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3 years ago

What is -5/8 times 2/3

Mathematics

2 answers:

tiny-mole [99]3 years ago

6 0

I knw its late but its -5/12

Arlecino [84]3 years ago

3 0

Answer:

-5/12

Step-by-step explanation:

Rewrite the problem as:

-5 2

------ * -----

8 3

We can reduce this to:

-5 1

------ * ----- = -5/12

4 3

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You buy x bottles of soda for $1.50 using a gift card that you got as a reward for getting good grades

nadya68 [22]

Answer:

$0\leq x \leq 10$

Step-by-step explanation:

The function is $f(x)=15-1.50x$ where x is the number of bottles of soda.

The domain means the set of "allowed" x values.

Also, f(x) means the amount of money left, which cannot be less than 0. So we put 0 into f(x) and solve for x:

$f(x)=15-1.5x\\0=15-1.5x\\1.5x=15\\x=\frac{15}{1.50}\\x=10$

This means the highest number of bottles you can buy is 10. So the domain is anything from 0 to 10. You can buy 0 until highest 10 bottles. Hence the domain is

$0\leq x \leq 10$

4 0

3 years ago

Find the Error A student states that the exterior angle of a triangle can never be a right angle. Choose the response that ident

wariber [46]

Student is wrong An exterior angle of a triangle can be adjacent to the right angle of a right triangle, so an exterior angle can be a right angle.

<h3>What is exterior angle?</h3>

The Exterior Angle is the angle between any side of a shape, and a line extended from the next side.

The student make an error he states that the exterior angle of a triangle can never be a right angle.

The correct answer will be option D that is An exterior angle of a triangle can be adjacent to the right angle of a right triangle, so an exterior angle can be a right angle.I have also attached the diagram of the triangle for better understanding.

To know more about exterior angle follow

brainly.com/question/2546141

#SPJ1

7 0

2 years ago

7.2 Given a test that is normally distributed with a mean of 100 and a standard deviation of 10, find: (a) the probability that

kompoz [17]

Answer:

The probability that a single score drawn at random will be greater than 110

P( X > 110) = 0.1587

b)

The probability that a sample of 25 scores will have a mean greater than 105

P( x> 105) = 0.0062

c)

The probability that a sample of 64 scores will have a mean greater than 105

P( x⁻> 105) = 0.002

d)

The probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105

P( 95 ≤ X≤ 105) = 0.9544

Step-by-step explanation:

a)

Given mean of the Normal distribution 'μ' = 100

Given standard deviation of the Normal distribution 'σ' = 10

Let 'X' be the random variable of the Normal distribution

let 'X' = 110

$Z = \frac{x-mean}{S.D} = \frac{110-100}{10} =1$

The probability that a single score drawn at random will be greater than 110

P( X > 110) = P( Z >1)

= 1 - P( Z < 1)

= 1 - ( 0.5 +A(1))

= 0.5 - A(1)

= 0.5 -0.3413

= 0.1587

let 'X' = 105

$Z = \frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{105-100}{\frac{10}{\sqrt{25} } } = 2.5$

The probability that a single score drawn at random will be greater than 110

P( x> 105) = P( z > 2.5)

= 1 - P( Z< 2.5)

= 1 - ( 0.5 + A( 2.5))

= 0.5 - A ( 2.5)

= 0.5 - 0.4938

= 0.0062

The probability that a single score drawn at random will be greater than 105

P( x> 105) = 0.0062

c)

let 'X' = 105

$Z = \frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{105-100}{\frac{10}{\sqrt{64} } } = 4$

The probability that a single score drawn at random will have a mean greater than 105

P( x> 105) = P( z > 4)

= 1 - P( Z< 4)

= 1 - ( 0.5 + A( 4))

= 0.5 - A ( 4)

= 0.5 - 0.498

= 0.002

The probability that a sample of 64 scores will have a mean greater than 105

P( x⁻> 105) = 0.002

d)

Let x₁ = 95

$Z = \frac{x_{1} -mean}{\frac{S.D}{\sqrt{n} } } = \frac{95-100}{\frac{10}{\sqrt{16} } } = -2$

Let x₂ = 105

$Z = \frac{x_{1} -mean}{\frac{S.D}{\sqrt{n} } } = \frac{105-100}{\frac{10}{\sqrt{16} } } = 2$

The probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105

P( 95 ≤ X≤ 105) = P( -2≤z≤2)

= P(z≤2) - P(z≤-2)

= 0.5 + A( 2) - ( 0.5 - A( -2))

= A( 2) + A(-2) (∵A(-2) =A(2)

= A( 2) + A(2)

= 2 × A(2)

= 2×0.4772

= 0.9544

The probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105

P( 95 ≤ X≤ 105) = 0.9544

7 0

3 years ago

An office supply store sells pencils individually or by the case. Pencils purchased individually cost $0.97 each. One case of fo

Rina8888 [55]

If each there are 40 pencils, then divide to find how much each pencil is.

37.20 / 40 = $0.93

Correct answer is D.

After solving, we see that buying the case of 40 pencils is cheaper than buying 40 individual pencils.

Hope This Helped! Good Luck!

5 0

4 years ago

There are 5000 books in the town's library. Of these, 4,000 are fiction. To find the percent of the books that are fiction, f

deff fn [24]

Answer:

80%

Step-by-step explanation:

4000 / 5000 * 100 = 80%

8 0

3 years ago

Read 2 more answers