Answer:
13,797,339 people
Step-by-step explanation:
Given that μ = 95 and σ = 18
The total number of population is N = 323,000,000
Now, we calculate the probability that IQ is higher than 126
P(X>126) = 1 - P[Z ≤ 126 - 95 / 18]
P(X>126) = 1 - P[Z ≤ 1.72]
P(X>126) = 1 - [ NORMSDIST(1.72)] Using MS Excel
P(X>126) = 1 - 0.957283779
P(X>126) = 0.042716221
Hence, the required probability is 0.042716221
Now, we calculate the approximate number of people in the county with an IQ higher than 126
Number of people = P(X>128) * N
Number of people = 0.042716221 * 323,000,000
Number of people = 13797339.383
Number of people = 13,797,339
Therefore, the approximate number of people in the country with an IQ higher than 126 is 13,797,339 in population
There are 13800000 people in the country with an IQ higher than 126
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 95, σ = 18;
For x > 126:
[tex]z=\frac{126-95}{18} =1.72[/tex]
From the normal distribution table, P(z > 1.72) = 1 - P(z < 1.72) = 1 - 0.9573 = 0.0427
For a total population of 323,000,000:
Number of people in the country = 0.0427 * 323,000,000 = 13800000
Hence there are 13800000 people in the country with an IQ higher than 126
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Please help I will give 15 points and a Brainlylist
Answer: 6/14 and 42/99
Step-by-step explanation:
Brainly for correct answer
Which equation shows y=−1/2x+4 is in standard form?
2x + y = 8
2x−y=8
x + 2y = 8
x+2y=−8
Answer:
x + 2y = 8
Step-by-step explanation:
Anybody know this if you do plz help
Answer:
1. m = -3 b = 2
2. m = 1/2 b = -1
3. m = -1 b = 79
4. m = 2 b = -2
5. y = -4x + 3
Step-by-step explanation:
1. the equation y=mx + b is used in number 1. m = slope and b = y intercept. so, because -3 is in the m spot, it is the slope, and because 2 is in the b spot, it is the y intercept.
2. apply the same concept as number 1. 1/2 is in the m spot, so it is the slope, and -1 is in the b spot, so it is the y intercept
3. To know the slope of the graph, you do rise/run. meaning, from one point on the graph, count how many times you go down to get to the next points, and then how many times you go over to get to the point. So, the slope of this line is -2/2, which is equal to -1. So, m = -1. To get the y intercept, take a pair of points from the graph (for example, (3,76)) and take the slope, and fill those in to the y = mx + b equation, and then solve for b. so, you get 76 = -1(3) + b. then do -1 times 3 and get -3. add 3 to both sides and you get b = 79.
4. apply the same concept on number 4 as you did number 3. Find rise/run, and you get 2/1, so m = 2. then take a point from the line (like point (0,-2)) and and the slope and fill it in to y = mx + b. you get -2 = -2(0) + b. so, b = -2.
5. simply fill in the information into the y = mx + b equation. remember, m is the slope, and b is the y intercept. so, you get y = -4x + 3
Please answer please
Answer:
96
Step-by-step explanation:
1 sticker pack has 28 stickers
3(28) = 84
84+12
96
Answer:
96
Step-by-step explanation:
28 × 3 = 84 + 12 = 96 I think, I'm not sure
helppppppppppp meeeeeeeeeeeedee
a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven there will be none left. find the least number of passengers in the bus?
Answer:
91.
Step-by-step explanation:
The least number will be a multiple of 7 while the number - 1 will be a multiple of 2,3 and 5.
2*3*5 = 30 but 31 is not a multiple of 7.
2*2*3*5 = 60 but 61 is not divisible by 7.
2*3*3*5 = 90 and 91 is divisible by 7.
What is the equation, in slope-intercept form, of the
perpendicular bisector of the given line segment?
Answer:
x1 = -1, and y1 = -2
Step-by-step explanation:
Step-by-step explanation: The equation of a line in point-slope form. is the equation of the line containing point (x1, y1) and having slope, m. The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2
Find the slope of the line that passes through the points (2,3) and (2, -5)
Answer: undefined
Step-by-step explanation:
(-5-3)/(2-2) = -8/0 so the slope is undefined
Which point is in the graphed solution set of this system of inequalities?
{6x+2y>7
7x−2y<16
(4, 4)
(1, −10)
(2, 4)
(−2, 0)
Answer:
(2,4) is the correct answer
Step-by-step explanation:
In order to solve two inequalities, we have to graph the two inequalities on the graph. We have used the online graphing calculator "Desmos' for this purpose.
When two inequalities are graphed, the area that is common in both inequalities is the solution of the system.
We have to observe the graph to check if given points are in solution set of the system.
In the given points, (2,4) lie in the solution set as indicated in the picture.
Hence,
(2,4) is the correct answer
Is −1
4
< −3
4
? Use the number line to explain your answer.
No, because Negative one-fourth is to the left of Negative three-fourths
No, because Negative one-fourth is to the right of Negative three-fourths
Yes, because Negative one-fourth is to the left of Negative three-fourths
Yes, becauseNegative one-fourth is to the right of Negative three-fourths
Answer:
B: No, because -1/4 is to the right of -3/4
Step-by-step explanation:
Just did the question
Answer:
its b
Step-by-step explanation:
got it right
Hope this helps
Solve the inequaility -24
Answer:
24
Step-by-step explanation:
its just the opposite
Original price of a comb: S1.50
Discount: 10%
Answer:
After the discount, the comb would be $1.35
Step-by-step explanation:
If a 18 25 fl oz bottles cost $144.00 how much does one bottle cost?
Answer:
One 25 fl oz bottle costs $8
Step-by-step explanation:
144÷18=8
Answer:
8$ if my math is correct.
Step-by-step explanation:
Kind of a trick question. It is asking how much each bottle costs. You know that there are 18 bottles and have a total cost of $144. You do not need the 25oz for this equation. Lastly, I divided the total cost by 18 to get the total of 8$ for each bottle
A cheetah can run 330 feet in 4 seconds. How fast is the cheetah running in miles per hour?
Answer:
82.5
Step-by-step explanation:
divide 330÷4= 82.5
There are 450 students at Central Middle School. In a survey, 90 of the student chose math as their favorite subject. What percentage of students chose math as their favorite subject?
Answer:
20%
Step-by-step explanation:
The percentage of students who chose math as their favorite subject 20%
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that there are 450 students at Central Middle School. In a survey, 90 of the student chose math as their favorite subject.
The percentage will be calculated as:-
Percentage = ( 90 / 450 ) x 100
Percentage = 0.2 x 100
Percentage = 20%
The percentage will be 20%.
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3а - 10 = a + 20
How do you do this help please it will mean a lot
Answer:
a=15
Step-by-step explanation:
2a-10=20
2a=30
a=15
can i have one brainliest plz
Answer:
a = 15
Step-by-step explanation:
I assumed you were trying to solve for A :)
3a - 10 = a + 20
1. Combine like terms (A's on side, numbers on the other).
3a - 10 = a + 20
-a -a
-----------------------
2a - 10 = 20
+10 +10
------------------------
2a = 30
Now that all of your like terms are combined, work to isolate A. The only way to do this is to divide by 2 on both sides of the equal sign.
[tex]\frac{2a}{2} = \frac{30}{2}[/tex]
This leaves you with a = 15, which is your answer if you are told to solve for A
I hope this helps!
A prism with a base area of 3 m2 and a height of 4 m is dilated by a factor of 3/2
What is the volume of the dilated prism?
Enter your answer, as a
decimal, in the box.
х
Answer:
The value of the new volume 'x' would be equal to 40.5 cm³.
Step-by-step explanation:
Given
base area = 3 m²height = 4mDilation by a factor scale of 3/2.We can determine the volume of the original prism by multiplying the area of the base by the height,
volume = (3 cm²)(4 cm) = 12 cm³
Dilation by a factor of 3/2 means that the dimensions of the new prism is 3/2 times that of the original object.
let 'x' be the volume of the new solid,
[tex]\frac{x}{12}=\left(\frac{3}{2}\right)^3[/tex]
[tex]\frac{x}{12}=\frac{27}{8}[/tex]
Multiply both sides by 12
[tex]\frac{12x}{12}=\frac{27\cdot \:12}{8}[/tex]
[tex]x=\frac{81}{2}[/tex]
[tex]x=40.5[/tex] cm³
Therefore, the value of the new volume 'x' would be equal to 40.5 cm³.
(-14) + 22 + 8 + (-16)
Answer:
0
Step-by-step explanation:
-14+22=8
8+-16=-8
-8+8=0
Answer:
0
Step-by-step explanation:
(-14) + 22 + 8 + (-16)
0
So 0is the answer
In the game of Keno, if six spots are marked, the player wins if four or more of their spots are selected. Find the probability that four winning spots will be selected. (Round your answer to eight decimal places)
Outcome Probability
6 winning spots ________
5 winning spots ________
4 winning spots ________
3 winning spots _________
Answer:
(A) 1.00000000
(B) 0.83333333
(C) 0.66666667
(D) 0.50000000
Step-by-step explanation:
RULE OF THE GAME:
If 6 spots are marked, a player wins if 4 or more of their spots are among the 6.
QUESTION:
Find the probabilities of having the following numbers of winning spots out of 6.
(A) 6 winning spots
6/6 = 1 In 8 decimal places, 1.00000000
(B) 5 winning spots
5/6 = 0.83333333
(C) 4 winning spots
4/6 = 0.66666667
(D) 3 winning spots
3/6 = 1/2 = 0.50000000
The outcome probability will be:
(a) 1.00000000
(b) 0.83333333
(c) 0.66666667
(d) 0.50000000
ProbabilityAccording to the question,
Total spots = 6
Selected spots = 4 or more
(a) Here are 6 winning spots, then
= [tex]\frac{6}{6}[/tex]
= 1 or,
1.00000000
(b) Here are 5 winning spots, then
= [tex]\frac{5}{6}[/tex] or,
= 0.83333333
(c) Here are 4 winning spots, then
= [tex]\frac{4}{6}[/tex] or,
= 0.66666667
(d) Here are 3 winning spots, then
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex] or,
= 0.50000000
Thus the response above is correct.
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What is one important similarity between diffusion and osmosis what is one important difference please help I cannot get this
Find the slope of each line
5y = -2x + 15
Please help me !!!!!!!
Answer:
f(x)=9(x+3)^2+2
Step-by-step explanation:
f(x)=9x^2 --> a=9
f(x)=a(x-h)^2+k -->f(x)=9(x-h)^2+k
vertex= (-3,2) --> h=-3 and k=2--> making it f(x)=9(x+3)^2+2
help me please!!!!!!!!!!!!!
Step-by-step explanation:
0 < X < 24
.....................
Find the measure of 4
90°
26°
116°
64°
What is the product of 4.201 and 5.3? Round to the nearest hundredth
Answer:
22.2653 or 22.27
Step-by-step explanation:
hope this helps
Answer: 22.265
Step-by-step explanation: 4.201x5.3 = 22.265
Andrew is cutting a piece of fencing for his yard. How many pieces of fence that are 5 1/3 inches long can he cut from a section of fence that is 15 3/5 inches long?
Answer:
2 37/40
Step-by-step explanation:
Tracy found the length of GF. Her work is shown below.
Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A E, B F, and C D. The length of line segment A G is 16, the length of line segment G E is 2 x, and the length of line segment B G is 8 x.
16 = 2(2x)
16 = 4x; x = 4
8(4) = 32
GF = 2(32)
GF = 64
What error did Tracy make?
She used AG = 2EG, but the correct statement is 2AG = GE.
She found that x = 4, but the correct value for x is 2.
She used GF = 2BG, but the correct statement is BG = 2GF.
She found that GF = 64, but the correct value of GF is 8.
Answer:
C: She used GF=2BG, but the correct statement is BG=2GF
Step-by-step explanation:
Hope this helps, have a marvelous day!!!!!
Answer:
c
Step-by-step explanation:
3. Which accidental is used in measure 15? How does this accidental alter the original note?
Hunter bought a package of 24 pencils for $3.12. Write and solve an equation to determine the cost of each pencil in the package.
Answer:
24 divided by 3.12=7.69
Step-by-step explanation:
PLEASE HELP I HAVE AN EXAM TOMORROW
Answer:
Plug in 1ft/12in
This will give you 36 ft
Step-by-step explanation:
After plugging in, multiply across and simplify/divide and you get your answer