Answer:
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that [tex]\mu = 8, \sigma = 4[/tex]
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.56 - 8}{4}[/tex]
[tex]Z = 1.89[/tex]
[tex]Z = 1.89[/tex] has a pvalue of 0.9706
X = 1.48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.48 - 8}{4}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.
[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]
send helpp pleaseeeeee
Answer:
1. VR and TS
2. TS and RS
3. TV and RS
Step-by-step explanation:
GEOMETRY!! Will give brainliest
Answer:
60
Step-by-step explanation:
(20x15)0.5
f(x)= x2 + 5x at x = 4
Answer:
x)x+5x
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = 4 and f(x) = y}[/tex]
[tex]\mathsf{y = 4^2 + 5(4)}[/tex]
[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]
[tex]\mathsf{y = 16 + 5(4)}[/tex]
[tex]\mathsf{5(4) = 20}[/tex]
[tex]\mathsf{y = 16 + 20}[/tex]
[tex]\mathsf{36= 20 + 16}[/tex]
[tex]\mathsf{y = 36}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?
A. 13 cubic ft
B. 7 cubic ft
C. 6 cubic ft
D. 8 cubic ft
Answer:
C; 6 cubic ft.
Step-by-step explanation:
theres 6 cubes and each are 1 feet 2^ so therefore 6 times 1 = 6 ft. 2^
Please assist me with this Distribution Problem
9514 1404 393
Answer:
1. 6.1 to 10.3
2. 9.6 hours
3. 7.5 hours
Step-by-step explanation:
1. The empirical rule or the supplied chart will tell you that μ ±3σ of the distribution is within 99.7% of the mean. Here, that is ...
8.2 ±3(0.7) = 8.2 ±2.1 = [6.1, 10.3]
The range of hours is 6.1 to 10.3 hours.
__
2. 2.5% of the distribution is above μ +2σ, or ...
8.2 +2(0.7) = 9.6 . . . hours
__
3. The bottom 16% of the distribution is below μ -σ, or ...
8.2 -0.7 = 7.5 . . . hours
Plzzz helpppp!!! (Plz include steps in answer so Ik how to do it!) Given vectors u = (4,4) and v = (-1,2), find the sum u + V and write
the result in component form.
Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?
Answer:
18541.89/9 = $2060.21 is the answer
Step-by-step explanation:
Total college tuition = $18541.89
Number of equal payments = 9
Equal payments = 18541.89/9
= $2060.21
(Please do correct me if I'm wrong as I'm not completely sure)
Milo has 5 nickels. Milo has 6 fewer nickels than Elliott. How many nickels does Elliott have?
Answer:
11
Step-by-step explanation:
x - 6 = 5
Clare bought an expensive
for £38 000 and sold it 3 years later
for £25 000. Find the percentage loss
that she made on the sale. (1 dp)
Can someone help me out please ? Will give brainiest answer. Need all 6
Step-by-step explanation:
tell me the math problem I will tell u the answer its blurry
What is the value of the expression shown? 6+43 – 8:2
Answer:
i'm sorry i think math is too hard could u help me
Step-by-step explanation: i understand the math problem
The product of 4 and a number
Answer:
4*x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
x in this case would be the number
A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a penny
Missing Details
Quarters ≡ Dimes ≡ Nickels ≡ Pennies
23 ≡ 29 ≡ 17 ≡ 38
Answer:
[tex]P(Q\ or\ P) = 0.5701[/tex]
Step-by-step explanation:
Given
[tex]Quarters = 23[/tex]
[tex]Dimes = 29[/tex]
[tex]Nickels = 17[/tex]
[tex]Pennies = 38[/tex]
First, we calculate total number of coins
[tex]Total = 23 + 29 + 17 + 38[/tex]
[tex]Total = 107[/tex]
The probability of obtaining quarter (Q) of penny (P) is:
[tex]P(Q\ or\ P) = P(Quarters) + P(Pennies)[/tex]
[tex]P(Q\ or\ P) = \frac{n(Quarters)}{Total} + \frac{n(Pennies)}{Total}[/tex]
Take LCM
[tex]P(Q\ or\ P) = \frac{n(Quarters) + n(Pennies)}{Total}[/tex]
[tex]P(Q\ or\ P) = \frac{23 + 38}{107}[/tex]
[tex]P(Q\ or\ P) = \frac{61}{107}[/tex]
[tex]P(Q\ or\ P) = 0.5701[/tex]
Find the x intercept for the graph, 3x-14y+12=0
12 girls are having a sleepover at a house, the food there can last them for 10 days. If 3 more girls came over, how long will food last
Answer:
The answer is 8
Step-by-step explanation:
12*10=120 120/15=8
A circle garden has a diameter of 12 yards what is the area of the garden use 3.14 for pie
Answer:
37.7 ft
Step-by-step explanation:
If 5 people shared
1
of a ton of rocks, how much will each person get?
15
0 75 tons
1
05 tons
55
25 tons
1
tons
75
Answer:
I need help with this to!
Roger has 47 cars. Can they be grouped in more than two ways?
Answer:
Is there more context? Like an image, describing what cars there are?
Step-by-step explanation:
You can sort cars by model type, brand, color, style, etc. So yes, unless there is only 2 types of car types/brands/colors/style etc
PLEASE HELP which number line represents the solution to |x-5|< 3 ?
need help pleaseee !!!
Distance between the points (2,7) and (-2,-7)
Answer:
um isn't it (4,14)
Step-by-step explanation:
How are a parallelogram and a trapezoid different?
O A Atrapezoid has only 1 pair of parallel sides but a parallelogram has 2
O BA parallelogram has 4 nght angles but a trapezoid doesn't need to have 4 night angles
OC A parallelogram has only 1 pair of parallel sides but a trapezoid has 2
D. A trapezoid has 4 right angles but a parallelogram doesn't need to have 4 night angles
8 07 13 Answered
Answer:
(a) A trapezoid has only 1 pair of parallel sides but a parallelogram has 2
Step-by-step explanation:
Required
The difference between a trapezium and a parallelogram
The major difference is:
A trapezium has a pair of parallel side, the other sides are not parallel
A parallelogram has 4 sides where opposite sides are parallel (i.e 2 pairs of parallel sides).
Hence, (a) is correct
2x² + 8x²8x-32
how do find the x and y intercept?
Answer:
Step-by-step explanation:
multiply and divide your equation then subtarct it and you get your answer
The slope indicates that the height ? feet per minute.
if you were a doughnut shop owner and wanted to find out which doughnut you should make more of, which measure of central tendency would you use.
Answer:
Mode
Step-by-step explanation:
Measures of central tendency:
The 3 most common measures of central tendency are: The mean, the median, and the mode.
The mean is the average value.
The median separates the lower 50% of the values from the upper 50% of the values.
The mode is the value that appears the most times in the data-set.
In this question:
To find the doughnut you should make more, you should have to know which has the biggest interest from clients, that is, the one that is sold the most, which means that the mode should be used.
Answer:
Mode
Step-by-step explanation:
Please help!!! Find the volume of the cylinder.
Round to the nearest tenth.
r= 3 cm
3 cm
V = [ ? ] cm3
Enter the number that goes in the green box.
Answer:
V ≈ 84.8 cm³
General Formulas and Concepts:
Math
π (pi) - 3.14159265RoundingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Identify Variables
Radius r = 3 cm
Height h = 3 cm
Step 2: Find Volume
Substitute in variables [Volume Formula]: V = π(3 cm)²(3 cm)[Volume] Evaluate exponents: V = π(9 cm²)(3 cm)[Volume] Multiply: V = 27π cm³[Volume] Multiply: V = 84.823 cm³[Volume] Round: V ≈ 84.8 cm³please answer asap i need help
Answer:
x = 11
Step-by-step explanation:
interior angles of a triangle = 180
equation:
⇒ 82 + 31 + 6x + 1 = 180
combine like terms:
⇒ 82 + 31 + 6x + 1 = 180
⇒ 114 + 6x = 180
subtract 114 on both sides:
⇒ 114 - 114 + 6x = 180 - 114
⇒ 6x = 66
divide 6 on both sides:
⇒ 6x = 66
⇒ [tex]\frac{6x}{6} = \frac{66}{6}[/tex]
⇒ x = 11
Use the two-way table to answer the question.
A student surveys classmates to find out if they prefer muffins or cookies with or without nuts. The table summarizes the responses of the survey.
Part B
If a student prefers nuts, what is the approximate probability the student also prefers muffins?
O 11%
O 18%
O 31%
O 46%
Answer:
A.) 11%
Step-by-step explanation:
Step 1) There are 9 favorable outcomes but only 1 outcome is possible, so that leaves us with a fraction of: [tex]\frac{1}{9}[/tex]
Step 2) Then we need to turn this into a decimal to find the percentage:
1 ÷ 9 = 0.111111111...
Step 3) We now need to turn this into a percent:
0.11 x 100% = 11%
Answer the question
Use the net to find the surface area of the cylinder. 6ft and 7ft
Answer:
A. 84 pi feet^2
Step-by-step explanation:
So the lateral area is the rectangular piece on the net
In order for it to be an actual cylinder the 2 circles are congruent
Therefore the radi, area, circumference ect.. are the same.
So the only missing measurement we need to find the lateral area is the length of the rectangular piece
If you visualize a cylinder, the rectangular piece goes around the perimeter/circumference of the circle
So that means that the length of the rectangle is the circumference of the circle
Circumference = 2*pi*r
2 * pi * 6
= 12 pi
Then 7*12 pi
=84 pi
So the lateral area is 84 pi
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