Answer:
The answer is "About 421.6 and 578.4 the middle of 95% of both the wires of the A business checked".
Step-by-step explanation:
The Mean = Median = Mode= 500 for company A
It also will see company A as a regular delivery
Mean > Median > Mode for the business B
Company B would seem to have a correct warped delivery
The value of Z varies in the center of 95% of the wires: [tex](-1.96\ \ from \ \ 1.96)[/tex]
[tex]\text{The lower bound} = Mean - 1.96 \times \sigma[/tex]
[tex]= 500 - 1.96 \times 40 \\\\= 500 - 78.4\\\\= 421.6[/tex]
[tex]\text{The upper limit = Mean} + 1.96 \times \sigma[/tex]
[tex]= 500 + 1.96 \times 40 \\\\= 500 + 78.4 \\\\= 578.4[/tex]
Please help!!! Pedro simplifies.....
What is the slope of the line with equation y-3=- 7(x-2)?
Answer:
-7
Step-by-step explanation:
Remember y = mx + b and m is the slope. Just convert to this form and identify the m.
y-3=- 7(x-2)
y - 3 = -7x + 14
y = -7x + 17
A restaurant bill was 105.99 and six people decide to pay an equal amount how much will one person pay?
Answer:
$17.67
Step-by-step explanation:
HELPP
simplify.
(1-x/y) / ( 1-x^2/y^2)
1. X/y
2. 1/y+x
3. Y/y+x
Answer: y/y+x
Step-by-step explanation:
Answer:
y/(x + y)Step-by-step explanation:
Simplifying
(1-x/y) / ( 1-x^2/y^2)=(1-x/y)/(1+1/y)(1-x/y) = 1/(1 + x/y) =1/(x + y)/y =y/(x + y)Correct option is the last one
what is the measure of
The angle of NPR is 130°
First, set up an equation to find x.
[tex](3x-10)+2x+65=180[/tex]
Then, solve the equation for x.
[tex]x=25[/tex]
Then, substitute 25 in for x in 2x
50
Finally, subtract 50 from 180 to find the angle of NPR
130°
approximate the square root of 12 to the nearest integer helppppppp!!!!!!!!
Answer:
3
Step-by-step explanation:
Well the square root of 12 is 3.464 and 12 squared is 144, and an intiger is a whole number no decimal or fraction. So round 3.464 to the nearest whole is 3. Hope this helps(:
Explain your answer!
Answer:
40 words
Step-by-step explanation:
120 words/3 minutes is the same as 120 divided by 3
so, you divide 120 by 30 and you get 40 words per minute
Answer:
Step-by-step explanation:
We are going to make a questioning. Look:
If in 3 minutes she can type 120 word
In 1 min how many will she type X
We adopt X as a thing witch we don't know. This forms a Rule of three. It happens when we have got 3 values but miss us 1 yet.
Generraly you'll sort the values by type. In this case, I put minutes under minute and words under words.
A Fast way to solve is: multiply where there is not an incognt (1*120) and divide by what left (3)
So:
1*120=120
Divided by 3 (120/3) it's equals 40 words per minute.
Good studies!
-ZehTheJohn
what is 32.804 in expanded form?
Answer:
32.804
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
30
+ 2
+ 0.8
+ 0.00
+ 0.004
Expanded Factors Form:
3 × 10
+ 2 × 1
+ 8 × 0.1
+ 0 × 0.01
+ 4 × 0.001
Expanded Exponential Form:
3 × 101
+ 2 × 100
+ 8 × 10-1
+ 0 × 10-2
+ 4 × 10-3
Step-by-step explanation:
Anne thinks of a number. Brenda also thinks of a
number. Anne multiplies her number by Brenda's
and then squares the answer. If a represents Anne's
number and b represents Brenda's number, which
expression represents her answer?
Anne's number is a
Brenda's number is b
_________________________________
Anne multiplies her number by Brand's :
[tex]a \times b[/tex]
_________________________________
Then squares the answer :
[tex] ({a \times b})^{2} [/tex]
_________________________________
The expression which represents her answer is :
[tex] {a}^{2} \times {b}^{2} [/tex]
A fireman spots a stranded woman in the window of a 200-foot tall office building. From the
point where the fireman is standing, the angle of elevation to the stranded woman is 42° 33'
and to the top of the building is 58° 6'. How far from the ground is the stranded woman?
Answer:
114.3 foot
Step-by-step explanation:
Height of building,h=200 foot
Let BC=x
[tex]tan\theta=\frac{perpendicular\;side}{base}[/tex]
Using the formula
[tex]tan(58^{\circ} 6')=\frac{200}{CD}[/tex]
[tex]CD=\frac{200}{tan(58^{\circ} 6')}[/tex]
[tex]CD=124.5 foot[/tex]
Now,
[tex]\frac{BC}{CD}=tan(42^{\circ}33')[/tex]
[tex]\frac{x}{124.5}=0.9179[/tex]
[tex]x=124.5\times 0.9179[/tex]
[tex]x=114.3 foot[/tex]
Hence, the distance of woman from the ground=114.3 foot
The ground is 123.24 ft far from the stranded woman.
Given the total height of the office building is 200 ft.
And the angle of elevation of the top of the building is 58° 6' and the angle of elevation to the stranded woman is 42° 33'.
We know that, from trigonometric ratios,[tex]tan \theta =\frac{perpendicular}{base}[/tex]
here [tex]\theta[/tex] is the angle of elevation of the top of the building from the fireman.
Now, [tex]tan ( 58^{0} 6')[/tex][tex]=\frac{200}{base}[/tex]
[tex]1.488=\frac{200}{base}[/tex]
[tex]base=\frac{200}{1.488}[/tex]
[tex]base=134.40[/tex] ft
Now the woman is stranded in the window of the building say at the height of h ft, and the angle of elevation of the woman from the fireman is 42° 33'.
So, [tex]tan (42^{0} 33')[/tex][tex]= \frac{perpendicular}{base}[/tex]
[tex]tan(42^{0} 33' )= \frac{h}{134.40}[/tex]
[tex]0.917=\frac{h}{134.40}[/tex]
[tex]0.917\times134.40=h[/tex]
[tex]h=123.24 ft[/tex]
Hence the ground is 123.24 ft far from the stranded woman.
For more details on angle of elevation follow the link:
https://brainly.com/question/12483071
The student scores on a history test are normally distributed with an unknown population mean and standard deviation A random sample of 38 scores is taken and results in a sample mean of 85 points and sample standard deviation of 4 points. dr 0,10 0.0 0.025 0.01 0.005 3 1.306 1.690 2.030 2.438 2.724 1.306 1.688 2.028 2.434 2.719 1.305 1687 2.026 2.431 2.715 1.304 1.686 2.024 2.429 2.712 1.304 1685 2.023 2.426 2.708
Find a 90% confidence interval estimate for the population mean using the Student's distribution . Round the final answers to two decimal places.
Answer:
The 90% confidence interval = (83.9, 86.1)
Step-by-step explanation:
The formula for confidence interval =
Mean ± z × standard deviation/√n
From the question:
n = 38
Mean = 85 points
Standard deviation = 4 points
Z score for 90% confidence interval = 1.645
85 ± 1.645 × 4/√38
85 ± 1.067416951
Confidence Interval =
85 - 1.067416951
= 83.932583049
≈ 83.9
85 + 1.067416951
= 86.067416951
≈ 86.1
Therefore, the 90% confidence interval = (83.9, 86.1)
The work shows the first steps for writing a partial fraction decomposition.
Which equations can be used in a system of equations to solve for the unknowns. Check all that apply.
A = 0
xxxB = 0
xxxxD = –5
xxxxA + C = 0
2A + 2B = 4
it's B C D the three in the middle
Answer:
B C D
Step-by-step explanation:
Partial fraction decomposition involves breaking down algebraic fractions into smaller piece.
The equations that can be used are:
[tex]\mathbf{B = 0}[/tex] , [tex]\mathbf{D= -5}[/tex] and [tex]\mathbf{A + C = 0}[/tex]
From the question. we have:
[tex]\mathbf{4x^3 - 5 = 2Ax^3 +Ax + 2Bx^2 + B + Cx + D}[/tex]
Collect like terms
[tex]\mathbf{4x^3 - 5 = 2Ax^3 + 2Bx^2 +Ax + Cx + B + D}[/tex]
Compare both sides, using the power of x
[tex]\mathbf{4x^3 = 2Ax^3}[/tex]
[tex]\mathbf{- 5 = B + D}[/tex]
[tex]\mathbf{0 = 2Bx^2 }[/tex]
[tex]\mathbf{0 =Ax + Cx }[/tex]
Divide both sides of [tex]\mathbf{4x^3 = 2Ax^3}[/tex] by 2x^3
[tex]\mathbf{A = 2}[/tex]
Divide both sides of [tex]\mathbf{0 = 2Bx^2 }[/tex] by 2x^2
[tex]\mathbf{B = 0}[/tex]
Divide both sides of [tex]\mathbf{0 =Ax + Cx }[/tex] by x
[tex]\mathbf{A + C = 0}[/tex]
Substitute [tex]\mathbf{B = 0}[/tex] in [tex]\mathbf{- 5 = B + D}[/tex]
[tex]\mathbf{D= -5}[/tex]
Hence, the equations that can be used are:
[tex]\mathbf{B = 0}[/tex]
[tex]\mathbf{D= -5}[/tex] and
[tex]\mathbf{A + C = 0}[/tex]
Read more about partial fraction decomposition at:
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Jonathan will run a 614-mile relay with 4 other team members, where each team member runs an equal distance. How many miles will Jonathan run?
Answer: Jonathan will rum [tex]1\dfrac14\text{ mile}[/tex] .
Step-by-step explanation:
Given: Total distance to run =[tex]6\dfrac14[/tex] miles [tex]=\dfrac{25}{4}[/tex] miles
Total members = 1+4 = 5
if each member runs equal distance.
Then, each member will run = [tex]\dfrac{\text{Total distance}}{\text{Total members}}[/tex]
[tex]=\dfrac{\dfrac{25}{4}}{5}\\\\ \lim_{n \to \infty} a_n =\dfrac{25}{4\times5}\\\\=\dfrac{5}{4}\\\\ = 1\dfrac14 \text{miles}[/tex]
Hence, Jonathan will rum [tex]1\dfrac14\text{ mile}[/tex] .
how many times do 14 go into 50
A camp counselor has 605 campers to divide into 11 teams. How many campers are on each team?
Answer: 55
Step-by-step explanation:
The answer fam is........ 55
How to factor this polynomial
Step-by-step explanation:
6x^7 + 3x^4 - 9x^3
3x^3 (2x^4 + x - 3) ??
An environmental group is interested in what percentage of Americans consider climate change an immediate threat to humanity. From a representative list of 20677 American citizens, they randomly sampled 30; all responded to their questions. They will consider the sample proportion of respondents that agree climate change is an immediate threat to humanity. Previously, 35% of Americans considered climate change an immediate threat to humanity; assume this has not changed.
1. Is it appropriate to use normal distribution to describe the sampling distribution of sample proportion?
a. Yes, because 10.5 and 19.5 are greater than 10.
b. Yes, because 30 American citizens were sampled.
c. No, because this problem concerns the sample proportion instead of the population proportion.
d. No, because the sampling distribution is skewed.
2. Calculate the probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%
Answer:
(1) Yes, because 30 American citizens were sampled.
(2) The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is 0.50.
Step-by-step explanation:
We are given that from a representative list of 20677 American citizens, they randomly sampled 30; all responded to their questions.
Previously, 35% of Americans considered climate change an immediate threat to humanity; assume this has not changed.
(1) Yes, it is appropriate to use a normal distribution to describe the sampling distribution of sample proportion because 30 American citizens were sampled.
(2) The z-score probability distribution for the sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of Americans who agree climate change is an immediate threat to humanity
p = population proportion of Americans who considered climate change is an immediate threat to humanity
n = sample of American citizens = 30
Now, the probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is given by = P([tex]\hat p[/tex] > 35%)
P([tex]\hat p[/tex] > 35%) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] > [tex]\frac{0.35-0.35}{\sqrt{\frac{0.35(1-0.35)}{30} } }[/tex] ) = P(Z > 0) = 0.50
The above probability is calculated by looking at the value of x = 0 in the z table which has an area of 0.50.
Hence, the required probability is 0.50.
Using the normal distribution and the central limit theorem, it is found that:
1. a. Yes, because 10.5 and 19.5 are greater than 10.
2. There is a 0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], 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.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
A sample of 30 is taken, hence n = 30.35% of Americans considered climate change an immediate threat to humanity; assume this has not changed, hence p = 0.35.Item 1:
We verify the condition, hence:
[tex]np = 30(0.35) = 10.5[/tex]
[tex]n(1 - p) = 30(0.65) = 19.5[/tex]
Hence option a is correct.
Item 2:
The mean and the standard error are given by:
[tex]\mu = p = 0.35[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.35(0.65)}{30}} = 0.087[/tex]
The probability is 1 subtracted by the p-value of Z when X = 0.35, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.35 - 0.35}{0.087}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
1 - 0.5 = 0.5.
0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
May yall help me with this
Answer:
36= 12, 16=48, 28=84
Step-by-step explanation:
12/4=3, so you would multiply 3 x the pages to get the minutes. Or divide 3 by the minutes to get the pages.
minutes - 12, 36, 48, 84
pages read - 4, 12, 16, 28
whats 9+10
looking for the right answer
Answer:
21 :)
Step-by-step explanation:
Simplify the expression. Give your answer using a positive exponent.
8^-2
Which of the following correctly translates this equation?
A.5x+7= 10x - 3
Five times a number increased by 7 is 10 times the same
number subtracted from 3
B.The product of 7 and a number plus 5 is 10 times the same
number minus 3
C.Five times a number plus 7 is 3 less than 10 times the same
number
D.Seven more than 5 times a number is the product of 3 and
the same number decreased by 10
Answer:
C
Step-by-step explanation:
five times a number = 5x
plus 7 = 5x+7
is 3 less 10 times the same number = 10x - 3
Which number is 247,039 rounded to the nearest thousand? *
200,000
Answer:
247,000
Step-by-step explanation: Because the 7 rounds off the 0 and its a 0 so the 7 stays the same
Which of the given values is a solution to the equation 5c – 5 = -50 – 7?
Answer:
[tex]c=-10.4[/tex]
[tex]c=-\frac{52}{5}[/tex]
Step-by-step explanation:
Hello! You did not provide given values, but we can go through this together without any given choices.
Start with:
[tex]5c-5=-50-7[/tex]
Combine like terms:
[tex]5c-5=-57[/tex]
Add [tex]5[/tex] to both sides of the equation:
[tex]5c=-52[/tex]
Divide both sides of the equation by the coefficient of [tex]c,[/tex] which is [tex]5[/tex]:
[tex]c=-10.4[/tex]
- or -
[tex]c=-\frac{52}{5}[/tex]
How to do word problems
Answer:
Read the problem out loud to yourself.
Draw a Picture.
Think “What do I need to find?”
List what is given.
Find the key words.
Solve.
Check your work.
Step-by-step explanation: Hopefully this helped!
PLZZ ANSWER THE QUESTION
Answer:
Its either A or B and I'm pretty sure its B. I know its definitely not C or D
Step-by-step explanation:
Evaluate each expression.
x = 2
y = 4
z = 8
1. xy
10
2. x + z
8
3. z - y
4
4. x + y + z
14
Answer:
1=8
2=10
3=4
4=14
Step-by-step explanation:
I need help with this
Answer:
x = -9
Step-by-step explanation:
The attachment shows the labeling according to the problem statement.
The overall length is the sum of the constituent segment lengths, so ...
FG + GH = FH
(10 +x) +(7) = (2x +26)
x +17 = 2x +26
x -9 = 2x
-9 = x
__
Check
Then the segment length FG is ...
10 +x = 10 -9 = 1
and the overall length is ...
2x +26 = 2(-9) +26 = -18 +26 = 8
That is, 1 + 7 = 8.
Simplify the fraction 14/50
14/50 to its simplest form is 7/25
Answer:
[tex]\frac{7}{25}[/tex]
Step-by-step explanation:
Find the common factor for both the numerator and the denominator, which is 2:
[tex]\frac{14}{50} =\frac{7}{25}[/tex]
quick plz help <3
In which type of music do we find flatted notes & slow, syncopated rhythms?
a. classic rock.
b. ragtime.
c. contemporary jazz.
d. blues.
the correct answer is the blues
Which are true if figure DEFG is reflected across the x-axis? Check all that apply.
D(0, 4) → D'(0, –4)
E(–2, 0) → E'(–2, 0)
The perpendicular distance from G' to the x-axis will equal 2 units.
The perpendicular distance from D' to the x-axis will equal 8 units.
The orientation will be preserved.
Answer:
A,B,C
Step-by-step explanation:
If figure DEFG is reflected across the x-axis, the correct statements are:
D(0, 4) → D'(0, –4)
E(–2, 0) → E'(–2, 0)
The perpendicular distance from D' to the x-axis will equal 8 units.
Options A, B, and E are the correct answers.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
D(0, 4) → D'(0, –4) - True.
Reflecting a point across the x-axis negates its y-coordinate.
E(–2, 0) → E'(–2, 0) - True.
Reflecting a point across the x-axis does not change its x-coordinate.
The perpendicular distance from G' to the x-axis will equal 2 units. - False. The perpendicular distance from G' to the x-axis will be the same as the perpendicular distance from G to the x-axis.
The perpendicular distance from D' to the x-axis will equal 8 units. - True.
The perpendicular distance from D' to the x-axis will be the same as the perpendicular distance from D to the x-axis, which is twice the distance between D and the x-axis.
The orientation will be preserved. - False.
Reflecting a figure across the x-axis will reverse the orientation of the figure.
Thus,
D(0, 4) → D'(0, –4) - True
E(–2, 0) → E'(–2, 0) - True
The perpendicular distance from D' to the x-axis will equal 8 units. - True.
Learn more about reflections here:
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