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2 years ago

Select the correct answer.

Mathematics

1 answer:

Anna11 [10]2 years ago

7 0

Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we consider:

The flat fee as the y-intercept.

The hourly rate as the slope.

Hence the costs for x hours of moving from each company are given as follows:

A(x) = 50 + 25x.

B(x) = 40 + 30x.

C(x) = 60 + 20x.

D(x) = 150 + 5x.

For 7 hours, the costs are given as follows:

A(7) = 50 + 25 x 7 = $225.

B(7) = 40 + 30 x 7 = $250.

C(7) = 60 + 20 x 7 = $200.

D(7) = 150 + 5 x 7 = $185.

Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.

More can be learned about linear functions at brainly.com/question/24808124

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consider a sequence of independent tosses of a biased coin at times k=0,1,2,…,n. On each toss, the probability of Heads is p, an

omeli [17]

Answer:

1. p*(1-p)

2. n*p*(1-p)

3. p*(1-p)

4. 0

5. p^2*(1-p)^2

6. 57/64

Step-by-step explanation:

1. Let Ik denote the reward (possibly 0) given at time k, for k∈{1,2,…,n}. Find E[Ik].

E[Ik]= p*(1-p)

2. Using the answer to part 1, find E[R].

E[R]= n*p*(1-p)

The variance calculation is more involved because the random variables I1,I2,…,In are not independent. We begin by computing the following values.

3. If k∈{1,2,…,n}, then

E[I2k]= p*(1-p)

4. If k∈{1,2,…,n−1}, then

E[IkIk+1]= 0

5. If k≥1, ℓ≥2, and k+ℓ≤n, then

E[IkIk+ℓ]= p^2*(1-p)^2

6. Using the results above, calculate the numerical value of var(R) assuming that p=3/4, n=10.

var(R)= 57/64

5 0

3 years ago

For the rectangle provided, the length of this rectangle is 5 mm longer than its width. The perimeter of this rectangle is more

olya-2409 [2.1K]

A) length= w+5
width=w
perimeter=42mm
B) 2(w+5)+2w>42
2w+10+2w>42
4w>32
w>8
The width should be greater than 8 and the length should be more than 13.

Hope this helps!

3 0

3 years ago

A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet

Bond [772]

Answer:

The probability that a customer’s order will not be met during a month is 1.67.

Step-by-step explanation:

Given : A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards.

To find : What is the probability that a customer’s order will not be met during a month?

Solution :

Average Mean $\mu=4500$

Sample Mean $x=6000$

Standard deviation $\sigma=900$

The formula is given by,

$Z=\frac{x-\mu}{\sigma}$

Substitute the value in the formula,

$Z=\frac{6000-4500}{900}$

$Z=\frac{1500}{900}$

$Z=1.67$

The probability that a customer’s order will not be met during a month is 1.67.

7 0

3 years ago

An angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2) What is the exact value of cos(120)

notka56 [123]

The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

<h3>Solving trigonometry identity</h3>

If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;

Cos120 = cos(90 + 30)

Using the cosine rule of addition

cos(90 + 30) = cos90cos30 - sin90sin30

cos(90 + 30) = 0(√3/2) - 1(0.5)

cos(90 + 30) = 0 - 0.5

cos(90 + 30) = 0.5

Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

Learn more on unit circle here: brainly.com/question/23989157

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7 0

2 years ago

Use the vertical-line test to determine whether the relation is a function. If not, identify two points a vertical line would pa

kicyunya [14]

Answer:

not a function; (2, -2) and (2, 2)

Step-by-step explanation:

A vertical line has the same x-value for all of its y-values. Only the last answer choice lists two points on a vertical line. They also happen to be points on the graph, so it is NOT a function.

Any vertical line in the x-interval (-3, 3) will pass through the segments y=-2 and y=2. Vertical lines at x=-3 or x=3 will pass through an infinite number of points between y=-2 and y=2.

6 0

3 years ago