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2 years ago

Rewrite each expression using the distributive property. Then combine like terms if possible. 2(x+4

Mathematics

1 answer:

Eduardwww [97]2 years ago

7 0

Step-by-step explanation:

Step 1: Multiply the 2 with the X to get 2X.

Step 2: multiply the 2 with the 4 and get 8

Step 3: your answer is 2X+8

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HELP ME QUICKLY PLEASE IM GIVING BRAINLIEST!!!

xenn [34]

Answer:

its the second one

Step-by-step explanation:

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2 years ago

Glaucoma is a disease of the eye that is manifested by high intraocular pressure. The distribution of intraocular pressure in th

lana [24]

Answer:

(a) 9.18% of people have an intraocular pressure lower than 12 mm Hg.

(b) 80% of adults in the general population have an intraocular pressure that is greater than 13.47 mm Hg.

Step-by-step explanation:

We are given that the distribution of intraocular pressure in the general population is approximately normal with mean 16 mm Hg and standard deviation 3 mm Hg.

Let X = intraocular pressure in the general population

So, X ~ Normal( $\mu=16,\sigma^{2} = 3^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{ X-\mu}{\sigma } }$ ~ N(0,1)

where, $\mu$ = population mean = 16 mm Hg

$\sigma$ = standard deviation = 3 mm Hg

(a) Percentage of people have an intraocular pressure lower than 12 mm Hg is given by = P(X < 12 mm Hg)

P(X < 12) = P( $\frac{ X-\mu}{\sigma } }$ < $\frac{ 12-16}{3 } }$ ) = P(Z < -1.33) = 1 - P(Z $\leq$ 1.33)

= 1 - 0.9082 = 0.0918 or 9.18%

The above probability is calculated by looking at the value of x = 1.33 in the z table which has an area of 0.9082.

(b) We have to find that 80% of adults in the general population have an intraocular pressure that is greater than how many mm Hg, that means;

P(X > x) = 0.80 {where x is the required intraocular pressure}

P( $\frac{ X-\mu}{\sigma } }$ > $\frac{ x-16}{3 } }$ ) = 0.80

P(Z > $\frac{ x-16}{3 } }$ ) = 0.80

Now, in the z table the critical value of z which represents the top 80% of the area is given as -0.842, that is;

$\frac{ x-16}{3 } } = -0.842$

$x -16 = -0.842 \times 3$

x = 16 - 2.53 = 13.47 mm Hg

Therefore, 80% of adults in the general population have an intraocular pressure that is greater than 13.47 mm Hg.

8 0

2 years ago

What is the surface area of a prism

Umnica [9.8K]

Well, you do the area of each individual side and add them together. The triangles have an area 108 square inches. The two 15 inch sides each have an area of 300 square inches each. And the bottom face has an area of 480 inches squared. You add them all together to get= 108+108+300+300+480, which is equal to 1,296 square inches.

5 0

2 years ago

Read 2 more answers

2. Which fraction is in its simplest form? 2/4 2/8 2/6 2/5

wariber [46]

Answer:

2/5

Step-by-step explanation:

2 / 4 could be divided by two in both sides.

2 ÷ 2 = 1

4 ÷ 2 = 2

2/4 = 1/2

Same goes for 2/8 and 2/6

2 ÷ 2 = 1

8 ÷ 2 = 4

2/8 = 1/4

2 ÷ 2 = 1

6 ÷ 2 = 3

2/6 = 1/3

2/5 however, could not be divided by two on both sides because there is 5 and it is not a factor of 2. So it is in its simplest form

7 0

2 years ago

Read 2 more answers

A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the len

VLD [36.1K]

Answer:

The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet

Step-by-step explanation:

A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:

area = width*length

In this case the length is 0.7 feet longer than twice the width, therefore:

length = 2*width + 0.7

Applying the second equation on the first one and using the data from the question we have:

47.1 = width*(2*width + 0.7)

47.1 = 2*width² + 0.7*width

2*width² + 0.7*width = 47.1

width² + 0.35*width = 23.55

width = $\frac{-0.35 \pm \sqrt{0.35^2 -4*1*(-23.55)}}{2*1} = -0.175 \pm 4,85599$

width = 4.68099 or width = -5.03099

Since the width can't be negative, it can only be 4.68099 feet.

length = 2*4.68099 + 0.7 = 10.06198 feet.

6 0

2 years ago