All you need to do is substitue -2 into the equation for x,
h(-2) = 3(-2) + 1 = -6 + 1 = -5
Answer:
no triangle
Step-by-step explanation:
Adding all of these should equal to 180 from the way the angle is set up.
So the equation should be:
(3x + 2) + (2x + 5) + (2x - 9) = 180
You can remove parentheses as it doesn’t affect the equation since it is all addition.
Let’s first add the common variables together.
3x + 2x + 2x = 7x
2 + 5 + (-9) = -2
So now we should have:
7x - 2 = 180
Now add 2 to both sides.
7x = 182
Divide both sides by 7 to isolate x.
x = 26
So x is 26.
Answer:
product one; it has a higher success rate
Step-by-step explanation:
to find out which has a higher rate of success we can find out their percentage of success
we can divide their success amounts by test amounts
950 / 1000 = 95/100 = 95%
150/200 = 75/100 = 75%
product 1 has a higher success rate
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
