The weekly cost per worker is: $800
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
Recall:
Unit rate is calculated using: [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Unit rate represents the amount of a quantity compared to its unit of measure.
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
Since the relationship between number of workers and weekly cost is proportional, we would apply [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex] in determining the weekly cost per worker using the points, (6, 4800) and (15, 12000):
SubstituteUnit rate/weekly cost per worker = [tex]\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800[/tex]
Unit rate/weekly cost per worker = $800
In summary, the weekly cost per worker is: $800
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
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5x + 4y + 7x + y
Answer ?
Answer:
12x+5y
Step-by-step explanation:
add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y
Answer:
Step-by-step explanation:
5x + 4y + 7x + y
Need to arrange all who have the same variable
=5x + 7x +4y + y
=12x+5y
A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
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Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
You measure 43 randomly selected textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 12.4 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.
Answer:
by the empirical rule, 95% of the population is within 2 standard deviations of the mean
55 + or - 2(9.2) = 55+ or - 18.4 = (36.6,73.4)
95% of the population falls between 36.6 and 73.4 ounces
Step-by-step explanation:
6,600,000,000 exponential notation
Answer:
6.6 x 10^9
Step-by-step explanation:
what is -2(x+1) simplified
Answer:
-2x - 2
Step-by-step explanation:
-2(x + 1)
[tex](-2)(x+1)[/tex] [tex](-2)(x)+(-2)(1)[/tex] [tex]-2x - 2[/tex]Therefore, the answer is -2x - 2.
Answer:
-2x - 2
Step-by-step explanation:
Simplify:
-2(x+1)-2(x) + -2(1)-2x - 2-Chetan K
Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-x* 1-0
D A
1+
14
2
1-IS
X =
D
B. x-
= -2
O c. x = 3
-
-1+
D.x =2 1-O
E.1 4x=
.
OF.x
2
Answer:
x=-1/2
Step-by-step explanation:
using almighty formula
x= -b+or-√b²-4ac/2a
x=-1+ or -√-1+4(1)(1/4) divided by 2(1)
x=-1+ or -√-1+1 divided 2
x=-1+0 divided by 2
x=-1/2
25Y^2/5y-4 + 16/4-5y
Answer:
5Y2y-5y
Step-by-step explanation:
5
Y
2
y
−
5
y
Seedless watermelon costs $.99 per pound. Find the cost per kilogram
please help and show the solution and answer thank uou
Answer:
$2.20/kg
Step-by-step explanation:
First, we must convert pounds to kilograms.
1 lb = 0.45 kg
If 1 lb costs $.99
then 0.45 kg costs $.99
0.45 kg = $.99
dividing both sides by 0.45
1 kg = .99 ÷ 0.45
1 kg = $2.20
If you see this can you answer this question.
Answer:
The last one
Step-by-step explanation:
-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.A similar problem is given at https://brainly.com/question/16807970
What are the example of discount?
Answer:
The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for. An example of something described as discount is a purse sold for 50 percent off its normal price or a store that focuses on selling designer items at below-market prices.
Answer:
the marked price of book is 2000.and vat is 13 percent.selling price is 1500then find discount
Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units
Answer:
B) 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. This means ...
BE = ED
3 -9x = -8x +14
-11 = x . . . . . . . . . . . . add 9x -14
BE = 3 -9x = 3 -9(-11) = 3 +99
BE = 102 units
Solve the equation 3x/3x-1 + 2/x = 1
Answer:
2/7=0.285714
Step-by-step explanation:
3x/3x-1+2/x=13x2+2(3x-1)/xx(3x-1)=13x2+6x-2/xx(3x-1)=13x2+6x-2=xx(3x-1)3x2+6x-2=3x2-x6x-2=-x6x=-x+26x+x=27x=2x=2/7=0.285714Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,
perpendicular, or neither to CD
Answer:
neither
Step-by-step explanation:
If 2 lines are parallel then their slopes are equal
If 2 lines are perpendicular then the product of their slopes = - 1
Calculate the slopes m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )
[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
Repeat
with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )
[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]
The slopes are neither equal nor have a product of - 1
What is the meaning of the point shown on this graph?
Mysha’s Height
A: Mysha was 12 inches tall at age 2 1/2 years
B. Mysha was 30 inches tall at age 1 year
C: Mysha was 12 inches tall at the ago 30 months
D: Mysha was 30 inches tall at age 12 years
Two integers are relatively prime if, and only if, their greatest common divisor is 1. For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray. What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die and the gray die is showing six pips
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Looking at the equation y=(x+3)^2-4, determine which direction in which the parabola is open.
up
down
left
right
link/random words or letters as answer = report
Answer:
parabola opens up
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then parabola opens up
• If a < 0 then parabola opens down
y = (x + 3)² - 4 ← is in vertex form
with a = 1
Since a > 0 then parabola opens up
I need the first question pls
Answer:
Step-by-step explanation:
All magnets have two poles -- arbitrarily called North and South; a magnet is characterized by the magnetic force it creates.
Find the value of x
(6x-5) (6x+5)
Answer:
-5/6 or 5/6
Step-by-step explanation:
Im assuming you want this equation equal to 0, so (6x-5)(6x+5) would reduce to 36x²-25=0. I would then add 25 to the other since and get
36x²=25, divide the whole thing by 36 to single out x
x²=25/36, which would reduce to x²=5/6.
thus x could be either -5/6 or 5/6
HELP ME I WILL GIVE POINTS
Answer:
1. 32
3. -11
Step-by-step explanation:
(To meet character limit)
Answer:
1.) 35
2.) -20
Step-by-step explanation:
B. If the point are in line ( vertical) then it is not a functiom
Answer:
True.
Step-by-step explanation:
If a relation forms a vertical line, then that means a given input has multiple outputs. Because of this, it is not a function.
Multiple-Choice Questions
U
T
1.
?
50°
120°
V
R
Find the measure of the indicated angle in the
drawing above.
(A) 190°
(B) 60°
(C) 70°
(D) 120°
(E) 140°
Answer:
Mention the drawing if you want an answer !!! How are we supposed to answer this question without the drawing the question is referring to ?????
subtract (6x^2+5) - (4x-3)
Leonard conducts a study to see if the number of hawks in a park affects the number
of squirrels. What is the response variable in this study?
A.The number of hawks in the park
B.The number of squirrels in the park
In the experiment, the response variable is the dependent variable, or the measured variable.
The response variable in the study is; B. The number of squirrels in the parkReasons:
The study Leonard conducts is a study to determine if the number of
hawks located in the park affects the number of squirrels in the park.
The response variable is the variable of the experimental result, which is
the dependent or output variable obtained by manipulating the input
variable.
In the experiment conducted by Leonard, the variable that is being
manipulated, which is the input variable is the number of hawks in the park
The variable that is being measured, which is the output variable or the
response variable, is; B. the number squirrels in the park.
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Help help help help please math math
Answer:
Answer ️️
Step-by-step explanation:
5.1÷104 = 4.903846154
In a survey, 13 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $50 and standard deviation of $14. Construct a confidence interval at a 98% confidence level.
Answer:
21
Step-by-step explanation:
Please answer all these question
Answer:
it's 10.00 because I used a calculator
Simplify the algebraic
expression
4(x + 1) + 7(x + 3).
a. 11x + 4
b. 2x + 215
C. 11x + 25
d. 5x + 11
Someone help pleaseeee
Answer:
C.
Step-by-step explanation:
4(x + 1) + 7(x + 3)= 4*x+4*1 + 7*x+7*3 = 4x+4 +7x +21 = 11x + 25
C
Step-by-step explanation:
4x+4+7x+21
11x+25
you have to combine like terms
Select the best description for the slope of Line a.
Positive Slope
Negative Slope
Zero Slope
Undefined Slope
Mr. Adam drives a school bus 5 days a week. Each day he travels 48.8 miles. How many miles does he drive per week?
Answer:
358 steps
Step-by-step explanation:
