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3 years ago

Can someone tell me the answer to me pls I have to be done in 20 minutes

Mathematics

1 answer:

Feliz [49]3 years ago

7 0

Answer:

x = 9.25

Step-by-step explanation:

It is given that ABC is an isosceles triangle.

m∠A = 43° and m∠C = (6x+13)°

We need to find the value of x.

The sum of a triangle is equal to 180°.

∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°

∠A+∠B +∠C=180

43+∠B+(6x+13)°=180

6x+∠B+56=180

6x+∠B = 124

∠B =124-6x

For an isosceles triangle,

∠B = ∠C

124-6x = (6x+13)

124-13 = 6x+6x

111 = 12x

x = 9.25

So, the value of x is 9.25.

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Read 2 more answers

A government watchdog association claims that 70% of people in the U.S. agree that the government is inefficient and wasteful. Y

nata0808 [166]

Answer:

Option D) There is sufficient evidence that the true population proportion is not equal to 70%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1165

p = 70% = 0.7

Alpha, α = 0.02

Number of people who agreed , x = 746

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.7\\H_A: p \neq 0.7$

This is a two-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{746}{1165} = 0.64$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.64-0.7}{\sqrt{\frac{0.7(1-0.7)}{1165}}} = -4.46$

Now, $z_{critical} \text{ at 0.02 level of significance } = \pm 2.33$

Since,

Since, the calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there is enough evidence to support the claim that the true proportion differs from 70%.

Option D) There is sufficient evidence that the true population proportion is not equal to 70%.

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3 years ago

Can someone tell me the answer to me pls I have to be done in 20 minutes ​

Can someone tell me the answer to me pls I have to be done in 20 minutes