The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.

A graph titled Wrist Circumference versus Height has wrist circumference (centimeters) on the x-axis and height (centimeters) on the y-axis. Points are at (13.8, 151), (14.2, 151), (15.2, 156), (15.6, 159), (16, 162) and (16, 165).

Is the height of these students a function of their wrist circumference?

Answer:

25 units

Step-by-step explanation:

use the distance formula to get the square root of 24² + 7²

this will give you the square root of 625, which is 25

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this question, firstly we calculating the [tex]\bar{x} \ \ and \ \ s[/tex]

[tex]\bar{x}=11.89 \\\\s = 2.52\\\\n = 9\\\\\alpha=0.05\\[/tex]

[tex]H_0 : u \leq 10\\\\ H_1 : u > 10[/tex]

It is an upper test  and testing the statistics:

[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}\\\\t=\frac{11.89-10 }{\frac{2.52}{\sqrt{9}}}\\\\t=2.25\\\\[/tex]

So, the test statistics [tex]t=2.25[/tex]

[tex]\alpha=0.05 \\\\ d.f = n-1\\\\[/tex]

     [tex]=9-1\\\\=8[/tex]

critical value =2.306 ( using t-table ) [tex]critical\ value >\ test\ statistics , \ Fail\ to\ Reject\ H_0[/tex]

Decision: We should not reject the null hypothesis.

Answer:

2 x 2

Explanation:

The prime numbers that multiply to 4 are 2 and 2.

Answer:

The type of sequence that is show is an arithmetic sequence

Step-by-step explanation:

Answer:

p=.1666

11 or 12

2 out of 12

2/12

1/6

p=.1666

Step-by-step explanation:

Answer:

[tex]y = {(x + 8)}^{3} - 9[/tex]

the answer is 4,13 of the perimeter

Answer:

Step-by-step explanation:

without tax and insurance deduction- 3,250 (monthly)

with tax and insurance deduction-26,669.04/12=2,222.42 (monthly)

Answer:

a = 5x

Step-by-step explanation:

The value of an in terms of x will be a = 5x.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expressions are  25x² – 35x – 18 is written as a² – 7a – 18.

The value of an in terms of x will be calculated as:-

25x² – 35x – 18

a² – 7a – 18.

Compare the first term of the two equations,

25x² = a²

a = √25x²

a = 5x

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Answer: A

Step-by-step explanation:

Area of a triangle is base times height

We have a base made by point m and n with a length of 6

now the third point has to form a height which when put with the base, gets you 18

area of triangle is bh/2

so lets set height as h, 6x/2 = 18 6x = 36 x = 6

This means the point has to be 6 apart either left or right. Only point that matches this is a.

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

oo (infinite)

Step-by-step explanation:

the slope = (-2-7)/(-11+11) = -9/0 = oo

(infinite)

Answer:

16 sweaters

Step-by-step explanation:

4=10

4=10

4=10

4=10

4x4=16

Answer: The answer is D) $3.35

Step-by-step explanation:

Well if we want to see the price of beef and chicken the same we should use the same variable for them making the equations

[tex]y=2.35+.25x\\y=1.75+.4x[/tex]

now let's subtract the equations for elimination

[tex]y=2.35+.25x\\-y=1.75+.4x\\\\=\\0=.6+-.15x[/tex]

now let's solve for x

[tex]0=.6-.15x\\0-.6=.6-.15x-.6\\-.6=-.15x\\\frac{-.6}{-15} =\frac{-.15x}{-.15} \\4=x[/tex]

now let's sub x into the original equations

[tex]y=2.35+.25(4)\\y=2.35+1\\y=3.35\\\\y=1.75+.4(4)\\y=1.75+1.6\\y=3.35[/tex]

Answer:

Step-by-step explanation:

a) The point estimate of the population variance is 900 (rooms squared).

b) The 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).

c) The 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.

a. The point estimate of the population variance can be calculated using the formula:

Point estimate of population variance = Sample standard deviation squared

= (30 rooms)²

= 900 rooms²

Therefore, the point estimate of the population variance is 900 (rooms squared).

b. To calculate the 90% confidence interval estimate of the population variance, we need to use the Chi-Square distribution.

The formula for the confidence interval of the population variance is:

Lower bound: (n-1)*sample variance / Chi-Square upper critical value

Upper bound: (n-1)*sample variance / Chi-Square lower critical value

Since we are interested in a 90% confidence interval, the Chi-Square critical values for the upper and lower tails with (n-1) degrees of freedom are 8.907 and 32.852, respectively.

Plugging in the values, we have:

Lower bound: (20-1)*900 / 32.852

≈ 486

Upper bound: (20-1)*900 / 8.907

≈ 1706

Therefore, the 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).

c. To calculate the 90% confidence interval estimate of the population standard deviation, we take the square root of the lower and upper bounds of the confidence interval for the variance.

Square root of the lower bound: √486

≈ 22.0

Square root of the upper bound: √1706

≈ 41.3

Therefore, the 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.

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The correct question is as follows:

Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms.

a. What is the point estimate of the population variance (to nearest whole number)?

b. Provide a 90% confidence interval estimate of the population variance (to nearest whole number).

c. Provide a 90% confidence interval estimate of the population standard deviation (to 1 decimal).

Answer: so a can be -2 and b can be 6, note that there are many combinations since u can factor all types of stuff out including fractions

Step-by-step explanation:

a(bx+3) basically is just factoring out a random common factor between -12x and -18

so we can factor out a -2 to get -2(6x+9)

Answer:

x(x2-25)=o

x=0;x=5 and -5

Answer:

[tex] {x}^{3} - 25x \\ = x( {x}^{2} - {5}^{2} ) \\ = x(x - 5)(x + 5)[/tex]

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

Time, t = 5 years

Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

[tex]A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45[/tex]

So, the investment after 5 years is $ 662.45.

Answer:

(a-14) (a-3)

Step-by-step explanation:

Answer:

(a - 14) (a - 3)

Step-by-step explanation:

a² - 3a - 14 a + 42

a(a - 3) - 14 ( a - 3)

(a - 14) (a - 3)

Answer:

X=15

Step-by-step explanation:

line segment with length 18 is tangent and other one is secant so

[tex] {18}^{2} = 12(12 + x) \\ 324 = 144 + 12x \\ 324 - 144 = 12x \\ 180 = 12x \\ x = 180 \div 12 \\ x = 15[/tex]

Answer:

below

Step-by-step explanation:

that is the procedure above

This question is incomplete, the complete question is;

Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service.

A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40.

Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. What is the value of the test statistic? Round your all answers to two decimal places.

Answer:

value of the test statistic is 4.13

Step-by-step explanation:

Given the data in the question;

fewer than 500 passengers                           more than 500 passengers

n₁ = 37                                                               n₂ = 44

x'₁ = 85.36                                                         x'₂ = 81.40

s₁ = 4.55                                                            s₂ = 3.97

Now, to get the test statistics, we use the following formula;

z = (x'₁ - x'₂) / √( [tex]\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}[/tex] )

we substitute

z = ( 85.36 - 81.40 ) / √( [tex]\frac{(4.55)^2}{37} + \frac{(3.97)^2}{44}[/tex] )

z = 3.96 / √( [tex]\frac{20.7025}{37} + \frac{15.7609}{44}[/tex] )

z = 3.96 / √( 0.5595 + 0.3582 )

z = 3.96 / √0.9177

z = 3.96 / 0.957966596

z = 4.1337 ≈ 4.13

Therefore, value of the test statistic is 4.13

Answer:

10 miles per hour = 0.1862 meter per second

Step-by-step explanation:

Given

Speed in miles per hour = 10 miles per hour

As we know

1 mile = 1609.34 meters

and 1 hour  = 24*60 *60 seconds

Thus, 10 miles per hour in meter per second would be

10 * 1609.34/24*60 *60

= 0.1862 meter per second

Answer: the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

Step-by-step explanation:

Formula for margin of error : [tex]E=\dfrac{z^*\times (Population\ standard\ deviation)}{\sqrt{Sample\ size}}[/tex]

, where z* = Critical z-value.

Given: population standard deviation = 11.5 ounces

Sample size = 20

Z value for 90% confidence level = 1.645

margin of error (E) = [tex]\dfrac{1.645\times11.5}{\sqrt{20}}[/tex]

[tex]\approx4.23[/tex]

Hence, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

Answer:

Step-by-step explanation:

3x+y+z= 4

3x+ y = 4 - z

y = 4-z-3x

We then make parallel

y-2 = 4−z−3x

y-2 = 4-2 -z-3x

y-2 = 2-z-3x

y = -z-3x+2

Answer:

Gift card

Step-by-step explanation:

Given

Function 1 and 2

Required

Which has a negative slope

For the first function (Gift card), we have the following observation.

As x increases from 0, 1, 2 and then 3

The values of y keep reducing

This means that the gift card function has a negative slope

For the second function (calculator rental)

We have:

[tex]c = 10 + 5m[/tex]

The slope of function [tex]y =mx + b[/tex] is m

So, by comparison

[tex]m=5[/tex]

5 is positive,

This means that the gift card function has a negative slope

Answer:

All triangles add to 180 degrees.  

180 = 90 + 40 + angle ABX

angle ABX = 180 - 90 - 40

Angle y = 50

Step-by-step explanation:

Answer:

correct

Step-by-step explanation: