Answer:
72 inches
Step-by-step explanation:
if she is making a cake for 18 people and each person is eating 2 slices then she will need 36 pieces of cake but each piece is 2 inches long so that must mean that the cake has to be 72 inches
Priya was busy studying this week and ran 7 fewer miles than last week. She ran 3 times as far as Elena ran this week. Elena only had time to run 4 miles this week. How many miles did Priya run last week?
Answer:Priya ran 19 miles last week
Step-by-step explanation:
4 x 3 = 12
12 + 7 = 19
Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimeters and an unknown population mean. A random sample of 15 saplings is taken and gives a sample mean of 308 millimeters. Find the confidence interval for the population mean with a 99%z0.10 z0.05 z0.025 z0.01 z0.0051.282 1.645 1.960 2.326 2.576
Answer:
[tex]296.693\leq x\leq 319.307[/tex]
Step-by-step explanation:
The confidence interval for the population mean x can be calculated as:
[tex]x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }[/tex]
Where x' is the sample mean, s is the population standard deviation, n is the sample size and [tex]z_{\alpha /2}[/tex] is the z-score that let a proportion of [tex]\alpha /2[/tex] on the right tail.
[tex]\alpha[/tex] is calculated as: 100%-99%=1%
So, [tex]z_{\alpha/2}=z_{0.005}=2.576[/tex]
Finally, replacing the values of x' by 308, s by 17, n by 15 and [tex]z_{\alpha /2}[/tex] by 2.576, we get that the confidence interval is:
[tex]308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307[/tex]
Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. Which statements are correct? Check all that apply. Fredrick’s data set contains an outlier. The median value is 12 home runs. The mean value is about 12.6 home runs. The median describes Fredrick’s data more accurately than the mean. The mean value stays the same when the outlier is not included in the data set.
Answer:
(a) Yes, Fredrick’s data set contains an outlier.
(b) No, the median value is not 12 home runs.
(c) Yes, the mean value is about 12.6 home runs.
(d) Yes, the median describes Fredrick’s data more accurately than the mean.
(e) No, the mean value doesn't stay the same when the outlier is not included in the data set.
Step-by-step explanation:
We are given that Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play.
Firstly, arranging our data set in ascending order we get;
1, 12, 12, 12, 13, 13, 14, 15, 16, 18.
(a) The statement that Fredrick’s data set contains an outlier is true because in our data set there is one value that stands out from the rest of the data, which is 1.
Hence, the outlier value in the data set is 1.
(b) For calculating median, we have to first observe that the number of observations (n) in the data set is even or odd, i.e;
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2})^{th} \text{ obs.}[/tex]
If n is odd, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations in Fredrick's data set is even, i.e. n = 10.
SO, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{10}{2})^{th} \text{ obs.}+(\frac{10}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(5)^{th} \text{ obs.}+(6)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{13+13 }{2}[/tex] = 13 home runs
So, the statement that the median value is 12 home runs is not correct.
(c) The mean of the data set is given by;
Mean = [tex]\frac{1+ 12+ 12+ 12+ 13+ 13+14+ 15+ 16+ 18}{10}[/tex]
= [tex]\frac{126}{10}[/tex] = 12.6 home runs
So, the statement that the mean value is about 12.6 home runs is correct.
(d) The statement that the median describes Fredrick’s data more accurately than the mean is correct because even if the outlier is removed from the data set, the median value will remain unchanged but the mean value gets changed.
(e) After removing the outlier, the data set is;
12, 12, 12, 13, 13, 14, 15, 16, 18.
Now, the mean of the data = [tex]\frac{12+12+ 12+ 13+ 13+ 14+ 15+ 16+ 18}{9}[/tex]
= [tex]\frac{125}{9}[/tex] = 13.89
So, the statement that the mean value stays the same when the outlier is not included in the data set is incorrect.
Answer:
Fredrick’s data set contains an outlier.
The mean value is about 12.6 home runs.
The median describes Fredrick’s data more accurately than the mean.
Step-by-step explanation:
Reed made a lasagna for dinner. That night, he ate1/4
% of the lasagna. His brother and sister ate 2/3 of
the lasagna. How much of the lasagna did they eat
in all?
Answer: 11/12
Step-by-step explanation:
First find the LCM of 4 and 3(12). Then make the denominator of both fractions 12(3/12 and 8/12). Then add the fractions to get that they ate 11/2 of the lasagna.
Hope it helps <3
What does 0 = 0 indicate about the solutions of the system?
Answer:
it indicates that it is infinitely many solutions
If two events are mutually exclusive, why is ? Choose the correct answer below. A. because A and B each have the same probability. B. because A and B cannot occur at the same time. C. because A and B are independent. D. because A and B are complements of each other.
Answer:
B. because A and B cannot occur at the same time.
Step-by-step explanation:
If two events are mutually exclusive, why is ? Choose the correct answer below.
A. because A and B each have the same probability.
B. because A and B cannot occur at the same time.
C. because A and B are independent.
D. because A and B are complements of each other.
What is the solution for xin the equation?
4x-3 + 5 = 2x + 7 - 8x
Answer:
x = 1/2
Step-by-step explanation:
4x-3 + 5 = 2x + 7 - 8x
Combine like terms
4x +2 = 7-6x
Add 6x to each side
4x+2+6x = 7-6x+6x
10x+2 = 7
Subtract 2 from each side
10x+2-2 = 7-2
10x = 5
Divide by 10
10x/10 = 5/10
x = 1/2
Answer:
4x-3+5=2x+7-8x
4x-3+5=7-6x
4x+2=7-6x
4x+6x=7-2
10x=5
x=1/2
Manueala scored -4 \dfrac12−4 2 1 minus, 4, start fraction, 1, divided by, 2, end fraction points relative to her season average against the China Dragons. She scored 1 \dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction points relative to her season average against the Canada Moose. Drag the white cards onto the gray rectangle to write an inequality that correctly compares Manueala's relative numbers of points. Which one of the following descriptions is correct? Choose 1 answer: Choose 1 answer: (Choice A) A Manueala scored more points against the China Dragons than against the Canada Moose. (Choice B) B Manueala scored more points against the Canada Moose than against the China Dragons.
Answer:
1 1/2 > - 4 1/2 and Manuela scored more points against the Canada Moose than against the China Dragons.
Please answer this correctly
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
the ways of choosing 2 cards out of 4, is calculator by
[tex] \binom{4}{2} = 6[/tex]
so, 6 ways to select 2 cards.
but in only one way we can have 2 even cards. thus, the answer is
[tex] \frac{1}{6} [/tex]
Juan y maria mezclan cafe de colombia, cafe de brazil, cafe de guinea y cafe de venezuela en paquetes de un kilo. Observa la fraccion de kilo que utilizan de cada tipo de cafe y calcula la fraccion de kilo que representa el cafe de colombia
Answer:
Step-by-step explanation:
Ya que mezclan café colombiano, brasileño, guineano y venezolano en un paquete de un kilo. Igualmente deben agregar los cafés juntos.
Para encontrar la cantidad igual para cada café en 1 kilo, divida 1 kilo y los 4 cafés. Entonces la cantidad sería 1/4 (o 0.25) de café por kilo. La respuesta significa que cada uno de los cuatro cafés pesa 1/4 kilo.
Como cada café representa 1/4 kilo, el café colombiano representa 1/4 kilo.
Si necesita ayuda adicional, comente a continuación.
Select the correct answer.
Which graph represents a proportional relationship
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Hope this helps...
cuanto es log3 27 + log3 1 =
Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x { x ( t ) = 5 √ t y ( t ) = 7 t + 4
Answer:
y(x) = (7/25)x^2 + 4
Step-by-step explanation:
Given:
x = 5*sqrt(t) .............(1)
y = 7*t+4 ..................(2)
solution:
square (1) on both sides
x^2 = 25t
solve for t
t = x^2 / 25 .........(3)
substitute (3) in (2)
y = 7*(x^2/25) +4
y= (7/25)x^2 + 4
What is the 20th digit in the decimal expansion for the sum of 2/9 and 1/7
Answer:
The 20th digit is 6.
Step-by-step explanation:
1. Add 2/9 and 1/7.
2/9 + 1/7 = 23/63
2. Convert to a decimal.
23 ÷ 63 = 0.365079...
If you continue to divide, you will notice that the number repeat. So, the decimal would be 0.365079365079...
3. Find the 20th digit.
0.365079365079365079365079
Answer:
6
Step-by-step explanation:
Aops question
We have $\frac29 + \frac17 = \frac{14}{63} + \frac{9}{63} = \frac{23}{63}$. Expressing $\frac{23}{63}$ as a decimal using long division, we find $\frac{23}{63}=0.\overline{365079}$. Therefore, every 6th digit after the decimal point is a 9. So, the 18th digit is a 9; the 20th digit is 2 decimal places later, so it is a $\boxed{6}$.
It's in Latex
based off the data of ages of the last six US presidents( 69, 64, 46, 54, 47, and 70) What percentage of presidents ages fall within one standard deviation of the mean? (Round to one decimal place
Answer:
[tex]\bar X=\frac{\sum_{i=1}^n X_i}{n}[/tex]
[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]
And replacing we got:
[tex] \bar X= 58.33[/tex]
[tex]s= 10.78[/tex]
Then we can fin the limits for one deviation within the mean like this:
[tex]\mu -\sigma = 58.33-10.78= 47.55[/tex]
[tex]\mu -\sigma = 58.33+10.78= 69.11[/tex]
And then we see that the number of values between the limits are: 69, 64, 54,47 who represent 4 and then the percentage would be:
[tex]\% =\frac{4}{6}*100 =66.7\%[/tex]
Step-by-step explanation:
First we need ot calculate the mean and deviation with the following formulas:
[tex]\bar X=\frac{\sum_{i=1}^n X_i}{n}[/tex]
[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]
And replacing we got:
[tex] \bar X= 58.33[/tex]
[tex]s= 10.78[/tex]
Then we can fin the limits for one deviation within the mean like this:
[tex]\mu -\sigma = 58.33-10.78= 47.55[/tex]
[tex]\mu -\sigma = 58.33+10.78= 69.11[/tex]
And then we see that the number of values between the limits are: 69, 64, 54,47 who represent 4 and then the percentage would be:
[tex]\% =\frac{4}{6}*100 =66.7\%[/tex]
Which of the following is the
graph of
(x - 3)2 + (y - 1)2 = 9 ?
Answer:
Answer is A
Step-by-step explanation:
The equation (x - 3)² + (y - 1)² = 9, is represented by the second graph as its center is at point (3, 1) and its radius is 3 units, both similar to the equation. Thus, option B is the right choice.
What does the equation of a circle represent?The general equation of a circle is of the form (x - h)² + (y - k)² = r², where (h, k) is the point where the center of the given circle lies, and r is the radius of this given circle.
How to solve the question?In the question, we are asked to find the graph from the given options which represents the equation (x - 3)² + (y - 1)² = 9.
Comparing the given equation, (x - 3)² + (y - 1)² = 9, to the general equation, (x - h)² + (y - k)² = r², we can say that h = 3, k = 1, and r = 3.
Thus the center of the given circle lies at the point (3, 1) and its radius is 3 units.
Now we check the options to find the matching circle:
Option A: The center is at the point (3, -1), which is different from (3, 1) of the equation (x - 3)² + (y - 1)² = 9. Thus, this is not the right choice.Option B: The center is at the point (3, 1), and the radius is 3 units, which is similar to the equation (x - 3)² + (y - 1)² = 9. Thus, this is the right choice.Option C: The center is at the point (-3, 1), which is different from (3, 1) of the equation (x - 3)² + (y - 1)² = 9. Thus, this is not the right choice.Therefore, the equation (x - 3)² + (y - 1)² = 9, is represented by the second graph as its center is at point (3, 1) and its radius is 3 units, both similar to the equation. Thus, option B is the right choice.
Learn more about circles at
https://brainly.com/question/1559324
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What is the product of all positive factors of 6?
Answer:
36
Step-by-step explanation:
All the factors of 6 are 1, 2, 3, and 6.
The factors are positive.
Find the product.
1 × 2 × 3 × 6
6 × 6 = 36
Answer: 36
Step-by-step explanation:
The positive factors of 6 are 1,2,3 and 6 .
Now to find their product multiply them all together.
1 * 2 * 3 * 6 = 36
In 1968, vehicle emission standards allowed
6.3 hydrocarbons released per mile driven. By 1980, the
standards allowed only 0.41 hydrocarbons per mile driven.
What was the rate of change from 1968 to 1980?
Answer:
Step-by-step explanation:
In 1968, vehicle emission standards allowed 6.3 hydrocarbons released per mile driven and by 1980, the
standards allowed only 0.41 hydrocarbons per mile driven. This means that the change in the amount of hydrocarbons released per mile driven as allowed by the vehicle emission standards between 1968 and 1980 is
6.3 - 0.41 = 5.89
Therefore, the percentage rate of change in the amount of hydrocarbons released per mile driven as allowed by the vehicle emission standards between 1968 and 1980 would be
5.89/6.3 × 100 = 93.49%
I need help with this question.
Answer:
b. 14
Step by step explanation:
Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for Pi and round to the nearest whole number.
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▹ Answer
Kylie's circle is approximately 22 cm larger than the area of Paige's circle.
▹ Step-by-Step Explanation
Kylie's Circle - 8 cm diameter → 4 cm radius
Paige's Circle - 3 cm radius
Kylie's Circle
A= πr²
A = 3.14(4)²
A = 50.24 ≈ 50 cm²
Paige's Circle
A = πr²
A = 3.14(3)²
A = 28.26 ≈ 28 cm²
50 - 28 = 22 cm
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Hello!
Answer:[tex]\boxed{ \bf The~area~of~Kylie's~circle~is~approximately~22~cm^2~larger~than~Paige's.}[/tex]
__________________________________________________Explanation:We'll start by calculating the areas of Kylie and Paige's circles.
Kylie's Circle:
A = πr²
Since we need the radius for the formula, we must divide the diameter in half to get it.
r = d ÷ 2
r = 8 ÷ 2
r = 4
Now, let's substitute our values into the formula.
A = 3.14 × 4²
A = 3.14 × 16
A = 50.24 cm²
Paige's Circle:
A = πr²
A = 3.14 × 3²
A = 3.14 × 9
A = 28.26 cm²
We can round both of these areas to the nearest whole number. Then, we must subtract Paige's circle area by Kylie's.
50 - 28 = 22
Work out the circumference of this circle Give your answer in terms of pie and state in units R=14cm Answer= Units=
Answer:
28π cm²
Step-by-step explanation:
Circumference Formula: C = 2πr
Simply plug in r into the formula:
C = 2π(14)
C = 28π or 87.9646
Answer:
28π cm
Step-by-step explanation:
The circumference of a circle has the formula 2πr.
2 × π × r
Where r is the radius.
2 × π × 14
28 × π
= 28π
The circumference is 28π and the unit is centimeters.
who want brainliest answer these questions
Answer: top left: balanced top right: left side is down
bottom left: right side is down bottom right: left side is down
Step-by-step explanation:
top left top right
left side right side left side right side
2(40) 20(4) 2(4) 3(2)
80 = 80 8 ≠ 6
Balanced down up
bottom left bottom right
left side right side left side right side
2(.75) 4(.5) .8(450) 7.3(.2)
1.5 ≠ 2.0 360 ≠ 1.46
up down down up
The demand for Carolina Industries’ product varies greatly from month to month. Based on the past two years of data, the following probability distribution shows the company’s monthly demand: Unit Demand Probability 300 0.20 400 0.30 500 0.35 600 0.15 c. What are the variance and standard deviation for the number of units demanded?
Answer:
The variance is "9475" and standard deviation is "97.3396112".
Step-by-step explanation:
Let's all make the assumption that X seems to be the discrete uniformly distributed random indicating demand for units, and that f(x) has been the corresponding probability.
The expected value of the monthly demand will be:
⇒ [tex]E(X)=\sum_{x} x\times f(x)[/tex]
⇒ [tex]=00\times 0.20+400\times 0.30+500\times 0.35+600\times 0.15[/tex]
⇒ [tex]=445 \ units[/tex]
The variance will be:
⇒ [tex]Var(X)=E(X^2)-{E(X)}^2[/tex]
⇒ [tex]E(X^2)=\sum_{x} x^2\times f(x)[/tex]
[tex]=(300)^2\times 0.20+(400)^2\times 0.30+(500)^2\times 0.35+(600)^2\times 0.15[/tex]
[tex]=207500[/tex]
⇒ [tex]Var(X)=207500 - (445)^2[/tex]
[tex]=9475[/tex]
The standard deviation will be:
⇒ [tex]X=\sqrt{var(X)}[/tex]
[tex]=97.3396112[/tex]
replace each star with a digit to make the problem true.Is there only one answer to each problem? ****-***=2
Answer: We have two solutions:
1000 - 998 = 2
1001 - 999 = 2
Step-by-step explanation:
So we have the problem:
****-*** = 2
where each star is a different digit, so in this case, we have a 4 digit number minus a 3 digit number, and the difference is 2.
we know that if we have a number like 99*, we can add a number between 1 and 9 and we will have a 4-digit as a result:
So we could write this as:
1000 - 998 = 2
now, if we add one to each number, the difference will be the same, and the number of digits in each number will remain equal:
1000 - 998 + 1 - 1 = 2
(1000 + 1) - (998 + 1) = 2
1001 - 999 = 2
now, there is a trivial case where we can find other solutions where the digits can be zero, like:
0004 - 0002 = 2
But this is trivial, so we can ignore this case.
Then we have two different solutions.
Find an equation for the line perpendicular to =−3/2x+5 with y-intercept(0, -15).
Answer:
y = 2x/3 - 15
Step-by-step explanation:
Step 1: Find slope of perpendicular line
Take the negative reciprocal of the other line
m = 2x/3
Step 2: Rewrite equation (You already found b because it gave you y-int)
y = 2x/3 - 15
A sample of 80 Valencia oranges showed a mean weight of 5.5 ounces with a standard deviation of 0.2 ounces. Obtain a 95% confidence interval for the weight of Valencia oranges. [5.495, 5.505 ] [0.195, 0.205] [ 5.456,5.544] [0.156, 0.244 )
Answer:
[ 5.456, 5.544]
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 5.5 ounces
Standard deviation r = 0.2 ounces
Number of samples n = 80
Confidence interval = 95%
z value (at 95% confidence) = 1.96
Substituting the values we have;
5.5+/-1.96(0.2/√80)
5.5+/-1.96(0.022360679774)
5.5+/-0.043826932358
5.5+/-0.044
= ( 5.456, 5.544) ounces
Therefore the 95% confidence interval (a,b) = ( 5.456, 5.544) ounces
Given an objective function value of 150 and a shadow price for resource 1 of 5, if 10 more units of resource 1 are added (assuming the allowable increase is greater than 10), what is the impact on the objective function value?
Answer:
The impact on the objective function is that it is increased by 50.
Step-by-step explanation:
In this case we have that the value of the objective function is 150, and they tell us that 10 more units of resource one are added, but they tell us that the shadow price ranges from 1 to 5, therefore:
10 * 5 = 50
Which means that the impact on the objective function is that it is increased by 50.
Write the recursive sequence for: 64, 16, 4, 1, ...
Answer:
Use the formula
a
n
=
a
1
r
n
−
1
to identify the geometric sequence.
Step-by-step explanation:
a
n
=
64
4
n
−
1 hope this helps you :)
Answer: The answer is in the steps.
Step-by-step explanation:
f(1)= 64
f(n)=1/4(n-1) n in this case is the nth term.
Solve: -1/2+ c =31/4 c=8 c=7 c=33/4 c=29/4
Answer:
c = 29/4Step-by-step explanation:
[tex] - \frac{1}{2} + c = \frac{31 }{4} \\ \\ c = \frac{31}{4} + \frac{1}{2} = \frac{31 - 2}{4} \\ \\ c = \frac{29}{4} [/tex]
Hope this helps you
Tommy is thinking of a number between 800 and 900 He divides it by 4 and there is a remainder of 1 He divides it by 5 and there is a remainder of 1 He divides it by 6 and there is a remainder of 1 He divides it by 7 and there is a remainder of 1
What is Tommy's number?
Answer:
841
Step-by-step explanation:
If the number is divided by 4 and the remainder is 1, the last digit must be 1, 3, 5, 7 or 9.
If the number is divided by 5 and the remainder is 1, the last digit must be 6 or 1.
So we already know the last digit must be 1.
The numbers between 800 and 900, with last digit 1, that divided by 6 have a remainder of 1 are:
811, 841, 871
The numbers between 800 and 900, with last digit 1, that divided by 7 have a remainder of 1 is just 841
So Tommy's number is 841.
Tommy's number is 841.
In this question we must determine first the least common number of 4, 5, 6 and 7, which is the product of these four numbers, that is to say:
[tex]x = 4\times 5\times 6 \times 7[/tex]
[tex]x = 840[/tex]
This is the least number that is divisible both for 4, 5, 6 and 7. Now we add this number by 1 to determine what number Tommy thought:
[tex]y = x + 1[/tex]
[tex]y = 841[/tex]
Tommy's number is 841.
To learn more on divisibility, we kindly invite to check the following verified question: https://brainly.com/question/369266