Answer:
1 3/10
Step-by-step explanation:
Find the common denominator.
6/15 times 2
12/30
3/10 times 3
9/30
3/5 times 6
18/30
Add.
12/30 + 9/30 + 18/30 = 39/30
Simplify
13/10 = 1 3/10
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.
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
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
Answer:
752.75 is correct
ED2021
what is the answer to the question expression 42+3.5h factored
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.
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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.
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
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?
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%
These two polygons are similar
y = [?]
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]
Can anyone find the simplest radical form
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
4. Savannah earns $247.00. How many
hours did she work?
2
Answer:
we need to know how much she earns per hour
Step-by-step explanation:
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]
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
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?
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
Which statement describes the effect on the parabola f(x)=2x•x-5x+3 when changed to f (x)= 2x•2-5x+1
Answer:
The parabola is translated down 2 units.
Step-by-step explanation:
You have the parabola f(x) = 2x² – 5x + 3
To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:
f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1 Expresion A
The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.
If p> 0 and q> 0, the parabola shifts p units to the right and q units up. If p> 0 and q <0, the parabola shifts p units to the right and q units down. If p <0 and q> 0, the parabola shifts p units to the left and q units up. If p <0 and q <0, the parabola shifts p units to the left and q units down.In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.
This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.
In conclusion, the parabola is translated down 2 units.
help pls
2 1
_ + _ =
6 3
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.
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.
Charmaine runs 4 miles in 30 minutes. At the same rate how many minutes would she take to run 10 minutes
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
solve with steps please?
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°
Solve two fifths plus two sevenths please help fast you only get 1 minute mark brainiest
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
(-2.4) - 0.8 times -4.3
Answer is this:
1.04
A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?
Answer:
about 5.8cm
Step-by-step explanation:
(Giving brainliest if u help!!)
Solve 9,168 ÷ 24 using standard algorithm
(Pls draw it out)
Answer:
382
Step-by-step explanation:
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 ?
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).
Who’s feeling the makeup look? cause i am!
Answer:
not me because its not my color
30% of the cars in a parking lot are green. If there 21 green cars, how many cars are parked in the parking lot?
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.
Mark up is 40% and the cost to store is 162 dollars what is the selling price
Answer:
$64.8
Step-by-step explanation:
hihihihihihihihihihihihihi
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!
Answer:
are the answers actual people or loyalist and patriots
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?
Answer:
BANANA
Step-by-step
Answer:
2/21
Step-by-step explanation:
In one year, a dog's weight increased from 64 to 80 pounds. By what percentege did the dog's weight increase?
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%
What expression can be used to add 7/10 + 13/20
an eight pack of juice cost 4.49 and a 12 pack of juice costs 6.59 which is one the better buy?
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.
Please give the right answer
Answer:
Just do 180-48!!
The answer is 132 degrees
Step-by-step explanation:
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.
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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