Step-by-step explanation:
If there are 20 yellow marbles,
there must be 32 - 20 = 12 red marbles.
P(Red marble)
= 12/32
= 0.375.
The <em><u>correct answer</u></em> is:

Explanation:
An exponential function is of the form
, where a is the initial population, b is 1 plus the amount of yearly change, and x is the number of years.
For our problem, a, the initial population, is 1500.
The yearly change is 6.3%; 6.3% = 6.3/100 = 0.063. Since it is decreasing, this is negative; 1+(-0.063) = 0.937.
We use t as the number of years.
This gives us

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:
Kindly check explanation
Step-by-step explanation:
Given the following :
Starting temperature = - 5°F
Temperature at midday =increase in temperature by 78°F = (starting temperature + 78°F)
Temperature at nightfall = decrease in temperature by 32°F = ( temperature at midday - 32°F)
Temperature at midday:
(-5°F + 78°F) = 73°F
Temperature at nightfall:
(Temperature at midday - 32°F)
(73°F - 32°F) = 41°F