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]
A similar problem is given at https://brainly.com/question/15583760
please help me with this sum
Answer:
Step-by-step explanation:
n;
Convection; Radiation; Insulation.
PLTS/Gatsby:
Effective participants;
Independent Enquirers.
Compare group 1, 7 and 8 elements.
The BIG question
is… What is the trend in reactivity in the alkali metals, halogens and noble gases
sSHUTSHHHHHHHHHHHHHHUTUPPPPPPPPPPPPP
Answer:
153, 155, 93, 31, 78, 125, 150, 87, 157, 118, 67
Find the volume of this
prism.
Answer:
Volume of the prism =area of base*height
=[3*3+3*6]*9
=243 cm³
Alternate
Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³
A high-end interior designer charges an hourly rate for his services plus a consultation fee. As a courtesy to his clients, after working on a job for over 20 hours, his hourly rate drops and the consultation fee is waived. The fees for the interior designer's services can be modeled with the following piecewise equation, where x represents the number of hours. f(x)={150x+300, x≤20100x, x>20 How much would it cost for 18 hours of interior design services? Enter your answer in the box. $
Answer:
3000
Step-by-step explanation:
Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?
Answer:
from the little i can see, they are all correct
Polynomials
Multiply ( 4x2 – 3)(x + 8)
Answer:
(4*2-3)(x+8)
(8-3)(x+8)
8(x+8)-3(x+8)
8x+64-3x-24
8x-3x+64-24
5x+40
EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!
Answer:
The choice b.
[tex] \sin \: A = \frac{4}{5} [/tex]
Step-by-step explanation:
sinA = opposite/hypotenuse
[tex]sinA = \frac{28}{35} = \frac{4}{5} [/tex]
Select the correct answer from each drop-down menu. Four water tanks can hold a total of 4324 gallions of water. On average, how much water can one tark hold How much water is in a tanks half full gallons of water One tank can hold an average of gallons of water. A half-fulltank will hold
Answer:
If you divide 4324 by 4 you get 1081 so one can hold that much and if it is half you divide 1081 by 2 and you get 540.5
Hope this helps!
Which two numbers on the number line have an absolute value of 1.25?
Select the location of both numbers on the number line.
Answer:
-1.25
Step-by-step explanation:
10% of what is 80,000?
Answer:
let the no be x ..then,
10% of x =80,000
10x=80,000*100
x=80,00,000/10
x=8,00,000
hence 10%of 8,00,000 is 80,000
You paint 1/3 of a wall in 1/4 of an hour. At that rate, how long will it take you to paint one wall?
Answer:
45 minutes
Step-by-step explanation:
1/4 of an hour is equal to 15 minutes
15 * 3 = 45
The answer is 45 minutes
It takes you 45 minutes to paint one wall.
kids is that 500 5902.3 is equal to 519 when rounding off to the nearest ten she drop 2 to because it is less than 5 do you agree with answer explain your answer
Answer:
5192.3 rounded off to nearest ten
Step-by-step explanation:
We get the number:
51903 dropped as a decimal fraction smaller than 12 dropped and replaced with zero as we round of to tenkids missed to replace 2 with zero and lost unit digits by doing thatTELL ME IF IM CORRECT
Dilate Triangle ABC so it's scale factor is 3 and the center of dilation is the origin.
A(1,1)
B(3,1)
C(2,3)
Step-by-step explanation:
Dilation :
the scale factor is 3 and the center of dilation is the origin.
A(1,1) => A'(3, 3)
B(3,1) => B'(9, 3)
C(2,3) => C'(6,9)
The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
What is a transformation?On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.
As per the given question,
We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.
A(1,1) → A'(3, 3)
B(3,1)→ B'(9, 3)
C(2,3) → C'(6,9)
Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
To learn more about the transformations click here :
https://brainly.com/question/28029674
#SPJ2
plz i need help walk me through it, thanks
Answer:
[tex]p=36^{\circ}[/tex]
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is [tex]90^{\circ}[/tex].
Because all the angles of a triangle sum to [tex]180^{\circ}[/tex], we have that [tex]p+54+90=180[/tex].
We combine like terms on the left side to get [tex]p+144=180[/tex].
We subtract [tex]144[/tex] on both sides to get [tex]p=36[/tex].
So, [tex]\boxed{p=36^{\circ}}[/tex] and we're done!
I need help . Thanks
Answer:
ok wait babalik ako kunin love lang
Ali bought 2kg of potato and 3kg of onion. The price of the onion is 50 cents less
than potato. He paid $10 to the cashier and get back $1.50. What is the price for 1kg
of onion ?
Answer:
1kg of onion is $1.5
Step-by-step explanation:
He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:
10 - 1.5 = $8.50
Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):
x -0.5 = y
x - y = 0.5 ---- Eq 1
Equating the total costs:
2x + 3y = 8.5 ---- Eq 2
Multiplying Eq 1 by 2:
2x - 2y = 1 ---- Eq 1'
Subtracting Eq 2 from Eq 1':
2x - 2x +3y - (-2y) = 8.5 - 1
5y = 7.5
y = 1.5
Substituting this into the first equation:
x - 1.5 = 0.5
x = 2
Hence,
the cost of the Potato is $2, and
the cost of the Onion per kg is $1.5
Hope this helps, and have a wonderful time ahead on Brainly!
The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.
Answer:
1.75 * 6 = 10.5 - 8 = 2.5 / 1.75 = 1.43 * 5.5 = about 5hrs and 30mins
Step-by-step explanation:
Equivalent fractions
Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.
Step-by-step explanation: Hope this help. hit me up if u need some more help
Answer:
1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48
2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24
3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12
4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36
5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27
Step-by-step explanation:
The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.
For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.
Hopes this helps you!
Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1
Answer:
x= -1, y = 6, z = 3
Step-by-step explanation:
let me solve it with Gaussian Elimination
What is the range of the function y=7^(x+4)-4? *
Answer:
The graph on the y-axis. All real numbers ( any negative number and any positive number)
Step-by-step explanation:
help for brainliest please
Answer:
2nd option: P'Q'=16.8 mm
Step-by-step explanation:
Translating vertically just means the graph shifted up or down in the direction of y axis, it will not change the shape or size of the original graph.
Evaluate.
8(19−6⋅2)
Enter your answer in the box.
Answer:
102.4
Step-by-step explanation:
Open the bracket
19-6.2=12.8
8(12.8)
8*12.8=102.4
Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. Complete the table
Answer:
lu have to ask mss v for the question
5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6
Step-by-step explanation:
Hope it helps pls mark brainliest if you would
12) Armani gets paid $9 an hour to paint. If he works for
5 12 hours, how much money will he make?
Answer:
multiply 9*512= 4,608
Step-by-step explanation:
Jean is planning to take a foreign language class. To research how satisfied other students are with their foreign language classes, she decides to take a sample of 50 such students. The university offers classes in five languages: Spanish, German, Russian, French, and Japanese. She will select a random sample of 10 students from each language class. Which term best describes the sampling technique Jean is using
Answer:
probability I think if I am ✅ can I get brainliyist
In the function. Y+3=(2x)^2+1 what effect does the number 2 have on the graph as compared to the graph y=x^2
A.it stretches the graph vertically by a factor of 2
B. It stretches the graph horizontally by a factor of 2
C. It shrinks the graph vertically to 1/2 the original height
D. It shrinks the graph horizontally to 1/2 the original width
Answer:
C
Step-by-step explanation:
Find the x- and y-intercepts of the graph of the function f(x)=−4|x+5|+8 .
Answer:
x-intercept(s): (−3,0),(−7,0)
y-intercept(s): (0,−12)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute i 0 for x and solve for y.
One number is seven less than six times another number. If the sum of the numbers is 56, find the numbers.
Answer:
The answer is 2
Step-by-step explanation:
You need to find out what is 56 divided by 6 which is 9. Then subtract, 9-7 which equals 2. So the answer is 2.
what is the answer to 2/5+5/10=
Answer:
[tex]\frac{2}{5\\}[/tex] + [tex]\frac{5}{10}[/tex]= [tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Because this is not multiplication or diving you must find the same denominator, which is 10. Now, because 5/10 is already 10 I don't need to change that, but if you see that 2/5 does not have the denominator of 10. Then, I need to multiply 2 on the numerator and the denominator because 5(2) equals 10 and whatever is multiplied to the denominator has to be multiplied to the numerator. So. now the numerator is 4. Lastly, what you need to do is add them together. So, (2+5)=7 and the denominator is stays as 10 because it is addition. So, our final answer is 9/10
[ Hope that helped :) ]