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kiruha [24]
3 years ago
6

Gerhard's Bistro has an 5:8 ratio of lunch customers to dinner customers. It averages 40 lunch customers. What is its average nu

mber of customers for dinner?
Question 2 options:
Mathematics
1 answer:
lesya692 [45]3 years ago
6 0
40/5=8
5:8
the new ratio you multiply by the difference
40:64
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A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random
Kamila [148]

Answer:

The mean of X is 2

Step-by-step explanation:

Given the data in the question;

set of 10 cards consist of 5 red card and 5 blacks

cards are chosen, replaced and shuffled four times;

number of independent trials n = 4

now, since its is replaced, the probability of getting a red card in each trial will be;

p = 5/10 = 0.5

let X rep the number of red cards observed in the four trials.

the random variable follows binomial distribution where

n = 4 and p = 0.5

so

E(X) = ∑xP( X = x )

E(X) = np

we substitute

E(X) = 4 × 0.5

E(X) = 2

Therefore, The mean of X is 2

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3 years ago
How many cubes with side lengths of 1/4 does it take to fill the prism?​
SCORPION-xisa [38]

Answer:

\large\boxed{224\ cubes}

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(2)\left(\dfrac{7}{4}\right)(1)=3.5\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{4}\right)^3=\dfrac{1}{64}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3.5}{\frac{1}{64}}=3.5\cdot64=224

\bold{METHOD\ 2}\\\\2cm:\dfrac{1}{4}cm=2\cdot4=8\\\\\dfrac{7}{4}cm:\dfrac{1}{4}cm=\dfrac{7}{4}\cdot\dfrac{4}{1}=7\\\\1cm:\dfrac{1}{4}cm=1\cdot4=4\\\\8\cdot7\cdot4=224\ (cubes)

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How many inches is the drawing? 
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