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alexdok [17]
3 years ago
14

Find the value of x

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Step-by-step explanation:

In a right angle triangle one angle is 90°

w.k.t sum of angles in a triangle is 180°

thus, 2x+15+x+90°=180°

3x+105°=180°

3x=75°

x= 75/3=25°

Hope this helps you.

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What is the value of x? Show work.
ella [17]

Answer:

x=5

Step-by-step explanation:

This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:

12+40=2(8x+10)

12+40=16x+20

20=4x

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5 0
3 years ago
There are 8 students on the minibus. Five of the students or boys. What fraction of the students are boys
blagie [28]
The fraction would be 5/8
3 0
3 years ago
A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i
erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject  the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, \bar{x} = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

H_{0}: \mu \leq 29\\H_A: \mu > 29

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) z_{stat} > z_{critical} , we reject the null hypothesis and accept the alternate hypothesis and if z_{stat} < z_{critical} , we accept the null hypothesis and reject  the alternate hypothesis.

c) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37

d) Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} < z_{critical}

We accept the null hypothesis and reject  the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0
3 years ago
Which formula gives the zeros of y = sin(x)
mojhsa [17]
Trigonometric formula 
7 0
3 years ago
7 x 28<br> = 7(20 + 8<br> = (7 x 20)+(7<br> = 140 + 56<br> = 196
adell [148]

Answer:B

Step-by-step explanation:

5 0
3 years ago
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