Answer:
4over27
Step-by-step explanation:
8over9 divided by 6 equals 8over54 which simplifies to 4over27
Answer:
4 over 27
Step-by-step explanation:
she spent 6 day reading, there 7 day in a week so we have to change it to 7 and four pages.
A store that sells skis buys them from a manufacturer at a wholesale price of $87 The store's markup rate is 50% A. What price does the store charge its customers for the skis? B. What percent of the original price is the final price? C. What is the percent INCREASE from the original price to the final price?
Answer:
A. $130.50
B. 150%
C. 50%
Step-by-step explanation:
First, find 50% of 87 and add it to find the new price.
87 x 0.5 = 43.5
87 + 43.5 = 130.5
Then, find the percent by doing 130.5 ÷ 87, which is 150%
Calculate the percent increase by doing (130.5-87) ÷ 87, which is 50%
Answer:
see below
Step-by-step explanation:
First find the markup
87* 50%
87*.50
43.50
Add this to the wholesale price
87+43.50 =130.50
This is what they charge the customer
This is 150% percent of the wholesale price
100% + 50% = 150%
To find the percent increase
Take the new price and subtract the wholesale price
Then divide by the wholesale price
(130.50-87)/87 =50 % increase
Solve the equation for the indicated variable.
660w
C=
for w
h2
W=
(Simplify your answer.)
The first step is to multiply both sides by h^2. Afterwards, divide both sides by 660 to fully isolate w.
c = 660w/(h^2)
ch^2 = 660w
660w = ch^2
w = (ch^2)/660 is the answer
which fraction is equivalent to 5/12+1/4
Answer:
2/3
Step-by-step explanation:
5/12+1/4
Make the fractions have the same denominator.
5/12 + 1×3/4×3
5/12 + 3/12
Add the fractions.
(5+3)/12
8/12
Simplify.
2/3
Answer:
[tex] = \frac{2}{3} \\ [/tex]
Step-by-step explanation:
[tex] \frac{5}{12} + \frac{1}{4} \\ \frac{5 + 1 \times 3}{12} \\ \frac{5 + 3}{12} \\ = \frac{8}{12} \\ = \frac{2}{3} [/tex]
Angie and Irene had the same amount of money at first.At a shopping mall, Angie spent $2595 while Irene spent $297.Irene then had thrice as much money as Angie. How much money did Irene have at first?
Answer:
Irene had $3744 at first.
Step-by-step explanation:
Let Angie and Irene had the money initially = $a
At a shopping mall Angie spent money = $2595
Money left with Angie = $(a - 2595)
Similarly, Irene spent the money = $297
Money left with Irene = $(a - 297)
Money left with Irene was thrice as much as Angie,
(a - 297) = 3(a - 2595)
a - 297 = 3a - 7785
3a - a = 7785 - 297
2a = 7488
a = [tex]\frac{7488}{2}[/tex]
a = $3744
Therefore, Irene had $3744 at first.
Answer:
$3746
Step-by-step explanation:
A=2595. I=2595
(x-293)=(x-2595)
X-293=3x-7785
-293+7785=2x
7492/2=x
So. x=3746
A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. (a) Compute the probability that 2 or fewer will withdraw. If required, round your answer to four decimal places. (b) Compute the probability that exactly 4 will withdraw. If required, round your answer to four decimal places. (c) Compute the probability that more than 3 will withdraw. If required, round your answer to four decimal places. (d) Compute the expected number of withdrawals.
Answer:
a) 0.206 = 20.6% probability that 2 or fewer will withdraw.
b) 0.2182 = 21.82% probability that exactly 4 will withdraw.
c) 0.5886 = 58.86% probability that more than 3 will withdraw.
d) The expected number of withdrawals is 4.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they withdraw without completing the introductory statistics course, or they do not. Each student is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of its students withdraw without completing the introductory statistics course.
This means that [tex]p = 0.2[/tex]
Assume that 20 students registered for the course.
This means that [tex]n = 20[/tex]
(a) Compute the probability that 2 or fewer will withdraw.
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115[/tex]
[tex]P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576[/tex]
[tex]P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0115 + 0.0576 + 0.1369 = 0.206[/tex]
0.206 = 20.6% probability that 2 or fewer will withdraw.
(b) Compute the probability that exactly 4 will withdraw.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{20,4}.(0.2)^{4}.(0.8)^{16} = 0.2182[/tex]
0.2182 = 21.82% probability that exactly 4 will withdraw.
(c) Compute the probability that more than 3 will withdraw.
Either less than 3 withdraw, or more than 3 withdraw. The sum of the probabilities of these events is 1. So
[tex]P(X \leq 3) + P(X > 3) = 1[/tex]
We want P(X > 3). So
[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]
In which
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115[/tex]
[tex]P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576[/tex]
[tex]P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369[/tex]
[tex]P(X = 3) = C_{20,3}.(0.2)^{3}.(0.8)^{17} = 0.2054[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0115 + 0.0576 + 0.1369 + 0.2054 = 0.4114[/tex]
[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.4114 = 0.5886[/tex]
0.5886 = 58.86% probability that more than 3 will withdraw.
(d) Compute the expected number of withdrawals.
The expected value of the binomial distribution is:
E(X) = np
In this question:
E(X) = 20*0.2 = 4
The expected number of withdrawals is 4.
The driving distance from Chicago to San Francisco is 2,142 miles. The Hathaway family left Chicago on Monday morning, December 6. They averaged 50 miles an hour and drove 6 hours each day. On what day and date did they reach San Francisco?
Answer:
They arrive on Monday, December 13th
Step-by-step explanation:
First, we know that this family must drive a total of 2,142 miles.
They average 50 miles per hour and drive 6 hours each day, thus we can see that they drive (50)(6)=300 miles per day.
Now, to know how many days it will take them to drive the total of 2,142 miles we are going to divide the total amount of miles between the number of miles driven per day:
2,142÷300= 7.14
Thus, it takes them 7.14 days to drive 2,142 miles.
If we round this (since the number is greater than 7 this would mean it takes them more than 7 days and they would stop at 7 for the day) to the next digit, we would have that it will take them 8 days to get to San Francisco.
Thus, since they start on December 6th (day 1), December 7th would be day 2 and following this pattern we would have that the eighth day would be December 13th.
Now, since the days repeat every 7 days and we now that December 6th was monday, we would have that the day they arrive to San Francisco (December 13th) is monday too.
There are 500 people in a building. 20% of half of them went out. 15% of those who went out came back in. How many people are in the building now?
Answer:
415people
Step-by-step explanation:
20%of250=100people
15%of the 100people=15people
So 100 went out remaining(500-100)400
Then 15 returned=400+15
415
Answer:
458 people in the building now.
Step-by-step explanation:
20%x500/2 = 20% x 250=50
15% x 50 = 7.5
7.5 + (500 - 50) =457.5 =458people.
Tell me if it's correct plz.
Hope this helps..
What is fo)?
O O only
0 -6 only
0-2, 1, 1, and 3 only
0 -6, -2, 1, 1, and 3 only
Answer:
-6 only
Step-by-step explanation:
f(0) is the value of y when x=0. This is the graph of a 4th-degree polynomial, so is a function. There is only one y-value for x=0. That is where the graph crosses the y-axis, at y = -6.
f(0) = -6 . . . . only
A national college researcher reported that 65% of students who graduated from high school in 2012 enrolled in college. Twenty nine high school graduates are sampled. Round the answers to four decimal places.
(a) What is the probability that exactly 17 of them enroll in college? The probability that exactly 17 of them enroll in college is_______
(b) What is the probability that more than 14 enroll in college? The probability that more than 14 enroll in college is_______ .
(c) What is the probability that fewer than 11 enroll in college? The probability that fewer than 11 enroll in college is_______ .
(d) Would it be unusual if more than 24 of them enroll in college? It (Choose one) be unusual if more than 24 of them enroll in college since the probability is ________.
Answer:
a) The probability that exactly 17 of them enroll in college is 0.116.
b) The probability that more than 14 enroll in college is 0.995.
c) The probability that fewer than 11 enroll in college is 0.001.
d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.
Step-by-step explanation:
We can model this with a binomial distribution, with n=29 and p=0.65.
The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:
[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{29}{k} 0.65^{k} 0.35^{29-k}\\\\\\[/tex]
a) The probability that exactly 17 of them enroll in college is:
[tex]P(x=17) = \dbinom{29}{17} p^{17}(1-p)^{12}=51895935*0.0007*0=0.116\\\\\\[/tex]
b) The probability that more than 14 of them enroll in college is:
[tex]P(X>14)=\sum_{15}^{29} P(X=k_i)=1-\sum_{0}^{14} P(X=k_i)\\\\\\P(x=0)=0\\\\P(x=1)=0\\\\P(x=2)=0\\\\P(x=3)=0\\\\P(x=4)=0\\\\P(x=5)=0\\\\P(x=6)=0\\\\P(x=7)=0\\\\P(x=8)=0\\\\P(x=9)=0\\\\P(x=10)=0.001\\\\P(x=11)=0.002\\\\P(x=12)=0.005\\\\P(x=13)=0.013\\\\P(x=14)=0.027\\\\\\P(X>14)=1-0.005=0.995[/tex]
c) Using the probabilities calculated in the point b, we have:
[tex]P(X<11)=\sum_0^{10}P(X=k_i)\approx0.001[/tex]
d) The probabilities that more than 24 enroll in college is:
[tex]P(X>24)=\sum_{25}^{29}P(X=k_i)\\\\\\ P(x=25) = \dbinom{29}{25} p^{25}(1-p)^{4}=23751*0*0.015=0.007\\\\\\P(x=26) = \dbinom{29}{26} p^{26}(1-p)^{3}=3654*0*0.043=0.002\\\\\\P(x=27) = \dbinom{29}{27} p^{27}(1-p)^{2}=406*0*0.123=0\\\\\\P(x=28) = \dbinom{29}{28} p^{28}(1-p)^{1}=29*0*0.35=0\\\\\\P(x=29) = \dbinom{29}{29} p^{29}(1-p)^{0}=1*0*1=0\\\\\\\\P(X>24)=0.007+0.002+0+0+0=0.009[/tex]
Lataycia has 188 but she is spending 14 per week.
Answer:
90
Step-by-step explanation:
14×7=98
188-98=90 so she had 90 left
Answer:
90
Step-by-step explanation:
14×7=98
188-98=90 so she had 90 left
If a circle was cut into 8 equal pieces, what fraction of the circle would be each piece?
Answer:
1/8
Step-by-step explanation:
there are 8 pieces therefore the numerator would be 1 and the denominator 8.
HELPPP The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year. Which exponential growth model shows the club's membership in terms of t, the number of years since 2001? s since 2001?
A. y=20(36)t
B. y=36(0.2)t
C. y=36(1.2)t
D. y=36(20)t
Answer:
C. y=36(1.2)t
Step-by-step explanation:
The number of members in the Club in t years after 2001 is given by an equation in the following format:
[tex]y = y(0)(1+r)^{t}[/tex]
In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.
The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.
This means that [tex]y(0) = 36, r = 0.2[/tex]
So
[tex]y = y(0)(1+r)^{t}[/tex]
[tex]y = 36(1+0.2)^{t}[/tex]
[tex]y = 36(1.2)^{t}[/tex]
The correct answer is C.
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. The point estimate of the mean content of the bottles is:__________.
Select one:
a. 0.02
b. 0.22
c. 121
d. 4
Answer:
option D is correct, 4 ounces.
Step-by-step explanation:
In this case we have a random sample of 121 cologne bottles that showed an average content of 4 ounces.
The point estimate of the mean content of the bottles is average value.
What 4 ounces means is the correct answer since this is the mean, therefore the option D is correct
What’s the correct answer for this?
Answer:
YT AND RQ
Step-by-step explanation:
A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than 10 minutes, the customer will be upset. Find the probability that a randomly selected customer takes more than 10 minutes if the average is 7.45 minutes with a standard deviation of 1.52 minutes.
Answer:
4.65% probability that a randomly selected customer takes more than 10 minutes
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 7.45, \sigma = 1.52[/tex]
Probability that a customer takes more than 10 minutes:
This is 1 subtracted by the pvalue of Z when X = 10. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10 - 7.45}{1.52}[/tex]
[tex]Z = 1.68[/tex]
[tex]Z = 1.68[/tex] has a pvalue of 0.9535
1 - 0.9535 = 0.0465
4.65% probability that a randomly selected customer takes more than 10 minutes
what is a unit rate?
Answer:
5
Step-by-step explanation:
Answer:
the answer is-
Step-by-step explanation:
When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
HOPE IT HELPS!!!
What is the missing value from the set of data if the mean is 4?
{5,2,_,2,4,8}
Answer: The missing value from the data set is 4.
Step-by-step explanation: Let's put it from least to greatest to figure it out...
2, 2, (4, 4,) 5, 8,
It would have to be 4, because 8 divided by 2 will equal 4. And because there's an even amount of numbers we have to add two numbers then divide it by 2.
4 + 4 = 8
8 ÷ 2 = 4
The mean is 4, and the missing value from the data set is 4.
I hope this helps!
Solve the system of equations. 3x + 4y = 8 x + 2y = 4
Answer:
x=0, y=2
Step-by-step explanation:
3x+4y=8
x+2y=4
Multiply the second equation by 2:
2x+4y=8
Subract it from the first equation:
x=0
y=2
Hope this helps!
NEED HELP ASAP!!!!
The steps below show the work of a student used to calculate the number of yards in 6,436 meters.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Step 1: 6,436 meters multiplied by conversion factor 1 mile over 1,609 meters equals 4 miles
Step 2: conversion factor of 1,760 yards over 1 mile divided by 4 miles equals 440 yards
Step 3: 440 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
How can the error in the student's work be corrected? (1 point)
a
The 6,436 meters and the 1,609 meters in Step 1 should be switched.
b
The 1 mile and the 1,609 meters in Step 1 should be switched.
c
The conversion factor should be multiplied in Step 2 instead of being divided.
d
The conversion factor should be added in Step 2 instead of being divided.
Answer:
You usually wouldn't divide lengths
Step-by-step explanation:
What’s the correct answer for this?
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the formula for length of arc is :
[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]
Answer:
B
Step-by-step explanation:
It could also be
[tex] \frac{\pi \times r \times m}{180} [/tex]
What’s the correct answer for this?
Answer:
x = 4
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
4x = 2 × 8 = 16 ( divide both sides by 4 )
x = 4
Please answer this question !! 20 points and brainliest !! Thank u !!
Answer:
Step-by-step explanation:
The system of equations (a) is the correct one for this situation. We must now solve this system for x and y, which are the unit costs.
Multiplying the 2nd equation by (-3/2) yields -12x - 18y = -168.
Now eliminate x by combining the two equations
12x + 5 y = 116
-12x -18y = - 168
-------------------------
-13y = -52, or y = 4.
If y = 4 then 12x + 5y = 116, or
12x +5(4) = 116, or
12x + 20 = 116, or
12x = 96, or x = 8
Roller pens are $8/dozen and ball point pens are $4 per dozen.
I think it’s A:
Cause it is what it is
Four different positive integers have a product of 110.
What is the sum of the four integers?
Given:
Four different positive intergers as a product of 110
To find:
The sumnof the four numbers whose product is 110
Solution:
1) To find the number we have to find the prime factorization of the given number 110
2) Prime factorization of 110 is
110 = 1×2 × 5 = 11
3) So the four numbers whose product is 110 are 1,2,5 and 11
4) The sum of number's are
1+2+5+11=19
SO THE FINAL ANSWER IS 19find a in a=6b if b=2
Answer:
a=12
Step-by-step explanation:
if a=6b
and b=2
a=2×6
a=12
Identify the table of values which represents the function y=x+2
Answer:
Option 1.
Step-by-step explanation:
y = x + 2
Put x as 1, 2 and 3 to find y.
y = (1) + 2
y = 3
y = (2) + 2
y = 4
y = (3) + 2
y = 5
When x = 1, y = 3.
When x = 2, y = 4.
When x = 3, y =5.
The values that represent the function is the first table.
what is the solution of this equation 4(x-8)+10=-10
Start by subtracting 10 from both sides.
This gives us 4x - 32 = -20.
Now add 32 to both sides to get 4x = 12.
Now divide both sides by 3 to get x = 3.
Use the function rule f(x)=x^2
Find f(2.5)__
Answer:
6.25
Step-by-step explanation:
f(x)=x^2
f(2.5) = (2.5)^2
=6.25
Answer: 6.25
Step-by-step explanation: Notice that f is a function of x.
So we want to find f(2.5).
We find f(2.5) by plugging 2.5 in for x
everywhere that x appears in the function.
So we have f(2.5) = (2.5)².
(2.5)² is 6.25.
So our answer is 6.25.
A collection of 36 coins consists of nickels, dimes and quarters. There are three fewer quarters than nickels and six more dimes than quarters. How many of each kind of coin are there?
Answer:
9 quarters, 12 nickels, and 15 dimes.
Step-by-step explanation:
Let's start by naming the number of quarters x.
That means that the number of nickels is x+3.
(There are three fewer quarters than nickels)
The number of dimes would be x+6.
(There are six more dimes than quarters)
We know the total number of coins is 36.
We can set up an equation.
quarters+nickels+dimes=36
x+x+3+x+6=36
Combine like terms.
3x+9=36
Subtract 9 from both sides.
3x=27
Divide both sides by 3.
x=9
There are 9 quarters.
Use given info to find the number of other coins.
9+3=12
There are 12 nickels.
9+6=15
There are 15 dimes.
Annie was told that her math test score was 3 standard deviations below the mean. If test scores were approximately normal with μ=99 and σ=4, what was Annie's score? Do not include units in your answer. For example, if you found that the score was 99 points, you would enter 99.
Answer:
[tex]X \sim N(99,4)[/tex]
Where [tex]\mu=99[/tex] and [tex]\sigma=4[/tex]
We want to find the Annie's score takign in count that the score is 3 deviations below the mean, so then we can find the value with this formula:
[tex] X = \mu -3\sigma[/tex]
And replacing we got:
[tex] X = 99 -3*4 = 87[/tex]
So then the Annie's score would be 87
Step-by-step explanation:
Let X the random variable that represent the test scores of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(99,4)[/tex]
Where [tex]\mu=99[/tex] and [tex]\sigma=4[/tex]
We want to find the Annie's score takign in count that the score is 3 deviations below the mean, so then we can find the value with this formula:
[tex] X = \mu -3\sigma[/tex]
And replacing we got:
[tex] X = 99 -3*4 = 87[/tex]
So then the Annie's score would be 87
Answer: 87
Step-by-step explanation:
We can work backwards using the z-score formula to find the x-value. The problem gives us the values for z, μ and σ. So, let's substitute these numbers back into the formula:
z−3−1287=x−μσ=x−994=x−99=x
We can think of this conceptually as well. We know that the z-score is −3, which tells us that x is three standard deviations to the left of the mean, 99. So we can think of the distance between 99 and the x-value as (3)(4)=12. So Annie's score is 99−12=87.
5 Samir wants to work out the cost of the tiles needed to replace a roof.
The roof has 4 identical faces.
Each face is a triangle.
Each triangle has a base length of 7.6 m and a height of 4.8 m.
Samir has this information,
roof tiles
1 pack of tiles covers 13.8 m² (including overlaps)
each pack costs £716.10
Answer:
Step-by-step explanation:
Since the roof has 4 identical faces and each face is a triangle, we would determine the area of each face of the triangle by applying the formula,
Area of triangle = 1/2 × base × height
Area of each triangular face = 1/2 × 7.6 × 4.8 = 18.24m²
Area of the 4 faces = 4 × 18.24 = 72.96 m²
Since 1 pack of tiles covers 13.8 m², the number of packs needed to cover 72.96 m² is
72.96/13.8 = 5.29 packs
Since samir can only buy whole packs of these tiles, the number of packs of tiles that he needs to buy would be 6.
If 1 pack costs £716.1, then the total cost of the tiles needed for the 4 faces of this roof is
6 × 716.1 = £4296.6
