The event "P and Q" is a compound event in the probability, and the true statement about the probability is P(P and Q) = 1/9
How to determine the true statement?The probabilities are given as:
P(P) = 1/6
P(Q) = 2/3
The probability of the event P and Q is calculated using:
P(P and Q) = P(P) * P(Q)
This gives
P(P and Q) = 1/6 * 2/3
Evaluate the product
P(P and Q) = 1/9
Hence, the true statement about the probability is P(P and Q) = 1/9
Read more about probability at:
https://brainly.com/question/251701
The exam scores for 200 students are normally distributed with a mean of 72 and a standard deviation of 10. Which answer choice below represents the number of students with scores between 72 and 82?.
Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 72, \sigma = 10[/tex]
The proportion of students with scores between 72 and 82 is the p-value of Z when X = 82 subtracted by the p-value of Z when X = 72.
X = 82:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{82 - 72}{10}[/tex]
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 72}{10}[/tex]
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
the terminal point of θ is sqrt3/2/1/2. what is sin θ?
A) sqrt 3
B) sqrt3/2
C) 1/2
D) sqrt3/3
Answer:
C: 1/2.
Step-by-step explanation:
the answer is 1/2 because I just took it and got it right.
Curtis can unload a truckload of hay in 30
minutes, but it takes Ronnie 40 minutes to do
the same. Working together, how many minutes
will it take them to unload 35 truckloads of
hay?
Answer:
600 minutes ( 10 hours)
Step-by-step explanation:
rate c = 1 job/30 min
rate r = 1 job/40 mi
1 job / ( 1/30 + 1/40) = 1 / ( 7/120) = 17.14 minutes per ruckload
17.14 * 35 trucks = 600 minutes
omg help please im begging 
Step-by-step explanation:
The cost of one song is 2.56/2
= 1.28
A rectangular prism has a surface area of 268 square centimeters. If the length is 8 cm and the width is 10 cm, what is the height of the prism?
Will mark brainlyest!!
Answer:
3cm, is correct.
use the surface area formula
What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth.
Answer:
my guess is 1?
Step-by-step explanation:
I just guess
If the area of a
parallelogram is 36
ftl
what are some possible
height & base
measurements?
Answer:
Take the base of the parallelogram to be 40 cm. 1,200 sine (36) = 40 * h. Divide both sides by 40. So, the height of the parallelogram is 17.63 cm.
Step-by-step explanation:
Cylinder with height of 5 and length of 12 what’s the volume
Answer:
okay let's start
Step-by-step explanation:
[tex]v = \pi \: r\: ^{2} h \\ h = 5 \: r = (12) \div 2 = 6 \\ v = \pi \times 6 ^{2} \times 5 \\ = 565.4866776[/tex]
0.5757… as a fraction
Answer:
Your answer is [tex]\frac{19}{33}[/tex]
Step-by-step explanation:
That is kind of hard. I have used the internet to help create that repeating decimal to a fraction and got that as your answer.
Answer:
19/33
Step-by-step explanation:
There are two repeating decimals so divide 57 (repeating part)... by 100x minus x
57/100x -x
57/100x - x = 0
100x - x = 57
99x=57
x=57/99
Simplify:
x = 19/33
Mark brainliest
frank rented a truck for one day. There was a base fee of 14.95, and there was an additional charge of 78 cents for each mile driven. Frank had to pay $134.29 when he returned the truck. For how many miles did he drive the truck
(x+4)+(x+7)=81
leave your answer in terms of pi. what is the area in square feet?
options :
16π
81π
9π
49π
please show work.
In this article, I will show you how to find the area of a circle and express your answer in terms of pi (π). First, you'll need to familiarize yourself with the formula for calculating the area of a circle:
A = π * r²
Let's define our variables:
A: area of the circle
π: pi (a mathematical constant that is approximately equal to 3.141492 . . .)
r: radius of the circle (the distance from the circle's center point to its edge)
Typically, to find the area of a circle, we would simply plug in the circle's radius for r and 3.141592 for π. If so, our answer would be a number.
Therefore, the answer is 16π.
Use the formula for simple interest. A=(p)(r)(t) remember, a refers to the interest accrued. Calculate the total interest tom would pay, in addition to paying back his $9,000 in principal. $970 $1,970 $2,970 $3,970
Answer:
2,970$
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Calculate the relative frequency of the penny landing on tails.
Answer:
1/2.
Step-by-step explanation:
There are 2 possible outcomes when you toss a penny = tails or heads. Landing a tail is 1 outcome.
Sp the relative frequence of a tail = 1/2.
please help with the following question and explain in detail
The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.
What is a probability tree?A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.
What are the chances that Ben will do his homework?To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:
Probability that he does the math homework: = 0.33 Probability that he will not do the math homework = 0.66Probability that he does the English homework = 0.25Probability that he will not do the English homework = 0.75Learn more about probability in: https://brainly.com/question/11234923
Which of the following numbers is irrational?
Select all that apply.
Direction: Fill in the boxes with "Yes" or "No". KITE SQUARE RHOMBUS RECTANGLE P Property Opposite sides are equal. Opposite cid
Answer:
this is the answer for your question
How do you write $2.67 in fraction form?
Answer:
267/100
Step-by-step explanation:
Hope this helps! :)
Answer number 7 part B please.
Answer:
C. About twice as many voters will vote yes on proposal 7 as will vote on proposal 4. TrueStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧Cesar’s annual homeowners insurance premium is $972.80. if his home is valued at $253,000, roughly how much is cesar paying for homeowners insurance? a. $0.13 per $100 of value b. $0.19 per $100 of value c. $0.26 per $100 of value d. $0.38 per $100 of value please select the best answer from the choices provided a b c d
If his home is valued at $253,000, roughly the amount that cesar paying for homeowners insurance is: $0.38 per $100 of value.
Homeowners insuranceUsing this formula
Homeowners insurance=Insurance premium/Total value×$100
Let plug in the formula
Homeowners insurance= $972.80/$253,000×$100
Homeowners insurance=$0.38
Therefore the amount that cesar paying for homeowners insurance is: $0.38 per $100 of value.
Learn more about Homeowners insurance here:https://brainly.com/question/26078866
#SPJ4
Answer:
Its C
Step-by-step explanation:
(100 points! :D)Rewrite this non-statistical question as a statistical question.
"How many brothers do you have?"
l l
∴ ∴
V
Answer:
How many brothers and sisters do people in our class have?
Students might suggest that we can ask how many siblings, or they might suggest we ask how many brothers, how many sisters and how many altogether.
The idea of asking about brothers and sisters separately allows for a deeper exploration of the data and a more in depth answer to our investigative question.
Step-by-step explanation:
a lightbulb manufacturer produces 20,000 lightbulbs each week. they ship the lightbulbs to stores in cartons of 75. how many cartons are needs to ship 20,000 lightbulbs.
Answer:
267
Step-by-step explanation:
20,000/75= 266.666666
round up to 267
A) These polygons are similar. Determine the values of x° and y°.
Determine the equation of the circle graphed below.
1. Which is the scale factor that will carry the smaller triangle to the larger for the similar triangles ABC and DEF shown below?
A. scale factor = 6/5
B. scale factor = 5/4
C. scale factor = 3/2
D. scale factor = 4/3
Answer:
you answer is B. scale factor = 5/4
Answer:
B
Step-by-step explanation:
24.5 ÷ 18.375 = 5/4
23 ÷ 17.25 = 5/4
In Jenny's bucket there are 7 brown worms and 10 red worms. Jenny is going to choose 11 worms at random from the bucket to use for fishing. What is the probability that she will choose 5 brown worms and 6 red worms? Round your answer to three decimal places.
Answer:
5/7 11/17 = 0.65
5/10
Step-by-step explanation:
Can anyone help me out? :)
I’ll give 15 points for first correct answer!
Mitchel owns a livestock trailer that can hold a maximum of 5,000 pounds. The average weight of each goat is 90 pounds, and the average weight of each calf is 360 pounds. Mitchel would like to know how many goats and calves he can transport in a single trip.
The inequality that represents this situation is graphed here.
A.
Mitchel can transport 42 goats and 2 calves in one trip.
B.
Mitchel can transport 30 goats and 8 calves in one trip.
C.
Mitchel can transport 24 goats and 10 calves in one trip.
D.
Mitchel can transport 50 goats and 4 calves in one trip.
Answer:
A
Step-by-step explanation:
Find an expression for the number in the nth term pattern of the sequence.
4 , 7 , 12, 19
Answer:
n^2 + 3.
Step-by-step explanation:
4 7 12 19
Differences are 3 5 7 so this a quadratic sequence.
2nd difference = 2 2
So the first part of the expression is n^2
Terms: 4 7 12 19
n^2 1 4 9 16
Difference = 3 3 3 3 3
So the answer is n^2 + 3.
Is the data set approximately periodic? If so, what are its period and amplitude?
Considering the given table and the periodicity concept, it is found that the data set is not periodic.
What is the period of a data-set?The period of a function is given by the distance between it's repetitions.
An example of a periodic data-set with a period of 3 would be 1,2,3,1,2,3,1,2,3,...
In this problem, looking at the table, it is found that there are no patterns of repetitions, that is, the number of cars washed do not follow a repeated pattern, hence the data set is not periodic.
More can be learned about the period of a data-set at https://brainly.com/question/27322869
I would love some help
Problem
Look at the image below.
Find the area of the parallelogram.
square units
Answer:
44
Step-by-step explanation:
base(b) = 11, height(h) = 8, Area of parallelogram = ? We know that, Area of parallelogram = 1/2 × b× h = 1/2 × 11 × 8 = 11 × 4 = 44 square units
The answer is 88
11x8 = 88 base times height !!!!