.A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000, and the standard deviation was $5000. If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than $83,500.
There is 1.70% that 50 homes have a value greater than $83,500.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard \ deviation,n=sample\ size[/tex]
μ = $82000, σ = 5000, n = 50. Hence for x > 83500:
[tex]z=\frac{83500-82000}{5000/\sqrt{50} }\\\\\\z=2.12[/tex]
From the normal distribution table, P(x > 83500) = P(z > 2.12) = 1 - P(z < 2.12) = 1 - 0.9830 = 0.0170 = 1.70%
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A manufacturer of electronic kits has found that the mean time required for novices to assemble its new circuit tester is 3 hours, with a standard deviation of0.20 hours. A consultant has developed a new instruc- tional booklet intended to reduce the time an inexpe- rienced kit builder will need to assemble the device. In a test of the effectiveness of the new booklet, 15 nov- ices require a mean of 2.90 hours to complete the job. Assuming the population of times is normally distrib- uted, and using the 0.05 level of significance, should we conclude that the new booklet is effective? Determine and interpret the p-value for the test.( DATA SET ) Note: Exercises 10.33 and 10.34 require a computer and statistical software.
Testing the hypothesis using the z-distribution, it is found that since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.
At the null hypothesis, we test if there has been no improvement, that is, the time is still of 3 hours. Hence:
[tex]H_0: \mu = 3[/tex]
At the alternative hypothesis, we test if there has been improvement, that is, the time is of less than 3 hours. Thus:
[tex]H_1: \mu < 3[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, the values of the parameters are: [tex]\mu = 3, \sigma = 0.2, \overline{x} = 2.9, n = 15[/tex].
Then, the value of the test statistic is:
[tex]z = \frac{2.9 - 3}{\frac{0.2}{\sqrt{15}}}[/tex]
[tex]z = -1.94[/tex]
The p-value of the test is the probability of finding a sample mean of 2.9 hours or less, which is the p-value of z = -1.94.
Looking at the z-table, z = -1.94 has a p-value of 0.0262.
Since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.
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What kind of decimal is 0.05? How do you know?
Answer:
0.05 is a terminating decimal
Step-by-step explanation:
0.05 is a terminating decimal because it has finite digits.
Answer:
a terminating decimal
Step-by-step explanation:
it has finite digits and when 1 is divided by 20, it leaves no remainder
mark me brainliest :D
A box weighs 64 ounces. What is the weight of the box in pounds?
Answer:
4
Step-by-step explanation:
its 4 because you have to convert ounces to pounds or pounds to ounces.
Answer:
4
Step-by-step explanation:
when we count ounces(Oz) to pound (ib) we should do
IB=Oz/16
IB=64/16
=4 this is your answer
Complete each short proof by providing the reason.
Answer:
B) Substitution Property of EqualityStep-by-step explanation:
According to the given:
m∠2 + m∠5 = 180° andm∠5 = 90°Substitute m∠5 into the first line to get line 3:
m∠2 + 90° = 180°This is option B:
Substitution Property of EqualityOption C
This is substitution property of inequality
Here given two expressions
m<2+m<5=180°m<5=90°Substitute m<5 in eq(1)
m<2+90=180m<2=180-90m<2=90Raul can hit a golf ball 26.4 yards.A.J. can hit a golf ball 10 times as far how far can A.J. hit the ball
Charlene operates an oil change and tune up service she chargers $33.95 per oil change a tune up is $72.50 for a four cylinder engine,$82.50 for a six cylinder engine and $92.50 for an eight cylinder engine what are the chargers for a week in which Charlene’s facility did 35 oil changes and tuned 5 four cylinder engines 7 six cylinder engines and 2 eig cylinder ht engines
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
See Below
Step-by-step explanation:
<4 and <8 are in corresponding positions in relations to the lines' intersection of the transversal, therefore they are corresponding angles.
<1 and <8 are on the outside, meaning they are exterior and on opposite sides. This means they are alternate exterior angles.
<1 and <5 are in corresponding positions in relations to the lines' intersection of the transversal, therefore they are corresponding angles.
<4 and <7 are on the inside, meaning they are interior and on the same side. This means they are same side interior angles.
what is 5 ft to 18 in.
Answer:
68 inches
Step-by-step explanation:
its sixty eight inches
What is the x-intercept of the line shown below? Enter your answer as a
coordinate pair.
Please help asap :(
Answer:
x-intercept: (1, 0)
Step-by-step explanation:
The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). Looking at the two points on the graph, one of them crosses the x-axis at point (1, 0). This represents the x-intercept of the line.
Therefore, the x-intercept of the line is (1, 0).
brainiest who whoever correct!!
Answer:
All triangles measure 180 degrees. Angle B in Triangle BCD is congruent to angle D in triangle ABD. Angle D in triangle BCD is congruent with Angle B in triangle ABD.
Given these statements M<C= 50 degrees
Step-by-step explanation:
68+62=130
180-130=50
m<C= 50
Name three other points with integer coefficients that are on the segment with the end points (4,9) and (8,9).
Answer:
Step-by-step explanation:
y = mx + b
m = Δy/Δx = (9 - 9) / (8 - 4) = 0
y = 9
is a horizontal line nine units above the x axis.
choose any 3
(-3, 9) (-2, 9) (-1, 9) (0, 9) (1, 9) (2, 9) (3, 9) (4, 9) (5, 9) (6, 9) (7, 9)
Please help ASAP thanks:)
Answer:
A. [tex]\frac{rs-t}{2}[/tex]
Step-by-step explanation:
Given the expression [tex]s = \frac{2x+t}{r}[/tex] isolate [tex]x[/tex]
The first step is multiply both sides by [tex]r[/tex] then you have
[tex]sr = 2x + t[/tex]
know substract both sides by [tex]t[/tex]
[tex]sr - t = 2x[/tex]
The last step is multiply by [tex]\frac{1}{2}[/tex] both sides of the equation and get the answer
[tex]\frac{sr - t }{2} = x[/tex]
A tortoise or land turtle might cover about 450 feet in half an hour. What is this speed in feet per minute.
Please explain step by step and I’ll mark you brainliest!
Answer:
15 feet per minute.
Step-by-step explanation:
speed = distance ÷ timespeed = 450 feet ÷ 30 minutes15 feet per minute = 450 feet ÷ 30 minuteshi people a pus 7 a= 16000
Answer:
A=2285.71428571 or rounded up is 2286
Step-by-step explanation:
7A=16000
7. 7
A=2286
Divide 7A to get A alone
:D hope i was able to help
What are the solutions to the following equation?
Answer:
What equation?
Step-by-step explanation:
A gopher left its burrow 2 feet underground and started digging deeper into the ground. It digs straight down at a constant rate of 3 feet per minute. How long does it take the gopher to reach 17 feet underground?
Enter your answer in the box.
Answer:
It was wrong but here is the correct answer
Step-by-step explanation:
Answer: I'm really late but here you go
Step-by-step explanation:
The survey below shows a science test grades from one state
What type of graph would be the most appropriate to use to graph the information
A. Double bar graph
B. Line graph
C. Histogram
D. Double line graph
3,4 and 5,12 find the slope
what is 10000 times 12
Answer: 120,000
Step-by-step explanation:
10,000 x 12 = 120,000
X+3y=55 -x+2y=20
Me ajude por favor
Answer:
x + 3y = 55
-x -x
3y = -x + 55
3 3
y = -1/3x + 55/3
-x + 2y = 20
+x +x
2y = x + 20
2 2
y = 1/2x + 10
Espero que esto ayude :)
Por cierto, no soy un hablante nativo de español.
2/3(x-6)=6 what value does x have to be to get 6
Answer:
The X would have to be 12!
Step-by-step explanation:
Because 2/3 is 6, 6 x 2 = 12 - 6 = 6
Answer:
15
Step-by-step explanation:
Using gemdas you would have to work in the parenthesis first and 15-6 is 9 multiplied by 2/3 is 6
y=1/2(x+8)+3 please show work also write in y=mx+b
Answer:
y = 1/2x + 7
Step-by-step explanation:
y= mx + b is written in slope- intercept form. Plug in the numbers.
you distribute 1/2 to x and to 8
y= 1/2x + 4 + 3
simplify
y= 1/2x + 7
the problem can't be anymore simplified
If you have any questions pls ask!
Given the figure below, find the values of x and z.
Answer:
x=5, z=107
Step-by-step explanation:
z=107 (vert opp angles)
z+13x+8=180 (adj angles on a str line)
107+13x+8=180
13x+115=180
13x=180-115
=65
x=65÷13
=5
in order to select new board members, the french club held an election. 8 members voted in the election and 42 did not vote. what percentage of the members voted
Answer:
16%
Step-by-step explanation:
If you do 8+42, you will find out there are 50 members. Do 8/50 and you get 0.16. Multiply it by 100 and you get your answer of 16, add the percentage at the end. Then you get your answer of 16%.
Answer:
16%
Step-by-step explanation:
Total members: 8+42 = 50
What percentage is 8 of 50
x/100 = 8/50
(8 * 100) / 50 = 16%
Solve this equation by completing the square 2 −12 + 36 = 44. Show your work. No other method will be accepted
Iḿ sorry I cannot be specific but it´s either 12.633 or 0.6.33
Sorry if it is not helpful
1/4 times the sum of a number and −3.2 is 1.8. What is the number?
Answer:
10.4
Step-by-step explanation:
Let the number be x
Sum of x and -3.2 : x + (-3.2) = x - 3.2
1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)
[tex]\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \ 3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\[/tex]
x = 10.4
Answer:
10.4
ANSWER:
(10 2/5)
Step-by-step explanation:
k12
There are 22 children at the park. 5 children are on the swings. The rest of the children are playing ball. How many children are playing ball?
Answer: 17
Step-by-step explanation:
22-5=17
The width of a rectangular painting is 3 in. less than the length. The area of the painting is 40 in ^2 .Find the length and width.
Answer:
Mark me as brainlist
Step-by-step explanation:
a) (h + 5)(2h + 8) is the expression for the combined area of the painting and frame
b) The combined area when h = 12 is 544 square inches
c) The combined area when h = 15 is 760 square inches
Solution:
Given that,
A frame that is 2.5 inches wide goes around the painting
The frame will go around all 4 sides of the painting.
That means that the length of each side of the painting will increase by 2.5 inches
Therefore,
The height of painting and frame is:
h = h + 2.5 + 2.5
h = h + 5
(2.5 inches on the top and the bottom)
Also given that,
Width of a rectangular painting is 3 inches more than twice the height
w = 3 + 2h
Now the width of painting and frame is:
w = 3 + 2h + 2.5 + 2.5
(Again, 2.5 inches on the top and the bottom)
w = 2h + 8
Thus the combined area of the painting and frame is:
B) Substitute h = 12 inches
Thus the combined area when h = 12 is 544 square inches
C) Substitute h = 15 inches
Thus combined area when h = 15 is 760 square inches
Picture 1: Find the measure of each angle indicated. Picture 2: Solve for x
Answer: x = 1
Explanation: Correct me if I'm wrong
