Using the normal distribution, it is found that:
a) 0.8599 = 85.99% probability that x is more than 60.
b) 0.1788 = 17.88% probability that x is less than 110.
c) 0.6811 = 68.11% probability that x is between 60 and 110.
d) 0.0643 = 6.43% probability that x is greater than 125.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], 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.In this problem:
The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 60, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 87}{25}[/tex]
[tex]Z = -1.08[/tex]
[tex]Z = -1.08[/tex] has a p-value of 0.1401.
1 - 0.1401 = 0.8599
0.8599 = 85.99% probability that x is more than 60.
Item b:
This probability is the p-value of Z when X = 110, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 87}{25}[/tex]
[tex]Z = 0.92[/tex]
[tex]Z = 0.92[/tex] has a p-value of 0.8212.
1 - 0.8212 = 0.1788.
0.1788 = 17.88% probability that x is less than 110.
Item c:
This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.
From the previous two items, 0.8212 - 0.1401 = 0.6811.
0.6811 = 68.11% probability that x is between 60 and 110.
Item d:
This probability is 1 subtracted by the p-value of Z when X = 125, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{125 - 87}{25}[/tex]
[tex]Z = 1.52[/tex]
[tex]Z = 1.52[/tex] has a p-value of 0.9357.
1 - 0.9357 = 0.0643.
0.0643 = 6.43% probability that x is greater than 125.
A similar problem is given at https://brainly.com/question/24863330
A photographer made a 5-inch by 8-inch print of a photo. He then made a 10-inch by 16-inch print of the same photo.
Which scale factor was used to create the larger photo from the smaller photo?
DO NOW: What is the surface area of the cube? 4 in 4 in 4 in
Answer:
96 in^2.
Step-by-step explanation:
It has 6 surfaces each of area 4*4 = 16
Answer is 6*16 = 96.
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Answer:
welcome❤ though❤ you can be there in the afternoon and you can be there with me
The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40
Answer:
C
Step-by-step explanation:
please help need this done by tomorrow thank you [PHOTO]
A tune-up automotive facility marks up its
parts by 45%. Suppose that the facility
charges its customers $2.03 for each spark
plug it sells. What is the facility's cost for each
spark plug?
Answer: $1.40
Work Shown:
x = cost before markup
1.45x = cost after the 45% markup
1.45x = 2.03
x = (2.03)/(1.45)
x = 1.40
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g of x equals the square root of the quantity 5 x cubed
Answer:
f(g(x)) = 15x3 + 16
Step-by-step explanation:
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cuál de los siguientes documentos es más Útil para construir carretera
State the slope for the equation.
y=5x+8
Enter you answer in the box.
Slope: m=
Answer:
Step-by-step explanation:
The y-intercept of the equation is -8.
You can test this by making X = 0 and solving algebraically. Similarly, if you make y = 0, you can solve the X value. This means X = 8/5
Co-ordinates (8/5, -8)
Need help with number 7 and eight
Answer:
7 is d
Step-by-step explanation:
8 is b. In 7 all the sum of angles will equals 360 degres
What is 4a I will give brainiest to whoever’s is first
Answer:
I guess the equation would be 1s+1w+1j+4c= 6L
Step-by-step explanation:
the question is a bit confusing, but i hope this helped
What is the slope of the line that passes through the points 10, six and nine, five? Write your answer in simplest form
Answer:
y=x-4
Step-by-step explanation:
If you plug in the points into a graph, you can see that the slope is 1.
You can go down one and the left one, eventually you will find the y-intercept at (0,-4)
Given (x – 7)2 = 36, select the values of x.
The values of the variable "x" which satisfy the equation (x – 7)² = 36 are x = 13 and x = 1.
To find the values of x in the expression (x - 7)² = 36, we need to solve for x using the given equation.
We Expand the square of the binomial: (x - 7)² as x² - 14x + 49,
Now, We Set up the equation as : x² - 14x + 49 = 36,
Next, We Subtract 36 from both sides: x² - 14x + 13 = 0,
Factoring the quadratic equation: (x - 13)(x - 1) = 0,
At last, Applying the zero-product property: x - 13 = 0 or x - 1 = 0,
Solving for x, We get : x = 13 or x = 1.
Therefore, The required values of "x" are x = 13 and x = 1.
Learn more about Equation here
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The given question is incomplete, the complete question is
Given the equation (x – 7)² = 36, Find the values of x.
can anyone heelp me pls
Lotion - liquid
Suspension- semisolid
Capsule- Solid
Hope this helps :)
Can someone help me please
Answer:
15) 104 lbs
16) 263 miles
Step-by-step explanation:
15)
4/7 of their weight (182) = the water weight
4/7 × 182 = 104 lbs
16)
3.5 months = 920 miles
1 month = 920 ÷ 3.5
= 262.8571429 ≈ 263 miles
Answer:
15) 104 lb
16) 262 6/7 miles/month
Step-by-step explanation:
15)
4/7 * 182 lb = 4/7 * 182/1 lb = (4 * 182)/(7 * 1) lb = (4 * 7 * 26)/7 lb = 104 lb
Answer: 104 lb
16)
(920 miles)/(3 1/2 months) = (920 miles)/(7/2 months) =
= 920/1 miles * 2/(7 months) = (920 * 2 miles)/(7 months) =
= 1840/7 miles/month = 262 6/7 miles/month
Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub?
Answer:
y+zx=a (see below for variables
Step-by-step explanation:
You haven't attached an image, so I'll I assume you want the equation
y is amount of water, x is time, z is water drained per minute, and a is the original amount o water
y=a-zx
rearranging it for the original amount of water
y+zx=a
Answer:
360 liters
Step-by-step explanation:
The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.
5x -4(x - 3) - 8 = Ax + B
Answer:
12= ax - x + b
Step-by-step explanation:
5x -4(x - 3) - 8 = ax + b
5x -4x + 12 - 8 = ax + b
x + 12 = ax + b
12= ax - x + b
find reason and statements
Answer:
Missing reason/statements:
R1, R2, R3 - GivenS4. ∠1 ≅ ∠3R4. Transitive propertyR5. Definition of congruenceS6. m∠1 = 120°R6. SubstitutionThe diagram below shows a small ant and an ant find the difference in length of the two large ants . Help pls
Answer:
yay
Step-by-step explanation:
A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248
(20 Points) What is the value of x?
The area of a square equals the square of a length of the side of the square. The perimeter equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65 while the difference in their areas is 33. Find the sum of their perimeters.
The sum of the perimeters is [x]
Answer:Each side of x would be 7 and each side of y would be 4.
Step-by-step explanation:
Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.
Answer:
$18.74
Step-by-step explanation:
To find the sale price:
22 * 0.2 = 4.4
22 - 4.4 = 17.6
or, you can just multiply by 0.8, so you wont need to subtract later
22 * 0.8 = 17.6
Then, you need to find the tax amount:
17.6 * 6.5 = 1.144
17.6 + 1.144 = 18.744
Round
18.74
If 200 kids went to the zoo and only 10 came back how many got lost?
Answer:
200- 10 = 190
so, 190 kids came back..
Step-by-step explanation:
brainliest plz
Answer: 190
Step-by-step explanation:
200-10=190 right? brainiest please
Please help me I suck in math
Answer:
B) [tex]-4\sqrt{10}+13[/tex]
Step-by-step explanation:
[tex]\sqrt{100}+4\sqrt{10}+3-8\sqrt{10}[/tex]
[tex]10-4\sqrt{10}+3[/tex]
[tex]13-4\sqrt{10}[/tex]
[tex]-4\sqrt{10}+13[/tex]
The function g(x) is a transformation of the cube root parent function, f(x) = 3vx
What function is g(x)?
Answer:
C. g(x)=3√x+4+3
Step-by-step explanation:
g(x) shift left 4, shift up 3, with no compression or stretch.
a=1
h=-4
k=3
The function f(x) after the transformation can be written as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that function g(x) is a transformation of the cube root parent function f(x) = [tex]$\sqrt[3]{x}[/tex].
The function f(x) is shifted up by three units and left by 4 units. So, we can write the rule for the function transformation as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
Therefore, the function f(x) after the transformation can be written as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
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Choose the symbol that correctly compares the fractions below.
9/11 ? 10/11
a.) >
b.) <
c.) =
Answer:
b) <
Step-by-step explanation:
Answer:
b.)<
9 / 10 < 10 / 11
Hope it helps:-)
I need help please !!! Help noww
Answer:
Sorry link only if you have enough rupees
Step-by-step explanation:
78x
87x
09x
cc
bb
dom=cb
makes sense now c.r.y because this answer is too smart f/.or y.o.u not helping you? just pray and god will give you your answer or talk morshu he'll give you help BUT only if you have enough rupees.
Round 171,936 to the nearest ten thousand
Answer:
Rounding = 170,000
Your answer is → 170,000
8+2x-4=6+2(x+1) please help
Answer:
Step-by-step explanation:
