Answer:
48 square feet
Step-by-step explanation:
A = length x width. (A =lw)
So, 8 x 6 = 48
As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.
mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?
Answer:
Step-by-step explanation:
320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour
Which table of ordered pairs represents a proportional relationship?
Answer:
C
Step-by-step explanation:
The points in C, when graphed, have a positive slope as well as going up or down by the same amount each time
-3-2=-5-2=-7
5-2=3-2=1
The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1
miles.
Answer:
60.15 km
Step-by-step explanation:
If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation
6 km -> 4 mi
x km -> 40.1 mi
Where x km is the length on the map we're looking for. If we cross multiply
6 * 40.1 = 4x
240.6 = 4x
x = 240.6/4
x = 60.15 km.
That is the length we're looking for
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
Answer:
Step-by-step explanation:
We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.
Let R(x) = 300x-2x²
C(x) = 5000+4x
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
Rearrange:
P(x) = -2x+300-4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Note that the functions are assumed. Use this concept to solve your real question
If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Here, We can assume revenue and expenses.
Let R(x) = 300x - 2x²
C(x) = 5000 + 4x
How do you calculate revenue profit?It is the difference between the total revenue and the total expenses.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
P(x) = -2x + 300 - 4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Learn more about revenue profit here:
https://brainly.com/question/13128315
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?
The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no college degree is 9.7 % while the unemployment rate for college graduates with a bachelor’s degree is only 5.2 %. Find the difference in proportions of those unemployed between these two groups and give the correct notation for the difference, with a minus sign. Since the data come from the census, you can assume that the values are from a population rather than a sample. Use the correct notation for population proportions and use subscripts on the proportions to identify the two groups. Assume high school graduates with no college degree are group 1 and college graduates with a bachelor's degree are group 2. 1Thompson, D., ‘‘What’s More Expensive than College?
Answer:
The difference is [tex]p= 0.045[/tex]
Step-by-step explanation:
From the question we are told that
The proportion unemployment rate for high graduated is [tex] p_1 = 0.097[/tex]
The proportion unemployment rate for college graduate is [tex] p_2 = 0.052[/tex]
Generally the difference in proportions of those unemployed between these two groups is mathematically represented as
[tex]p= p_1 - p_2[/tex]
=> [tex]p= 0.097- 0.052[/tex]
=> [tex]p= 0.045[/tex]
Enter the sum of numbers as a product of their GCF.
30 + 36
The sum of the numbers as a product of their GCF is
Their GCF is 6 and the sum is 66
Step-by-step explanation:
Example 3 with Try Another One
ë Additional Example 3
)) Explain whether each of the following is a
rational number.
A. 4.078
B. 5.033919
C. 0.20878356
Solve the equation 3(x+1 )-2=x+5
Answer:
x=2
Step-by-step explanation:
first, let's distribute.
3(x+1)-2=x+5
3x+3-2=x+5
then, let's combine like terms.
3x+1=x+5
now, we subtract x on both sides.
2x+1=5
subtract 1 on both sides.
2x=4
divide by 2 on both sides.
x=2
Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer
Answer:
100 is a cool number
Step-by-step explanation:
i also ate a rock
hi please help ): picture is included
Answer:
a
Step-by-step explanation:
the over all total equals 200 and you can not subtract the 2 variables to get the total you have to add them
I do not understand
Answer:
4/7
Step-by-step explanation:
there are 7 shapes in total, 4 of them are hexagons.
What is the standard form of the number shown in this calculator display?
The calculator shows five point nine three e negative five
Answer:
The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.
Step-by-step explanation:
hope this helped ✨
What is the missing number in each circle?
b
2:3:5 = ○ : 9 : ○
Answer:
7 and. 10 uvbuv7cycyyccu xxx yxr x rxytscc6vucc ttyl j
what is 317.59 ÷ 34? PLEASE HELP PLEASE ASAP
Answer:
9.34088235
Step-by-step explanation:
Divide 317.59 by 34 .
3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)
Answer:
w = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
:)
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probability that the number of particles withdrawn will be between 235 and 265? b. What is the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52? c. If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 48 and 52? d. How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 48 and 52 with probability 95%?
Answer:
(a) 0.6579
(b) 0.2961
(c) 0.3108
(d) 240
Step-by-step explanation:
The random variable X can be defined as the number of particles in a suspension.
The concentration of particles in a suspension is 50 per ml.
Then in 5 mL volume of the suspension the number of particles will be,
5 × 50 = 250.
The random variable X thus follows a Poisson distribution with parameter, λ = 250.
The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.
The mean of the approximated distribution of X is:
μ = λ = 250
The standard deviation of the approximated distribution of X is:
σ = √λ = √250 = 15.8114
Thus, [tex]X\sim N(250, 250)[/tex]
(a)
Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:
[tex]P(235<X<265)=P(\frac{235-250}{15.8114}<\frac{X-\mu}{\sigma}<\frac{265-250}{15.8114})[/tex]
[tex]=P(-0.95<Z<0.95)\\=P(Z<0.95)-P(Z<-0.95)\\=P(Z<0.95)-[1-P(Z<0.95)]\\=2P(Z<0.95)-1\\=(2\times 0.82894)-1\\=0.65788\\\approx 0.6579[/tex]
Thus, the value of P (235 < X < 265) = 0.6579.
(b)
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{5}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{5}})[/tex]
[tex]=P(-0.28<Z<0.28)\\=P(Z<0.28)-P(Z<-0.28)\\=P(Z<0.28)-[1-P(Z<0.28)]\\=2P(Z<0.28)-1\\=(2\times 0.64803)-1\\=0.29606\\\approx 0.2961[/tex]
Thus, the value of [tex]P(48<\bar X<52)=0.2961[/tex].
(c)
A 10 mL sample is withdrawn.
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{10}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{10}})[/tex]
[tex]=P(-0.40<Z<0.40)\\=P(Z<0.40)-P(Z<-0.40)\\=P(Z<0.40)-[1-P(Z<0.40)]\\=2P(Z<0.40)-1\\=(2\times 0.65542)-1\\=0.31084\\\approx 0.3108[/tex]
Thus, the value of [tex]P(48<\bar X<52)=0.3108[/tex].
(d)
Let the sample size be n.
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{n}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{n}})[/tex]
[tex]0.95=P(-z<Z<z)\\0.95=P(Z<z)-P(Z<-z)\\0.95=P(Z<z)-[1-P(Z<z)]\\0.95=2P(Z<z)-1\\P(Z<z)=\frac{1.95}{2}\\\\P(Z<z)=0.975[/tex]
The value of z for this probability is,
z = 1.96
Compute the value of n as follows:
[tex]z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241[/tex]
Thus, the sample selected must be of size 240.
What is 321 divided by 49
Answer:
6.55
(6.55102040816)
Step-by-step explanation:
321 / 49 = 6.55102040816
can be rounded to 6.55 or 6.6
Answer:
6.55
Step-by-step explanation:
Help - I need the range for the graph
Answer:
4, 11
Step-by-step explanation:
The lowest y value is 0, the highest value is 11
At 6th grade camp there are 6 boys for every 5 girls. There are a total of 176 kids at camp. Daniel is trying to use a tape diagram to figure out how many boys will be at camp. If there are a total of 176 kids at 6th grade camp, how many boys will be at camp?
pls help i am in a hurry
Answer:
9d2nxdc
Step-by-step explanation:
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PLEASE HELP ME OUT!!!
Luna's retirement party will cost $630 if she invites 21 guests. What is the maximum number of guests there can be if Luna can afford to spend a total of $780 on her retirement party? Assume the relationship is directly proportional.
Answer:
The maximum number of guests for $780 would be 26.
Step-by-step explanation:
Write and solve an equation of ratios. In the first column write $630/$780; in the right column write 21/x:
630 21
---------- = -------
780 x
Cross-multiplying, we get 630x = 21(780), which yields x = 26.
The maximum number of guests for $780 would be 26.
Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.
Answer:
The answer is
[tex]y = - \frac{2}{5} x - 2 \\ [/tex]Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the points is (5, -4) and slope - 2/5
The equation is
[tex]y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4[/tex]
We have the final answer as
[tex]y = - \frac{2}{5} x - 2 \\ [/tex]
Hope this helps you
(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)
A: y + 3 = −5(x − 2)
B: y − 2 = −5(x + 3)
C: y + 3 = −(x − 2)
D: y − 2 = −(x + 3)
Answer:
b
Step-by-step explanation:
the point-slope form of the equation is equal to
The value of a stock over a 12 year period form 2003 to 2015 is shown in the line graph. Which statement is not supported by the graph?
Answer:
an individual who invested in the market in 2006 has yet to regain the losses incurred in 2008
Step-by-step explanation:
You have 8 quarts of brown stock.
You need 3 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)
Answer:
you can make 10 servings
Step-by-step explanation:
what is the reciprocal of 5 3/7
Answer: 7/38
Step-by-step explanation:
So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)
Hope this helps!
Which of the following described (5+5) in the expression above?
Answer:
10
Step-by-step explanation:
its 5+5
Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).
Answer:
10x+23 (pretty sure) and the * means multiply
Step-by-step explanation:
[tex]12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23[/tex]
Solve the equation
3m=2(4+t) for t
