Answer:
9 1/6
Step-by-step explanation:
3 2/3 divided by 2/3
First convert 3 2/3 into a whole number
3 2/3 = 11/3
11/3 x 2/3 = 55/3
55/3 into a mixed number is 9 1/6
25.20 ÷ -0.5
How do I write out how I divided it?
Answer:
You can write it like 25.20 x -2 = -50.40
Step-by-step explanation:
If y=x+2 we’re changed to y=x-1, how would the graph of the new function compare with the first one?
The graph of the new function compared to the first one will be shifted down.
Define vertical translation.Vertical translation describes the movement of a function graph upward or below. The function's form is preserved in this case. The graph moving or shifting along the y-axis is another name for it. Each point on the graph moves k units vertically during vertical translation, and the graph is said to have translated k units.
The two functions are
f(x) = x + 2
g(x) = x - 1
You can see that all you need to do to transform f into g is just take 3 off of it.
f(x) - 3 = (x+2) - 3
= x + 2 - 3
= x - 1
= g(x)
Every transformation, such as f(x) f(x) + k, now produces a vertical translation, which is translated upward if k > 0 and downward if k 0. The correct response is C since the function is translated three units down in our situation where k = -3.
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The complete question is:
"If y = x + 2 were changed to y = x - 1, how would the graph of the new function compare with the first one?
A. It would be shifted up.
B. It would be shifted left.
C. It would be shifted down.
D. It would be less steep."
linear regression analysis calculated a slope of -0.017 and a y intercept of 39.11. what would be the predicated depression score if the mhpg level was 1100?
As per the linear regression analysis, the predicated depression score if the MHPG level was 1100 is 20.41
Linear regression analysis:
In math , linear regression analysis means a regression model that estimates the relationship between one independent variable and one dependent variable using a straight line.
Given,
linear regression analysis calculated a slope of -0.017 and a y intercept of 39.11.
Here we need to predict the depression score if the mhpg level was 1100.
We know the that standard form of the line of equation for straight line is written as,
y = mx + c
where m refers the slope and c refer the y intercept.
Then the line of the equation of this linear regression analysis is written as,
=> y = -0.017x + 39.11
In this equation x refers the MHPG level.
So, the value of x is 1100, then the predicated depression score is calculated as,
=> y = -0.017(1100) + 39.11
=> y = -18.7 + 39.11
=> y = 20.41
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Kobe is twice as old as Lebron. The sum of their ages is 48. How old are each of them?
Answer:
37 is LeBron 41 years old is kobe
During an electronic store's Sale Days, the regular price of CD Players is discounted $10. There is a state sales tax of 5%, and the $10 discount is applied before the sales tax is calculated.
A. Write an expression that shows the regular price r of a CD Player minus the $10 discount.
B. Write a rule for the function p(r) that expresses the final price p of a CD Player with the discount applied and sales tax included
C. How much would you pay during Sale Days for a CD Player regularly priced at $29.50?
Answer:
A) r - 10
B) p(r) = 1.05(r - 10)
C) $20.48 (nearest cent)
Step-by-step explanation:
Part AIf r is the regular price of a CD player, then an expression for the regular price minus the $10 discount is:
r - 10Part BIf a state tax of 5% is applied to a sale, then the cost of the item will be 105% of its regular price. 105% expressed as a decimal is 1.05.
Therefore, we need to multiply the expression from part A by 1.05 to find the final price of the CD player:
p(r) = 1.05(r - 10)Part CTo calculate how much would you pay during Sale Days for a CD Player regularly priced at $29.50, substitute r = 29.5 into the function from part B:
⇒ p(r) = 1.05(29.50 - 10)
⇒ p(r) = 1.05(19.50)
⇒ p(r) = 20.475
Therefore, you would pay $20.48 (rounded to the nearest cent) for a CD Player during Sale Days.
A multiple regression model is to be constructed to predict the heart rate in beats per minute (bpm) of a person based upon their age, weight and height. Data has been collected on 30 randomly selected individuals: Heart Rate (bpm) Age (yrs) Weight (lb) Height (in) 77 54 178 63 69 39 138 58 108 57 227 68 88 48 154 64 59 58 154 57 84 59 180 73 62 30 232 71 119 54 242 65 65 38 169 61 62 27 182 66 56 34 208 58 60 31 243 62 81 42 213 74 108 56 205 69 56 56 124 71 89 59 213 65 68 28 209 72 57 23 188 62 107 55 212 59 95 50 221 61 55 48 154 60 110 49 196 61 110 33 250 64 62 29 109 63 90 33 201 74 73 51 121 70 88 55 159 63 59 49 103 66 69 36 214 68 57 34 102 65 a)Find the multiple regression equation using all three explanatory variables. Assume that x1 is age, x2 is weight and x3 is height. Give your answers to 3 decimal places. y^ = + age + weight + height b)At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis is or is not rejected? c)The explanatory variable that is most correlated with heart rate is: age weight height d)The explanatory variable that is least correlated with heart rate is: age weight height e)The value of R2 for this model, to 3 decimal places, is equal to f)The value of s for this model, to 3 decimal places, is equal to g)Construct a new multiple regression model by removing the variable height. Give your answers to 3 decimal places. The new regression model equation is: y^ = + age + weight h)In the new model compared to the previous one, the value of R2 (to 3 decimal places) is: increased decreased unchanged i)In the new model compared to the previous one, the value of s (to 3 decimal places) is: increased decreased unchanged
If the model's p-value is less than 0.05, we rule out the null hypothesis and declare it to be significant.
Using the R software.
R codes : d=read.table('data.csv',header=T,sep=',')
head(d)
attach(d)
fit=lm(Heart.Rate~Age+Weight+Height)
summary(fit)
fit2=lm(Heart.Rate~Age+Weight)
summary(fit2)
R outputs:
> d=read.table('data.csv',header=T,sep=',')
> head(d)
Heart Rate Age Weight Height
1 85 60 201 67
2 102 48 263 59
3 67 58 167 69
4 58 58 109 60
5 75 40 135 62
6 70 27 144 64
> attach(d)
> fit= lm(Heart.Rate~Age+Weight+Height)
> summary(fit)
Call:
lm(formula = Heart.Rate ~ Age + Weight + Height)
Residuals:
Min 1Q Median 3Q Max
-21.1662 -7.9919 0.3377 10.3521 25.4165
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -2.86211 36.23799 -0.079 0.9377
Age 0.45993 0.21595 2.130 0.0428 *
Weight 0.12192 0.04841 2.519 0.0183 *
Height 0.59428 0.50119 1.186 0.2464
Significant codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 13.15 on 26 degrees of freedom
Multiple R-squared: 0.2841, Adjusted R-squared: 0.2015
F-statistic: 3.439 on 3 and 26 DF, p-value: 0.03137
> fit2=lm(Heart.Rate~Age+Weight)
> summary(fit2)
Call:
lm(formula = Heart.Rate ~ Age + Weight)
Residuals:
Min 1Q Median 3Q Max
-26.126 -9.851 1.049 10.328 22.284
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 36.63974 14.36802 2.550 0.0168 *
Age 0.45122 0.21744 2.075 0.0476 *
Weight 0.12065 0.04876 2.474 0.0199 *
Significant codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 13.25 on 27 degrees of freedom
Multiple R-squared: 0.2454, Adjusted R-squared: 0.1895
F-statistic: 4.39 on 2 and 27 DF, p-value: 0.02235
a) Multiple linear regression equation :
y hat = -2.862 + 0.460 X1 + 0.122 x2 + 0.594 x3
b) F = 3.439 on 3 and 26 DF,
p-value: 0.03137
We reject the null hypothesis and determine that the model is significant because the p-value is less than 0.05.
c) Heart rate is highly linked with the variable whose p-value is less than that variable. Heart rate and fluctuating weight are strongly connected in this instance.
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3 1/2 4. 2/5= ?
Please help me answer it please (you get 35 points
)
The Resulting values are
1. By adding
3 1/2 + 4 2/5= 79/10
2. Subtraction
3 1/2 - 4 2/5 = -9/10
3. By Multiplying
3 1/2 x 4 2/5 = 154/ 10
4. By Dividing
3 1/2 ÷ 4 2/5 = 35/44
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
3 1/2 4. 2/5
So, by adding
= 3 1/2 + 4 2/5
= 7/2 + 22/5
= 79/10
So, by Subtraction
= 3 1/2 - 4 2/5
= 7/2 - 22/5
= -9/10
So, by Multiplying
= 3 1/2 x 4 2/5
= 7/2 x 22/5
= 154/ 10
So, by Dividing
= 3 1/2 ÷ 4 2/5
= 7/2 ÷ 22/5
= 7/2 x 5/22
= 35/44
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8(-2)^3 + (5) x 4^1
can you explain this is steps?
Answer: I did my best
Step-by-step explanation:
8(−2)3+5x41
Simplifies to:
5x4−64
=5x4−64
cassie pulled the boat onto the ice and adjusted its sails. once she got started she would be able to steer, change direction and control her speed with a few twists of the ropes. giving the boat a mighty heave across the ice, cassie jumped in.
Wind Energy is the kind of energy will Cassie uses to power the boat cassie jumped in.
What is wind energy?
The method of producing electricity using air or wind currents that naturally occur in the earth's atmosphere is known as wind energy (or wind power). Electricity is produced by modern wind turbines that harness the kinetic energy of the wind. Wind passing across the turbine's blades is the initial step.
What is the major problem with wind energy?
Wind energy has the potential to have negative environmental effects, including the possibility of reducing, fragmenting, or deteriorating habitat for wildlife, fish, and plants, as with all energy supply choices. Furthermore, flying animals like birds and bats may be harmed by turbine blades in operation.
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chien visits the park every 5 days and goes to the library every 6 days if chien does both of these today how many days will pass before chien gets to do both on the same day again
Answer:
30
Step-by-step explanation:
For this problem she goes to the park every 5 days so, 5,10,15,20,25,30 and so on and she goes to the library every 6 days so, 6,12,18,24,30,36 and so on. 30 is the GCF of both so that is the answer
To determine how American college students feel about commuting, 100 students at a private university were randomly chosen by selecting 50 men and 50 women to participate. They were asked how far they commute each day (in minutes) to campus.
The results of this survey are unreliable primarily because of
voluntary response bias
sampling bias
the absence of a control group
response bias
None of the above
The key reason why this investigation's findings are erroneous is sampling bias. In statistics, sampling bias refers to a bias during which a sample is constructed in a way that makes some members of the intended population less likely than others to be included.
A private university's 100 students, 50 men, and 50 women were randomly chosen to participate in a study on how American college students felt about commuting. They were questioned about their daily commuting distance (in minutes) to college. The key reason why this investigation's findings are erroneous is sampling bias.
When certain individuals of a population are consistently more likely to be chosen in a sample than others, this is known as sampling bias. In the medical sciences, it is also known as ascertainment bias. Because sampling bias jeopardizes external validity, particularly population validity, it restricts the generalizability of findings.
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If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
10,000n(x/100)
The reasoning is from the following:The formula for simple rate of interest is F = P(1+rt) whereF = future valueP = present valuer = ratet = time
If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)
What do you understand by the term simple interest?Simple interest is a quick and straightforward technique to compute interest on money. In the simple interest method, interest always applies to the initial principle amount, with the same rate of interest for each time cycle. When we put our money in a bank, we receive x percent simple annual interest on it. Banks charge many kinds of interest, one of which is simple interest. Now, before delving further into the idea of simple interest, let's first define what a loan is.
A loan is an amount borrowed by a person from a bank or other financial institution to meet their requirements. Home loans, auto loans, student loans, and consumer lending were just few examples of loans.
How to solve?
F = P(1+rt), where Future value is F, Present value is P, Rate is R, Time is t
F = 10,000(1+xn)
F = 10,000(xn)
F = 10,000(n * x/100)
F = 10,000n(x/100)
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two vertical poles have heights of 6ft and 12 ft. two ropes are stretched from the top of each pole to the bottom of the other. how far above the ground do the ropes intersect each other? (r3 - similarity
The square of the hypotenuse equals the square of the sum of the other two sides is 13.89ft
Definition Of Pythagoras Theorem :
The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.
Given:
Height of the Tent Pole = 6ft.
Base of the Pole of the Tent = 12ft.
Now we will use Pythagoras theorem to find how long the rope is.
Use of Pythagoras theorem
Hence, the length of the rope is 13.89ft.
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the term of a sequence is given. write the first four terms of the sequence. express the terms in simplified form when applicable.
The first four terms of the given sequence A(n)=4n^3+2 is 6, 34, 110, 258.
In the given question, the nth term of a sequence is given.
We have to write the first four terms of the sequence and we also have to express the terms in simplified form when applicable.
The given sequence is:
A(n)=4n^3+2
We find the four terms of the given sequence by putting n=1,2,3,4 in the given sequence.
Now putting n=1 in the given sequence
A(1)=4(1)^3+2
A(1)=4*1+2
A(1)=4+2
A(1)=6
Now putting n=2 in the given sequence
A(2)=4(2)^3+2
A(2)=4*8+2
A(2)=32+2
A(2)=34
Now putting n=1 in the given sequence
A(3)=4(3)^3+2
A(3)=4*27+2
A(3)=108+2
A(3)=110
Now putting n=1 in the given sequence
A(4)=4(4)^3+2
A(4)=4*64+2
A(4)=256+2
A(4)=258
Now the first four terms of the given sequence is 6, 34, 110, 258.
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The right question is:
The nth term of a sequence is given. Write the first four terms of the sequence. Express the terms in simplified form when applicable.
A(n)=4n^3+2
Tabitha and her parents drive to Dallas for a
wedding. After 90 minutes, Tabitha's father
tells her they have traveled 105 miles. What is
the average rate of speed the car travels in
90 minutes?
Answer:
Step-by-step explanation:
70 mph
Answer:
Step-by-step explanation:
hi
W varies jointly as x and y and inversely as the square of z. If w = 280 when x = 30, y = 12, and z = 3, find w when x = 20, y = 10 and z = 2. 117 350 69.
Using the inversely proportional method, we know that w=350.
What do we mean by inversely proportional?If two quantities are inversely related, one will increase while the other will decrease.
Building a wall would be an example of an inverse proportion in action.
The time it takes to construct a wall decreases as more people work on it.
So, the following is an expression for the joint variation of W with x, y, and z:
W = kxy / z²
Where k is the variational constant.
When the variables are given the initial set of values:
280 = k(30)(12) / 3²
K in the equation has a value of 7.
By adding the values of the subsequent:
w = (7)(20)(10) / 2² = 350
Therefore, using the inversely proportional method, we know that w=350.
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Answer:
350
Step-by-step explanation:
odyssey
Phil takes out a bank loan of $150 000 to buy a house, at an annual interest rate of 3.5%. The interest is calculated at the end of each year and added to the amount outstanding. Find the amount Phil would owe the bank after 20 years. Give your answer to the nearest dollar.
Phil's final debt after 20 years will be around $320,679.
How is debt calculated?To purchase a home, Phil borrowed $150,000 from a bank at a 3.5% annual interest rate.
The annual compounding of interest causes the amount of interest for each year to rise in proportion to the debt. Phil will be required to pay the initial sum plus interest after the first year, which comes to
$150,000 + 3.5% of $150,000 = $155,250.
Since interest is charged on the new amount owed for the second year, Phil will owe
$155,250 + 3.5% of $155,250, which
= $160,551.75.
For the next 20 years, this procedure is repeated, with the amount owed rising yearly by the sum of the year before plus interest. Phil's debt after 20 years will be around $320,679.
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if we wanted to compare the averages of each set of scores, what type of statistical test would you run and why?
A parametric test would be more suitable because it provides a more appropriate answer.
Jeffrey ate x ounces of M&M's. Priya ate 1/3 less than that. Which diagram matches that situation?
Jeffrey ate x ounces of M&M's. Priya ate 1/3 less than that. Which diagram matches that situation?
Option C
If k is the midpoint of jl, jk=8x 11 and kl=14x-1, find jl
The value of the line segment jl is found as the 27 units.
Explain the term midpoint of the line segment?The center of a line segment is known as the midpoint. It represents the centroid of a segment and of its ends, and it is equally distant from both of them.The midpoint is really a point that lies on a line connecting two other locations and sits in the middle of it. The midpoint is the point on the middle position that is equally distant first from two points if a lines is drawn connecting the two points.For the given question.
jk = 8x + 11
kl = 14x - 1
K is the mid point of the line segment JL.
Thus,
jk = kl
Put the values-
8x + 11 = 14x - 1
14x - 8x = 11 + 1
6x = 12
x = 2
Thus, jl = 8x + 11
jl = 8(2) + 11
jl = 27
Thus, the value of the line segment jl is found as the 27 units.
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if the car has traveled 61.5 miles in 2 hours,how far will the car have traveled in 5 hours?
Answer:
in five hours you will travel 153.75 miles
Hello!
What does this problem want:
==> how far will the car have traveled in 5 hours
What we must find ==> how many miles does the car travel in an hour
[tex]\text{Rate}=\frac{61.5 \text{ miles}}{2 \text{ hours}} =30.75\text{ miles per hour}[/tex]
Therefore: the car will travel in 5 hours
5 * 30.75 = 153.75 miles
Hope that helps!
in a study of a disease in which all cases that developed were ascertained, if the relative risk for the association between a factor and the disease is equal to or less than 1.0, then:
For the given statement , correct answer is option e: there is either no association or a negative association between the factor and the disease.
Reason with explanation:
Relative risk is a ratio which help us to compares the risk of a health between two groups. When the value of relative risk is 1, it represents the risk among the two groups is same. When the value of relative risk is > 1, it represents the risk is increased for the exposed group. And when relative risk < 1, it represents exposure protect against the disease. Hence for the given statement , a value of relative risk is equal or less than represents there is no association or negative association between a factor or a disease.The complete question is:
In a study of a disease in which all cases that developed were ascertained, if the relative risk for the association between a factor and the disease is equal to or less than 1.0, then:
a. There is no association between the factor and the disease
b. The factor protects against development of the disease
c. Either matching or randomization has been unsuccessful
d. The comparison group used was unsuitable, and a valid comparison is not possible
e. There is either no association or a negative association between the factor and the disease
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a kayack guide took two hours to paddle 20 miles downstream with the current and four hours to paddle 16 miles upstream against the current. find the speed of the current and the average paddling speed
The speed of current and average speed of paddling is 3 and 7 respectively.
Let p represents paddling speed of kayack guide and c represents speed of current.
If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.
Since paddling downstream took 2 hours so distance covered 2*(p + c)
which is equal to 20 miles.
2*(p + c) =20.
p + c = 10. -----i
Paddling upstream took 4 hours so distance covered 4*(p-c).
which is equal to 16 miles.
4*(p-c) = 16.
p - c = 4. -------ii
adding both equation c will be cancelled. 2*p=14 p =7.
put value of p in equation i.
7 + c = 10 ,c = 3.
So the speed of current and average speed of paddling is 3 and 7 respectively.
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A track and field team was calculating their long jump scores. The long jump teamates add up their scores to determine the best team. The current winning team has a combined score of 25.6 m. Alaina's teamates jumped the following jumps: 5.46m,4.84, 4.92 and 5.98m. What score would Alaina have to get to tie the Winning teams score? Show your work.
The score that Alaina will have to get to tie the Winning teams score is 4.4.
How to calculate the score?Given that the long jump teamates add up their scores to determine the best team. The current winning team has a combined score of 25.6 m.
Also, Alaina's teamates jumped the following jumps: 5.46m,4.84, 4.92 and 5.98m.
Therefore, Alaina's score to beat the other team will be:
= 25.6 - (5.46m + 4.84 + 4.92 + 5.98m)
= 25.6 - 21.2
= 4.4
Therefore, she must get 4.4 to tie.
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subtract $a-4$ from $4a 16$ and simplify your answer. the variable $a$ should appear only once in your answer.
The answer is (3a + 20) and also here variable ' a ' appears only once.
A linear expression is an algebraic expression in which each term is a constant or a variable raised to the first power. To put it another way, none of the exponents can be greater than 1.
[tex]x^2[/tex] is a variable raised to the second power, whereas x is a variable raised to the first power.
A linear expression is 2x - y + 3.
A constant is represented by the number, example 5.
Given,
expression (a - 4) and (4a + 16)
subtracting (a - 4) from (4a + 16), results in
= (4a + 16) - (a - 4)
= 4a + 16 - a + 4
=3a+20
Thus, the answer is (3a + 20), and variable 'a' appears only once.
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the graph shows a proportional relationship which equation maches the graph A. y=6x B. y= 1/2x C. y= 2x D. y=x
Answer:
A. y=6x
Step-by-step explanation:
A. y=6x that's all I know
Answer: A. y=6x
Step-by-step explanation:
Keilantra runs a farm stand that sells strawberries and blueberries. Each pound of
strawberries sells for $2.25 and each pound of blueberries sells for $4. Keilantra
made $204.50 from selling a total of 73 pounds of strawberries and blueberries.
Determine the number of pounds of strawberries sold and the number of pounds of
blueberries sold.
The number of pounds of strawberries sold and the number of pounds of blueberries sold are 50 and 23 respectively.
How to number of pound strawberries and blueberries are sold?As in the question Keilantra runs a farm stand that sells strawberries and blueberries. Each pound of strawberries sells for $2.25 and each pound of blueberries sells for $4. Keilantra made $204.50 from selling a total of 73 pounds of strawberries and blueberries.
According to question:Let x be a number of strawberries and y is that of blueberries.
2.25x + 4y = 204.5-----------------------(1)
And
x + y = 73--------------------------------------(2)
On solving equation (1) and (2), we get,
x = 50 and y = 23
So, there are 50 pound strawberries and 23 pound blueberries are sold.
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How to show you work on 48 inches to Convert it to feet?
Answer:
Step-by-step explanation
How many feet in a centimeter. One centimeter is equal to 0.0328084 feet: 1cm = 1cm / 30.48cm/ft = 0.0328084ft.
How many centimeters in a foot. One foot is equal to 30.48 centimeters: 1ft = 30.48×1ft = 30.48cm.
How to convert 10cm to feet. Divide 10 centimeters by 30.48 to get feet:
Answer: 4 feet
Step-by-step explanation: 12 inches = 1 foot
48in/12 = 4
Consider the exponential function f(x) = one-fifth(15x). What is the value of the growth factor of the function?one-fifthone-third515.
The value of the growth factor of the function is found as 15.
Explain the term exponential function?The formula for an exponential function is f (x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be greater than 0.A exponential function is one where the exponent contains the input, x.
Typically, an exponential function's equation looks like this:
y = abˣ
where,
The initial value, or a, is a number.The growth factor is an integer with the value b.In this issue
There are;
f(x) = 1/5.(15ˣ)
where,
1/5 -------> is the starting point.
15 --------> the growth factor.
Thus, the value of the growth factor of the function is found as 15.
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Answer:
D) 15 is the answer
Step-by-step explanation:
The number of miles a motorcycle, x, will travel on one gallon of gasoline is modeled by a normal distribution with mean 44 and standard deviation 5. With one gallon of gasoline in the motorcycle, find the probability that mike can travel more than 50 miles without refueling. Round your answer to four decimal places.
The probability of bike can travel more than 50 miles without refueling is 0.1151, according to the question.
What do you mean by probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
According to data in the given question,
We have the given information:
Mean = 44
deviation = 5
Let X be the random variable that represents the population's average number of motorcycle kilometers; in this instance, we know the distribution for X is provided by:
X ~ N(44.5)
Where μ=44 and σ=5,
We are interested on this probability,
P(X>50)
We can also apply the z score formula from:
z=x-μ/σ
Using this formula, we obtained:
P(X>50) = P(X-μ/σ > 50-μ/σ) = P(Z > 50-44/5) = P(z > 1.2)
Using the normal standard distribution and the complement rule, we can determine this probability, giving us:
P (z > 1.2) = 1 - P(z > 1.2) = 1 - 0.8849 = 0.1151
Therefore, the probability is 0.1151.
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