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3 years ago

11

Thea builds the first layer of rectangular prism using 4 unit cubes.Raj adds 4 more layers of 4 unit cubes each. How many unit c

ubes are used for the prism?

1 answer:

pishuonlain [190]3 years ago

3 0

You simply multiply 4 by 5 and get 20. :)

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laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago

Omar ordered his sister a birthday card from a company that randomly selects a card from their inventory. The company has 21 tot

Ksju [112]

Answer:

P = 7

Step-by-step explanation:

We have 21 total cards and out of those 21 cards, 14 of those are birthday cards. So that means that the amount of cards that are not birthday cards is the number of cards subtracted by the number of birthday cards, also shown as 21 - 14. So 21 - 14 = P, so now we solve what 21 - 14 is which is 7, so that means P = 7.

Let me know if you have any questions.

8 0

3 years ago

Y=-x-4 <br>y=x<br><br>solve system of equations algebraically

Serhud [2]

Answer:

y=-2 x=-2

Step-by-step explanation:

y=-x-4

y=x

you can plug y in for x in the first equation by using substitution

y=-y-4

and then you solve for y

2y=-4

y=-2

so y equals -2. Since y=x, x also equals -2. Therefore

y=-2 x=-2

4 0

3 years ago

3. The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025

zalisa [80]

Answer:

Distance of Sun and Mercury = 58,000,000 km.

In Scientific notation, it would be: 5.8 × 10⁷ Km

Diameter of a human hair = 0.0025 cm

In scientific notation, it would be: 2.5 × 10⁻³ cm

Before Comparison, we need to bring centimeter to Kilometers or vice-versa, so we can easily calculate then, here, we will go from cm to Km.

2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸

Now, we can compare the values,

5.8 × 10⁷ Km > 2.5 × 10⁻⁸

[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]

Step-by-step explanation:

8 0

3 years ago

What are two different ways of factoring:

dolphi86 [110]

Answer: -2(f + 5)
Explanation:

3 0

2 years ago

Read 2 more answers