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3 years ago

Can someone help out ??

Mathematics

1 answer:

kupik [55]3 years ago

7 0

Answer:

120 cubes

Step-by-step explanation:

Find the volume of the prism and then divide it by the volume of one cube (which is 1/27 cm):

V = length*width*height = (5/3 cm)(4/3 cm)(2 cm) = 40/9 cm³.

Dividing this result by 1/27 yields

40 27 40*3

------ * ------ = -------------- = 120

9 1 1

120 cubes (answer)

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Use the expression below to answer the question. 20 + 8y – 9y – 21 Which expression is equivalent? A. 2(10 + 4y – 7y – 19) B. 2(

Amanda [17]

Option D: $4(5+2y)-3(3y+7)$ is the correct answer.

Explanation:

The expression is $20+8 y-9 y-21$

Solving the expression, we have,

$-y-1$

Now, we need to find an expression equivalent to $20+8 y-9 y-21$

Option A: $2(10+4y-7y-19)$

Solving the expression, we have,

$\begin{aligned} 2(10+4 y-7 y-19) &=2(-9-3 y) \\ &=-18 y-6 y \end{aligned}$

From the result, the expression $2(10+4y-7y-19)$ is not equivalent to $20+8 y-9 y-21$

Option A is not the correct answer.

Option B: $2(10+4 y)-3(3 y-7)$

Solving the expression, we have,

$\begin{aligned} 2(10+4 y)-3(3 y-7) &=20+8 y-9 y+21 \\ &=-y+41 \end{aligned}$

From the result, the expression $2(10+4 y)-3(3 y-7)$ is not equivalent to $20+8 y-9 y-21$

Option B is not the correct answer.

Option C: $4(5+2y-5y-17)$

Solving the expression, we have,

$\begin{aligned} 4(5+2 y-5 y-17) &=20+8 y-20 y-68 \\ &=-12 y-48 \end{aligned}$

From the result, the expression $4(5+2y-5y-17)$ is not equivalent to $20+8 y-9 y-21$

Option C is not the correct answer.

Option D: $4(5+2 y)-3(3 y+7)$

Solving the expression, we have,

$\begin{aligned} 4(5+2 y)-3(3 y+7) &=20+8 y-9 y-21 \\ &=-y-1 \end{aligned}$

From the result, the expression $4(5+2 y)-3(3 y+7)$ is equivalent to $20+8 y-9 y-21$

Option D is not the correct answer.

8 0

3 years ago

2.3 is 46% of what number

Liono4ka [1.6K]

Answer:

46% × 2.3 =

(46 ÷ 100) × 2.3 =

(46 × 2.3) ÷ 100 =

105.8 ÷ 100 =

1.058 ≈

1.06;

3 0

3 years ago

Read 2 more answers

Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. How much interest will Juanita pay?

Mamont248 [21]

Answer:

The answer is 84

hope this helps :)

8 0

3 years ago

Read 2 more answers

The distribution of weights of potato chip bags filled off a production line is unknown. However, the mean is m=13.35 OZs and th

Nikitich [7]

Answer:

a) $\mu_{\bar X} =13.35$

e.none of the above

b) $\sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02$

a.0.0200

c) $z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5$

$P(\bar X< 13.32)= P(z$

a.0.0668

d) $z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5$

$z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5$

$P(13.30$

c.0.6853

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(13.35,0.12)$