Answer:
X=-2
Step-by-step explanation:
M&M plain candies have a normally distributed weight with a mean of 0.8565 g and a standard
deviation of 0.0518 g. If 465 M&M plain candies are randomly selected, find the probability that
their mean weight is at least 0.8535 g each.
Answer:
0.89417
Step-by-step explanation:
Using the relation to obtain the Zscore :
Z = (x - mean) ÷ standard deviation / sqrt(n)
x = 0.8535
Mean = 0.8565
Standard deviation = 0.0518
Sample size, n = 465
P(x ≤ 0.8535) = (0.8535 - 0.8565) ÷ 0.0518/sqrt(465)
P(x ≥ 0.8535) = - 0.003 / 0.0024021
P(x ≥ 0.8535) = - 1.249
P(Z ≥ - 1.249) = 0.89417
True or False: When conducting a cluster sample, it is better to have fewer clusters with more individuals when the clusters are heterogeneous
Answer: True
Step-by-step explanation: This statement is true because when clusters are heterogeneous they are a "scaled-down version" of the population sampled. I hope this helped!
Answer:true
Step-by-step explanation:
If f(x) = -2x + 4, then f-1(x) =
Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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Integrate by hand the following functions: adr b) (42³-2r+7) dz Upload Choose a File
The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.
To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:
∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C
where C is the constant of integration.
Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.
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A continuous random variable X has probability density function f(x) = c(1+x)(1 - 2 over the domain -1<<1. (a) i. Evaluate the constant e (the integration can be done by MATLAB). ii. Plot the probability density function over the domain (-1,1). Is this density function skewed to the right, skewed to the left, or symmetric? (b) Use MATLAB to evaluate I i. the mean y = E(X)= |- «f(x) dx; ii. E(X)= (- 22 f(x) dx; iii. the variance o2 = Var(X) = E(X) – H?, and the standard deviation o. *(c) i. Use MATLAB to find an expression for the cumulative distribution function F(x). ii. Check the result in (i) by differentiation. Hint: simplify (ans) might help! iii. Evaluate P(-0.2 X <0.2).
(a)i. Evaluating the constant:
\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)
Therefore, the probability density function is:
\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:
From the graph, it is observed that the density function is skewed to the left.
(b)i. The mean:
\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)
ii. The second moment about the origin:
\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)
Therefore, the variance is:
\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)
iii. The standard deviation:
$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)
i. The cumulative distribution function:
\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)
ii. The probability density function can be obtained by differentiating the cumulative distribution function:
\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)
iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)
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Simplify (2x+5y)(3x-8y)
Answer: = \(6x^{2}\) − xy − \(40y^{2}\)
Step-by-step explanation:
{Apply\:FOIL\:method}:\quad
\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd
a=2x,\:b=5y,\:c=3x,\:d=-8y
{Apply\:minus-plus\:rules}
+\left(-a\right)=-a
=2\cdot \:3xx-2\cdot \:8xy+5\cdot \:3xy-5\cdot \:8yy
Simplify 2 · 3xx − 2 · 8xy + 5 · 3xy − 5 · 8yy: 6x − xy − 40y
2 2
= \(6x^{2}\) − xy − \(40y^{2}\)
Hope This Helps!
in the data the smallest term is 30 and largest term is40.what is the range
Answer:
40-30
Step-by-step explanation:
Here higher term minus lower term
Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?
The total weight is 18.5 kilograms
P L E A S E ~ H E L P ~ M E ~ O U T
Trapezoid ABCD has a perimeter of 12.4 cm. What is the length of side CD?
Answer:
4cm
Step-by-step explanation:
2t2 is 4 4 is the cm
purrr
periodtttttt ahhhhhh
its 4cm purrrr
Answer:
c
Step-by-step explanation:
Gender Selection The Genetics and IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using the YSORT method, and 239 of them were boys. 291/239= a. What is the best point estimate of the population proportion of boys born to parents using the YSORT method? b. Use the sample data to construct a 99% confidence interval estimate of the proportion of boys born to parents using the YSORT method. c. Based on the results, does the YSORT method appear to be effective? Why or why not? Theoretical probability is u. population proportion is o. 90% confidence interval
the 99% confidence interval estimate for the proportion of boys born to parents using the YSORT method is: (0.7584, 0.8820)
what is an algebraic expression?
An algebraic expression is a mathematical phrase consisting of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
a. The point estimate of the population proportion of boys born to parents using the YSORT method can be calculated as the ratio of the number of boys to the total number of babies:
239/291 ≈ 0.8202
Therefore, the best point estimate of the population proportion of boys born to parents using the YSORT method is approximately 0.8202.
b. To construct a 99% confidence interval estimate of the proportion of boys born to parents using the YSORT method, we can use the following formula:
p ± z*sqrt(p(1-p)/n)
where p is the point estimate of the population proportion, z* is the critical value from the standard normal distribution for the desired confidence level (99% in this case), and n is the sample size.
Using the values from part (a), we have:
p = 0.8202
n = 291
z* = 2.576 (from the standard normal distribution table for a 99% confidence level)
Plugging in these values, we get:
0.8202 ± 2.576sqrt(0.8202(1-0.8202)/291)
Simplifying, we get:
0.8202 ± 0.0618
c. Based on the results, the YSORT method appears to be effective in increasing the probability of conceiving a boy. The point estimate of 0.8202 is significantly higher than the theoretical probability of 0.5 for a randomly selected baby to be a boy.
Therefore, the 99% confidence interval estimate for the proportion of boys born to parents using the YSORT method is: (0.7584, 0.8820)
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A pole that is 12 feet tall casts a shadow that is 9 feet long. At the same time of day, how long is the shadow cast by a tree that is 45 feet tall?
A. 27 ft
B. 29.25 ft
C. 31.5 ft
D. 33.75 ft
During a week in July, the following temperatures in Austin, Texas were recorded:
98, 99, 100, 90, 98, 100, 96°
Identity the mode:
98,100
Or
99
Answer:
Step-by-step explanation:
98°,100°
Complete the missing parts of the table for the following function. y = 4* yl X -2 -1 0 1 2 3 1 1 ] 16 []
Answer:
1/16, 1/4, 1, 4, 16, 64.
Step-by-step explanation:
Isaiah is ordering a sub sandwich for lunch. He can have turkey, ham, chicken, roast beef, or tuna. His bun choices are wheat, honey oat, and white. How many different sub combinations can Isaiah order?
Answer:
45 different sandwiches
Step-by-step explanation:
A and B are two prime numbers, A > B. Their L. C. M is 161. Then the value of 3B – A is
Assuming A and B are prime numbers, and A > B, and their LCM is 161, we get A = 23 and B = 7. Substituting these values in the expression 3B - A, we get the value of 3B - A as -2.
The LCM of two prime numbers can only be equal to their product. Therefore, we have:
A x B = 161
The prime factors of 161 are 7 and 23. Since A is greater than B, we can assume that A = 23 and B = 7.
Substituting these values in the expression 3B - A, we get:
3B - A = 3(7) - 23 = -2
Therefore, the value of 3B - A is -2.
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there are more than 200 pages but fewer than 800 in my book. all thre digits of my number are the same. the number is divisible by 9. how many pages sre in my book
Answer:777
Step-by-step explanation: I do not care
There are 333 pages are in my book.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are more than 200 pages but fewer than 800 in my book.
And, All the digits of my number are the same and the number is divisible by 9.
Now,
Let a number with three same digit = xxx
So, We get;
200 < xxx < 800
Since, the number is divisible by 9.
So, By the rule of the number divide by 9, we get;
x + x + x = 9k
3x = 9k
for k = 1;
x = 3
Thus, Number of pages = 333
Therefore,
There are 333 pages are in my book.
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intermediate accounting
how to get these numbers Or what are the steps(multiply or divide) to get these numbers=10.25776 or the cumulative pv factor 2.5% for 12 periods And 13.69955 or the cumulative pv factor 2.5% for 13th to 37th period?
The method to get the future cash flow using the cumulative present value factor is explained.
To calculate the numbers you mentioned, you need to use the cumulative present value factor (PV factor) formula. The PV factor represents the present value of a future cash flow discounted at a given interest rate.
To calculate the cumulative PV factor at 2.5% for 12 periods (10.25776),
you need to multiply the PV factor for each period. The formula for the PV factor is 1 / (1 + interest rate) ^ number of periods.
For example, to calculate the PV factor for each period, you would use the following formula: 1 / (1 + 0.025) ^ period number.
Then, multiply these PV factors for each period to get the cumulative PV factor for 12 periods.
To calculate the cumulative PV factor at 2.5% for the 13th to 37th period (13.69955), you would follow the same steps as above.
However, instead of multiplying the PV factors for all 37 periods, you would subtract the cumulative PV factor for 12 periods from the cumulative PV factor for 37 periods.
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Select the equivalent expression.
(x4/7-8)^-7
Choose 1 answer:
Answer:
c
Step-by-step explanation:
\((a^{m})^{n} = a^{m*n}\\\\\frac{1}{a^{m}}=a^{-m}\)
\((\frac{x^{4}}{7^{-8}})^{-7} = \frac{x^{4*(-7)}}{7^{-8 * (-7)}}\\\\=\frac{x^{-28}}{7^{56}}\\\\= x^{-28}*7^{-56}\)
Answer:
C
Step-by-step explanation:
How did the Pan-African movement lay the foundation for Kenya's independence in 1963?
Answer:
The British controlled Africa, but feelings of nationalism started by the pan Africa movement lead to more and more people in Africa wanting their independence. ... Nationalism lead to the Kenyans feeling that their land was taken unfairly. Eventually, conflict led to independence.
Step-by-step explanation:
What do you think the purpose of this survey is? Explain.
Answer:
To better understand the data you're working with
Step-by-step explanation:
Note that, the sample is a subset of your whole population (population here is a general definition, it could be a population of cars for example), which means that if you want to understand your population your best "bet" would be using a sample to try to estimate some unknown characteristics of your population. Let's suppose you want to estimate the true mean of your population, then you would need a sample, and if this sample is big enough you could approximate the estimative to the true mean.
It's hard to say exactly what this survey could mean, but the general idea is to understand your data a little more, see if there is any pattern, if a certain value occurs more than others, to calculate the sample mean, median and standard deviation, and so on...
Hope it helped!
when jamal rides around the circle path 2 times, he travels a distance of 8 pi km. true or false
The amount of time the husband and the wife spend on house work is measured for 15 women and their 15 husbands. For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85. What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives
Answer:
The value of the test statistic is z = -0.877.
Step-by-step explanation:
Testing the difference in mean time spent on housework between husbands and wives.
At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:
\(H_0: \mu_H - \mu_W = 0\)
At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.
\(H_1: \mu_H - \mu_W \neq 0\)
The test statistic is:
\(z = \frac{X - \mu}{s}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that \(\mu = 0\)
For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.
This means that \(X = 4.5 - 7 = -2.5, s = 2.85\)
What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives?
\(z = \frac{X - \mu}{s}\)
\(z = \frac{-2.5 - 0}{2.85}\)
\(z = -0.877\)
The value of the test statistic is z = -0.877.
Math SAT scores (Math) and Verbal SAT scores (Verbal) have a roughly linear relationship. Suppose that linear regression analysis yield the regression equation (predicted MATH) = 210 + 0.67*(Verbal) If Camilla scores 100 points more on her Verbal SAT than her friend. How many points higher does the model predict Camilla's Math SAT score to be than her friend's?
According to the regression equation, if Camilla scores 100 points higher on her Verbal SAT than her friend, the model predicts her Math SAT score to be 67 points higher than her friend's.
In the given regression equation, the coefficient of the Verbal variable is 0.67, indicating that for every 1-point increase in Verbal SAT score, the predicted Math SAT score increases by 0.67 points.
If Camilla scores 100 points higher on her Verbal SAT than her friend, we can use this information to calculate the predicted difference in their Math SAT scores.
The predicted Math SAT score for Camilla is given by:
(predicted MATH for Camilla) = 210 + 0.67*(Camilla's Verbal)
Similarly, the predicted Math SAT score for her friend is:
(predicted MATH for friend) = 210 + 0.67*(Friend's Verbal)
Subtracting the two equations, we can determine the predicted difference:
(predicted MATH for Camilla) - (predicted MATH for friend) = 0.67*(Camilla's Verbal - Friend's Verbal)
Given that Camilla scores 100 points higher on her Verbal SAT, we substitute the values:
(predicted MATH for Camilla) - (predicted MATH for friend) = 0.67*(100)
Calculating the result, we find that the model predicts Camilla's Math SAT score to be 67 points higher than her friend's.
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Natalie is flying from Dallas to Little Rock, a distance of 319 miles. She starts her flight 15° off courseand flies on this course for 75 miles. How far is she from Little Rock?
To solve the problem, we can use trigonometry and vector addition to determine how far Natalie is from Little Rock after flying off course.
First, let's find the horizontal and vertical components of the displacement vector:
Horizontal component = Distance * cos(angle) = 75 * cos(15°)
Vertical component = Distance * sin(angle) = 75 * sin(15°)
Now, we can find the remaining distance from Little Rock by subtracting the horizontal component from the total distance:
Remaining distance = Total distance - Horizontal component
Remaining distance = 319 - (75 * cos(15°))
To find how far Natalie is from Little Rock, we can use the Pythagorean theorem:
Distance from \(Little Rock = \sqrt{((Remaining distance)^2 + (Vertical component)^2)}\)
Distance from Little Rock = sqrt((319 - (75 * cos(15°)))² + (75 * sin(15°))²)
Let's calculate the values:
Horizontal component = 75 * cos(15°) ≈ 71.981
Vertical component = 75 * sin(15°) ≈ 19.256
Remaining distance = 319 - 71.981 ≈ 247.019
Distance from Little Rock ≈ sqrt((247.019)² + (19.256)²) ≈ 248.573
Therefore, Natalie is approximately 248.573 miles from Little Rock after flying off course.
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ILL GIVE BRAINLIEST PLS HELP
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 9.5?
A.
It is the graph of y = x translated 9.5 units to the right.
B.
It is the graph of y = x translated 9.5 units up.
C.
It is the graph of y = x where the slope is increased by 9.5.
D.
It is the graph of y = x translated 9.5 units down.
Answer:
Im pretty sure is B but it might be C.
Step-by-step explanation:
Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars over this 10-year period?
Answer:
y=-0.5x+8
Step-by-step explanation:
stat, or just rise over run
Area of triangles
What is the area of the triangle?
16
10
8
Answer: 1280
Step-by-step explanation: LxWxH = 16 X 10 X 8
The Area of Triangle is 30.85 unit².
What is Heron's Formula?Heron's formula, formula credited to Heron of Alexandria (c. 62 ce) for finding the area of a triangle in terms of the lengths of its sides.
In symbols, if a, b, and c are the lengths of the sides:
Area = √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.
The semi perimeter
s =(16 + 10 + 8)/2 = 34/2 = 17
So, the Area of Triangle
= √s(s- a)(s -b )(s-c)
= √17 (17-16)(17-10)(17-8)
= √17 x 1 x 7 x 9
= 30.85 unit²
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Please Help me with my math
According to the data, the percentages in the table from left to right and top to bottom are: 67.4, 34.5, 32.5, 65.4
How to find the percentages to complete the table?To find the percentages to complete the table we must perform the following procedure:
We must add the values as shown below:
Students studying less than eight hours
29 + 14 = 43Then we must find the percentages with rules of 3:
43 = 100%29 = %?29 * 100 / 43 = 67.443 = 100%14 = %?14 * 100 / 43 = 32.5Students who study more than eight hours:
19 + 36 = 5555 = 100%19 = %?19 * 100 / 55 = 34.555 = 100%36 = %?36 * 100 / 55 = 65.4Learn more about percentages in: https://brainly.com/question/29306119
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DUE TODAY PLEASE HELP!!!!!!!!!!!!!
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
cost=_____________+__________x monthly payment
_________+___+____x_________
________=_________
Why are both multiplication and addition used in the equation that represents Cole’s monthly payments?_____________________________
Answer:
Step-by-step explanation:
$335-$50 = $285
p = $285/(6 payments) = $47.50/payment