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2 years ago

Determine the volume of the composite figure!

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

5 0

Answer:

1017.88

Step-by-step explanation:

i used the formula of V=πr2h

3 a for the cone and then also 4

3πr3 for the sphere

plzmark branliest

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Find the slope of the line that contains the following ordered pairs (4,2) (7,6.5)

klio [65]

Answer:

4.5/3 or 1.5

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(6.5-2)/7-4)=4.5/3... you can further simplify to 1.5.

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2 years ago

Which is equivalent to

Tresset [83]

Answer:

First option

Step-by-step explanation:

$\frac{1}{8} x + \frac{1}{8} x \\ \frac{1 + 1}{8} x \\ \frac{2}{8} x \\ \frac{1}{4} x$

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1 year ago

Janine has job offers at two companies. one company offers a starting salary of $28,000 with a raise of $3000 each year . the ot

ollegr [7]

After nine years the salaries will be the same
28000 3600031000 3800034000 4000037000 4200040000 4400043000 4600046000 4800049000 5000052000 52000

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3 years ago

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

Katie is building a rectangular wall. The wall will be 332 bricks wide and 39 bricks tall. She has 15,000 bricks. Does she have

agasfer [191]

Katie has enough bricks because it only takes 12,948 bricks to build the wall. To get 12,948, you will multiply 332 by 39. So basically you are multiplying the width by how tall it is.

4 0

3 years ago

Read 2 more answers