Answer:
27 inches from each side to be centered
Step-by-step explanation:
HELP 100 POINTS ANSWER IT PLEASE
Answer:
[tex]\boxed{\text{\large $ y=96.1\sqrt{x} $}}[/tex]
Step-by-step explanation:
Using a graphing calculator, plot (x,y) points
x = no. of jobsy = no. of workers neededand plot the functions from the options to know which function fits the data
Answer:
Step-by-step explanation:
Using a graphing calculator, plot (x,y) points
x = no. of jobs
y = no. of workers needed
and plot the functions from the options to know which function fits the data
8a. Use the expression 28b - 4c. Part A: Factor the expression using the GCF. *
then answer
8b. Use the expression 28b - 4c. Part B: What is the value of the expression when b = -4 and c = 1? Show your work or explain. *
What is the area of a parallelogram with a height of 8 feet and a base of 12.5 feet?
41 ft 2
96.5 ft 2
50 ft 2
100 ft 2
Answer:
Option D- 100 ft 2
Step-by-step explanation:
Area = h x b
= 12.5 x 8 = 100 ft 2
I hope im right!!!
The mean diameter of the rim of Honda tires is 16 inches. Assume that the standard deviation of diameter of the rims is 0.3 inches. For quality control purposes, the diameter of the rims of 9 tires is measured every hour. The manager applies the rule that if the mean of diameter of a rim is greater or equal to 16.25, and lesser or equal to 15.75, the manufacturing should be stopped. If the diameter is between 15.75 and 16.25, the manufacturing process is not to be disturbed. a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches. b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches. c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Answer:
a. 0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.
b. 0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
c. 0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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.
Central Limit Theorem
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].
Assume that the standard deviation of diameter of the rims is 0.3 inches. Samples of 9.
This means that [tex]\sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1[/tex]
a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches.
Here we have [tex]\mu = 16[/tex]
Higher than 16.25:
This is 1 subtracted by the pvalue of Z when X = 16.25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16}{0.1}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Lower than 15.75:
This is the pvalue of Z when X = 15.75. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16}{0.1}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
Probability of stopping:
2*0.0062 = 0.0124
0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.
b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
Here we have [tex]\mu = 16.05[/tex]
Higher than 16.25:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16.05}{0.1}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
Lower than 15.75:
This is the pvalue of Z when X = 15.75. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16.05}{0.1}[/tex]
[tex]Z = -3[/tex]
[tex]Z = -3[/tex] has a pvalue of 0.0013
Probability of stopping:
0.0228 + 0.0013 = 0.0241
0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Between 16.25 and 15.75 with [tex]\mu = 16.25[/tex]. This is the pvalue of Z when X = 16.25 subtracted by the pvalue of Z when X = 15.75.
X = 16.25
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16.25}{0.1}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 15.75
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16.25}{0.1}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a pvalue of 0
0.5 - 0 = 0.5
0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Use the information given to answer the question.
Consider the number set.
16, 17, 18, 19
Part A
Which value of j in the number set makes the equation 8(i+1) - 2 = 142 true?
O 16
O 17
O 18
O 19
What is 2/3 divided by 1/6 ( show your work )
Answer:
4
Step-by-step explanation:
2/3÷1/6
Flip the 1/6 to make it a reciprocal and then multiply
2/3•6/1
simplify by crossing out
2•2 =4
PLZ HELP ME FAST !!!
Answer:
$50
Step-by-step explanation:
Answer:
I know that someone else already answered and got brainliest but I just thought to give some steps to solving because you never know who needs it ;)
The answer is 50 as the person who answered above me said.
Step-by-step explanation:
Now, to get to solving.
20% is equal to 10 dollars.To find out the total you need to reach 100% 5 multiplied by 20 is 100 10 multiplied by 5 is 50 therefore the bill was 50.I hope this will be helpful to somebody and feel free to comment, ask questions, give feedback, and correct my steps if they are not correct!
Have a great day! :)
a stadium with 80 rows has 20 seats in the first rows,30 in the second,and so on.how many total seats are in the stadium
can someone help me?
Answer:
21
Step-by-step explanation:
need help with this triangle problem
Its an acute triangle by angles.
Its a NONE by sides.
Approximately how many cars are expected to be parked in the lot at 4:00 p.m.?
OA
200 cars
OB.
130 cars
Ос.
75 cars
OD.
15 cars
==============================================================
Explanation:
4:00 p.m. corresponds to x = 16, since 12+4 = 16
You can think of 4:00 p.m. representing 1600 hours in terms of military time.
Locate 16 on the x axis. Draw a vertical line until this vertical line crosses the blue parabola. Check out the diagram below.
From this point of intersection, draw a horizontal line until you move to the y axis. You should be somewhere between y = 60 and y = 90.
A good guess could be 75 since it is the midpoint of 60 and 90. Algebraically we confirm it as such: (60+90)/2 = 150/2 = 75
To be fair, we may not hit the exact middle and may be at y = 70 instead of y = 75. But I think the midpoint is a good estimate considering we don't have all the information.
Luckily 75 is on the list of choices, and the other choices aren't even close. So choice C is likely the answer.
Kristin wants to buy a pair of jeans that cost $35 and are on sale
20% off. She is also buying two T-shirts at a full price of $9.99 each.
She must pay 6.5% sales tax. How much will she pay for the clothes
Answer:
$51.10
Step-by-step explanation:
First, find 20% of $35, then add the sale price of the jeans and the two t-shirts. Take the total and find the sales tax and add that onto the cost.
100 - 20 = 80 If you multiply the jeans by 80% it gives you the price for the jeans saving you from having to subtract the discount from the original price.
35 * 0.80 = $28.00 jeans 28.00 47.98
9.99 + 3.12
+ 9.99 $51.10
47.98
X 0.065
$3.12
60% of a number is 54. what is 50% of the same ?
Answer:
The answer is 45.
Step-by-step explanation:
60% of a number is 54, find the original number
54 ÷ 60%
= 54 ÷ 60/100
= 54 * 100/60
= 90
50% of 90 is
90 * 50%
= 90 * 50/100
= 90 * 1/2
= 45
Decrease $180.28 by 15%
Answer:
$153.24
Step-by-step explanation:
:/
the area of a square plot is 1600m². the side of the plot is
Answer:
2800m2
12345667888888
Answer:
400m squared
Step-by-step explanation:
so a square has 4 EVEN sides.. 16 divide 4 is 4 just add the zeros..
There are half as many pears as grapes. There are fifteen pears.
Answer:
30 grapes, because there are half as many meaning grapes have twice the amount of the pears present
Solve for r. Show your work!
12 =R– (34 – 2)
Helpppp!!
Answer:
r = 44
Step-by-step explanation:
12 = r - (34 - 2)
Solve for r
___________
To solve, we need to isolate r.
Distribute the negative sign with the numbers within the parenthesis :
12 = r - 34 + 2
Add like terms :
12 = r - 32
Add 32 to both sides :
44 = r
r = 44
Answer:
we are just going to start by using pemdas and making it easier to solve
Step-by-step explanation:
12=R-(34-2)
12= R-32
add 32 to both sides
32+12=R
so R=44
Hope this helps :)
what is the largest value you can find in the interval (-5,-1)
(-5,-1) is aka -5<x<-1
This means -2 is the largest value you can find.
Perhaps that is if you are on a line graph, or if you are putting this on a line graph put an open circle (○) on -1 and -5 and draw a line in between the numbers. That's also if you are talking about real numbers and not integers this question is a bit too broad for me to actually figure out the true answer.
Use a ratio box to solve this problem. There was a total of
520 dimes and quarters in the soda machine. If the ratio of
dimes to quarters was 5 to 8, how many dimes were there?
Answer:
Dimes: 200
Quarters: 320
Step-by-step explanation:
Construct a table as follows
Item Dimes Quarters Total
Ratio 5 8 13
Actual d q 520
Note that any two ratios of corresponding quantities are the same.
(d/5)=(520/13)=40
d=200
(q/8)=(520/13)=40
q=320
This question is kind of confusing to me. Can I get some help?
Answer:
b. [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The scale factor is the number by which one must multiply all sides in a triangle such that its sides are the same as another triangle. This only works in similar triangles (triangles where all of the angles between them are congruent or have the same measures).
Classify the triangle by its angles and sides.
A acute scalene
B obtuse isosceles
C right scalene
D right isosceles
Answer:
C
Step-by-step explanation:
This triangle has a right angle so it is right.
It also has three different sides so it is scalene.
C is the answer
Translate into an expression:
two more than three times
Answer:
85478
Step-by-step explanation:
In the division problem, what does the 8 represent in the quotient 3653÷13=281
A.8 thirteens
B.18 thirteens
C.80 thirteens
D.13 eights
HELP ASAP! I’m very confused and need help! Thank you!
Sydney needs $450 to buy a TV for her room.she already saved $50. She earns $20 an hour at her job.set up and solve an equation to find how many hours she needs to work to buy the TV.
R.2.95
Let x = -4 and y= 2. Evaluate the expression.
4|y| -4x
xy|
4171-4x|
If x= - 4 and y= 2, then
|xy|
---
Answer:
-24 and 8
8 and -8
Step-by-step explanation:
Let x = -4 and y= 2. Evaluate the expression.
1) 4|y| -4x
Note that |y| acan be +y or -y
4|y| -4x
= 4y - 4x
= 4(-4)-4(2)
= -16 - 8
= -24
If |y| is -y we have
4(-y) -4x
= -4y-4x
= -4(-4)-4(2)
= 4|y| -4x16 - 8
= 8
For the expression
|xy|
= xy
= -4(2)
= -8
If |xy| ix negative
= -(xy)
= -(-4*2)
= -(-8)
= 8
Hence the value is 8 and -8
a weightlifter in florida says that he can bench 300 pounds (which means he can lift 300 pounds) The weightlifter weighs x pounds. Write an equation that can be used to find t , the total weight of both the weightlifter and his weights in pounds.
Answer:
no
Step-by-step explanation:
he cant lift he's too weak
need help for Geometry
△CBE ≅△CDE
Congruent statements for corresponding sides :Side BC is congruent to side CD Side EB is congruent to side EDCongruent statements for corresponding angles :angle ECB is congruent to angle ECDangle BEC is congruent to angle DEC7/9 z - 18 + 1/3z if z = 27
Answer:
12
Step-by-step explanation:
7/9 x 27 - 18 + 1/3 x 27
Express 7/9 ×27 as a single fraction.
7 x 27 / 9 - 18 + 1/3 x 27
Multiply 7 and 27 to get 189.
189/9 - 18 + 1/3 x 27
Divide 189 by 9 to get 21.
21 - 18 + 1/3 x 27
Subtract 18 from 21 to get 3.
3 + 1/3 x 27
Multiply 1/3 and 27 to get 27/3.
3 + 27/3
Divide 27 by 3 to get 9.
3+9
Add 3 and 9 to get 12.
12
a sporting goods manufacturer requires 2/5yd of fabrick to a pair of soccer shorts how many shorts can be made from 4yd of fabric
Answer:
10 pair of soccer shorts.
Step-by-step explanation:
Let the unknown be x.
Translating the word problem into an algebraic equation, we have;
2/5 yard = 1 pair of short
4 yard = x pair of short
Cross-multiplying, we have;
2x/5 = 4
Multiplying both sides by 5, we have;
2x = 20
x = 20/2
x = 10 pair of soccer shorts.