Using z-scores and the normal distribution, it is found that the new value would be of 58.2.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X, which is the area to the left of Z under the normal curve.The area to the right of Z is 1 subtracted by the p-value of Z.In this problem:
Mean of 50 and standard deviation of 5, thus [tex]\mu = 50, \sigma = 5[/tex].Area to the right of 0.05, thus Z with a p-value of 1 - 0.05 = 0.95, thus [tex]Z = 1.645[/tex].We have to find the value of X, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 50}{5}[/tex]
[tex]X - 50 = 1.645(5)[/tex]
[tex]X = 58.2[/tex]
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At a sale this week, a suit is being sold for $357.20. This is a 62% discount from the original price.
What is the original price?
Answer:
$940
Step-by-step explanation:
100%-62%=38%
38%=357.20
1%=357.20÷38=9.40
100%=9.40x100=940
Hope this helps! Thanks.
(9 + r) – (r + 10) please help me simplifying
find the average rate of change of f(x)=5x^2-3 from 3 to 9
9514 1404 393
Answer:
60
Step-by-step explanation:
The average rate of change on the interval is ...
(f(9) -f(3))/(9 -3) = ((5·9² -3) -(5·3² -3))/(9 -3) = (402 -42)/6 = 60
SOMEONE HELP ME AND EXPLAIN HOW ITS THE ANSWER PLZ!!!
Answer:
20 guests
Step-by-step explanation:
20 (20) + 400 = 400 + 400 = 800
10 (20) + 600 = 200 + 600 = 800
answer B = 20 guests
Answer:
For 20 persons the price would be same.
Step-by-step explanation:
y=y
20x+400=10x+600
20x-10x=600-400
10x=200
x=20
Therefore, for 20 persons the price would be same.
Drag the numbers to order them from least to greatest.
0.9
2.4
0.8
1.6
0.2
Answer:
0.2
0.8
0.9
1.6
2.4
Step-by-step explanation:
I hope this helps!
An isosceles triangle has two sides of equal lenght. The length of the third side is 1 ft less than twice the length of one of the equal sides find the length of each side when the perimeter is 23 ft, answer as a comma separated list
Answer: An isosceles triangle has two sides of equal length. The length of one of the equal sides is two more than 3 times the length of the third side. If the perimeter is 46m, find the length of each side.
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
The perimeter is equal to the lengths of all the sides.
Let x equal the two sides that are equal to each other.
Then the 3rd side is 2x - 1 which is 2 times the length of the equal side minus 1.
So the perimeter 23 = x + x + (2x-1)
Now solve for x
23 = x + x + 2x - 1
add 1 to both sides
24 = x + x + 2x
24 = 4x
x = 6
The two equal sides would be 6 feet each
The other side would be 2(6) - 1 = 11
The perimeter is 6 + 6 + 11 = 23
Me.Ramirez divid 12 frogs
Answer: my last names Ramirez!
Step-by-step explanation:
The list shows the thicknesses of several different types of art paper.
Thickness
(cm)
0.004
0.007
0.011
0.011
0.012
0.020
0.200
0.214
What is the range of this set of data?
O A. 0.055
OB. 0.210
OC. 0.214
OD. 0.218
O E. 0.498
Y
Answer:
B. 0.210
Step-by-step explanation:
Range is the minimum value subtracted from the maximum value. In this case 0.004 is the smallest value and 0.214 is the largest.
Range = 0.214 - 0.004 = 0.210 = B
The range set of the given data is 0.21.
The given data sets are,
0.004
0.007
0.011
0.011
0.012
0.020
0.200
0.214
We know that,
In statistics, the range is the difference between the highest and lowest values for a given data collection.
For instance,
if the given data set is 2,5,8,10,3, the range is 10 - 2 = 8.
As a result, the range can also be defined as the difference between the highest and lowest observations.
The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.
Now to find the range set pf the given data,
Subtract minimum value to maximum value
Since maximum value = 0.214
And minimum value = 0.004
Then range set = 0.214 - 0.004
= 0.21
Thus, range of set ⇒ 0.21
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If 5 pieces of steel bar each 6 1/2" long are welded together, how long will the new
bar be?
Simplify, the solve.
Answer:
1/64
Step-by-step explanation:
4x4^3/4^7
4^-3
1/4^3
1/64
Do you think the difference of 1.4-0.95 is less than one or greater than one? Explain.
Answer:
The answer would be , less than one .
The difference of 1.4 - 0.95 is less than one as per the concept of subtraction.
To determine this, we can simply subtract the two values:
1.4 - 0.95 = 0.45
Since the result of the subtraction is 0.45, which is less than one, we can conclude that the difference of 1.4 - 0.95 is indeed less than one.
In numerical terms, the difference is 0.45, which is 45 hundredths or less than half of one whole unit.
When comparing the two original values, 0.95 is almost half of 1.4, making the difference smaller than one.
In summary, the difference of 1.4 - 0.95 is less than one, specifically 0.45. It is essential to pay attention to the decimal values and their magnitudes when determining the difference between two numbers.
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The slope of Consider the line whose equation is 3x + y - 3 = 0. The slope of any line that is parallel to this line is any line that is perpendicular to this line is
Answer:
parallel : y = -3x + 3
perpendicular : y = 1/3x + 3
Step-by-step explanation:
rewrite 3x + y - 3 = 0
y = -3x + 3
parallel has the same slope
so
parallel : y = -3x + 3
perpendicular is negative reciprocal of the slope
so
-3x becomes 1/3x
so
perpendicular : y = 1/3x + 3
the area of 1.25 and 0.8
Answer:
2.05
Step-by-step explanation:
1.25 + 0.8= 2.05 but if your doing multiplication then it would be 1 just 1.
Look at the screen shot teach me how to do this thank you.
Answer:
Slope intercept form (y = mx + b) = [tex]y = \frac{2}{3} x + \frac{7}{3}[/tex]
X intercept (slope): [tex](-\frac{7}{2} , 0)[/tex]
Y Intercept: [tex](0, \frac{7}{3} )[/tex]
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in 0 for x and solve for y.
Hope this helps! :D
Step-by-step explanation:
solve for y
[tex]3y - 7 = 2x[/tex]
isolate the y variable to one side
let's first add 7 to both sides of the equation
[tex]3y - 7 + 7 = 2x + 7[/tex]
sevens on the left side of the equation cancel so we get
[tex]3y = 2x + 7[/tex]
Now let's divide everything in the equation by 3 to further isolate the y variable
[tex] \frac{3y}{3} = \frac{2x}{3} + \frac{7}{3} [/tex]
The threes on the left hand side of the equation cancel
[tex] y = \frac{2}{3}x + \frac{7}{3} [/tex]
Javier reads 40 pages every hour, how many pages does Javier reads in 2.25 hours?
Answer:
Javier reads 90 pages in 2.25 hours.
Step-by-step explanation:
# of pages read every hour: 40 pages.
# of hours in total: 2.25 hours.
Multiply the number of pages he can reads every hour (40 pages) by the number of hours in total.
40 x 2.25 = ?
The Product is your answer;
? = 90
Hope this helps :)
Find the perimeter of the figure below. Notice that one side length is not given.
Step-by-step explanation:
Perimeter of the quadrilateral = sum of the length of all the four sides. Note: Missing side of the quadrilateral = Perimeter of the quadrilateral - Sum of the length of three sides.
i need step by step explaniton. judy has $3,024 dollars in her bank account she is planning to spend this money on buying tickets to disney world for her and 11 of her friends. two of judy's friends decided to help but the tickets and offered her $1,00 each. how munch did each ticket cost. (round the answer to the nearest whole number) this is a long divison problem.
Answer:
uhh judy has $3.024 in her bank acc
She is buying tickets for 11 friends and including herself too that means 12
Two friends decided help to buy the tickets and offered $100 each i.e $200
So I'm guessing that the cost price of one ticket is $100
Now than since 2 people paid their ticket cost than that means only 10 people left
Than for buying tickets for 10 people would cost (10×100=1000)
So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200
Help please don’t know what to do???!
Answer:
81.75
Step-by-step explanation:
First, find the median of all the answers.
78.25, 77.75, and 84 = 80 (median)
now that we know 80 is the median, we will add it to our solution.
And still, there is no OTHER TEST in to make this stay 80.
78.25, 77.75, 84, and 80 = 79.125
since this is incorrect, we go higher.
78.25, 77.75, 84 and 81 = 79.625
since this is also incorrect, we go higher.
78.25, 77.75, 84 and 82 = 80.125
since this is higher and incorrect, we will go lower to 81.5.
78.25, 77.75, 84 and 81.5 = 79.875
since this is lower AND 82 is not the correct solution, we will go up by 0.25.
78.25, 77.75, 84 and 81.75 = 80
To check, we will do the problem again.
78.25, 77.75, 84 and 81.75 = 80
So, the solution is 81.75
2/3 cup water 1/2 cup oil what's the ratio of water to oil?
Answer:
4:3
Step-by-step explanation:
ratio of H20 to Oil = (Amount of H20) / (Amount of Oil) = (2/3 cup)/(1/2 cup) =
(2/3) / (1/2) = (2/3) * (2/1) = 4/3 = 4:3
Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a theorem or postulate.
1. angle 2 is supplementary to angle 3
2. Angle 1 is congruent to angle 3
3. Angle 6 is supplementary to angle 7
Angle 9 is congruent to angle 12
Hey ! Can anyone help me with this question please ? Thank you
Answer:
7
Step-by-step explanation:
4x-13 = x + 8
3x = 21
x = 7
enjoy
X= $25,000
1,500+.2(x-10,000)
Answer:
x-525000+0
Step-by-step explanation:
What is the value of t?
Answer:
32°
Step-by-step explanation:
1) the sum of the angles is 180°. According to this rule the sum can be written:
t+(t+1)+[180-(t+33)]=180;
2) if to solve this equation, then
t=32°
Convert 150 degrees to radians.
Answer:
Option 2
Step-by-step explanation:
Radians = 150 × π/180
=5π/6
Write the equation of the line parallel to the line and passing through the point.
Chapter Reference
d
y=x+5, (8, 1)
Answer:
y = x - 7
Step-by-step explanation:
Parallel lines have the same gradient in this case 1 is the gradient.
Using the point (8,1) we can form our own equation.
1 will be y, 1 will be m, 8 will be x
All we have to do is find C in order to form the equation y=mx+c
1 = 1(8) + c
1 = 8 + c
C = - 7
Therefore;
y = x - 7
[tex]\lim_{x \to \ 7} \frac{2x^2-11x-21}{x^2-9x+14}[/tex]
Answer:
[tex] \frac{17}{5} [/tex]
I hope this helps you...
will mark as brainliest
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.
The height of a building is 1383 feet. How long would it take for an object to fall from the top?
Answer:hope this helps
Step-by-step explanation:
The ratio of pigs to cows on a farm is 4:3.
a) If there are 36 cows, how many pigs are there?
b) If there are 70 pigs and cows all together, how many are cows?
Step-by-step explanation:
#ap : c
4 : 3 = x : 36
3x = 4 × 36
3x = 144
x = 48
#bp + c = 70
c = 3/7 × 70
c = 3 × 10
c = 30
Help please? I’m not too sure what to do?
A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?
Answer:
75
Step-by-step explanation:
Average needed to get grade C = 70
Average = Total Amount / No of Items.
No of items = 4
therefore Total needed = 70 x 4 = 280
current total score = 66.75 + 66 + 72.25 = 205
the fourth test minimum score = 280 - 205 = 75
Answer: i thank it is 75
Step-by-step explanation:
hope i help
