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svet-max [94.6K]
4 years ago
7

Simplify. x 5.3 = -1.2 a. -6.5 b. 6.5 c. -7.5 d. 7.5

Mathematics
1 answer:
lorasvet [3.4K]4 years ago
5 0
I will assume a + sign between the x and 5.3:

x+5.3  = -1.2

To get the x alone we need to subtract 5.3 on both sides, like this:
x+5.3-5.3 = -1.2 - 5.3
x = - 6.5

a is the correct answer. 
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Tina spent 3/5 of her paycheck on a trip to the beach. She spent 3/8 of her paycheck on new clothes for the trip. What fraction
yuradex [85]

Answer:

<u>Tina spent almost all her paycheck on the trip and buying new clothes for the trip. She spent 39/40 of her paycheck.</u>

Step-by-step explanation:

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

Amount spent by Tina on a trip to the beach = 3/5

Amount spent by Tina on new clothes = 3/8

2. What fraction of her paycheck did Tina spend on the trip and clothes together?

Total spent by Tina on the trip and new clothes = 3/5 + 3/8

Total spent by Tina on the trip and new clothes = 24/40 + 15/40 = 39/40

<u>Tina spent almost all her paycheck on the trip and buying new clothes for the trip. She spent 39/40 of her paycheck.</u>

8 0
4 years ago
What are three rational numbers between -1 and -2
MArishka [77]

well, rational = fractional, namely something you can write as a fraction, well, anything between -1 and -2 is just less than -1 so

\bf \boxed{-2}\dotfill \stackrel{-1-\frac{1}{4}}{-\cfrac{5}{4}}\dotfill\stackrel{-1-\frac{1}{10}}{-\cfrac{11}{10}}\dotfill \stackrel{-1-\frac{1}{99}}{-\cfrac{100}{99}}\dotfill \boxed{-1}

7 0
3 years ago
In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o
ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that p = 0.53

9 of those survey subjects are randomly selected

This means that n = 9

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

6 0
3 years ago
19. At a boardroom meeting, the sales manager is happy to announce that sales have risen from $850,000 to $1,750,000 at a
klasskru [66]

The number of years it would take sales to reach $1,750,000 is 14.65 years.

<h3>What is the number of years?</h3>

The formula that can be used to determine the number of years it would take for the sales to reach $1,750,000 is:

Number of years : In (FV / PV) / r

Where:

  • FV = future level of sales -  $1,750,000
  • PV = present level of sales = 850,000
  • r = rate of growth -  4.931998%

Number of years : In ($1,750,000 / 850,000) / 0.04931998

Number of years : In (2.06) / 0.04931998

Number of years : 14.65 years

To learn more about how to determine the number of years, please check: brainly.com/question/21841217

#SPJ1

3 0
2 years ago
HELP I SUCK SO BAD AT MATH ITS DUE TOMORROW!!!!!
sleet_krkn [62]
11. 1/81
12. 1/512
13. 1/81
14. 1/125
17. 1/72
18. 189/625
8 0
4 years ago
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