Ask question

Ask question

All categories

2 years ago

7

It's a sunny afternoon in Chicago, and the Lincoln Park boathouse currently has 115 sailboats, 120 paddleboards, and 105 kayaks

rented out.
If 15 people rented both a kayak and a paddleboard, how many people are out on the water?

S

1 answer:

dybincka [34]2 years ago

6 0

15 kdkdkdndnjdjfjfbrjrjd

You might be interested in

PLEASE HELP!!! I don't understand it

Len [333]

Answer:

A

Step-by-step explanation:

This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is

$y=a(b)^x$ , or in our case:

$A(n)=a(b)^{n-1}$ , where

a is the initial height of the ball and

b is the decimal amount the bounce decreases each time. For us:

a = 1.5 and

b = .74

Filling in,

$A(n)=1.5(.74)^{n-1}$

If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:

$A(6)=1.5(.74)^{6-1}$ which of course simplifies to

$A(6)=1.5(.74)^5$ which simplifies to

$A(6)=1.5(.22190066)$

So the height of the ball is that product.

A(6) = .33 cm

A is your answer

3 0

3 years ago

Below are three different hypothesis tests about population proportions. For each test, use StatKey and the information given to

Ilia_Sergeevich [38]

Answer:

1a) p-hat=0.38

1b) P=0.08

1c) The null hypothesis is not rejected

2a) p-hat=0.64

2b) P=0.0027

2c) The null hypothesis is rejected

3a) p-hat=0.55

3b) P=0.153

3c) The null hypothesis is not rejected

Step-by-step explanation:

(1) H0: p = 0.3 vs Ha: p ≠ 0.3. In their survey, they had a count of 38 using a sample size n=100.

1a) The p-hat is p-hat=38/100=0.38.

1b) The standard deviation is

$\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.3*0.7}{100}}=0.046$

The sample size is n=100.

The z-value is:

$z=\frac{\hat{p}-p}{\sigma}=\frac{0.38-0.3}{0.046}=\frac{0.08}{0.046}= 1.74$

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.74 is P=0.08.

1c) The null hypothesis is not rejected.

(2) H0: p = 0.7 vs Ha: p ≠ 0.7. In their survey, they had a count of 320 using a sample size n=500.

2a) The p-hat is p-hat=320/500=0.64.

2b) The standard deviation is

$\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7*0.3}{500}}=0.02$

The sample size is n=500.

The z-value is:

$z=\frac{\hat{p}-p}{\sigma}=\frac{0.64-0.7}{0.02}=\frac{-0.06}{0.02}=-3$

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=3 is P=0.0027.

2c) The null hypothesis is rejected.

(3) H0: p = 0.6 vs Ha: p < 0.6. In their survey, they had a count of 110 using a sample size n=200.

2a) The p-hat is p-hat=110/200=0.55.

2b) The standard deviation is

$\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.6*0.4}{200}}=0.035$

The sample size is n=200.

The z-value is:

$z=\frac{\hat{p}-p}{\sigma}=\frac{0.55-0.6}{0.035}=\frac{-0.05}{0.035}=-1.43$

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.43 is P=0.153.

2c) The null hypothesis is not rejected.

8 0

3 years ago

Quick I need some help! Simplify to create an equivalent expression. ( photo linked)

Sophie [7]

Answer:

B. 31r − 71 is the answer!

5 0

3 years ago

Express the area of the entire rectangle

Travka [436]

Answer: x^2 +6x +2x +36 = X^2 +8x + 36

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Can someone help me with this ? it is relative frequency tables

stellarik [79]

Answer:

Step-by-step explanation:

36/78 = 0.46153,,,, nope.. not a choice

36/123 = 0.2926.... so the last answer looks good

6 0

3 years ago