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2 years ago

Divide. 8 3/4÷(-3 1/2) enter your answer as a mixed number, in simplified form.

Mathematics

1 answer:

Tems11 [23]2 years ago

6 0

Answer:

-2 1/2

Step-by-step explanation:

The first thing to do here is turn 8 3/4 and -3 1/2 into fractions(we will convert to mixed number at the end). So you get: 35/4 and -7/2.

That gives you (35/4)/(-7/2).

Then you use keep change flip to simplify this.

(35/4) * -2/7 = 2.5

2.5 as a mixed number is:

-2 1/2

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Solve the inequality 6.2n < 2n + 8.4

Degger [83]

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

6 0

2 years ago

A number cube is rolled and a coin is flipped.

Mademuasel [1]

Answer:

Step-by-step explanation:

5 0

2 years ago

15 POINTS! someone pls answer

photoshop1234 [79]

Answer:

$2(\frac{1}{2} *20*50)+2(\frac{1}{2} *20*10)$

Step-by-step explanation:

The formula for the area of a triangle is $\frac{1}{2} *b*h$

The triangles that can be made is the triangle that has legs 20 and 50 and the triangle that has legs 20 and 10.

Since there are 2 of each triangles, we get:

$2(\frac{1}{2} *20*50)+2(\frac{1}{2} *20*10)$

The answer that fits is the first option.

5 0

2 years ago

What makes two angles exterior versus interior ?<br>

astraxan [27]

Answer:

Any angle that is on the inside of a shape is called an interior angle.

Step-by-step explanation:

Any angle that is on the outside of a shape is called an exterior angle. An exterior angle is made by extending one of the lines of the shape beyond the intersection point. ... Notice that the two angles make a straight line.

4 0

2 years ago

Salaries for various positions can vary significantly depending on whether the company is in the public or private sector. The U

DIA [1.3K]

Answer:

a) 0.004

b) 0.9609

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 76503

Standard Deviation, σ = 8850

We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(salary greater than 100,000)

P(x > 100000)

$P( x > 100000) = P( z > \displaystyle\frac{100000 - 76503}{8850}) = P(z > 2.655)$

$= 1 - P(z \leq 2.655)$

Calculation the value from standard normal z table, we have,

$P(x > 100000) = 1 - 0.996 = 0.004 = 0.4\%$

b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)

Sample size, n = 20

Standard error due to sampling =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{8850}{\sqrt{20}} = 1978.92$

$P(70000 \leq x \leq 80000) = P(\displaystyle\frac{70000 - 76503}{1978.92} \leq z \leq \displaystyle\frac{80000-76503}{1978.92})\\\\ = P(-3.286 \leq z \leq 1.767)\\\\= P(z \leq 1.767) - P(z < -3.286)\\=0.9614 - 0.0005= 0.9609 = 96.09\%$

$P(70000 \leq x \leq 80000) = 96.09\%$

7 0

2 years ago