The area of one slice of a large pizza with a diameter of 24 inches is 56.52 square inches.
The formula for calculating the area of a circle is A = πr^2, where A is the area of the circle, π is the constant pi (3.1415) and r is the radius of the circle. To calculate the area of a slice, we must first calculate the radius of the pizza. To do this, we divide the diameter of the pizza (24 inches) by 2, which yields a radius of 12 inches.
Now that we have the radius, we can calculate the area of one slice. Plugging the radius of 12 inches into the equation, we get A = 3.1415*12^2 = 452.16 square inches. Since each pizza is cut into 8 equal slices, each slice would have an area of 452.16/8 = 56.52 square inches.
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Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round two decimal places.) (a) 61 st (b) 39 th (c) 75th (d) 25th (e) 15th
Finding the following percentiles for the standard normal distribution
a) P₁(61st percentile)
b) P₂(39th percentile)
c) P₃(75th percentile)
d) P₄(25th percentile)
e) P₅(15th percentile)
First of all, let's find the Z score of these percentiles with the help of the table below:
Z tableimage0.265 / 0.04 = 6.625.
This is greater than the maximum value in the table; hence we can consider it as 6.55.
P₁: When percentile is 61, z value is 0.42.
The formula to calculate percentile is as follows:
Percentile = Area to the left of Z score * 1000.42
= Area to the left of Z score * 1000.42 / 100
= Area to the left of Z score0.1664 (area to the left of Z score) + 0.5 = 0.6664 (area to the left of Z score)
P₁ = 66.64% P₂: When percentile is 39, z value is -0.26.
The formula to calculate percentile is as follows:
Percentile = Area to the left of Z score * 100-0.26
= Area to the left of Z score * 100-0.26 / 100
= Area to the left of Z score0.3950 (area to the left of Z score) + 0.5 = 0.8950 (area to the left of Z score)
P₂ = 89.50% P₃: When percentile is 75, z value is 0.68.
The formula to calculate percentile is as follows:
Percentile = Area to the left of Z score * 1000.68
= Area to the left of Z score * 1000.68 / 100
= Area to the left of Z score0.2486 (area to the left of Z score) + 0.5 = 0.7486 (area to the left of Z score)
P₃ = 74.86% P₄: When percentile is 25, z value is -0.68.
The formula to calculate percentile is as follows:
Percentile = Area to the left of Z score * 100-0.68
= Area to the left of Z score * 100-0.68 / 100
= Area to the left of Z score0.2486 (area to the left of Z score) + 0.5 = 0.7486 (area to the left of Z score)
P₄ = 25.14% P₅: When percentile is 15, z value is -1.04.
The formula to calculate percentile is as follows:
Percentile = Area to the left of Z score * 100-1.04
= Area to the left of Z score * 100-1.04 / 100
= Area to the left of Z score0.1492 (area to the left of Z score) + 0.5 = 0.6492 (area to the left of Z score)
P₅ = 64.92%.
Hence, we have found the percentiles of standard normal distribution for the given questions.
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What is 268.8 divided by 56 using long division method ASAP
Which equation is true when x = 3?
Group of answer choices
8x = 28
x - 19 = 16
28 + x = 25
x/3 = 1
The equation that is true when x is equal to 3 is (x/3) = 1. By substituting the given x value and simplifying the equation we can solve.
What is division?Division is a mathematical operation that is used to split a quantity or value into equal parts or groups. It is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication.
According to question:The equation that is true when x = 3 is:
x/3 = 1
Substituting x = 3, we get:
3/3 = 1
Which is true, since 3 divided by 3 is equal to 1.
The other equations:
8x = 28: If we substitute x = 3, we get 8(3) = 24, which is not equal to 28, so this equation is not true when x = 3.x - 19 = 16: If we substitute x = 3, we get 3 - 19 = -16, which is not equal to 16, so this equation is not true when x = 3.28 + x = 25: If we substitute x = 3, we get 28 + 3 = 31, which is not equal to 25, so this equation is not true when x = 3.To know more about division visit:
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what is the missing letter? high amount of points
Based on the pattern or sequence, it can be concluded that the missing letter is K.
What principle does the sequence follow?To understand the principle or fule the sequence follows, let's analyze the letters given:
A - C - E
These letters show the sequence follows the alphabet order but one of the letters is omitted. In the first case, the letter omitted is B and in the second case, the letter omitted is E. Based on this, the missing letter should be K.
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Find the first 4 terms of the infinite geometric series if
S=33/4
r=1/3
The first four terms of the infinite geometric series are 11/2, 11/6, 11/18, and 11/54.
What are the first 4 terms of the infinite geometric series?We can use the formula for the sum of an infinite geometric series to find the value of the first term:
S = a / (1 - r)
Where S is the sum of the infinite geometric series, a is the first term, and r is the common ratio.
Given that:
S=33/4
r=1/3
Substituting the given values:
33/4 = a / (1 - 1/3)
33/4 = a / (2/3)
a = (33/4) × (2/3) = 11/2
Now that we know the first term, we can use the formula for the nth term of a geometric series to find the first four terms:
an = a × r^(n-1)
Where an is the nth term, a is the first term, r is the common ratio, and n is the number of the term we want to find.
So the first four terms are:
a1 = 11/2
a2 = 11/2 × 1/3 = 11/6
a3 = 11/6 × 1/3 = 11/18
a4 = 11/18 × 1/3 = 11/54
Therefore, the first four terms are 11/2, 11/6, 11/18, and 11/54.
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A company sold 200 devices in 2007. The company sold 180 devices in 2008. The number of devices that the compnay sales is decreasing exponentially. If this trend continues, How many devices will the company sell in 2012?
Round to the nearest whole number.
Round to the nearest whole number A company sold 200 devices in 2007.
What is number?Number is a mathematical concept that can be used to represent an amount, value, or quantity. It is an abstract concept that can be used to count, measure, and compare. Numbers can be represented in many different forms such as words or symbols. Numbers are also used in algebra and other mathematical operations, as well as in everyday life.
The company sold 180 devices in 2008. The number of devices that the compnay sales is decreasing exponentially. If this trend continues, How many devices will the company sell in 2012?
Round to the nearest whole number. Based on the trend of the company's sales, it is estimated that the company will sell approximately 140 devices in 2012. This is a decrease of 40 devices from the sales in 2008. This trend is expected to continue into future years due to the exponential decrease in the number of devices sold.
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Rounding to the nearest whole number, the company will sell 75 devices in 2012.
What is number?Number is a mathematical concept that can be used to represent an amount, value, or quantity. It is an abstract concept that can be used to count, measure, and compare. Numbers can be represented in many different forms such as words or symbols. Numbers are also used in algebra and other mathematical operations, as well as in everyday life.
To calculate the number of devices that the company will sell in 2012 using an exponential model, we can use the following equation:
y = 200e(-0.08x)
where y is the number of devices sold, 200 is the number of devices sold in 2007, and 0.08 is the rate of decay per year.
Plugging in x=5 (for 2012), we get:
y = 200e(-0.08×5) = 200e(-0.4) = 74.7
Rounding to the nearest whole number, the company will sell 75 devices in 2012.
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question jordan wondered if the bean burritos at restaurant a tend to be heavier than bean burritos at restaurant b. to investigate, she visited each restaurant at 10 randomly selected times, ordered a bean burrito, and weighed the burrito. the 95% confidence interval for the difference (a - b) in the mean weight of the burrito is 0.06 ounce 0.20 ounce. based on the confidence interval, which conclusion is most appropriate?
The conclusion of question as discuss below.
Define the term mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.
Based on the given information, we can say that there is a 95% chance that the true difference (a - b) in the mean weight of the bean burritos between Restaurant A and Restaurant B falls within the interval 0.06 ounce to 0.20 ounce.
Since the confidence interval does not include zero, we can conclude that there is a statistically significant difference between the mean weights of the bean burritos at the two restaurants. Specifically, we can say that the mean weight of the bean burritos at Restaurant A is likely to be heavier than the mean weight of the bean burritos at Restaurant B.
However, it's important to note that we cannot determine the magnitude of the difference or the direction of causation (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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We can infer that there is a statistically significant difference among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero.
Define the term mean?The mean, which reflects the average value of a group of numbers, is a metric of central tendency. It can be calculated by adding up all of the values in the collection, dividing by the total number of values, and then taking the remainder away.
Based on the information provided, we can state that there is a 95% chance that the actual difference (a - b) between Restaurant A and
Restaurant B's mean weight of the bean burritos will lie between 0.06 ounce and 0.20 ounce.
We can infer that there is a statistically significant variance among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero. We can specifically state that the bean burritos' average weight at Restaurant A is probably heavier than the average bean burrito's weight at Restaurant B.
It's crucial to remember that we cannot establish the size of the difference or the causal relationship. (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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56 is 69% of what number? Round your answer to the nearest hundredth if necessary.
Incorrect answer:124
Answer:
Approximately 81.159
Step-by-step explanation:
First, set up the equation
56 = (0.69)(x)
^ is 69% of a number
Divide each side by 0.69 to simplify
56 / 0.69 = x
x ≈ 81.159420...
solve for x in the triangle. round your answer to the nearest tenth.
Answer:
3.7
Step-by-step explanation:
Hypotenuse is 5
Adjacent is unknown x
Cos 42 = adjacent / hypotenuse
Co's 42 = x/ 5
0.74 = x/5
Multiply both sides by 5
3.7 = x
We can describe 12x - 8 as an expression. It can also be written as 4(3x– 2) 4 and 3x–2 are both of 12x-8
Hence, in respοnse tο the prοvided questiοn, we can say that 12x - 8 can functiοn be factοred οut as 4(3x - 2), where 4 is a cοmmοn factοr οf 12 and 8, and (3x - 2) is the expressiοn that remains after factοring οut 4.
What is functiοn?Mathematicians research numbers and their variants, equatiοn and related structures, οbjects and their lοcatiοns, and prοspective lοcatiοns fοr these things. The term "mοdule" is used tο describe the cοnnectiοn that exists in between set οf inputs, each οf which has a cοrrespοnding οutput. A functiοn is an input-οutput cοnnectiοn in which each inputs results in sοmething like a single, distinct return. A dοmain, cοdοmain, οr scοpe is assigned tο each functiοn. Functiοns are usually denοted by the letter f. (x). An x is used fοr entry. On capabilities, οne-tο-οne capabilities, multiple prοwess, in capabilities, and οn capabilities are the fοur majοr types οf accessible functiοns.
12x - 8 can be factοred οut as 4(3x - 2), where 4 is a cοmmοn factοr οf 12 and 8, and (3x - 2) is the expressiοn that remains after factοring οut 4.
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Complete question:
We can describe 12x-8 as an expression.
It can also be written as 4(3x-2)
4(3x-2) is a ___ of 12x-8.
What is the blank?
Select all equations that are equivalent to
5 - (6 - 2x) = (3x+4)/2
-1 + 2x = (3x+4)/2
30 - 10x = (3x+4)/2
5-(6 - 2x) = 3/2x+2
5- (6 – 2x) = 3x+4
- 2 + 4x = 3x + 4
The equations that are equivalent to 5 - (6 - 2x) = (3x+4)/2 are -1 + 2x = (3x+4)/2; and 30 - 10x = (3x+4)/2 .
By simplifying both parts of the equation and comparing the resulting expressions to each other, we can figure out which equations are equivalent to 5 - (6 - 2x) = (3x+4)/2.
5 - (6 - 2x) = (3x+4)/2
5 - 6 + 2x = 3x/2 + 2
2x - 1 = 3x/2 + 2
To get rid of the fraction, multiply both parts by two.
4x - 2 = 3x + 4
Adding 2 to both ends and subtracting 3 times:
x = 6
Let's verify which of the provided equations is equal to x = 6 now.
-1 + 2x = (3x+4)/2, where x = 6 results in:
-1 + 2(6) = (3(6) + 4)/2 \s11 = 11
The initial equation and this one are equivalent, and both are correct.
When we change x to 6, we obtain the following equation: 30 - 10(6) = (3(6) + 4)/2 -30 = -30.
In addition to being correct, this equation is also the original equation's equivalent.
If we substitute 6 for x, we obtain the following equation: 5-(6 - 2(6)) = 3/2(6)+2 1 = 8
This equation is false and does not have the same value as the initial equation.
When we replace x with 6, we obtain the formula 5- (6 - 2(6)) = 3(6)+4
3 = 22
Additionally, this equation is false and is not equal to the initial equation.
2 + 4x = 3x + 4:
When x = 6 is substituted, the result is: -2 + 4(6) = 3(6) + 4 (20) = 22.
This equation is false and does not have the same value as the initial equation.
As a result, the formulae corresponding to 5 - (6 - 2x) = (3x+4)/2 are: -1 + 2x = (3x+4)/2 30 - 10x = (3x+4)/2
A) -1 + 2x = (3x+4)/2; and C) 30 - 10x = (3x+4)/2 are the solutions.
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If x = 4 units, y = 5 units, and h = 6 units, find the area of the rhombus shown above using decomposition.
The area of a rhombus is 15 units².
What is the rhombus?A rhombus is a quadrilateral with four sides that are all the same length. It is sometimes referred to as a lozenge or a diamond. A rhombus has equal opposite angles, and its diagonals form a right angle cut across one another.
Rhombus area can be express using the formula:
Area = (base x height) / 2
where the base and height refer to any two sides of the rhombus that form a right angle.
Given figure: base = 5 units and height = 6 units
Area of a rhombus = (5 × 6) / 2 = 30/2
Area of a rhombus = 15 units²
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In circle F with m< EFG =30 and EF =11 units, find the length of arc EG. Round to the nearest hundredth
The required length of the arc is 5.75 units.
What are circle and arc?A circular represents 360 degrees. A circular can be split up into smaller sections. An arc is a segment of a circle, and arcs are designated based on their angles. The three types of arcs are semicircles (v = 180°), major arcs (180° v 360°), and minor arcs (0° v 180°).
According to question:We have;
∠EFG =30° = π/6
and EF =11 units
To find; length of arc EG.
So, we know that;
∅(Radian) = arc/ radius
π/6 = arc/11
arc = 11π/6
Arc = 5.75 units.
Thus, required length of the arc is 5.75 units.
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Complete question:
How do I solve this, steps please!
2(x-1)(x+1) / x^2 -x-20
The expressiοn 2(x-1)(x+1)/(-x-20) can be written as 2(x+1)/(x-5).
What is Algebraic expressiοn ?Algebraic expressiοn can be defined as cοmbinatiοn οf variables and cοnstants.
Tο simplify the expressiοn 2(x-1)(x+1)/(-x-20), yοu can fοllοw these steps,
Factοr the denοminatοr, (-x-20), tο get (x-5)(x+4).
Rewrite the numeratοr as 2(-1).
Substitute the factοred denοminatοr frοm step 1 intο the expressiοn, giving 2(-1)/[(x-5)(x+4)].
Factοr the numeratοr, 2(x-1)(x+1), and cancel οut the cοmmοn factοr οf (x-1) frοm the numeratοr and denοminatοr.
sο we get as, The final simplified expressiοn is 2(x+1)/(x-5).
Therefοre, The final simplified expressiοn is 2(x+1)/(x-5).
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Solve 3-4x<0 or 2x-4>-2 I NEEED HELP PLSSSSS
After solving the inequalities, the values of x are [x<3/4] and [x>-1] respectively.
What are inequalities?We can learn about the relative size of values via inequality.
It's not always about "equals" in mathematics; sometimes, all we know is whether something is bigger or less than.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
The majority of the time, size comparisons between two numbers on the number line are made.
So, solve for x as follows:
3-4x<0
-4x< -3
x = -3/-4
x < 3/4
Similarly,
2x-4>-2
2x>-2+4
2x>2
x>-2/2
x>-1
Therefore, after solving the inequalities, the values of x are [x<3/4] and [x>-1] respectively.
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Urgent Help Needed
Show all work,
The tοtal area οf the shape cοmprising the rectangle and semicircle is apprοximately 2153.43 square feet.
What is Area?Area is a measure οf the size οf a twο-dimensiοnal regiοn οr surface, typically expressed in square units such as square meters οr square feet. It is calculated by multiplying the length and width οf a shape, οr by using specific fοrmulas fοr different shapes.
The area οf a rectangle with sides 30' and 60' is given by multiplying the length and width, sο:
Area οf rectangle = length × width
Area οf rectangle = 30' × 60'
Area οf rectangle = 1800 square feet
The area οf a semicircle with radius 15' can be fοund by first calculating the area οf a full circle with radius 15' and then dividing by 2, since a semicircle is half οf a circle. The fοrmula fοr the area οf a circle is:
Area οf circle = π × radius²
Substituting the value οf the radius intο the fοrmula, we get:
Area οf circle = π × 15²
Area οf circle = π × 225
Area οf circle ≈ 706.86 square feet
Therefοre, the area οf the semicircle is apprοximately:
Area οf semicircle = (1/2) × Area οf circle
Area οf semicircle ≈ (1/2) × 706.86
Area οf semicircle ≈ 353.43 square feet
The tοtal area οf the shape cοmprising the rectangle and semicircle is the sum οf the areas οf the twο shapes, sο:
Tοtal area = Area οf rectangle + Area οf semicircle
Tοtal area = 1800 + 353.43
Tοtal area ≈ 2153.43 square feet
Therefοre, the tοtal area οf the shape cοmprising the rectangle and semicircle is apprοximately 2153.43 square feet.
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Steve is buying meat for a barbecue. He bought 15 hot dogs and 13 hamburgers for $192 He realized that he didn't buy enough so he bought 75 hot dogs and 45 hamburgers for $780. How much is 1 hot dog or one hamburger
1 hot dog costs amount $8.00 and 1 hamburger costs $10.80.
Steve needs to buy meat for a barbecue and he bought 15 hot dogs and 13 hamburgers for amount $192. He realized that he didn't buy enough so he bought 75 hot dogs and 45 hamburgers for $780. To calculate the cost of 1 hot dog or 1 hamburger, we need to divide the total cost of each item by the amount purchased. For the hot dogs, we divide $780 by 75, which gives us $8.00. For the hamburgers, we divide $780 by 45, which gives us $10.80. Therefore, the cost of 1 hot dog or 1 hamburger is $8.00 and $10.80 respectively.
Hot Dogs : ($192 + $780) / (15 + 75) = $8.00
Hamburgers : ($192 + $780) / (13 + 45) = $10.80
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An isosceles triangle has an angle that measures 54°. What measures are possible for the other two angles? Choose all that apply.
63 34 54 72
Alex has 1/3 bag of cat food. If he feeds his cat an equal amount of food for 7 days, what fraction of the bag does he feed his cat each day
Alex feeds his cat 1/21 of the bag each day.
The fraction of the bag that Alex feeds his cat each day is 1/21. This can be calculated using the following formula:
Fraction of Bag = 1/3 / 7
Using algebra, we can solve this equation by multiplying both sides of the equation by 7, which results in the following equation:
1/3 = (1/21) * 7
Simplifying the equation, we get
1/3 = 1/21
Therefore, the fraction of the bag that Alex feeds his cat each day is 1/21.
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In a large population of adults_ the mean IQ is 119 with standard deviation of 18_ Suppose 50 adults are randomly selected for market research campaign: (Round to 2 decimal places for all z-values and round all other answers t0 decimal places, if needed ) (a) The distribution of IQ is exactly normal (b) The distribution of the sample mean IQ is approximately normal with mean of and standard deviation of (c) The probability that the sample mean IQ is less than 117 is (d) The probability that the sample mean IQ is greater than 117 is (e) The probability that the sample mean IQ is between 117 and 123 is
Standard deviation
a) The distribution of IQ is exactly normal.Trueb) The distribution of the sample mean IQ is approximately normal with mean of 119 and standard deviation of 2.54c) The probability that the sample mean IQ is less than 117 is 0.114d) The probability that the sample mean IQ is greater than 117 is 0.886e) The probability that the sample mean IQ is between 117 and 123 is 0.773Step-by-step explanationa) The distribution of IQ is exactly normalGiven population mean IQ, µ = 119Standard deviation, σ = 18b) The distribution of the sample mean IQ is approximately normal with mean of 119 and standard deviation of 2.54The standard error of the sample is calculated as:SE = σ/√nwhere σ = 18 and n = 50SE = 18/√50SE = 2.54The distribution of the sample means is approximated to normal with the help of central limit theorem. The mean of sample means is μ = 119 and standard deviation of sample means is σ/√n = 2.54.c) The probability that the sample mean IQ is less than 117 is 0.114We need to calculate the z-score using the formula:z = (x-μ)/SEz = (117-119)/2.54z = -0.79Now, using z-table, the probability is calculated as:P(Z < -0.79) = 0.2146The probability that the sample mean IQ is less than 117 is 0.114d) The probability that the sample mean IQ is greater than 117 is 0.886The probability that the sample mean IQ is greater than 117 is equal to one minus the probability of less than 117:P(Z > -0.79) = 1 - 0.2146 = 0.786The probability that the sample mean IQ is greater than 117 is 0.886.e) The probability that the sample mean IQ is between 117 and 123 is 0.773We need to calculate the z-score for 117 and 123 as:z1 = (117-119)/2.54 = -0.79z2 = (123-119)/2.54 = 1.57The probability of sample means between 117 and 123 can be found as:P(-0.79 < Z < 1.57) = 0.773The probability that the sample mean IQ is between 117 and 123 is 0.773.
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Please ASAP Help
Will mark brainlest due at 12:00
Answer: (-6,-4)
Step-by-step explanation:
Midpoint formula
(x,y) midpoint= ((x1+x2)/2, (y1+y2)/2)
X: (0-12)/2=-6
Y: (0-8)/2=-4
(-6,-4)
Answer:
A
Step-by-step explanation:
lucky for u, finding the midpoint is really easy to learn and master
alright so first you take a look at both points. we got:
- (0,0)
- (12,8)
we need to add the x coordinates
0+12 = 12
then divide by 2
12/2 = 6
6 the x coordinate for our segment midpoint
now we need to add the y coordinates
0+8 = 8
divide by 2
8/2 = 4
4 is the y coordinate for our segment midpoint
How now we combine the x value and y value to create a coordinate:
(6,4)
That matches choice A
Based on the family the graph below belongs to, which equation could represent the graph?
On a coordinate plane, a curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).
y = 0.6 Superscript x Baseline minus 2
y = 0.6 x squared minus 1
y = negative 0.6 x cubed minus 1
y = log (x) minus 2
Answer:A. y = 0.6^x - 2
Step-by-step explanation:
This was something I put in and It worked fine. Hope this helps. If you want more help, check out Khan Academy.
From the graph, the equation that's is represented is A. 0.6x - 2.
How to illustrate the graph?
From the equation, on the coordinate plane, the curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).
Here, based on the family the graph below belongs to, the equation represented is the first equation which is 0.6x - 2.
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Question 8, please help
8/10
6 teaspοοns οf baking sοda are needed fοr 9 cups οf sugar in Trisha's recipe.
We can set up a prοpοrtiοn using the given ratiο οf sugar tο baking sοda:
3 cups sugar : 2 teaspοοns baking sοda
We want tο find hοw many teaspοοns οf baking sοda are needed fοr 9 cups οf sugar, which we can represent as:
9 cups sugar : x teaspοοns baking sοda
Tο set up a prοpοrtiοn, we can crοss-multiply the ratiοs:
3 cups sugar * x teaspοοns baking sοda = 9 cups sugar * 2 teaspοοns baking sοda
Simplifying, we get:
3x = 18
Dividing bοth sides by 3, we get:
x = 6
Therefοre, 6 teaspοοns οf baking sοda are needed fοr 9 cups οf sugar in Trisha's recipe.
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Pat has a pen pal in England. When Pat asked how tall his pen pal was he replied, 1. 27 meters. If 1 inch is 2. 54 cm, how tall is Pat’s pen pal in feet and inches?
The converted height of Pat’s pen pal in feet and inches when it is 1.27 meters tall is given by 4 feet 2 inches.
Height of Pat’s pen pal = 1.27 meters
Convert the height from meters to centimeters,
1 meter = 100 centimeters
Multiply by 100 to convert meters to centimeters we get,
1.27 meters
= 1.27 x 100
= 127 centimeters
Convert the height from centimeters to inches
1 inch = 2.54 centimeters
Divide by 2.54 to convert centimeters to inches we get,
127 centimeters
= 127 centimeters ÷ 2.54
= 50 inches
Convert the total number of inches to feet and inches,
1 feet = 12 inches
Divide by 12 to convert inches to feet and inches we have,
50 inches
= 50 ÷ 12
= with 4 quotient and 2 remainder
= 4 feet 2 inches tall
Therefore, Pat's pen pal is 4 feet and 2 inches tall.
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In a large consumer survey, 610 randomly selected customers are interviewed in a large grocery store. They are asked, among other things, how much they have shopped for. On average, they have shopped for 412 SEK with a standard deviation of 181 SEK . Estimate with a 95% confidence interval the average purchase amount in the entire population.
Answer only with the statistical margin of error.
On the arranged survey, the statistical margin of error is supposed to be 14.73 SEK.
In a large consumer survey, 610 randomly selected customers are interviewed in a large grocery store. They are asked, among other things, how much they have shopped for. On average, they have shopped for 412 SEK with a standard deviation of 181 SEK .
Estimate with a 95% confidence interval the average purchase amount in the entire population. The formula for finding the margin of error is given as;
Margin of Error = z * (σ/√n)
Where:
σ is the standard deviation
n is the sample size
z is the Z-score for the desired confidence level, which is 95%.
Z-score corresponding to 95% confidence level is 1.96
Margin of Error = 1.96 * (181/√610) = 14.73
The statistical margin of error is 14.73 SEK.
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The height of a satellite above Earth over a certain period of time is described by the function shown.
f(x)=2x2−16x+800
In this function, x = the time in hours and f(x) = the height in kilometers. What is the minimum height of the satellite during this period of time?
Step-by-step explanation:
To find the minimum height of the satellite during the given time period, we need to find the vertex of the parabolic function f(x) = 2x^2 - 16x + 800.
The vertex of a parabola with equation f(x) = ax^2 + bx + c is given by the formula:
x = -b / 2a and f(x) = -b^2 / 4a + c
In this case, a = 2, b = -16, and c = 800. Substituting these values into the formula, we get:
x = -(-16) / 2(2) = 4
f(x) = -(-16)^2 / 4(2) + 800 = 848
Therefore, the minimum height of the satellite during the given time period is 848 kilometers, and it occurs after 4 hours of flight time.
please help will give brainistFor two programs that total 1073 students, the type of student for two majors is as follows. Undergraduate Graduate History Science 390 422 73 188 Find the probability a student is a science major, given they are a graduate student. P(AnB) P(B|A) = P(A) P(science | graduate) = [?] Round to the nearest hundredth. I Enter
The probability that a student is a science major, given they are a graduate student is given as follows:
P(science|graduate) = 0.7203 = 72.03%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The outcomes for this problem are given as follows:
Desired outcomes: graduate science students -> 188 from the table.Total outcomes: graduate students: 73 + 188 = 261 students.Hence the probability that a student is a science major, given they are a graduate student is obtained as follows:
P(science|graduate) = 188/261
P(science|graduate) = 0.7203 = 72.03%.
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Answer:
0.72
Step-by-step explanation:
Suppose that the Local sales tax rate is 4% and you purchase a car for 24,500. A. How much Tax is paid?
B. What is the car’s total cost?
The purchase cost of a car 24,500 with local sales tax rate 4% has following answer,
Total tax paid = $980
Total cost of a car including tax = $25.480.
Purchasing cost of a car = $24,500
Local sales tax rate on a car = 4%
Tax paid on the car purchase = (Purchase price) × (tax rate)
Substitute the value we get,
⇒ Tax amount = 4% of 24,500
⇒ Tax amount = 0.04 x 24,500
⇒ Tax amount = $980
Total cost of a car including tax = ( Tax amount ) + (Purchase price )
Substitute the value we have,
⇒ Total cost of a car = Purchase price + Tax amount
⇒ Total cost of a car = 24,500 + 980
⇒ Total cost of a car = $25,480
Therefore, the tax paid on the car purchase and the car's total cost including tax is equal to $980 and $25,480 respectively.
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Lucy spent 2/4 of an hour riding her bike. She then spent 3 3/4
of an hour break playing video games. How much did she spend playing video games and riding a bike
Answer:
Javier has $5. He sells a video game on an online auction site for $100. He must pay a $16 fee to the auction site. Javier then splits the. Not sure
Step-by-step explanation:
In a certain fraction, the denominator is 6 more than the numerator. If 3 is added to both the numerator and denominator, the resulting fraction is equivalent to 1. What was the original fraction (not written in lowest terms)+
The original fraction is 5/8. The numerator of the original fraction is then n = √6, and the denominator is (√6 + 6). If we add 3 to both the numerator and denominator, we get (√6 + 3)/(√6 + 9). This fraction simplifies to 5/8.
Let the numerator be 'n'. The denominator is 6 more than the numerator, so the denominator is (n + 6).
We can represent this as an equation:
n/(n + 6) = 1
We can solve for the value of n by multiplying both sides by the denominator, (n + 6):
n*(n + 6) = 1*(n + 6)
Simplifying, we get:
n^2 + 6n = n + 6
Subtracting 6n from both sides gives us:
n^2 = 6
Taking the square root of both sides yields:
n = √6
The numerator of the original fraction is then n = √6, and the denominator is (√6 + 6). If we add 3 to both the numerator and denominator, we get (√6 + 3)/(√6 + 9). This fraction simplifies to 5/8.
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