IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an of 122 , what percent of the population has a lower IQ?
A. 47%
B. 93%
C. 22%
D. 99%
E. 7%
Answer:
B. 93%
Step-by-step explanation:
Find the z-score:
z = (x − μ) / σ
z = (122 − 100) / 15
z = 1.47
Find the probability using a calculator or z-score table.
P(Z < 1.47) = 0.93
The figure is made of rectangular prisms. What is the volume?
Answer:
So the first step is to do times the l that is 18 then times the width that is 6 after that times the height that is 12. The other number is from the other side so you have to times the other number too. So the answer will be c.
Step-by-step explanation:
As we the the formula for a rectangular prism is l*w*h
Answer:
2,160cm³
Step-by-step explanation:
Good luck kiddos :)
Find the area of the shaded region:
Find the area of the circle:
Area = PI x r^2
Area = 3.14 x 9^2
Area = 3.14 x 81
Area = 254.34 square cm
Now multiply the area of the circle by the shaded portion which is the fraction of the degree over 360 degrees:
254.34 x 80/360 = 20,347.2/360 = 56.52
The shaded area is 56.52 square cm.
Area of circle formula: A = πr²
A = π(9)²
A = 81π
A = 254.34cm²
The ratio of degrees in the shaded region to total degrees in a circle:
80/360 = 40/180 = 20/90 = 10/45 = 2/9
Multiply:
254.34/1 * 2/9
508.68/9
56.52
Therefore, the area of the shaded region is 56.52cm²
Best of Luck!
Which point is the centroid of the triangle?
Question 5 options:
A)
D
B)
G
C)
F
D)
C
Answer:
The answer is B) G
Step-by-step explanation:
G is at the center of the triangle. It is a centroid because it is where all the medians meet.
Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.
Answer:
get a coupon find a cheap on or steal it or get a discountAnswer:
She could use coupon deals, she could research what stores have it cheapest, see what deals online has
PLEASE HELP FAST
Which transformation preserves size and shape. Choose ALL correct answers
A) Dilations
B) Rotations
C) Translations
D) Reflections
Question 2
Which transformations preserve orientation?
A) Translations
B) Rotations
C) Reflections
D) Dilations
Answer:
A) Dilation C)Reflections or B) Rotations
Step-by-step explanation:
Combine the Expression: (2a + 8) + (4a + 5)
Answer:
6a +13
Step-by-step explanation:
(2a + 8) + (4a + 5)
Combine like terms
2a+4a +8+5
6a +13
Answer:
6a + 13
Step-by-step explanation:
1. simplify
(2a + 8) + (4a + 5)
2. Reorder the terms
(8 + 2a) + (4a + 5)
3. Remove parentheses
8 + 2a + 4a + 5
4. Combine like terms
8 + 5 = 13
2a + 4a = 6a
So, 6a + 13 is your answer.
There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.
Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?
Answer:
12 because if you add 6 and 12
Step-by-step explanation:
hope it helps uou !!
Answer:
It's 12
Step-by-step explanation:
hope it helps you !!
Another khan academy question
First off, notice that this is a right triangle.
You can use this to help write equation.
Equation : x+ (4x-85)=90. The correct answer is "c"
Mrs. Harless surveyed 18 students about the number of movies they watched this past summer. She displayed the results in a circle graph and a line graph. Which is the better display? Why?
The line graph is bettee.
The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.
Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.
Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.
Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.
Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.
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Find the value of x and. Will mark brainliest.
Answer:
x=5
y=25
Step-by-step explanation:
You can start by finding the value of x. Since opposite angles in a parallelogram are equal, 11x=55 and x=5. Since adjacent angles are supplementary, 5y+55=180, 5y=125 and y=25. Hope this helps!
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
14168
Step-by-step explanation:
15400 / 100 x 8 = 1232
1232 = 8%
15400 - 1232 = 14168
The figure below is a net for a rectangular prism. Side a = 22 inches, side b = 18 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,430 square inches
B. 1,672 square inches
C. 4,356 square inches
D. 836 square inches
The price of a gallon of milk, in dollars, is measured in the
Answer:ones
Step-by-step explanation:
Which polygon is a base of the triangular prism?
Which polygon is a lateral face of the triangular prism?
D
G
с
Answer: A triangle is normally the base of a triangular prism. A rectangle is a lateral face of the prism.
Step-by-step explanation:
(D, G and c in the question are unclear.)
Answer:
polygon face - DFG ;; lateral face - DFBA
Step-by-step explanation:
got it right on edge
The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a
retirement home.
60-69. 70-79. Over 79. Total
Male: 12. 5. 1
Female: 8. 10. 4
Total
What is the relative frequency for females in the age group 60-69?
a. 3/20
b. 1/5
c. 9/40
d. 2/5
Answer:
b) 8/40 = 1/5
The probability of the relative frequency for females in the age group 60-69 is 0.625.
We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.
here we have to find the probability that a resident is female.
What is the formula for probability?[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]
here the total number of females are=19+2+4
=25
and the total number of males=1+9+5
=15
Hence, the total number of people=25+15=40
So Probability=25/40
=0.625
Hence option D is correct.
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You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Answer:
17.3
Step-by-step explanation:
(2+18)=(20mph*2miles)=6 minute
(18-2)=16mph*3miles=11.25
17.25
How many different size triangles can be drawn with angle measures 90°, 45°, and 45°?
A. No triangles
B. Exactly one triangle
C. Exactly two triangles
D. Any number of triangles
Answer:
Step-by-step explanation:
I believe is D because you actually change the measure of two angles as long as the sum of them are 90.
Help me I will give brainliest!!!
Answer:
theoretical is first then experimental
Step-by-step explanation:
Answer:
Experimental , Theoretical
Please I need your help on this.
Answer:
the answer is 7 7/8
Step-by-step explanation:
1. you will need to change the fractions into an improper fraction.
2. you need to then multiply the numerator and denominator to get a 63/8
3. change 63/8 into a mixed fraction leaving you with 7 7/8
Which type of sampling method is being employed in the following example: "A newspaper reporter wants to know what the people of Georgia think about the latest trades the Braves baseball team have made for an article but is running late. So, the reporter decides to just ask people at the news office what they think to provide a sample of the public's opinion in the article."
Simple Random Sampling
Sampling of Convenience
Stratified Sampling
Systematic Sampling
Cluster Sampling
Answer:
Sampling of convenience
Step-by-step explanation:
A sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.
What is a sampling of convenience?This refers to the non-probability sampling method that relies on data collection from population members who are conveniently available to participate in study.
Hence, the sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.
Therefore, the Option B is correct.
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PLEASE ANSWER THIS ILL GIVE BRAINLIEST AND IM GVING MY LAST POINTS I REALLY NEED THIS FAST AND please be right! PLEASE
Answer:
question 7: 280 and question 8: 86
Step-by-step explanation:
Answer:
1) 70
2) 82
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answer:
Answer is option b)
[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 400[/tex]
Your guess was right.
Step-by-step explanation:
[tex]the \: question \: states \: that \: \\ distance \: between \: two \: points \: is \: 20 \: units \: \\ and \: the \: two \: points \: are \: (x,y) \: \: and \: \: (3 ,- 4) \\ distance \: formula \\ = \sqrt{ {(x1 - x2) }^{2} + {(y1 - y2)}^{2} } \\ on \: substituting \: the \: values \: in \: formula \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y - ( - 4))}^{2} } \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y + 4)}^{2} } \\ now \: squaring \: on \: both \: sides \\ 400 = {(x - 3)}^{2} + {(y + 4)}^{2} \\ hence \: the \: answer \: is \: option \: b)[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Four candidates participated in a school election Bianca received 1/5 of the votes, Chelsea received 0.26 of the votes, Darell received 25% of
the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive?
A 29% B 31% C 33% D 35%
Answer:
A - 29%
Step-by-step explanation:
Bianca's 1/5 would be converted to 20%
Chelsea's .26 would be 26%
Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would..
Subtract
100 - 71 = 29%
Therefor, your answer is A.
If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.
Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,
100 - 71 = 29%
Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
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select the one answer. (x+5)-4y
Answer:
B) The sum of x and 5 subtracted by 4 times y.
Step-by-step explanation:
(x + 5) = the sum of x and 5
- = subtracted by
4y = 4 times y
"The sum of x and 5 subtracted by 4 times y).
B) is your answer.
~
Answer:
B/the second one
Step-by-step explanation:
billy wishes to find the equation of a circle. this time however he only knows the end of the diameter are located at (12, 17 ) and (8, -1). below is the equation he came up with. Which part of the equation is incorrect?
Answer:
Y-8
Step-by-step explanation:
f(x) = 2/x at x = -2
Answer:
f(x) = -1
Step-by-step explanation:
2/x when x = -2
2/-2 = -1
Answer:
f(x) = -1
Step-by-step explanation:
If you plug in -2 for x then it is 2/-2
Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°
Answer:
[tex]Z_{1} Z_{2} = 3 i[/tex]
Step-by-step explanation:
Step(i):-
Given z 1 = 3(cos 37° + i sin 37°)
z 2 = (cos 53° + i sin 53°)
by using complex numbers
[tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]
[tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]
step(ii):-
now
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°
z ₂ = (cos 53° + i sin 53°) = c i s 53°
we will use formula
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
[tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]
[tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]
[tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]
Conclusion:-
[tex]Z_{1} Z_{2} = 3 i[/tex]
Answer:
2i
Step-by-step explanation:
z 2 = 2/3(cos53° + isin53°
I got it right on odyssey ware
help rsm 2.1/x+1 4/5=3/10x
Answer:
two minus one times .........
The solution to the equation is x = 7, -1.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 2.1/x + 1 (4/5) =(3/10)x.
Simplify the equation as follows:
2.1/x + 1 (4/5) =(3/10)x
2.1/x + 9/5 = (3/10)x
2.1 + (9/5)x = (3/10)x²
21 + 18x = 3x²
3x² - 18x -21 =0
3x² - 21x + 3x -21 =0
3x(x - 7) + 3(x - 7) =0
(x - 7)(3x + 3) =0
x - 7 =0 or 3x + 3 =0
x = 7 or x = -1
Hence, the solution to the equation is x = 7, -1.
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Nathan is buying a camera that regularly
costs $400.00. It is on sale for 25% off. If
the tax rate is 10%, what is the final cost
of the GoPro?