The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, we're specified that:
X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:
[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)
Converting X to standard normal variate makes us evaluate this probabiilty as:
[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]
The p-value for Z = 2 (from the z-tables) is found to be 0.9772
Thus, we get:
[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]
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a stick is 25 feet long and is cut into 2 parts. The longer part id one foot more than twice the shorter part. How long is each part?
Answer:
8 feet and 17 feet
Step-by-step explanation:
We can make out two equations.
Assume L stands for big length and W stands for small length.
The two equations are:
2w+1=L
L+W=25
We figure L=17 and W=8 which is the answer.
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What does c equal in the picture?
Answer:8
Step-by-step explanation:
31/50-13/25 im simplest form
Answer:
0.62 is simple already as a fraction!!
0.52 also simple as fraction
Step-by-step explanation:
Let g(x)=4x +9 and h(x)=x+2. Find the expression.
(h◦g)(x)
12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?
Answer: about 3 boxes would be 3.50 lbs so idrk
Step-by-step explanation:
What is the image point of (-9,-2) after the transformation T-2,-5
Answer:
(-11, -7)
Step-by-step explanation:
The original point is (-9,-2)
The transformation you have to do is (x-2 , y-5)
This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)
So, your final answer would be (-9-2,-2-5) which is (-11,-7)
-5x = 35 what is x?
Answer:
x= -7
Step-by-step explanation:
Answer: x=−7
Step-by-step explanation: Hope this help :D
An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?
Answer:
Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.
Step-by-step explanation:
I can't draw the diagram , but will try to explain:
the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.
∅ is the angle of elevation from clinton to the eagle.
Using SOH CAH TOA,
Tan∅ =30÷12
tan∅ =2.5.
∅ =tan^-1( tan raised to power -1 )
∅ =tan^-1(2.5)
∅ = 68.19859051≅68.2 to 3s.f.
To get the distance between mr. clinton and the eagle:
Using SOH CAH TOA;
Cos68.2 =12/x cross multiplying....
x*cos68.2 =12
∴ x = 12 ÷ cos 68.2
= 12 ÷ 0.3713678356
= 32.31297611≅32.3 to 3s.f.
Hope this helps.....
help out brainliest.
I can't read the question.
What’s the area of the figure?
Please help me pls ASAP thank YOUU
Answer:
I think D
Step-by-step explanation:
Sorry if it's wrong, but it's the only one I think makes sense. Brainlist me if u get it right! :)
What is the volume of a sphere with a diameter of 15 cm?
Answer:
V≈1767.15cm³
Step-by-step explanation:
Using the formulas
V=43πr3
d=2r
solving for v
V=16πd3=16·π·153≈1767.14587cm³
hope i helped plz mark me brainlest
Five friends shared 1 1/2 pounds of fudge equally. How much did each friend get?
Answer:
each friend gets 0.1 fudge
Step-by-step explanation:
PLEASE HELP FASTTT NO LINKS!!
what is the length of this paint brush in centimeters
picture shows a paint brush that is 101 mm long
Answer:
10.1 centimeters
Step-by-step explanation:
divide the length by 10
101 ÷ 10 = 10.1
4/5y - 8 = 2/5y + 16
Answer:
y=60
Step-by-step explanation:
trust
y = 60
Step-by-step explanation:
Step 1: Group all the x terms on the left side of the equation
Subtract y from both sides:
4/5y - 8 = 2/5y + 16
4/5y - 8 - 2/5y = 2/5y + 16 - 2/5y
2/5y - 8 = 2/5y + 16 - 2/5y
2/5y - 8 = 16
Step 2: Group all constants on the right side of the equation
Add 8 to both sides of the equation:
2/5y - 8 = 16
2/5y - 8 + 8 = 16 + 8
2/5y = 16 + 8
2/5y = 24
Step 3: Isolate the x
Multiply both sides by inverse fraction 52
2/5y = 24 5/2
2/5y 5/2 = 24
y = 24 5/2
y = 60
pls tell the answer pls
Answer:
The correct answer is C
Step-by-step explanation:
There are 30 red marbles, 16 blue marbles, and 14 green marbles in a jar.
What is the probability of picking out a red marble without looking?
30%
50%
23%
0 27%
Answer:
B or 50%
Step-by-step explanation:
First, you add all of them together
30 + 16 + 14 = 60
Then you do the part/whole
30/60 = 1/2
1/2 = 50%
Round two decimal places
729015430.40641995
Answer:
729015430.40641995 = 729015430.41
Step-by-step explanation:
Since the 3 decimal place is 6, you round up. If you round up for 0 you get 1. Therefore your answer is 729015430.41.
A camera company packs each camera in a cubeshaped box with side lengths of 1/2 ft. Then the company ships the cameras in a container with dimensions of 5 1/2 ft by 7 1/2 ft by 4 1/2 ft. What is the maximum number of camera boxes that will fit in the container?
The maximum number of camera boxes that can fit in the container is 1485.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The volume of each camera box is given by the cube of the side length, which is (1/2)³ = 1/8 cubic feet.
The volume of the container is given by multiplying its length, width, and height, which gives:
= 5 1/2 ft x 7 1/2 ft x 4 1/2 ft
= 5.5 ft x 7.5 ft x 4.5 ft
= 185.625 cubic feet
To find the maximum number of camera boxes that can fit in the container, we need to divide the volume of the container by the volume of each camera box:
185.625 cubic feet / (1/8 cubic feet per camera box) = 1485 camera boxes
Therefore, the maximum number of camera boxes that can fit in the container is 1485.
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Find the surface area of the prism.
Answer:
326m²
Step-by-step explanation:
Find the area of each side and find the total sum from each individual area:
2(15*4)+2(7*4)+2(7*15)=2(60)+2(28)+2(105)=2(163)=326
So the surface area of the prism is 326m²
What is the area of the
composite figure below?
A. 29cm squared
B. 163cmc squared
C.388cm squared
D. 720cm squared
Answer:
D. 720cm squared is the answer
Ron wants to save $5,000 in 5 years. Can he do this by having $100 deposited into a payroll savings plan each month? Explain. use a calculator if you like.
Answer:
Yes.
Step-by-step explanation:
Yes because 100 times the 12 months in a year equals $1,200 and $1,200 times 5 is $6,000 and $6,000 is greater than $5,000, so yes.
whats the solution to -12x ≤ -72
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex] - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6[/tex]
The direction changes when we divide by nagative value
I hope that is useful for you :)
Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Labor time = 8 hours
Overhead rate = 65%
Retail price of parts = $98.70
Total cost of job = $242.58
What is hourly rate for labor?
A. 27.67
B. 13.32
C. 10.90
D. 117.08
Answer:
No entiendo ingles perdon
7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.
Answer:
5 is a constant
2 is a coefficient
7a + 5 + 2b is written as a sum of three terms
In the Special Right Triangle below, solve for the value of y. Y = _____ (keep your answer in simplest radical form)
Options
6
6√3
6√6
12
12√2
18
12√3
Answer:
The equation of a right triangle is given by a2 + b2 = c2, where either a or b is the height and base of the triangle and c is the hypotenuse. Using the Pythagorean Theorem, finding the missing side of a triangle is pretty simple and easy. The two special right triangles include: 45°; 45°; 90° Triangle.
a correct answer that guy ☝ is rude can i get brainliest for answering
Write the quadratic equation in standard form 3x+x^2=11-3x^2
1. What is greater? 6 pounds and 11 ounces OR 117 ounces? 2. 3/4 tons = how many pounds? (Answer the ones u know!) pls help due in 4 mins
Answer:
1. Equal. 2. 1500
Step-by-step explanation:
6 x 16 = 96 + 11= 117
3/4 x 2000 = 1500
1. The total area of all the faces of a three-dimensional figure is called the?
Pls Answer Fast PLS PLS PLS
A bag of mints has a mass of 50 grams.
How many ounces is that? (1 g = 0.035 oz)
The avoirdupois ounce (exactly 28.349523125 g) is 1/16 avoirdupois pound; given; A bag of mints has a mass of 50 grams.
By conversion of weight we know that ;- [ 1gram = 0.035 oz]
So, 50 gram will be having = [50 x 0.035] ounce
Which is giving our answer to be 1.763 0unce
The avoirdupois system is a weight measurement system that counts weights in pounds and ounces. It was revised in 1959 after coming into usage on a widespread basis in the 13th century AD. By mutual consent, the definitions of the pound and ounce in nations that use the pound as a unit of mass were standardized in 1959.
A system of weights that is generally used in the United States, with the exception of precious metals, stones, and pharmaceuticals, and is based on a pound weighing 16 ounces and an ounce weighing 437.5 grains (28.350 grams).
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