IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
Out of a randomly selected 2200 people from the population, how many of them
would have an IQ less than 115, to the nearest whole number?
Using the normal distribution, it is found that 1851 people would have an IQ less than 115.
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.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 100, \sigma = 15[/tex]
The proportion of IQ scores less than 115 is the p-value of Z when X = 115, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{115 - 100}{15}[/tex]
Z = 1
Z = 1 has a p-value of 0.8413.
Out of 2200 people:
0.8413 x 2200 = 1851.
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Answer:
1851
Step-by-step explanation:
if its a whole number than its 1851
please help it says to choose one or more!
Answer:
it's A And CStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseAnswer: it’s A and C (45 ft and 37 ft) I think
Work out the perimeter of a circle with radius 3cm.
Give your answer in terms of [tex]\pi[/tex]
Answer:
6π cm
Step-by-step explanation:
For a circle, the perimeter is equal to the circumference. The formula for the circumference of a circle is ...
C = 2πr
where r is the radius of the circle.
__
using the formulaSubstituting the given value of radius into the formula gives ...
C = 2π(3 cm)
C = 6π cm
The perimeter of the circle is 6π cm.
Metal A has a density of 12.7 g/cm3.
55 g of metal A is combined with metal B to create an alloy with mass 90 g and density 10.7 g/cm3.
What is the density of metal B?
Round your answer to 2 decimal places.
Using the given information, the density of metal B is 8.58 g/cm³
Calculating densityFrom the question, we are to determine the density of metal B
From the given information,
55 g of metal A is combined with metal B to create an alloy with mass 90 g
∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g
Now, we will determine the volume of metal A in the alloy
Using the formula,
Density = Mass / Volume
∴ Volume = Mass / Density
Volume of metal A in the alloy = 55/12.7
Volume of metal A in the alloy = 4.33 cm³
Then, we will determine the volume of the alloy
Volume of the alloy = 90/10.7
Volume of the alloy = 8.41 cm³
∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³
Volume of metal B in the alloy = 4.08 cm³
Now, for the density of metal B
Density = mass / volume
Density of metal B = 35 / 4.08
Density of metal B = 8.58 g/cm³
Hence, the density of metal B is 8.58 g/cm³.
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Work out the size of angle a and angle b
Answer:
a = 120°
b = 60°
Step-by-step explanation:
Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).
a + 60° = 180°
a = 180° - 60°
a = 120°
The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.
b + 90° + a + 90° = 360°
Substitute a with the value calculated in the previous step.
b + 90° + 120° + 90° = 360°
Solve for b.
b + 300° = 360°
b = 60°
factor 7n^2 - 29n - 30
You map several locations in your home town using a coordinate plane in which each unit represents 1 mile. Your school is at (-2, 8), your friend's apartment is at (6, -4), and your apartment is at (6, 8). Is your apartment closer to school or your friend's apartment? school O your friend's apartment
please someone answer
Please HELP!! Need to finish before the end of the day!
Answer & Step-by-step explanation:
I have attached two ways you can find the number of green Jolos, by adding and/or subtracting from the other known values. Both ways will give the answer of C. 280 Jolos
solve for x
9x - 5
6x + 4
7x + 7
Answer:
this can not be solved by X cause the equation is not equal to anything
Step-by-step explanation:
What is the range of the function y = x2? x ≥ 0 all real numbers y ≥ 0
Answer:
The range of x is all real numbers including 0 to infinity, making this x ≥ 0
Answer:The range of x is all real numbers including 0 to infinity, making this x ≥ 0
Step-by-step explanation:
Write the following as algebraic expressions. r decreased by 3
Answer:
r - 3
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to write the verbal phrase "r decreased by 3" as an algebraic expression.
[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]
Think about it. "decreased by". If we decrease a number by another number, what happens to the first number?Here we decrease the variable "r" by 3.
Remember, variables always represent some number.
Let's think about it this way...
///\\\////\\\\////\\\///\\\///\\\///\\\///\\\///\\///\\///\\///\\///\//\\///\\\///\\\///\\\///\\///\\\///\
So we have a number r, and we decrease it by 3.
Now its value is less than the original value.
We subtracted 3 from the original value of r, and now its value is less than the original one.
Thus, "decreased by" is the same as "subtracted" in mathematics.
r decreased by 3 ⇒ [tex]\star\large\pmb{r-3}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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Given (x – 1)2 = 50, select the values of x.
Answer:
[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]
Step-by-step explanation:
[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]
Make a table to help solve this problem. Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names. Mao and Cory visited cities whose names start with an S. Who visited Pittsburgh?
From the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.
What is reasoning?When making a choice or addressing an issue, reasoning is the ability to appraise things rationally by using logic based on new or existing information.
We have:
Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names.
Mao and Cory visited cities whose names start with an S.
The table can be make to show the information provided:
Cory - city with 2 words
Molly - city with 2 words
Mao - starting with an s
Cory - starting with an s
cities are : Seattle, Santa Clara,Pittsburgh,Des Moines
The table is:
Name City name
Cory Santa Clare
Molly Des Moines
Mao Seattle
Srey Pittsburgh
Thus, from the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.
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Can someone help please?
Answer:
its the first one
Step-by-step explanation:
In a quadratic function, the second differences are the same.
In the first table, the first differences are:
3-6 = -3;
2-3 = -1;
3-2 = 1;
6-3 = 3
The second differences are then:
-1--3 = 2;
1--1 = 2;
3-1 = 2
The second differences are the same, so this is a quadratic function.
What is the volume, in cubic centimeters, of a rectangular prism with a height of 8 centimeters, a width of 6 centimeters, and a length of 6 centimeters?
Answer:
288
Step-by-step explanation:
area of the base times the height. base is 6*6=36. Then 36*8 is 288
What additional information would prove that DEFG
an isosceles trapezoid?
A- DE≈GF
B-DE≈DG
C-EF≈DG
D-EF≈GF
For the trapezoid to be proven to be an isosceles trapezoid, the additional information needed is: A. DE ≅ GF
What is an Isosceles Trapezoid?An isosceles trapezoid is a type of trapezoid whose opposite non-parallel sides have the same side length and base angles that are congruent.
In essence, for trapezoid DEFG to be proven to be an isosceles trapezoid, DE must be congruent to GF.
The additional information needed is therefore: A. DE ≅ GF
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what are the answers??????????????????????????????????
Please help me with the problem below.
Answer:
67.5 cm^2
Step-by-step explanation:
we know the length and width of the rectangle and the triangle in the compound shape.
The area of the rectangle is 10 times 5 = 50
the area of the triangle is
17-10 = 7
7 times 5 is 35
35/2 = 17.5
50 plus 17.5 = 67.5 cm^2
Answer: 67.5
Step-by-step explanation: Since this is a irregular shape, you have to split the two shapes. The rectangles area is 50, and the triangles is 17.5.
To find the area of a triangle multiply 1/2 × base × height
To find the area of a rectangle multiply base × height
find the vertical height of a cone if the radius is 4 cm and the curved surface area is 60 cm
Answer:
2.65 cm
Step-by-step explanation:
Applied Formula :
Curved Surface Area = πrlSolving :
60 = 3.14 x 4 x ll x 12.56 = 60l = 4.8 cmh² = l² - r²h² = (4.8)² - (4)²h = √23.04 - 16h = √7.04h = 2.65 cmWhich phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right
The translation of the function y = 2(x - 15)² to y = 2(x - 11)² + 3 is; 4 units to the left.
How to Interpret Graph Translations?
We are given the graph function;
y = 2(x - 15)²
Now, the function above was translated to get;
y = 2(x - 11)² + 3
Now, when we translate a graph to the right, we subtract from the x-value, but if we move the graph to the left, we subtract from the x-value. Thus;
The translation was 4 units to the left.
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Layne says the probability of the high school team winning the football game is 75%.
abdul says the probability is 3 5 .
who thinks the event is more likely, layne or abdul? explain.
The person who thinks the event is more likely is Layne. This is because she has a higher probability value than Abdul.
Who thinks the event is more likely?Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0. The closer the event is to 1, the more likely the event would happen
Layne's probability that the event would happen = 75%
Abdul's probability that the event would happen = 3/5 x 100 = 60%
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What are the answers for the first page????
Answer:
which first pagee???There is no any first page????
Which equation can pair with x 2y = 5 to create an inconsistent system?
The equation that can be paired with x + 2y = 5 to create an inconsistent system is given by:
2x + 4y = 3.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
An inconsistent system is a system that has no solutions, and it happens when the coefficients of x and y are multiples, and the independent terms are not.
Hence:
x + 2y = 5.
2x + 4y = 3.
Is inconsistent, as the variables are each multiplied by 2, but the independent term is not.
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Answer:
A
Step-by-step explanation:
Edge.
Help!
i will report you if you give a bs answer :)
19. a certain chain saw requires a fuel mixture of 5.5% oil and the remainder gasoline. how many liters of 2.5% mixture and how many of 9% mixture must be combined to produce 40.0 liters of 5.5% mixture?
a. 12 4/23 liters of 2.5% and 28 19/23 liters of 9%
b. 28 19/23 liters of 2.5% and 12 4/23 liters of 9%
c. 21 liters of 2.5% and 18 liters of 9%
d. 18 6/13 liters of 2.5% and 21 7/13 liters of 9%
e. 21 7/13 liters of 2.5% and 18 6/13 liters of 9%
f. 18 7/13 liters of 2.5% and 21 6/13 liters of 9%
20. mary can row at the rate of 4 miles per hour in still water. rowing downstream in a river, she can travel 3 times as far in 1 hour as she can rowing upstream. what is the rate of flow in the river?
a. 1 miles per hour
b. 2.5 miles per hour
c. 4 miles per hour
d. 2 miles per hour
e. 3.5 miles per hour
f. 3 miles per hour
Answer:
E
Step-by-step explanation:
19) Amount of oil in = amount of oil in final product
.025(x) + .09(40-x) = .055(40) (x = 2.5% amt 40 - x = 9% amt)
x = 21.54 L of 2.5 % then 9% = 18.46 L
Agree or disagree.most supervisors accept that i cannot always be on time for work.
Answer:
The answer is your opinion.
Step-by-step explanation:
An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinner
The number of people attended dinner is 102.
What is an Equation ?An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.
It is given in the question that
An awards dinner costs $225 plus $5 for each person making reservations
the total bill is $735
people attended the dinner = ?
Let x number of people attended the dinner
$225 + $5 * x = $735
5x = 735-225
5x = 510
x = 102
Therefore , 102 people attended the dinner.
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Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week.
Project Grading
Day
Hours Grading
Monday
1 and three-fourths
Tuesday
1 and one-half
Wednesday
1 and one-fifth
Thursday
2
Friday
1 and one-fourth
How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects?
Answer:
2
Step-by-step explanation:
Mrs. Nygaard need 2 hours to work over the weekend to finish grading the projects
You purchase 100 shares of ravioli den for $45/share. One year later, you sell the shares for $52/share. What was your total gain for your investment in ravioli den?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total gain for your investment in ravioli den is $700.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The cost of a single share was $45, while the number of shares where 100, therefore, the total cost of purchasing shares is:
Total Cost = $45×100 = $4,500
The selling price of a single share is $52, while the number of shares is the same, therefore, the total selling price is,
Total Selling Price = $52×100 = $5,200
The total gain for your investment in ravioli den is the difference between Total cost and total selling price. Therefore,
The total gain = $5,200 - $4,500 = $700
Hence, The total gain for your investment in ravioli den is $700.
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15 points, I have 0 idea how to solve this, please explain your answer
Can someone help me figure out what to put in the box, 10 points will be awarded!
Based on the information given about the Angley marathon, Joe can summarize the message as "Run the Angley marathon for free if A ≥ £850"
How to solve inequality problems?Raise at least £850 and run the Angley marathon for free
let
Minimum amount to be earned = AJoe can summarize the message like this:
Run the Angley marathon for free if A ≥ £850
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