<h2>
Answer:</h2>
m∠MLQ = 60°. (<u>Equilateral triangle</u>)
Hence, m∠QLP = 30°.
<u>ΔLQP is an isosceles triangle (LQ and LP are congruent)</u>
m∠LPQ = m∠LQP = (180 - 30)/2
m∠LQP = 150/ 2
m∠LQP = 75°.
Answer:
11,7,13
Step-by-step explanation:
coefficients come before the variable. so if it’s 13r, the variable is r. which makes the coefficient 13
Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive
Answer:
-1
because you are adding up to 0 to get back to the positive.
<h2><u>
Answer with explanation:</u></h2>
Let p be the proportion of voters in a certain state support an increase in the minimum wage.
As per given , we have
Since alternative hypothesis is right-tailed so the test is a right-tailed test.
Test statistic : 
, where n= sample size.
p= population proportion.
= sample proportion.
. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.
i.e. n= 300 and 
Then,
For significant level α = .05 , the critical z-value is
Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.
Conclusion : We have sufficient evidence o support researcher's claim that that the percentage of fast food workers for support and increase is higher than 70%..
