First, we get the standard error of the mean using
σm = σ / √N
= 5 / √100
= 0.5
Next, we subtract and add 1.96 standard deviations from the mean (since the confidence interval is 95%). So,
8 ±1.96 (0.5)
= 8 <span>± 0.98
The answer is
</span>E) 8±0.98
The x-intercept is (9,0). Hope it help!
Point-slope form: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)
Data:
(1,1)
m=2
Therefore:
y-y₀=m(x-x₀)
y-1=2(x-1) This is the equation of the line in point-slope form.
Answer. y-1=2(x-1)
Answer:
- 8
Step-by-step explanation:
Given
(4 +4 x²)(3x² - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis
= 12x² - 20 + 12
- 20x² ← collect like terms
= 12 - 8x² - 20
with coefficient of x² term being - 8
Answer:
17 adult shirts were sold
Step-by-step explanation:
x = adult shirts and y = children shirts
x + y = 40......adult shirts + child shirts = 40 total shirts
17x + 13y = 588...$ 17 for each adult shirt (x) + $ 13 for each child shirt (y) = $ 588
these are the equations we will be using.
now lets rearrange the first one....x + y = 40......x = 40 - y.....now sub 40 - y in for x back into the second equation
17x + 13y = 588
17(40 - y) + 13y = 588
680 - 17y + 13y = 588
-17y + 13y = 588 - 680
-4y = - 92
y = -92/-4
y = 23 <=== so there were 23 child shirts sold
x + y = 40
x + 23 = 40
x = 40 - 23
x = 17 <===== and 17 adult shirts sold
check...
17x + 13y = 588
17(17) + 13(23) = 588
289 + 299 = 588
588 = 588 (correct)
