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3 years ago

what is the surface area of a rectangular prism that has a height of 5cm a width of 10cm and a depth of 4cm

Mathematics

1 answer:

Kamila [148]3 years ago

4 0

2(5*10)+2(10*4)+2(5*4)=

2(50)+2(40)+2(20)=100+80+40=

220 cm^2

I found the answer by finding the areas of the 3 different sides, multiplying each area by 2 since each side has another side that is equal on a rectangular prism, then adding all of them together.

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If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 477 viruses would d

melisa1 [442]

Answer:

0.01596

Step-by-step explanation:

A scientist claims that 8% of the viruses are airborne

Given that:

The population proportion p = 8%

The sample size = 477

We can calculate the standard deviation of the population proportion by using the formula:

$\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}$

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$\sigma_p = \sqrt{\dfrac{0.0736}{477}}$

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The required probability can be calculated as:

$P(| \hat p - p| > 0.03) = P(\hat p - p< -0.03 \ or \ \hat p - p > 0.03)$

$= P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} < -\dfrac{0.03}{0.0124} \bigg ) + P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} >\dfrac{0.03}{0.0124} \bigg )$

= P(Z < -2.41) + P(Z > 2.41)

= P(Z < -2.41) + P(Z < -2.41)

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From the Z-tables;

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$P(| \hat p - p| > 0.03)$ = 0.01596

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3 years ago

At the movie theatre, child admission is $5.30 and adult admission is $8.40. On Wednesday, three times as many adult tickets as

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Answer:

Step-by-step explanation:

Let x = number of child tickets sold.

Cost of x child tickets is x * 5.30 = 5.3x.

"three times as many adult tickets as child tickets were sold"

Number of adult tickets sold: 3x

Cost of 3x adult tickets is 3x * 8.40 = 25.2x

Cost of all tickets is 5.3x + 25.2x = 30.5x

Cost of all tickets is $1189.50

30.5x = 1189.5

x = 1189.5/30.5

x = 39

Answer: 39

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3 years ago

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3 years ago

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