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3 years ago

How to do it ? Thanks for help

Mathematics

1 answer:

Rudik [331]3 years ago

8 0

It is isosceles trapezium, so angle A=angle B,
angle C=angle D=angle BDC
triangle BCD,
180=22 +D+(D-88)
(D-88) because in trapezium C=D, angle BCD=ACD-88 or C-88, and D-88
180=2D-66
2D=180+66
2D=246
D=123

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Len [333]

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Step-by-step explanation:

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2 years ago

What is the domain and range on this graph?

Drupady [299]

Answer:

The answer to your question is Domain (-∞, ∞) Range [-4, ∞)

Step-by-step explanation:

The Domain is the set of all possible values of the independent variable (x).

The Range is the set of all the possible values of the dependent variable when substitute the domain in the function.

On the graph, we find the domain looking at the x-axis

On a graph, we find the range, looking at all the y-axis

In this graph, x has values from -infinite to infinite, then, the domain is (-∞, ∞).

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3 years ago

Based on the graph, what is the initial value of the linear relationship?

yuradex [85]

Answer:

The initial value of the linear relationship is $y=-2$

Step-by-step explanation:

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therefore

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3 years ago

Read 2 more answers

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Answer:

Step-by-step explanation:

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3 years ago

Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h

irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = population proportion.

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, $H_0$ : p = 0.70 {means that the population proportion is equal to 0.70}

Alternate Hypothesis, $H_A$ : p < 0.70 {means that the population proportion is less than 0.70}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.63

n = sample of observations = 100

So, the test statistics = $\frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }$

= -1.528

The value of z-test statistics is -1.528.

Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

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3 years ago