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3 years ago

What's the answer to this problem

Mathematics

1 answer:

ryzh [129]3 years ago

5 0

B, because it is the one that is closest together, and it is like a upside down V, unlike Graph A, which is spread out so much.

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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

3 years ago

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

never [62]

Answer:

ans : general term = (2n +8)/(4^n) * (-1)^n

3 0

2 years ago

In terms of rigid transformations (reflections, rotations, and translations), what does this difference represent?

makvit [3.9K]

Solution:

There are four kinds of rigid transformations.

1. Reflection

2. Rotation

3. Translation

4. Dilation

1. The Meaning of term reflection is when we reflect something through a line or mirror the distance of object from line of reflection on both sides are same. The two images Preimage and image are congruent.

2. Rotation means rotating an object or geometrical shape through an angle. An angle can be of any measure that is 0,30°,45°,90°,...... In rotation the two , image and preimage are congruent.

3. While in translation , we shift something from a place to another place keeping the two images,that is image and preimage are congruent.

In all three,either in reflection, rotation,or translation there is no change in shape and size, the two that is image and Preimage are congruent.

4 0

4 years ago

Brennan made lemonade for the country fair.He has 12 containers of the same size to fill the first 3.How many gallons of lemonad

marissa [1.9K]

The remaining number is 20

3 0

3 years ago

Divide 48 in the ratio 3 : 6:7

Marina CMI [18]

Answer:

$48 \times \frac{3}{16} \\ 9$