Answers
Related Questions
The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unknown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.
Answers
Answer:
EBM = +-54.126
Step-by-step explanation:
In this question we have confidence interval to be 80%
The formula to solve this is in the attachment.
Bar X = 1460
Z-alpha/2 = 1.282
Sd = standard deviation = 198 employees
n = 22 departments
After we have inserted all values in to the formula we have:
1460 +-(1.282*198/√22)
= 1460+-(54.12604)
= (1405.87, 1514.126)
The error bounded mean EBM
= +-z-alpha/2 x (sd/√n)
= 1.282 x 198/√22
= 1.282 x 42.22
EBM = +-54.126
an eight pack of juice cost 4.49 and a 12 pack of juice costs 6.59 which is one the better buy?
Answers
Answer:
12-pack
Step-by-step explanation:
We find the unit cost of each one by dividing its price by the number of juice containers.
4.49/8 = 0.56125
6.59/12 = 0.5491666...
The 12-pack has a lower unit cost, so the 12-pack is a better buy.
Suppose a car that sells for $40,000 depreciates 10% per year. How many
years would it take for the car to have a value less than $25,000?
Answers
Answer:
It would take 5 years for the car to have a value of less than $25,000
Step-by-step explanation:
Exponential Decaying Model
The exponential function is often used to model natural decaying processes, where the change is proportional to the actual quantity.
We have the initial value of a car is $40,000. Each year it depreciates by 10%.
Thus the first year its value is 90% of the initial value:
V1 = 90 * $40,000 / 100 = $36,000
By the second year its value is 90% of $36,000:
V2 = 90 * $36,000 / 100 = $32,400
Note the value for a year n is the original value multiplied by 90% (or 0.9) to the power of n:
[tex]Vn = $40,000 \cdot 0.9^n[/tex]
To find the number of years needed to have a value of less than $25,000, we solve the equation:
[tex]40,000 \cdot 0.9^n = 25,000[/tex]
Dividing by 40,000:
[tex]0.9^n = 25,000/40,000 = 0.625[/tex]
Taking logarithms:
[tex]n\log 0.9=\log 0.625[/tex]
[tex]n=\log 0.625 / \log 0.9[/tex]
n =4.5
We'll round up to n = 5
It would take 5 years for the car to have a value of less than $25,000
A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?
Answers
Answer:
about 5.8cm
Step-by-step explanation:
To paint, a House, a painting company charges a flat rate of $400 for supplies, plus 60$ for each hour of labor. Write an equation for this situation.
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60 is the slope because they get payed $60 hourly, so the money is constantly increasing. 400 would be the y-intercept because it’s a constant. It doesn’t increase, it stays the same.
help pls
2 1
_ + _ =
6 3
Answers
Answer: 21, 21
Step-by-step explanation: 21 × 3 = 63, so 21 + 21 + 21 is 63.
Answer:21,21
Step-by-step explanation:
21 × 3 = 63, so 21 + 21 + 21 is 63.
Which statement is TRUE for the given triangles? A) The triangles are similar because the ratios of the corresponding sides are the same. B) The triangles are not similar because they are not the same size. The triangles are not similar because they are not equilateral. D) Similarity cannot be determined because angle measurements are not given.
Answers
Similarity cannot be determined because angle measurements are not given. Option D is correct.
Given that,
A figure is shown we have to determine whether the given triangles are similar or not.
Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
The ratio of the sides is not equivalent,
70/13 ≠ 42 / 25 ≠ 94 / 30
and also the angles are not given,
Thus, similarity cannot be determined because angle measurements are not given. Option D is correct.
Learn more about similar triangles here:
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Can anyone find the simplest radical form
Answers
Answer:
C.) [tex]55[/tex]
Step-by-step explanation:
Simplify the expression by finding the square root of 25:
[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]
The answer is 55
:Done
Who Said It?
Read the statements below. Write Lifa Loyalist said it, or Pif
a Patriot said it.
1. "England has supported this colony since the beginning. Some of these
colonists are not grateful for that, but Icertainly am!
2 'I believe in this battle for independence, and am willing to fight for it!"
3 "I hope the British troops overwhelm this local untrained militia.'
4
'I was born in England and remain loyal to her."
5. *It's time to take a stand. We will no longer pay those taxes imposed on the
colonies!"
6. 'Losing Savannah and Augusta to the British is a bad blow but we must
continue to fight!
Answers
Answer:
are the answers actual people or loyalist and patriots
Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are the coordinates of E ?
Answers
Answer:
E(29/4,3)
Step-by-step explanation:
Given that,
Segment CD has point E located on it such that CE:ED = 3:5
The coordinates of C and D are (5, -6) and (11,18) respectively.
We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :
[tex](x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3[/tex]
So, the coordinates of E are (29/4,3).
Solve two fifths plus two sevenths please help fast you only get 1 minute mark brainiest
Answers
First, you will want to get the denominators of both fractions to be the same, the easiest way to do this is by multiplying the denominators, so 5 x 7 = 35
next you need to do the same for the numerators, so 2 x 7 = 14 and 2 x 5 = 10
now you have the equation 14/35 + 10/35
next, you add the numerators. so, 14 + 10 = 24
therefor, 2/5 + 2/7 =24/35
so your answer is 24/35
Answer:
c
Step-by-step explanation:
the guy is a champ
solve with steps please?
Answers
Answer:
Step-by-step explanation:
m∠1 = x
m∠2 = 3x
m∠3 = ( [tex]\frac{1}{3}[/tex] )(3x) = x
x + 3x +x = 180°
x = 36°
m∠1 = 36°
m∠2 = 108°
m∠3 = 36°
30% of the cars in a parking lot are green. If there 21 green cars, how many cars are parked in the parking lot?
Answers
Answer:
70 cars
Step-by-step explanation:
Let x cars are parked in the parking lot.
[tex]30\% \: of \: x = 21 \\ \\ \frac{30}{100} \times x = 21 \\ \\ x = 21 \times \frac{100}{30} \\ \\ x = \frac{2100}{30} \\ \\ x = 70 \: [/tex]
70 cars are parked in the parking lot.
4. Savannah earns $247.00. How many
hours did she work?
2
Answers
Answer:
we need to know how much she earns per hour
Step-by-step explanation:
These two polygons are similar
y = [?]
Answers
Answer:
w = 9
x = 12
y = 5
z = 3
Step-by-step explanation:
The corresponding sides of similar polygons are proportional.
Therefore:
[tex] \frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2} [/tex]
Solve for each variable as follows:
✔️[tex] \frac{w}{3} = \frac{6}{2} [/tex]
Multiply both sides by 3
[tex] w = \frac{6}{2} \times 3 [/tex]
[tex] w = 3 \times 3 [/tex]
[tex] w = 9 [/tex]
✔️[tex] \frac{x}{4} = \frac{6}{2} [/tex]
Multiply both sides by 4
[tex] x = \frac{6}{2} \times 4 [/tex]
[tex] x = 3 \times 4 [/tex]
[tex] x = 12 [/tex]
✔️[tex] \frac{15}{y} = \frac{6}{2} [/tex]
Cross multiply
[tex] y \times 6 = 2 \times 15 [/tex]
[tex] 6y = 30 [/tex]
Divide both sides by 6
[tex] y = 5 [/tex]
✔️[tex] \frac{9}{z} = \frac{6}{2} [/tex]
Cross multiply
[tex] z \times 6 = 2 \times 9 [/tex]
[tex] 6z = 18 [/tex]
Divide both sides by 6
[tex] z = 3 [/tex]
what is the answer to the question expression 42+3.5h factored
Answers
Answer:
7/2(12+h)
Step-by-step explanation:
The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
Here, we have,
given that,
the expression 42+3.5h
we have to find the factored form.
From the given information:
The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5
So factoring 3.5 from the expression 42 + 3.5h, we get:
= 3.5 ( 12 + h)
= 7/2 ( 12 + h)
Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
To learn more on Expression click:
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I REALLY NEED THIS PLEASE ANSWER IT. ITS 50 POINTS.
Josh loves to sing and enters a karaoke contest. The singing order for the 21 contestants is randomly selected. What is the probability that Josh is not one of the first two singers?
Answers
Answer:
BANANA
Step-by-step
Answer:
2/21
Step-by-step explanation:
Who’s feeling the makeup look? cause i am!
Answers
Answer:
not me because its not my color
On the basis of a survey of 545 television viewers, a statistician has constructed a confidence interval and estimated that the proportion of people who watched the season premiere of Glee is between .16 and .24. What level of confidence did the statistician use in constructing this interval?
Answers
Answer:
0.98 also 98%
Step-by-step explanation:
In this question we have the Lower limit to be 0.16
We have the Upper limit to be 0.24
Such that (0.16+0.24)/2 = 0.40/2 = 0.20
Standard deviation= √(0.2x0.8/545) this gives 0.017134
Next we get margin of error
Margin of error = 0.24-0.20 = 0.04
Z multiplied by sd =0.04
Such that
Z = 0.04/0.017134 =2.33
On this z score, the Corresponding level of confidence is 0.98
Which is 98%
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)f(x) = 3 â 48x + 4x2, [5, 7]
Answers
Answer:
Step-by-step explanation:
The given equation is:
f(x) = 3 - 48x + 4x² [5,7]
where; f(x) is continous and derivable in [5,7]
f'(x) = -48x + 8x
f(5) = 3 - 48(5) + 4(5)² = -137
f(7) = 3 - 48(7) + 4(7)² = -137
Thus, it satisfies the hypotheses of Rolle's Theorem
f'(x) = f'(c) = 0
-48 + 8c = 0
c =48/8
c = 6
Mark up is 40% and the cost to store is 162 dollars what is the selling price
Answers
Answer:
$64.8
Step-by-step explanation:
hihihihihihihihihihihihihi
In one year, a dog's weight increased from 64 to 80 pounds. By what percentege did the dog's weight increase?
Answers
Answer:
125%
Step-by-step explanation:
first set up a proportion where 80 is over 64 and x is over 100 . 80/64=x/100
then cross multiply and divide to get 125%
If there are 7 girls and 8 boys on the school’s track team, what is the ratio of girls to boys? how would I answer in three different ways.
Answers
Answer:
7:8
7 to 8
7/8
Step-by-step explanation:
Answer:
49:56
7/8
.875
Step-by-step explanation:
Here's 3 different ways
(-2.4) - 0.8 times -4.3
Answers
Answer is this:
1.04
Please give the right answer
Answers
Answer:
Just do 180-48!!
The answer is 132 degrees
Step-by-step explanation:
What expression can be used to add 7/10 + 13/20
Answers
(Giving brainliest!!)
How would the decimal point move to solve the equation 124 ÷ 101 = ________?
A) 1 place to the left
B) 1 place to the right
C) 2 places to the left
D) 2 places to the right
Answers
Answer:
1 place to the right
Step-by-step explanation:
hope it help
A data set is Normally distributed with a mean of 750 and a standard deviation of 55. What is the value of a data element that has a z-value of 0.05? Give your answer to two decimal places.
752.75 IS THE CORRECT ANSWER
Answers
Answer:
752.75 is correct
ED2021
(Giving brainliest if u help!!)
Solve 9,168 ÷ 24 using standard algorithm
(Pls draw it out)
Answers
Answer:
382
Step-by-step explanation:
Charmaine runs 4 miles in 30 minutes. At the same rate how many minutes would she take to run 10 minutes
Answers
Answer:
It will take her 75 minutes To run 10 miles.
Step-by-step explanation:
I believe to run 10 miles (not minutes)
30/4= 7.5 minute per mile
7.5*10= 75 minutes
Answer:
10x0.133=1.33 so approximately 1.3 miles
Step-by-step explanation:
Charmaine runs 0.133 miles per minute