Answer:
5x-27.95=profit
5(34)-27.95
170-27.95
$142.05
SECTION 1-1 PRACTICE
Employee
Regular
Hourly Rate
х
Hours
Worked
Straight-Time
Pay
Ix
36
X Х
X Х
Wright, S.
Reardon, E.
Levitt, R.
Maguire, M.
Reyes, A.
Vadola, G.
$ 8.00
7.50
16.20
10.25
14.525
26.675
IX Х
18
30
243
31.125
25.625
X Х
You earn $6.50 per hour and work 30 hours this week. What is your straight-
Answer:
Your straight-time pay is $195.
Step-by-step explanation:
a) Data and Calculations:
Employee Regular Hourly Rate х Hours Worked = Straight-Time Pay
Wright, S. $8.00 36
Reardon, E. 7.50 18
Levitt, R. 16.20 30
Maguire, M. 10.25 243
Reyes, A. 14.525 31.125
Vadola, G. 26.675 25.625
b) If you earn $6.50 per hour and work 30 hours this week, your straight-time pay is $195 ($6.50 * 30). The straight-time pay is determined by multiplying the number of hours worked in a period by the hourly rate.
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)sample size of 500,000 __________sample size of 1,000,000_________sample size of 5,000,000_________sample size of 10,000,000_________sample size of 100,000,000 ___________
Answer:
a) 0.00070
b) 0.00050
c) 0.00022
d) 0.00016
e) 0.00005
Step-by-step explanation:
Standard error for proportion formula
S.E = √P(1 - P)/n
Where P = proportion
n = number of samples
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000
S.E = √P(1 - P)/n
= √0.46 × 0.54/500000
= √ 4.968 ×10^-7
= 0.0007048404
≈ 0.00070
b) 1,000,000
√P(1 - P)/n
= √0.46 × 0.54/1000000
= 0.0004983974
≈ 0.00050
c) 5,000,000
√P(1 - P)/n
= √0.46 × 0.54/5000000
= √ 4.968 ×10^-8
= 0.0002228901
≈ 0.00022
d) 10,000,000
√P(1 - P)/n
= √0.46 × 0.54/10000000
= √2.484 ×10^-8
= 0.0001576071
≈ 0.00016
e) 100,000,000
√P(1 - P)/n
= √0.46 × 0.54/100000000
= √2.484 × 10^-9
= 0.0000498397
= 0.00005
6. a) Round 50.24 to the nearest whole number. Draw a number line to show your thinking.
Answer:
50
I've attached the drawing of my number line to show my thinking. Download to turn it in if you need to.
Have a beautiful day, and stay safe.
what is the missing value in the table below?
The missing number in the given table is 180 minutes.
To find the value of x in the equation 2/120 = 3/x, we can use cross multiplication.
First, we multiply both sides of the equation by 120
(2/120) * 120 = (3/x) * 120
To simplify, we have:
2 = 3 * (120/x)
2/3 = (120/x)
To solve for x, we can multiply both sides of the equation by x:
(x) * (2/3) = (120/x) * (x)
2x/3 = 120
To isolate x, we can multiply both sides of the equation by 3/2:
(2x/3) * (3/2) = 120 * (3/2)
x = 180
Therefore, the value of x in the equation 2/120 = 3/x is x = 180.
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We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?
Answer:
Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!
Step-by-step explanation:
32% is the probability that 3 are blue and 2 are red.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
We have a bag that contains 100 balls, 50 of them red and 50 blue.
We, Select 5 balls at random.
the probability that 3 are blue and 2 are red = 50C3*50C2/50C5
solving we get,
19600*1225/75287520
=24010000/75287520
=0.32
=32%
Hence, 32% is the probability that 3 are blue and 2 are red.
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A rose bush was 2 feet tall when Candace planted it. The rose bush
grew 1 (1/4) feet per year. The rose bush is now 8 (1/4) feet tall.
Answer:
5 years
Step-by-step explanation:
Alr. The equation is:
x= how long the rose bush took to grow
8 1/4=2+1 1/4x
6 1/4=1 1/4x
5=x
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
A
Step-by-step explanation:
Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!
Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?
Answer
answers is 267 bits oof yard
Step-by-step explanation:
Answer:
146 divided into 18 would be 8.11111111111.. and so on.
Step-by-step explanation:
Hope that helps :)
During November, $83 was spent on travel. In December, $65 was spent on travel. How much was the percent of decrease? Round to the nearest tenth of a percent.
Pls Help
Answer:
Percent decrease is 21.7%
Step-by-step explanation:
The percent decrease is calculated as:
[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]
Given in the question that:
Cost on travel during November = $83
Cost on travel during December = $65
The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.
[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]
Now, for percentage decrease
[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]
Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%
Hence,
Percent decrease is 21.7%
You have a ribbon that is 7 1/2 inches long you use 1/2 of it on a project how many inches of ribbon are left
Standardization of Normal Distribution is the process of
Answer:
Step-by-step explanation:
Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.
Which lines from Natalie Merchant's song "Wonder" most likely inspired R. J. Palacio to give August's mother's great determination in the novel Wonder? O Doctors have come from distant cities just to see me O stand over my bed disbelieving what they're seeing with love, with patience and with faith she'll make her way I'm over your heads how I confound you and astound you
Answer:
C)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The guy above me is correct
Which equation has a solution of 54.73 for n?
n +8 = 62.73
n - 8 = 62.73
62.73 + 8 = n
8-46.73 = n
Answer:
n + 8 = 62.73
the first one
Step-by-step explanation:
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
6 ones 453 thousandths + 4 hundredths =
Answer:
your answer is 463
Step-by-step explanation:
Hope this help you
have a great thanksgiving
HELP ASAP PLZZZZ, I’m begging!
Answer:
I think it's B
Step-by-step explanation:
I believe the answer is C
In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52 hours. a. Find the 95% confidence interval for the mean lifetime of this type of bulb. Justify the reason you chose the distribution used to construct the confidence interval. b. How many light bulbs must be sampled so that a 95% confidence interval will specify the mean lifetime to within + 8 hours?
Complete Question
In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52 hours. a. Find the 95% confidence interval for the mean lifetime of this type of bulb. Justify the reason you chose the distribution used to construct the confidence interval. b. How many light bulbs must be sampled so that a 95% confidence interval will specify the mean lifetime to within [tex]\pm 8 \ hours[/tex]?
Answer:
a
[tex]1206 < \mu < 1228 [/tex]
The reason why a normal distribution was chosen is because the sample size is large enough that is [tex]n > 30[/tex]
b
[tex]n =162 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 80
The sample mean is [tex]\= x = 1217[/tex]
The standard deviation is [tex]\sigma = 52[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{ 52}{\sqrt{80} }[/tex]
=> [tex]E = 11.395 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]1217 -11.395 < \mu < 1217 + 11.395[/tex]
=> [tex]1206 < \mu < 1228 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
Here E = 8
=> [tex]n = [\frac{1.96 * 52 }{8} ] ^2[/tex]
=> [tex]n =162 [/tex]
I need help with this
-1,000 -999 < > or = and why
Answer:
-1,000
Step-by-step explanation:
Answer:
The answer is -1,000 > -999
Step-by-step explanation:
That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller
a city depatment uses an average of 25 10cent,35 15 cent and 350 20 cent postage stamps each day.the total cost of stamps used by the department in a 5 day period is
I'll braintlist!!!
Find the value of each expression in lowest terms:
1/6 X 11/4
11/5 X 1/3
14/3 X 1/5
5/3 X 2/5
3/4 X 8/9
5/2 X 2/7
Estimate the:
length of a pen
length of a swimming pool
length of a marathon race
5.2 inches 13.12 cm
length of a swimming pool:50m
length of a marathon race:42.195 kilometers
hope this answers your question!Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?
Answer:
(7;1)
Step-by-step explanation:
The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.
However the ordinate of the point B' will have the opposite sign as ardinate B. However the module of ordinate B' is going to be the same as module of orrdinate B.
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
Answer:
l = w + 3cm
l = w + 3cmp = 2l + 2w = 58cm
l = w + 3cmp = 2l + 2w = 58cm
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cm
l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cmStep-by-step explanation:
I hope this helps you.
If the measure of the width is 21 inches. Then the measure of the length of the rectangle will be 66 inches.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches.
Then the length of the rectangle will be
We have
L = 3W + 3
Then the perimeter will be
P = 2(L + W)
174 = 2 (3W + 3 + W)
87 = 4W + 3
84 = 4W
W = 21 inches
Then the length will be
L = 3W + 3
L = 3 x 21 + 3
L = 63 + 3
L = 66 inches
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The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
(a) compute the z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
(b) determine the quartiles.
(c) compute and interpret the interquartile range, iqr.
(d) determine the lower and upper fences. are there anyoutliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the z-score corresponding to the individual is
and indicates that the data value is
standard deviation(s) the
the table is for the entire problem.
Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?
Answer:
a = 2, b = 4, c = 8
Step-by-step explanation:
Let:
First (smallest) number = a
Second number = b
Third number(Largest) = c
The sum of three numbers is 14.
a + b + c = 14...... Equation 1
The largest number is 4 times the smallest number.
c = 4a.... Equation 2
The sum of the smallest and twice the largest is 18.
a + 2c = 18........ Equation 3
We substitute Equation 2 in Equation 3
to solve for a
a + 2(4a) = 18
a + 8a = 18
9a = 18
a = 18/9
a = 2
Hence, the smallest number = 2
We find c
c = 4a.... Equation 2
c = 4(2)
c = 8
The largest number is 8
We find b
a + b + c = 14...... Equation 1
2 + b + 8 = 14
b + 10 = 14
b = 14 - 10
b = 4
What are all three numbers?
a = 2, b = 4, c = 8
Suppose that the log-ons to a computer network follow a Poisson process with an average of three counts per minute.
Required:
a. What is the mean time between counts?
b. What is the standard deviation between counts (in minutes)?
c. If it is an average of 3 counts per minute, find the value of x such that P(X < x) = 0.95
Answer:
a. E(X) = 0.333 minutes
b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c. 0.9986
Step-by-step explanation:
a.
To find the mean time between counts
Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.
i.e.
[tex]E(X) = \dfrac{1}{\lambda}[/tex]
[tex]E(X) = \dfrac{1}{3}[/tex]
E(X) = 0.333 minutes
b. Since X is attributed to an exponential distribution, The standard deviation between counts is:
[tex]\sigma_x = \dfrac{1}{3}[/tex]
[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]
c.
Given that;
The average number of count per minute = 3
The value of X such that P(X < x) = 0.95 can be calculated as;
[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]
[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]
[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]
[tex]e^{3t} = 1-0.95[/tex]
-3x = ㏑ (0.05)
-3x = - 2.9957
x = -2.9957/ -3
x = 0.9986
The value of x = 0.9986
Answer:
a) 3
b)3
c) 8.9872
Step-by-step explanation:
a) According to the question, mean is 3.
b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.
c) P[x<X]=0.95
f(x)= λ*e^(-λ*x)
∫f(x)dx, 0 to x
mean = 1/λ =3. So, λ= 1/3.
∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x
-e^(-x/3)+1 = 0.95
-e^(-x/3)=-0.05
x/3=ln(0.05)
x=ln(0.05)*3= 8.9872
The data from the U.S. Census Bureau for 1980-2010 shows that the median weekly earnings of full-time
male employees who have at least a bachelor's degree can be modeled by the function
M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6 where x Is the number of years after 1980 and M(x) Is the
median weekly earnings in dollars. The median weekly earnings of all full-time employees who have at
least a Bachelor's degree can be modeled by the function T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3 where
x Is the number of years after 1980 and T(x) Is the median weekly earnings in dollars.
Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in
2006. Round to the nearest dollar.
The median weekly earnings of a female employee in 2006 is about
Answer:
890.908
Step-by-step explanation:
Given that :
Median weekly salary for males :
M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6
x = number of years after 1980
Median weekly salary for all employees :
T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3
Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006
Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)
F(x) = T(x) - M(x)
F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)
F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)
F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7
x = 2006 - 1980 = 26
F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7
0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908
=
please help and I will mark big brain
Which statement about the diagram is true
Answer:
AB have the length of 9
Step-by-step explanation:
5 is to short 14 is too long in between would be 9