Answer:
\(3174cm^{2}\)
Step-by-step explanation:
Each square has an area of \(529cm^{2}\)
So we multiply that by the number of squares which is 6.
3. If the area of a rectangle is x²-10x+16 and
the length is x-2 find the width
The width of the rectangle is (x-8).
Given that, the area of a rectangle is x²-10x+16 and the length is x-2,
So, we know that the area of a rectangle is the product of its dimension,
we will factories the given polynomial and the factors obtained will be the dimensions of the rectangle,
Factorizing the polynomial,
= x²-10x+16
= x² - 8x - 2x + 16
= x(x-8) - 2(x-8)
= (x-2)(x-8)
We can say the (x-2) and (x-8) are the dimension of the rectangle.
Since, the area of a rectangle is the product of length and the width.
Hence, the width of the rectangle is (x-8).
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In a survey of 950 people, it was found that 420 people prefer Pepsi, 380 people prefer Coca Cola, and
the remaining people prefer other drinks, what percentage of the people prefer Pepsi and Coca Cola?
Answer:
84.2%
Step-by-step explanation:
420 + 380 = 800
800 / 950 = .842
.842 * 100 = 84.2
84.2 = 84.2%
A fruit seller buys lemons at 2 for a dollar and sells them at 5 for three dollars. What is his gain percent?
a)10%
b)15%
c)20%
d)25%
Please help, I need this answer ASAP
Answer: x= (2/3,0) y=(0,2)
X=(4,0) y=(0,8)
X=(-3,0) y=(0,-3)
Step-by-step explanation:
can someone help me with this only if you know it’s algebra 2
Answer:
b) 33.75≤x≤34.25
Step-by-step explanation:
X could equal either 34.25 or 33.75 to give you exactly 0.25. Since the answer can be less than 0.25, it’s all numbers between 33.75 and 34.25, including those two numbers. (That’s why the circles are filled in, unlike answer a).
For parts a and b​, use technology to estimate the following.
​a) The critical value of t for a ​% confidence interval with df.
​b) The critical value of t for a ​% confidence interval with df.
The critical value of t depends on both the confidence level and the degrees of freedom.
The sample size increases, the degrees of freedom also increase, and the t-distribution approaches the normal distribution.
The z-distribution to find the critical value of z for a given confidence level.
The critical value of t for a given confidence level and degrees of freedom, we can use statistical software or online calculators.
These tools typically provide tables or functions that allow us to look up or calculate the appropriate value.
The critical value of t for a 95% confidence interval with 10 degrees of freedom.
Using an online t-distribution calculator, we can enter the values of the confidence level and degrees of freedom and obtain the result, which in this case is approximately 2.228.
If we want to construct a 95% confidence interval for a sample with 10 degrees of freedom, we would use the formula:
\(\bar x \pm t \times (s/\sqrt n)\)
\(\bar x\) is the sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value we just obtained.
The critical value of t for a confidence interval, we need to know the confidence level and degrees of freedom, and we can use statistical software or online calculators to obtain the appropriate value.
This value is used in the formula for constructing the confidence interval, which depends on the sample statistics and the size of the sample.
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8. Sam packed 15 boxes in 5 days. Dylan packed 60 boxes 4 weeks and 2 days. Who packed the most
boxes in the least in the least amount of time? Find each unit rate.
Answer:
sam did the most
Step-by-step explanation:
let's find box packed per day
sam - 15 boxes in 5 days
so 3 boxes in 1 day
Dylan - 60 boxes in 4 weeks and 2 days
that is 60 in 30 days
that will make 2 boxes in 1 day
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer: 56.2
Step-by-step explanation:
hope this is the right answer :)
Please answer this
Hi
\( \frac{13}{4} kg \: \times 1000 = \frac{13000}{4} = 3250 \: gr\)
the answer is ........
Express the product of 2x^2+7 and 5+ x in standard form
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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.........................................................
Answer:
The volume of the figure is 126 cubic cm
Step-by-step explanation:
The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.
Calculate the first volume:
\(V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3\)
\(V_1= 42~cm^3\)
Calculate the second volume:
\(V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3\)
\(V_2= 84~cm^3\)
The total volume of the figure is the sum of both volumes:
\(V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3\)
The volume of the figure is 126 cubic cm
Solve each equation with the quadratic formula. Explain in words or by a graph what your answer represents.
The solution to the equation using quadratic formula is n= -1±√11
Define quadratic formula.A formula that provides the solution to a quadratic issue is the quadratic formula in elementary algebra. Other approaches to solving quadratic equations outside the quadratic formula comprise factoring, solving the square, graphing, and others.
Given expression= 2 + 13n = 9n + 20
Rearranging the equation we get
= 2n²+13n-9n-20=0
= 2n²+4n-20 =0
Taking out the common factor 2, we get
= 2 (n²+2n-10) = 0
Dividing both side with same factor 2, we get
= n²+2n-10 = 0
Use the quadratic formula:
n= \(\frac{-b +/- \sqrt{b^{2} -4ac} }{2a}\)
In the given expression n²+2n-10 = 0, a=1, b=2, c=-10
Therefore, n= \(\frac{-2 +/- \sqrt{2^{2} -4*1(-10)} }{2*1}\)
After evaluating the exponents, multiplying the numbers, adding the numbers, evaluating the square root and final multiplication we get:
n= \(\frac{-2 +/- 2\sqrt{11}}{2}\)
Separating the equations and rearranging them we get:
n= -1+√11
n= -1-√11
The solution to the equation using quadratic formula is n= -1±√11
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5c represents which part of
the expression?
50 - 8f
constant?
variable?
term?
coefficient?
Answer:
it represents the term of the equation
the graph shows the cost of renting snowshoes. Kyle rents a pair of snowshoes at 8 A.M. How much will he pay if he returns them by 2 P.M? How much will he pay if he returns them at 2.15 P.M?
The cost of rent from 8:00 AM to 2:00 PM is $21 and for 2:15 PM is $22.5
What is unit rate?A unit rate means a rate for one of something.
Given is a graph showing the cost of renting snowshoes for corresponding hours,
From 8:00 AM to 2:00 PM = 6 hours
According to graph,
The rent for 6 hours is $21
In an hour, the rent is $6
So, for 15 minutes = $1.5
Therefore, 8:00 AM to 2:15 PM = 6 hours + 15 minutes
Cost = 21+1.5
Cost = $22.5
Hence, The cost of rent from 8:00 AM to 2:00 PM is $21 and for 2:15 PM is $22.5
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I need help on this .....,,,
Answer: false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The y-intercept is at -7, and the slope is two (move to the right one and up two or left one and down two)
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
Given _______________________________________________, there is one and only one line perpendicular to the plane through that point.
Answer:
through a given plane
Step-by-step explanation:
All I need is the congruency statement and postulate ( SSS,HL,SAS,AAS,ASA,Not crungruent)
Answer:
I believe its AAS
Step-by-step explanation:
can you guys help pls?
Answer:
x= 68 degrees
Step-by-step explanation:
If the definite integral from 0 to 2 of e^(x^2) is first approximated by using two inscribed rectangles of equal width and then approximated by using the trapezoidal rule with n=2, the difference between the two approximations is:
(A) 53.60
(B) 30.51
(C) 27.80
(D) 26.80
(E) 12.78
The difference between the two approximations is approximately 26.80 so option D is the correct answer.
We have,
To approximate the definite integral \(e^{x^2}\) from 0 to 2 using two inscribed rectangles of equal width, divide the interval [0, 2] into two subintervals of equal width (h = 2/2 = 1).
Then calculate the area of each rectangle by evaluating the function at the left endpoints of the subintervals.
Now,
Approximation using inscribed rectangles:
Approximation 1
= f(0) * h + f(1) * h
\(= e^{0^2} * 1 + e^{1^2} * 1\)
= 1 + e
Next, use the trapezoidal rule with n = 2 to approximate the definite integral.
Approximation using the trapezoidal rule with n = 2:
Approximation 2 = (h/2) * [f(0) + 2f(1) + f(2)]
= (1/2) * [f(0) + 2f(1) + f(2)]
\(= (1/2) [e^{0^2} + 2e^{1^2} + e^{2^2}] \\ = (1/2) [1 + 2e + e^4]\)
Difference = Approximation 2 - Approximation 1
\(= (1/2) [1 + 2e + e^4] - (1 + e)\\= (1/2) [1 + 2e + e^4 - 2 - 2e - e)\\= (1/2) (e^4 - e - 1)\)
Difference ≈ 26.80
Therefore,
The difference between the two approximations is approximately 26.80.
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Which value for x makes the sentence true?
8x = 4x + 8
A.
x=1
B.
X = 2
C.
X = 4
D.
X = 12
Answer:
x = 2
Step-by-step explanation:
8x = 4x + 8
Subtract 4x from each side
8x-4x = 4x-4x + 8
4x = 8
Divide each side by 4
4x/4 = 8/4
x = 2
Answer:
= 2
Step-by-step explanation:
Subtract 4x4x from both sides.
8x-4x=88x−4x=8
2 Simplify 8x-4x8x−4x to 4x4x.
4x=84x=8
3 Divide both sides by 44.
x=\frac{8}{4}x=
4
8
4 Simplify \frac{8}{4}
4
8
to 22.
x=2x=2
Select the correct answer.
Based on the construction shown, what is the next step in the process of constructing parallel line CD?
A.
Using the same compass width that created the first arc, repeat the arc centered at point B.
B.
Using the same compass width that created the first arc, repeat the arc centered at point C.
C. Set the compass width to the distance between point E and where the arc crosses line AB.
D.Set the compass width to be where the arc intersects lines ECand EB.
The next step in the process of constructing parallel line CD is C. Set the compass width to the distance between point E and where the arc crosses line AB.
How to illustrate the information?It's important to draw a line parellel to line AB. Then, on should set compasses' width to the distance where the lower arc crosses the two lines.
After that, it's vital to move the compasses to where the upper arc crosses the transverse.
In conclusion, the correct option is C.
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Answer:
The answer is A
Step-by-step explanation:
Write the measurement indicated using the picture
Answer:
8 centimeters
Explanation:
We know that the ruler indicates it's from 76 - 92. In order to find out the measurement indicated you just need to know where the arrow ends and begins. Once you do you subtract the difference. Therefore, 92 - 84 is equal to 8.
The next two questions involve predicting the height of a population of girls at age 18 based on each girls height at age 2. We have a sample of 70 girls from Berkley, CA born in 1928-1929 where we have measured their height at age 2 and 18. Let +=the height of girls at age 2 in cm's .y = the height of girls at age 18 in cm's. The the following are the appropriate summary statistics n = 70 = 87.25, y = 166.54, R = 0.664. S 3.33. 6.07 Dscat_girls.
The regression equation for predicting the height of girls at age 18 based on their height at age 2 is:
y ≈ 68.953 + 1.210x
What is linear regression?The correlation coefficient illustrates how closely two variables are related to one another. This coefficient's range is from -1 to +1. This coefficient demonstrates the degree to which the observed data for two variables are significantly associated.
Based on the given information, we can use the linear regression model to predict the height of girls at age 18 based on their height at age 2. Here are the summary statistics:
n = 70 (sample size)
x = 87.25 (mean height at age 2 in cm)
y = 166.54 (mean height at age 18 in cm)
R = 0.664 (correlation coefficient)
S = 3.33 (standard deviation of height at age 2 in cm)
\(S_y\) = 6.07 (standard deviation of height at age 18 in cm)
To predict the height of girls at age 18 (y) based on their height at age 2 (x), we can use the regression equation:
y = a + bx
where a is the y-intercept (predicted height at age 18 when x = 0) and b is the slope of the regression line.
From the given information, we have the following values:
x = 87.25
y = 166.54
R = 0.664
Using these values, we can calculate the slope (b) of the regression line:
b = R * (\(S_y\) / S)
= 0.664 * (6.07 / 3.33)
≈ 1.210
Next, we can calculate the y-intercept (a) using the formula:
a = y - b * x
= 166.54 - 1.210 * 87.25
≈ 68.953
Therefore, the regression equation for predicting the height of girls at age 18 based on their height at age 2 is:
y ≈ 68.953 + 1.210x
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you are bored at a lunch meeting and decide to place a raisin in your glass of water. the raisin swells to twice its original size. relative to the water, the raisin must have been:
If the raisin swells to twice its original size, relative to the water, the raisin must have been hypertonic solution.
A response that is hypertonic refers to one that has a larger osmotic strain than another arrangement. In the end, a hypertonic arrangement is one in which the concentration of solute particles outside of a layer is greater than that inside.An arrangement that has a higher solute fixation than another arrangement is said to be hypertonic.The inside of a red platelet compared with the solute concentration of fresh water serve as illustrations of a hypertonic arrangement.When two arrangements come into contact, the solute or dissolvable moves until the arrangements reach harmony and are isotonic with one another.To know more about hypertonic check the below link:
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a number is chosen at random from the numbers 1 to 100. what is the probability that the number is divisible by 5?
Answer:
20/100
depending on how many of something there is, the probability is the amount of the specific item over the total number of items
What does the n stand for in this formulac
A = P(1+) **
The number of times compounded per year
O final amount
O time
O initial amount
This is formula of compound interest , where n = time .
What is the simple definition of compound interest?
When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.As an illustration, if you put $1,000 in an account that offers 1% yearly interest, you will receive $10 in interest after a year. Compound interest allows you to earn 1 percent on $1,010 (principal plus interest), or $10.10 in interest payments for the year, in Year Two.the n stand for in this formula is time
the full formula is
A = P(1 + r/100)ⁿ
where A = Annual amount
P = initial amount
R= rate
n = time
this is formula of compound interest
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What is the y intercept? 7x+y=10
Answer:
the y intercept is y
Step-by-step explanation:
because we have the variable already/////
suppose that we will randomly select a sample of 123 measurements from a population having a mean equal to 19 and a standard deviation equal to 7. (a) describe the shape of the sampling distribution of the sample mean . do we need to make any assumptions about the shape of the population? why or why not?
The sampling distribution of the sample mean has a normal distribution with a mean of 19 and a standard deviation of 7/√123. No assumptions about the shape of the population are needed.
The sample mean is the average of the sample measurements and its sampling distribution is the probability distribution of the sample means. The shape of the sampling distribution of the sample mean is normal, which is based on the Central Limit Theorem. This theorem states that if a sample is taken from a population, no matter what the shape of the population is, the sampling distribution of the sample mean will be approximately normal if the sample size is large enough. In this case, the sample size of 123 is considered to be large enough. The mean of the sampling distribution is equal to the mean of the population (19) and the standard deviation of the sampling distribution is equal to the standard deviation of the population (7) divided by the square root of the sample size (√123). No assumptions about the shape of the population are needed to determine the shape of the sampling distribution of the sample mean.
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