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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The recipe makes 1 serving of punch. Sam used 2 cups of pineapple juice to make her punch, how many servings did she make? Use the equation 2/3m = 2 to find the number of servings.
2/3 cup = Pineapple juice
1/2 cup = orange juice
3/4 cup = Lemon/lime juice
1/3 cup = Ginger ale
Answer: 3 servings
Step-by-step explanation:
Sam used 2 cups of pineapple juice, one serving just needs 2/3 cups of pineapple. 2 divided by 2/3 equals 3 so, Sam made three servings. (in this case 1/2 cup orange juice 3/4 cup Lemon/lime juice 1/3 cup Ginger ale does not matter, you only need to know the pineapple juice.
Mrs. Soto is putting 3 tables together to make 1 long table with a total length of 250 centimeters. The first table has a length of 83 centimeters. The second table has a length of 0.9 meter. How many meters (m) long is the third table?
Hello. I hope this helps!
Let's set up an equation for this.
1st table = 83 cm
2nd table = 90 cm OR 0.9 m
3rd table = x
Total length = 250
Equation:
83 + 90 + x = 250
Now we'll solve the equation.
83 + 90 + x = 250
173 + x = 250
x = 250 - 173
x = 77 cm
Among all rectangles that have a perimeter of 202, find the dimensions of the one whose area is largest. Write your answers as fractions
reduced to lowest terms.
Answer:
How to write by fraction? 50 1/2 by 50 1/2
Step-by-step explanation:
the maximum area for a rectangle is a square.
To find a square with p = 202, divide it by 4,
202 / 4 = 50.5
Evaluate m+n for m=5 and n=10
Answer:
15
Step-by-step explanation:
5 + 10 = 15
A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is
Answer: $192.50
Step-by-step explanation:
wages for 40 hrs + wages for overtime work
$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)
$192.50
Credit: anjalijalan3126
9996666669999999999999 + 767859439234567890
Answer:
9.9974345e+21
Step-by-step explanation:
im a big brain
X+1/2=x-1/2 true or false?
Evaluate 2x – 5y for x = 3 and y = –9.
Answer:
-2 or 2 i cant find the hole thing
Step-by-step explanation:
Find the volume of a cone with a base radius of 6 in and a height of 12 in. Write the exact volume in terms of , and be sure to include the correct unit in your answer.
Answer:
we have
radius [r]=6in
height [h]=12in
Volume of cone = 1/3πr²h
Volume = 1/3 ×π × (6)² × 12=144πίn³or 452.38in³ is your answer.
100 points What is the equation of the line that goes through (1,-1) and is parallel to y =
3x-3?
A. y+ 1 = 3(x - 1)
B. y+1=-}(-1)
C. y = 3x + 1
OD. y+1-}(x-1)
Simplify the following expression: 3x-(2+4x)
Answer:negative x and negative 2
-x -2
Step-by-step explanation:
The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie
Answer:132.25π m²
Step-by-step explanation:The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π
Five times a number is the same as 30 more than 8 times the number. Find the number. If n is "the number," which equation could be used to solve for the number? 3n = 30 5n + 8n = 30 5n = 8n + 30
Answer:
C. 5n = 8n + 30
Step-by-step explanation:
5 times a number = 5n
30 more than 8 times a number = 30 + 8n
If those expressions are equal, then:
5n = 8n + 30
Solve the following quadratic equation for all values of x in simplest form (x+4)²+38=47
Answer:
- 1
Step-by-step explanation:
( x + 4 )² + 38 = 47
( x + 4 )² = 47 - 38
( x + 4 )² = 9
( x + 4 )² = 3²
Square root on both sides,
x + 4 = 3
x = 3 - 4
x = - 1
Convert 468 inches to yards. Choose the words and numbers to complete the statements.
An inch is
smaller
than a yard, so
multiply
the number of inches by
3
to find the number of yards. Therefore, 468 inches is equal to
Choose...
yards.
Answer:
smaller, divide, 12, and 39 yards
Step-by-step explanation:
An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.
What is a unit conversion?Unit conversion is the process of converting a measurement from one unit of measurement to another equivalent unit of measurement. For example, converting a measurement from meters to centimeters, or from pounds to kilograms.
An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.
Unit conversion is important in many fields, including science, engineering, construction, and even everyday life. For example, in science and engineering, it is common to work with different units of measurement, and converting between them is essential for accurate calculations and analysis.
Therefore, 468 inches is equal to 13 yards.
To know more about unit conversion follow
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Find the surface area of the prism? HELP I need the steps if possible
To find the surface area of a figure, find the area of all the shapes that make up the figure to get the area multiply Base by the height. First let's find the area of the rectangle and the front that makes the ramp. To do this multiply 20 by 17 to get 340. Then let's get the area of the rectangle on the bottom by multiplying 15 by 20 to get 300. Now lets find the area of the rectangle in the back we will do this by multiplying 8 by 20 get 160. To get the area of a triangle multiply the base by the height and then divided by 2. so for one of the triangles let's multiply A perfect in which gives us 120 and divide that by 2 to get 60. because the other triangle has the same dimensions, the area of the other triangle will also be 60. now let's out of all the areas that we have from the shapes which will be 340 + 300 + 160 + 60 + 60 which will give us 920 so the area of the figure is 920ft^2
(can i get brainelist pls)
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
4÷2(4-6+3)×2 what is the answer
Answer:
the answer is 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
Order the following numbers from least to greatest: 2.74, 1/9, 4^2, -2^3, 32.5%,-6
Answer:
−
2
3
,
−
6
,
1
9
,
32.5
%
,
2.74
,
4
2
Step-by-step explanation:
The dot plots show the time it takes to get to school for ten sixth graders
Answer:
Im confused it is not the full information for the question
Step-by-step explanation:
Answer:
it the Ine that you add 3+ 7+2 so it make 9 but it is 10 be cus it 6th so that make 60 so it Canada
Step-by-step explanation:
a/4 + 2 = 6
Please help I need this ASAP!!!
the answer is on the picture
Kirk's parents took him to the movies. His mother told him to sit in the front row in
the seat that occupied the median position. The first row in the theatre has 23 seats.
What seat did Kirk have to sit in?
A 12
B 23
C 1
D 11
A window washer earns $4 per window. Which equation represents the relationship between his total earnings and the number of windows he washes?
what is the GCF of 90, 135, 225
Answer:
45 I believe.* u no ketchup
MIDDLE SCHOOL MATH On the subway 8 out of 10 people are carrying a briefcase. Based on this information, if there are 700 people on the subway, then about how many do NOT have a briefcase?
Answer:
140
Step-by-step explanation:
If 8 out of 10 are carrying a briefcase, that means 2 out of 10 are not carrying one.
Use a proportion to find how many don't have a briefcase with 700 people
Let x represent the number of people without a briefcase:
[tex]\frac{2}{10}[/tex] = [tex]\frac{x}{700}[/tex]
Cross multiply and solve for x
10x = 1400
x = 140
So, 140 people do not have a briefcase
Answer:
140
Step-by-step explanation:
8/10 people, there's 700 people
10 multiplied by 70 =700.
2 people dont have briefcases = 2 times 70=140
These are all my points, if you can do every single question you will get 55 points
follow the screenshots. If that is not good enough let me know. I really need this
1) 6
2) 9
3) 7
4) 1
5) 8
6) 3
7) 0
8) 2
9) 4
10) 5
2. Change the fraction to a decimal.
a. 6/100
b. 43/100
c. 3/10
d. 4 23/4,000
How would I do this?
Answer:
A
Step-by-step explanation:
Answer:
a-0.06
b-0.43
c-0.3
d-I don't know what u were asking 423/4,000 is 0.10575
Step-by-step explanation:
Finding decimals from fractions is easy just divide the top number by the bottom a fraction sign is the same as a division sign I don't know why you use the other one with the dots on both sides instead of just always using this one.
The sum of k and 8. what would the expression be?
Find the value of x pls help with this
The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?
Answer:
Width: 13/2 ft.
Length: 12 ft.
Step-by-step explanation:
Let's assume the width is x
This means that the length is 2x-1, because it it one less than double the width.
The formula for the area of a rectangle is length*width, so
(2x-1)*x=78
Now let's solve for x
2x^2-x=78
2x^2-x-78=0
Use the quadratic formula
x=13/2 and x=-6
x cannot be negative, so we can rule out x=-6 and are left with x=13/2.
Substituting x back into our original assumptions, we now know that
The width is x=13/2 and
The length is 2x-1=2(13/2)-1=12
Final answer: The width is 13/2 ft. and the length is 12 ft.