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Arlecino [84]
2 years ago
15

Two lines are intersecting. What is the value of x? Enter your answer in the box. (x + 23) (2x + 4)° Help! Please!!!

Mathematics
1 answer:
Delicious77 [7]2 years ago
5 0

Answer:

x = 51^o

Step-by-step explanation:

Given

Intersecting lines

Required

Find x

To do this, we make use of:

x + 23^o + 2x + 4^o = 180^o --- angle on a straight line

Collect like terms

x  + 2x = 180^o - 4^o - 23^o

3x = 153^o

Divide both sides by 3

x = 51^o

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Alex787 [66]
13/4, is your answer.
6 0
2 years ago
According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

6 0
3 years ago
The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost,
docker41 [41]
The expression that represents the profit is: ( 5x2 + 2x – 80)-(<span>5x2 – x + 100)

Profit can be modeled by polynomial expression: 3x-180

If 1,000 video game systems are sold, the company's profit is: $2,820</span>
6 0
2 years ago
Read 2 more answers
2. How many real number solutions are there to the equation 0 =-3x2 + x - 4?
goblinko [34]

For this case we have the following quadratic equation:

-3x ^ 2 + x-4 = 0

Where:

a = -3\\b = 1\\c = -4

By definition, the discriminant of a quadratic equation is given by:

d = b ^ 2-4 (a) (c)

We have to:

d> 0: Two different real roots

dTwo different complex roots

d = 0: Two equal real roots

Substituting the values we have:

d = 1 ^ 2-4 (-3) (- 4)\\d = 1-48\\d = -47

So, we have two different complex roots

Answer:

Two different complex roots

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3 years ago
If two vertices of an equilateral triangle are the point (3,4) and (-2,3), find the coordinate of third vertic!s
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Use Photomath math it’s really good download it
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