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babunello [35]
2 years ago
12

Simplify the ratio 15:65:40

Mathematics
1 answer:
rjkz [21]2 years ago
8 0

Answer:

3:13:8

Step-by-step explanation:

Divide each number by the highest common factor, which is 5 in this case.

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A probability experiment will consist of selecting one of two stacks of cards, and then choosing a card at random from the stack
postnew [5]

Answer:

The probability that the red card came from the first stack is:

40%

Step-by-step explanation:

a) Data and Calculations:

Stack         Red      Blue   Total

First            6           5         11

Second      9            0         9

Total         15            5       20

The probability of selecting from the first stack = 50% since equal opportunity is given to the two sacks.

The probability of red card from the first stack = 6/15 = 0.4 = 40%.

b) The probability that the red card came from the first stack is given by the number of red cards in the first stack divided by the number or red cards in the two stacks.  This is equal to 6/15 = 0.4 or 40%.

4 0
2 years ago
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
MAVERICK [17]

3y=−4x+2

y = -4x/3 + 2/3

y = 3x/4 + 2/3

so the slope is 3/4 remember that perpendicular slope is just the opposite reciprocal of the original slope given.

8 0
3 years ago
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

Z = \frac{X - \mu}{\sigma}

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

Z = \frac{X - \mu}{\sigma}

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

Z = \frac{X - \mu}{s}

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

Z = \frac{X - \mu}{s}

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
What are the domain and range of f(x) =4^x-8
Nutka1998 [239]
The domain in this equation is -7<x<infinty and the range is negative infinty<y<1.5
6 0
3 years ago
Which expression is equal to 4 (2+3) ?<br><br><br> 1. 2+12<br> 2. 4+5<br> 3. 8+3<br> 4. 8+12
allsm [11]
4. 8+12=20

4 (2+3)
First you add 2+3 and get 5
Next, since the 5 is now in the parentheses, it indicates that you have to multiply
Finally, 5 times 4=20
5 0
3 years ago
Read 2 more answers
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