[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]17[/tex] [tex]because[/tex] [tex]you[/tex] [tex]needed[/tex] [tex]to[/tex] [tex]subtract[/tex] [tex]37 and20[/tex]
[tex]- Yaoii[/tex]
Hey guys how do you find the perimeter of this shape in inches (explain)
Please helpppp
3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295. Suppose a school council awards a certificate of excellence to all students who score at least 1900 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 2100
Answer:
0.2333 = 23.33% probability this student's score will be at least 2100.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, and conditional probability.
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 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.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295.
This means that [tex]\mu = 1490, \sigma = 295[/tex]
In this question:
Event A: Student was recognized.
Event B: Student scored at least 2100.
Probability of a student being recognized:
Probability of scoring at least 1900, which is 1 subtracted by the pvalue of Z when X = 1900. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1900 - 1490}{295}[/tex]
[tex]Z = 1.39[/tex]
[tex]Z = 1.39[/tex] has a pvalue of 0.9177
1 - 0.9177 = 0.0823
This means that [tex]P(A) = 0.0823[/tex]
Probability of a student being recognized and scoring at least 2100:
Intersection between at least 1900 and at least 2100 is at least 2100, so this is 1 subtracted by the pvalue of Z when X = 2100.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2100 - 1490}{295}[/tex]
[tex]Z = 2.07[/tex]
[tex]Z = 2.07[/tex] has a pvalue of 0.9808
This means that [tex]P(A \cap B) = 1 - 0.9808 = 0.0192[/tex]
What is the probability this student's score will be at least 2100?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0192}{0.0823} = 0.2333[/tex]
0.2333 = 23.33% probability this student's score will be at least 2100.
Find the zeros of the function below.
\small -7x=x^2+12
Answer:
read explanation
Step-by-step explanation:
this is a quadratic equation
first, move the 7x over to the other side so that we have 0 on one side
x^2+7x+12=0
now, we can factor
turn 7x into 3x and 4x, so x^2+3x+4x+12=0
you can turn x^2+3x into x(x+3) and 4x+12 into 4(x+3)
so, our new equation is x(x+3)+4(x+3)=0
that can be turned into (x+4)(x+3)=0 via the distributive property
so, either x+4 or x+3 has to be equal to 0
so, x is either -4 or -3
hope this helped
For which value of k does the system has no solutions?
Equation:
3x + y = 4
kx + y = −2
Answers:
A: -3
B: -2
C: 3
D: 4
Answer:
The answer to this question is 4
Step-by-step explanation:
A large school district is considering implementing a program that, if successful, would improve the reading scores of its students by 10 points. The current reading scores for the district are normally distributed with a mean of 25 and a standard deviation of 8. The administrators decide to test the new program in one school of 200 students. What is the standard deviation of the comparison distribution
Answer:
The standard deviation of the comparison distribution is 0.5657.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
Standard deviation of the population is 8, sample of 200. So
[tex]s = \frac{8}{\sqrt{200}} = 0.5657[/tex]
The standard deviation of the comparison distribution is 0.5657.
I need the answer for this one please
Answer:
Step-by-step explanation:
65
Nathan bought 4 pounds of chicken for $8. How many pounds can he buy for $20? *
Answer:
The correct answer is 10 pounds of chicken
Step-by-step explanation:
First you do 8 divided by 4 to equal the unit price of 1 pound of chicken for 2 dollars then you do 20 divided by 2 to equal 10 pounds of chicken for 20 dollars
HAVE A GOOD DAY!
find the surface area of a cylinder with the height of 10 inches and a base diameter of 6 in
Answer:
339.24
Step-by-step explanation:
To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2
The radius is half the diameter do r=3
3.14(3)^2 should give you about 28.27.
This is the area of the top and bottom of the cylinder.
Now, do 28.27x10=282.7 to find the height surface area.
282.7+28.27+28.27=Surface area.
SA= about 339.24
Please help me asap this is my math homework
Answer:
3.5 would be the answer
Step-by-step explanation:
A rectangular prism has a length of 11 centimeters, a height of 13 centimeters, and a width of 2 centimeters. What is its volume, in cubic centimeters?
Answer:
286 cm
Step-by-step explanation:
Answer:
286 centimeters³
Step-by-step explanation:
identify variable: L=11 W=2 H=13
use volume of a rectangular prism formula: V=LWH
substitute variables into formula: V=(11)(2)(3)
V=286 cm³
What is the value of x in the figure below?
Answer:
x = 25°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
The given triangle is a right triangle which means one of its angle has a measure of 90°
since thd other angle is given as 65 to calculate x we just add the given measures and subtract it from 180
90° + 65 + x = 180
155 + x = 180 subtract 155 from both sides
x = 25°
PLSSS hurry this is on my EXAM
A family installs and fills an aboveground pool. The swimming pool costs $850 to install, and it costs $75 per thousand gallons of water to fill.
Which function represents the total cost, C, of installing and filling a pool with 2 thousands of gallons of water?
Wouldnt that just be 75x2? bc if so then
The answer is:
75x2=150+ 850=1000
PLEASEEEEEEEEEEEEEEE HELP ME WILL GIVE BRAINLIST
You have 33 nickels and quarters whose value is $3.85. Find the number of nickels and quarters that
you have.
What is the answer
Answer:
11 quarters- 2.75
22 nickels- 1.10
Find the AREA of the triangle below.
Answer:
212.5
Step-by-step explanation:
a=b*h/2
b=25
h=17
25*17 =425
425/2=212.5
a=212.5
Find the value of −12 + 8 −(−9). Question 20 options: −13 −5 13 5
Answer:
D) 5
Step-by-step explanation:
-12 + 8 + 9 = 5
Need answers right away due tonight please. Geometry composite shapes.
Miguel is a boxer. He had to decrease his weight by 4%
to 160 pounds in order to fight in this weight class.
What was his starting weight? Round his weight to the
nearest hundredth. Show your work.
Answer:
166.66 pounds
Step-by-step explanation:
160/0.96=166.66667
This is how I remember doing these questions
Determine which two values the following expression is between.
[tex]\sqrt[7]{37\\}[/tex]
Answer:
A. 42.57 and 42.58
42.579337.......
james jogged around the track 0.68 hours at an average speed 28.9 miles per hour how far did he jog?
Answer:
Step-by-step explanation:
0.68hr(28.9mi/hr)=19.652mi
This is my last question please help me!
Answer:
D) 0.848
Step-by-step explanation:
Marginal Relative Frequency is when you divide the square(s) by the very total, in this case: 231.
Dividing 196/231, you get 0.848484 repeating.
Hope it helps!!!
Simplify the following expression.
Answer:
x^(4/21)
Step-by-step explanation:
Use the table that shows the results of a class poll.
Question
Yes
No
Do
you walk to school?
18% yes
82% no
Is there a pet in your home?
14
—— yes
25
11
—— no
25
Do you play on a sports team?
0.42 yes
0.58 no
Which category in the table shows the least portion of the class?
Answer:
The people who said Yes to having a pet in their home is greater
Step-by-step explanation:
We are asked to compare 18% and 14/25. Let's get them to their lowest common denominator:
18% = 18/100
14/25 * 4 = 56/100
18/100 is clearly much less than 56/100. If you don't want to write all this out, you can also eyeball that 14/25 is over half, whereas 18% is not close to half.
I hope this helps! Sorry if its doesn't though:( I hope you have a amazing day! And maybe you could mark this brainly?
Figure A ~Figure B.
Figure A
Figure B
3 ft
10 ft
2 ft
4 ft
V = 120 cu ft
Find the volume of Figure B.
[?] ft!
Answer:
15 cu ft
Step-by-step explanation:
figure A~figure B
4-->2 ft
10-->5 ft
3-->1.5 ft
V=2×5×1.5=15 cu ft
The volume of Figure B is 15 [tex]ft^{3}[/tex]
What is ratio of similarity in similar figures?The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio.
According to the question
Figure A ≈ Figure B
Therefore , ratio of corresponding sides have the same ratio .
Figure A Figure B
4 ft ⇒ 2 ft (given )
( As ratio of [tex]\frac{side\\\ of\\\ figure A}{side\\\ of\\\ figure B} = \frac{2}{1}[/tex] )
10 ft ⇒ 5 ft
3 ft ⇒ 1.5 ft
Now, volume of Figure B (which is cuboid ) = Length * Breath * Height
= 2 * 5 * 1.5
= 15 [tex]ft^{3}[/tex]
Hence, the volume of Figure B is 15 [tex]ft^{3}[/tex]
To know more about ratio of similarity here:
https://brainly.com/question/39796
#SPJ2
.
-2x-6y= 36-4x
2(3x - 3y) =36
4x-6y + 36 = -2x
Answer:
a67y.....................
In the song, 7 pounds, 5 ounces was the median weight of the students at birth. Which of these is correct?
Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.
Step-by-step explanation:
The recommended number of flowers to plant in a garden is probational to its area as shown in the table below. What is the recommended number of flowers for a garden of 24 square feet?
Answer:
The recommended number of flowers is 32
Step-by-step explanation:
Given
The attached graph
Required
The number of flowers when area = 15
First, calculate the slope (m)
Considering
[tex](x_1,y1) = (12,60)[/tex]
[tex](x_2,y_2) = (15,20)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{20-16}{15-12}[/tex]
[tex]m = \frac{4}{3}[/tex]
Considering:
[tex](x_1,y_1) = (15,20)[/tex]
[tex](x_2,y_2) = (24,y)[/tex]
The slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{y - 20}{24 - 15}[/tex]
[tex]m = \frac{y - 20}{9}[/tex]
Recall that: [tex]m = \frac{4}{3}[/tex]
So:
[tex]\frac{4}{3} = \frac{y - 20}{9}[/tex]
Multiply through by 9
[tex]3*4 = y - 20[/tex]
[tex]y = 20 + 3 * 4[/tex]
[tex]y = 32[/tex]
A cheerleading team practices each week for 375 minutes. The team practiced for 26 weeks during the year. How many minutes did the team practice during the year?
Answer:
9750 min or 162.5 hours
Step-by-step explanation:
375 times 26 = 9750
Answer:
C) 24 cheerleaders
Step-by-step explanation:
20 last year
subtract 3 for those who decided not to join
20 -3 = 17
add 7 for those who joined
17 + 7 = 24
there are 24 cheer leaders
hope it help
Select all the statements that are true about the triangles
Answer: yeah sry i need point
Step-by-step explanation:
Is 6 a factor of 42x + 30y