Answer:
x = 4
Step-by-step explanation:
3x - 10 = 2 | Given
3x = 12 | Add 10 to both sides to isolate 3x
x = 4 | Divide both sides by 3 to get the value of x
Answer:
-216
(-6)^3
Step-by-step explanation:
-6 * (-6*-6)
-6 * 36
-216
or
-6 * -6 *-6
This is -6 multiplied together 3 times
(-6) ^3
Answer:
$10.64
Step-by-step explanation:
We know that 1 pound, costs $4.25, so to begin I added that together. And gave myself 8.50. Now, we know that we have 2 pounds. We need 2.5 so, I devided 425 by 2, and got 213.5. Now I know I have to round to the nearest cent. And 213.5 would round to 214. Now we put the decimal back in place and add our 2.14 to our 8.50 and get $10.64
MB=(1/2)AB
(1/2)126=63
63=8x+7
56=8x
x=7
Answer:
95% Confidence interval for y
= (-9.804, -5.979)
Lower limit = -9.804
Upper limit = -5.979
Step-by-step explanation:
^y= 2.097x - 0.552
x = -3.5
Standard error = 0.976
Mathematically,
Confidence Interval = (Mean) ± (Margin of error)
Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915
(note that x=-3.5)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value for 95% confidence interval = 1.960
Standard Error of the mean = 0.976
95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]
CI = -7.8915 ± (1.960 × 0.976)
CI = -7.8915 ± 1.91296
95% CI = (-9.80446, -5.97854)
95% Confidence interval for y
= (-9.804, -5.979)
Hope this Helps!!!