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juin [17]
2 years ago
12

Calculate the volume. Round your answers to the nearest tenth if necessary.

Mathematics
1 answer:
eduard2 years ago
5 0

Answer:

need to see problem please

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co
kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(test scores is between 411 and 649)

P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

b) P(scores is less than 411 or greater than 649)

P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%

c) P(score greater than 768)

P(x > 768)

P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)

= 1 - P(z \leq 2)

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

P(x > 768) = 1 -0.977 = 0.023 = 2.3\%

5 0
3 years ago
The coaches at Xavier Elementary School bought cases of sports drinks for a field day. They bought 76 cases of drinks. Each case
solong [7]

Answer:

608

Step-by-step explanation:

There are a total of 1,824 drinks since there were 76 cases at 24 drinks a piece. This creates a total number of 24*76 = 1824.

If each student receives 3 then 1824/3 = 608. There were 608 students.

7 0
3 years ago
Determine the quotient of 2/3 divided by 4 using a visual model. Show me how..,
azamat
4 divided by 2/3 equals 6. And 2/3 divided by 4 equals about 0.1666

First you would write it as 4/1 divided by 2/3, then you would you keep, change, flip. If you do not know how to keep,change,flip just keep the first fraction then change the division sign to multiplication then flip the last fraction. Then you should get the answer. And if you need to simplify make sure to do that.
5 0
3 years ago
Find the value of x when 6 - 3x = 5x - 10x + 8.<br> The value of x is
katrin2010 [14]

Answer:

Step-by-step explanation:

Simplify

6 + -3x = 5x + -10x + 8

terms:

6 + -3x = 8 + 5x + -10x

Combining  like terms: 5x + -10x = -5x

6 + -3x = 8 + -5x

Solving

6 + -3x = 8 + -5x

Move all terms containing x to the left, all other terms to the right.  (Remember)

Add '5x' to each side of the equation.

6 + -3x + 5x = 8 + -5x + 5x

Combine the like terms -3x + 5x = 2x

6 + 2x = 8 + -5x + 5x

Combine the like terms again  -5x + 5x = 0

6 + 2x = 8 + 0

6 + 2x = 8

Then '-6' to each side of the equation.

6 + -6 + 2x = 8 + -6

Combine the like terms: 6 + -6 = 0

0 + 2x = 8 + -6

2x = 8 + -6

Combine the like terms: 8 + -6 = 2

2x = 2

Then divide each side by '2'.

x = 1

Simplifying

x = 1

7 0
3 years ago
Read 2 more answers
How do you solve 3log(2x+1)=4
solniwko [45]
The Answer For This Is 5^3<span>√10 - 1/2</span>
6 0
3 years ago
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