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3 years ago

This is geometry. how would I find the x pretty pls help

Mathematics

1 answer:

kondor19780726 [428]3 years ago

8 0

Answer:

x = 70°

Step-by-step explanation:

We are given that two of the sides are congruent so that will make the triangle isosceles.

We know also that the base angles of an isosceles triangle are congruent so we know a second angle.

< 1 = 55° ( given)

< 2 = 55° ( isosceles Δs have base <s ≅)

Using the fact that the sum of angles in a triangle is 180° we can find the third angle.

< 3 = 180 -55-55 = 70°

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In a recent poll, 370 people were asked if they liked dogs, and 7% said they did. Find the margin of error of this poll, at the

Dennis_Churaev [7]

Answer:

$ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218$

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p$ represent the real population proportion of interest

$\hat p=0.07$ represent the estimated proportion for the sample

n=370 is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.10$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And replacing into formula (a) the values provided we got:

$ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218$

The margin of error on this case would be ME=0.0218

5 0

4 years ago

Find the length of side x in simplest radical form with a rational denominator

suter [353]

Answer:

Step-by-step explanation:

7 0

3 years ago

A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new televi

mestny [16]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

P = 0.22

For the alternative hypothesis,

P < 0.22

This is a left tailed test

Considering the population proportion, probability of success, p = 0.22

q = probability of failure = 1 - p

q = 1 - 0.22 = 0.78

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 230

n = number of samples = 1189

p = 230/1189 = 0.19

We would determine the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.19 - 0.22)/√(0.22 × 0.78)/1189 = - 2.5

Recall, population proportion, p = 0.22

We want the area to the left of 0.22 since the alternative hypothesis is lesser than 0.22. Therefore, from the normal distribution table, the probability of getting a proportion < 0.22 is 0.00621

So p value = 0.00621

Since alpha, 0.01 > than the p value, 0.00621, then we would reject the null hypothesis.

Referring to the above, the null hypothesis will be rejected if the test statistic is - 2.5

8 0

4 years ago

What is x ???? help me please

jenyasd209 [6]

Answer:

x = 4

Step-by-step explanation:

The ratio of the side opposite the large filled dot to the hypotenuse is ...

16/20 = x/5

(4/5)(5) = x = 4 . . . . multiply by 5

The value of x is 4.

The angle marks tell us the triangles are similar.

7 0

4 years ago

What is the slope of 27y=3x-54?

sergij07 [2.7K]

To identify the slope of the equation given, it would be helpful to write it in the slope-intercept form. It is expressed as y = mx + b where m is the slope. We write it as follows:

<span>27y=3x-54
y = 3x/27 - 54/27
y = x/9 - 2

Therefore, the slope is 1/9. Hope this answers the question. Have a nice day.</span>

3 0

4 years ago