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Aleonysh [2.5K]
3 years ago
15

3х + 16 = 24 What is the answer??

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0

Answer:

x = 8/3

Step-by-step explanation:

3x + 16 = 24

3x = 24 - 16 (subtract 16 from both sides)

3x = 8

x = 8/3 (divide both sides by 3)

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Two cubes have surface areas of 81 square inches and 144 square inches. What is the ratio of the volume of the small cube to the
Katena32 [7]
We know, surface area of cube = 6a²

So, side length of 1st cube = a² = 81/6 
a = 3.67

Side length of 2nd cube = a² = 144/6
a = 4.90

Now, volume of cube = a³

Volume of 1st cube = 3.67³ = 49.43

Volume of 2nd cube = 4.90³ = 117.64

So, Ratio = 49.43 / 117.64 = 1/2.38

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5 0
3 years ago
1. The table shows the probabilities of a response chocolate or vanilla when asking a child or adult. Use the formula for condit
Stels [109]
\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})

"Chocolate" has the marginal distribution given by the second column, with a total probability of P(\text{chocolate})=0.35. Similarly, "Adults" has the marginal distribution described by the third row, so that P(\text{adults})=0.60. Then

P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with P(\text{chocolate}\cap\text{adults})=0.21.

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Parts (b) and (c) are checked similarly.

b. Yes;


P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14
P(\text{children}\cap\text{chocolate})=0.14

c. Yes;

P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26
P(\text{vanilla}\cap\text{children})=0.26
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