All categories

3 years ago

Is -12 = -12 a true or false statement?

Mathematics

2 answers:

Tanzania [10]3 years ago

6 0

Answer: yes it is a true statement

Step-by-step explanation:

-12 is the same as -12

ruslelena [56]3 years ago

6 0

Answer:

True

Step-by-step explanation:

-12 does in fact equal -12, therefore it is a true statement.

You might be interested in

Sally gets a cup of coffee and a muffin every day for breakfast from one of the many coffee shops in her neighborhood. She picks

aniked [119]

Answer:

A. Mean of the amount Sally spends on breakfast daily = $ 3.90

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

B. Mean of the amount Sally spends on breakfast weekly = $ 27.30

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Average price of a cup of coffee = $ 1.40

Standard deviation = $0.30

Average price of a muffin = $ 2.50

Standard deviation = $ 0.15

The two prices are independent of each other

2. What is the mean and standard deviation of the amount Sally spends on breakfast daily?

Let's recall that:

1. The mean of the sum of two independent variables is the sum of their means.

2. The variance of the sum of two independent variables is equal to the sum of their variances.

Therefore,

Mean of the amount Sally spends on breakfast daily = Average price of a cup of coffee + Average price of a muffin

Replacing with the values we know:

Mean of the amount Sally spends on breakfast daily = 1.40 + 2.50

Mean of the amount Sally spends on breakfast daily = $ 3.90

Variance of the amount Sally spends on breakfast daily = Variance of the price of a cup of coffee + Variance of the price of a muffin

Replacing with the values we know:

Variance of the amount Sally spends on breakfast daily = 0.30² + 0.15²

Variance of the amount Sally spends on breakfast daily = 0.1125

Standard deviation of the amount Sally spends on breakfast daily = √0.1125

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

3. What is the mean and standard deviation of the amount she spends on breakfast weekly (7 days)?

Mean of the amount Sally spends on breakfast weekly = 7 * Mean of the amount Sally spends on breakfast daily

Mean of the amount Sally spends on breakfast weekly = 7 * 3.90

Mean of the amount Sally spends on breakfast weekly = $ 27.30

Variance of the amount Sally spends on breakfast weekly = 7 * Variance of the amount Sally spends on breakfast daily

Variance of the amount Sally spends on breakfast weekly = 7 * 0.1125

Variance of the amount Sally spends on breakfast weekly = 0.7875

Standard deviation of the amount Sally spends on breakfast weekly = √0.7875

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

3 0

4 years ago

Five less than the sum of x and y

ratelena [41]

Answer: x+y>5 or (x+y)-5

Step-by-step explanation:

There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.

Inequality

By using an inequality, we would use the less than sign because 5 is less than the sum of x and y.

5<x+y

We can also write it where the variables are on the left side, which is usually preferred.

x+y>5

-------------------------------------------------------------------------------------------------------------

Expression

For an expression, we would basically write an equation, but without the equals sign.

(x+y)-5

Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.

3 0

4 years ago

house of coffee charges $14.99 per pound for its gourmet coffee and offers a $2.50 off coupon toward the total purchase. the bre

Karo-lina-s [1.5K]

Idk tbh sorry rip rip rip

7 0

3 years ago

Determine the length and midpoint of the segment whose endpoints are (–15, 9) and (–4, 11).

soldier1979 [14.2K]

The length of the segment is 5√5, the midpoint of the segment is (-9.5,10).

7 0

4 years ago