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3 years ago

20 POINTS IF YOU SOLVE!

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

Question 1: D

Question 2:D

Question 3: C

Question 4: A

Question 5: D

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What is the approximate volume of the cone?

seropon [69]

Answer:

D is the answer most likely your answer

Step-by-step explanation:

3.14x81x6=1526.04 which rounding would be 1526cm^3

4 0

2 years ago

Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl

amm1812

Answer:

1. $P(s_1|I)=\frac{1}{11}$

2. $P(s_2|I)=\frac{8}{11}$

3. $P(s_3|I)=\frac{2}{11}$

Step-by-step explanation:

Given information:

$P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3$

$P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1$

(1)

We need to find the value of P(s₁|I).

$P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}$

$P(s_1|I)=\frac{0.015}{0.165}$

$P(s_1|I)=\frac{1}{11}$

Therefore the value of P(s₁|I) is $\frac{1}{11}$ .

(2)

We need to find the value of P(s₂|I).

$P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}$

$P(s_2|I)=\frac{0.12}{0.165}$

$P(s_2|I)=\frac{8}{11}$

Therefore the value of P(s₂|I) is $\frac{8}{11}$ .

(3)

We need to find the value of P(s₃|I).

$P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}$

$P(s_3|I)=\frac{0.03}{0.165}$

$P(s_3|I)=\frac{2}{11}$

Therefore the value of P(s₃|I) is $\frac{2}{11}$ .

4 0

3 years ago

A bakery sold a total of 400 cupcakes in a day, and 43% of them were vanilla flavored. how many of the cupcakes sold that day we

garik1379 [7]

The number of the cupcakes sold that day that were vanilla flavored is 172.

<h3>How do we calculate a number from a percentage?</h3>

The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:

Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)

Substituting the relevant values into equation (1), we have:

Number of vanilla flavored cupcakes sold = 400 * 43% = 172

Learn more about percentages here: brainly.com/question/14801224.

#SPJ1

7 0

1 year ago

What is RS? Please help will give Brainlyest.

IceJOKER [234]

Answer:

Step-by-step explanation:

RV=VU and SW=WT ⇒ $VW=\dfrac{RS+UT}{2}$

Therefore:

$3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}$

3x + 5 = 4x - 11 {subtract 5 from both sides)

3x = 4x - 16 {subtract 4x from both sides)

-x = -16 {divide both sides by (-1)}

x=16

So:

RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47

3 0

2 years ago

Write 55 as a product of its prime factors

Roman55 [17]

Answer:

55 = 5 × 11

Step-by-step explanation:

The only prime factors of 55 are 5 and 11, thus

55 = 5 × 11

4 0

2 years ago

Read 2 more answers