Answer:
0.7780
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
We have that [tex]\mu = 7.19, \sigma = 0.86[/tex]
Sample of 12:
[tex]n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483[/tex]
What is the probability that the mean cost will be more than $7.00?
This is 1 subtracted by the pvalue of Z when X = 7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{7 - 7.19}{0.2483}[/tex]
[tex]Z = -0.765[/tex]
[tex]Z = -0.765[/tex] has a pvalue of 0.222
1 - 0.222 = 0.778
So the answer is 0.7780
An air conditioning System can circulate 480 cubic feet of air per minute. How many cubic yards of air can circulate per minute?
Answer:
1440 cubic yards
Step-by-step explanation:
There are 3 feet in a yard. Multiply 480 x 3 using the algorithm and you get 1440.
Is the following set a function?
{(-3, -27), (-2, -18), (1, -9), (0, 0), (1,9), (2, 18), (3, 27)}
A) Yes
B) No
Answer:
yes i think
Step-by-step explanation:
12 + y = y + 12*
Commutative Property
Associative Property
Identity Property
Distributive Property
Answer:
Commutative
Step-by-step explanation:
Identity equals adding 0
Associative means grouping diff. ways
Distributive is distributing into sections
Need help don’t know what to do I’m confused
Answer:
-x + y = 8
Step-by-step explanation:
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{10-7}{2-(-1)} = \frac{3}{3} or 1[/tex]
slope = 1, m represents the slope
y - y1 = m(x - x1)
choose any point ( -1, 7 ) or ( 2,10 )
y - 7 = 1( x + 1 )
y - 7 = x + 1
-x + y = 8
pls help <33333333333
Answer:
a
Step-by-step explanation:
Answer:
180-(60+70)=50
180-50=130 so a
Step-by-step explanation:
Which is the lower rate?
(a) 2,133 km in 6 hours
(b) 1,498 km in 7 hours
Answer:
2133 km in 6 hours is lower than 1498 km in 7 hours
Step-by-step explanation:
You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?
Answer:
in 2030 the land will aproxmatly be worth $113750
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (16r⁶s³) / (8r²s⁶)
Simplify the expression, then we have
⇒ (16r⁶s³) / (8r²s⁶)
⇒ 2r⁴ / s³
The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ6
Solve for y:
76y = 19
A. y = 4
B. y = 2/3
C. y = 1/4
D. y = 38
Answer:
C. y=1/4
Step-by-step explanation:
76y=19
y=19/76
7=.25 or 1/4
Answer:
Hi! The correct answer is C. y = 1/4
Step by step explanation:
Divide each term by 76 and simplify.
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answer:
Hey
Step-by-step explanation:
Where is the question
How many 1/6 are in 2/3
Answer:
4
Step-by-step explanation:
2/3 ÷ 1/6 = 2/3 · 6/1 = 4
Answer:
It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.
Hope you enjoy !
w=x^2-2yx make y the subject of the formula
Answer:
[tex]y=\dfrac{x^2-w}{2x}[/tex]
Step-by-step explanation:
The given equation is :
w=x²-2yx
We need to find the value of y.
Subtract x² from both sides.
w-x²=x²-2yx-x²
w-x² = -2yx
Dividing both sides by -2x
[tex]\dfrac{w-x^2}{-2x}=\dfrac{-2yx}{-2x}\\\\y=\dfrac{w-x^2}{-2x}\\\\y=\dfrac{x^2-w}{2x}[/tex]
So, the value of y is equal to [tex]\dfrac{x^2-w}{2x}[/tex].
WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT
Answer:
How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation
Step-by-step explanation:
5. If rectangle ABCD is similar to rectangle MNOP, which of the following must be true? Explain how you know.
a)
b)
BC.NO
CD OP
2C - ZO
ZB ZM
c)
Answer:b and c
Step-by-step explanation:
Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has the higher Y- Intercept ? ( please help 90 points!!! will give the brainliest and thanks!!!!!) pleaseee help quickly
Answer:
equation b the y intercept is the constant which is 1
Step-by-step explanation:
write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15
Answer:
The first 4 terms of the sequence are: 3, 9, 81, 6561
Step-by-step explanation:
We are given the following recursive function:
[tex]f(n) = [f(n-1)]^{2}[/tex]
And the following initial condition:
[tex]f(1) = 3[/tex]
The second term of the sequence is:
[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]
The third term of the sequence is:
[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]
The fourth term of the sequence is:
[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]
The first 4 terms of the sequence are: 3, 9, 81, 6561
Please help me !!! I will give branlyist ONLY IF RIGHT Question 2 (5 points)
(05.02)
A triangle can be formed with side lengths 4 in, 5 in, and 8 in. (5 points)
1) True
2) False
Answer:
true
Step-by-step explanation:
the triangle inequality statement says the sum of any two sides must be greater than the third side
value 4, 5, and 8 work
4 + 5 > 8 true
4 + 8 > 5 true
5 + 8 > 4 true
An aircraft seam requires 20 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 16% of all seams need reworking, what is the probability that a rivet is defective
Answer:
probability that a rivet is defective is 0.00868
Step-by-step explanation:
given data
rivets = 20
all seam need reworking P = 16% = 0.16
solution
we consider here probability of a defective rivet = p
and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)
so that for non-defective = 1 - P [all the rivets are non-defective]
and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]
= [tex]1 - (p})^{20}[/tex] ....................1
so
1-0.16 = [tex]1 - (p})^{20}[/tex]
0.84 = [tex]1 - (p})^{20}[/tex]
[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p
solve it we get
p = 0.00868
so, probability that a rivet is defective is 0.00868
PLS HELP ME Find a sum equivalent to the product shown. 5(x+z)
No answers just trollling will be reported
Answer:
20
Step-by-step explanation:
If 4 tickets cost $28.96, how much is one ticket?
Answer:
7.24
Step-by-step explanation:
Divide 28.96 by 4
28.96/4=
7.24Answer:
$7.24
Step-by-step explanation:
28.96 ÷ 4 = 7.24
hope this helps...
QUCIK!!!!
Find the equation of the line with Slope = 5 and passing through (7,43). Write your equation in slope
intercept form
Answer:
Y=5x+8
Step-by-step explanation:
43=5(7)+b Substitute in the ordered pair and solve in parathensis
43=35+b Subtract 35 from both sides
43-35=-35+b Did you subtract?
8=b The variable is 8.
y= 5x+8 Rewrite the equation in slope intercept form
D'Andre's Donuts makes both chocolate and plain glazed donuts. Each Saturday, they make 13 plain glazed donuts for every 7 chocolate glazed donuts. These are Kelli's favorite donuts. What is the ratio of chocolate glazed to plain glazed?
Answer:
The ratio is 7 : 13
Step-by-step explanation:
Given that:
Number of plain glazed donuts made on Saturday = 13
Number of chocolate glazed donuts made on Saturday = 7
Ratio of chocolate glazed donuts to plain glazed donuts;
Chocolate glazed donuts : Plain glazed donuts
7 : 13
Hence,
The ratio is 7 : 13
Suppose that the people in a certain city are catching cold. It is observed that after one week, 40% of the people who were sick are still sick. Of the people who were well, 30% are sick after one week. If, at some particular time, 20% of the people are ill, find the proportion of people who are sick after two weeks
Answer:
the proportion of people who are sick after two weeks is 33.2%
Step-by-step explanation:
Given the data in the question;
Let there be 100 people in the city;
20% of them are sick( 20/100 × 100) = 20 people
so 80% are fine = ( 100 - 20 ) = 80
after one week, 40% of the people who were sick are still sick
40/100 × 20 = 8%
of the 80% of people who were well, 30% got sick after one week
30/100 × 80 = 24%
so after one week. 8% + 24% = 32% of the people were sick,
hence 68% are fine.
now, after second week 40% of sick and 30% of not sick people previously will be sick
∴ Total people who are sick after two weeks
⇒ 40/100 × 32 + 30/100 × 68
= 12.8 + 20.4
= 33.2
Therefore, the proportion of people who are sick after two weeks is 33.2%
What is the value of s?
Answer:
68 is the answer
i will give the best answer brainliest!!
Answer: none of them are correct
Step-by-step explanation:
BECUASE if it is then it would show it on the nuber line.
Answer:
A
Step-by-step explanation:
Add 3 to each side, there's your answer there.
what would be the ° from SQT
Answer:
79°
Step-by-step explanation:
Line pu is a straight line meaning it has a measure of 180°.
37+34+30=101
180-101=79
please answer i know the picture is a little blurry but please i will give you brainliest!!
Answer: the 1st one.
Step-by-step explanation: becuase today I was helping out a freind with this. So it the first one
does anyone know when the next season of cobra kai is coming out?
Answer:
Early 2022
Step-by-step explanation:
6. The sum of two numbers is 30. The sum of the
first number and three times the second number
is 54. What is the product of the two numbers?
It is a collection or set of units or
entities from whom we got the data.
universe
variable
population
sample
Answer:
Population.
Step-by-step explanation:
Population can be defined as a collection or set of units or entities from whom we got the data.
This ultimately implies that, a population is the larger set from which other units can be picked from.
Hence, a population is an entire collection of outcomes or objects from which we can obtain or collect data. For example, the number of new born babies in a hospital, a country and the total number of football players in a soccer league.
Population = Movies.
Subset (sample) = comedy movies, horror movies, romance movies, and action movies.