The speed at which you can log into a website through a smartphone is an important quality characteristic of that website. In a recent test, the mean time to log into the JetBlue Airways website through a smartphone was 4.237 seconds. Suppose that the download time is normally distributed, with a standard deviation of 1.3 seconds. What is the probability that the download time is:
A. Less than 2 seconds?
B. Between 1.5 and 2.5 seconds
C. Above 1.8 seconds
D. 99% of the download times are slower (higher) than how many seconds?
E. 95% of the download times are between what two values, symmetrically distributed around the mean?
F. Suppose that the download times are uniformly distributed between 1 and 9 seconds. What are your answers to A through C?
Answer:
A.) 0.0426
B) 0.073121
C.) 0.96958
D.) 1.2 seconds
E.) 1.689 < x < 6.785
Step-by-step explanation:
Given a normal distribution :
Mean download time (m) = 4.237 seconds
Standard deviation (s) = 1.3 seconds
A.) Probability that download time is less than 2 seconds :
P(x < 2)
Obtain standardized score (Z) :
Z = (x - m) / s
Z = (2 - 4.237) / 1.3
Z = −1.720769
P(Z < - 1.7208) = 0.0426 (Z probability calculator)
B.) Between 1.5 and 2.5 seconds :
1.5 < z < 2.5
((x - m) / s) < z <((x - m) / s)
((1.5 - 4.237) / 1.3) < z < ((2.5 - 4.237) / 1.3)
−2.105384 < z < −1.336153
P(Z < - 2.10538) = 0.017629
P(Z −1.336153) = 0.09075
0.09075 - 0.017629 = 0.073121
C.) Above 1.8 seconds
P(x > 1.8)
Obtain standardized score (Z) :
Z = (x - m) / s
Z = (1.8 - 4.237) / 1.3
Z = −1.874615
P(Z > −1.874615) = 0.96958 (Z probability calculator)
D.) 99% of the download times are slower (higher) than how many seconds?
P(Z > x) = 99% = 0.99
Z value corresponds to -2.326
Z = (x - m) / s
-2.326 = (x - 4.237) / 1.3
-2.326 * 1.3 = x - 4.237
−3.0238 = x - 4.237
−3.0238 + 4.237 = x
x = 1.2132
x = 1.2 seconds
E. 95% of the download times are between what two values, symmetrically distributed around the mean?
For symmetric distribution around the mean ;
P(-Z<x<Z) = 0.95
Corresponds to a z value of 1.96
-1.96 * 1.3 = x - 4.237
-2.548 = x - 4.237
x = - 2.548 + 4.237
x = 1.689
1.96 * 1.3 = x - 4.237
2.548 = x - 4.237
x = 2.548 + 4.237
x = 6.785
1.689 < x < 6.785
helppppp please I will give brainliest
Answer:
-3/4
Step-by-step explanation:
Answer:
B. 4/3
Step-by-step explanation:
The slope is rise over run or the change in y over the change in x. To find the slope count how many units y increases by then divide that by how many units x increases. In this graph y goes up by 4 and x increases by 3, so 4/3. Another way to find slope is the slope formula which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], then plug in any two points and solve them.
Solve the inequality: 13 – n + 2n > 9
Answer:
n > -4
Step-by-step explanation:
1) Combine like terms.
13 + n > 9
2) Isolate n. (subtract 13 from both sides)
n > -4
Lola used 2 1/2 ink cartridges while her friends used 1 3/4 ink cartridges. How many more ink cartridges did Lola use than her friends
Answer:
Lola used 3/4 more ink cartridges than her friends
Step-by-step explanation:
Please help someone last one
Answer:
a in table → b on number line
b in table → c on number line
c in table → a on number line
Step-by-step explanation:
Here, we see the points are square roots. A square root of a number is a value, that when multiplied by itself, gives the number. For example, 4 × 4 = 16, so the square root of 16 is 4.
We can apply this logic easily by simplifying the square root, or multiplying integers with each other (aka "squaring" the integers) and seeing which result is closest to the value inside the square root.
Simplifying the square root won't help here, if we don't know basic values such as √3 or √2. So, we can just multiply an integer with itself and see if that value is closer to the value inside the square root.
For point a, we see the number inside the root is 27. We can start multiplying:
1×1 = 12×2 = 43×3 = 94×4 = 165×5 = 256×6 = 3625 is the closest value to 27 here. So, we know the point is somewhere around 5, and since 27 is slightly larger than 25, the point is slightly larger than 5. So, point a in the table is most likely point b on the number line.
For point b, we see the number inside the root is 32. We can start multiplying:
1×1 = 12×2 = 43×3 = 94×4 = 165×5 = 256×6 = 3636 is the closest value to 32 here. So, we know the point is somewhere around 6, and since 32 is smaller than 36, the point is lesser than 6. So, point b in the table is most likely point c on the number line.
For point c, we see the number inside the root is 16. We can start multiplying:
1×1 = 12×2 = 43×3 = 94×4 = 1616 is right on the dot! That means that the square root of 16 is 4, which leaves us with point a on the number line.
Choose True or False for each statement.
Column A
1.
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.:
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.
2.
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.
3.
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.
4.
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.
please help me im so lost
Answer:
5x + 1
Step-by-step explanation:
f(x) = 3x + 2
g(x) = - 2x + 1
f(x) - g(x) = 3x + 2 - ( - 2x + 1 ) = 3x + 2 + 2x - 1 = 5x + 1
Let A represent reading newspaper and represent watching television
Which statement is true?
Watching television and and reading newspaper are independent events because P(AB) + P(A) and
PBAP(B)
Watching television and reading newspaper are not independent events because P(AB)=P(A) and
P(BA) - P(B)
Watching television and reading newspaper are independent events because P(AB) = P(A) and P(BA) = P(B).
Watching television and reading newspaper are not independent events because P(AB) + P(A) and
P(BA) = P(B)
Lo
Answer:
in the picture
Step-by-step explanation:
Jim walks 6/7 of a mile every day. Russell walks 1/4 of a mile. How much farther does Jim work than Russell.
Answer:
Jim walked 17/28 for miles than Russel
Step-by-step explanation:
First you turn 6/7 and 1/4 to have the same denominators. In that case you find the least common multiple which is 28.
7: 7, 14, 21, 28
4: 4, 8, 12, 16, 20, 24, 28
Next you multiply the top and the bottom of your fraction my the factor you used to get 28 for your denominator
6/7 x 4/4 = 24/28
1/4 x 7/7 = 7/28
Lastly, you subtract the products you got.
24/28 - 7/28 = 17/28
Lae bought grapes for $1.50 per pound.
Answer:
Where is the question or is that it?
1.Use the numbers in the table to create
Ordered pairs
2.Pounds are graphed on the x - axis
3.Plot the ordered pairs on the graph
4.Draw a straight line that starts at the origin and connects all the points
Jacob ate 21 chips ahoy cookies in 1 hour and Bryant ate 25 chips ahoy cookies in the same time, at this rate, how mant whole cookies could Bryant eat in 80 minutes
Lines A and B are parallel lines. Find the measures of
angles 1, 2 and 3.
a. m21=
b. m 2 =
C. m3 =
What are the degrees of these three angles
plzzzz hurry
Answer:
A. M<1=33
B. M<2=90
C. M<3=57
Step-by-step explanation:
I hope this helps you good day guys Merry Christmas!!! :)
1. Solve for m for the following equation
- (2 m + 8) > 4(10 - m )?
Options are:
- is
- is not
Answer:
Not constant
Step-by-step explanation:
it is not constant. lol
I need help with four answers! Will mark brainliest : )!
Q.1:Which symbol replaces the box to make the statement true?
4⋅16−16□4⋅[24−2⋅(4+8)]
Q.2: Which expression has a value less than the given expression when x = 5?
3x + 15
-----------------------------------
Answers options:
2x²
x² + 5
3(x + 5)
4x + 5
Q.3:Let m = 4 and n = 5.
Select from the drop-down menu to create a true statement.
4m+4n = 2m2+
----------------------------
Answer options:
M
N
MN 2
Q.4: Which expression completes the statement to form a true equation?
28–3+2=
----------------------------------------------------
Answer options:
3³
5(4 + 2)
3² + 19
44–24
Answer:
Q1:=
Q2:4x+2
I believe question 3 is MN 2
3^3
U A cube is a rectangular prism whose edge lengths are all the same.
What is the volume of a cube with an edge length of 2 feet? Circle
the letter of the correct answer.
A 4 cubic feet
B 6 cubic feet
C 8 cubic feet
D 12 cubic feet
Danny chose B as the correct answer. How did he get that answer?
find the inverse of the function y equals x squared minus 12
Answer:
Step-by-step explanation:
y=x^2-12
The inverse is
√x+12, -√x+12
. Part A: Under a dilation of scale factor 3 centered at the origin, AB becomes A'B'. Determine the coordinates of A'B' and sketch A'B' on the graph. 1 Part B: Under a dilation of scale factor - centered at the origin, AB becomes DC. Determine the coordinates of DC and sketch DC on the graph.
Answer:
Step-by-step explanation:
Part A.
Coordinates of A and B are,
A(-2, 2) and B(3, 2)
Rule for dilation of a point (x, y) by a scale factor k about the origin,
(x, y) → (kx, ky)
If the points A and B are dilated by a scale factor 3, image points will be,
A(-2, 2) → A'(-6, 6)
B(3, 2) → B'(9, 6)
Part B.
Following the same rule of dilation about the origin by a scale factor of [tex]\frac{1}{2}[/tex] about the origin,
A(-2, 2) → D(-1, 1)
B(3, 2) → [tex]C(\frac{3}{2},1)[/tex]
Please help! I need the answer quick. The picture attached ^
Answer:
[tex]6p+4q=r\\\\4q = r-6p[/tex]
[tex]q = \frac{r}{4} -\frac{6}{4}p \\\\q = \frac{r}{4} -\frac{3}{2}p[/tex]
Nicki's class needs to raise 89.45 in order to have a pizza party so far she has 69.90 how much more money does Nicki's class need to buy the pizza party?
A survey is to be conducted using a random sample of citizens in a town,
asking them if they support raising taxes to increase funding for the public school. Write the question in a way that is likely to bias the results toward more yes answers. Write the question in a way that is likely to bias the results toward more
no answers.
Answer:
yes i do
Step-by-step explanation:
A survey that asks readers to return the survey would result in voluntary-response bias
What is voluntary response bias?When the response to a survey by a reader is not influenced by the author or the questioner of the survey the response sent by the reader is going to be a voluntary response.
In a voluntary response, the response is void of external influence therefore the reader gives his/her honest opinion without the external/Questioner's bias
Allowing your sample to self-select skews your data and prevents you from getting accurate results that are representative of your entire population, which is what is meant by voluntary response bias.
Hence we can conclude that a survey that asks readers to return the survey would result in voluntary response bias.
learn more about voluntary response bias:
brainly.com/question/26430204
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Which of the following is a polynomial with roots 5, -6, and 7? (2 points)
The answer would be C
Answer:
the answer is C
Step-by-step explanation:
CAN YOU PLEASE HELP ME WITH THIS );
Answer:
Across
5 across: percent of change
6. Ratio
7. Decrease
Down.
1. Percent
2 interest
3 proportion
4 sales tax
Step-by-step explanation:
put 1.12 2.10 3.11.40 4.10.48 5.10.95 6.10.72 7.11.53 in a number line
Answer:Add them up
Step-by-step explanation:
Sarah has saved 254 pound coins. She puts the pound coins into bags.
There are 20 pound coins in each full bag of coins. Sarah is going to take all her full bags of coins to the bank.
She can only take up to 5 full bags of coins to the bank each day.
Sarah wants to go to the bank on as few days as possible.
On how many days will Sarah need to go to the bank?
Answer:
Step-by-step explanation:
So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!
Hope it helps
What is k? (the problem is a picture (attached to this post))
Answer:
K=4
Step-by-step explanation:
Step 1: Multiply both sides by k-3
Step 2: Add 9 to both sides
Step 3: Divide both sides by 3
Order the numbers from least to greatest
Answer:
-5.5, -3.75, 9/4
Step-by-step explanation:
9/4 is 2.25 so this is your answer.
Answer:
-5.5, -3.75, 9/4
Step-by-step explanation:
The polynomial p is a function of x. The graph of p has four zeros at -4, -2/3, 0, and 9
Select all the expression that could represent p.
A
-3x(x + 4)(3x + 2)(x - 9)
B
3x(x – 4) (x + 3)(x +9)
с
3x(x + 4)(2x - 3)(x -9)
D
- x(x + 4) (x + })(x – 9)
E
-3x(x + 4)(3x + 2)(x - 9)2
The only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]
Given the four zeros of the graph of p are at:
-4, -2/3, 0, and 9From the options given, the expression in option A will represent a function of a polynomial p with zeros at -4, -2/3, 0, and 9.
Here's why:
[tex]-3x(x + 4)(3x + 2)(x - 9)[/tex] (option A)
Therefore are four factors in the polynomial above which are:
[tex]3x\\\\(x + 4)\\\\(2x - 3), $ and\\\\(x -9)[/tex]
The zeros of polynomial p will be the following:
[tex]3x = 0\\\\x = \frac{0}{3} \\\\\mathbf{x = 0}[/tex]
[tex](x + 4) = 0\\\\\mathbf{x = -4}[/tex]
[tex](3x + 2) = 0\\\\3x = -2\\\\\mathbf{x =-\frac{2}{3}}[/tex]
[tex](x -9) = 0\\\\\mathbf{x = 9}[/tex]
Therefore, the only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]
Learn more here:
https://brainly.com/question/3166764
What is the correct number form for “one and twenty-five thousandths.”
The correct number form for “one and twenty-five thousandths.” is 1.025.
What is a place value?A place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.Twenty-five (25) thousandths as a decimal can be written as follows:
Decimal = 25/1000
Decimal = 0.025.
Combining the word sentence "one and twenty-five thousandths," we have:
Number = 1.025.
Read more on place value here: brainly.com/question/569339
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what is the decimal for 17 40
please explain
Answer:
17.40
Step-by-step explanation:
no