Answer:-0.75
Step-by-step explanation: edge 2022
Let x stand for the percentage of an individual student's math test score. 64 students were sampled at a time. The population mean is 78 percent and the population standard deviation is 14 percent. What is the standard deviation of the sampling distribution of sample means?
Answer:
[tex]\sigma_x= 1.75\%[/tex]
Step-by-step explanation:
Given
[tex]n = 64[/tex]
[tex]\mu = 78\%[/tex]
[tex]\sigma = 14\%[/tex]
Required
The sample standard deviation
This is calculated as:
[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]
This gives:
[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]
[tex]\sigma_x= \frac{14\%}{8}[/tex]
[tex]\sigma_x= 1.75\%[/tex]
If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter () and area
Answer:
p=44,A=120
Step-by-step explanation:
P=10+12+10+12
P=44cm
A=10*12
A=120cm^2
A company produces three different types of wrenches: W111, W222, and W333. It has a firm order for 2,000 W111 wrenches, 3,750 W222 wrenches, and 1,700 W333 wrenches. Between now and the order delivery date, the company has only 16,500 fabrication hours and 1,600 inspection hours. The time that each wrench requires in each department is shown below. Also shown are the costs to manufacture the wrenches in-house and the costs to outsource them. For labeling considerations, the company wants to manufacture in-house at least 60% of each type of wrench that will be shipped.
Wrench Fabrication Hours Inspection Hours In-House Cost Outsource Cost
W111 2.5 0.25 $17.00 $20.40
W222 3.4 0.3 $19.00 $21.85
W333 3.8 0.45 $23.00 $25.76
Required:
a. How many wrenches of each type should be made in-house and how many should be outsourced?
b. What will be the total cost to satisfy the order?
Answer:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
Step-by-step explanation:
wrenches produced in-house ( W111 = x₁ W222 = x₂ W333 = x₃ )
x₁ x₂ and x₃
wrenches produced outside (W111 = x₄ W222 = x₅ W333 = x₆ )
x₄ x₅ and x₆
Objective function:
z = 17*x₁ + 20.40*x₄ + 19*x₂ + 21.85*x₅ + 23*x₃ + 25.76*x₆ to minimize
First constraint: Manufacturing hours: 16500
2.5*x₁ + 3.4*x₂ + 3.8*x₃ ≤ 16500
Second constraint: Inspection hours : 1600
0.25*x₁ + 0.3*x₂ + 0.45*x₃ ≤ 1600
Three demands constraint:
x₁ + x₄ = 2000
x₂ + x₅ = 3750
x₃ + x₆ = 1700
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0 x₅ ≥ 0 x₆ ≥ 0 all integers
After 6 iterations with on-line solver the solution is:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
How are these triangles congruent ?
- HL
- AAA
- ASA
Answer:
Congruent by AAA
Step-by-step explanation:
Given
[tex]\triangle MNP[/tex]
[tex]\triangle QST[/tex]
Required
The congruence rule
From the attached triangles, we have:
[tex]\angle M = \angle Q[/tex] --- A
[tex]\angle N = \angle S[/tex] --- A
[tex]\angle P = \angle T[/tex] --- A
Hence, the congruence rule is AAA
Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
right triangle
isosceles triangle
Answer:
An acute triangle
Step-by-step explanation:
Exercise 21.4
Write each of the following quadratic expressions in the form afx+p+
2. 6-2
1. 2r-58-12
4. 4-9-9
3. 20+ 6x-2
5. 3x² - 7x + 4
6. 7y + 19y-6
8. 107 + 9x + 2
7. 22 +51-42
9. 6 + 16x + 10
10.12716
5 Construction and simplification of formulae ar
quatil
inno
Answer:
B
Step-by-step explanation:
Sjdxdbnjenide because x029w09
Plz help me well mark brainliest if correct.....???
Answer:
A) Lydia
Step-by-step explanation:
Jane earns a 5.5% commission on the selling price of each home she sells. She earned $9,020 in commission on the sale of a home. What was the selling price of the home?
Answer:
"$164000" is the appropriate answer.
Step-by-step explanation:
Let the selling price be "s".
As per the question,
If Jane take 5.5% of selling price i.e.,
= [tex]0.055\times s[/tex]
Given commission,
= $9,020
then,
The selling price will be:
⇒ [tex]0.055\times s=9020[/tex]
[tex]s=\frac{9020}{0.055}[/tex]
[tex]=164000[/tex] ($)
State of the triangles in the pair are similar. If so, complete the similarity statement.
What is the area of the 50ft by 100ft yard?
Answer: 4410 [tex]ft^2[/tex]
Step-by-step explanation:
To find the area of a square or rectangle, all you need to do is multiply the length times the width:
L × W = A
The lengh is 100, and the width is 50
100 × 50 = 5000
However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.
First, let's get the two circles over with. To find the area of a circle, use this formula:
A = π[tex]r^2[/tex] r is the radius, which in this case, is 6
A = π[tex]6^2[/tex]
A = 113 This isn't the exact answer, the exact answer would be 113.0973...
Now let's multiply the area of one of those circles by 2, since we have 2 circles:
113 × 2 = 226
Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:
26 × 14 = 364
The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:
5000 - (226 + 364) = 4410 [tex]ft^2[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6). Robin thinks the probability is 136 based on the tree diagram they created. Steven disagrees and argues that the probability of rolling double sixes is 16. John counts twelve outcomes and claims the probability is 112.
Who correctly found the probability of rolling double sixes using the tree diagram?
A
Robin because there are 36 outcomes and only one is (6, 6).
B
Steven because there are 6 outcomes and only one is (6, 6).
C
Steven because there are 36 outcomes and six of them are (6, 6).
D
John because there are 6 outcomes for each and only one is (6, 6).
Answer:
A. Robin because there are 36 outcomes and only one is (6, 6).Step-by-step explanation:
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36Correct choice is A
The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.
We have given that,
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).
Robin thinks the probability is 136 based on the tree diagram they created.
Steven disagrees and argues that the probability of rolling double sixes is 16.
John counts twelve outcomes and claims the probability is 112.
What is the probability?The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36
Correct choice is A.
Therefore the Robin, because there are 36 outcomes and only one is (6, 6).
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
Evaluate the expression. 33 + 2 x 20 – 43 = _______________
Answer:
30
Step-by-step explanation:
yes
please help me solve this
Answer:
1. 140 degrees
2. 40 degrees
3. 65 degrees
4. 75 degrees
5 115 degrees
Step-by-step explanation:
1. The inside angle adjacent to angle 1 is 40. We know this because a triangle's interior angles have to add up to 180, and the only number when added to 140 (60+80) to equal 180 is 40. That means that 1 has to be the other part to equal 180.
2. The same rule occurs as before. This time angle 1 is 140, and the line they share's angles have to equal 180, so 2 is 40.
3. The same rule occurs as before with the 105 outside the triangle. 40 + X + 75 = 180, which means that 3 is 65.
4. Using the 105 we can deduce that 105 + X = 180.
5. We use the 40, and angle 4 + X to equal 180. Then we use the X to find 5 to be 115.
Sorry if that is confusing. Your book will probably have better explanations that I will.
Fatimah has 40 coins. Some of the coins are 50c coins and the rest are 20c coins. The total value is $16.10. How many 50c coins does Fatimah have?
Answer:
number of 50c = x
number of 20c = y
total coins 40
x +y = 40 ------(1)
0.5x + 0.2y = 16.10 ------(2)
from (1) => x = 40 - y
substitute x in (2)
0.5(40 -y) + 0.2y = 16.10
20 - 0.5y + 0.2y = 16.10
-0.3y = -3.9
y = 13
from (1) => x = 27
Answer: number of 50c = 27 coins
:)))))))))))))))))))))))))))))))))))
how old am i if 300 reduced by 2 times my age is 130
Answer:
Your age would be 85.
Step-by-step explanation:
I reduced 300 by 2 (Subtracting) and times it by variable x, and 130. X came out to be 85, so your age is 85.
What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters
what is 8/18 simplified
Answer:
4/9 is the answer
Step-by-step explanation:
you can divide by 2
so 8/2 = 4
then 18/2 = 9
so then you get your answer
4/9
which of the following cannot be simplified
✓46
✓72
✓75
✓104
Find 14.32 ÷ 3.5. Round your answer to the nearest hundredth.
Answer: 4.09
Step-by-step explanation:
4.09142857 rounded to the nearest hundredth is: 4.09
Which of the following is a major difference between a
hypothesis test with the t statistic formula and the test with a z‐
score?
a) You must know the population variance (or standard
deviation) for the z‐score but not for the t statistic.
b) You use the unit normal table to find critical values for
the z‐score test but not for the t test.
c) You must calculate the sample variance (or standard
deviation) for the t statistic but not for the z‐score.
d) All of the other options are major differences.
Answer:
What's the key difference between the t- and z-distributions? The standard normal or z-distribution assumes that you know the population standard deviation. The t-distribution is based on the sample standard deviation.
The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,
⇒ You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
We have to given that;
To find the major difference between a hypothesis test with the t statistic formula and the test with a z‐ score.
Now, We know that;
The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is the population variance (or standard deviation) for the z‐score but not for the t statistic.
Thus, The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,
⇒ You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.
Learn more about the standard deviation visit:
https://brainly.com/question/475676
#SPJ2
Jenna's bank account balance is $7. Kwan's bank account balance is
$6.Who has more money in the bank? Whose account balance
needs to change more to reach $0? Explain your thinking. Use
Comparison symbols and absolute value
symbols when you write
our answer.
Answer:
Jenna has more money in the bank because |7| > |6|
Step-by-step explanation:
|7| > |6|
The above equation is saying that the absolute value of seven is greater than the absolute value of six. Therefore, Jenna has more money in the bank and beause of this, her account balance would have to change more to reach $0.
I WILL GIVE U BRAINLIEST!!! A quadratic function is represented by the graph
Answer:
a)-2
b)(1,-2)
c)-3 and -1
d)3
Step-by-step explanation:
1.)
A.) x = -2
B.) (-2,-1)
C.) -3 and -1
D.) 3
2.)
A.) -10 and -6
B.) -8
C.) maximum is infinite and minimum is (-8,-4)
3.)
A.) y = -0.493x^2 + 23.380x + 996.029
B.) 1266.43
Plz help me well mark brainliest if correct....????
Answer:
C
Step-by-step explanation:
18 boys
Answer:
i think 18 msy be
Step-by-step explanation:
3.
Roy jogs at an average speed of 65 meters per minute. If
he targets to cover a distance of 975 meters. How many
minutes does he need to jog?
I need this now!!!
15 minutes
take the answer 975 - 65 every time then you count how much is 65 you get out of 975 then you will get your answer in the answer is 15 minutes
hey:)
it takes 15 minutes
[tex] \frac{1}{65} = \frac{?}{975} \\ 1 \times 975 \div 65 = \\ 975 \div 65 = 15[/tex]
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this has changed, so he is going to take a random sample of adults in his city and see what percent of them bike to work. Let p represent the proportion of adults in Elliot's city that bike to work.
Required:
What is an appropriate set of hypotheses for his significance test?
Answer:
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
Step-by-step explanation:
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.
At the null hypothesis we test if the proportion is still the same, that is, of 6%. So
[tex]H_0: p = 0.06[/tex]
At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So
[tex]H_1: p \neq 0.06[/tex]
What is an appropriate set of hypotheses for his significance test?
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
CORRECT (SELECTED)
z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=
240
0.06(0.94)
0.1−0.06
Aidan looked at how many people ride the morning
ferryboat. He made a dot plot for the data.
58 59 60 61 62 63 64 65 66 67
Number of people who ride
the morning ferry
According to Aidan's data, what is the typical number of people who ride the
morning ferryboat?
A. 58 people
B. 59 people
C. 64 people
a
D. 61 people
Answer:
Average number of people ride ferry boat = 62 or 63 people
Step-by-step explanation:
Given:
Number of people ride ferry boat
58 59 60 61 62 63 64 65 66 67
Find:
Average number of people ride ferry boat
Computation:
Average mean = Sum of all observation / Number of observation
Average number of people ride ferry boat = [58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 67] / 10
Average number of people ride ferry boat = [625] / 10
Average number of people ride ferry boat = 62.5
Average number of people ride ferry boat = 62 or 63 people
Find the missing side lengths. leave your answer as radicals simplest form
Answer:
Step-by-step explanation:
Both of the triangles are special 30-60-90 triangles
and the side lenghts for these angle mesurements are followed : q, q√(3),2q
q is given as 3 from the 9th question
so a = 6 (because it's 2q) and
b = 3
For the 10th question
the side length that sees 30 degrees is 3 which means q = 3 again
and x = 6
y = 3√(3)
HURRY PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer: The Person above is right....Credit goes to that person :)
It is 13
A basket holds n apples. You pick 2n-3 apples, and your friend picks n + 4 apples. Write an expression that represents the number of applies you and your friend picked. Interpret the expression
Answer:
a
Step-by-step explanation:
hii :)
so we cant add n numbers and not n numbers.
knowing this, we have to somehow put them together.
2n-3+n+4
adding the 2n and n together: 3n-3+4
add -3+4=1
resulting in
3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)
i hope this was easy to understand!