George is building a rabbit run in his backyard he makes the length 2/7km and the width 1/5km draw a sketch of his rabbit run and then find the area

Using the t-distribution, it is found that:

a)

The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]

The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]

b) t = -1.47

c) 0.0878.

d) Do not reject the null hypothesis.

e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

Item a:

At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:

[tex]H_0: \mu \geq 60[/tex]

At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:

[tex]H_1: \mu < 60[/tex]

Item b:

We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:

[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]

[tex]t = -1.47[/tex]

Item c:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.

Item d:

The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.

Item e:

Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

A similar problem is given at brainly.com/question/24826023

Answer:

-7/4

Step-by-step explanation:

The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.

Answer:

— 7/4

Step-by-step explanation:

1) Find the slope of line A:

m=∆y/∆x

=(4—0)/(0+7)

= 4/7

2) When a line is perpendicular to another we have: mm' = — 1

(m' stands for slope of second line)

In this case m' is: m' = — 7/4

Answer:

  P = -16(x -28)² +1024

Step-by-step explanation:

The equation can be written in vertex form as ...

  P = -a(x -h)² +k

where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.

  -4160 = -a(10 -28)² +1024

  -5184 = -324a . . . . simplilfy

  a = 5184/324 = 16 . . . . divide by the coefficient of 'a'

A suitable quadratic relation is ...

  P = -16(x -28)² +1024

Answer:

[tex]r \geqslant 10.4[/tex]

The maximum rate at which the diver will descend will be 7 feet per hour.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Initial depth of scuba diver = 12.8 feet

Let's say the rate of a scuba diver is "r".

Initial depth + depth cover with constant rate ≤ final depth

12.8 + (312/60)r ≤ 49.2

r ≤ 7

Thus, the maximum rate at which a diver can descend is 7 feet per hour.

Hence"The maximum rate at which the diver will descend will be 7 feet per hour".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ2

Answer:

10

Step-by-step explanation:

8x+16+60=156

8x+76=156

8x=80

x=10

The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula

Amount = Principal + Interest

Given the following parameters

Get the interest

Get the amount;

Calculate the monthly payment:

Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

Learn more on compound amount here: https://brainly.com/question/24924853

Answer:

22[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

I hope this helps!!!

2-4 is -2 and -5 times -2 is 10 divided by 2 is 5 and 5 +3 is 8. and 8 times 3 is 24. PEMDAS

Answer:

→24

Step-by-step explanation:

Evaluate: {3+[−5(2−4)÷2]}⋅3

= {3+[-5(2-4)÷2]}.3

= {3+[-5(-2)÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10/2]}.3

= {3+[5]}.3

= {3+5}.3

= 8.3

= 8*3

= 24 Ans.

Answer:

C. I,II,III

Step-by-step explanation:

Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.

Answer:

75 m, 96 m

Step-by-step explanation:

a. Area = length x width

7050 = 94 x width

7050/94 = w

75 m is width

b. perimeter = 2L + 2W

356 = 2L + 2(82)

356 = 2L + 164

192 = 2L

96 m = L

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

Answer:

C

Step-by-step explanation:

[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]

Answer:

205+2w=195+3w

Step-by-step explanation:

:)

The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.

Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,

y = 2w + 205

y = 3w + 195

If the weight becomes the same. Then the number of weeks is given as,

3w + 195 = 2w + 205

Simplify the equation, then we have

3w + 195 = 2w + 205

3w - 2w = 205 - 195

w = 10

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

See below

Step-by-step explanation:

Dilation is 1/2

U (2, 3) U' (1, 1.5)

V (1, -2) V' (0.5, -1)

Answer:

Happy holidays to everyone!

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

-5 times √121

= -5 * 11

=-55

Rational.

Answer:

Step-by-step explanation:

Answer: Yes b/c everything gets multiplied by 2

Answer:

NO SOLUTION

Step-by-step explanation:

By the give me brainlist please

Given that:

[{1(1/5)−(2/5)⋅(−3/4)3}]÷(−9)

= [{(5+1)/5 - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3*3)/4}]÷(-9)

= [{(6/5) - (2/5) . (-9/4)}]÷(-9)

= [{(6/5) - (2/5) × (-9/4)}]÷(-9)

= [{{6/5) - {{2*(-9)}/{5*4}]}]÷(-9)

= [{(6/5) - {-9/(5*2)}}]÷(-9)

= [{(6/5) - (-9/10)}]÷(-9)

Take the LCM of 5 & 10 is 10.

= [{(6*2 + 9*1)/10}]÷(-9)

= [{(12+9)/10}]÷(-9)

= [{-(21/10)}]÷(-9)

= -(21/10) ÷ (-9)/1

= -(21/10) × (1/9)

= {(-21*1)/(10*9)]

= {-21/90)

= {(-21÷3)/(90÷3)}

= -9/30

= {(-9÷3)/(30÷3)}

= (-3/10) = -3/10 Ans.

Answer:A

Step-by-step explanation: make me brainlist if correct

Answer:

3/2^3=3/8 and (-1/4)^2 = 1/16

Step-by-step explanation:

1. You know what 2^3 is, right? That's 2*2*2. 2*2 is 4, and then 4*2 is 8. So that is 3/8.

2. (-1/4)^2 is (-1/4)*(-1/4), right? So that is (-1*-1)/(4*4). Two negatives make a positive, so -1*-1=1. 4*4 is 16, so we have 1/16.

The probability that the balls drawn are red, green, and black in that order will be 3/78.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates 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.

The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:

= 4 + 7 + 3

= 14 balls.

The probability that the balls drawn are red, green, and black in that order will be:

= P(red) × P(green) × P(black)

= 7/14 × 3/13 × 4/12

= 1/2 × 3/13 × 1/3

= 3/78

The probability is 3/78.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

If I am correct, I believe that it is 60

Answer:

The equation

Step-by-step explanation:

I need the equation so I can answer your question.