Answer:
0.9864
Step-by-step explanation:
The average sample mean is 295, and the standard deviation is:
σ = 15 / √17
σ = 3.64
The z-scores are:
z = (x − μ) / σ
z₁ = (-9) / 3.64
z₁ = -2.47
z₂ = (9) / 3.64
z₂ = 2.47
So the probability is:
P(-2.47 < Z < 2.47) = P(Z < 2.47) − P(Z < -2.47)
P(-2.47 < Z < 2.47) = 0.9932 − 0.0068
P(-2.47 < Z < 2.47) = 0.9864
Using the normal distribution and the central limit theorem, it is found that there is a 0.9864 = 98.64% probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean.
In a normal distribution with mean and standard deviation , 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.For a sample of size n, by the Central Limit Theorem, the standard deviation is given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]In this problem:
Mean of 295 days, thus [tex]\mu = 295[/tex].Standard deviation of 15 days, thus [tex]\sigma = 15[/tex].Sample of 17 pregnancies, thus [tex]n = 17, s = \frac{15}{\sqrt{17}}[/tex].Gestation period within 9 days of the mean is between 286 and 304 days, and the probability is the p-value of Z when X = 304 subtracted by the p-value of Z when X = 286.
X = 304:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{304 - 295}{\frac{15}{\sqrt{17}}}[/tex]
[tex]Z = 2.47[/tex]
[tex]Z = 2.47[/tex] has a p-value of 0.9932
X = 286:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{286 - 295}{\frac{15}{\sqrt{17}}}[/tex]
[tex]Z = -2.47[/tex]
[tex]Z = -2.47[/tex] has a p-value of 0.0068
0.9932 - 0.0068 = 0.9864.
0.9864 = 98.64% probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean.
A similar problem is given at https://brainly.com/question/24663213
Kaley and Tom both work at Publix. for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom if h represents the number of hours Tom worked? What is another way to write the expression?
(7,7) and (-3,7) are on the line
Answer:
Did you forget to add an attachment?
Answer:
Step-by-step explanation:
The volume of a hemisphere with radius x is V(x) = 2/3 πx3. The volume of a cube with a height of x is shown in the graph. When x = 2, which volume is greater?
The volume of the _________ is greater when x = 2.
(hemisphere or cubic)
Answer:hemisphere
Step-by-step explanation:
The volume of the hemisphere is greater when x = 2.
The formula for calculating the volume of a hemisphere is expressed as:
[tex]V=\frac{2}{3} \pi x^3[/tex]
Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:
[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]
Next is to get the volume of a cube expressed as:
[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]
Hence the volume of the hemisphere is greater when x = 2.
Learn more here: https://brainly.com/question/14022833
Which algebraic expression is equivalent to the expression below?
(13x - 7) + (12 - 3x)
A.
10x + 5
B.
25x - 10
C.
16x + 19
D.
10x + 19
Answer:
10x + 5
A is the correct answer
Step-by-step explanation:
Can somebody please write it down like show the work I need to know thanks
Answer:
-5/33
Step-by-step explanation:
find the slope of the line that passes through the point (-5,3) and (5,-3).
Answer:
-6/10 or -0.6
Step-by-step explanation:
m=y2-y1/x2-x1
-3-3=(-6)
5-(-5)=10
-6/10
hope this helps :3
if it did pls mark brainliest
If the ratio of the length of a rectangle to its width is 9/4 and its length is 18 cm, what is the width of the rectangle?
PLEASE ANSWER
Answer:
The width is 8
Step-by-step explanation:
if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8. 9*2=18,4*2=8
Answer:
The width of the rectangle is 8.
Step-by-step explanation:
I found this answer after taking a quiz and getting it wrong. After that I wanted to find this question on Brainly and answer it so others wouldn't get it wrong.
HOPE IT HELPS :)
Share 40 pound between two people at the ratio 1:4
Step-by-step explanation:
1+4=5
40:5=8
1*8=8
4*8=32
8:32
How many five letter strings are there that start with a consonant and end with Y where repetition is not permitted
Answer: 242,880
Step-by-step explanation:
We know that:
We have 5 letters.
There is no repetition allowed.
The strings start with a consonant.
The strings end with the letter Y.
Ok, in our alphabet we have:
26 letters.
21 consonants
5 vowels.
Now, let's count the number of options for each one of the letters in the string.
First letter, this must be a consonant, initially, we can have 21 options, but this string must finish with an Y, and Y is a consonant, so it can not be in the first letter, then for the first letter we have 20 possible options.
Now we have a total of 26 - 1 - 1 = 24 letters left, where we subtracted the consonant for the first letter, and the Y for the last letter.
The options for the second letter will be 24.
The options for the third letter will be 23
The options for the fourth letter will be 22
For the last one we have a fixed value, so we have only one option.
The total number of combinations will be equal to the product between the numbers of options for each letter, this is:
C = 20*24*23*22 = 242,880 possible strings.
16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories
Answer:
d. 165 calories
Step-by-step explanation:
First of all, we would find the amount of calories in 1 gram of the artificial sweetener
1 gram = 220/75
1 gram = 2.93 calories
Therefore, 484 grams has;
484 * 2.93 = 165.2
Approximately, this is equal to 165 calories.
Method 2
220 grams of the artificial sweetener has 75 calories.
484 grams of the artificial sweetener has x calories.
Translating the word problem into an algebraic equation, we have;
220 = 75
484 = x
Cross-multiplying, we have;
220x = 75*484
220x = 36300
x = 36300/220
x = 165 calories.
pls pls help hurryyy
Who answers it first is the winner plz
Aranza wrote the equation below. What is the slope? __________ *
y=4x+3
What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13 ? (1 point) Subtract 13 from both sides Divide both sides by 7 Add 5 to both sides Multiply both sides by 4\
It is add five two both sides.
What is the equation for the line in slope-intercept form?
Please help!!!
Answer:
y=-8x+5
Step-by-step explanation:
slope is -8 y intercept is 5
Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}
Find the probability of the intersection of A and B.
Answer:
The required probability for the intersection of A & B = 0.25
Step-by-step explanation:
Given that:
Sample space S = {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Also;
A = {E1, E4, E6}
B = {E2, E4, E7}
C = {E2, E3, E5, E7}
Then
P(A) = 0.05 + 0.25 + 0.10 = 0.4
P(B) = 0.20 + 0.25 + 0.05 = 0.5
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6
The intersection of A and B are:
P(A ∩ B) = E4
P(A ∩ B) = 0.25
The required probability for the intersection of A & B = 0.25
Two math questions
Among all pairs of numbers whose sum is 14, find a pair whose product is as large as possible. What is the maximum product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
(Use a comma to separate answers.)
The maximum product is nothing.
and
- refer to picture
pls answer this asap will give brainliest
Answer:
C: The American antelope
Step-by-step explanation:
HELPPPPOP PLEASEEE ILL GIVE BRAINLIEST!!!!
question 4. Solve each compound inequality.
Answer:
-7/2≤x<3
Hope this helps!
Answer:
Step-by-step explanation:
bvcvcvcbvcbvcbvbvcv
The sum of two numbers is 138. One number is 20 less than the other. Find the numbers.
Answer:
Step-by-step explanation:This is two variables and two equations. x and y will be the two different numbers.
1.x + y =138
2.x= y-20
plug #2 into #1.
(y-20) + y = 138
2y - 20 = 138
2y = 158
y = 79 and plug into #2 and find x.
x = 79-20 = 59 = x
Step-by-step explanation:
x + y = 138
x = y - 20
(y - 20) + y = 138
2y - 20 = 138
2y = 158
y = 79
Answer x = 79 - 20 = 59 = x
help me answer this question please
Answer:
f'(2) = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASCalculus
The definition of a derivative is "the slope of the tangent line".
Derivatives of constants are 0.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 4x + 2
Step 2: Find 1st Derivative
Basic Power Rule: f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹Simplify: f'(x) = 6x - 4Step 3: Find tangent slope
Define: f'(x) = 6x - 4, x = 2Substitute: f'(2) = 6(2) - 4Multiply: f'(2) = 12 - 4Subtract: f'(2) = 8Step 4: Identify
f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.
I
A local pizza shop charges $12.50 for a large, one-topping pizza. Each additional
topping is $1.25.
a. Write an equation for the total cost C of a large pizza with t toppings.
b. How much does it cost for a three-topping pizza?
c. How much does it cost for a five-topping pizza?
Answer:
12.50+1.25t=c for A
12.50+ (1.25x3)
/\
I
3.75
12.50+3.75=16.25 fro B
12.50+6.25=18.75
Step-by-step explanation:
u r welcome
4d + 3 - d + c Simplified Answer-Type Answer Here,
There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students
Answer:
28
Step-by-step explanation:
If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.
How would you express the area of the rectangle using the Distributive Property?
Answer:
The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.
Step-by-step explanation:
Hope this helped, Have a Wonderful Day!!!
The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch.
Required:
a. What is the probability that the strength of a sample is less than 38 lb/in²?
b. If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
Answer:
a) the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b) approximately 0.62% of the sample are scrapped
Step-by-step explanation:
a)
What is the probability that the strength of a sample is less than 38 lb/in²?
lets X rep the paper tensile strength in pounds per square inch.
the probability that the strength of the sample is less than 38 lb/in²
i.e P( X < 38 )
so assuming that X is normally distributed with u = 35 lb/in² and α = 2 lb/in²,
so the probability expression P( X < 38 ) can be standardized as
P( X < 38 ) = P( (X-35)/2 < (38-35)/2)
= P( X < 1.5 )
from the cumulative standard normal distribution table,
we find P( X < 1.5 ) = 0.9332
so
P( X < 38 ) = P( X < 1.5 )
= 0.9332
therefore the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b)
If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
this can be represented as P( X < 30 )
By standardization the probability expression P( X < 30 ) can be transformed as;
P( X < 30 ) = P( (X-35)/2 < (30-35)/2)
= P( z < -2.5 )
from the cumulative standard normal distribution table,
we find P( X < -2.5 ) = 0.0062
so
P( X < 30 ) = P( X < -2.5 )
= 0.0062
therefore, approximately 0.62% of the sample are scrapped
Please help me I’m giving out all my points and please be honest I really Need y’all’s help :( I will give 30 points :)
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A bike travels 24 miles in 3 hours. How many miles will the bike travel in 12 hours?
Answer:
72
Step-by-step explanation:
24 / 3 = 8
so
8*7 = 72
Answer:
72
Step-by-step explanation
24 / 3 = 8
so
8*7 = 72
1. Karen is a pianist in a local coffee shop. She makes $12.25 an hour and was able able to work 35 hours last week. How much money did she make? Your answer
Two cyclists start from different locations and simultaneously begin heading toward each other. One of the cyclists travels 16 mph, while the other cyclists travels 22 mph. If the two cyclists are 342 miles apart, how many hours will it take for them to meet?
Answer:
The cyclists will meet after 9 hours.
Step-by-step explanation:
Let t be the time the cyclists need to meet.
16t + 22t = 342
38t = 342
t = 9
PLSSSS Does anyone know what questions the teachers ask in the module 2 DBA for flvs, grade 7 math?!
Answer:
This question gives out some personal info. Please be more careful on the internet.
Step-by-step explanation:
its say your grade and what state you live in.
