5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). The probability that X is between 1.48 and 15.56 is _____________. Write out the probability notation for this question.
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]
what is a salesperson Commission on a $600 sale if the commission rate is 30%
Answer:
180
Step-by-step explanation:
3+(4x4+1)x2. Due tomorrow morning at 12:00!
please help get this right please I'm nut sire if it right
Calculate the lateral surface area of the rectangular prism:
A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches.
What is the perimeter of the shape?
30 inches
40 inches
60 inches
72 inches
Answer:
40 B
Step-by-step explanation:
edge 2021
please help i've benn stuck on these questions for hours and it's due today
Answer:
1st one i think is B
the 2nd i think is C
I need help with these pls
What is 4(3+x) and how do I solve it
Answer:
12 + 4x
Step-by-step explanation:
To solve this you would have to use the distributive property.
The problem would basically go like this.
4 (3+x)
(Distribute)
(4x3) (4 x X)
4x3 = 12, 4 x x = 4x
So the answer would be 12 +4x
Hope this helps :)
Answer:
12+4x
Step-by-step explanation:
4(3+x)
1️⃣Expand by distributing terms.
4*3+4x
2️⃣Simplify 4*3 to 12
12+4x
Answer: 12+4x
Done ✔
Myles bought 4 rose bushes and 4 tulip plants. Let r represent the number of roses in bloom on each rose bush and t represent the number of tulips in bloom on the each tulip plant. Myles and Jenna each wrote an expression that represents the total number of flowers in bloom. Are the expressions equivalent? Justify your answer.
Answer:
what are the choices of answers
Step-by-step explanation:
An organization published an article stating that in any one-year period, approximately 10.2% of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.
1. Calculate the following.
a. x =
b. p' =
c. n =
2. Calculate σx.
3. Find the p-value.
Answer:
W21221
Step-by-step explanation:
A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
A ladder leans against a brick wall. The foot of the ladder is 7 feet from the wall. The ladder reaches a height of 22 feet on the wall. What is the angle the ladder makes with the wall? (to the nearest tenth)
Answer: 17.7
Step-by-step explanation:
[tex]tan x = \frac{7}{22} \\tan x = .318181\\inverse tan of .3181818= 17. 65[/tex]
ready readyup here we go
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
all the other ones are incorrect.
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
har says that ¼ of a cereal bar is larger than ⅓ of the cereal bar. Is he correct? Explain your thinking/reasoning.
The Booster Club sells meals at basketball games . Each meal comes with a choice of a main: hamburgers , pizza , hot dogs, cheeseburgers , or tacos, and a choice of a drink: root beer, lemonade, milk, coffee, tea, or cola. How many possible sandwich/drink combinations are there? (Show work) (2 pts)
30 combinations is the answer.
Step-by-step explanation:
Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.
And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.
So, possible combination can be = combinations.
Write an exponential equation with (1, 8) and (2,32)
Answer:
y=2(4^x)
Step-by-step explanation:
exponential equation in form y=ab^x
sub both point and solve
8=a(b^1)=ab...(1)
32=a(b^2)....(2)
equation (2)/(1):
32/8=b
b=4
a=2
what is the answer to 4/5 x 5/8
Answer:
0.5
Step-by-step explanation:
I said soooosnsmmsmsms
Could someone help?
What is the common ratio of the sequence?
-2, 6, -18, 54,...
A. −3
B. −2
C. 3
D. 8
Answer:
A
Step-by-step explanation:
because just multiply each number by -3 and it should be the next nember
Answer:
A
Step-by-step explanation:
-2×(-3)=6 then 6×(-3)=-18 and so on
whoever gets this correct gets brainliest
Solve for x. x^2 + 4x + 4 = 8
help me out i’ll give you the brainliest! :)
What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72
What number must you add to x² + 16x = 3 to complete the square 64: Option C
What is a perfect square?You should be aware that a perfect square is a term that has two common factors
The given equation is x² + 16x = 3
To make the equation a perfect square, Add the square of half of the coefficient of s to both sides
This is to say that (16/2)² = 8² = 64
The equation becomes x²+16x+64 = 3+64
Then you can factorize the equation and simplify the right hand side
Learn more about perfect squares on https://brainly.com/question/385286
#SPJ1
very got on the bus at 4:20 P.M. The trip took 80 minutes. Then she walked for 49 minutes to get home. At what time did Avery arrive at home?
Answer:
6:29pm
Step-by-step explanation:
there 60min in a hour and that's what I got
-6y+11x=-34
-4y+7x=-24
Answer:
no idea but mabye someone whose NOT in 3rd grade will know?
Explain in words please.
Answer:
I don't know what you mean by "explain in words", but I'm assuming you were referring to point b.
Step-by-step explanation:
You have to see that the rate of change, the "speed" at which her elevation decreases is 0.25 feet/s, such that in 8 seconds she went down by 2 feet.
Thus, until 50, you just gotta do the calculation for that speed. You notice that she needs to go 30 feet, at a speed of 0.25 feet per second, or 1 foot every 4 seconds.
HELP NEEDED PLEASE HELP
There were some apples in a box. 12% of the apples were rotten.
There were 36 rotten apples in the box. How many apples were there
in the box?
Answer:
300
it is given that 12% were rotten
12% = 36
then let total no of apple be X
then , x*12/100 = 36
x= 36*100/12
x = 300
hence total apple were. = 300
hope it helps
-17-x=8 pls answer bc I'm deparet
Answer:
x= -25
Step-by-step explanation:
Do 8 plus 17=25
x must be positive so -25
describe 3 fractions and explain your reasoning using full sentences?
Answer:
gbrggbtgrrbfrhrhhhhhthrghrjwhrhr
Step-by-step explanation:
g
g
g
g
gg
g
rwribfebrgvebisbvfdfjndfinfvijnijnvdiniwdiengueinrugbvhbigb
FOOOOOOOOOOOOOT YEEEEEEEEEEEEEET
Which triangle makes this statement true?
Answer:
Step-by-step explanation: