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3 years ago

Tuan answered 20 customer service calls in 3 hours. At this rate, how many customer service calls can Tuan answer in 7.5 hours?

Mathematics

1 answer:

guapka [62]3 years ago

3 0

First you take the 20 hours it took for the 3 service calls... 20/3=6.67. Then you multiply 6.67X7.5=50.025 hours.

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Can someone help me with 16 and 20? If you’re supposed to write a contrapositive and inverse, but the word not is already in the

Dmitry_Shevchenko [17]

Since 2 'not's cancel out, 16's contrapositive is 'If the light will go on, then the fuse has not blown'. In addition, the inverse would be 'If the fuse has not blown, then the light will go on'. I challenge you to do 20 using this information!

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3 years ago

Write a polynomial that represents the length of the rectangle help please !!

disa [49]

Answer:

$\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units$

Step-by-step explanation:

Area of a rectangle = width × length

Therefore, to find the length of the rectangle, we need to divide the area by the width.

Using long division:

$\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}$

Therefore, the length of the rectangle is:

$0.8x^2-0.7x+0.7$

5 0

2 years ago

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of .5 minu

Phoenix [80]

Let x be a random variable representing the length of a text messaging conversation, then
P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275

6 0

3 years ago

If natalie and her friends decide to rent 4 lanes at reguler cost for a party ten people need to rent shoes and 4 people are mem

taurus [48]

The question is missing a tabular data. So, it is attached below.

Answer:

The total cost for the party is $74.50.

Step-by-step explanation:

Given:

Lanes rented at regular cost = 4

Cost of 1 lane rented at regular cost = $9.75

Cost of 1 lane rented for members = $7.50

Cost of 1 shoe rental at regular cost(non members) = $3.95

Cost of 1 shoe rental for members = $2.95

Since, lanes are rented at regular cost, we use unit rate at regular cost

So, cost of 4 lanes rented = $4\times 9.75= \$ 39$

Now, out of 10 people who rented shoes, 4 are members. So, the number of non-members is given as:

Non members who rented shoes = 10 - 4 = 6

So, 4 members and 6 nonmembers rented shoes.

So, cost of 6 non members renting shoes = $6\times 3.95=\$ 23.70$

Cost of 4 members renting shoes = $4\times 2.95=\$ 11.80$

Total cost for the party is the sum of all the costs. This gives,

= 39 + 11.80 + 23.70

= 50.80 + 23.70

= $74.50

Therefore, the total cost for the party is $74.50.

5 0

3 years ago

Can someone pls explain this?

ryzh [129]

Answer:

A piecewise function.

Step-by-step explanation:

The problem you showed is a piecewise function.

In this problem, you have to plug in 3 for the value x.

However, if you take a look at the conditions that value x has, it never says that x can equal 3. Thus, this function cannot be true.

Way to check this input is undefined:

Plug in 3 for the variable x. On the first function, your output will be 4. On the second function, your output will be 8.

According to the definition of a function, a function can have many inputs but only one output. In this case, this function has one input, that is 3, but produces two outputs.

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2 years ago