they receive 25 per entry but 5 goes towards the cost of the race
so 25-5 = 20 per entry is for the charity
so 20x + 5000 = 25000
subtract 5000 from each side
20x= 20000
divide both sides by 20
x = 20000/ 20
x = 1000
they need at least 1000 entries to make 25000
so to make more than 25000, they need 1001 entries
Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:
Z = (X - mu)/sigma
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given as follows:
mu = 400, sigma = 50
The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:
X = 550:
Z = (X - mu)/sigma
Z = (550 - 400)/50
Z = 3
Z = 3 has a p-value of 0.9987.
X = 500:
Z = (X - mu)/sigma
Z = (500 - 400)/50
Z = 2
Z = 2 has a p-value of 0.9772.
0.9987 - 0.9772 = 0.0215 = 2.15% probability.
More can be learned about the normal distribution at brainly.com/question/15181104
#SPJ1
Answer:
19.4 miles per gallon
Step-by-step explanation:
In this question, we are asked to calculate the distance traveled per gallon of fuel filled into a tank. Hence, this looks like a rate question.
Firstly, we need to know the distance covered during the duration in which the fuel was in the engine. To do this, we subtract the final odometer reading from the initial odometer reading. This is mathematically equal to: 24,923.4 - 24,583.9 = 339.5 miles.
This means she travelled a total distance of 339.5 miles on the 17.5 gallon fuel.
Hence, the miles per gallon gotten by the van is numerically equal to 339.5/17.5 = 19.4 miles/ gallon
8 large red, 5 small red, 7 large blue, 4 small blue:
totally = 24 marbles
P(red)= 13/24
let A red and B large
P(A/B)= P(A∩B)/P(B)
P(B)= 15/24 =.625
P(A∩B)= 8/24 = .333
P(A/B) =.333/.625 =.533
P(B/A) =.625/.333= 1.875
so the probability of p(large/red) is larger.
Answer:
angle b = 79
Step-by-step explanation:
Angle b = 79 because they alternate exterior angles. Alternate exterior angles are equal when the lines are parallel.
