Answer:
4
Step-by-step explanation:
go on the x-axis where you see 8
go up until you get to the line
go toward the y-axis to the left and read ( it said 4)
The distribution of student scores on the quantitative section of the SATs have an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points. If you randomly select one student who has taken the SAT, what is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs
Answer:
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Step-by-step explanation:
Normal Probability Distribution:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean score of 501 points, and a standard deviation of 85 points.
This means that [tex]\mu = 501, \sigma = 85[/tex]
What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?
This is 1 subtracted by the p-value of Z when X = 600. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{600 - 501}{85}[/tex]
[tex]Z = 1.165[/tex]
[tex]Z = 1.165[/tex] has a p-value of 0.878.
1 - 0.878 = 0.122
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Round your answer to the nearest hundredth.
pls help :((
Answer:
Angle B = 29.74
Step-by-step explanation:
Tan(x)=opp/adj
Tan(x)=4/7
x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]
x=29.74
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
What is the fractional equivalent of the repeating decimal n=0.2727…?
Answer: 3/11 would be the answer
If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²
Answer:
(5^2)(5-7)
Step-by-step explanation:
So we know h(x)=x-7.
We also know g(x)=x^2
We need to plug in these values for (g*h)(5)
This would equal:
((x-7)*x^2)(5)
Since parthese can also be considered multipcation symbols, we can think of this as:
(x-7)(x^2)(5)
Lets distrubute the 5 to all the x's:
(5-7)(5^2)
Which is:
([tex]5^{2}[/tex])(5-7)
This looks like answer C.
Hope this helps!
The expression 4x* represents 144
Answer:
x=36
Step-by-step explanation:
because 4x36=144
Answer:
4x = 144
4 • 36 = 144
The answer to the equation is 36
marks)
9 (b). The first two terms of an arithmetic progression are shown.
р
5p
The sum of the first three terms is 90
Work out the value of p.
9514 1404 393
Answer:
p = 6
Step-by-step explanation:
The difference between the first two terms is ...
5p -p = 4p
Since this is an arithmetic sequence, the next term will be 4p more than the last term:
5p +4p = 9p
Then the sum of the first three terms is ...
p + 5p + 9p = 90
15p = 90 . . . . . . . . . . collect terms
p = 6 . . . . . . . . . . . . divide by 15
_____
The first three terms are 6, 30, 54.
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Answer:
carretilla
Step-by-step explanation:
la carretilla se encontraba a unos 18 metros de altura
brainliestt for answerrrrrrrrrrrr fast
Answer:
1/9 ÷ 2
= 1/9 × 1/2
= 1/18
Step-by-step explanation:
THAT IS MY ANSWER HOPE IT HELPS
Sarah's vegetable soup recipe uses 2
cups of vegetables to make one pot of soup. She wants to triple the recipe.
How many cups of vegetables does she need?
Answer:
No.of cups for one soup : 2 cups
No.of cup for 3 soups: 2×3
=6
So , 6 cups of vegetable
HOPE IT HELPS U :)
Solve for x: 4/x - x/8 = 0
Answer:
[tex]x = \sqrt{32}[/tex]
Step-by-step explanation:
[tex]\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}[/tex]
Can someone please help me?
Answer:
yes i can
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation:
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 81st percentile.
Answer:
[tex]P(81)=56.16[/tex]
Step-by-step explanation:
From the question we are told that:
Mean [tex]\mu=50[/tex]
Standard Deviation [tex]\sigma=7[/tex]
Percentile 81st
Generally Probability of 81st Percentile
[tex]P(Z<x)=81\%[/tex]
Using Standard normal Table
[tex]P(Z<0.88)=81\%[/tex]
Therefore the 81st percentile is given as
[tex]P(81)=z*\sigma *\mu[/tex]
[tex]P(81)=0.88*7*50[/tex]
[tex]P(81)=56.16[/tex]
My exam, does any one know the answer
Answer:
D) 7
Step-by-step explanation:
Five times a number=5x
added to 4= 5x+4
[tex]5x+4=39[/tex]
[tex]5x=35[/tex]
[tex]x=7[/tex]
So, the number is 7.
I need the answer HELP HELP HELP HELP
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
Look at this net for a rectangular prism.
What is the surface area of the solid created by the net? Show your work.
the second part of the question EXPLAIN YOUR THINKING PLZ HELP
The length of the rectangular face is 15 cm, and there are 4 rectangular faces in the rectangular prism. If the length of the rectangular faces in the prism was tripled to 45 cm, what would happen to the size of the 2 rectangular bases of the prism? Explain your thinking.
Answer:
Step-by-step explanation:
the surface area = area of the 4 faces+ area of the 2 bases
4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²
if the length of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answer:
arc AB = 144°/360° x 2π x 10
= 2/5 × 20π = 8π
A baseball pitching coach charges $90 for 2.5 hours of training. If you train for 9 hours in one week, how much will that cost for the week, in dollars?
Answe$324
Step-by-step explanation:
First you divide 9 by 2.5 to get 3.6 which is how many times you practiced for 2.5 hours
Next you multiply 3.6 by 90 to get 324
What is the GCF of xy3 and x3y?
Answer:
xy
Step-by-step explanation:
xy³ and x³y
GCF is xy
Answer:
I think it's xy
Step-by-step explanation:
just find the prime factors of each term
Extremely STUCK on this one help!
Can i get some help hear
Answer:
Step-by-step explanation:
Since this is a assignment, I'll give a hint.
To find the area of a trapezoid, it'ls h(b1*b2)/2.
The height is how long the trapezoid is from each base.
The bases are the lines parralel to each other.
Beth wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp
Answer: 16590
Step-by-step explanation:
Let p be the population proportion of high school students in the area who attend their home basketball games.
As per given,
prior p = 0.5
Margin of error E= 0.01
Criticfor z-value for 99% confidence = 2.576
Sample size will be computed as
[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]
Hence, required sample size = 16590
Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $0.50 if a 4, 5, or 6 is rolled.
a) Find the expected value of playing the game.
b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win___dollars per roll.
2) Elsa can expect to lose money She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).
Answer:
A. 0.75
B. Elsa can expect to gain 0.75 dollars
Step-by-step explanation:
We have six outcomes
Using the table in the attachment, the expected value was calculated.
Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333
= 0.75
B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.
The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.
Find the volume of this cylinder.
Round to the nearest tenth.
16cm
4 cm
[?] cm3
The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².
What is the volume of a right circular cylinder?The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.
Suppose that the radius of the considered right circular cylinder is 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The volume of the given cylinder is,
Volume of the cylinder = (π/4) × (4cm)² × 16cm
= 201.062 cm²
Hence, the volume of the given cylinder is 201.062 cm².
Learn more about the Volume of the Cylinder:
https://brainly.com/question/12763699
#SPJ2
Help please!!!!!!!!!
Answer:
1,5
Step-by-step explanation:
there is an obvious pattern in the coordinate plane and the coordinates (5, 1) completes that pattern
hope that helped :)
Answer: (4,2), (1,2), (4,5]
Step-by-step explanation: hope this helps
P(C)= 0.02. What is the complement of P(C)?
Answer:
P'(C) = 0.98
Step-by-step explanation:
Given that,
P(C) = 0.02 (The probability of getting C)
We need to find the complement of P(C) i.e. P'(C).
We know that,
P(C)+P'(C)=1
P'(C) = 1-P(C)
= 1-0.02
= 0.98
So, the complement of P(C) is equal to 0.98.
The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.
Answer:
Multiply
1/3
Step-by-step explanation:
You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.
LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this