Answer:
Probability that at most 50 seals were observed during a randomly chosen survey is 0.0516.
Step-by-step explanation:
We are given that Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey.
The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals.
Let X = <u><em>numbers of seals observed</em></u>
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean numbers of seals = 73
= standard deviation = 14.1
Now, the probability that at most 50 seals were observed during a randomly chosen survey is given by = P(X 
50 seals)
P(X 50) = P( 
) = P(Z -1.63) = 1 - P(Z < 1.63)
= 1 - 0.94845 = <u>0.0516</u>
The above probability is calculated by looking at the value of x = 1.63 in the z table which has an area of 0.94845.
The probability that he will pull out a nickel, then a quarter, then a nickel is 
<u>Explanation:</u>
Given:
Number of dimes = 3
Number of Quarters = 2
Number of pennies = 2
Number of Nickles = 5
Total coins = 3 + 2 + 2 + 5
= 12
Probability that Armando will pull out Nickel first = 
After taking out Nickel, the total number of coins in the pocket will be 11
So,
Probability that he will pull a quarter = 
Total coins remaining = 11 - 1 = 10
Total Nickel remaining = 5 - 1 = 4
Probability that he will take our Nickel = 
Total probability = 
=
Answer:
972π m³
Step-by-step explanation:
given
in a sphere
radius (r) = 9 m
Volume (V ) = ?
so we know
The formula for the volume of a sphere is V = 4/3 πr³.
now
V = 4/ 3 * π * 9³
V = 972π m³
hope it helps :)
Each of the members must raise at least $69.46.
To start they need to raise $552.50. However, they have already raised 12% of it. They only need to raise 88% of it.
552.50 x 0.88 = 486.2
Divide the remaining amount by 7 to determine how much each individual must raise.
486.2 / 7 = 69.46
Answer:
The value of 7w - 8 is -22
Step-by-step explanation:
Let us solve the question
∵ -4w - 5 = 3
→ Move -5 from the left side to the right side by adding both sides by 5
∴ -4w - 5 + 5 = 3 + 5
∴ -4w = 8
→ Divide both sides by -4
∵ 
= 
∴ w = -2
→ Now let us find the value of the given expression
∵ The given expression is 7w - 8
→ Substitute w by -2 to gets its value
∴ 7w - 8 = 7(-2) - 8
∴ 7w - 8 = -14 - 8
∴ 7w - 8 = -22
∴ The value of 7w - 8 is -22
