Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 72, \sigma = 10[/tex]
The proportion of students with scores between 72 and 82 is the p-value of Z when X = 82 subtracted by the p-value of Z when X = 72.
X = 82:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{82 - 72}{10}[/tex]
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 72}{10}[/tex]
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
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Suppose that algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent us dollars) $6,844. if the algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate? a. 9% b. 14% c. 18% d. 26% please select the best answer from the choices provided a b c d
The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.
What is the income tax rate?It is defined as the tax rate applied on the solely earned money by a single entity.
Algeria has a workforce of 9,416,534
Each entity average annual salary = $6,844
The raise in tax revenue = $ 9 bilion
To find the income tax rate we must find the total income of the workforce,
= 9,416,534×6844
= $64.45 billion
Now for income tax:
[tex]\rm = \frac{Tax \ revenue}{Total \ income}[/tex]
[tex]=\rm \frac{9 \ billion}{64.45 \ billion}\times 100[/tex]
≈ 14 %
Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.
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The sections of a spinner are divided into five
equal sections and are lettered A to E. Myla spins
the pointer of the spinner once and rolls a number
cube numbered 1 to 6. What is the probability of
landing on B and rolling an even number?
Answer: 0.066, or a 6.6% Statistical Probability.
Step-by-step explanation:
When dealing with Statistical Probability, you are attempting to find the theoretical chance of an action occuring.
With the two actions described, one being a wheel with five set outcomes, and a dice with six set outcomes, you can find the probability of random numbers/outcomes by taking
[tex]\frac{1}{6} \\and\\\frac{1}{5}[/tex]
1/6 being number cube, 1-2-3-4-5-6
and
1/5 being spinner. A-B-C-D-E
In the Event, (made up by actions), it is described that The Cube AND Spinner are rolled and spun at random.
Also, The description asks: what is the probability of landing on B and rolling an even number?
So, the 1/6 chance of the dice becomes 1/3, or .33 or 33%.
And, the 1/5 chance for the spinner stays the same, because it is a single unit. So, probability of landing on B is still 1/5, or .2 or 20%.
When two actions are present in an Event, you are to procedurally multiply the outcomes by the decimal percentage, fraction, or actual percentage, to find the chance of occurence.
In this scenario, I used .2 x .33 and got 0.066
Which, equals 6.6%
I found this by multiplying the decimal percentage by 100, to scale the chance on a 100/100 based scale. In this case, the multiplier on the numerator is .066 ... creating 6.6/100, or .066 or 6.6%
Hope this Helped!
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
Answer: You d u m b. -3/4
Step-by-step explanation:
Answers both for 41 points and a like and brainlist
Answer:
2: 142.5
3: 42
Step-by-step explanation:
Remark
Problem 2
The diagonals of a kite meet at right angles. They also bisect each other. So the two triangles on the left and right side of the kite are congruent.
Because the smaller diagonal is bisected, you need only find the area of 1 of the triangles and double it.
1/2 of the smaller diagonal is the altitude of the triangle. The base is the other larger diagonal.
Solution
Area of the left triangle
Givens
altitude = 7.5
Base = 14 + 5 = 19
formula
Area = 1/2 * B * h
Solution
Area = 1/2 * 19 * 7.5
Area = 71.25
But there are 2 such triangles
Area of both = 71.25 * 2 = 142.5
Answer: A
Problem 3
Remark
The way they have given you the problem, you could be easily fooled. The 2 does not help you at all.
A parallelogram has an area of B * h. Those are the two numbers you use.
Givens
Base = 6
height = 7
Formula
Area = B * h
Solution
Area = 6*7
Area = 42
Answer: Area = 42m^2
Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller
angle find the measure of each angle
Define variables
Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
smallest angle = 12Larger angle = 4*12 + 30 = 78If 96 as a product of its prime factors is 2x2x2x2x2x3, find the greatest common divisor of 72 and 96
Answer:
24
Step-by-step explanation:
72=2*2*2*3*3
96=2*2*2*2*2*3
Hcf=2*2*2*3=24#
Marquet is relocating to an area where she will be attending college. she finds a townhome with an option to rent or buy. the conditions of each are shown below. rent: move-in cost of $1,350 and monthly payment of $795. buy: move-in cost of $8,235 and monthly payments of $750. marquet plans to stay in the area for the 5 years it will take her to get a graduate degree, so she decides to buy. choose the best evaluation of marquet’s decision. a. since the costs would be the same over the 5 year period, she will have made a good decision if the property value does not decrease. b. she made a fairly good decision. buying the townhome will be cheaper over the 5 year period as long as she doesn’t have major repairs to make. c. she made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 year period. d. there is not enough information given to determine which option is best.
The total cost for five years of her rent is less than she buys the townhome. Then the correct option is C.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Marquet is relocating to an area where she will be attending college.
She finds a townhome with an option to rent or buy.
The conditions of each are shown below.
rent: move-in cost of $1,350 and monthly payment of $795.
buy: move-in cost of $8,235 and monthly payments of $750.
Marquet plans to stay in the area for the 5 years it will take her to get a graduate degree, so she decides to buy.
The total cost for five years when she rents.
→ 1350 + 795 × 12 × 5
→ $49,050
The total cost for five years when she buys.
→ 8235 + 750 × 12 × 5
→ $53,235
She made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 years period.
More about the decision-making link is given below.
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Answer:
c. she made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 year period.
Step-by-step explanation:
edge
Damien has a newspaper delivery route. Every morning it takes him 12 minutes to organize his newspapers before he starts his delivery. Then, he delivers 3 newpapers every 2 minutes.
Write a function to represent the number of minutes, y, it takes Damien each day to deliver x newspapers, including the time it takes him to get organized. Enter your answer in the box.
Math
A function that represents the number of minutes it takes to deliver x newspapers is y = 12 + 2x/3.
What is the function?The function that represents the number of minutes it takes to deliver x newspapers is: total minutes = time it takes to orgainse the newspapers + time it takes to deliver x newspapers
Time it takes to orgainse the newspapers = 12 minutes
Time it takes to deliver x newspapers = 2x / 3
y = 12 + 2x/3
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Can anyone solve this today?
Answer:
C
Step-by-step explanation:
The area of a square is the square of the side length. When the side length x=2.5 cm, the area is the square of that value.
__
A(x) = x²
A(2.5 cm) = (2.5 cm)² = 6.25 cm²
_____
Additional comment
The "square" of a variable is that variable to the second power. The terms 2x or 4x are linear terms with the variable to the first power, do not represent the area of a square.
The equation A(x) = 4x² introduces a multiplier of 4 that is not applicable to the area of a square based on side length. (The formula might be useful if x represents the distance from one side to the center of the square, the radius of an inscribed circle, for example.)
Answer these questions it’s for my math! Please do all the days!
Day 1
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Day 2
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Day 3
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Answer:
Day 1
4 times
8 mins
1 time
0 times
1 time
0 times ( I never use it)
Day 2
2 times
5.30 mins
0 times
2 times
0 times
0 times
Day 3
5 times
0 mins
0 times
2 times
1 time
0 times
Step-by-step explanation:
Hope it helped you
i will give 80 points
Answer:
8 home games and 10 away games
Step-by-step explanation:
Total home goals
= 8 +5 +9 +8 = 30
Number of home games
= 30/3.75 = 8
Total away game goals
= 7 + 8 + 4 + 5 = 24
Number of away games
= 24/2.4 = 10
Easy Peasy :) Hope this helped! <3 brainliest please :)
find the value of the variable
Answer:
the answer is y=4
Step-by-step explanation:
the left drawing is a law , and is always true . and on the right side i showed you how i got to the answer.
Please help! Will mark brainlyest.
43
Natasha spends $9 for supplies to make necklaces that she sells for $2 each.
Her profit is given by the expressioin 2n - 9. What does the variable n
represent?
Answer:
n = the number of necklaces Natasha sells
Using side lengths only, could the triangles be similar?
Answer:
Option A
Step-by-step explanation:
Step 1: Compare the sides
We can see that it was rotated in a way where Y is similar to R, X is similar to Q, and Z is similar to S.
[tex]\frac{SQ}{XZ }\neq \frac{QR}{XY} \neq \frac{RS}{YZ}[/tex]
[tex]\frac{0.5}{1}\neq \frac{1}{1.5}\neq \frac{1.5}{2}[/tex]
[tex]0.5\neq 0.6667\neq 0.75[/tex]
Answer: Option A
Delta Math:
Finding Angles (Level 1) 1/5
Full explanation please
will give brainlist
Answer:
[tex]m\angle FGC =101\degree [/tex]
Step-by-step explanation:
[tex]m\angle CBF = 46\degree[/tex] (Given)
[tex]m\angle FIG = 55\degree[/tex] (Given)
[tex]m\angle IFG = m\angle CBF[/tex] (Corresponding angles)
[tex]\implies m\angle IFG = 46\degree[/tex]
[tex]m\angle FGC =m\angle IFG+ m\angle FIG[/tex]
(By exterior angle theorem)
[tex]m\angle FGC =46\degree+ 55\degree [/tex]
[tex]m\angle FGC =101\degree[/tex]
Here
<IFG=<IBC as lines are parallelUsing the formula
sum of interiors=external
m<FGC=m<IFG+m<GIFm<FGC=55+46°m<FGC=101°What is the area, in square feet, of the shape below?
Answer:
17.4 ft²
Step-by-step explanation:
The formula to find the area of a triangle:
1/2 x b x h, where b is the base and h is the height.
1) Substitute the given values into the formula and solve it.
= 1/2 x 6 x 5.8
= 1/2 x 34.8
= 17.4
Answer:
Area= 17.4 ft²
Step-by-step explanation:
The formula of the area of any triangle is given by: A = [tex]\frac{b*h}{2}[/tex]
where A: area of the triangle
b: base of the triangle
h: height of the triangle
in this figure we have:
b= 6ft
h= 5.8ft
A= [tex]\frac{6 * 5.8}{2}[/tex] = [tex]\frac{34.8}{2}[/tex]=17.4 ft²
HOPE THIS HELPS :)
. Calculator
The price of a visit to the dentist is calculated according to the formula 50 + 100n where n is the number of
cavities the dentist finds.
On your last visit to the dentist, 2 cavities were found.
What was the cost of your visit?
Answer:
$250
Step-by-step explanation:
50+100n= 50+100(2)= 50+200=250
Sincerest Apologies if this is incorrect
i need help with this
Answer:
1302
Step-by-step explanation:
Look at one of the formulas for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w)
What does the 2 represent in this formula?
Answer:
The question you are asking is a bit unclear but I might be able to offer some insight.
2(l + w) is sometimes used as the formula for the perimeter of a rectangle.
If l represents the length and w represents the width, then the perimeter (sum of the sides) is l + w + l + w.
This simplifies algebraically as 2l + 2w and can be factored into 2(l + w).
So, to find the perimeter of the rectangle you must double the sum of the length and width.
Not sure if I helped, but finger crossed!! :)
Step-by-step explanation:
What is the measure of angley to the nearest whole degree? 58° 64° 68° 73°
Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°
What is the Law of Cosine:Law of cosines is given as: y² = x² + z² – 2xz(cosY)
Given the following:
x = 12
y = 16
z = 17
Y = ?
Apply the law of cosines:
16² = 12² + 17² – 2(12)(17)(cosY)
256 = 433 - 408(cos Y)
256 - 433 = -408(cos Y)
-177 = -408(cos Y)
-177/-408 = cos Y
Y = cos^(-1)(177/408)
Y ≈ 64°
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The circumference of a circle is 9 pi cm. What is the area, in square centimeters? Express your answer in terms of \piπ.
Answer:
20.25 × pi cm²
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius.
in our case
9×pi = 2×pi×r
9 = 2r
r = 9/2 = 4.5 cm
the area of a circle is
pi×r²
in our case that is
pi×(4.5)² = 20.25 × pi cm²
Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression tells you the total cost of Pam's 6-month gym membership? 45+(30times6) or (45+30)times6
Answer:
45 + (30*6)
Step-by-step explanation:
A cylinder has a radius of 6 inches and is 15 inches tall. what is the volume of the cylinder? express the answer in terms of pi. a cylinder with a radius of 6 inches and height of 15 inches. recall the formula v = pi r squared h. 90 pi inches cubed 540 pi inches cubed 1,350 pi inches cubed 2,160 pi inches cubed
The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
How to calculate the volume of a cylinder?The formula for calculating the volume of cylinder is expressed as:
V = πr²h
where
r is the radius
h isthe height
Given the following parameters
h = 15in
r = 6in
substitute
V = 6^2 * 15π
V = 540 π cubic inches
Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
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Answer:
b
Step-by-step explanation:
–0.4 = 3d + –10
pls answer and dont delete for no reason. again.
Answer:
3.2
Step-by-step explanation:
I'm guessing you want to find the value of D.
so,
-0.4 = 3d -10
3d = 9.6
d = 3.2
Answer: 3.2
Step-by-step explanation:
-0.4= 3d + (-10)
-0.4= 3d -10
add 10 to both sides
9.6 =3d
d= 9.6/3
d = 3.2
You go shopping and buy shoes for $112 if the tax is 7%
I dont know how to delete a answer and i got it wrong apparently so sorry
HELP 276.5 divided by 7.9.
[tex]\dfrac{276.5}{7.9}\\\\\\=\dfrac{276.5 \times 10}{7.9 \times 10}\\\\\\=\dfrac{2765}{79}\\\\\\=\dfrac{79 \times 35}{79}\\\\\\=35[/tex]
what is the measurement of each interior angle in #17
Step-by-step explanation:
Sum of interior angles of a polygon
180°(n−2)
When n=10,
Sum of interior angles of a polygon
180°(n−2)
=180°(10−2)
=1440°
Therefore, Each interior angle of a regular heptagon measures 1440/10=144°
Sum of interior angles of a polygon
180°(n−2)
When n=7,
Sum of interior angles of a polygon
180°(n−2)
=180°(7−2)
=900°
Therefore, Each interior angle of a regular heptagon measures 900/7=128.6°
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x + 3y = 15?
Answer:
first, we need to know the gradient of the line, 2x+3y=15
Gradient of the line is -2/3
from 3y=-2x+15
Y=-2x/3+5
Step-by-step explanation:
new gradient will be 3/2 since the initial gradient is perpendicular to the new one
therefore, considering the general equation of the line, y-y1=m(x-x1)
where y1=3 and x1=1
we can therefore substitute in the values into the above equation
so, y-3=3/2(x-1)
y-3=3x/2-3/2
2y-6=3x-3
2y-3x=-3+6
2y-3x=3
therefore, the equation of the line perpendicular to line 2x+3y=15 is 3x-2y=-3
Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of the costumes for the same price. Use the equation 50c-300=250, where c is the selling price of each costume. What was the selling price of one costume in dallars?
Answer:$11
Step-by-step explanation: 50c - 300= 250
Add 300 to both sides
Divide both sides by 50