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34kurt
2 years ago
15

Given f(x) = 70 + 11x, find x when f(x) =158

Mathematics
1 answer:
Mumz [18]2 years ago
5 0

Answer:

\huge  \boxed{x = 8}

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88

Divide both sides by 11

\frac{11x}{11}  =  \frac{88}{11}  \\

We have the final answer as

<h3>x = 8</h3>

Hope this helps you

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A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of
Tanya [424]

Answer:

The probability is 0.31

Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is  choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is \binom{25}{6}, where \binom{n}{k} = \frac{n!}{(n-k)!k!}. We have that \binom{25}{6} = 177100

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in \binom{10}{3}\cdot \binom{15}{3} = 54600

So the probability of having 3 laser printers and 3 inkjets is given by

\frac{54600}{177100} = \frac{78}{253} = 0.31

4 0
2 years ago
What is the tangent ratio for angle b?
Elis [28]
Hi there!

Tangent is a trigonometry ratio, and it is the value of the side opposite the angle over the side adjacent to the angle. 

The side that is opposite angle B is side CA which is equal to 2. 
The side that is adjacent to angle B is side CB which is equal to 1. 

Therefore, the tangent ratio for angle B is 2/1.
(The adjacent side cannot be side BA because it is the hypotenuse.)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
5 0
2 years ago
Read 2 more answers
Solve the equation or inequality 3/2t-16=4/3t-6
Tamiku [17]

Answer:

<em>t=60</em>

Step-by-step explanation:

3/2t-16=4/3t-6

(subtract 4/3t from both sides)

3/2t-16-4/3t=-6

(add 16 to both sides)

3/2t-4/3t=-6+16

(simplify)

1/6t=10

(divide by 1/6 (or multiply by 6 on both sides)

t=60

7 0
2 years ago
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
weqwewe [10]
QR =12 because you set up a proportion 21/14=x/8 then cross multiply and get 14x=168 then you divide and get 12
6 0
2 years ago
A randomly chosen subject arrives for a study of exercise and fitness and begins walking on a treadmill at a brisk pace. which o
Flauer [41]
A discrete variable is a type of variable which contains a finite number of values. It usually takes its values from the set of whole numbers.

From the random variable described, the random variable that is descrete is "You measure the maximum heart rate in beats per minute".

This is because, heart rate cannot be partitioned it only takes counting number values. You either have 1 beat per minutes, 2 or 3 and so on beats per minute. But you cannot have 2.5 or 3.8 and so on beats per minute.
So heart rate cannot take decimal or fractional values and hence, it is a discrete random variable.
4 0
2 years ago
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