Hope this helps!
What is the slope of a line perpendicular to the line is question is 3x-3y=54? fully reduce your answer. (it’s not 1)
Answer:
-1
Step-by-step explanation:
Has to be the opposite
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population f
Complete Question
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population from the bottom 80% is called the 80th percentile)
Answer:
a
[tex]P(480 < X < 590) = 0.3952[/tex]
b
[tex]x = 664.5 [/tex]
c
[tex]x_1 = 474.67[/tex]
The value is called the [tex]40^{th}[/tex] percentile
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 500[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the percentage of the score that are between 480 and 590 is mathematically represented as
[tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < \frac{ X - \mu }{ \sigma } < \frac{ 590 - 500}{ 100} )[/tex]
Here [tex]\frac{ X -\mu}{\sigma } = Z[/tex]
=> [tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < Z < \frac{ 590 - 500}{ 100} )[/tex]
=> [tex]P(480 < X < 590) = P(-0.2< Z < 0.9 )[/tex]
=> [tex]P(480 < X < 590) = P(Z < 0.9 ) - P(Z<-0.2) [/tex]
From the z table (reference calculator dot net )
[tex] P(Z < 0.9 )= 0.81594 [/tex]
And
[tex] P(Z < -0.2 )= 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.81594 - 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.3952[/tex]
Converting to percent
[tex]P(480 < X < 590) = 0.3952 * 100[/tex]
[tex]P(480 < X < 590) = 39.52\% [/tex]
The percentage invited to join the club is the top 5% , this can be mathematically represented as
[tex]P(X > x ) = 0.05[/tex]
Here x is the score that is within the top 5%
=> [tex]P(X > x) = P( \frac{X - \mu }{\sigma } > \frac{ x - 500}{100} )= 0.05[/tex]
Generally the critical value of 0.05 from the normal distribution table is
[tex]Z_{0.05} = 1.645[/tex]
So
[tex]\frac{ x - 500}{100} = 1.645[/tex]
=> [tex]x - 500 = 164.5[/tex]
=> [tex]x = 664.5 [/tex]
Generally the probability of having a score that separates the top 60% of the population from the bottom 40%
[tex]P(X > x_1 ) = 0.60[/tex]
=> [tex]P(X > x_1) = P(\frac{ X - \mu }{\sigma } > \frac{x - 500}{100} ) = 0.60[/tex]
The critical value of 0.60 from the normal distribution table is
[tex]Z_{0.60} = - 0. 2533[/tex]
So
[tex]\frac{x_1 - 500}{100} = -0.2533[/tex]
=> [tex]x_1 = 474.67[/tex]
From the hint given we can see that this value is called the [tex]40^{th}[/tex] percentile
Decide whether the given statement is true or false.
7€ {4, 1, 6, 9)
Choose the correct answer below.
True
False
Answer:
esta Frase es correcta se a los amigos de mis Padres true false
Consider the table representing an exponential function.
The equation for this function is
f(x) =
Answer:
Its 8, and 0.5
Step-by-step explanation:
Circle YES or NO The terms 15and 9are like terms.
Circle YES or NO The terms -10xy and 9x are like terms.
Answer:
yes, and no
Step-by-step explanation:
Answer:
YES
NO
Step-by-step explanation:
15 and 9 are like terms because they can be simplified together. 15+9, 15-9, 15*9 can all be simplified further.
-10xy and 9x are not like terms because they cannot be simplified without the variables first being defined.
Unit Post Test
Suomi Test
Reader TOOLS
2
-6
- 2
-2
4
6
The function g> is a transformation of AX). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
OA. 80%) = 1x) - 2
B. gx) = Rx+ 2)
OC. 8) = px - 5)
OD. 81%) = Rx) - 5
Reset
Next
Answer:
r
Step-by-step explanation:
what is the product of (2/5x-3/4y^2) and (2/5x+3/4y^2)?
Answer:
[tex]\frac{2x}{5}- \frac{3y^{2} }{4}[/tex]
Step-by-step explanation:
(2/5x-3/4y^2) & (2/5x+3/4y^2) is [tex]\frac{2x}{5}- \frac{3y^{2} }{4}\\[/tex]
What is -2/5 times 5/9?
Answer:
[tex]-\frac{2}{9}[/tex]
Write the polynomial in terms of its linear factors.
P(x) 2x^4 - 4x^3 - 16x^2
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Answer:
P(x) = (2x)(x)(x-4)(x+2)
Step-by-step explanation:
Once the common factor of 2x^2 is factored out, you have ...
P(x) = 2x^2(x^2 -2x -8)
To factor the quadratic, you look for factors of -8 that have a sum of -2.
-8 = (1)(-8) = 2(-4)
These last factors have that sum, so we can write P(x) as ...
P(x) = (2x)(x)(x +2)(x -4)
Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to to type 10 2/3 pages? Complete the rate table to solve the proportion
Answer:
The answer is 8 because you need to add 1 1/3 eight times to get 10 2/3
Answer:
It takes two hours
Step-by-step explanation:
Add the fractions. Write your answer as a mixed number 3/5+4/5
Answer:
Step-by-step explanation:
3 + 4 = 7.
the denominator stays the same. You only add the numerators.
7/5 in mixed number form is 1 2/5 because 7 goes into 5 once. so kinda like 7 - 5 = 2. and the 2 goes on top now.
1 inch= 2.54 cm
How many centimeters equal 5 feet?
762 cm
300 cm
152.4 cm
12.7 cm
Answer:
152.4 cm is the answer
Step-by-step explanation:
Answer:
152.4cm
Step-by-step explanation:
The average of 5 distinct scores has the same value as
the median of the 5 scores. The sum of the 5 scores is
420. What is the sum of the 4 scores that are NOT the
median?
Answer: 336 is the sum of the non-median scores
Step-by-step explanation: if the sum of 5 scores is 420, the average is 420/5 = 84
That is also the median to be subtracted: 420-84= 336
Identify the degree of rotation from the origin.
Please help guys
Answer:
:)
Step-by-step explanation:
It's B . carmel.bratz go add the snap
4/5 + 3 1/10
Please answer quick (◍•ᴗ•◍)❤
Answer:
3 9/10
Step-by-step explanation:
Find the common factor
8/10+3 1/10
3 9/10
Simplify the algebraic expression by combining like (or similar) terms.
-7x - 8y- 5x - 6y
Answer:
-12x - 14y
Step-by-step explanation:
First I would move them side by side so I can see it better so:
-7x - 5x - 8y - 6y
now combine the x values together and the y values together:
-12x - 14y
The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 liters. About how many gallons of water are in the pool?
gallons
Answer:
20,000 gallons
Step-by-step explanation:
75,700 ÷ 3.785 = 20,000 gallons that are in the pool.
Answer:
20,000
Step-by-step explanation:
hoped this helped :D
An airplane flies with a constant speed of 660 miles per hour. How long will it take to travel a distance of 2475 miles?
9514 1404 393
Answer:
3.75 hours
Step-by-step explanation:
Travel time can be found using the relation ...
time = distance/speed
time = (2475 mi)/(660 mi/h) = 3.75 h
It will take 3 3/4 hours to travel that distance.
A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?
Answer:
2,584
Step-by-step explanation:
You just add or subtract the numbers if hes going up or down.
The number of pages read varies directly as the number of minutes spent reading. After 20 minutes, Zack had read 12 pages. How many pages can Zack read in 35 minutes? Do not include units in your answer.
Answer:
21
Step-by-step explanation:
Find the value of x so that f(x)=7.
Answer:
slope: 0
y intercept: (0, 7)
Step-by-step explanation:
There are 10 girls for every 12 boys. If there are 50 girls, how many boys are there?
Answer:
60
Step-by-step explanation:
you have to have a constant. the constant is 5 so 12*5=60
Choose the most appropriate name for the function described below.
The efficiency of a car depends on the weight of the car.
A. Weight(car), or W(c)
B. Efficiency(weight), or E(w)
C. Efficiency(car), or E(c)
D. Weight(efficiency), or W(e)
Answer: The answer is Weight(car), or W(c)
Step-by-step explanation: Hope this helps!!
Answer:
THE CORRECT ANSWER IS: EFFICIENCY(weight), or E(w)
Step-by-step explanation:
The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Answer:
1. |40 – 4x| < 4
2. 9 < x < 11
Step-by-step explanation:
We'll begin by calculating the area of each figure. This can be obtained as follow:
For triangle:
Area = ½ × base × height
Base = 8
Height = 6
Area =?
Area = ½ × 8 × 6
Area = 4 × 6
Area = 24
For Rectangle:
Area = length × breadth
Length = x – 4
Breadth = 4
Area =?
Area = (x – 4) × 4
Area = 4x – 16
Summary:
Area of triangle (Aₜ) = 24
Area of rectangle (Aᵣ) = 4x – 16
1. Writing an absolute value for the inequality.
From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:
Aₜ – Aᵣ < 4
Area of triangle (Aₜ) = 24
Area of rectangle (Aᵣ) = 4x – 16
24 – (4x – 16) < 4
Simplify
24 – (4x – 16) < 4
Clear bracket
24 – 4x + 16 < 4
24 + 16 – 4x < 4
40 – 4x < 4
Thus, we can write the absolute value for the above inequality as:
|40 – 4x| < 4
2. Determination of the solution of the inequality.
This is illustrated below:
|40 – 4x| < 4
Thus the above equation can be written as
– 4 < 40 – 4x < 4
Subtract 40 from both side
– 4 – 40 < 40 – 4x – 40 < 4 –40
– 44 < – 4x < – 36
Divide through by –4
– 44/–4 < x < – 36/–4
11 > x > 9
Note: the inequality sign changed because we divided by a negative number
Thus, 11 > x > 9 becomes 9 < x < 11
Therefore, the solution to the inequality is 9 < x < 11
Find the midpoint of the segment with the endpoints: (-2, 6) and (-3, 7)
Answer:
The midpoint is ( -2.5, 6.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-2+-3)/2 = -5/2 = -2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+7)/2 = 13/2 = 6.5
The midpoint is ( -2.5, 6.5)
The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about
Please help!! ASAP!! Graph Y=3/8x-2
Which of the following is a point on the graph of y-7=3(x-5)
Cindy and Victoria completed 8/9 of their job in a day. Cindy has done 1/9 of the work. How much of the work was done by Victoria?
Answer:
7/9 of the work was done by Victoria.
Step-by-step explanation:
8/9-1/9=7/9
PLEASE HELP ASAP What part of 6 3/5 is 3 /10 ? PLS HELP ASAP
Answer:
the 3/5 part of 6 3/5
Step-by-step explanation:
3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.
