Answer:
h(-3)=9
Step-by-step explanation:
hope this helps
Answer: x=39
3x-15=2x+24
-2x -2x
1x-15=24
+15 +15
x=39
Explanation: Non-consecutive angles are congruent. Set the two angles equal to each other and solve for x. You should get x=39.
Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that:
.
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.

AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16
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!
For dividing fractions you should always use the KCF method: Keep Change Flip
6/10 divided by 12/7
Kcf method:
6/10*7/12= 42/120
42/120 in simplest form will be 7/20
So the answer is A