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Vitek1552 [10]
3 years ago
15

Find the value of x. I need to show my work*** THANK YOU

Mathematics
2 answers:
FrozenT [24]3 years ago
8 0

Answer:

29 = x

Step-by-step explanation:

The two angles shown are vertical angles and vertical angles are equal

59 = 2x+1

subtract 1 from each side

59-1 = 2x+1-1

58 = 2x

Divide by 2

58/2 = 2x/2

29 = x

Alchen [17]3 years ago
3 0

Answer:

x=29

Step-by-step explanation:

They are vertical angles so 59=2x+1

58=2x

x=29

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Lina20 [59]
Angle D = 47’

Angle B = 116’
32 + 32 = 64
180 - 64 = 116’

Angle E = 17’
116 + 47 = 163
180 - 163 = 17


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3 years ago
Below are three different hypothesis tests about population proportions. For each test, use StatKey and the information given to
Ilia_Sergeevich [38]

Answer:

1a) p-hat=0.38

1b) P=0.08

1c) The null hypothesis is not rejected

2a) p-hat=0.64

2b) P=0.0027

2c) The null hypothesis is rejected

3a) p-hat=0.55

3b) P=0.153

3c) The null hypothesis is not rejected

Step-by-step explanation:

(1) H0: p = 0.3 vs Ha: p ≠ 0.3. In their survey, they had a count of 38 using a sample size n=100.

1a) The p-hat is p-hat=38/100=0.38.

1b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.3*0.7}{100}}=0.046

The sample size is n=100.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.38-0.3}{0.046}=\frac{0.08}{0.046}= 1.74

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.74 is P=0.08.

1c) The null hypothesis is not rejected.

(2) H0: p = 0.7 vs Ha: p ≠ 0.7. In their survey, they had a count of 320 using a sample size n=500.

2a) The p-hat is p-hat=320/500=0.64.

2b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7*0.3}{500}}=0.02

The sample size is n=500.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.64-0.7}{0.02}=\frac{-0.06}{0.02}=-3

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=3 is P=0.0027.

2c) The null hypothesis is rejected.

(3) H0: p = 0.6 vs Ha: p < 0.6. In their survey, they had a count of 110 using a sample size n=200.

2a) The p-hat is p-hat=110/200=0.55.

2b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.6*0.4}{200}}=0.035

The sample size is n=200.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.55-0.6}{0.035}=\frac{-0.05}{0.035}=-1.43

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.43 is P=0.153.

2c) The null hypothesis is not rejected.

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1/1 because if you’ve already take one or orange out of the box you would only have one left to select two from the same box. you started with 2/2 and took one out put 1/1.
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In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Tanya [424]

Answer:

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Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

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This means that the angles in the triangle are:

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2 years ago
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