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3 years ago

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Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

x=-26

Step-by-step explanation:

Subtract 45 from both sides.

-85-45=5x

Simplify -85-45 to -130

-130=5x

Divide both sides by 5.

-130/5=x

Simplify 130/5 to 26

-26=x

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True or False

otez555 [7]

The answer is true FYI

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3 years ago

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Whats 2(4k+3)-13=2(18-k)-13 solve

Tju [1.3M]

Answer:

k=3

Step-by-step explanation:

2(4k+3)−13=2(18−k)−13

(2)(4k)+(2)(3)+−13=(2)(18)+(2)(−k)+−13

8k+6+−13=36+−2k+−13

(8k)+(6+−13)=(−2k)+(36+−13)

8k+−7=−2k+23

8k−7=−2k+23

8k−7+2k=−2k+23+2k

10k−7=23

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2 years ago

Are ac and be congruent explain?

anzhelika [568]

AC is a line with length of 7 units, from -7 to 0

BE is a line with length of 6 units, from 0 to 6

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4 0

3 years ago

VLD [36.1K]

Answer is D. 81

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4 0

3 years ago

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

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