The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population standard deviation of 6.5 minutes. What proportion of the population has a commute time: a) between 11.4 minutes and 37.4 minutes? (1 pt) b) less than 11.4 minutes? (1 pt) c) greater than 37.4 minutes? (1 pt)
Answer:
1. 0.9544
2. 0.0228
3. 0.0228
Step-by-step explanation:
The computation is shown below;
As we know that
At Normal distribution
[tex]P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})[/tex]
As per the question, the data provided is as follows
Mean = 24.4 minutes
Standard deviation = 6.5 minutes
Based on the above information
P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)
= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)
= P(Z < 2) - P(Z < -2)
= 0.9772 - 0.0228
= 0.9544
2. P(X < 11.4) = 0.0228
3. P(X ≥ 37.4) = 1 - P(X < 37.4)
= 1 - 0.9772
= 0.0228
Which of the following could be the first sentence in a paragraph proof of the statement below?
If 2x + 5 = 11, then x = 3
(point)
A.The solution of the given statement is 2 = 3.
.BThe solution of the given statement is 23 + 5 = 11.
C.The given statement is x = 3.
D.The given statement is 2x + 5 = 11.
Can someone help me with this asap
Answer:
D(may not be D for everyone)
Step-by-step explanation:
The given statement is 2x + 5 = 11 :)
Statements Reasons
Given: Z1 and 22 are supplements,
23 and 24 are supplements,
and 21 24.
Prove: 22 23
m21+ m2 = 180
mZ3+ m 24 = 180
21 and 22 are
.
2124
m21+ m2 2 = m 23+
m24
23 and 24 are supp
1
Statements
Reasons
3
2.
2
1
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
got it correct edge 2021
The proof that m∠2 = m∠3 in the two column proof table is; shown in the various steps and concludes with subtraction property of equality
How to complete the two column proof?We are given;
∠1 and ∠2 are supplements
∠3 and ∠4 are supplements
∠1 ≅ ∠4
Now, since ∠1 and ∠2 are supplements, it means that;
m∠1 + m∠2 = 180° because of the definition of supplementary angles.
Since ∠3 and ∠4 are supplements, it means that;
m∠3 + m∠4 = 180° because of the definition of supplementary angles.
We are told that ∠1 ≅ ∠4
Thus;
m∠1 + m∠2 = m∠3 + m∠1 (Substitution property of equality)
Finally, we can reduce to get;
m∠2 = m∠3 (subtraction property of equality)
Read more about two column proof at; https://brainly.com/question/1788884
Using the information that
5.2 x 67 = 348.4
write down the value of
a) 52 x 67
b) 5.2 x 6.7
c) 348.4 - 52
Answer:
Below in bold.
Step-by-step explanation:
a) 52 = 5.2 * 10 so the result is 348.4 * 10 = 3484.
b) 6.7 is a tenth of 67 so the result is 348.4 / 10 = 34.84.
c) 348.4 - 52 = 296.4.
Solve the two-step equation.Analyze the solution shown.
1. –|–x| = 7: given
2. |–x| = –7: multiplication property of equality
3. –x = 7 or –x = –7: definition of absolute value
4. x = –7 or x = 7: multiplication property of equality
5. Check: –|–(–7)| = 7, –7 ≠ 7
–|–7| = 7, 7 = 7
Negative times negative is positive.
Determine the flaws in the solution.
The multiplication property of equality in Step 2 should result in |x| = 7.
The definition of absolute value is applied incorrectly. There is no solution.
The reason in Step 4 should be the addition property of equality.
The multiplication property of equality in Step 4 should result in only x = 7.
In evaluating the solutions, the absolute value should be simplified first to get a positive value.
Answer:n evaluating the solutions, the absolute value should be simplified first to get a positive value.
The definition of absolute value is applied incorrectly. There is no solution.
Step-by-step explanation:
Answer:
B&E
Step-by-step explanation:
In how many ways 5 people can sit on 5 chairs on a podium
Answer:
120 people
Step-by-step explanation:
The number of people as well as the number of chairs is 5
so that means there are exactly 120 ways in which they can be seated.
5. Danny is selling cornhole boards to raise money for a local charity. He rents a booth at the state fair for $250. He sells the boards for $45. It costs him $20 to make each board. How many boards must Danny sell to break even for the cost of renting a booth? *
Answer:
10 boards
Step-by-step explanation:
$450-$250=$200. $20 * 10 boards = $200. $200-$200=0.
Therefore the answer is 10 boards
Answer:10
Step-by-step explanation:
Jennie has 160 stuffed bears in her collection. She is storing her collection of bears in containers that
hold 20 stuffed bears. So far, she has already filled 5 containers. How many stuffed bears have not been
put in a container for storage?
What is 10 to the -6th powert 10^-6 a. 0.000001 b. 100000 c. 1000000 d. 0.0000001 Easy points for you guys
Answer:
The answer is D
Step-by-step explanation:
When the exponent is negative then you go in to decimals
Answer:
since its a negative number you need to to go to the decimals> therefore the answer would be (D)
Write an expression for one-sixth of 4x
Answer:4x=1/6
because of how its written you would be multiplying 4x by 1/6 if they asked you to solve it. but since they asked you to write the equation all you have to do is put 4x on one side of the equal sign and 1/6 on the other so if they ask you to solve it all you have to do is multiply both sides by 1/6
Jorge walks 1 mile in 1 hour. In 2 hours at the same pace, Jorge can walk ____ yards.
Answer:
.
Step-by-step explanation:
What is the mode of the set of data?
12, 13, 4, 8, 9, 13, 2, 15, 7, 2, 9, 13, 6
Answer:
13
Step-by-step explanation:
this is because you have to look for the most common number
The new 2009 seven character has Texas licence plate is now in use. The
ОЕ
format of the new issue is BC1 - D234. How many licence plate numbers
can Texas assign unde the new system? (Assume there are no restrictions)
*
Answer:
gagahshshshshs
Step-by-step explanation:
shshhshshshshhshshhshshhhshs
Can someone please answer this question. It’s not very difficult but I need to be certain I have the correct answer.
Answer:
12m^2(a)
Step-by-step explanation:
Multiply 3m by 4m for a paralolegram.
(l*w)
Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x? RootIndex x StartRoot 8 EndRoot Superscript x 8 Superscript StartFraction 3 Over x EndFraction 8 Superscript StartFraction x Over 3 EndFraction 8 Superscript 3 x
Answer:
Option 3: 8 Superscript StartFraction x Over 3 EndFraction
Step-by-step explanation:
RootIndex 3 StartRoot 8 EndRoot Superscript x
∛8ˣ = [tex]8^{x/3}[/tex]Options:
RootIndex x StartRoot 8 EndRoot Superscript x
[tex](\sqrt[x]{8})^x[/tex] incorrect8 Superscript StartFraction 3 Over x EndFraction
[tex]8^{3/x}[/tex] incorrect8 Superscript StartFraction x Over 3 EndFraction
[tex]8^{x/3}[/tex] correct8 Superscript 3 x
[tex]8^{3x}[/tex] incorrectAnswer:
C. 8 [tex]\frac{x}{3}[/tex]
Step-by-step explanation:
Just got it right on edge
Using the graph below which coordinates locate the reflection of point R over the given line?
Answer:
(-4, 0)
Step-by-step explanation:
You can plot the points and choose the one that looks like it's in the right place for a reflection across the line. The line of reflection will be the perpendicular bisector of the segment between R and its image.
In the attached plot, we see that the third choice (point C) is the desired image of R.
find the slope that passes through each pair of points. no decimals and simplify fractions.
(4,-2) and (3,-2)
Slope formula: y2-y1/x2-x1
We can use the points given to solve.
-2-4/3-(-2)
-6/5
Best of Luck!
6 over 7 subtracted by 1 over 7
Answer:
5/7
Step-by-step explanation:
6/7-1/7=5/7
The answer is 6/7 - 1/7 = 5/7
Step by step explanation is in the image below. :)
What is the domain of the function y=3 sqt x-1
Answer:
[1,∞) - All real numbers greater than or equal to 1
Step-by-step explanation:
The answer is [tex]x\geq 1[/tex] or 1, ∞
While sitting in class you overheard one of your classmates say, "This equation has infinite solutions, because when I put it in Desmos it gave me parallel lines so I know it makes a conditional equation." Realizing that the student is incorrect, what would you say to help your classmate get their facts straight?
Answer:
See below
Step-by-step explanation:
The systems of linear equations represent two lines.
There are 3 possible outcomes with two lines on the plane.
1. Lines intersect
In this case there is one solution, which is the point of intersection.2. Lines are parallel
In this case the lines never intersect, so there is no solution2. Lines are same
In this case the lines overlap, so there are infinitely many solutions.can someone help me please
Answer:
you end up with 75 divided by 3.
Step-by-step explanation:
75 divided by 3 - 8 + 8
add 60 and 15
3 - 2(4) + 2^3
multiply -2 by 4
3 - 8 + 2^3
multiply 2 by itself 3 times
3 - 8 + 8 (which gives you 3 again)
and you get 75 divided by 3
7/9 greater or less than 0.7777
We can conclude that 7/9 is equal to 0.777.
What mathematical operations are exactly?Calculating a value while utilizing operands and a math operator is known as a mathematical "operation."The supplied operands or numbers must follow specific guidelines that are associated with the symbol for the math operator.Addition, subtraction, multiplication, division, exponentiation, and modulus are all operations carried out by arithmetic operators.So, we need to solve 7/9 to know if it is greater, less, or equal to 0.777.
7/9 = 0.7777So, 7/9 is equal to 0.777(Refer to the image attached below for calculation)
Therefore, we can conclude that 7/9 is equal to 0.777.
Know more about mathematical operations here:
brainly.com/question/20628271
#SPJ1
four times the sum of a number and ten
Answer:
0.75=n
Step-by-step explanation:
10=4n+7
-7 -7
3=4n
divide by four
0.75=n
your welcome :)
Which is the best answer for how many
word Lucy can type in 27 minutes?
Answer:
i need more information to answer this question
Step-by-step explanation:
Can someone make an subtraction problem (integers) I’ll mark brainliest
Subtracting Integers
Subtract +9 - +4 =
Add The Opposite +9 + -4 =
Result +5
what is the approxiamate Square Root of 32?
Answer:
4^2
Step-by-step explanation:
Solve for x: -4x – 18 = 22
Answer:
x=-10
Step-by-step explanation:
4/5 x (-2/9) (as a fraction) (simplified)
Answer:
[tex]-\frac{8}{45}[/tex]
Step-by-step explanation:
So when multiplying fractions, you would multiply the numerator of the first fraction by the numerator of the second fraction and make that product the numerator of the resulting fraction and multiply the denominator of the first fraction by the denominator of the second fraction and make that product the denominator of the resulting fraction. In other words:
[tex]\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}[/tex]
So lets multiply the two fraction together:
[tex]\frac{4}{5}*(-\frac{2}{9})==-(\frac{4*2}{5*9})=-\frac{8}{45}[/tex]
So now we found the product. Now we have to try to try to simplify the fraction. To do this, we must find the GCF of the numerator, 8, and the denominator, 45.
Factors of 8: 1, 2, 4, 8
Factors of 45, 1, 3, 5, 9, 15, 45
As we can see, the GCF of 8 and 45 are 1. The fraction is simplified as much as possible.
I hope you find my answer and explanation to be helpful. Happy studying. :)
Please help it’s easy!2nd time asking
Choose the equation that represents this situation. Use wto represent the
variable.
Blaise spends 4 hours each week jogging at the track. This is three times the
amount of time he spends working out in the weight room. How much time
does he spend in the weight room each week?
A.3w=4
B.w=3•4
C.3+w=4
D.4w=3
Answer:
A: 3w=4
Step-by-step explanation:
4hrs= time at track
track= three times weight room
3times weight room = 4
Solve for w: -4u-w = u+6w
Answer:
A
Step-by-step explanation:
-4u - w = u + 6w
-4u = u + 7w (Add w to both sides)
-5u = 7w (Subtract u from both sides)
w = [tex]-\frac{5u}{7}[/tex] (Divide both sides by 7)
Answer:
w=(-5u)/7
Step-by-step explanation:
-4u-w=u+6w
Combine like terms
-4u-u=6w+w
-5u=7w
Divide both sides by 7 to cancel it out on the right side and isolate w
(-5u)/7=(7w)/7
(-5u)/7=w
w=(-5u)/7
I hope this helps! If it did, a brainliest would be much appreciated :)