Answer:
1) 0.99348
2) 0.55668
Step-by-step explanation:
Assume that men’s weights are normally distributed with a mean given by = 172lb and a standard deviation given by =29lb. Using the Central Limit Theorem to solve the following exercises
When given a random number of samples, we use the z score formula:
z-score is z = (x-μ)/σ/√n where
x is the raw score
μ is the population mean
σ is the population standard deviation.
(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.
For x > 160 lb
z = 160 - 172/29/√36
z = 160 - 172/29/6
z = -2.48276
Probability value from Z-Table:
P(x<160) = 0.0065185
P(x>160) = 1 - P(x<160) = 0.99348
(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.
For x = 170 lb
z = 170 - 172/29/√81
z = 170 - 172/29/9
z = -0.62069
Probability value from Z-Table:
P(x = 170) = 0.2674
For x = 175 lb
z = 175 - 172/29/√36
z = 175- 172/29/6
z = 0.93103
Probability value from Z-Table:
P(x = 175) = 0.82408
The probability that they have a mean weight between 170lb and 175lb is calculated as:
P(x = 175) - P(x = 170)
0.82408 - 0.2674
= 0.55668
Write an equation in slope intercept form for the line that passes through the points (6,-3)and (0,2)
Answer:
y = [tex]\frac{5}{-6}[/tex]x + 2
Step-by-step explanation:
Given coordinates: (6,-3) (0,2)
y = mx + b
y = mx + 2
[tex]\frac{2+3}{0-6}[/tex] = [tex]\frac{5}{-6}[/tex]
y = [tex]\frac{5}{-6}[/tex]x + 2
if a bus with an average speed of 45 km per hour takes 10 hrs to travel from a place to other in how many hour the bus can travel from one place to other if speed is increased by 5 km per hour
Answer:
9 Hours
Step-by-step explanation:
If it is increased by 5 km that would make it 50. But, let's go back to the 45 to find out how many km we are traveling. If we are doing 45 km per hour then you just multiply the 10 by 45 and get 450 km. Now that we have that, if the new speed is 50 km per hour, all we need to do is 450 divided by 50, which will get you 9.
human activities have drastic effects on biomes match the human activities with the biomes they primarily
What is the expression of 5 times the difference between 19 and 13
Answer:
5 x 6
Step-by-step explanation:
Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aaron owe in total at the end of the year?
Answer: 448 dollars
=============================================
Work Shown:
P = 400 is the balance
r = 0.12 is the decimal form of the interest rate
t = 1 is the number of years
Use those values to get the simple interest to be
i = P*r*t
i = 400*0.12*1
i = 48
The amount of interest charged is $48
Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.
k/2 + 9 = 37
too lazy to do this work. lol
Answer:
K = 56
Step-by-step explanation:
Subtract 9
k/2 = 28
multiply by 2
k = 56
which list orders the numbers from least to greatest
Answer:
-5, -2, 1, 3
Step-by-step explanation:
mark the points on the number line and go from left to right. The points on the left are always less than the right
Answer:
the person above me is right mark me brainiest for being right
Step-by-step explanation:
I GIVE BRANLILSET
Maddie prepared 24 kilograms of dough after working 6 hours. How many hours did Maddie work if she prepared 40 kilograms of dough? Assume the relationship is directly proportional.
Answer:
10 hours
Step-by-step explanation:
24kg dough/6 hours = 4kg dough/hour
4kg dough / 1 hour
*10 *10 (multiply both sides by 10)
---------------------------
40kg dough/10hrs
Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs $ 99 buy 2 wreaths and 1 tree . How much does each wreath cost? How much does each tree cost?
Answer:
[tex]W = 16[/tex]
[tex]T = 67[/tex]
Step-by-step explanation:
Represent trees with T and wreaths with W
Given
[tex]T = 3 + 4 * W[/tex]
[tex]2 * W + T = 99[/tex]
Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation
[tex]2*W + 3 + 4 * W = 99[/tex]
[tex]2W + 3 + 4 W = 99[/tex]
Collect Like Terms
[tex]2W + 4 W = 99 - 3[/tex]
[tex]6W = 96[/tex]
Divide through by 6
[tex]W =\frac{96}{6}[/tex]
[tex]W = 16[/tex]
Hence, each wreath costs $16
Solving (b): Cost of T
[tex]T = 3 + 4 * W[/tex]
Substitute 16 for W
[tex]T = 3 + 4 * 16[/tex]
[tex]T = 3 + 64[/tex]
[tex]T = 67[/tex]
Hence, each tree costs $67
Amanda has four plastic shapes, a circle, a square, a triangle, and a pentagon, In how many ways can she lineup the four shapes if the circle cannot be next to the square
Do NOT have an explanation that isn't just writing all the combinations of shapes.
====================================================
Explanation:
Let's say we have the following code names for each shape
C = circleS = squareT = triangleP = pentagonWe have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions
Some permutations have C and S together, while others do not.
Example of them together: CSTP
Example of them separated: CTSP
--------------------------
Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.
Let's call this new shape "polygon" and define it as
L = polygon
The codename L is just a placeholder for CS or SC.
So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}
No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.
--------------------------
There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.
So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.
Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.
Assume that you have a choice between a manufacturing job and a sales job. The annual earnings from the manufacturing job will have a normal distribution with a mean of $40 000 and a standard deviation of $9 000. The annual earnings from the sales job will have a normal distribution with a mean of $35 000 and a standard deviation of $9 000. What is the probability that you would earn more than $45 000 per year if you select one or the other
Answer:
0.42124
Step-by-step explanation:
Manufacturing job :
Mean (m) = 40,000
Standard deviation (s) = 9000
Sales job :
Mean (m) = 35000
Standard deviation (s) = 9000
Probability of earning more than 45000 if one or the other job is selected;
Obtaining the standardized scores and probability for each :
Z = (x - m) / s
P(x > 45000)
Z = (45000 - 40000) / 9000 = 0.5555
= 0.56
P(Z > 0.56) = 0.28774(Z probability calculator)
For sales :
P(x > 45000)
Z = (45000 - 35000) / 9000 = 1.1111111
= 1.11
P(Z > 1.11) = 0.1335 (Z probability calculator)
0.28774 + 0.1335 = 0.42124
One card is drawn from a deck of 13 cards numbered 1 through 13. Find the following probabilities. (Enter your probabilities as fractions.)
Find the probability that the card is even or divisible by 3.
Answer:
the probability is 6/13
help !! ill give 10 point for answer !!
What is the value of y in the solution of the system?
x + y = 3
y = -6x + 3
Step-by-step explanation:
x + y = 3 ------------ eqn 1
y = -6x + 3 ---------- eqn 2
Substitute -6x + 3 for y in equation 1
x - 6x + 3 = 3
Evaluating we have,
-5x = 3 - 3
Evaluating further,
x = 0
Substitute 0 for x in equation 1
0 + y =3
Make y subject of formula
y = 3 - 0
y = 3
Hope this helped!
Find the area of the triangle.
PLEASE HELP ASPA
Answer:
(B). 12.9 cm²
Step-by-step explanation:
a = 8 cm , b = 5 cm , c ≈ 12.259 cm
P = 25.259 , s = P/2 ≈ 12.63
[tex]A_{ABC}[/tex] ≈ 12.856 ≈ 12.9 cm²
9 lb 4 oz - 2 lb 12 oz with regrouping
Answer:
6 LB 12 OZ
Step-by-step explanation:
16 OZ in a LB
9 LB - 2 LB = 7 LB
4 OZ - 12 OZ difference of 8 OZ
4 - 4 = 0 then 16 OZ in a LB
4 remaining - 16 = 12 dropping the 7 LB to 6 LB
Answer:
6lb 8oz
Step-by-step explanation:
9lb 4oz
+16
8lb 20 oz
-2 lb 12oz =
help me pleaseeeeee!!!!!
Answer:
61
Step-by-step explanation:
3x + 28
5x + 52
+ 2x - 10
10x + 70 = 180º
x = 11
3(11) + 28 = 61º
Which inequality represents this sentence?
Six plus two is less than nine plus three.
9+3 9+3
Answer: it doesn’t make sense why you have random numbers underneath that inequality sentence. But if anything it would look like 6+2 < 9+3
Step-by-step explanation:
This < equals less than, or more than depending on what number it’s facing. Think of it as an alligator that eating the specific number (or larger number bc its hungry) so whatever the open side is facing is a more than but the number the closed side is facing is less than.
Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25. He bought 3 times as many hotdogs as drinks. Graphically solve a system of equations in order to determine the number of hotdogs, x,x, and the number of drinks, y,y, that Kevin bought.
Answer:
6 hot dogs, 2 drinks
Step-by-step explanation:
let y = number of hot dogs
let x = number of drinks
system:
y = 3x
4.5y + 2.25x = 31.50 (standard form: y = -1/2x + 7)
if you graph the system, lines intersect at (2, 6)
Answer:
y=1/3 x
y=-2x+14
(6,2)
6 hotdogs and 2 drinks
Step-by-step explanation:
:)
What is the value of 3x^2+4x+12 when x=-2
Answer:
16
Step-by-step explanation:
3 x -2^2 + 4 x -2 + 12
first do exponents -2 x -2 = 4
3 x 4 + 4 x -2 + 12
Next do multiplication or division from left to right
12 - 8 + 12
now do subtraction or addition from left to right
4 + 12
16
I need help with algebra 2
Answer:
Lucky you I am taking Algebra 2 right now. Whats ur question??
Step-by-step explanation:
Write the equation, show all your work, and circle your answer. ** The
square and the equilateral triangle at the bottom have the same
perimeter. Find the length of the sides of the triangle.
X + 5
3x
Please help it’s due Jan 8, 2021
Answer:
The length of the triangle is 3x given
The no of sides is 3x 3x 3x so 3x+3x+3x= 180
9x=180 x= 20
3x =3*20=60
3x=3*20=60
3x=3*20=60
What is 1.2 + 6.07 =?
Answer:
7.9
Step-by-step explanation:
What is the space between two rays with the same endpoint?
angle
ray
O endpoint
O length
Answer:
Angle
Step-by-step explanation:
Ray is also known as the line. Endpoint is where the ray stops. Length is how long the ray is. Angle is the space inbetween the two lines!
pls help asap i will give brainliest 16 POINTS!!!!
madison's family drove to her grandmothers' house. they drove 58.6 miles in the first hour, 67.2 miles in the second hour, and 60.5 miles in the third hour they followed the same routine to return home. about how much far did madison's family travel?
Answer:
add the 3 distances
Step-by-step explanation:
58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3
Consider function f.
f(x) = square root of 7x – 21
Place the steps for finding f-1(x) in the correct order.
Answer:
f⁻¹(x) = 1/7x² + 3Step-by-step explanation:
Givenf(x) = [tex]\sqrt{7x-21}[/tex]To find Inverse of f(x)SolutionChange f(x) → x, and x → y, and solve for y:
x = [tex]\sqrt{7y -21}[/tex]x² = 7y - 217y = x² + 21y = 1/7x² + 3y = f⁻¹(x)
f⁻¹(x) = 1/7x² + 3HELP PLS ASAP!! ILL GIVE 10 BRAINLEST THINGYS !!!
Explain how to find the slope of the function without using technology.
2x + 3y = 12
Answer: The slope is −2/3
Step-by-step explanation:
2 x + 3 y = 12 is the standard form for a linear equation. To determine the slope, solve the equation for y in order to convert to the slope-intercept form y = m x + b , where m is the slope and b is the y-intercept.
2 x + 3 y = 12
Subtract 2 x from both sides.
3 y = − 2 x + 12
Divide both sides by
3 . y = − 2 /3 x + 12 /3 =
y = − 2 /3 x + 4
The slope is
− 2 /3
The band director of Eagle Rock High School asks her students to have a carwash as a fundraiser. They are going to charge $7.50 per car. The graph that represents the situation is shown below. Which of the following statements about the graph are true? Select all that apply. o The graph represents a function since every input value corresponds to exactly one output value. o The graph has an x-intercept. o The graph has a y-intercept. o The y-intercept represents the amount of money raised by the carwash. o The amount of money in the band fundraiser account represents the input values. o The number of cars washed relates to the amount of money in the band fundraiser account.
Answer:
The y-intercept represents the amount of money raised by the carwash.
The graph has a y-intercept
Step-by-step explanation:
Most reasonable, and not only that it's true bc it's shown on the graph label. :)
NEED ANSWER ASAP WILL GIVE 20 POINTS ONLY IF CORRECT PLS ANSWER NOW
Which statement is true for the equation 3x − 3x − 2 = −2?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
Answer:
Hey. This equation has infinite many solutions.
3x - 3x - 2 = - 2
3x - 3x = 0
3x = 3x
This equals to each other meaning infinite solutions
Step-by-step explanation:
PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?
Answer:
310
Step-by-step explanation:
65 x 5