Answer:
33.6% of X = 26800
X = 26800 / 33.6%
= 26800 / 0.336
= 79762
Note the answer is rounded
Step-by-step explanation:
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)
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.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
B
Step-by-step explanation:
A function has at most one y value for every x value. This means that for every vertical line, there can be at most one intersection.
This example clearly doesn't satisfy this requirement.
What design principle is stressed for experiments or observational studies?
Choose the correct answer below.
A. Using dependent samples with paired data is generally better than using two independent samples.
B. When using paired data, keep the sample very small in order to keep the data manageable.
C. The methods for dependent samples can be used for any matched pairs.
D. Using two independent samples is the best choice for accurate results.
Answer:
A). Using dependent samples with paired data is generally better than using two independent samples.
Explanation:
Observational studies is the research/study design in which the investigator observes the samples collected from the population in their natural pattern to make valid inferences without any kind of manipulation or interference. While the experimental studies involves a controlled or manipulated variable in order to check its impact over the independent variable and the relation between the two.
As per the question, the design principle that is emphasized for both the studies would be 'employing dependent samples along with the paired data is usually effective than employing two independent samples' as the former concerns one set of elements that makes them 'self-evident'(as the subjects of one sample can be employed to determine the subjects of other). Thus, option A is the correct answer.
Whats the geometric sequence for 5,20,80,320
Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all eight questions, find the indicated probabilities. (Round your answers to three decimal places.)
(a) What is the probability that he will answer all questions correctly?
(b) What is the probability that he will answer all questions incorrectly?
(c) What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table.
Then use the fact that P(r ≥ 1) = 1 − P(r = 0).
(d) What is the probability that Richard will answer at least half the questions correctly?
Answer:
1. P(all are correct) =0.00000256
2. P ( all are incorrect) = 0.1677
3. P( at least one correct ) = 0.8310
c. P(r ≥ 1) = 0.8322
d. P ( half the questions are incorrect) = 0.046
Step-by-step explanation:
Let A be the event that he will choose the correct answer and there is only one correct answer out of 5 choices so the probability of A = P(A)= 1/5
As there are 8 number of questions so n= 8
Applying the binomial theorem
P(all are correct) = ⁸C₈ (1/5)⁸ (4/5)°= 1* 1/5*5*5*5*5*5*5*5 (1)
a. P(all are correct) = 1/625 *625= 1/390625= 0.00000256
b. P ( all are incorrect) = ⁸C₀ (1/5)° (4/5)⁸= 1* 4*4*4*4*4*4*4*4/5*5*5*5*5*5*5*5 (1)= 256*256/625 *625= 65336/390625 = 0.1677
c. P( at least one correct ) = P (one Correct) + P( 2 Correct) + P (3 correct) + P( 4 correct) + P ( 5 correct) + P ( 6 correct) + P ( 7 correct) + P ( 8 correct)
P( at least one correct ) = 0.00008192+ 0.00114688+ 0.00917504 + 0.0458752 + 0.14680064 + 0.29360 + 0.335544 +0.00000256
P( at least one correct ) = 0.8310
P (one Correct) = ⁸C₇ (1/5)⁷ (4/5)= 8* 1/5*5*5*5*5*5*5 * 4/5 = 0.00008192
P( 2 Correct) = ⁸C₆ (1/5)⁶ (4/5)²= 28 * 1/5*5*5*5*5*5* 16/25= 0.00114688
P (3 correct)=⁸C5₅ (1/5)⁵ (4/5) ³= 56* 1/5*5*5*5*5* 64/125 = 0.00917504
P( 4 correct) = ⁸C₄(1/5)⁴ (4/5)⁴= 70* 1/5*5*5*5 * 256/625 = 0.0458752
P ( 5 correct) = ⁸C₃ (1/5)³ (4/5)⁵= 56 * 1/5*5*5 *1024/ 3125 = 0.14680064
P ( 6 correct)= ⁸C₂ (1/5)² (4/5) ⁶= 28* 1/5*5 * 4096 /15625= 0.29360
P ( 7 correct) = ⁸C₁ (1/5) (4/5)⁷= 8* 1/5 * 16384/78125 = 0.335544
P(r ≥ 1) = 1 − P(r = 0).
=1- 0.1 677 = 0.8322
d. P ( half the questions are incorrect) =⁸C₄ (1/5)⁴ (4/5)⁴
= 70 * 1*1*1*1/ 5*5*5*5* 4*4*4*4/5*5*5*5 = 70 * 1/ 625* 256/625 = 0.0458= 0.046
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.
The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?
Answer:
86.5 m
Step-by-step explanation:
Length of the string forms the hypotenuse AC of right angle triangle ABC.
C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular (height of the kite ) from C on the ground. BC is the horizontal.
Sin 60° = CB/AC = √3/2
height = 1.73/2 * AC = 0.865 * 100 m = 86.5 m
Select each expression that is equivalent to 5(n + 4).
Answer:
5n+20
Step-by-step explanation:
5(n+4)
Distribute
5*n+5*4
5n+20
If you have time in the day please help me
Answer:
i think its B
Step-by-step explanation:
i think itd most accurate t b
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
After four years in college, Josie owes $21000 in student loans. The interest rate on the federal loans is 3% and the rate on the private bank loans is 4.4%. The total interest she owes for one year was $714.00.What is the amount of each loan?
Answer:
$104.27 is the amount at 3% and $20895.73 is the amount at 4.4%
Step-by-step explanation:
We are given that Josie owes $21000 in student loans.
Let x be principal at 3% rate of interest
Time = 1 year
Formula:[tex]A=P(1+r)^t[/tex]
[tex]A=x(1+0.03)^1[/tex]
A=1.03x
Interest = Amount - Principal
Interest = 1.03x-x=0.03x
So, (21000-x) is the principal at 4.4% rate of interest
Formula:[tex]A=P(1+r)^t[/tex]
[tex]A=(21000-x)(1+\frac{4.4}{100})^1[/tex]
A=21924-1.044x
Interest = 21924-1.044x-21000-x=924-2.044x
The total interest she owes for one year was $714.00
So, 0.03x+924-2.044x=714
x=104.27
So, $104.27 is the amount at 3%
The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73
Hence $104.27 is the amount at 3% and $20895.73 is the amount at 4.4%
PLZZ HELP!
Given the function f(x)=2(x-1)^2+3
a)What is the vertex?
b)What is the axis of symmetry?
Answer:
a) (1,3)
b) x=1
Step-by-step explanation:
The general form of a parabola in vertex form is f(x)=a(x-h)^2+k, where h is the x coordinate of the vertex, and k is the y coordinate, while a indicates how "squished" the graph is, or how quickly it grows in relation to the parent graph. In this case, h is shown to be 1, and k is 3, meaning that the vertex is at (1,3). The axis of symmetry , for a vertical parabola, just runs vertically through the vertex, meaning that in this case it is at x=1. Hope this helps!
Answer:
(1,3) and y-axis
Step-by-step explanation:
The vertex is the value of x at maximum or minimum point
At maximum point
dy/ dx = 0;
dy/dx = 4(x-1)= 0
=>x= 1 and is the vertex
Y when x = 1; we substitute x=1 in the original equation.
f(x) =y =2(x-1)^2+3
y = 2(1-1)^2 +3
y = 0 + 3= 3
The vertex is (1,3)
2.
A symmetrical equation is given by
b^2 = 4ac
Looking at the equation above x has an order of 2 meaning a possibility of cutting the x axis on two values of x
Hence the axis of symmetry is the y-axis
Assuming this was the expression; the axis of rotation would have been the x-axis.
f(y)=2(y-1)^2+3
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:
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.
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.
What is the best estimate for the width of a sidewalk?
>) 10 meters
>) 1 meter
10 centimeters
1 centimeter
Answer:
10 meters because it can't be 1 or 10 cenemiters because that's way too short and 1 meter i ls only 12 inches so thats also too short so it has to be 10 meters
help me please and thank you
Answer:
m<10 = 92°
m<5 = 106° (I think because of correspondence)
m<8 =92°
m<14 = 74°
m<3 = 106°
<1 and <4 are corresponding angles
<2 and <3 are same side interior angles
<3 and <4 are vertical angles
<4 a d <6 are Alt. Interior Angles
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
You deposit $2,000 at the end of each year into an account earning 2% interest compound annually. How much will you have in the account in 15 years?
Answer:
Simple interest = $600
Step-by-step explanation:
In this word problem, we will need to find the simple interest.
Formula:
I = prt or I = p x r x t
Simple interest: final answer
I = (2,000)(.02)(15) multiply.
I = 600
Simple interest: $600
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
(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...
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.
What is the first step to simplify the expression 5(8x-4)+12
Answer:
8 • (5x - 1)
Step-by-step explanation:
Step 1 : See below
Step 2 : See below
Pulling out like terms/ factors
8x - 4 = 4 • (2x - 1)
Equation at the end of step 2 :
20 • (2x - 1) + 12
Step 3 : See below
Step 4 : See below
Pull out like factors:
40x - 8 = 8 • (5x - 1)
Answer: 8 • (5x - 1)
Hope this helps.
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
#SPJ6
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
If the radius of a circle is 44 cm, then what is the diameter?
no guessing!!
Step-by-step explanation:
diameter = 2 * radius
= 2 * 44
= 88 cm (ANS)
Answer:
The diameter will be 88cm (Not a guess :P)
Step-by-step explanation:
So since we know that the radius is half the diameter we simply multiply 44*2 to get 88 as our diameter
Not hard, right? :P
Hope this helped! :)
Brainiest is most appreciated if possible
Sorry for any mistake that I made in advance
Test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. At the 0.05 significance level, test the claim that the mean score is not affected by the course. Assume all requirements are met. Use the critical value method of testing hypotheses.
Before 74 83 75 88 84 63 93 84 91 77
After 73 77 70 77 74 67 95 83 84 75
A. State the null hypothesis (H_0) and the alternate (H_1).
B. What is the test statistic and the critical value(s.
C. Find the confidence interval values.
D. Interpret the information and state what can you say about the claim?
Answer:
Step-by-step explanation:
The hypotheses are:
Null Hypothesis
[tex]H_0 : \muafter = 0[/tex]
Alternative Hypothesis
[tex]Ha: \mu\neq 0[/tex]
Since the t-statistic score is greater than the critical t-score, so the decision is to reject the null hypothesis.
See image for detailed solution
Answer:
Step-by-step explanation:
Corresponding test scores of students before and after they completed a formal logic course.
The data for the test are the differences between the test scores.
μd = the score before minus score after
Score before score after diff
74 73 1
83 77 6
75 70 5
88 77 11
84 74 10
63 67 - 4
93 95 - 2
84 83 1
91 84 7
77 75 2
Sample mean, xd
= (1 + 6 + 5 + 11 + 10 - 4 - 2 + 1 + 7 + 2)/10 = 3.7
xd = 3.7
Standard deviation = √(summation(x - mean)²/n
n = 10
Summation(x - mean)² = (1 - 3.7)^2 + (6 - 3.7)^2 + (5 - 3.7)^2+ (11 - 3.7)^2 + (10 - 3.7)^2 + (- 4 - 3.7)^2 + (-2 - 3.7)^2 + (1 - 3.7)^2 + (7 - 3.7)^2 + (2 - 3.7)^2 = 220.1
Standard deviation = √(220.1/10
sd = 4.69
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9
The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (3.7 - 0)/(4.69/√10)
t = 2.49
The test is a left tailed test. From the t distribution table, the t score corresponding to the significance level is 2.262
In order to reject the null hypothesis, the test statistic must be smaller than - 2.262 or greater than 2.262
Since - 2.49 < - 2.262 and 2.49 > 2.262, we would reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that for the test scores before and after, the mean difference is lesser than zero
The circumference of a circle 69.1 yard. what is the diameter?
Answer:
D = 22 yards
Step-by-step explanation:
D = C ÷ π
D = 69.1 ÷ 3.14
D = 22.006
D = 22 yards
Calculate area of triangle
Answer:
99cm²
Step-by-step explanation:
Area of a Triangle: [tex]A=\frac{1}{2} bh[/tex]
B- base
H- height
We are given a base of 18 cm and a height of 11cm.
[tex]A=\frac{1}{2} 18*11\\\\A=\frac{1}{2} 198\\\\\boxed{A=99}[/tex]
The area of the triangle should be 99cm².