Answer:
Add to eliminate Y!
Step-by-step explanation:
each side is a -2y, you do the opposite- which is addition :D
Hope this helped you! Have a nice day!
A large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs. to investigate this claim researchers collected data from a random sample of the companys customers. the results were 305 wood, 121 plastic, and 74 metal. are the data from the sample consistent with the companys claim? conduct an appropriate statistical test at the 5% significance level to support your conclusion make sure to include parameters, check conditions, and show calculations before formulating a conclusion.
Answer:
In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.
Step-by-step explanation:
Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:
305 + 121 + 74 = 500
500 = 100
305 = X
305 x 100/500 = X
30,500 / 500 = X
61 = X
500 = 100
121 = X
121 x 100/500 = X
12,100 / 500 = X
24.2 = X
100 - 61 - 24.2 = X
39 - 24.2 = X
14.8 = X
Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.
Answer:
The Chi^2 value is 5.654. The p-value is .05919. The result is not significant at p < .05.
Step-by-step explanation:
To do this we need to do a goodness of fit chi-test
You can do it by hand or use a graphing calculator, but IMO using a calculator online is the easiest. Remember one sample is frequency while the other is in proportions so convert one to the other.
In other words if you're doing a proportions test divide 305/500 to get 0.61 and then plug that in next to the expected value of 0.65.
If you/re doing a frequency test, multiply 61% * 5 =325 and then plug that in next to 305.
Both a frequency and a proportion test will yield the same result so don't worry about which you choose.
Once you've plugged the values in you'll get a response like this:
The Chi^2 value is 5.654. The p-value is .05919. The result is not significant at p < .05.
Assume that all grade-point averages are to be standardized on a scale between 0 and 6. How many grade-point averages must be obtained so that the sample mean is within 0.013 of the population mean? Assume that a 98% confidence level is desired. If using the range rule of thumb, σ can be estimated as range/4=(6-0)/2=1.5. Does the sample size seem practical?
Answer:
The sample size 'n' = 72,030
Step-by-step explanation:
Step(i):-
Given that the Estimate Error = 0.013
Given that the standard deviation of the Population = 1.5
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
Step(ii):-
Given that the Level of significance = 0.98 or 0.02
Z₀.₀₂ = 2.326
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
[tex]0.013 = \frac{2.326 X 1.5 }{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{3.489}{0.013} = 268.38[/tex]
Squaring on both sides, we get
n = 72,030
Final answer:-
The sample size 'n' = 72,030
8 1/2 X 3 1/3 plz I need help for class
Answer:
use a calculator
Step-by-step explanation:
also if this is easier change 1/2 and 1/3 to 0.5 and 0.3 where it would be 8.5 x 3.3
the space provided.
17 cm
10 cm
22 cm
17 cm
19 cm
Calculate the area of the composite figure, which is not drawn to scale.
Area of the composite figure, which is not drawn to scale is,
⇒ 488 cm²
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the area of the composite figure, which is not drawn to scale.
Now, The figure is made by a rectangle and a triangle.
We know that;
Area of rectangle = Lenght x Width
Hence, We get;
Area of rectangle = Lenght x Width
Area of rectangle = 22 x 17
Area of rectangle = 374 cm²
And, Area of triangle = 1/2 × Height × Base
⇒ Area of triangle = 1/2 × (22 - 10) × 19
⇒ Area of triangle = 1/2 × 12 × 19
⇒ Area of triangle = 114 cm²
Thus, Area of the composite figure, which is not drawn to scale is,
⇒ 374 + 114 cm²
⇒ 488 cm²
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
help pleaseeeeeeeeeeeee
Answer:
B
Step-by-step explanation:
The mean is the average of all ages meaning that the ages are close to 11.6 but don't necessarily have to be 11.6.
The sum of a number and 4 times its reciprocal is 13/3
Find both possible numbers.
Answer:
3 ; 4/3
Step-by-step explanation:
x + 4(1/x) = 13/3
x + 4/x = 13/3
x^2 -13/3x + 4 = 0
3x^2 - 13x + 12 = 0
Δ = 169 - 144 = 25
x1 = (13 + 5)/6 = 3
x2 = (13-5)/6 = 4/3
Answer:
4/3 or 3
Step-by-step explanation:
Let, the number be x.
According to the question,
x+4×1/x=13/3
or, x+4/x=13/3
or, x^2+4/x=13/3
or, 3(x^2+4)=13x
or, 3x^2+12=13x
or, 3x^2-13x+12=0
or, 3x^2-(4+9)x+12=0
or, 3x^2-4x-9x+12=0
or, x(3x-4)-3(3x-4)=0
or, (3x-4)(x-3)=0
Either, Or,
3x-4=0 x-3=0
or, 3x=4 .•. x=3
.•. x=4/3
So, the possible numbers are 4/3 or 3.
What area is this shape ?
9514 1404 393
Answer:
40 square units
Step-by-step explanation:
The area can be considered as that of two trapezoids, a rectangle, and a triangle. The total area is the sum of the areas of these.
Draw two horizontal lines, one beginning at the left-most point, and another 2 units below that. Draw a vertical line segment extending the vertical line at the top down to the first horizontal line. Now the figure is divided as described above.
The upper left trapezoid has bases of 3 and 5, and a height of 4. Its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(3 +5)(4) = 16
The trapezoid between the two horizontal lines has bases of 8 and 7, and a height of 2. Its area is ...
A = (1/2)(8 +7)(2) = 15
The rectangle at upper right has a base of 2 and a height of 3. Its area is ...
A = bh
A = 2(3) = 6
The triangle at the bottom has a base of 3 and a height of 2. Its area is ...
A = 1/2bh
A = 1/2(3)(2) = 3
Then the total area of all of these pieces is ...
Area = 16 +15 +6 +3 = 40 . . . . square units
Answer:
the answer is 40 square units
Please help me thanks :)
Answer:
erin
Step-by-step explanation:
4 x 1/3 < 3 x 2/3
so erin is the answer
Answer:
Erin ate more
Step-by-step explanation:
⅓*4=1.3
⅔*3=2
(5 points) The population of a state changes due to births, deaths, and immigration. The annual birth rate is 14.3 births per 1000 residents, the death rate is 11.8 deaths per 1000 residents, the immigration rate into the state is 21.6 immigrations per 1000 residents, and the emigration rate out of the state is 5.5 emigrations per 1000 residents. Find the population growth rate as a percentage.
Answer:
The population growth rate is of 1.86%.
Step-by-step explanation:
Population growth rate:
Immigration plus births subtracted by emigration and deaths.
In this question, we have that:
Birth: 14.3 per 1000
Death: 11.8 per 1000
Immigrations: 21.6 per 1000
Emigrations: 5.5 per 1000
Rate:
[tex]\frac{14.3 + 21.6 - 11.8 - 5.5}{1000} = \frac{18.6}{1000} = 0.0186[/tex]
As a percentage:
Multiply by 100%. So
0.0186*100% = 1.86%
The population growth rate is of 1.86%.
30) The sum of three consecutive numbers is 27. What are the three numbers? A. 8, 9, 10 B. 6, 7 8 C. 11, 12, 13 D. 9, 10, 11
Answer:
The answer is A. 8, 9, 10
Answer:
A. 8, 9, 10.
Step-by-step explanation:
Consecutive numbers counting numbers which are 1 greater than the other, therefore:
x + (x + 1) + (x + 2) = 27
(x + x + x) + (1 + 2) = 27
3x + 3 = 27
–3 –3
3x = 24
÷3 ÷3
x = 8.
x = 8 → [ x + (x + 1) + (x + 2) ] =
(8) + (8 + 1) + (8 + 2) = 8 + 9 + 10
If right I’ll mark brainiest need ASAP
Answer:
The answer is 8
Answer:
16 inches
Step-by-step explanation:
First, do 56/7. You do this to see how much more feet it is than the scale. The answer is 8.
Because the answer is 8, you would multiply 2 inches by 8 to be proportional to 56 feet.
Toni runs a restaurant that receives a shipment of 200 oranges every day. According to the supplier,
approximately 11% of the population of these oranges is overripe. Suppose that Toni calculates the daily
proportion of overripe oranges in her sample of 200. We can assume the supplier's claim is true, and that the
oranges each day represent a random sample.
What will be the shape of the sampling distribution of the daily proportions of overripe oranges?
Choose 1 answer:
Skewed to the left
Skewed to the right
Approximately normal
Uniform
Answer: approximately normal
Step-by-step explanation:
Find the indicated area under the standard normal curve.
The total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is ___.
Answer:
0.1190
Step-by-step explanation:
If z = -1.18, the total area to the left under the standard normal curve is taken from the z-distribution table attached;
P(z < - 1.18) = 0.1190
Also, to the right of z = 1.18, we have;
P(z > 1.18) = 1 - P(z < 1.18)
From the second image attached from z-table, we have;
P(z > 1.18) = 1 - 0.8810
P(z > 1.18) = 0.1190
Thus, the total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is 0.1190
find the sum.Use fraction strips to help 1/6 + 1/3 + 1/6
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Since [tex]\frac{1}{6} and \frac{1}{6}[/tex] have the same denominators, we add them first. We then add [tex]\frac{1}{3}[/tex] to the result.
The cosine of a 30 degree angle is equal to the sine of a
Suppose that you decide to buy a car for 27,635, including taxes and license fees. You saved 5000 for a down payment and can get a four year car loan at 7.78% what is the monthly payment
Answer:
Monthly payment= $550.25
Step-by-step explanation:
First, we need to calculate the value of the loan:
Loan= 27,635 - 5,000
Loan= $22,635
Now, the monthly payment:
Interest rate (i)= 0.0778/12= 0.006483
n= 4*12= 48 months
Loan (PV)= $22,635
We need to use the following formula:
Monthly payment= (PV*i) / [1 - (1+i)^(-n)]
Monthly payment= (22,635*0.007483) / [1 - (1.006483^-48)]
Monthly payment= $550.25
please help me !!! i will mark brain-list for the correct answer !!!
Answer:
B
Step-by-step explanation:
So remember that a quarter of a circle is 90 degrees, a half of a circle is 180 degrees, and a whole circle is 360 degrees.
Looking at the image shown, it must be half a circle, whihc is 180 degrees. The image tells us that the 1st angle is 7 degrees. Now, we must find the 2nd angle.
Heres what we know however:
angle 1 + angle 2 = 180 degrees.
How do we know this?
Well, there are only 2 angles in this 180 degrees. We know that the first one is 7 degrees.
Lets input that into our nice lil equation to get an answer:
7 degrees+angle 2 = 180 degrees
Now lets solve.
Subtract 7 on both sides, and your left with:
angle 2 = 173 degrees.
So the answer must be:
173 degrees
Hope this helps! ;)
An educational psychologist wants to check claims that regular physical exercise improves academic achievement. To control for academic aptitude, pairs of college students with similar GPAs are randomly assigned to either a treatment group that attends daily exercise classes or a control group. At the end of the experiment, the following scores were reported for the six pairs of participants:
Pair Number Phyasical excercise(X1) No Physical excercise(X2)
1 4.00 3.75
2 2.67 2.74
3 3.65 3.42
4 2.11 1.67
5 3.21 3.00
6 3.60 3.25
7 2.80 2.65
a. Using t, test the null hypothesis at the .01 level of significance.
b. Specify the p-value for this test result.
c. If appropriate (because the test result is statistically significant), use Cohen's d to estimate the effect size.
d. How might this test result be reported in the literature?
Answer:
a. We fail to reject the null hypothesis
b. p > 0.01
c. The test result is not statistically significant
d. There not is enough statistical evidence to suggest that regular exercise improves academic achievement
Step-by-step explanation:
No. Physical Exercise (X₂); 3.75, 2.74, 3.42, 1.67, 3, 3.25, 2.65
Physical Exercise (X₁); 4.00, 2.67, 3.65, 2.11, 3.21, 3.60, 2.80
GPAs Pair number; 1, 2, 3, 4, 5, 6, 7
The null hypothesis, H₀; μ₁ ≤ μ₂
The alternative hypothesis, Hₐ; μ₁ > μ₂
From the data, we have;
[tex]\overline d[/tex] ≈ 0.222857
Where;
d = X₁ - X₂
[tex]\overline d = \dfrac{1}{n} \times \sum_{i = 1}^{n} d_i[/tex]
Similarly, we have;
[tex]s_d^2=\dfrac{\sum \left (d-\overline d \right )^{2} }{n - 1}[/tex]
From which we get;
[tex]s_d[/tex] ≈ 0.160905
The critical-t at n - 1 = 7 - 1 = 6 degrees of freedom for α = 1% = 0.01, is given as follows;
[tex]t_{\alpha /2}[/tex] = [tex]t_{(0.005, \, 6)}[/tex] = 3.707
The test statistic, t = [tex]\overline d[/tex]/([tex]s_d[/tex]/√n)
∴ t = 0.222857/(0.160905/√7) ≈ 3.664
The test statistic , t ≈ 3.664
Therefore, given that the test statistic is smaller than the critical-t,
b. The p-value estimate is p > 0.01
c. The test result is not statistically significant
d. The test result can be reported in a literature as that there is not enough statistical evidence to reject the null hypothesis, therefore, there not is enough statistical evidence to suggest that regular exercise improves academic achievement
What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm? 46.44 cm 3 19.32 cm 3 55.32 cm 3 14.16 cm 3
Answer:
16.44 would be your right answer
Step-by-step explanation:
Answer:
46.44 cm 3
Step-by-step explanation:
A type of hot tub holds 600 gallons of water one hose can fill the hot tub in 9 hours while another hose takes only 6 hours how long will it take for the hot tub to be filled if both hoses are used
Answer:
the answer is 40.
Step-by-step explanation:
[tex]t \: = \: \frac{600}{9 + 6} = 40[/tex]
Please actually do it im gonna k m s if someone answers this with a link again
Answer:
Top one, least to greatest:
[tex]-\sqrt{54}[/tex], [tex]-\frac{3}{9}[/tex], [tex]\frac{9}{5}[/tex], [tex]\pi[/tex], 6.6, [tex]\sqrt{75}[/tex]
Bottom one, greatest to least
9.6, [tex]\sqrt{34}[/tex], [tex]\frac{9}{9}[/tex], -4.2, [tex]-7\frac{2}{5}[/tex], [tex]-\sqrt{85}[/tex]
Answer:
Hope I helped and the answers are bellow
Step-by-step explanation:
Part A
-_/- 54 = - 7.38
-3/9 = - 0.3333
9/5 = 1.80
Pi= 3.14
Then 6.6
And finally _/- 75 = 8.66
Part B
9.6
_/- 34 = 5.83
9/9 = 1
-4.2
-7 2/5 = -7.40
-_/- 85 = - 9.21
A spinner is shown below. What is the probability of spinning a dotted or solid section?
a. 2/3
b. 1/2
c. 1/4
d. 1/5
Answer:
b
Step-by-step explanation:
There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2
Fill in the blank:
5/12 * __ = 1
Answer:
2.4
Step-by-step explanation:
5/12 * _ = 1
0.41666666666 x 2.4 = 1
The following square-based pyramid has a base area of 30 square units and a volume of 96 cubic units. The
cone has the same base area and height.
A
What is the volume of the cone?
Answer: 96 cubic units
Step-by-step explanation: I checked on Khan and that’s what they’re saying is the correct answer.
Answer:
The volume of the cone is 96 cubic unit.
Step-by-step explanation:
volume of squared based pyramid = (1/3) × (Base Area) × (Height).
96 [tex]unit^{3}[/tex] = (1/3)× 30×(Height)
9.6 unit = Height
volume of cone = (1/3) × (Base Area) × (Height).
= (1/3) × 30 × 9.6 unit
= 96[tex]unit^{3}[/tex]
Click here to know more about the volume of squared based pyramid .
https://brainly.com/question/9266950
#SPJ2
A home seller wants to net $15,000. If he has agreed to pay a 5% commission, the loan payoff is $94,000 and closing costs are $16,000, what must the minimum listing price be? Round to the nearest $100.
9514 1404 393
Answer:
$131,600
Step-by-step explanation:
If the listing price is P, then the net is the difference between that and all of the various costs.
P -(5%×P) -94,000 -16000 = 15,000
0.95P = 125,000
P ≈ 131,600 . . . . . . divide by 0.95
The minimum listing price must be $131,600.
please help me on this. the corerect answer gets brainliest
Answer:
a) 2
b) 1
c) 4
d) 8
e) 3
f) 9
g) 6
h) 5
i) 7
Step-by-step explanation:
Nolan has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 40 points for a free movie ticket.
Write and solve an inequality which can be used to determine
v
v, the number of visits Nolan can make to earn his first free movie ticket?
Answer:
V>_8
Step-by-step explanation:
20+2.5v >_ 40
The number of visits Nolan can make to earn his first free movie ticket is 8.
How many visits before Nolan wins a free movie ticket?The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.
Where x represents the number of visits to the movie theater.
In order to determine the value of x, take the following steps combine similar terms
2.5x ≥40 - 20
Add similar terms
2.5x ≥ 20
Divide both sides by 2.5
x ≥ 8
To learn more about inequality, please check: https://brainly.com/question/5031619
Can someone please solve this
This one takes time to type all the math work.
Let me see.
There are two triangles here.
They both have the same area.
A = (1/2)(base)(height) times 2
A = (1/2)(42)(56) times 2
A = 1,176 times 2
A = 2,352 inches^2.
We also have three rectangles. We need to find the area of each rectangle individually.
Area of bottom rectangle = 42 times 72 or 3,024 inches^2.
Area of back rectangle = 56 times 72 or 4,032 inches^2.
Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.
We now add all the areas together to find the total area of the entire figure.
Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2
Total area = 14,448 inches^2
Done!
Did you understand what was done here?
Hannah was setting up a room with tables for an event. The room had 12 popular tables and 3 maple tables. What is the probability that the first person to enter the room will be randomly seated at a maple table? Give your answer as a reduced fraction.
Answer:
4 , 12 divided by 3 equals 4
Step-by-step explanation:
Help!!! I will give brainliest to the person who is correct!!!! +THANKS and 5 STARS
Answer:
The second option which is 9π
Step-by-step explanation:
Well the fromula for finding area of a circle is
a=πr^2
We have the radius which is 3
3^2=9
9*π= 9π
9π=a
Answer:
3
Step-by-step explanation:
and i know this ;-;