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kogti [31]
3 years ago
8

What is the value of x? Geometry Please help ! Thankyou

Mathematics
1 answer:
cluponka [151]3 years ago
8 0
We know that the triangle is made up of 180°
To find "x" we need to know the two angles of the triangle.
We also know that the supplementary angles are made of 180°
In this case the supplementary angle would the angle were 100° and the missing value is.
Since supplementary angles are made of 180°
180°-100° = 80°
Now we know the two angles of the triangle.
Since the triangle is made up of 180° 
180° = x + 70° + 80°
x + 150° = 180°
x = 180° - 150°
x = 30°
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vitfil [10]

Answer:

There is not enough evidence to support the claim that union membership increased.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 11.3% = 0.113

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis

H_{0}: p = 0.113\\H_A: p > 0.113

The null hypothesis sates that 11.3% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

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

Putting the values, we get,

z = \displaystyle\frac{0.13-0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}} = 1.073

now, we calculate the p-value from the table.

P-value = 0.141636

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the claim that union membership increased.

5 0
3 years ago
Can someone help me?
Ivenika [448]

Answer:

18

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
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In ΔQRS, q = 4.9 cm, r = 7.1 cm and ∠S=70°. Find the area of ΔQRS, to the nearest 10th of a square centimeter.
IgorC [24]

Answer:16.3

Step-by-step explanation:

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4 0
3 years ago
Need help. thank you
yulyashka [42]

Answer:

x = 70.53 degrees

Step-by-step explanation:

equation:

cos-1 = \frac{adjacent}{hypotenuse}

⇒ cos-1 x = \frac{4}{12}

⇒ cos-1 x = 0.33

⇒ x = 70.528

round to the nearest tenth:

⇒ 70.53

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3 years ago
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Write the null and alternative hypotheses you would use to test each of the situations in parts​ (a) through​ (c). ​(a) A govern
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Answer:

  1. p=0.7,pa,0.7
  2. p=0.7,pa.0.7
  3. p=0.7,p=/0.7

6 0
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