Answer:
The value that corresponds to the 75th percentile is 16.35.
Step-by-step explanation:
Problems of normal distributions can be solved using 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.
A normal distribution has a mean of 15 and a standard deviation of 2.
This means that [tex]\mu = 15, \sigma = 2[/tex]
Find the value that corresponds to the 75th percentile.
This is X when Z has a pvalue of 0.75. So X when [tex]Z = 0.675[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 15}{2}[/tex]
[tex]X - 15 = 2*0.675[/tex]
[tex]X = 2*0.675 + 15[/tex]
[tex]X = 16.35[/tex]
The value that corresponds to the 75th percentile is 16.35.
How many types of congruence criterion are in total.Name them
Answer:
Various types of Congruency are:
1. ASA (Angle Side Angle)
2. SSS (Side Side Side)
3. SAS (Side-Angle-Side)
4. AAS (Angle-Angle-Side)
5. RHS (Right angle-Hypotenuse-Side)
As of what I had learned (class 9) this is all but I am not sure if there are more
Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2 respectively. Suppose coins are placed together in a box and you randomly picked a coin from the box. Flip the coin 10 times. Let A denote the event you randomly chose coin C1. Let B denote the event that you got exactly 4 heads out of the 10 coin flips.
Compute the following probabilities:
P(A∩B)
P(B)
P(A|B)
Solution :
[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]
[tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]
= 0.0836
P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)
[tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]
[tex]$=0.0836+0.0684+0.0294$[/tex]
[tex]$=0.1813$[/tex]
P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]
[tex]$=\frac{0.0836}{0.1813}$[/tex]
[tex]$=0.4611$[/tex]
1. The band must eam at least $75 for a trip. Band members
already earned $35. Write and solve an inequality to find how
much money they still need to eam.
Answer:
$75 * $35 = $2,625
Step-by-step explanation:
75 * 35=2625
what is 10/5 + 5????????
Answer:
7
Step-by-step explanation:
Answer:
mira ami me aparece cien
Step-by-step explanation:
pues creo que no es
In the first quadrant, you start at (10,7)
and move 8 units left and 5 units up
What point will you end up on?
Answer: ( 2,12 )
Step-by-step explanation:
thank you in advance!!
Answer:
Fourth option: y = 2/5x - 3
Step-by-step explanation:
it is perpendicular :)
Answer:
Your answer y=-5/2x + 6
Mark it as brainlist answer. As soon as possible.
Which table or graph shows the value of y going down as the value of x goes up?
Answer:
c.
Step-by-step explanation:
two distance are in the ratio 9 to 4 if the first distance is 270km, what is the second distance?
Let's practice a little algebra and set the second distance to x.
9/4=270/x
solve
9x=270*4
x=30*4
x=120
The second distance is 120.
Done! any question about this just ask me in the comment.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole
Please don’t put random numbers i just want the answer, I’ll make you brainliest
The volume πr^2*height/3=1471
π*r^2=1471/9*3
π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)
r^2=490.33/3.14(taking 3.14 for pi)=about 156.16
r= sqrt 156.16=about 12.5
Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!
Directions: Find the missing term in each pair of equivalent ratios.
1. 3:4 = 21:n
2. 1:5 = n : 40
3. 2 : n = 8 : 12
4. n = 2
42 7
5. 4 = 20
9 n
Step-by-step explanation:
1 multiplied by 7
3;4=21:28
2) multiplied by 8
1:5= 8:40
3)divided by 4
2:3= 8:12
4) multiplied by 6
12/42= 2/7
5) multiplied by 5
4/9= 20/45
Convertion
2 km lh to m/s
Answer:
[tex]\huge\boxed{2\dfrac{km}{h}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}}[/tex]
Step-by-step explanation:
[tex]1km=1,000m\\1h=3,600s\\\\2\dfrac{km}{h}=2\cdot\dfrac{1000m}{3600s}=2\cdot\dfrac{10m}{36s}=\dfrac{20}{36}\ \dfrac{m}{s}=\dfrac{20:4}{36:4}\ \dfrac{m}{s}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}[/tex]
Please help. Thank you I am out of points because people are stealing them.
A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?
a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
On a boat tour there are half as many children as there are adults. There are 30 people on the tour. How many children are there?
Answer:
10 children
Step-by-step explanation:
= 28.16
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(b) Shari does not like her arrangement. She gets her to lay them out like a cross. What is
the perimeter of her arrangement?
Answer:
20 m
Step-by-step explanation:
4(3+2) = 20
I need help asap!!!!
Step-by-step explanation:
step 1. a circle has an area, A, of 81(pi)
step 2. A = (pi)r^2 = 81(pi)
step 3. therefore r^2 = 81 or r = 9
step 4. if the radius is 9 inches then the diameter is 18 inches.
Can someone help me and please explain how you got the answer so I can learn?
Answer:
70
Step-by-step explanation:
Find the value of 17
33 rounded to the nearest ten-thousandth.
Answer:
0.5152
Step-by-step explanation:
The sum of two numbers is 16. Find the two numbers and their product if their product is to be a maximum
It ia 16 espero ter ajudado
Which line is the line of reflection?
Answer:
b
Step-by-step explanation:
because those two triangles are face to face
please help aaa last Q cries
Answer:
C
Step-by-step explanation:
Hope it helps!
Answer:
Answer C is correct
Step-by-step explanation:
The left side equals 1/25, but the righ side is 625
(I usually give a better explanation, but i'm in a bit of a rush. sorry!)
1.101^3 in normal form
Answer:
The answer is 1,101.
Step-by-step explanation:
1.101 ^ 2 = 11.01
And 1.101 ^ 4 = 11,010.
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
Answer:
64.5°
25
Step-by-step explanation:
64.5° (If they are similar, they have the same angle measurements).
You can figure out z by using ratios.
6/10=15/z
cross multiply
150=6z
150÷6=z
z=25 (Although, there is a problem with this. If you use the Pythagorean theorem to find z, you get 28.8).
12.5(7) + 11.9(8)=?
Answer:the answer is 182.7
Step-by-step explanation:brainliest please Sans Undertale out
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Mark buys $65 worth of of building supplies. He uses a 25% off coupon. What will be the new price?
Answer:
Step-by-step explanation:
65(1-25/100)
65(75/100)
65(.75)
$48.75
Which of the following goes through (-2,4)
-x+3y=10
2x-2y=-4
-3x+y=10
x-y=6
Write the formula for slope, for the point-slope
form of a line, and for the slope-intercept form of a
line.
I need help pls how do u do this step by step? ):
Simplify (3^z)^6 in exponent notation
Answer:
3^6z
Step-by-step explanation:
you multiply 6 and z since they are exponets and one is in a (
Answer:
3 to the power of 6z of 3^6z
Step-by-step explanation:
