Answer:
(ab)² = 36
Step-by-step explanation:
Plug in 2 for a and 3 for b:
(2·3)²
Multiply 2 and 3:
6²
Square the number:
36
The original price of a bottle
of dish soap is $2. How much
will Sasha PAY if she buys it
during the sale when it is 50%
off?
Answer:
$1
Step-by-step explanation:
i hope i read it right
Answer:
1
Step-by-step explanation:
cuz half of 2 is 1
please help me for a question
Answer:
there is no question??
There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot?
Answer:
There are 64 trucks!
Step-by-step explanation:
Last year Mr Peterson had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year but he needs to buy more fencing to go around this years garden. How many more meters of fencing is needed for this years garden than last years?
Complete Question:
Last year Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters. This year he wants to make the garden three times as long and two times as wide.
Last year, Mr. Petersen had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year, but he needs to buy more fencing to go around this year’s garden.
How many more meters of fencing is needed for this year’s garden than last year’s?
Answer:
26 meters of fencing needed
Step-by-step explanation:
Given
Last Year:
[tex]Width = 5m[/tex]
[tex]Area = 20m^2[/tex]
This Year:
[tex]Length = 3\ times\ longer[/tex]
[tex]Width = 2\ times\ wider[/tex]
Required
Determine how many more meters is needed
Represent last year's length of Fence with L and last year's width with W
First, we need to calculate L
[tex]Area = L * W[/tex]
Where
[tex]Area = 20m^2[/tex]
[tex]W = 5m[/tex]
[tex]20m^2 = L * 5m[/tex]
Divide both sides by 5m
[tex]\frac{20m^2}{5m} = \frac{L * 5m}{5m}[/tex]
[tex]\frac{20m^2}{5m} = L[/tex]
[tex]L = \frac{20m^2}{5m}[/tex]
[tex]L = 4m[/tex]
So, we have that:
For Last Year
[tex]Length = 4m[/tex] and [tex]Width = 5m[/tex]
For this year:
[tex]Length = 3\ times\ longer[/tex]
[tex]Length = 3 * 4m[/tex]
[tex]Length = 12m[/tex]
[tex]Width = 2\ times\ wider[/tex]
[tex]Width = 2 * 5m[/tex]
[tex]Width = 10m[/tex]
So, for this year, we have:
[tex]Length = 12m[/tex] and [tex]Width = 10m[/tex]
Next, we calculate perimeter of fencing in both years.
[tex]Perimeter = 2 * (Length + Width)[/tex]
Last Year:
[tex]Perimeter = 2 * (4m + 5m)[/tex]
[tex]Perimeter = 2 * 9m[/tex]
[tex]Perimeter = 18m[/tex]
This Year:
[tex]Perimeter = 2 * (12m + 10m)[/tex]
[tex]Perimeter = 2 * 22m[/tex]
[tex]Perimeter = 44m[/tex]
To get the meters of fencing needed this year, we simply calculate the difference in the calculated perimeters.
[tex]Difference = 44m - 18m[/tex]
[tex]Difference = 26m[/tex]
Hence, there are 26 meters of fencing needed
A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
O 2y = 16x +14
O y = 8x - 7
O y = -8x + 7
O 2y = -16x - 14
The other equation could be y = 8x - 7
How to determine the other equation?The first equation is given as:
y = 8x + 7
For the system of equation to have no solution, then the equations in the system would have different constant values.
Take for instance:
y = 8x + b
Where:
b is a constant not equal to 7
From the options, we have:
y = 8x - 7
Notice that -7 and 7 are not the same
Hence, the other equation could be y = 8x - 7
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To prepare for a bake-off, Kent used 560 grams of flour each day for 2 weeks. How many kilograms did Kent use in those 2 weeks?
Answer:
7.840
Step-by-step explanation:
560 grams times the number of days
560×14=7840grams
1000grams = 1 kilogram soo
7840g=7.840kg
If {x) = 3x + 2, what is (5)?
You mean f(x) = 3x+2 and what is f(5)?
f(5) = 3(5)+2
f(5) = 15+2
f(5) = 17
So f(5) = 17
Describe how to round 3.987 to the nearest tenth.
Answer:
4
Step-by-step explanation:
You see the hunderth digit has a 8, so you round up. 0.9+0.1=1 so you add 1 to 3, so 3.987 rounded is 4
How did the National Woman Suffrage Association (NWSA) differ from the American Woman Suffrage Association (AWSA)?
Answer:
The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.
Answer:
C: The NWSA wanted to address the voting rights of both women and formerly enslaved people.
Step-by-step explanation:
The NWSA wanted to address and justify the rights of both former slaves and women, while the AWSA only wanted to either help women or former slaves, not simultaneously.
Cooper wrote checks on his checking account for $20 and $35. He also deposited $63 in the account. Which number describes the change in the balance of his account? A.$12 B.$8 C.$15
Answer:
the change is b 8. 63-55=8 35+20=55
find the radii of a circle 6.16ha
Answer:
88m
Step-by-step explanation:
area = 6.16msq
πrsq=6.16
22/7*rsq=6.16/100
22/7*rsq=616
rsq=616*7/22
rsq=4321/22
rsq=196
r=√196
r=14m
diameter=14*2=28m
radius=14m
circumfrence=2πr
=2*22/7*14
=44*2
=88m
Pls help thanks :)
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In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there is a weight limit of 2500 lb. Assume that the average weight of students, faculty, and staff on campus is 151 lb, that the standard deviation is 25 lb, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:
a. What is the expected value of the sample mean of their weights?
b. What is the standard deviation of the sampling distribution of the sample mean weight?
c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lb?
d. What is the chance that a random sample of 16 persons on the elevator will exceed the weight limit?
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
a
The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:
[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]
Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4
Answer:
x^2+2x-8
Step-by-step explanation:
x^2+2x-8 = (x+4)(x-2)
Answer: A. x^2 -2x -8
Step-by-step explanation:
Given the point and slope write the equation of the line (6, -6); slope = 5/6
Answer:
y=5/6x-11
Step-by-step explanation:
Slope intercept form: y=mx+b
With slope: y=5/6x+b
Replace x with 6 and y with -6
[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]
-6=5/6(6)+b
Simplify:
-6=5+b
Subtract 5 on both sides:
-11=b or b=-11
Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)
Hope this helps!
James went to the store and bought a pair of shoes on sale for $40.00. This week they were a regular price of $64.50. What was the percent discount that he bought the shoes for?
I need work shown.
Answer:
A. 62%
Step-by-step explanation:
64.50x = 40
x = 0.62015 or 62%
This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.
How is 2+ (2) similar to adding 2+2 how is different explain your answer
Answer:
2+2 is 4-1=3 quick maths
Step-by-step explanation:
Answer:
2+(2) is the same to adding 2+2 because the "(" " )" just mean the you have to add the 2 + 2 just like----- 2+2
This is statistics. Please answer fast
Answer:
This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.
Step-by-step explanation:
z = (x - mu)/sd
z = (2625 - 2600)/50 = 25/50 = 0.5.
Consulting the z-table, P(z <= 0.5) = 0.6915.
P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.
I hope this helped! <3
Three points on the function are (-1, 1) (0,3) and blank
Answer:
well assuming this is a normal function, the next point would be (1,5)
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution of this particular variable is very right skewed.(a) Suppose we let (X-bar) be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that (X-bar) is less than 2?(b) Now let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the probability that X is less than 2?
Answer:
The probability that sample mean is less than 2 is 0.1423.
Step-by-step explanation:
Let X denote the number of accidents per week at a hazardous intersection.
It is provided that the mean and standard deviation of X are, μ = 2.2 and σ = 1.4.
(a)
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is not large enough, i.e. n = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
And since the distribution of X is not specified, the probability cannot be computed.
(b)
In this case, the sample size is large enough, i.e. n = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
Compute the probability that sample mean is less than 2 as follows:
[tex]P(\bar X<2)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{2-2.2}{1.4/\sqrt{56}})\\\\=P(Z<-1.07)\\\\=0.14231\\\\\approx 0.1423[/tex]
Thus, the probability that sample mean is less than 2 is 0.1423.
Which algebraic expression represents “Sarah has fives times as much homework today as yesterday”?
5 + h
5 h
h minus 5
StartFraction h Over 5 EndFraction
Answer:5h
Step-by-step explanation: i just did the quiz
Given that R= 4x +6y find x when y= 4 and R=11
Answer:
The value of x:
[tex]x=-\frac{13}{4}[/tex]Step-by-step explanation:
Given the equation
[tex]R=4x+6y[/tex]
substituting the values y=4 and R=11
[tex]R=4x+6y[/tex]
[tex]11=4x+6\left(4\right)[/tex]
[tex]11=4x+24[/tex]
[tex]11-24=4x[/tex]
switching the sides
[tex]4x=11-24[/tex]
Subtract the numbers: 11-24=-13
[tex]4x=-13[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}=\frac{-13}{4}[/tex]
[tex]x=-\frac{13}{4}[/tex]
Therefore, the value of x:
[tex]x=-\frac{13}{4}[/tex]A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at random . How many possible possible outcomes are there?
° 3
° 5
° 6
° 14
HELP ME ASAP PLZ
The anser is 14 I guess because there are 14 marbles in total giving you 14 outcomes
h(x) = x2 + 3x - 2; 12 - h(7)
Solve
simplify this complex fraction 1 2/3 divided by 2 1/9
Answer:
[tex]\frac{5}{3} \times\frac{9}{19}[/tex]
Step-by-step explanation:
In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)
[tex]1\frac{2}{3} \div2\frac{1}{9}[/tex]
Convert into improper fractions:
[tex]1\frac{2}{3} = 3\times1+2=\frac{5}{3}[/tex]
[tex]2\frac{1}{9} =9\times2+1=\frac{19}{9}[/tex]
(Remember to keep the denominators the same)
[tex]\frac{5}{3} \div\frac{19}{9}[/tex]
Now use KCF
[tex]\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}[/tex]
[tex]= \frac{5}{3} \times\frac{9}{19}[/tex]
Hope this helps.
Eight sports fans were asked to count the number of baseball
caps and the number of basketball jerseys in their collection.
Create a scatter plot that represents the data that is shown in the
table. The x-axis represents number of baseball caps and the y-
axis represents the number of basketball jerseys.
Answer:
what grade are you in?
Step-by-step explanation:
Which product matches the shading on the grids?
Answer:
I believe it is D. not sure tho
What is the equation of the line that passes through the point (-3. 4) and has a
slope of 1/3?
What value of a makes the following equation true?
a−8a=210
Answer:
a=-30
Step-by-step explanation:
The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the
coordinates of B?
Answer:
(8,1)
Step-by-step explanation:
(8,1) you have to add do to the same to B
Pont B is located at coordinates at the line AB (8, 1)
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7)
From the general formula of midpoints of a line
coordinates of midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)
where,
(x₁, y₁) are the coordinates of A
(x₂, y₂) are the coordinates of B
And in our case Coordinates of the midpoint are (6, -3)
Thus,
6 = (4 + x₂)/2
x₂ = 8
-3 = (-7 + y₂)/2
y₂ = 1
therefore, the coordinates of Pont B at line AB are (8, 1)
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