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3 years ago

Find the solution set for this inequality below.

Mathematics

1 answer:

Maksim231197 [3]3 years ago

3 0

Answer:

x < -1

Step-by-step explanation:

-3x - 4 > 8x + 7

-3x -8x > 7 + 4

-11x > 11 / : (-11) **

x < -1

** when dividing by a negative number, the sign changes

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

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Last year the price of a car was $20,000. This year the price increased by 10% or $2,000. What is the new cost of the car?

xeze [42]

Answer:

22,000

Step-by-step explanation:

20,000+2,000

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3 years ago

Read 2 more answers

A clay model of a new car is 7 in. Long. The actual car is 21 ft long. Part 1: What proportion can you use to find the scale use

Lapatulllka [165]

Answer:

3ft:1in

Step-by-step explanation:

Given the clay model of a new car = 7in

If the actual car is 21ft, first we will have to convert 21ft to inches

Ift = 12in

21ft = x

x = 21×12.

x = 252in

21ft = 252in

This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.

To know the scale of the model, we will take the ratio of the actual car to the clay as shown

Scale = actual car model/clay car model

Scale = 252/7

Scale = 36/1

We can also use the exact units of both measurement used in question

Scale = 21ft/7in

Scale = 3ft/1in

Hence the scale of the model is 3ft:1in

8 0

4 years ago

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two

kari74 [83]

Answer:

The answer is "4.8, 3.84, and 1.96".

Step-by-step explanation:

Given:

$\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\$

By using the binomial distribution:

$\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96$

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3 years ago

Rowena's monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent decrease. Round your answer

Veseljchak [2.6K]

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer would be 32% decrease

Here is the work:

56.95 / 83.75= 0.68

Now you have to take the answer and subtract....

You have to subtract 1.1 and the answer we got (.68)

1.1-.68

And that how we would get 32% decrease

= 32% decrease

Hope this helps!

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