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antoniya [11.8K]
3 years ago
8

Write an equation to match each statement. Then solve. #1) 8 less than a number x is -12. #2) 15 more than a number k is 2. #3)

A number divided by -7 is -20. #4) The product of 5/8 and a number is -20.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0
#1) x-8= -12
#2) 15+k= 2
#3) x/-7= -20
#4) (5/8)(x)= -20

The / in #2 means to divide and the ( ) mean to multiply
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The Colosseum in Rome has a total volume of 47 million cubic feet. When it was in use, it was 180 feet tall. Suppose a scale mod
nevsk [136]

Answer:

56 ft

Step-by-step explanation:

3 0
3 years ago
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Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2
Sergeu [11.5K]
Rearrange the given equation in slope intercept form
y =  \frac{3x - 1}{ - 2}  \\ y =  -  \frac{3}{2}  x +  \frac{1}{2}
slope of the required line is
-  \frac{1}{  - \frac{3}{2} }  =  \frac{2}{3}
equation is given by
y - y1 = m(x - x1) \\ y -  - 4 =  \frac{2}{3} (x - 5) \\ y + 4 =  \frac{2x}{3}  -  \frac{10}{3}  \\ y =  \frac{2x}{3}  -  \frac{10}{3}  - 4 \\ y =  \frac{2}{3} x -  \frac{22}{3}
5 0
3 years ago
Suppose the true proportion of voters in the county who support a restaurant tax is 0.5. Consider the sampling distribution for
Ahat [919]

Answer:

the mean of the sampling distribution for the proportion of supporters with sample size n = 165 is 0.5.

Step-by-step explanation:

According to the Central Limit Theorem, assuming the sampling is random and sample size is big enough (≥30) the mean of the sampling distribution is the population mean.

Therefore the mean of the sampling distribution for the proportion of supporters with sample size n = 165 is 0.5

4 0
3 years ago
I honestly don't even know where to start //// on his last 4 tests , Danilo scored 55% 78% 84% and 93%. What score should he get
skelet666 [1.2K]

Answer:

The answer to your question is He must get 80%

Step-by-step explanation:

Data

Scores 55%, 78%, 84%, 93% and X

Average 80%

Process

1.- Write a equation to solve this problem

- There are five scores

Score 1 = S1 = 55

Score 2 = S2 =  78

Score 3 = S3 = 84

Score 4 = S4 = 93

Score 5 = S5 = X

Equation

               Average = (S1 + S2 + S3 + S4 + S5) / 5

- Solve for S5

               5 Average = S1 + S2 + S3 + S4 + S5

               S5 = 5 Average - S1 - S2 - S3 - S4

- Substitution

               S5 = 5(80) - 55 - 78 - 84 - 93

- Simplification

               S5 = 400 - 310

- Result

               S5 = 90

5 0
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How to calculate a probability
Lelu [443]
Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.

P=\frac{possibility-of-an-event-occuring}{number-of-total-outcomes}

For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.

P(4)=1/6

Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:

1
2
3
4
5
6

Of the 6 possibilities, 3 are even numbers.

P(even)=3/6 or 1/2
6 0
3 years ago
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