Answer:
Step-by-step explanation:
Corresponding response ratings of wives and husbands form matched pairs.
The data for the test are the differences between the response ratings.
μd = the wives response ratings minus their husband's response ratings.
Wives. Husbands diff
2 2 0
2 1 1
3 2 1
3 3 0
4 2 1
2 1 1
1 1 0
1 1 0
2 2 0
4 4 0
Sample mean, xd
= (0 + 1 + 1 + 0 + 1 + 1 + + 0 + 0 + 0 + 0)/10 = 0.4
xd = 5.67
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2+ (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 = 2.4
Standard deviation = √(2.4/10
sd = 0.49
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9
2) The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (0.4 - 0)/(0.49/√10)
t = 2.581
3) We would determine the probability value by using the t test calculator.
p = 0.0148
4) Assume alpha = 0.05
Since alpha, 0.05 > than the p value, 0.0148, then we would reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that the mean difference in the husband's versus the wife's satisfaction level is negative
(5k+35) -8=12 need help solving this
Answer:
k= -6.48 approx
Step-by-step explanation:
(5k+35) -8=12
opening bracket
-45k-280=12
-45k=12+280
-45k=292
k=-6.48 approx
Answer:
Step-by-step explanation:
I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...
Marci has taken out a loan of $5,000 for a term of 24 months (2 years) at an interest rate of 8.5%. Use the amortization table provided to complete the statement.
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
Marci’s monthly payment will be $------, and her total finance charge over the course of the loan will be $------- .
Answer:
Correct answers are Marci's monthly payment: $227.30, and total finance charge: $455.20.
Step-by-step explanation:
24 months (2 years)
$45.46 x 5 = $227.30
$227.30 x 24 = $5,455.20
$5,455.20 - $5,000 = $455.20
The graph for the equation y = 2 x + 4
On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2 x minus 4
B) y = 2 (x + 2)
C) y = 2 (x minus 4)
D) y = x + 4
Answer:
a
Step-by-step explanation:
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W. 1) The appropriate hypotheses to determine if the manufacturer's claim appears reasonable are H subscript 0 colon________ and H subscript 1 colon________. (2 points) 2) For a test with a level of significance of 0.05, the critical value would be ________. (2 point) 3) The value of the test statistic is ________. (4 points) 4) Is there evidence that a compact microwave oven consumes a mean of no more than 250 W? (2 points)
Answer:
We conclude that a compact microwave oven consumes a mean of more than 250 W.
Step-by-step explanation:
We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.
They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
Let [tex]\mu[/tex] = mean power consumption for microwave ovens.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean power consumption for ovens = 257.3 W
σ = population standard deviation = 15 W
n = sample of microwave ovens = 20
So, the test statistics = [tex]\frac{257.3-250}{\frac{15}{\sqrt{20} } }[/tex]
= 2.176
The value of z test statistics is 2.176.
Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.
Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.
The surface area of a figure is 62cm^2 if the dimensions are multiplied by 5
The surface area of the new figure is,
⇒ 1550 cm²
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
The surface area of a figure is 62cm².
And, the dimensions are multiplied by 5.
Here, The surface area of a figure is 62cm².
After multiply by 5, surface area of the new figure is,
⇒ 5² × 65
⇒ 25 × 65
⇒ 1550
Thus, The surface area of the new figure is,
⇒ 1550 cm²
Learn more about multiplication visit:
https://brainly.com/question/1135170
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There are 80 sixth graders, 90 7th graders, and 70 8th graders at your school. Every student gets entered in a raffle. What is the probability that a 7th grade student will win the raffle?
Answer:
P(seventh grade winner) = 3/8
Step-by-step explanation:
different animals have different fields of view. humans can generally see a 180° arc in front of them. horses can see 215° arc. dogs can see a 240° arc. a dog, horse, and rider are in heavy fog , so they can see only 25 yards in any direction. what is the area of the riders field of view?
Answer:
The area of the riders field of view is 987.5 square yards.
Step-by-step explanation:
The human has a 180° arc view. If the rider can see only 25 yards, the area of the riders field of view is a semi-circle (180° arc) of 25 yards of radius.
The semi-circle of 25 yards of radius has an area of:
[tex]S=\dfrac{1}{2}\pi r^2=\dfrac{1}{2}\cdot3.16\cdot (25)^2=\dfrac{1}{2}\cdot3.16\cdot625=987.5[/tex]
The area of the riders field of view is 987.5 square yards.
Exponential form of xyyzzz
Answer:
xy²z³
Step-by-step explanation:
An exponent is a way to indicate the number of times the factor is repeated. When it is 1, it is rarely shown.
x is repeated once, so will appear without an exponent
y is repeated twice, so will have an exponent of 2
z is repeated 3 times, so will have an exponent of 3
__
xyyzzz = xy²z³
_____
In plain text, an exponent is indicated with a caret (^).
xy^2z^3
What is the midpoint of a line segment with endpoints (-2, 6) and (4, 3) in the
standard (x, y) coordinate plane?
Answer:
(1, 9/2) or (1, 4.5)
Step-by-step explanation:
To find the midpoint, take the x1 and x2 values and divide it by 2, same for the y values.
(4-2)/2 and (6 + 3)/2
1 and 4.5
(1, 4.5)
cuantos metros de encaje se necesita para el borde del un mantel circular que tiene 50 cm de radio
Answer:
157 cm
Step-by-step explanation:
El valor que se necesita para el borde del mantel es equivalente al perímetro del mantel.
Para un circulo de 50 cm de radio, el perímetro es:
[tex]P=\pi r=3.14\cdot 50=157[/tex]
Se necesitan 157 cm de encaje.
The value needed for the edge of the tablecloth is equivalent to the perimeter of the tablecloth.
For a circle with a radius of 50 cm, the perimeter is:
[tex]P=\pi r=3.14\cdot 50=157[/tex]
157 cm of lace are required.
Determine the volume of sphere with a radius of six inches. What is the volume of the sphere in terms of π?
Answer:
288π inch³
Step-by-step explanation:
V=4
/3πr³
by substituding in formulae
4/3*216π
=288π inch³
hope this helps
plzz mark me brainliest
What’s the correct answer for this question?
Answer:
C
Step-by-step explanation:
In the attached file
obteber dos números tales que la suma de uno de ellos con el doble del cuadrado del otro sea igual a 7776 , y el producto de ambos sea máximo
Answer: the numbers are 5,111.3 and 35.74
Step-by-step explanation:
I will answer this in English.
We have the numbers X and Y, ad we have that:
X + 2*Y^2 = 7776
X = 7776 - 2*Y^2
Now we also want that the product of X and Y is a maximum.
The equation of maximum product is
P(Y) = X*Y = (7776 - 2*Y^2)*Y
= 7776*Y - 2*Y^3
Now, to find the maximum we must derivate and find the value where P'(Y) is equal to 0
P'(Y) = 7776 - 6*Y^2 = 0
7776 = 6*Y^2
Y = √(7776/6) = 35.74
Now, we replace this value in the equation for X and we can find X:
X = 7776 - 2*Y^2 = X = 7776 - 2*(35.74)^2 = 5,111.3
HELP FAST PLEASE BRAINLIEST FOR ANSWER
Answer:
Arc = 20 / 3°
Step-by-step explanation:
Say the angle is = x
The sector = πr^2 / x
Sector = 100π / x
15π = 100π / x
15πx = 100π
x = 20 / 3
Arc is = to the central angle
Add the following weights:
6 lb 10 oz
+ 10 oz
lb
OZ
Answer:
7 lbs 4 oz
Step-by-step explanation:
6 lb 10 oz
+ 10 oz
---------------------
6 lbs 20 oz
But we know that there are 16 oz in 1 lb
So subtract 16 oz and add 1 lb
6 lbs 20 oz
+1 lb - 16 oz
--------------------------
7 lbs 4 oz
I need help on this
Answer:
a = 250 ; b = 10
Step-by-step explanation:
a = 5 × 10² / 2
a = 5 × 100 / 2
a = 500 / 2
a = 250
b = 2 × 10² (10-5) / 10×10
b = 2 × 100 × 5 / 100
b = 1000 / 100
b = 10
Which expression is equivalent to 36x2 - 25?
(18x) + (-5)
(18x)? – (5)
(6x)2 + (-5)
(6x)2 – (5)
Answer:
The equivalent expression is: (6x + 5)*(6x - 5)
Step-by-step explanation:
This expression is called the difference of two squares.
It has the following format: [tex]a^{2} - b^{2}[/tex]
It is factored as: [tex]a^{2} - b^{2} = (a-b)*(a+b)[/tex]
In this question:
[tex]a^{2} - b^{2} = 36x^{2} - 25[/tex]
So
[tex]a^{2} = 36x^{2}[/tex], then [tex]a = \sqrt{36x^{2}} = 6x[/tex]
[tex]b^{2} = 25[/tex], then [tex]b = \sqrt{25} = 5[/tex]
So
The equivalent expression is: (6x + 5)*(6x - 5)
Answer: (6x)^2 − (5)^2
Step-by-step explanation:
edge. 2022 got it right
A scientist wants to find the average weight of fish living in a large pond. So she will use the weights of 25 fish from the pond to find the average weight
Answer:
Use interval estimation to compute the average weight of fish living in a large pond.
Step-by-step explanation:
In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter.
The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).
Now according to the law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample ([tex]\bar x[/tex]) approaches the whole population mean (µ).
That is, [tex]\bar x[/tex] → µ as n → ∞.
The scientist uses the weights of 25 fish from the pond to find the average weight.
The sample is large, but not large enough.
So, use interval estimation to compute the average weight of fish living in a large pond.
The interval estimation is the best way to estimate the true value of a parameter. This is because the interval of values computed for the parameter has certain probability of containing the true parameter value.
The (1 - α)% confidence interval for population mean is an interval estimate.
The area of a parrellogram is 31.5ft and height is 6.3ft. What is the length of the base
Answer:
Area = base × height
31.5 = base × 6.3
base = 5 ft
Answer:
5 feet
Step-by-step explanation:
The area formula is A = b * h, where A is the area, b is the length of the base, and h is the height. Since we want to know the length of the base, we are solving for b. Thankfully, we know that A = 31.5 and h = 6.3. When we plug them into the equation, we get 31.5 = b * 6.3. Because we want b on one side without any coefficients and numbers on the other side, we can divide the equation by 6.3 on both sides. The equation will remain the same because we are doing the same thing to both sides. When we divide, we get b = 31.5 / 6.3 = 5 feet. Hope this helps!
What is the TOTAL surface area?
Answer:
SA=571.77
Step-by-step explanation:
SA==2πrh+2πr2=2·π·7·6+2·π·72≈571.76986
pls mark brainliest
Medical researchers conducted a national random sample of the body mass index (BMI) of 654 women aged 20 to 29 in the U.S. The distribution of BMI is known to be right skewed. In this sample the mean BMI is 26.8 with a standard deviation of 7.42. Are researchers able to conclude that the mean BMI in the U.S. is less than 27? Conduct a hypothesis test at the 5% level of significance using StatCrunch (directions) or calculating T and using the T-Distribution Calculator above. Based on your hypothesis test, what can we conclude?
Answer:
Check the explanation
Step-by-step explanation:
The distribution is right skewed but the sample size is large so we can use t - test here. The statistical software output for this problem is:
One sample T hypothesis test:
μ : Mean of population
[tex]H_0[/tex] : μ = 27
[tex]H_A[/tex] : μ < 27
Hypothesis test results:
Mean Sample Mean Std. Err. DF T-Stat P-value
μ 26.8 0.29014496 653 -0.68931061 0.2454
Since p - value > 0.05, do not reject .
Hence,
With a mean BMI of 26.8, the data supports the claim that the average BMI is less than 27, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean BMI for women aged 20 to 29 in U.S. is 27.
answer this ! please
A sphere has a diameter of 18 inches. What is the volume of this sphere? Use ≈ 3.14 and round your answer to the nearest tenth.
A. 24,429.0 cubic inches
B. 2290.2 cubic inches
C 7776.0 cubic inches
D 3053.6 cubic inches
Answer:
[tex] = 3053.6[/tex]
Answer D is correct
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \pi \times {9}^{3} \\
≈3053.62806 [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is of option D
Look at the attached picture
hope it will help you
Good luck on your assignment
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer: A
I just love your questions. You always put "No guessing" haha.
Step-by-step explanation:
[tex]f(x)=3^x+10x\\g(x)=2x-4[/tex]
[tex](f+g)(x)=[/tex]
This basically means you have to take both functions and add them together.
[tex](f+g)(x)=(3^x+10x)+(2x-4)\\(f+g)(x)=3^x+10x+2x-4\\[/tex]
Combine like terms;
[tex](f+g)(x)=3^x+12x-4[/tex]
A bag contains 26 tiles letters a through z find the probability of drawing two vowels with replacement find the probability of drawing two vowels without replacement round the answers to the nearest thousandths which event is independent which event is dependent
Answer:
With replacement, 0.037, independent
Without replacement, 0.031, dependent
Step-by-step explanation:
There are 5 vowels (not including y).
The probability the first letter is a vowel is 5/26.
With replacement, the probability the second letter is a vowel is also 5/26.
The total probability is (5/26) (5/26) = 0.037.
Since the first letter is replaced, the probability of the second letter is not affected, so the events are independent.
Without replacement, the probability the second letter is a vowel is 4/25.
The total probability is (5/26) (4/25) = 0.031.
Since the first letter is not replaced, the probability of the second letter is affected, so the events are dependent.
Mixed numbers from 2 to 5 with An interval of 1/4 between each pair of Mixed numbers
Answer:
2 1/4 ,2 1/2, 2 3/4, 3 1/4 ,3 1/2, 3 3/4, 4 1/4 , 4 1/2, 4 3/4
Step-by-step explanation:
These are the mixed numbers.
Find the value of X, Z and Y.
Answer:
x = 5; y = 138, z= 42
Step-by-step explanation:
4x- 17 = 3 [ opposite sides of a parallelogram are equal]
4x = 3+ 17 = 20; X= 20/4 = 5
138 + Z = 180( angle on a straight line)
Z is an alternate angles to the remaining angle off 138 forming the straight line.
z= 180-138 = 42 degrees
Y = 138 [ opposite angles of a regular quadilareral been equal]
Given function f(x)=x^2+5, determine the value of f(f(5))
Answer:
905
Step-by-step explanation:
So your original equation is f(x) = x² + 5
First lets work with the stuff inside the parentheses.
f(5) = 5² + 5 = 30
So now you are finding,
f(f(5)) => f(30)
f(30) = 30² + 5 = 900 + 5 = 905
i need help plz answer correctly thanks
Answer:
67
Not exactly sure on how to write it in though
Step-by-step explanation:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
Answer:
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Step-by-step explanation:
The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.
The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.
total length = 32 m
1 m = 100 cm
32 m = ?
cross multiply
total length in cm = 32 × 100 = 3200 cm
The first customer bought 120 cm
The second customer bought 14 m so let convert again.
1 m = 100 cm
14 m = ?
cross multiply
the second customer length in cm = 14 × 100 = 1400 cm
The amount left in the shop will be as follows
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm