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2 years ago

When can you write ratios as a fraction?

Mathematics

1 answer:

k0ka [10]2 years ago

4 0

Answer:

In a mathequation when needed

Step-by-step explanation:

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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

A line passes through (6,3), (8,4), and (n,-2). Find the value of n.

Ganezh [65]

Answer: n=2

Step-by-step explanation:

Get graph paper make a graph mark them on your graph and since it says (n,-2) its going down because of the negative 2 i don't think this helped but if it did

7 0

3 years ago

It takes Henry 3 hours to paint someone’s portrait how many hours would it take for him to paint all 8 of his friends’ portraits

Y_Kistochka [10]

If each painting takes 3 hours, and he has to do 8 then he would spend 24 hours doing all 8 portraits

5 0

2 years ago

Read 2 more answers

Determine the range of the following graph:

BaLLatris [955]

Answer:

The range of a function is the set of outputs the function can give

The y-axis on the graph shows as the output of the function

From the graph, we can see that the outputs of this specific function range from 0 to 5

Therefore, the range of this function is: [0 , 5]

3 0

3 years ago

Find the sale price to the nearest cent .. $40 sweater; 33%discount

fiasKO [112]

Answer:

$26.80

Step-by-step explanation:

(I don't know exactly how other people were taught to do percentages, but this is how I was taught and I find it the easiest for me.)

You are going to subtract your percentage number by 100.

100 - 33 = 67

This will give you your multiplier so you can then get your answer but you have to turn it into a decimal.

0.67 x 40 = 26.80

8 0

3 years ago