Answer:
The critical t values are -1.746 and 1.746.
Step-by-step explanation:
Given information:
The weight of a USB flash drive is 30 grams and is normally distributed.
Population mean = 30
Sample size = 17
Sample mean= 31.9
Standard deviation = 1.8
Significance level, α=0.10
Null hypothesis: 
Alternative hypothesis: 
It is a two tailed test.
The t-critical values for a two-tailed test, for a significance level of α=0.1 are -1.746 and 1.746.
Therefore the critical t values are -1.746 and 1.746.
<em><u>Complete Question:</u></em>
What is the y intercept of y = -3-7x
<em><u>Answer:</u></em>
<h3>The y intercept is (0, -3)</h3>
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
y = -3 - 7x
The y intercept is the point where the line crosses the y axis
<u>Finding y intercept:
</u>
To determine the y-intercept, we set x equal to zero and solve for y
Substitute x = 0 in given equation
y = -3 - 7(0)
y = -3 - 0
y = -3
Thus the y intercept is (0, -3)
Answer:
0
Step-by-step explanation:
We have the fraction
Step 1. Use LCM of the fraction, (2m+3)(2m-3), to simplify the fraction:
![\frac{(2m-3)(2m)-(2m+3)(2m)}{(2m+3)(2m-3)} =\frac{2m^2-6m-[2m^2+6m]}{(2m+3)(2m-3)} =\frac{2m^2-6m-2m^2-6m}{(2m+3)(2m-3)} =\frac{-12m}{(2m+3)(2m-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B%282m-3%29%282m%29-%282m%2B3%29%282m%29%7D%7B%282m%2B3%29%282m-3%29%7D%20%3D%5Cfrac%7B2m%5E2-6m-%5B2m%5E2%2B6m%5D%7D%7B%282m%2B3%29%282m-3%29%7D%20%3D%5Cfrac%7B2m%5E2-6m-2m%5E2-6m%7D%7B%282m%2B3%29%282m-3%29%7D%20%3D%5Cfrac%7B-12m%7D%7B%282m%2B3%29%282m-3%29%7D)
Step 2. Equate the resulting fraction to zero and solve for
:

![-12m=0[(2m+3)(2m-3)]](https://tex.z-dn.net/?f=-12m%3D0%5B%282m%2B3%29%282m-3%29%5D)



Step 3. Replace the value in the original equation and check if it holds:


Since
,


Since the only solution of the equation holds, the equation bellow doesn't have any extraneous solution
Answer:
There were 14 pounds of blueberries sold and 42 pounds of peaches sold.
Step-by-step explanation:
Since Sadie sold 3 times as many pounds of peaches as pounds of blueberries, she sold more pounds of peaches, so if we multiply 3 by the number of pounds of blueberries sold, we will get the number of pounds of peaches sold, meaning pp equals 3b.
There were 14 pounds of blueberries sold and 42 pounds of peaches sold.