2y-4=y+3<br><br> Value of y?

A 10-ounce box of cereal costs $3. A 20-ounce box of the same cereal costs $5. A third box of the same cereal costs $8. Calculat

kogti [31]

Answer:

number of ounces in the third box = 32 ounces

Step-by-step explanation:

The number of ounces is directly proportional to the cost

Let O represent the number of ounces, C represent the cost

O∝C----------------Eqn 1

O = KC

K = O÷C = 20/5 = 4

Hence number of ounces in the third box = 4 × 8 = 32 ounces

7 0

4 years ago

If the subjective probability that it will rain is 45%, what is the probability that it will not rain

vovikov84 [41]

Answer:

There is a 55% chance that it won't rain.

7 0

3 years ago

Jamie has $114.56 in her savings and count and her bank just raised the interest paid on her savings account by 1/2%. if her old

zaharov [31]

Answer:

0.5025%

Step-by-step explanation:

The question is on increase and decrease

The old interest rate= .5%⇒0.5%

percentage increase= 1/2%= 0.5%

New rate= it requires you to increase 0.5 by 0.5%

New rate is ⇒100%+ 0.5%=100.5%

New rate⇒(100.5/100)×0.5 =0.5025

New rate as a decimal is 0.5025%

5 0

3 years ago

Please help me, i only have 30 mins.

Aleks04 [339]

Answer:

Width is 24, length is 40

Step-by-step explanation:

64 can be split into 8 groups of 8, and the 8 groups can be split into 3 and 5. Then, take 3 x 8 for the width and 5 x 8 for the length, and you have the answer! I wish to you best of luck!

4 0

2 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$