Hello!
We separate this into three sections
we are looking for a graph that has a line where x is greater than -3 and less than -2 while the circles not shaded since it does have the or equal to sign
The graphs that have this is the first and the third
Next we can look for the graph that has x greater than or equal to -2 and less than 3 with the one at -2 shaded but the one at 3 not
The graph that follows this is the third graph
The answer is the third one
Hope this helps!
Answer:
The null and alternative hypothesis are:
There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Step-by-step explanation:
Consider the provided information.
The claim that the mean tornado length is greater than 2.6 miles.
If there is no statistical significance in the test then it is know as the null which is denoted by 
, otherwise it is known as alternative hypothesis which denoted by 
.
Therefore, the required null and alternative hypothesis are:
significance level α =0.05
From the given table the test statistic T=2.230166
P-value is 0.0131
0.0131<0.05
P value is less than the significance level, so reject the null hypothesis.
There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Answer:
x = 15
Step-by-step explanation:
Substitute: -4/5x + 7 = -5
Rearrange unknown terms to the left side of the equation: -4/5x = -5 - 7
Calculate the sum or difference: -4/5x = -12
Divide both sides of the equation by the coefficient of variable: x = -12 × (-5/4)
Remove the parentheses: x = 12 × 5/4
Cross out the common factor: x = 3 × 5
Calculate the product or quotient: x = 15
So the answer is: x = 15
<span>The least common multiple of x² – 8x + 12 and x² – x – 2.
by factoring:
∴ </span><span>x² – 8x + 12 = (x-2)(x-6)
</span><span>x² – x – 2 = (x-2)(x+1)
note: the factor (x-2) is common between them take it one time
∴ LCM = (x-2)(x-6)(x+1)
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