There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]
Given that μ = 20, σ = 7, n = 125.
For x = 19.25:
[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]
From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%
There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
Find out more on z score at: https://brainly.com/question/25638875
In ΔMNO, \text{m}\angle M = (6x+1)^{\circ}m∠M=(6x+1) ∘ , \text{m}\angle N = (3x-10)^{\circ}m∠N=(3x−10) ∘ , and \text{m}\angle O = (x+19)^{\circ}m∠O=(x+19) ∘ . Find \text{m}\angle N.m∠N.
Applying the triangle sum theorem, m∠N = 41°
What is the Triangle Sum Theorem?Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.
Given the following interior angles of ΔMNO:
m∠M = (6x+1)°
m∠N = (3x-10)°
m∠O = (x+19)°
Find the value of x:
m∠M + m∠N + m∠O = 180°
Substitute6x+1 + 3x-10 + x+19 = 180
Add like terms10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10x = 17
m∠N = (3x-10)°
Plug in the value of xm∠N = 3(17) - 10
m∠N = 41°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0
Step-by-step explanation:
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
Answer:
The center is at (1, 6) and the radius is 1.
Step-by-step explanation:
x^2 + y^2 - 2x - 12y +36 = 0
Convert to standard form:
x^2 - 2x + y^2 - 12y = -36
(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36
(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1
(x - 1)^2 + (y - 6)^2 = 1
The center is at (1, 6) and the radius is 1.
y over 11 =8 .solve for y
Answer:
y=88
Step-by-step explanation:
harold bought 3 pounds of red apples
Answer:
what's your question?
Using the previous problem, what is the rate at which
the shadow changes when the person is 10 ft from the wall,
if the person is walking away from the wall at a rate of 2 ft/
sec
Answer:
It grows at a rate
4/9 ft/second
Step-by-step explanation:
Write 110% as a mixed number in simplest form
Answer:
1 1/10
Step-by-step explanation:
110% = 110/100 = 11/10 = 1 1/10
Find the volume (in cubic yards) of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards.
Answer:
19.228
Step-by-step explanation:
multiply 2.2*2.3*3.8 to get 19 yd^3
What's the missing addend 634 + =644
Answer:
10
Step-by-step explanation:
it is 10 cause 634+10=644
Answer:
10
Step-by-step explanation:
What is the missing addend?
We can fill in the blank with x
634+x=644
Now we need to get x to the other side
The rule to do this is what we do on one side we have to do the same thing to the other side
so if we subtract 634 on one side we also have to do that on the other side as well:
634-634+x=644-634
634-634 is 0
So it is
x=644-634
644-634 is 10
x=10
So the missing addend is 10
Hope this helps!
Sara earns a basic salary of 14250 every month with an additional 12% commission on her sales. If Sara sold items worth AED 22264 last month, what was her total pay?
a. AED 16921.68
b. AED 24935.68
c. AED 1710
d. AED 2671.68
Answer:
A
Step-by-step explanation:
Commission: 22264*0.12=2671.68
Total pay: 14250+2671.68=16921.68
The total pay of Sara after adding the commission is: Option A: AED 16921.68
How to find the net income?Sara's total pay consists of her basic salary plus the commission on her sales.
Basic salary = AED 14250
Commission on sales = 12% of AED 22264
Commission = 0.12 * 22264
Now, calculate the commission:
Commission = 0.12 * 22264 = AED 2671.68
Total pay = Basic salary + Commission
Total pay = 14250 + 2671.68 = AED 16921.68
So, Sara's total pay is AED 16921.68
Read more about Net Income at: https://brainly.com/question/30404567
#SPJ3
hello comment anything
I like anime and sleeping✌
Answer:
i like food, money, and games
Step-by-step explanation:
E
[tex]\frac{\sqrt{2x} }{\sqrt{} x-1}[/tex]
For which values of x does each expression make sense?
Answer:
The expression is unclear so:
If the denominator is [tex]\sqrt{x}-1[/tex] then your set of existence is given by
[tex]\left \{ {{x\ge0} \atop {x\ne1}} \right.[/tex]
since you want the quantity inside both square roots to be positive (and it happens for both to be simply [tex]x\ge0[/tex] and you don't want a zero at the denominator so you have to rule out 1.
If the square root includes the whole denominator [tex]\sqrt{x-1}[/tex] the condition becomes [tex]\left \{ {{x\ge0} \atop {x>1}} \right.[/tex]
where you don't include the extreme in the second condition since, again, you don't want to divide by 0. The answer in this case is simply [tex]x>1[/tex] since values between 0 and 1 will give a negative root which is not a real number.
one answer.
Select
Suppose the average player in the NBA is 78 inches tall with
a standard deviation of 2.7 inches, while the average player 10 points
in the WNBA is 69 inches tall, with a standard deviation of 3.2 inches. Who is
relatively taller based on their comparison to their profession, Lebron James
(NBA) at 81 inches or Candace Parker (WNBA) at 76 inches?
A. O LeBron is relatively taller because he has a larger Z-score.
B. O LeBron is relatively taller because he has a smaller z-score.
a
c. O Candace is relatively taller because she has a larger Z-score.
D. O Candace is relatively taller because she has a smaller Z-score.
Using z-scores, it is found that the correct option is:
c. Candace is relatively taller because she has a larger Z-score.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For the z-score of Lebron's height, we have that: [tex]X = 81, \mu = 78, \sigma = 2.7[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{81 - 78}{2.7}[/tex]
[tex]Z = 1.11[/tex]
For the z-score of Candace's height, we have that: [tex]X = 76, \mu = 69, \sigma = 3.2[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 69}{3.2}[/tex]
[tex]Z = 2.19[/tex]
Due to the higher z-score, Candace is relatively taller, hence option c is correct.
A similar problem is given at https://brainly.com/question/12982818
Josh was issued a traffic ticket for speeding. The court cost
was $40 and he had to pay $10 for every mile per hour
over the speed limit. Determine how fast Josh was driving
if the speed limit was 65 mph and his fine was $110.
Answer:
72 mph
Step-by-step explanation:
i did this on achievemath3000 and 72 was the answer
Jamal wrote that 9 – 8.4 = 6.
9−8.4=6
0.6≠6
False
I don't know...
Answer:
0.6 his answer is false.
Step-by-step explanation:
...
PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW
A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy
Answer:
*See below*
Step-by-step explanation:
Identify and Explain Error
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
Correct Work/Solution
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
Share Strategy
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
According to the distributive property, 6(a + b) = ma
Answer:
6a+6b=ma
?? Not 100% sure, so have someone else answer please too
Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.
Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.
B.
Mark is under his budget by more than 20 dollars.
C.
Mark is over his budget by less than 20 dollars.
D.
Mark is over his budget by more than 20 dollars.
I can write an equation
Answer: y = -x + 2
Step-by-step explanation:
If you are familliar with the point-slope form this is very helpful
Point-slope:
[tex]y-y_1=m(x-x_1)[/tex]
Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:
[tex]y-(-1) = -1(x-3)[/tex]
Simplify
[tex]y+1=-x+3[/tex]
[tex]y=-x+2[/tex]
The owner of a local shop made a list of how much she pays her employees by the hour.
Which measure of central tendency would the store owner use if she wanted to argue that the employees are paid well?
A. the mean
B. the median
C. the mode
D. the range
GIVING BRAINLIST
Answer: The answer is D
Step-by-step explanation:
I took the quiz
NEED NOW PLEASE.....
4. Write an equation of the vertical line that passes through the point (-2,-8)
Can someone help me? I don't understand this
A retailer needs to purchase 11 printers. The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers. What is the total cost of 11 printers?
$381.99
$500.19
$606.10
$609.00
Answer:
$500.19 is the answer
Step-by-step explanation:
pls vote branliest
The total cost of 11 printers is $500.19.
Given that,
A retailer needs to purchase 11 printers.
The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
We have to determine,
What is the total cost of 11 printers?
According to the question,
The first printer costs $58.
Each additional printer costs 5% less than the price of the previous printer, up to 15 printers.
The cost of a second printer is,
= 0.95 × 58 = $55.1
The cost of a third printer is,
= 0.95 × 55.1 = $52.345
The cost of a fourth printer is,
= 0.95 × 52.345 = $49.727
The cost of a fifth printer is,
= 0.95 × 49.727 = $47.241
The cost of a sixth printer is,
= 0.95 × 47.241 = $44.879
The cost of a seventh printer is,
= 0.95 × 44.879 = $42.635
The cost of an eight printer is,
= 0.95 × 42.635 = $40.50
The cost of a nineth printer is,
= 0.95 × 40.50 = $38.478
The cost of tenth printer is,
= 0.95 × 38.478 = $36.554
The cost of the eleventh printer is,
= 0.95 × 36.554 = $34.726
Therefore,
The total cost of 11 printers is,
= $58 + $55.1 + $52.345 + $49.727 + $47.241 + $44.879 + $42.635 + $40.50 + $38.478 + $36.554 + $34.726 = $500.19.
Hence, The total cost of 11 printers is $500.19.
For more details refer to the link given below.
https://brainly.com/question/16048559
Chi is planning to put a path of paving stones through her flower garden. The flower garden is a square with sides of 15 feet. How many feet long will the path be?
If a car averages 22 miles per gallon, how many kilometers per liter is this?
We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km
Since it's mile per gallon, we divide the units mentioned above.
1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251
Now multiply this result as a factor to 22
That is 22 * 0.4251 = 9.3522
So the answer is 9.3522
A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought? (5 points)
1.5x + y = 12
x = 9y
x + 1.5y = 12
x + y = 9
x + 9y = 12
x = 1.5y
9x + y = 12
x = 1.5y
Answer:
9 = x + y
1x + 1.5y = 12
Step-by-step explanation:
9 (number of items) = x (number of pencils) + y (number of pens)
1x (cost of x number of pencils) + 1.5y (cost of y number of pen s)= 12 (total cost)
Please help me prove that ED is congruent to BA! I thought I had it right by proving right and vertical angles, but I’m missing something
Step-by-step explanation:
[tex]\overline{DA} \text{ bisects } \overline{EB}[/tex] is given
[tex]\overline{BC} \cong \overline{EC}[/tex] definition of bisect
[tex]\overline{EB} \perp \overline{ED}, \, \overline{EB} \perp \overline{BA}[/tex] are both given
[tex]\angle B, \, \angle E \text{ are right angles}[/tex] definition of perpendicular
[tex]\angle B \cong \angle E[/tex] because all right angles are congruent
[tex]\angle{ACB} \cong \angle{DCE}[/tex] vertical angles are congruent
[tex]\triangle{ACB} \cong \triangle{DCE}[/tex] ASA (angle-side-angle)
[tex]\overline{ED} \cong \overline{BA}[/tex] CPCTC (corresponding parts of congruent triangles are congruent)
hello need help question below
what is the surface area of a polyhedron with measurements 4cm x 4cm x 7cm?
Check the picture below.
so let's add all sides and that'd be the area of the rectangular prism.
[tex]\stackrel{\textit{top and bottom}}{2(4\cdot 7)}+\stackrel{\textit{left and right}}{2(4\cdot 4)}+\stackrel{\textit{front and back}}{2(4\cdot 7)}\implies 56+32+56\implies 144[/tex]
please help. one algebra question for 20 points
Answer:
f(-18) = -5
Step-by-step explanation:
Substitute−18forxiny=
1/3 x+1:
y= 1/3x+1
y= 1/3(−18)+1
y=−5(Simplify both sides of the equation)