Answers
Answer:
L = 25
Step-by-step explanation:
Let's call the Length x and width x - 15 since the width is 15 less than length
Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides
x + x + (x - 15) + (x - 15) = 70 add like terms
4x - 30 = 70 add 30 to both sides
4x = 100 divide both sides by 4
x = 25
Answer :
Given :
The shape of the yard is rectangularWidth is 15 yards less than the lengthTotal fencing required is 70 feetTo find :
Appropriate equation DimensionsSolution :
We know that for fencing we need to find the perimeter ,
Perimeter of a rectangle => 2 ( length + breadth )Let us assume the value of length be x yards
Width = x - 15 yardsSolving the question we get ,
2 ( x + ( x - 15 ) ) = 702 ( x + x - 15 ) = 702 ( 2x - 15 ) = 704x - 30 = 704x = 100[tex]\sf\implies\:x\:=\:\dfrac{100}{4}[/tex]x = 25Length = 25 yards
Breadth = 25 - 4
21 yardsRelated Questions
Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.8. They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. What is the probability that the students will have their homework checked and take a pop quiz on a randomly chosen day?
0.48
0.54
0.72
0.80
Answers
Answer:
A) 0.48
Step-by-step explanation:
The probability that Mrs. Barnes does not check homework if the students take a pop quiz will be 0.77.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.
They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.
Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be =
P = 0.42 x 0.6 + 0.58 x 0.9
P = 0.252 + 0.522
P = 0.774 ≈ 0.77
More about the probability link is given below.
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2/3 + 3/4
but i need to find a common denominator
Answers
Answer:
46
Step-by-step explanation:
the common one is 2
Answer:
2/3 plus 3/4 is 17/12.
Step-by-step explanation:
this is because the common denominator is 12, and once you add it all you get 17/12 :))
What is the value of x? enter your answer in the box.
Answers
Answer:
X = 20
Step-by-step explanation:
3x + 50 = 6x -10
3x - 6x = -10 - 50
-3x = -60
x = -60/-3
x = 20
Answer:
x = 20
Step-by-step explanation:
Vertically opposite angles are congruent.
6x - 10 = 3x + 50
6x = 3x + 50 + 10
6x = 3x + 60
6x - 3x = 60
3x = 60
x = 60/3
x = 20
Write a word expression for 7 + 4a.
Answers
Answer:
The answer is Seven plus Four A.
98.643 ÷ 0.04
Round your answer to the nearest hundredth.
Answers
Answer:
7466.07
Step-by-step explanation:
Find the number in the hundredth place and look one place to the right for the rounding digit . Round up if this number is greater than or equal to and round down if it is less than.
btw you should try out
We know that 65% of all Americans prefer chocolate over vanilla ice cream. Suppose that 1000 people were randomly selected. What is the standard error of the sample proportion
Answers
its not 65% americans like all
The standard error of the sample proportion is 0.0002275
What is the standard error of the sample proportion?The standard error of a proportion p in a sample of size n is given by:
[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]
Now it is given that,
Number of people selected is 1000.
So, sample size, n 1000
Americans prefer chocolate = 65%
Thus, proportion, p = 0.65
So, standard error of a proportion is given as,
[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]S= \sqrt{\frac{0.65(1-0.65)}{1000}}[/tex]
[tex]S= \sqrt{\frac{0.65(0.35)}{1000}}[/tex]
[tex]S= \sqrt{\frac{0.2275}{1000}}[/tex]
[tex]S= 0.0002275[/tex]
this is the required standard error of the sample proportion.
Thus, the standard error of the sample proportion is 0.0002275.
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Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right.
a.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
b.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
c.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
d.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.
Answers
Answer:
B
Step-by-step explanation:
write a definition for a unite rate
Answers
Answer:
Step-by-step explanation:
I wish I knew
helpppppp now plssss
Answers
Answer:
translation of four units up
Step-by-step explanation:
Answer:
A. translation of 4 units up
Step-by-step explanation:
Take one point from each line, for example:
f(x): (0, 1)g(x): (0, 5)The y-values of these points are 5 points apart, therefore, f(x) was translated 4 units up to get g(x).
Substance X is found in the bloodstream of humans. A random sample of 75 males had a mean content of 28 ppm of Substance X in their blood. A random sample of 50 females had a mean content of 33 ppm of Substance X in their blood. The population standard deviations for males and females are known to be 14.1 ppm and 9.5 ppm, respectively. Use the 88.12% degree of confidence. An appropriate set of null and alternative hypotheses to test whether males and females have the same amount of Substance X in their blood is:
Answers
Answer:
H0: u1 - u2 = 0
H1: u1 - u2 ≠ 0
Step-by-step explanation:
This question requires us to state the hypothesis to be used for this test to know if males and females have the same amount of substance X. I have gone further to also calculate the test statistics too.
Null hypothesis:
H0: u1 - u2 = 0
Alternative hypothesis:
H1: u1 - u2 ≠ 0
X1 = 28, sd1 = 14.1, n1 = 75
X2 = 33, sd2 = 9.5, n2 = 50
We have a 2 tailed test
Alpha = 1-0.8812
= 0.1188
Critical value = 1.56
If z<-1.56 or z>1.56
Reject null hypothesis
Test statistic
= (28-33)/14.1²/75 + 9.5²/50
= -2.37
Therefore we reject the H0 because -2.37 is less than -1.56
Please anerw the pic attached below!
Answers
Answer:
x = 27
Step-by-step explanation:
m<X + m<XWY + m<XYW = 180 (measures of <s of triangle add to 180)
m<X = 90
90 + m<XWY + m<XYW = 180
m<XWY + m<XYW = 90 Equation 1
m<XWY + m<VWY = 180 (linear pair) Eq. 2
m<XYW + m<ZYW = 180 (linear pair) Eq. 3
Add Eqs 2 & 3
m<XWY + m<VWY + m<XYW + m<ZYW = 360
m<XWY + m<VWY + m<XYW + m<ZYW = 360
According to Eq. 1, m<XWY + m<XYW = 90.
90 + m<XYW + m<ZYW = 360
Also, m<VWY = 6x & m<ZYW = 4x
90 + 6x + 4x = 360
10x = 270
x = 27
Ms. Rogers asked 15 piano students how many hours of practice they put in each week. The list shows the data she recorded.
6,6,7,7,7,8,8,8,8,8,9,9,9,10,10
Which statement is true?
A.The data is skewed to the left.
B. The data is skewed to the right.
C. The data is symmetrical.
D. The skew of the data cannot be determined.
Answers
Answer:
D
Step-by-step explanation:
A student that goes to class can not put 10 hours of practice per day.
Answer:
The data is skewed to the left.
Step-by-step explanation:
if k = am+3mx what is the value of m in terms of
x
Please help
Answers
Answer:
k = am + 3mx
Group by taking common factor m
k = m(a + 3x)
Divide both sides by (a +3x)
k / (a+3x) = m
Then, m = k / (a+3x). This is the answer
Step-by-step explanation:
Find the line's slope and a point on the line. y-2=1/3(x+4)
slope:
point on the line:
Answers
m is slope
answer: slope: 1/3
Point on the line: (-4, 2)
JANITIA IS 15 YEARS OLD AND HER BROTHER IS 5 YEARS. WHAT IS THE RATIO OF JANTIA AGE TO HER BROTHER AGE
PLEASE ANSWER MY QUESTION
Answers
Answer:
3:1
Step-by-step explanation:
15:5 = 3:1
Answer:
3:1
Step-by-step explanation:
15:5
3:1
i think this is the answer
Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is One-half. What is the probability that the next child born to the same familiy will also be a girl?
a.
One-half
b.
One-fourth
c.
StartFraction 1 Over 8 EndFraction
d.
StartFraction 1 Over 12 EndFraction
Answers
Answer:
B
Step-by-step explanation:
EDG2021
Which expression is equivalent to 6(2x + 4)?
A) 12 + 24
B) 12x + 4
C 12x + 24
D) 8x + 10
Answers
Using the diagram, find the measure of the angle indicated in bold.
A 95
B 110
C 120
D 130
Answers
Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answers
Answer:
2/15.99 = 0.34 euros is the right answer.
Please help me on this question
Answers
Answer:
B
Step-by-step explanation:
what is 6x+2y=18 in intercept form?
Answers
Answer:
y = -3x + 9
Step-by-step explanation:
6x + 2y = 18
move 6x to the right of the equation by subtracting on both sides
2y = -6x + 18
then to single out the 'y' divide by 2 on both sides
y = -3x = 9
Hope this helps <3
Malloy had some money to give to his five
children. He first took $5 for himself and then
evenly divided the rest among his children.
Each child received S3 How much money did
he start with?
Answers
Answer:
$20
Step-by-step explanation:
he gave 5*3=15 dollars to his children
he took 5
add together to get 20
Answer:
$20
Step-by-step explanation:
$3 x 5 = $15
$15 + $5 = $20
plz i need help with this
Answers
Answer:
congruence, corresponding,sum of 180
which of the following expression eqaul to -4x^2-36
Answers
Answer:
2hole square and six whole square (a+b) (a-b) finish...
Find the area of the curve y= f(x) = x between x = 5 and x = 10
Answers
Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]
Step-by-step explanation:
Finding the area of the curve y = f(x) = x between x = 5 and x = 10Using the Area formula
[tex]A=\int _a^b\:f\left(x\right)dx[/tex]
As the area of curve lies between x = 5 and x = 10
so
a = 5, b = 10so the integral expression becomes
[tex]A=\int _5^{10}xdx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5[/tex]
[tex]=\left[\frac{x^2}{2}\right]^{10}_5[/tex]
[tex]=\frac{1}{2}\left[10^2-5^2\right][/tex]
[tex]=\frac{1}{2}\cdot \:75[/tex]
[tex]=\frac{75}{2}[/tex]
Therefore, area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]
Supervisor: "I see that 1000 calls were sent to your extension this month. 15% of those calls were not answered, which means that you did not answer __________ calls this month."
Answers
Step-by-step explanation:
850 calls
1000:100=10
1%=10
10×85=850
Discount is the reduction in value. The total number of calls not answered this is 150 calls
Discount and percentagesGiven the following
Total number of calls = 1000 calls
If 15% of those calls were not answered, the total calls that were not answered is given as:
Total call not answered . = 0.15 * 1000
Total call not answered = 150 calls
Hence the total number of calls not answered this is 150 calls
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4x + 16 factor out gcf
Answers
Answer:
4(x+4)
Step-by-step explanation:
To factor out the gcf we need to find the greatest common factor. Then we multiply it be the other divided part.
31x m=217 what does the m mean i cant seem to figure that out.
Answers
Answer:
7?
Step-by-step explanation:
31xm=217
m=217/31
m=7
fill in the blanks polynomials
Answers
Step-by-step explanation:
2 degrees
1 terms..
hope it helps you...
take care buddy....
idk what this answer would be help please!
Answers
Explanation:
For Science center, 1 ticket = $36.75/3 = $12.25
i)So for 12 tickets = $12.25 X 12 = $147
For zoo, 1 ticket = $51/4 = $12.75
ii) So for 12 tickets = $153
Difference of i and ii,
$153-$147 = $6
So, they will save $6 by choosing science center.
Hope thus helps:)