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Sunny_sXe [5.5K]

3 years ago

6

At the animal shelter, there are 4 dogs for every 3 cats. Only dogs and cats are accepted (let in) at the shelter. If there are

24 dogs currently at the shelter, how many animals are at the shelter?

1 answer:

artcher [175]3 years ago

7 0

Answer:

There are 42 animals at the shelter

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The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c

kondor19780726 [428]

Answer:

$H_0:\mu = 45$ and $H_a:\mu < 45$

$T = 34.88$

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

$\mu =45$ and $\sigma= 9.1$

This is the null hypothesis i.e.

$H_0:\mu = 45$

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

$H_a:\mu < 45$

Solving (b) and (c): The test statistic (T).

This is calculated using:

$T = \frac{\mu}{\sigma/\sqrt n}$

In this case:

$n = 50$ $\mu =45$ and $\sigma= 9.1$

So:

$T = \frac{45}{9.1/\sqrt{50}}$

$T = \frac{45}{9.1/7.07}$

$T = \frac{45}{1.29}$

$T = 34.88$

Solving (c): Accept or reject null hypothesis

$\alpha = 0.05$

First calculate the degrees of freedom (df)

$df = n - 1 = 50 - 1$

$d f = 49$

From the t distribution table,

At: $d f = 49$ , $\alpha = 0.05$ and $T = 34.88$

the t score is:

$p = 1.676$

$p > 0.05$

<em>So, the null hypothesis is not rejected</em>

7 0

2 years ago

Determine how long it will take an airplane to travel 2000 miles if it flies 200 miles per hour, 400 miles per hour, and 600 mil

AveGali [126]

I will use 'hr' to mean hour and 'hrs' to mean hours.

<u>The airplane flies:</u>

200 miles per hr

400 miles per hr

600 miles per hr

Average speed = Total distance ÷ total time

= (200 + 400 + 600)miles ÷ 3hrs = 400miles/hr

Time = Distance ÷ Average speed

= 2000miles ÷ 400miles/hr = 5hrs

7 0

3 years ago

Which of the following is between 0.40 and 0.47?

tatyana61 [14]

The answer is C. 21/50 is 0.42. 7/50 is 0.14. 19/50 is 0.38. 43/50 is 0.86. To convert a fraction to a decimal, you will have to divide the numerator by the denominator.
Hope this helped.

6 0

3 years ago

Please help me with this

kondaur [170]

For number 1a. the answer is 7 to 26 or
7:26 or
$\frac{7}{26}$
For number 2a. the answer is 8 to 28 or
8:28 or
$\frac{8}{28} or \frac{2}{7}$
For number 3a. the answer is 12 to 13 or
12:13 or
$\frac{12}{13}$
For number 4a. the answer is 19 to 12 or
19:12 or
$\frac{19}{12}$
For number 5a. the answer is 29 to 10 or
29:10 or
$\frac{29}{10}$
For number 6a. the answer is 11 to 28 or
11:28 or
$\frac{11}{28}$

I just did your homework

4 0

3 years ago

Jeremy bakes two pans of brownies that are the same size. One pan has nuts in it and the other pan does not. He cuts the pan wit

MAVERICK [17]

Answer:

The answer is " $\frac{2}{8} > \frac{3}{16}$ So, they eat more brownies with nuts".

Step-by-step explanation:

In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies $\frac{2}{8} > \frac{3}{16}$ eat more.

5 0

2 years ago