Nella and Lydia are hiking 15 miles today. After every 0.5 mile, they will stop and rest. How many times will they rest during the hike? 15 miles divided by 0.5
Answer: 30
Step-by-step explanation:
By dividing 15 miles by 0.5 miles, we find that there are 30 segments. Since Nella and Lydia do not rest at the start, they take one rest less than the number of segments, resulting in 29 rests during their hike.
Explanation:The student is trying to determine the number of times Nella and Lydia will rest during a 15 mile hike if they stop after every 0.5 mile. The calculation involves dividing the total distance (15 miles) by the distance between rests (0.5 miles).
To find the number of rests, we perform the following calculation:
Divide 15 miles by 0.5 miles to find the number of segments in the hike.15 miles ÷ 0.5 miles per rest = 30 rests.However, we need to consider that they do not rest at the start, only after each 0.5 mile. Hence, the total number of rests would be one less than the total number of segments.
30 segments - 1 = 29 rests.
Therefore, Nella and Lydia will rest 29 times during their hike.
Two insurance policies, G and H, can each only submit one claim in a given month. For insurance policy G, there is a 45% chance that no claims are made in the coming month. Otherwise, the loss amount follows an exponential distribution with a mean of 5. For insurance policy H, there is a 35% chance that no claims are made in the coming month. Otherwise, the loss amount follows an exponential distribution with a mean of 9. For both policies, there is a deductible of 2 and they only reimburse 80% of the amount that exceeds the deductible. Calculate the difference between the expected reimbursements of the two policies for a given month.
To calculate the difference between the expected reimbursements of insurance policies G and H for a given month, we need to find the expected reimbursement for each policy and then take the difference of the two values.
Explanation:To calculate the difference between the expected reimbursements of insurance policies G and H for a given month, we need to find the expected reimbursement for each policy and then take the difference of the two values.
For policy G, there is a 45% chance of no claims, in which case the reimbursement is 0. If a claim is made, the loss amount follows an exponential distribution with a mean of 5. We need to find the expected value of the reimbursement in this case. Let X be a random variable representing the loss amount. The expected reimbursement for policy G is then given by:
Expected Reimbursement for Policy G = 0.45(0) + 0.55(0.8)(E(X) - 2)
Similarly, for policy H, there is a 35% chance of no claims and a 65% chance of a claim with a loss amount following an exponential distribution with a mean of 9. Let Y be a random variable representing the loss amount. The expected reimbursement for policy H is:
Expected Reimbursement for Policy H = 0.35(0) + 0.65(0.8)(E(Y) - 2)
To find the difference between the expected reimbursements, we subtract the expected reimbursement for policy H from the expected reimbursement for policy G:
Difference = Expected Reimbursement for Policy G - Expected Reimbursement for Policy H
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Think about the properties of a square. Is a square also a rhombus? Is it also a rectangle? Answer each question and explain your answers. Write two to four sentences.
Yes, a square can be considered as a rhombus and a rectangle both.
What is a square?The square is a quadrilateral with all sides equal and all angles equals to 90° and having equal diagonals.
Square being a rhombus and a rectangle :-
Rhombus :-
It has it's all sides equal having their diagonals equal and intersect at right angle rhombus is a parallelogram so a square, all the properties that a rhombus holds are also the properties of a square, so we can say a square can be considered as a rhombus.
Rectangle :-
A square is always a rectangle because, it has all the properties of a rectangle, such as parallel and equal opposite sides, vertex angles being a right angle, diagonals being equal.
Hence, a square can be considered as a rhombus and a rectangle both.
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Final answer:
A square is both a rhombus and a rectangle because it has four equal sides and four right angles, fulfilling the criteria for both shapes.
Explanation:
A square indeed has all the properties of a rhombus, which is a parallelogram with four equal sides, and it also has the properties of a rectangle, which is a quadrilateral with four right angles. Since a square has four equal sides and four right angles, it satisfies the criteria to be called both a rhombus and a rectangle. Therefore, the answer is yes; a square is both a rhombus and a rectangle.
35. In a simple random sample of 25 high school students, the sample mean of the SAT scores was 1450, and the sample variance was 900. Assume that the data come from a normal distribution , a 95.4 % Confidence interval for the population mean is a. 1450 +/- 180 b. 1450 +/- 18 c. 1450 +/- 12 d. 1450 +/- 360
Answer:
[tex]1450-2.0\frac{30}{\sqrt{25}}=1450-12[/tex]
[tex]1450+2.0\frac{30}{\sqrt{25}}=1450+12[/tex]
And the best option would be:
c. 1450 +/- 12
Step-by-step explanation:
Information provided
[tex]\bar X=1450[/tex] represent the sample mean for the SAT scores
[tex]\mu[/tex] population mean (variable of interest)
[tex]s^2 = 900[/tex] represent the sample variance given
n=25 represent the sample size
Solution
The confidence interval for the true mean is given by :
[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (1)
The sample deviation would be [tex]s=\sqrt{900}= 30[/tex]
The degrees of freedom are given by:
[tex]df=n-1=2-25=24[/tex]
The Confidence is 0.954 or 95.4%, the value of [tex]\alpha=0.046[/tex] and [tex]\alpha/2 =0.023[/tex], assuming that we can use the normal distribution in order to find the quantile the critical value would be [tex]z_{\alpha/2} \approx 2.0[/tex]
The confidence interval would be
[tex]1450-2.0\frac{30}{\sqrt{25}}=1450-12[/tex]
[tex]1450+2.0\frac{30}{\sqrt{25}}=1450+12[/tex]
And the best option would be:
c. 1450 +/- 12
25.2 + 800 - 427..43 × 2.4 ÷ 13
Step-by-step explanation:
25.2 + 800 - 427.43 x 2.4 ÷ 13
825.2 - 1025.832 ÷ 13
200.632 ÷ 13
= 15.44
Insurance company records indicate that 14% of its policyholders file claims involving theft or robbery of personal property from their homes. Suppose a random sample of 500 policyholders is selected. What is the standard deviation of the sampling distribution of the sample proportion of policyholders filing claims involving theft or robbery from their homes?
Answer:
Standard deviation = 7.76
Step-by-step explanation:
The formula for determining standard deviation when dealing with population proportion is expressed as
Standard deviation = √npq
Where
n represents the number of samples from the population.
p represents the probability of success.
q represents the probability of failure.
From the information given,
n = 500 policyholders
p = 14% = 14/100 = 0.14
q = 1 - 0.14 = 0.86
Standard deviation = √500 × 0.14 × 0.86 = 7.76
Answer: std dev = 0.01552
Step-by-step explanation:
we will solve this by taking a step by step analysis of the problem.
i hope at the end of this section, you will feel confident to try out other questions.
given that the size of the sample (n) = 500
The Insurance company records indicate that 14% of its policyholders file claims involving theft or robbery of personal property from their homes.
hence sample proportion of policyholders filing claims involving theft or robbery from their homes (p) = 14% =0.14
let Z be the number of policyholders files involving theft or robbery of personal property from their homes.
so Z~Bin(500,0.14) and p=Z/500
we know from basic mathematics that standard deviation = √(variance)
so variance is given thus;
V[Z] = 500*0.14*(1-0.14)
or V[p] = V[Z/500] = 500*0.14*0.86/500² = 0.14*0.86/500
so standard deviation is;
sqrt[V[p]]=sqrt(0.14*0.86/500) = sqrt(0.0002408) = 0.01552
∴ the standard deviation = 0.01552
cheers i hope this helps!!!!
In 2 days, 48,000 gallons of oil
Answer:
Deepwater Horizon
good movie too btw
-Hops
Answer:
48 000 gallons / 2 days = 24 000 gallons per day
24 000 gallons / 24 hours = 1 000 gallons per hour
1 000 gallons / 60 minutes = 16.(6) gallons per minute
I had the same question on a quizz, the question was:In two days, 48,000 gallons of oil gushed out of a well. At what rate did the oil flow from the well?
Hope that was helpful.Thank you!!!
A group of 52 people attended a ball game. There were three times as many children as adults in the group.
Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of children who were in the group.
Answer:
39 children and 13 adults
Step-by-step explanation:
3children = 1 adult
52 = x * (3children + 1adult)
52= x * 4
13 = x
x = 13
total children = 3x
3x = 39
The problem poses a system of linear equations where the number of attendees 'a + c = 52' and 'c = 3a'. Resolving these equations gives 'a = 13' adults and 'c = 39' children.
Explanation:This is a problem about creating and solving a system of linear equations. Let's denote the number of adults who attended the ball game as 'a' and the children who attended the game as 'c'. According to the problem, we have two parts of information that can be written as equations:
The total number of individuals who attended the game, or 'a + c = 52'. The number of children in attendance were three times the number of adults, or 'c = 3a'.You can substitute the equation for 'c' in the first equation: a + (3a) = 52. Solving this, you find that 'a' equates to 13. Substitute 'a = 13' into the second equation, you will find that 'c = 39'. This indicates that there were 13 adults and 39 children who attended the game.
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Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,400 houses. The subdivision was built in 1983. A sample of 110 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $227,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $228,500?
Answer:
3.22% probability that the sample average is greater than $228,500
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
[tex]\mu = 227000, \sigma = 8500, n = 110, s = \frac{8500}{\sqrt{110}} = 810.44[/tex]
What is the probability that the sample average is greater than $228,500?
This is 1 subtracted by the pvalue of Z when X = 228500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{228500 - 227000}{810.44}[/tex]
[tex]Z = 1.85[/tex]
[tex]Z = 1.85[/tex] has a pvalue of 0.9678
1 - 0.9678 = 0.0322
3.22% probability that the sample average is greater than $228,500
What is the ordered pair if reflected (4, -6) over the y- axis
Answer:
reflection over the y- axis is x=0
so x will be negative.
(4,-6) will be (-4,-6)
Suppose an online auction website has roughly 500,000 users, and as each member signs up for an account,he or she is assigned a number. which of these would result in the smallest sample size using systematic sampling?
A. Surveying each 50,000th number
B. Surveying every 50th number
C. Surveying every 5000th number
D. Surveying every 500th number
The systematic sampling method that would result in the smallest sample size is A. Surveying each 50,000th number.
Which sampling would give the smallest sample size?The sample size that is given will depend on the number that the systematic sampling model uses. The higher the number, the smaller the sample size.
If each 50,000th number is being surveyed then the sample size would be:
= 500,0000 / 50,000
= 10 users
This is the smallest sample size that can be acquired here.
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Jessie has some chickens and rabbits. There are 30 heads and 76 legs in all. How many chickens and rabbits does Jessie have?
Describe what you did in attempting to solve this problem.
How do you know the solution is correct?
Answer:
There are 22 chickens and 8 rabbits
Step-by-step explanation:
1 chicken = 2 legs
1 rabbit = 4 legs
we need to do 2 equations to solve this problem
c + r = 30
c*2 + r*4 = 76
we clear c in the first equation
c + r = 30
c = 30 - r
we replace c with (30 - r) in the second equation
(30 - r) * 2 + r * 4 = 76
60 - 2r + 4r = 76
-2r + 4r = 76 - 60
2r = 16
r = 16/2
r = 8
now we replace r in the first equation
c = 30 - r
c = 30 - 8
c = 22
There are 22 chickens and 8 rabbits
Do you know that you have the correct solution because you can verify it by multiplying
22 * 2 + 8 * 4 =
44 + 32 = 76
What is the point-slope form of a line with slope-3 that contains the point
(10,-1)?
O A. y+1 = 3(x+10)
O B. y+ 1 = 3(x-10)
O C. x+ 1 =-3(y-10)
OD. y+ 1 = -3(x-10)
Answer:
D.) [tex]y+1=-3(x-10)[/tex]
Step-by-step explanation:
The original point slope form equation is as follows:
[tex]y - y_1 = m(x-x_1)[/tex]
When you input a negative or positive value into the equation, the sign may or may not change. In this case, we input a negative y value -- this caused the sign to change to '+1' rather than stay at '-1'
Write -9.42 as a mixed number.
Answer:
-9 21/50
Step-by-step explanation:
Brian makes a cleaning solution using a ratio of 4cups of water to 1 cup of vinegar. Which equationcould be used to find c, the number of cups ofvinegar that Brian should use with 12 cups of water?
A. 4/12 =c
B. 4/1 =12/c
C 4/1 = c/12
D. 4+1 = 12+c
Answer:
Option B could be used to find c, the number of cups ofvinegar that Brian should use with 12 cups of water
Step-by-step explanation:
Brian makes a cleaning solution using a ratio of 4 cups of water to 1 cup of vinegar.
Let c be the number of cups of vinegar that Brian should use with 12 cups of water.
1 cup of vinegar uses cup of water = 4
c cups of vinegar uses cup of water = 4c
We are c, the number of cups ofvinegar that Brian should use with 12 cups of water
So, 4c=12
[tex]4=\frac{12}{c}[/tex]
So, equation =[tex]\frac{4}{1}=\frac{12}{c}[/tex]
So, Option B could be used to find c, the number of cups ofvinegar that Brian should use with 12 cups of water
"If a ball of mass M is dropped from a height h onto a spring with spring constant k (whose equilibrium positions is at height 0), compresses the spring an additional distance (L/2), and then rebounds, what height will the ball reach? Express your answer symbolically."
So I was thinking something along the lines of h= M*k*(L/2) but I'm not sure :/ Any guidance?
Answer:[tex]h=\dfrac{kL^2}{8mg}[/tex]
Step-by-step explanation:
Given
Mass of ball is M is dropped from a height h
spring constant is k
Here we can use conservation of energy
Mass has a Potential energy of E=mgh
and when it falls on the spring then it compresses it a length of 0.5 L
Now potential energy is converted into Elastic potential energy and then spring unleashes this energy to the mass and again provide kinetic energy to mass to move upward .
In this way energy is conserved. So, mass must move to an initial height h
[tex]mgh=\frac{1}{2}k(\frac{L}{2})^2[/tex]
[tex]h=\dfrac{kL^2}{8mg}[/tex]
considering [tex]h >> 0.5L[/tex]
f(x)=x^2 what is g(x)
Answer:
D. g(x)=4x^2
Step-by-step explanation:
Answer: g(x)=4x^2
check picture below
A husband and wife, Mike and Lori, share a digital music player that has a feature that randomly selects which song to play. A total of 2,384 songs were loaded onto the player, some by Mike and the rest by Lori. Suppose that when the player was in the random-selection mode, 13 of the first 50 songs selected were songs loaded by Lori. (a) Construct and interpret a 90 percent confidence interval for the proportion of songs on the player that were loaded by Lori. (b) Mike and Lori are unsure about whether the player samples the songs with replacement or without replacement when the player is in random-selection mode. Explain why this distinction is not important for the construction of the interval in part (a).
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image for the step by step explanation of the answer to the question
An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. Of particular interest was whether higher income would result in shoppers to spending more on groceries. A random sample of shoppers at a local supermarket was obtained. A questionnaire was administered asking about the weekly income of each shoppers family and their grocery bill for that week. The explanatory variable is: g
An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. Of particular interest was whether higher income would result in shoppers spending more on groceries. A random sample of shoppers at a local supermarket was obtained. A questionnaire was administered asking about the weekly income of each shopper's family and their grocery bill for that week. The explanatory variable is:
A. weekly income.
B. weekly expenditure.
C. gender.
D. None of the answer options is correct
Answer:
A. weekly income.
Step-by-step explanation:
Explanatory variables are variables that shows the difference in response variables, the explanatory variable influences the response variable. It is an independent variable that can be manipulated. The independent variable helps explain the response variable.
In this case, the explanatory variable is the weeky income because the respose variable (weekly expenditure) variation depends on it. The economist wants to use the weekly income of each shoppers family to determine how much they will spend on groceries. So, the weekly income is the explanatory variable.
What is the constant of proportionality in the equation? y = 5 x
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What are the solution(s) to the quadratic equation 50 - x2 = 0?
x = +2/5
x = +63
x = 15/2
no real solution
Answer:
±5sqrt(2) = x
Step-by-step explanation:
50 - x^2 = 0
Add x^2 to each side
50 - x^2 +x^2= 0+x^2
50 = x^2
Take the square root of each side
±sqrt(50) = sqrt(x^2)
±sqrt(25*2)) = x
±sqrt(25) sqrt(2) = x
±5sqrt(2) = x
Samantha measured 40 1/2 inches. Over the 5 1/2 years, she grew to a height of 57 inches. During the 5 1/2 years, what was the average yearly change in samanthas height?
Answer:
The average yearly change in samanthas height was of 3.3 inches.
Step-by-step explanation:
She mesured 40 1/2 = 40.5 inches.
In 5 1/2 years = 5.5 years, she grew to 57 inches.
During the 5 1/2 years, what was the average yearly change in samanthas height?
The total change was of 57-40.5 = 16.5 inches
16.5/5 = 3.3
The average yearly change in samanthas height was of 3.3 inches.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check all that apply.
Answer:
D
Step-by-step explanation:
The absolute value parent function is [tex]\mid x \mid[/tex], or answer choice D. Hope this helps!
Which one of the properties described below DOES NOT apply to the perpendicular bisector of a segment?
A) It must be longer than the original segment.
B) It is perpendicular to (makes a 90 angle with) the original segment.
C) It divides the original segment into two equal pieces.
D) Every point on the perpendicular bisector is the same distance from both endpoints of the segment.
Answer: C
Step-by-step explanation: It divides the original segment into two equal pieces
The properties that do not apply for the perpendicular bisector should be option c. that it divides the original segment to two equal pieces.
Properties that applied to the perpendicular bisector of a segment:It should be more than the original segment. It should be perpendicular for making 90 angles along with the original segment. Also, each and every point on the perpendicular bisector should contain a similar distance that lies from the segment endpoints.Learn more about segment here: https://brainly.com/question/2818266
. The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal probability distribution with average time 10 minutes and a standard deviation of 2 minutes. If five individuals fill out the form on Day 1 and six individuals fill out the form on Day 2, what is the probability that the sample average time taken is less than 11 minutes for BOTH days?
Answer:
Probability that the sample average time taken is less than 11 minutes for Day 1 is 0.86864.
Probability that the sample average time taken is less than 11 minutes for Day 2 is 0.88877.
Step-by-step explanation:
We are given that the time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal probability distribution with average time 10 minutes and a standard deviation of 2 minutes.
Also, five individuals fill out the form on Day 1 and six individuals fill out the form on Day 2.
(a) Let [tex]\bar X[/tex] = sample average time taken
The z score probability distribution for sample mean is given by;
Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 10 minutes
[tex]\sigma[/tex] = standard deviation = 2 minutes
n = sample of individuals fill out form on Day 1 = 5
Now, the probability that the sample average time taken is less than 11 minutes for Day 1 is given by = P([tex]\bar X[/tex] < 11 minutes)
P([tex]\bar X[/tex] < 11 minutes) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{11-10}{\frac{2}{\sqrt{5} } }[/tex] ) = P(Z < 1.12) = 0.86864
The above probability is calculated by looking at the value of x = 1.12 in the z table which has an area of 0.86864.
(b) Let [tex]\bar X[/tex] = sample average time taken
The z score probability distribution for sample mean is given by;
Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 10 minutes
[tex]\sigma[/tex] = standard deviation = 2 minutes
n = sample of individuals fill out form on Day 2 = 6
Now, the probability that the sample average time taken is less than 11 minutes for Day 2 is given by = P([tex]\bar X[/tex] < 11 minutes)
P([tex]\bar X[/tex] < 11 minutes) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{11-10}{\frac{2}{\sqrt{6} } }[/tex] ) = P(Z < 1.22) = 0.88877
The above probability is calculated by looking at the value of x = 1.22 in the z table which has an area of 0.88877.
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 290 minutes, the monthly cost will be $87. If the customer uses 980 minutes, the monthly cost will be $225. A) Find an equation in the form y = m x + b , where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan.
Final answer:
The equation representing the total monthly cost of the A Fee and Fee plan based on the number of minutes used is y = 0.20x + 29, where y is the total monthly cost and x is the number of minutes.
Explanation:
To find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly cost of the A Fee and Fee plan, we first need to determine the slope (m) and the y-intercept (b).
We have two points based on the information given: (290, 87) and (980, 225). The slope (m) is calculated by the difference in cost divided by the difference in minutes:
m = (225 - 87) / (980 - 290)
m = 138 / 690
m = 0.20
Now that we have the slope, we can use one of the points to find b, the y-intercept.
Using the point (290, 87) and the slope 0.20:
87 = 0.20(290) + b
b = 87 - 58
b = 29
The equation representing the total monthly cost (y) based on the number of minutes used (x) is therefore:
y = 0.20x + 29
Mirele needs to buy fencing to completely surround her backyard pool. How much fencing should she buy? A pool has a length of 31.74 feet and a height of 14.85 feet. 29.70 feet 63.48 feet 66.35 feet 93.18 feet
Answer:
93.18 feet
Step-by-step explanation:
Given:
Length of backyard pool = 31.74 feet
Height of backyard pool = 14.85 feet
To find: Length of fencing bought by Mirele
Solution:
To find the length of fencing bought by Mirele, use the formula for the perimeter of a rectangular pool.
Length of fencing bought by Mirele = 2 ( length + height ) = 2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet
Answer:
93.18 feet
Step-by-step explanation:
David wants to buy a 6-foot long sandwich for a birthday party. If the sandwich costs $72.00, what is the cost per foot?
Answer:
$12 per foot
Step-by-step explanation:
$72.00 divided by 6 is $12
Answer:
The cost per foot of the sandwich is $12.
Step-by-step explanation:
You need to use division for this problem.
Pretend you are cutting the 6-foot sanwhich into 1-foot pieces. You will have 6 pieces. You have to give each piece an equal amount of money. Think about your 6-times tables. What times 6 = 72?
__ x 6 =72
or
72/6 = __
VERY URGENT.
You will get Brainliest.
Here are three math questions:
1.) A rectangular prism has a volume of 2,592 cubic yards. The height of the prism is 32 yards.
What is the area of the base of the prism?
2.) A rectangular prism has a volume of 432 cubic feet and a height of 9 feet.
Which dimensions could be the length and width of the prism?
Select each correct answer.
28 ft long and 20 ft wide
3 ft long and 16 ft wide
6 ft long and 8 ft wide
13 ft long and 4 ft wide
24 ft long and 2 ft wide
3.) A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units.
What is the height of the prism?
_____ units
Answer:
(1)Base Area= 81 square yards.
(2)
3 ft long and 16 ft wide 6 ft long and 8 ft wide 24 ft long and 2 ft wide(3)Height=12 Units
Step-by-step explanation:
Question 1
Volume of the rectangular prism=2,592 cubic yards.
Height of the rectangular prism=32 yards
Volume of a rectangular prism =lbh (where lb is the Base Area)
Therefore:
lbh=2592
32lb=2592
lb=2592/32=81
Base Area= 81 square yards.
Question 2
Volume of the rectangular prism=432 cubic feet.
Height of the rectangular prism=9 feet
Volume of a rectangular prism =lbh (where lb is the Base Area)
Therefore:
lbh=432
9lb=432
lb=432/9=48
Base Area= 48 square yards.
Any dimension whose product is 48 is a possible choice.
They are:
3 ft long and 16 ft wide 6 ft long and 8 ft wide 24 ft long and 2 ft wideQuestion 3
Volume of the rectangular prism=960 cubic units.
Base Area of the rectangular prism, lb=80 Square Units
Volume of a rectangular prism =lbh (where lb is the Base Area)
Therefore:
lbh=960
80h=960
h=960/80=12
Height= 12 units.
Answer:
81 square yards.
Step-by-step explanation:
what the other guy said just less words
Please Help!!!!! ...................................
Answer:
divide 252 by 7 and you get 36
Step-by-step explanation: