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3 years ago

Suppose that an elementary school starts a recycling program. After one year, the school has

Mathematics

1 answer:

Kruka [31]3 years ago

5 0

Answer:

15% is reduced

Step-by-step explanation:

I always start by finding what 10% and 5% is, after that, I try to see how I can make that into the number subtracted and for this it happened to be 15% I found that 10% was 14,400 and 5% was 7,200 and I found the total amount reduced was 21,600 which is 14,400+7,200 or 10%+5%

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4The Monarch Butterfly is essential to the pollination process of many native and farmed North American plants. These butterflie

Elena L [17]

Answer:

f(x) = -34x + 320

Step-by-step explanation:

In the figure attached, the graph of the data and the options are shown.

We can see from the graph that the best fit line for the data would have a negative slope (as x values increase, y values decrease) and a positive y-intercept (the y value at x = 0). The only option that satisfies these two criteria is f(x) = -34x + 320

7 0

3 years ago

Suppose that 1/2 of all cars sold at a Nissan dealer in a given year are Altimas, 1/3 are Maximas, and the rest are Sentras. Sup

IRINA_888 [86]

Answer:

(1) Not conditional, 5/8

(2) Not conditional, 1/12

(3) Conditional, 1/18

Step-by-step explanation:

Fraction of cars sold

Altima = 1/2

Maxima = 1/3

Sentra = 1 - (1/2 + 1/3) = 1 - 5/6 = (6 - 5)/6 = 1/6

Fraction of cars sold with moon roof

Altima = 3/4 × 1/2 = 3/8

Maxima = 1/2 × 1/3 = 1/6

Sentra = 1/2 × 1/6 = 1/12

(1) Probability (a randomly selected car has a moon roof) = 3/8 + 1/6 + 1/12 = (9+4+2)/24 = 15/24 = 5/8

(2) Probability (a randomly selected car has a moon roof given it is Sentra) = 1/12

(3) Probability (a randomly selected car is a Maxima if it has a moon roof) = 1/3 × 1/6 = 1/18

A conditional probability uses if (as a condition) in making statements or asking questions

An unconditional probability makes statement or ask question without the use of condition (if)

5 0

3 years ago

Which of the equations below represents a line parallel to the y-axis?

Rudik [331]

Answer:

The line parallel to y – axis is x = 4. Thus option a is correct.

Solution:

Given, a set of options as linear equations.

We have to choose one which is parallel to the y – axis.

We know that, slope of y – axis is undefined.

As the required line is parallel to the y – axis, its slope should also be equal to slope of y – axis.

Now, let us check one by one option.

Now, a) x = 4

$\rightarrow \text { slope }=\frac{-x \text { coeffiecient }}{y \text { coefficient }}=\frac{-1}{0}$

= undefined

Here slope of this line is undefined. Which means it is parallel to y – axis.

So, we got our required answer.

Hence, the line parallel to y – axis is x = 4 i.e. option a is correct.

7 0

4 years ago

Here are the first four terms of a sequence.

Nataly_w [17]

Answer:

aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

We can compare this with simple quadratic sequence

1, 4, 9, 16

and find out that doubling each term gives us

2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

The first term:

a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1

The second term

a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1

The third term:

a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

The fourth term:

a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

The nth term as per observation above is:

aₙ = 2n² + n + 1

8 0

3 years ago

Select all the numbers that are rational

Margaret [11]

Answer:

-13/3

and the last 2

Step-by-step explanation:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.

4 0

2 years ago