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Suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. The sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. Both sales volume and advertising expenditures are in thousands of dollars.
Estimated Sales Volume =46.63+0.47(Advertising Expenditures)
If the company has a target sales volume of $275,000, how much should the sales manager allocate for advertising in the budget?
Answer:
$485890
Step-by-step explanation:
Given
Estimated Sales Volume =46.63+0.47(Advertising Expenditures)
Required
Find the allocated amount for advertising expenditure when target sales is $275000
Represent the sales volume with V and The advertising expenditure with a.
So, the expression is:
[tex]V = 46.63 + 0.47A[/tex]
Since the expression is in thousands, substitute 275 for V
[tex]275 = 46.63 + 0.47A[/tex]
Collect Like Terms
[tex]275 - 46.63 = 0.47A[/tex]
[tex]228.37= 0.47A[/tex]
Make A the subject
[tex]A = \frac{228.37}{0.47}[/tex]
[tex]A = 485.89[/tex]
Hence, $485890 should be allocated for advertising
Find the length of segment LM.
Answer:
5 I think l to n is 10,so it will be half of it
A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 students, what would be the probability that at least 6 students drive themselves to school? (CDF)
A) 0.139
B) 0.283
C) 0.717
D) 0.861
Answer:
B) 0.283
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
25% of the students drive themselves to school.
This means that [tex]p = 0.25[/tex]
Class of 18 students
This means that [tex]n = 18[/tex]
What would be the probability that at least 6 students drive themselves to school?
This is
[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]
In which
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]
[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]
[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]
[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]
[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]
[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]
[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]
Closest option is B, just a small rounding difference.
What is 51.2% of 33?
Answer:
16.896
Step-by-step explanation:
Answer:
16.896
Step-by-step explanation:
What is the solution to the system of equations graphed below?
y = 3x + 2
5
y = -2x - 3
Answer:
-2, 1 i'm very positivee
Which ratio expresses the scale used to create this drawing? The camping site has dimensions of 15 meters by 60 meters.
Answer:
Answer is d on edge 2021
Step-by-step explanation:
Answer:
it is d :)
Step-by-step explanation:
4.
The probability that I will go sailing today AND the fair six-sided die will come up even on the next roll is .3.
these events are independent, what is the probability that I will go sailing today?
Answer:
Step-by-step explanation:
Let us consider P(A) to be the probability for the fact that I will go for sailing today
Likewise, P(B) will be the probability of a die to come up on an even number in the next roll.
Now, according to the question,
P(A and B) = 0.3
It is known to us that the probability of a die to land with an even number on its side up =
Moreover, we are given with the fact that both P(A) and P(B) are independent.
∴ P(A and B) = P(A) × P(B)
⇒ 0.3 = P(A) × 0.5
⇒ P(A) = = 0.6
de-13m+5n-8p sustraer 7p-8m+3n
Answer:
its 300
Step-by-step explanation:
On in-line skates, Bradley skates 4 miles in 48 minutes. At this speed, how long would it take him to skate the entire length of a 12-mile bike path?
Answer:
144 minutes
Step-by-step explanation:
4 goes in 12 3 times so we have to do 48 times 3 too. Which is 144.
Answer:
Step-by-step explanation:
[tex]\frac{t}{12}=\frac{48}{4}\\ \\ t=144min[/tex]
Use the GCF and the Distributive Property to
rewrite the following expression:
24 +30
Answer:
B = 6(4 + 5)
Step-by-step explanation:
GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.
Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac
The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)
24 divided by 6 = 4
30 divided by 6 = 5
This fits B the most: 6(4 + 5)
The answer is B, I hope this helps!
Two athletes practice for a marathon by running back and forth on an 11-mile course. They start running simultaneously, one at a speed 2 mph faster than the other's speed. How fast does each run if they meet 1 hour 6 minutes after starting? (The faster runner is already returning at this point.) How far from the starting point do the runners meet?
Answer:
Faster runner speed: 11 mph
Slower runner speed: 9 mph
Distance from starting point: 9.9 miles
Step-by-step explanation:
Let the slower runner speed be: x
Faster runner speed: x+2
1 hour 6 minutes = 1.1 hours
Slower: 1.1(x) = 1.1x miles
Faster: 1.1(x+2) = 1.1x+2.2 miles
This means that the faster runner had gone 2.2 miles more than the slower runner.
1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)
1.1x > 11 - 2.2 miles
1.1x > 8.8 miles
x > 8.8 / 2.2 miles
x > 8 mph
1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)
x < 11 / 1.1 miles
x < 10 miles
8 < x < 10
Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.
Slower runner distance to the end:
1.1(9) = 9.9 miles
11 - 9.9 = 1.1 miles
Faster runners distance from the end (when coming back)
1.1(9+2) = 1.1(11) = 12.1 miles
12.1 - 11 = 1.1 miles
The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point
The advantage of crop rotation was which of the following?
Which one does not belong?
Answer:
soooooooo where's the rest of the question? LOL
Step-by-step explanation:
URGENT!!! Find the value of x using the similar trapezoids below.
Answer:
x= 30
Step-by-step explanation:
find the corresponding ratio AD:EH
20:12=5:3
is it constant? yes because 15:9 is also 5:3
if we're trying to find x on the larger side, we do x:18
what divides into 18 to equal 3? 6
we take 6 times 5 =30 so the ratio is now 30:18=5:3 so we know its correct
perimeters of similar figures
Find the volume. 11 yd 5 yd 6 yd
Please some sons help thank you !!
Answer:
a trigong i think
Step-by-step explanation:
please help PLEASE help
Answer:
Your answer would be 4
Step-by-step explanation:
Convert the 4 3/4 into a decimal, 4.75.
First, you must multiply 5 and -3.5 together. Then you add everything on top together.
Divide the fraction
Answer:
F. 4
Explanation:
(5(-3.5)+4(3/4)-3.25) / -4 = 4
8 ÷ one third = ___. one twenty fourth alt=twenty four twenty fourths 24 48
Answer:
Twenty four (24)
Step-by-step explanation:
8 ÷ one third
one third = 1/3
8 ÷ 1/3
= 8 × 3/1
= 24/1
= 24
WILL GIVE BRAINLEST, What is the height of the trapezoid if the Area = 77 ft²?
Answer:
h = 7.333
Step-by-step explanation:
Answer: 7
Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D
What is another way to write a2 b3 c2 d?
Answer:
A+A+B+B+B+C+C+D
Step-by-step explanation:
it's just the letter wrote the amount of times the number says
Mariana owed her grandmother $2.75 but was recently able to pay her back $1.25. How much does Mariana currently owe her grandmother?
Ten friends share 2 pumpkins pies equally. What fraction of a pumpkin pie does each friend get?
Answer:
1/5
Step-by-step explanation:
1/5
Answer:
Each friend would get 1/5 of pumpkin pie I believe
Step-by-step explanation:
50 points! Mhanifa please answer I will mark brainliest
Answer:
C. OBTUSE
Step-by-step explanation:
2. Paris was the son of the king and queen of Troy. When he was born, his mother dreamed that she was giving birth to a flaming torch. Fearful that this was a bad omen, King Priam ordered that the child be left on a hillside to die.
the answer is a. There is 1 as a right angle.
what is the volume of the rectangular prism?
Answer:
7yd cubed
Step-by-step explanation:
The total length of all the sides are:
2 1/3 yards (length)
1 yard (width)
3 yards (height)
So just multiply 2 1/3*1*3
1. In the right triangle shown below, determine the value of x. (Round to the nearest
tenth.)
Answer:
20.8
Step-by-step explanation:
so x is opposite the 60 degree angle so that means that it is half of the hypotanuese times root three
so then x would be equal
24/12=12 root three which is equal to 20.8
Mr.Fuller wants to put fencing around his rectuangular-shaped yard. The width of the yard is 55 feet and the length is 75 feet. How many feet of fencing does Mr.fuller need
Answer: 22% fencing
Step-by-step explanation:
Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
To find the perimeter of the rectangular yard, we need to add up the lengths of all four sides.
The two sides that are 55 feet long are the width of the yard, and the two sides that are 75 feet long are the length of the yard.
So, the perimeter of the yard is:
Perimeter = 2 × (length + width)
Perimeter = 2 × (75 feet + 55 feet)
Perimeter = 2 × 130 feet
Perimeter = 260 feet
Therefore, Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ3
The firm is requested to send 3 employees who have positive indications of asbestos on to a medical center for further testing. Suppose 40% of the employees have positive indications of asbestos in their lungs. a) Find the probability that exactly 10 employees will be tested in order to find 3 positives
Answer:
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
40% of the employees have positive indications of asbestos in their lungs
This means that [tex]p = 0.4[/tex]
a) Find the probability that exactly 10 employees will be tested in order to find 3 positives
2 within the first 9([tex]P(X = 2)[/tex] when [tex]n = 9[/tex]), and the 10th, with 0.4 probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{9,2}.(0.4)^{2}.(0.6)^{7} = 0.1612[/tex]
0.4*0.1612 = 0.0645
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
How many solutions can be found for the system of linear equations represented on the graph?
Answer:
one solution
⇒ The system of linear equation represented on the graph has only one solution.
For the following report about a statistical study, identify the items below: to find the public's views on obesity, researchers waited outside a fast food restaurant they had randomly selected from a list of such establishments. they stopped every 25th person who came out of the restaurant and asked whether he or she thought obesity was a serious problem.
1. The population:____.
a. all people except those who work at fast food restaurantfast food restaurants.
b. people.
c. every 25th person leaving the restaurant.
d. all people that go to fast food restaurantfast food restaurants.
2. The population parameter of interest:_____.
a. proportion who think obesity is not a serious problem.
b. proportion of people who think obesity is a serious problem.
c. proportion of people who answered the survey.
d. proportion of people who did not answer the survey.
3. The sampling frame:_____.
a. all people except those who work at fast food restaurantfast food restaurants.
b. people who think obesity is a problem.
c. every 25th person leaving the restaurant.
d. restaurant customers.
4. The sample:____.
a. people.
b. every person leaving the restaurant.
c. every 25th person leaving the restaurant.
d. all people except those who work at fast food restaurantfast food restaurants.
5. The sampling method, including whether or not randomization was employed:_____.
a. questionnaire (non-random).
b. not specified, non-random.
c. not specified, but at least "random".
d. systematic sampling.
6. Any potential sources of bias you can detect and any problems you see in generalizing to the population of interest:
A. Response bias is possible. The study is conducted in such a way as to achieve a desired response that may be different from the population in general.
B. Non-response bias is possible. Since some people leaving the restaurant may not respond to theinterview, the study may misrepresent the general population.
C. Undercoverage bias is possible. Since those interviewed just left a fast food restaurant commafast food restaurant, their opinions about obesity may differ from the population in general.
D. There is no indication of bias.
Answer:
Step-by-step explanation:
From the short passage given in the question, we are fill in the gaps with the options provided in each question. Below shows the correctly selected answer after thoroughly going through the passage.
1
b. people
2
[tex]\mathbf{b. \ proportion \ of \ people \ who \ think \ obesity \ i s \ a \ serious \ problem.}[/tex]
3
d. restaurant customers.
4
c. every 25th person leaving the restaurant.
5
d. systematic sampling.
6
C. Undercoverage bias is possible. Since those interviewed just left a fast-food restaurant, fast food restaurant, their opinions about obesity may differ from the population in general.