Answer:
Your answer is A
Step-by-step explanation:
it takes adrian 12 min to swim 4 laps.How many hours will it take him to swim 50 laps?
Answer:
150 minutes
Step-by-step explanation:
Given a standard normal distribution, find the area under the curve that lies (a) to the left of z = −1.39; (b) to the right of z = 1.96; (c) between z = −2.16 and z = −0.65; (d) to the left of z = 1.43; (e) to the right of z = −0.89; (f) between z = −0.48 and z = 1.74.
Complete Question
Given a standard normal distribution, find the area under the curve that lies
(a) to the left of z = −1.39;
(b) to the right of z = 1.96;
(c) between z = −2.16 and z = −0.65;
(d) to the left of z = 1.43;
(e) to the right of z = −0.89;
(f) between z = −0.48 and z = 1.74.
Answer:
a
[tex]P(Z < -1.39) = 0.082264[/tex]
b
[tex]P(Z > 1.96) = 0.025[/tex]
c
[tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]
d
[tex]P(Z < 1.43) = 0.92364[/tex]
e
[tex]P(Z > -0.48) = 0.68439[/tex]
f
[tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]
Step-by-step explanation:
Considering a
From the question we are told that
The z-score is z = -1.39
Generally from the z table the area under the curve that lies to the left of z = -1.39 is
[tex]P(Z < -1.39) = 0.082264[/tex]
Considering b
From the question we are told that
The z-score is z = 1.96
Generally from the z table the area under the curve that lies to the right of z = 1.96 is
[tex]P(Z > 1.96) = 0.025[/tex]
Considering c
From the question we are told that
The z-score is z = −2.16 and z = −0.65
Generally from the z table the area under the curve that lies between z = −2.16 and z = −0.65;
[tex]P(-2.16 < Z < -0.65 ) = P(Z < -0.64 ) - P( Z < -2.16)[/tex]
From the z table the area under (Z < -0.64 ) and ( Z < -2.16) is
[tex]P(Z < -0.64 ) = 0.26109[/tex]
and
[tex]P( Z < -2.16) = 0.015386[/tex]
So
[tex]P(-2.16 < Z < -0.65 ) =0.26109- 0.015386[/tex]
=> [tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]
Considering d
From the question we are told that
The z-score is z = 1.45
Generally from the z table the area under the curve that lies to the left of z = 1.43 is
[tex]P(Z < 1.43) = 0.92364[/tex]
Considering e
From the question we are told that
The z-score is z = -0.48
Generally from the z table the area under the curve that lies to the right of z = 0.48 is
[tex]P(Z > -0.48) = 0.68439[/tex]
Considering f
From the question we are told that
The z-score is z = −0.48 and z = 1.74
Generally from the z table the area under the curve that lies between z = −2.16 and z = −0.65;
[tex]P(-0.48 < Z < 1.74 ) = P(Z < 1.74 ) - P( Z < -0.48)[/tex]
From the z table the area under (Z < 1.74 ) and ( Z < -0.48) is
[tex]P(Z < 1.74 ) = 0.95907[/tex]
and
[tex]P( Z < -0.48 ) = 0.31561[/tex]
So
[tex]P(-0.48 < Z < 1.74 ) = 0.95907 - 0.31561[/tex]
=> [tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]
The standard normal table shows the mathematical table which represent the value below a z-score in standard normal distribution. It is also known as z-table.
(a) The correct answer is 0.082264.
(b) The correct answer is 0.025
(c) The correct answer is 0.2457.
(d) The correct answer is 0.68439.
(e) The correct answer is 0.6435
Given:
(a)
The z-score is z = -1.39
Refer the z-table area under the curve that lies to the left of [tex]z=-1.39[/tex],
[tex]P(Z<-1.39)=0.082264[/tex]
(b)
.The z-score is z = 1.96
Refer the z-table area under the curve that lies to the right of [tex]z=1.96[/tex],
[tex]P(Z>1.96)=0.025[/tex]
(c)
The z-score is [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex]
Refer the z-table area under the curve that lies between [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex],
[tex]P(-2.16<Z<-0.65)=P(Z<-0.64)-P(Z<-2.16)[/tex]
Thus,
[tex]P(Z<-0.64)=0.26109\\P(Z<-2.16)=0.015386\\P(-2.16<Z<-0.65)=0.26109-0.015386\\P(-2.16<Z<-0.65)=0.2457[/tex]
(d)
The z-score is [tex]z =1.45[/tex]
Refer the z-table area under the curve that lies to the right [tex]z = 1.45[/tex],
[tex]P(Z<1.45)=0.92364[/tex]
(e)
The z-score is [tex]z = -0.48[/tex]
Refer the z-table area under the curve that lies to the right [tex]z = -0.48[/tex],
[tex]P(Z>-0.48)=0.68439[/tex]
(f)
The z-score is [tex]z =-0.48[/tex] and [tex]z = 1.74[/tex]
Refer the z-table area under the curve that lies between [tex]z =-0.48[/tex] and[tex]z = 1.74[/tex],
The z table the area under [tex](Z < 1.74 )[/tex] is,
[tex]P(Z<1.74)=0.95907[/tex]
The z table the area under [tex](Z < -0.48 )[/tex] is,
[tex]P(Z<-0.48)=0.31561[/tex]
Calculate the area under the curve that lies between [tex]z =-0.48[/tex] and[tex]z = 1.74[/tex],
[tex]P(-0.48<Z<1.74)=P(Z<1.74)-P(Z<-0.48)\\P(-0.48<Z<1.74)=0.95907-0.31561\\P(-0.48<Z<1.74)=0.6435[/tex]
Thus,
(a) The correct answer is 0.082264.
(b) The correct answer is 0.025
(c) The correct answer is 0.2457.
(d) The correct answer is 0.68439.
(e) The correct answer is 0.6435
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36% of the parking spots in a parking lot are empty. There are 90 empty spots in the parking lot. How many cars can park in the lot when it is full?
Answer:
250
Step-by-step explanation:
-2 1/2 ÷ 6
divide. please only give correct answer.
Answer:
5/12 fractions form .416 for decimal form
Step-by-step explanation:
what is 6 divided by 3/5
Answer:
10
brainliest plz? tysm
Hi! I believe your answer is 10. I hope this helps you! Good luck and have a great day. ❤️ (Thank you for the free points, by the way! :))
John had a 20 ounce bottle of water. He drank 12 ounces. What percent, p, is left in the bottle?
Answer:
40%
Step-by-step explanation:
Answer:
40%Step-by-step explanation:
Original Volume = 20 ounces
Remaining Volume = 20-12
= 8 ounces
Percentage :
[tex]\frac{8}{20}\times 100\\\\=\frac{800}{20} \\\\Simplify\\\\=40\%[/tex]
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
Answer: It's about 30 times mercury diameter and close to six thousand times it's mass
Step-by-step explanation:
Answer:
Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
Just divide Jupiter's mass to Mercury.
Which of the following equations, in its simplest form, will be equivalent to 3x + 2 + (–5)?
Answer:B, x-1+x-2+x
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
ab=r+d
Solve for a
Please include work
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]ab = r + d[/tex]
Divide sides b
[tex] \frac{ab}{b} = \frac{r + d}{b} \\ [/tex]
[tex]a = \frac{r + d}{b} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Solution
5x20=7(x+2)
Sarah is ordering logo T-shirts for all students in her class to wear for a trip. The design for the logo will cost $25.She has a budget of $236 to buy 22 T-shirts. To the nearest cent, what is the most she can spend on each T-shirt?
For this arithmetic sequence 3, 8, 13, 18 … Which term of the sequence is 103?
a. 5
b. 90
c. 21
d. 20
Answer:
C
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
The formula for the sequence is 3+5i, so setting that to 103 we get
3+5i = 103
Subtract 3 from both sides, 5i = 100
Divide both sides by 5, and we get:
i = 20
The larger of two numbers is nine more than the smaller numbet. If the sum of the
numbers is 17, find the two numbers. Write your answer as two numbers separated by
a comma,
Type your answer
Answer:
x = 4
y = 13
Step-by-step explanation:
x + 9 = y--------(1)
x + y = 17---------(2)
(1) ----> (2),
x + 9 + x = 17
2x + 9 = 17
2x = 8
x = 4
y = 13
What does credit worthiness mean
Answer:
are you worthy of credit :)
Step-by-step explanation:
15 points if answered correctly
Answer:
y= 7156/317x -44488/317
Step-by-step explanation:
I put it in fraction form for you.
Which equation is graphed here?
Answer:
Y=5 X=1 multiply them bother
Step-by-step explanation:
Pamela has already taken 3 pages of notes on her own, and she will take 2 pages during each hour of class. In all, how many hour will Pamela have to spend in class before she will have a total of 33 pages of notes in her notebook?
Answer:
The answer is 15 hours for her to reach 33 pages.
Step-by-step explanation:
2+3=5.
Then,
1 hour = 5
2 hours = 7
3 hours = 9
4 hours = 11
5 hours = 13
6 hours = 15
7 hours = 17
8 hours = 19
9 hours = 21
10 hours = 23
11 hours = 25
12 hours = 27
13 hours = 29
14 hours = 31
15 hours = 33.
My hero academic if you watch it whats your fav character
Answer:
Its stupid by like todoroki =(
Step-by-step explanation:
Answer:
Bruh u already know Todoroki he reminds me of Zuko from Avatar.
Anyways have u seen The Seven Deadly Sins?
The news program wishes to test whether there is evidence that more than three-quarters of U.S. adults are opposed to the verdict. Five hundred and sixty-two partici- pants participated in the survey, of which 82% said that they were unhappy with the verdict. a. State the null and alternative hypotheses for this test. b. What is the value of the statistic
Answer:
A)Null Hypothesis; H0: p ≤ 0.75
Alternative Hypothesis; Ha: p > 0.75
B) Test statistic is z = 3.83
Step-by-step explanation:
We are told the news program wants to test whether there is evidence that more than three - quarters of U.S. adults are opposed to the verdict.
Thus, p = 3/4 = 0.75
Thus,the hypothesis is;
Null Hypothesis; H0: p ≤ 0.75
Alternative Hypothesis; Ha: p > 0.75
Also, from a sample of Five hundred and sixty - two participants that participated in the survey, 82% said that they were unhappy with the verdict.
Thus; p^ = 82% = 0.82 and n = 562
Population standard deviation is given by the formula;
σ_p = √(p(1 - p)/n)
σ_p = √(0.75(1 - 0.75)/562)
σ_p = 0.0183
Now, the formula for the test statistic is;
z = (p^ - p)/σ_p
z = (0.82 - 0.75)/0.0183
z = 3.83
A small jet can carry up to passengers and crew members. There is a weight restriction of pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of pounds, with a standard deviation of pounds. What is the probability that the weight limit will be exceeded when there are exactly passengers and crew members on board? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Complete Question:
A small jet can carry up to 41 passengers and 3 crew members. There is a weight restriction of 9200 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 197.9 pounds, with a standard deviation of 64.1 pounds. What is the probability that the weight limit will be exceeded when there are exactly 41 passengers and 3 crew members on board? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Answer:
The probability that the weight limit will be exceeded when there are exactly 41 passengers and 3 crew members on board is;
0.253
Step-by-step explanation:
a) Data and Calculations:
Capacity of the small jet = 41 passengers and 3 crew members = 44
Weight restriction = 9,200 pounds
Mean of the combined weight of passengers and crew = 8,707.6 (44 * 197.9) pounds
Weight's standard deviation = 2,802.4 (44 * 64.1) pounds
Excessive weight total = 11,528 (8,707.6 + 2,802.4)
Excess weight = Excessive weight total minus Total Weight Restriction
=2,328 (11,528 - 9,200)
Probability of exceeding weight limit = Excess weight/Weight restriction
= 2,328/9,200
= 0.253
HELP TIMED QUESTION!!plss
The quadratic function f(x)= x^2 has __
A. No zeros
B. Exactly one zero
C. Exactly two zeros
D. More than two zeros
Answer:
C. Exactly two zeros
Step-by-step explanation:
It makes a U and touches twice on the x-axis.
SHOW WORK: Evaluate g(5) with g(x)=20/x
Answer:
4
Step-by-step explanation:
g(5)=20/5
g(5)=4
Help, I’ll give the brainliest to the first one who answers, solve for x
x-4/6 = x+2/12
An accountant charges an initial fee of $100 plus a rate of $40 per hour. The function that shows the total fees charged is f(x) = 40x + 100 How many hours did the accountant work if they charged $580?
Answer:12
Step-by-step explanation:The accountant worked 12 hours
If f(x) = 5x, what is y(x)?
1. F^1(x)=-5x 2. F^1(x)=-1/5x 3. F-1(x)1/5x 4. F-1(x)=5x
Answer:
f^-1 (x) = x/5
Step-by-step explanation:
f(x) = 5x
Replace f(x) with y
y= 5x
Exchange x and y
x = 5y
Solve for y
Divide each side by 5
x/5 = 5y/5
x/5 = y
The inverse is x/5
PLEASE HELP
solve x^3= 1/8
Answer:
x=1/2
Step-by-step explanation:
C. If the apothem of a regular polygon is represented by a and the length of one side of
the polygon is represented by /, then what would be the area of one of the smaller
triangles that the shape is dissected into?
Answer:
a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star. In the limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area
Step-by-step explanation:
The area of one of the smaller triangles that the shape is dissected into is al/4.
What is a cube?It is a polygon having six faces.
The volume of a cube is side³.
We have,
The apothem of a regular polygon is given below.
From the figure,
The side length will be l.
The apothem will be a.
Now,
The area of the smaller triangle.
Base = l/2
Height = apothem = a
= 1/2 x base x height
= 1/2 x l/2 x a
= al/4
Thus,
The area of the smaller triangle is al/4.
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A set of data points has a line of best fit of ý = 2.5x - 1.5.
What is the residual for the point (2,5)?
A. 3.5
B. -1.5
C. 5
D. 1.5
the residual for points (2,5) will be 1.5.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
We have been given the best-fit line:
y = 2.5 x -1.5
We have to find residual for the point (2, 5)
To find the residual value we will subtract the predicted value from the value which is actual.
We will find the predicted from the given point so substitute x = 2 in the given line which is:
y= 2.5 x -1.5
y=2.5(2) -1.5
y=5 -1.5
y = 3.5
Hence, the predicted value is 3.5
And actual value is 5
Hence,
Residual = actual - predicted
Residual = 5 - 3.5 = 1.5
Hence, our required result is: 1.5
Therefore, the residual for points (2,5) will be 1.5.
Learn more about Linear equations here:
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Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. [ Please Show me on paper]. [ Only Answer if you truly know how to work this problem please and thank you]
I have an answer for you. This answer uses unclosed (white-center) holes to show "the value is not here" and closed (black-center) holes to show "the value is here." This step function is a "round up" of x+3, so it is exactly at y=3 at x=0.
Thank you for the Brainliest!
Which function describes this graph?
F(x)=x+2
F(x)=4x+2
F(x)=1/4x+2
