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Anna007 [38]
3 years ago
10

What is the solution to the system graphed below?

Mathematics
1 answer:
Greeley [361]3 years ago
4 0

Answer:

The solution is one point. This is the only point that is on both lines and it is called the intersection between both lines.

Step-by-step explanation:

The two lines which are not parallel will always intersect at one point. The only point which is on both lines is called the intersection between both lines.

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An opinion poll asks a simple random sample of 100 college seniors how they view their job prospects. In all, 53 say "good." Doe
ValentinkaMS [17]

Answer:

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

Step-by-step explanation:

Information provided

n=100 represent the random sample ofcollege senior selected

X=53 represent the college seniors who say good

\hat p=\frac{53}{100}=0.53 estimated proportion of seniors who think their job prospects are good

p_o=0.5 is the value that we want to test

z would represent the statistic

p_v represent the p value

System of hypothesis

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

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 have:

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=0.6  

The p value for this case would be given by

p_v =P(z>0.6)=0.274  

7 0
4 years ago
A triangular flag has an area of 462 square feet. The base is 14 feet. What is the height?
gulaghasi [49]

Answer: 66ft

Step-by-step explanation:

A=1/2bh

462=1/2(14)(h)

462=7h

66=h

8 0
3 years ago
What is the solution to the equation1 over the square root of 8 = 4(m − 2)? (1 point)
ValentinkaMS [17]
1 over the square root of 8 = 4(m - 2) equals  m = 2 + the square root of 2<span>2/2 or approximately 2.71. To solve this you need to find the variable, isolate the variable, and then solve. Remember that whatever happens to one side of the equation has to happen to the other.</span>
8 0
3 years ago
Read 2 more answers
Can someone answer the blanks for points? THANKS I’m failing !
charle [14.2K]

Answer:

a. $3,333.33

b. $223,333.31

Step-by-step explanation:

a. $50,000 value increase and difference of 15 years 50,000/15 = 3,333.333333= 3333.33

b. difference 2006 and 1999 is 7 years, growth by year is $3333.33 so 3333.33 * 7 = 23,333.31 is difference in growth in those 7 years plus the original value of 1999 is $223,333.31

8 0
4 years ago
Factor the polynomial completely using any method. Show steps.<br> 2d^4-13d^2-45
Alinara [238K]

Answer:

\huge ( {2d}^{2}  + 5)(d + 3)(d - 3)

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • factoring
  • PEMDAS
<h3>given:</h3>
  • 2d^4-13d^2-45
<h3>let's solve:</h3>

2d^4-13d^2-45

2 {d}^{4}  + 5 {d}^{2}  - 18 {d}^{2}  - 45 \\  {d}^{2} ( {2d}^{2}  + 5) - 9( {2d}^{2}  + 5) \\ ( {2d}^{2}  + 5)( {d}^{2}  - 9 )\\ ( {2d}^{2}  + 5)(d + 3)(d - 3)

3 0
3 years ago
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