Answer:
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Step-by-step explanation:
Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.
Given equation is:
[tex]p = \frac{3y}{q}[/tex]
Multiplication property of equality(Multiplying both sides by q)
[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]
Division property of equality(Dividing both sides by 3)
[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]
Hence,
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal placesa. If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480.e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?
Answer:
a. 0.2898
b. 0.0218
c. 0.1210
d. 0.1515
e. This is because the population is normally distributed.
Step-by-step explanation:
Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places
We are using the z score formula when random samples
This is given as:
z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.
For x = 1500, n = 100
z = 1500 - 1518/325/√100
z = -18/325/10
z = -18/32.5
z = -0.55385
Probability value from Z-Table:
P(x<1500) = 0.28984
Approximately = 0.2898
b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600
For x = 1600, n = 64
= z = 1600 - 1518/325/√64.
z= 1600 - 1518 /325/8
z = 2.01846
Probability value from Z-Table:
P(x<1600) = 0.97823
P(x>1600) = 1 - P(x<1600) = 0.021772
Approximately = 0.0218
c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575
For x = 1550, n = 25
z = 1550 - 1518/325/√25
z = 1550 - 1518/325/5
z = 1550 - 1518/65
= 0.49231
Probability value from Z-Table:
P(x = 1550) = 0.68875
For x = 1575 , n = 25
z = 1575 - 1518/325/√25
z = 1575 - 1518/325/5
z = 1575 - 1518/65
z = 0.87692
Probability value from Z-Table:
P(x=1575) = 0.80974
The probability that they have a mean between 1550 and 1575
P(x = 1575) - P(x = 1550)
= 0.80974 - 0.68875
= 0.12099
Approximately = 0.1210
d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480
For x = 1440, n = 16
z = 1440 - 1518/325/√16
= -0.96
Probability value from Z-Table:
P(x = 1440) = 0.16853
For x = 1480, n = 16
z = 1480 - 1518/325/√16
=-0.46769
Probability value from Z-Table:
P(x = 1480) = 0.32
The probability that they have a mean between 1440 and 1480
P(x = 1480) - P(x = 1440)
= 0.32 - 0.16853
= 0.15147
Approximately = 0.1515
e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?
The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.
Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi
Answer: B) x=-pi/2 , x=pi/2
Step-by-step explanation:
Just did it!
Answer:
B
Step-by-step explanation:
Edge 2020
W
The model represents 100% of the cost of a trip to the
Bahamas
Which model represents the cost of the trip if the trip cost is
discounted 26%?
Answer:
B. 74 / 100
Explanation:
I got it right on the test :)
Solve for g.
g + (-5) = 27
answer: g=32 u should simplify
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes?
Answer:
i do not know i will try .
the sum of 8.23, 7.96 and 17.65
Answer:
इएइहेइएबे!!न्बेओएहेजेने
Solve for x in the expression:
3 + 2x + 5 =0
Answer:
x= -4
Step-by-step explanation:
3 + 2x + 5 = 0
8 + 2x = 0
2x = -8
2x/2 = -8/2
x= -4
Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd
dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.25. Let x be the number of trustworthy FBI agents tested until someone fails the test. (Round your answers to four decimal places.)(a) Describe the probability distribution of x.
normalgeometric binomial(b) What is the probability that the first false-positive will occur when the third person is tested?(c) What is the probability that fewer than four are tested before the first false-positive occurs?(d) What is the probability that more than three agents are tested before the first false-positive occurs?
Answer:
???
Step-by-step explanation:
2. An inaccurate clock loses
3 1/2
minutes every 8 hours. How much time will the clock lose in one
week?
Answer: 588 min
24x7 x3.5
What is the slope of a line parallel to the line whose equation is x+2y=10.fully reduce your answer
Answer:
slope: 0.5x
Step-by-step explanation:
1. -x +10
2. -1/ 2 = -0.5
3. 10/2 = 5
4. y = 0.5x + 5
Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 6 years?
Answer:
1260
Step-by-step explanation:
I'm not 100% sure this is correct
Answer:
$1,260
Step-by-step explanation:
I = Prt
I = 3,000 (0.07) (6)
I = 3,000 (0.42)
I = 1,260
Joe paid $1,260 in 6 years.
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
2. An inaccurate clock loses
3.
minutes every 8 hours. How much time will the clock lose in one
week?
simplify this complex fraction 4/3/2/5
Answer:
If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3
Step-by-step explanation:
What were the coordinates of point B after being translated 4 units left
Answer: B' (x-4,y)
Step-by-step explanation: A figure which is moved from one location to antoher, without changing its size, shape or orientation, is a figure that went through translation.
So, when a point is translated, it means it changed its position.
Point B has x- and y-coordinates: B(x,y)
Point B' after being translated 4 units left means:
(x,y) → (x-4,y)
In other words, translated point B has coordinates
B(x-4, y)
Because moving left is saying the point is moving towards the negative "side" of the x-axis.
Answer Choices:
A) (-6, -1)
B) (6, -1)
C) (-6, 1)
Which graph shows a proportional relationship between the number of hours of renting a canoe and the total amount spent to rent the canoe?
Answer:
Uh pick a graph that is straight line and passes through 0
Step-by-step explanation:
You don't have screenshot
Answer:
This would be simaler to the answer
Step-by-step explanation:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
Which of the following ratios is not equivalent to 2:10
A.1/5
B.2/5
C.4/20
D.6/30
Answer:
D because 6/30 is not the same as 2:10
Answer:
2/5 is not equibalent to 2:10
Step-by-step explanation:
2:10
1/5 × 2 = 2/10
2/5 × 2 = 4/10
4/20÷2 = 2/10
6/30÷3 = 2/10
Help please? Write the equation for the Red line.
BLANK% of 50 shirts is 2 shirts.
Answer:
4%
Step-by-step explanation:
2/50 is 4....I believe.
What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0
Answer:
X=4,4
Step-by-step explanation:
2 x^2 – 16 x + 32 = 0
2(x^2-8x+16)=0
X^2-(4+4)X+16=0
x^2-4x-4x+16=0
x(x-4)-4(x-4)=0
(x-4)(x-4)=0
X=4,4
So the solution is X=4,4
How many decimals are between the number zero and -1
Answer:
an infinite amount
Step-by-step explanation:
Think about it this way:
A decimal between 0 and -1 is -0.1, right?
But so is -0.11...
...And -0.111, and -0.1111, and so on.
Since you can add any amount of decimal places, the number of potential decimal numbers between 0 and -1 must be infinite.
HTH :)
12cm and 9cm respectively, find its length. (एउटा कोठाको चार भित्ताको क्षेत्रफल 420 वर्ग
The area of four walls of a room is 420 sq. cm. If the length and breadth of the room are
area of four walls of the room? (परिमिती 32 साम
कोठाको चार भित्ताको क्षेत्रफल कति होला?)
सेमि छ । यदि उक्त कोठाको लम्बाई र चौडाई क्रमशः 12cm र 9 cm भए उचाई पत्ता
लगाउनुहोस ।
Given Length of Cuboid = 12cm
Given Breadth of Cuboid = 9cm
Given height of Cuboid = 8cm
Total Surface area of cuboid = 2(lb + bh + hl)
where, l stands for legth of the cuboid, b stands for breadth of the cuboid and h stands for height of the cuboid.
Put the given values of l,b and h in the formula
=> Total surface area of cuboid = 2((12×9)+(9×8)+(8×12))
=> 2(108 + 72 + 96)
=> 2(180 + 96)
=> 2 × 276
=> 552 sq. cm is the total surface area of cuboid
Help Number three please!!!
Step-by-step explanation:
108-ambulance
100- police
1098-child laber
A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the water and the container, W, in pounds and the amount of water, A, in gallons?
Answer: W= 8.34A
Step-by-step explanation:
Given: Weight of a gallon of water = 8.34 pounds
Then, weight of the water in container = (Weight of a gallon of water ) x (amount of water)
If A = amount of water (in gallons)
W = weight of the water in container ( in pounds)
i.e. [tex]W= 8.34A[/tex]
Hence, the required equation : W= 8.34A
Will you always be able to use rigid transformations to verify that two shapes are congruent or not congruent? If yes, why is that the case? If not, why not? ( plz answer its a big grade plzzz thx you to whoever helps)
Answer:
Yes
Step-by-step explanation:
Un banco de México es comprado por otra institución de origen español. El nuevo director, decide fusionar la operación entre ambas instituciones donde se aprovisionen servicios de internet desde España a México. Para lograr lo anterior, ¿qué debe plantear el director como proyecto para unir ambas operaciones?
Question:
A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?
My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.
Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.
If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.
True or False ?
Answer:
True ; it is true
Step-by-step explanation:
The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.
What is variation?Variation describes a simple relationship between two variables.
Therefore, y varies jointly as x and z and inversely as the square of w
y ∝ xz ∝ 1 / w²
Therefore,
y = kxz / w²
where
k = constant of proportionality
Hence,
y = 3
x = 3
z = 10
w = 2
yw² / xz = k
k = 3 × 2² / 3 × 10
k = 12 / 30
k = 6 / 15 = 2 / 5
Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.
k = 4 × 4² / 4 × 20
k = 64 / 80
k = 16 / 20 = 4 / 5
learn more on variation here: https://brainly.com/question/17068737
#SPJ2
Answer This math question and ill give brainliest
Answer:
16 miles
Step-by-step explanation:
there are 8 units between the points each unit is 2 miles so 8*2= 16
Which equation correctly shows the relationship between the numbers 6,560 and 656?
Answer:
656×1000
Step-by-step explanation: