Answer:
The answer is A
Step-by-step explanation:
I just took the test and it was the answer!
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
The correct option is (A).
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement.
As per the given data:
The dimensions for the pig pen Jenna has is given.
The area of the pig pen is to be increased to 168 m² by increasing the length and width by the same amount.
Length of the rectangular pig pen = 10 m
Width of the rectangular pig pen = 8 m
Now, let's say that the length and width of the pig pen is increased by x m.
length = 10 + x
width = 8 + x
The expression for the area of the pig pen will be:
Area = length × width
168 = [10 + x][8 + x]
168 = 80 + 10x + 8x + x²
x² + 18x - 88 = 0
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
Hence, The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
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A cruise cost £4500 and you have to pay a 30% deposit. What is the deposit and what is the balance.
Answer:
$5350
Step-by-step explanation:
PLS HELP !!! Dwight has a total of 55 nickels and quarters that total $8.75. How many of each coin
does he have?
Answer:
25 nickle and 30 quarters
Step-by-step explanation:
30 time .25 is 7.5 and 25 times .05 is 1.25 so yea thats it
Answer:
25 nickels 30 quarters
Step-by-step explanation:
Please answer I really need help
Answer:
8
Step-by-step explanation:
its somethings difficult
Find the values of x and y
help me plz!!
Answer:
24=5y+3y
8y=24
y=3
x+x+9y+5=90
2x+9(3)+5=90
2x=58
x=29
Step-by-step explanation:
What is the square root of 25
Answer:
5
Step-by-step explanation:
5 square, which means 5 multiplied by 5 gives you 25
Answer:
the square root of 25 is 5
10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of polymer B, and 32 fibers of polymer C. a. What is the probability that the sample does not contain any fibers of polymer B
Answer:
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
In this question:
Fibers are chosen without replacement, which means that we use the hypergeometric distribution.
92 fibers means that [tex]N = 92[/tex]
Sample of 10 means that [tex]n = 10[/tex]
No polymeter B which means that [tex]x = 0[/tex]
17 fibers of polymeter B which means that [tex]k = 17[/tex]
a. What is the probability that the sample does not contain any fibers of polymer B
This is P(X = 0).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150[/tex]
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
The probability that the sample does not contain any fibers of polymer B is 0.123
The given parameters are:
n = 92
A = 43
B = 17
C = 32
The probability of selecting a sample that contains polymer B is:
[tex]p = \frac{17}{92}[/tex]
[tex]p = 0.185[/tex]
Using binomial probability, we have:
[tex]P(x) = ^nC_x * p^x *(1 - p)^{n -x}[/tex]
The probability that a selection of 10 fibers do not contain polymer B is then calculated as:
[tex]P(0) = ^{10}C_0 * 0.185^0 *(1 - 0.185)^{10 -0}[/tex]
This gives
[tex]P(0) = 1 * 1 *(0.815)^{10}[/tex]
Evaluate the product
[tex]P(0) = 0.123[/tex]
Hence, the probability that the sample does not contain any fibers of polymer B is 0.123
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In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?
Answer: 16.1
Step-by-step explanation:
What is the area of this figure?
Enter your answer as a decimal
Answer:
176.00 cm^2
Hope you got the answer.
Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:
Part A: What is the standard deviation of the sampling distribution of x? Show your work
Part B: what does the sample size need to be if you want the standard deviation of the sampling distribution of c to be2.8? Show your work.
Answer:
Step-by-step explanation:
The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula.
The standard deviation of the sampling distribution of the means is 2.656.
With a new population standard deviation of 2.8, the sampling size, n, is 9.
i need help on math plz help me fast
Answer:
The smaller shape has 84% of the larger shape's area.
Step-by-step explanation:
Larger shape: 15 × 12 = (12 × 3) + (12 × 12) = 36 + 144 = 150 + 30 = 180
Smaller shape: 6 × 4.8 = (6 × 4) + (6 × 0.8) = 24 + 4.8 = 28.8
The percent difference is the absolute value of the quotient of the difference between the new value and the original value divided by the original value and then all multiplied by 100. (percentages are really just a fraction of 100)
[tex]|\frac{28.8-180}{180}|*100=|\frac{-151.2}{180}|*100=|-0.84|*100=0.84*100=84[/tex]
% difference = 84%
Hope this helps! Have a great day!
l4legitv3, I know you're really mad at me for getting your alternate account banned. I'm sorry. I only did that because you were acting rude, and I don't like that. I'm tired of being chased all over the place for getting someone banned. I'm willing to become your friend if you'll stop reporting me for that incident. Let's put the past in the past, 'kay?
Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?
Help pls I will give brainliest
Answer:
Least: 14%
Next: 0.15
Next: 1/5
Next: 24%
Greatest: 27/100
Step-by-step explanation:
If you put them all into decimal form they are:
.14, .15, .20, .24, .27
Sameer woke up one morning and saw frost on the windows. It was -7°C outside. Later in the day, the frost melted. At 3 p.m. it was 2°C outside. Which expression represents the difference between the two temperatures?
Answer:
[tex]d = 9[/tex]
Step-by-step explanation:
Given
[tex]Morning = -7^{\circ}C[/tex]
[tex]Afternoon = 2^{\circ}C[/tex]
Required
What represent the difference
The expression that represents the difference (d) are:
[tex]d = |Morning - Afternoon|[/tex]
Substitute values for Morning and Afternoon
[tex]d = |-7 - 2|[/tex]
[tex]d = |-9|[/tex]
[tex]d = 9[/tex]
|x|=5
Solve for x
|x| = -5
Solve for x
Answer:
Step-by-step explanation:
For |x|=5, x can be either 5 or -5.
For |x|=-5, absolute value cannot be negative, so it is no solutions.
Classify the triangle with the given side lengths as 1,13,13
Answer:
isosceles triangle
Step-by-step explanation:
como se llama la figura geométrica que tiene 6 caras 12 aristas 8 vertises
Answer:
hexaedro
ahí esta la respuesta
Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates.† Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.† If you want to provide your child with 340 calories and 75 grams of carbohydrates, how many servings of each should you use?
Answer:
2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.
Step-by-step explanation:
Given that Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates, while Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates, and you want to provide your child with 340 calories and 75 grams of carbohydrates, in order to how many servings of each you should use, the following calculation has to be made:
(80 x 5) + (60 x 0) --- (21 x 5) + (11 x 0) = 400 --- 105
(80 x 4) + (60 x 1) --- (21 x 4) + (11 x 1) = 380 --- 95
(80 x 3) + (60 x 2) --- (21 x 3) + (11 x 2) = 360 --- 85
(80 x 2) + (60 x 3) --- (21 x 2) + (11 x 3) = 340 --- 75
Therefore, 2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.
Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?
Answer:
John answered 50 questions.
Step-by-step explanation:
Although five of John's answers were incorrect, 90% of his answers were correct.
This means that 5 is 100 - 90% = 10% of the total number of questions, n. So
[tex]0.1n = 5[/tex]
[tex]n = \frac{5}{0.1}[/tex]
[tex]n = 50[/tex]
John answered 50 questions.
12 gallons to 36 gallons. Percent change?
I guess it is 200%
Hope it is correct
Answer:
200.00%Step-by-step explanation:
Here i will show you how to calculate the Percent Change from 12 to 36.
Basically, we are trying to find the change from 12 to 36 in terms of percent. We do this in three steps:
1) Find the difference between 12 and 36 as a number.
2) Divide the result from Step 1 by the starting number 12.
3) Multiply the result you got on step two by 100 to get it in terms of percent.
this can be shotenn sown with a simple formulatso, to find the percent change from 12 to 36, we use this formula:
((Y-X)/X)*100 = Percent Change
X is the starting number 12, and Y is the ending number 36 that it changed to. When we enter these numbers into the formula, we get:
((36-12)/12)*100 = 200.00%
there fore you answer is
200.00%What is greater than 525.06 but less than 525.6?
Can someone help me please im so confused
Answer:
it is either the dice or the cups
Step-by-step explanation:
Answer:
cups
Step-by-step explanation:
i might be wrong
Can u help me please
Im pretty sure its D
Answer:
The answer is D
Step-by-step explanation:
a car is 180 inches long. a truck is 75 percent longer than thr car. how long is the truck
Answer:
315
Step-by-step explanation:
180+((75/100)x180)=
180+(3/4 x 180)=
180+135=
315
Answer:
315 inches
Step-by-step explanation:
180 × .75 = 135
hello twngan sus puntos!!
Answer:
2029jjajvdjsjsvdghsjsjbs
Answer:
Answer:
Step-by-step explanation:
Thanks for free points!
Circle 20% of these lollipops there are 10 lollie pops
Answer:
20% of 10 is 2
Step-by-step explanation:
A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?
Answer:
30%
Step-by-step explanation:
Percentage discount
[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%[/tex]
☆ Discount= original price -selling price
A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview
Answer:
They should interview 1620 adults now.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
z wont change, neither will [tex]\sigma[/tex]
We want to increase n as such the margin of error is reduced to one third.
We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So
180*9 = 1620
They should interview 1620 adults now.
solve 5y - 2 = 3y + 14
Answer: y=8
Step-by-step explanation:
Answer:
Y = 8
Step-by-step explanation:
Worl
10.
9. A bottle contains 3.5 liters of water. A second
bottle contains 3,750 milliliters of water. How
many more milliliters are in the larger bottle
than in the smaller bottle?
Math Explain how units of length and
Answer:
250 milliliters
Step-by-step explanation:
3.5 liters = 3.5 × 1000 milliliters=3500milliliters
3750-3500 = 250 milliliters
What is 8z + x -5 - 9z + 2 written in simplest form
Answer:
Hope this helps :D
Step-by-step explanation:
The simplified form of the given expression is x-z-3.
The given expression is 8z + x -5 - 9z + 2.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is written in simplified form is as follows
Group the like terms
8z - 9z + x -5 + 2
= -z+x-3
= x-z-3
Hence, the simplified form of the given expression is x-z-3.
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