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vladimir1956 [14]

3 years ago

14

For a school fund raising project, Aiden and Jacob collected money in the ratio 3.5;6.8. Jacob collected $115.50 more than Aiden

. Find the total amount of money they collected

1 answer:

Murrr4er [49]3 years ago

6 0

Answer:

Step-by-step explanation:

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8_murik_8 [283]

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3 years ago

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Hoochie [10]

Answer:

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Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

A.) 5/4<br> B.) 1/2<br> C.) -5<br> D.) 3

Scrat [10]

Answer: A

Step-by-step explanation:

4y=5x-16

divide each side by 4

y=5/4x-4

8 0

1 year ago

Read 2 more answers

What is the next fraction in the sequence? Simplify your answer. 3/4, 5/8, 1/2, 3/8,

erma4kov [3.2K]

Answer: 2/8.

Step-by-step explanation:

When we have this type of problem, the usual way to solve them is trying with known types of sequences.

I will start with the arithmetic sequence, where the difference between any two consecutive terms is a constant. And if we call this difference as D, we will have the recursive relation:

Aₙ = Aₙ₋₁ + D

To check if this sequence is an arithmetic sequence, we can take the first two terms and see the difference:

(5/8 - 3/4) = (5/8 - 6/8) = -1/8.

Now let's do the same, but with the second and third terms:

(1/2 - 5/8) = (4/8 - 5/8) = -1/8

The difference is the same, -1/8.

Now we can use the recursive relationship above and the last given term of the sequence to find the next one:

A₅ = A₄ + (-1/8)

A₅ = 3/8 - 1/8 = 2/8

Then the next fraction in the sequence was 2/8.

8 0

3 years ago

A consumer products company found that 42% of successful products also received favorable results from test market research, w

blagie [28]

Answer:

(1) The probability of a successful product given the product is favorable is 0.7778.

(2) The probability of a successful product given the product is unfavorable is 0.2391.

(3) The probability of a unsuccessful product given the product is favorable is 0.2222.

(4) The probability of a unsuccessful product given the product is favorable is 0.7609.

Step-by-step explanation:

Denote the events as follows:

<em>S</em> = a product is successful.

<em>F</em> = a product is favorable.

The information provided is:

$P(S\cap F)=0.42\\P(S\cap F^{c})=0.11\\P(S^{c}\cap F)=0.12\\P(S^{c}\cap F^{c})=0.35\\$

The law of total probability states that:

$P(A)=P(A\cap B)+P(A\cap B^{c})$

Use the law of total probability to compute the probability of a favorable product as follows:

$P(F)=P(S\cap F)+P(S^{c}\cap F)\\=0.42+0.12\\=0.54$

The probability of a favorable product is 0.54.

The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

(1)

Compute the value of P (S|F) as follows:

$P(S|F)=\frac{P(S\cap F)}{P(F)}=\frac{0.42}{0.54}=0.7778$

Thus, the probability of a successful product given the product is favorable is 0.7778.

(2)

Compute the value of $P(S|F^{c})$ as follows:

$P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}=\frac{0.11}{(1-0.54)}=0.2391$

Thus, the probability of a successful product given the product is unfavorable is 0.2391.

(3)

Compute the value of $P (S^{c}|F)$ as follows:

$P (S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F)}=\frac{0.12}{0.54}=0.2222$

Thus, the probability of a unsuccessful product given the product is favorable is 0.2222.

(4)

Compute the value of $P (S^{c}|F^{c})$ as follows:

$P (S^{c}|F)=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}=\frac{0.35}{(1-0.54)}=0.7609$

Thus, the probability of a unsuccessful product given the product is favorable is 0.7609.

8 0

3 years ago