The sum of the interior angles is 180°
Answer is x = -7 and x = -3
<span> x2 + 10x = -21
</span><span> x2 + 10x + 21 = 0
</span>(x +3) (x +7) = 0
(x +3) = 0
and
(x + 7) = 0
so x = - 3 and x = -7
Answer:
7x-34 because...
product means multiply the variable x by 7
7x
decreased mean we subtract 34 from 7x
7x-34
Answer:
Step-by-step explanation:
Given that :
population mean μ = 120
sample size n = 37
sample mean x = 111
standard deviation = 21
The null hypothesis and the alternative hypothesis can be computed as:
The null hypothesis:

The alternative hypothesis:

Since this test is two-tailed, the value for the test statistics can be computed as:



z = -2.605
z = -2.61
Since this is a two-tailed test
P-value = 2(z < -2.61)
From the z table;
P-value = 2(0.0045)
P -value = 0.009
Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance
Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.
Answer:
y = ± 12
Step-by-step explanation:
Given
y : 24 = 6 : y, or in fraction form
=
( cross- multiply )
y² = 144 ( take the square root of both sides )
y = ±
= ± 12