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Charra [1.4K]
3 years ago
15

Find the angle indicated. Angle 7 is equal to angle

Mathematics
1 answer:
Gwar [14]3 years ago
8 0
Angle 7 is equal to angle 1
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A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta
notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

8 0
4 years ago
What is the value of x in the equation 8x-2y=48, when y=4
Oksanka [162]
8x - 2y = 48,  y =4

8x - 2(4) = 48
8x - 8 = 48
8x = 48+8
8x  = 56
x = 56/8 = 7

x = 7
8 0
3 years ago
Read 2 more answers
Can someone help? Thanks :D
Rufina [12.5K]

Answer:

y\leq -x+4

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be y=-x+4

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that y\leq -x+4 would be the equation for this inequality.

3 0
3 years ago
Describe 58 as a sum of tens and ones
Solnce55 [7]
58 is 5 tens (5*10) and 8 ones (8*1)
4 0
3 years ago
What is the solution to the equation?
Gelneren [198K]

Answer:

Hello,

answer B

2

Step-by-step explanation:

\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\

3 0
3 years ago
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