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3 years ago

Which information could not be used to show that triangle FGH=IJK by SAS?

Mathematics

2 answers:

daser333 [38]3 years ago

7 0

The answer is option D

blagie [28]3 years ago

3 0

its not d btw got it wrong (:

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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

What is the distance between (-4,-8) and (-4,0) round to the nearest tenth if needed

mixer [17]

Answer:

Step-by-step explanation:

Distance between x coordinates: 0 units

Distance between y coordinates: 8 units

sqrt(0^2+8^2)

8 units

6 0

3 years ago

A bowl contains 10 quarters, 20 dimes, 15 nickels, and 5 pennies. a coin is selected at random and kept and then a second coin i

DENIUS [597]

In this question, there are a few kinds of the coin with a different value. To answer this question, we need to know the total coin first. The total coin count should be: 10 +20 + 15 +5= 50 coin

In this case, the coin is taken twice, that means the denominator should be 50*49. But in this question, the probablity value is 6/49, so you need to convert it into 50*49 by multiplying the numerator with 50. The value should be:
6/49 *50/50= 300/49*50
The number 300 is multiplication of 20 and 15, that mean the answer should be: 1 dimes and 1 nickles

5 0

3 years ago

Y=2x+ 5

Vlad1618 [11]

Answer:

The slope is the number with the varible next to it.

Step-by-step explanation:

1. 2x

2. 5x

3. 2/3x

4. x

5. x

5 0

3 years ago

If x=9 and y=−3, evaluate the following expression:20−5y+2x

pentagon [3]

Answer:

Step-by-step explanation:

20-5y+2x

20-5(-3)+2(9)

20--15+18

cancel out the negative signs

20+15+18

=53

4 0

3 years ago

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