Some IQ tests are standardized to a Normal model N(100,19). What is the cutoff value for the top 5% of all IQs
Answer:
The cutoff value for the top 5% of all IQs is 131.255.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 100, \sigma = 19[/tex]
What is the cutoff value for the top 5% of all IQs
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 100}{19}[/tex]
[tex]X - 100 = 19*1.645[/tex]
[tex]X = 131.255[/tex]
The cutoff value for the top 5% of all IQs is 131.255.
Which expression is equivalent to the expression shown? (5^4)2
Answer:
5^8
Step-by-step explanation:
You multiply the exponents!!
Writing A farmer recently sold a large plot of land. The sale decreased his total acreage by 3%.
Let v be the original acreage. Find two equivalent expressions that will give the new acreage. Use
pencil and paper. Use the expressions to describe two ways to find the new acreage.
Which two expressions will give the new acreage?
A. V-3v
B. 0.97 -0.03v
C. 0.03v
OD. 3V
E. 0.97v
OF. V-0.03v
Answer:
g
Step-by-step explanation:
g
Answer:
F and E
Step-by-step explanation:
Does the graph represent a function?
Answer: Yes, It's a Function
Step-by-step explanation: The lines dont cross the X-Axis more than once
7y + 3 = 8y − 7 + 2y
Answer:
Y=10/3
Step-by-step explanation:
Answer:
Exact Form:
y
=
10
3
Decimal Form:
y
=
3.
¯
3
Mixed Number Form:
y
=
3
1
3
Step-by-step explanation:
heehehehehhehehheheheheheehe ehe he e
Answer:
8 batches
Step-by-step explanation:
divide 5 1/3 and 2/3
Hope this helps
Rich took a train to visit his aunt. The train traveled at an average speed of 60 mph. The trip took 45 minutes. How far was the distance traveled?
Brandy attaches some trim to create a decorative border around the edges of a circular
mirror. The original mirror had a radius of 4.5 inches and a circumference of 28.26 inches.
With the trim added, the mirror now has a diameter of 10 inches. Is the circumference of
the trimmed mirror greater or less than 30 inches?
The answer is greater
A Paper weight has the shape of a regular triangular pyramid find the surface area of the paperweight put the answer in Square meters
Will Mark brainlest if correct
Answer:
70.75 in²Step-by-step explanation:
area of a triangular pyramid = base area + 3(triangular sides area)
= 1/2 (5) 4.3 + 3 (1/2 x 5 x 8)
= 10.75 + 3(20)
= 70.75 in²
Helppppppppppppppppp
I show it in the picture
Answer:
B
Step-by-step explanation:
4a^4 b^-1
4a^4 * 1/b
4 a^4/b
(30 points)
in the figure AB/CD. What are the values of x and y?
A: x=32, y=140
b: x=140, y=52
c: x=52, y=140
d: x=38, y=154
Answer:
C.
Step-by-step explanation:
interior angles for ABCD is 360° and for ABO(triangle above) is 180°
from triangle,
you will get angle for OBA which is 180° - 38° - 90° = 52°
from angle B, we know that, straight line is 180°.
so,
180° = 52° +y- 12°
y = 140°
so, we can calculate x.
360° = 90° + 90° + 128° + x
x = 52°
Helpppppppppppppppp
Dina runs 3 miles in 36 minutes. How far can she run in 72 minutes?
Answer:
6 miles foo
Step-by-step explanation:
hook it up w brainliest
Answer:
6
Step-by-step explanation:
Butterfly method
36/3 is the 3 miles in 36 mins
72/x the x is what your trying to find
multiply them
36x = 216
divide them next
36÷216= 6
theres your answer
-11x - 7y=-56 what is the slope and y intercept
Answer:
49/11 I think I'm not sure
Find the slope of the line graphed below.
Answer:
m=3/4
Step-by-step explanation:
slope formula= change in y over change in x
4-1/2-(-2)=3/4
Answer:the slope is 4/3 or 1 1/3 or 1.333333333
Step-by-step explanation:2-(-2)/4-1=4/3
Convert 24 4/5 into percent
Answer:
they deleted my answer but yes its 2480%
Step-by-step explanation:
The program manager for an amateur performance night auditioned 12 acts, but there is only room for 3 acts on the program. How many different ways can the program manager arrange 3 different acts from the original 12
Answer:
There are 220 different ways to arrange the acts.
Step-by-step explanation:
The order in which the acts are arranged is not important, so we use the combinations formula to solve this question.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different ways can the program manager arrange 3 different acts from the original 12
Three acts from a set of 12. So
[tex]C_{12,3} = \frac{12!}{3!(12-9)!} = 220[/tex]
There are 220 different ways to arrange the acts.
Please show how to get answer for if a bus traveled 315 miles in 9 hours, how far did it travel in 3 hours?
Answer: Its will be 105
Step-by-step explanation: But this is how you get it 315 divided by 3 = 105 or 9x35=315 divided by 3 =105
PLS HELP PLSPLSPLS thank you!!!!
10. Susan will take out a loan for $7500 to buy a used car. The simple
interest rate is 5% for 5 years. How much money will she pay the bank?
back in total?
The Starks spend $84 on a meal out. If they want to leave a 22% tip, which of
the following expressions would determine their total?
84(0.22)
O 84(0.88)
84(0.78)
84 + 84(0.22)
84(1.22)
Help Please I need help Now
Answer:
84 + 84(0.22)
Step-by-step explanation:
In order to find the amount of the tip you need to do 84x0.22 then you add that on to the original price
Patty wants a triangle garden in her backyard for all of her vegetables. She
is going to use three pieces of fencing that measure 7 feet, 10 feet, and 8
feet. Will her garden be in the shape of a right triangle? Why or why not?
Answer:
Step-by-step explanation:
the hypothenuse is the largest side in the right triangle
we have 2 side, 7,8
in a right triangle, c^2= a^2+b^2
where c is the hypothenuse
c^2=49+64=113
c=sqrt113=aprox 10.6
so, the answer is no if it has to be exactly 10 ft the hypotenuse
Which of the following equations has a solution that is negative?
A. 0 -0.4x + 4 = -1.6
B. -0.4(x + 1.6) = 1.6
C. -0.4(-x + 1.6) = 1.6
D. O- 0.4x - 4 + 1.6x = - 1.6
Answer:
A
Step-by-step explanation:
I think it's this answer
i dont know
A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage of the original bill?
Fill in the blank with a percent .Round your percent to whole numbers like 11%
Jeff left a tip of %
AaBbCc x AaBbCc (use for all 3 questions) 1. What is the probability that this individual will: AABBcc 2. What is the probability that this individual will: AaBBcc 3. What is the probability that this individual will: AaBbCc
Answer: 1. P = 1/64
2. P = 1/32
3. P = 1/8
Step-by-step explanation:
In genetics, an ofspring inherits one copy of an allele of each parent, which can be described in the tables below called Punnett Square:
For crossing Aa x Aa:
A a
A AA Aa
a Aa aa
For crossing Bb x Bb:
B b
B BB Bb
b Bb bb
For crossing Cc x Cc:
C c
C CC Cc
c Cc cc
We can separate them because they are assorted independently.
For offspring with genotype AABBcc, probability will be:
P(AA) = 1/4
P(BB) = 1/4
P(cc) = 1/4
As all three probabilities has to happen at the same time, it is a "E" rule:
P(AABBcc) = [tex](\frac{1}{4}) (\frac{1}{4}) (\frac{1}{4})[/tex]
P(AABBcc) = 1/64
Probability for the individual to be AABBcc is 1/64 or 1.56%.
Genotype AaBBcc:
P(Aa) = 2/4 = 1/2
P(BB) = 1/4
P(cc) = 1/4
P(AaBBcc) = [tex](\frac{1}{2}) (\frac{1}{4}) (\frac{1}{4})[/tex]
P(AaBBcc) = 1/32
Probability for the individual to be AaBBcc is 1/32 or 3.12%
Genotype AaBbCc:
P(Aa) = 1/2
P(Bb) = 1/2
P(Cc) = 1/2
P(AaBbCc) = [tex](\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})[/tex]
P(AaBbCc) = 1/8
Probability for the individual to be AaBbCc is 1/8 or 12.5%.
The width of a rectangle is 4y - 8.5 feet and the length is 8.5y + 10 feet. Find the perimeter of the rectangle.
Answer:
P = 25y + 3
Step-by-step explanation:
Draw out the figure. You should know that 2(width+length) = Perimeter.
Therefore, when you plug everything in, your expression should look like this:
2(12.5y+1.5) = P
In the end, since you don’t have any other information about y, your final answer would be 25y + 3 = P.
In the given figure, the area of △ADE is 16 units. What is the area of △ABC?
Answer:
(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.
Ratio of DE to BC is 4:6 => 2:3
To find area, we need to raise the ratio of length to power 2
(2/3)² = 16/x
4/9 = 16/x
x = (16*9)/4
x = 36cm²
Therefore, area of triangle ABC is 36cm²
(ii) Ratio of DE to BC is 4:8 => 1:2
(1/2)² = 25/x
1/4 = 25/x
x = 25*4
x = 100cm²
Therefore, area of triangle ABC is 100cm²
I'm not sure about the third question, sorry
Step-by-step explanation:
8=-2/5c what does c=
Answer:
c is -1/20
Step-by-step explanation:
sorry, i don't know how to get the answer
i literally typed it up
A car dealership pays $8,350 for a car. They mark up the price by 18% to get the retail price. What is the retail price of the car at this dealership?
Answer:
$9,853
Step-by-step explanation:
18% of $8,350 is $1,503, so if the price increased by 18%, we must add $8,350 and $1,503, which would equal $9,853.