Answer:
v = -7.5
Step-by-step explanation:
Step 1: Subtract 3v from both sides.
v-17 − 3v = 3v−2 −3v
−2v−17=−2
Step 2: Add 17 to both sides.
−2v−17+17=−2+17
−2v=15
Step 3: Divide both sides by -2.
-2v/2 = 15/2
v = -15/2
v = -7.5
Hope this helps!
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Answer:
a) X[bar]₁= 1839.20 cal
b) X[bar]₂= 1779.07 cal
c) S₁= 386.35 cal
Step-by-step explanation:
Hello!
You have two independent samples,
Sample 1: n₁= 15 children that did not eat fast food.
Sample 2: n₂= 15 children that ate fast food.
The study variables are:
X₁: Calorie consumption of a kid that does not eat fast food in one day.
X₂: Calorie consumprion of a kid that eats fast food in one day.
a)
The point estimate of the population mean is the sample mean
X[bar]₁= (∑X₁/n₁) = (27588/15)= 1839.20 cal
b)
X[bar]₂= (∑X₂/n₂)= (26686/15)= 1779.07 cal
c)
To calculate the sample standard deiation, you have to calculate the sample variance first:
S₁²= 
[∑X₁² - (( ∑X₁)²/n₁)]= 
= 149263.4571 cal²
S₁= 386.35 cal
I hope it helps!
Answer:
x = 15
y = 2
Step-by-step explanation:
X-4y=7 | ×6 |
-6x-3y=12 | ×1 |
6x - 24y = 42
-6x - 3y = 12
___________+
27y = 54
y = 54/27
y = 2
x - 4y = 7
x - 4(2) = 7
x - 8 = 7
x = 7 + 8
x = 15
The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:
<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2
We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so
864 = (<em>b</em>₁ + 30) 24 / 2
864 = (<em>b</em>₁ + 30) 12
864 = (<em>b</em>₁ + 30) 12
72 = <em>b</em>₁ + 30
<em>b</em>₁ = 42
