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2 years ago

10

Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much

money did Doug pay for each
picture?

1 answer:

iren [92.7K]2 years ago

4 0

Around 16 dollars. 75-27=48. 48/3=16

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A ^2+b^2=c^2 solve for c

musickatia [10]

Take the root of both sides, and then solve.
c = sqrt a^2 + b^2, - sqrt a^2 + b^2.

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3 years ago

I need help with this mathh

Tju [1.3M]

Answer:

M=5

Step-by-step explanation:

2 ( 2m ) + 4 ( 4m + 2 ) = 108

step 1. do distributive property

4m + 16m + 8 = 108

step 2. add 4m and 16m and subtract 8 from 108

20m = 100

step 3. divide 100 by 20

m = 5

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3 years ago

Calculate the mean. 4, 5, 7, 7, 9, 12, 15, 20

Semmy [17]

Answer:

Mean: 9.875

Median: 8

Mode: 7

Minimum: 4

Maximum: 20

Range: 16

Size: 8

Sum: 79

Step-by-step explanation:

How to find the mean?

1. Count the number N of data points in your data set.

2. Sum up all of the data points in your data set (add them all together).

3. Average = Mean = Sum/N.

How to find the median ?

The median is the numeric value separating the upper half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle.

For the data set 1, 1, 2, 5, 6, 6, 9 the median is 5.

For the data set 1, 1, 2, 6, 6, 9 the median is 4. It is the mean of 2 and 6 or, (2+6)/2 = 4.

How to find the mode

Mode is the value or values in the data set that occur most frequently.

For the data set 1, 1, 2, 5, 6, 6, 9 the mode is 1 and also 6.

Hope this helps you! :D

5 0

2 years ago

Use this information for Items 5–7. There is a 60% probability of rain each of the next 5 days. Find each probability. Round to

ra1l [238]

Answer:

0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.

0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.

0.84 = 84% probability it will rain on at least 1 of the next 2 days.

Step-by-step explanation:

For each day, there are only two possible outcomes. Either it rains, or it does not. The probability of raining on a day is independent of any other day. This means that the binomial probability distribution is used 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.

There is a 60% probability of rain each of the next 5 days.

This means that $p = 0.6, n = 5$

Probability it will rain on at least 3 of the next 5 days:

This is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

So

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

$P(X = 0) = C_{5,0}.(0.6)^{0}.(0.4)^{5} = 0.0102$

$P(X = 1) = C_{5,1}.(0.6)^{1}.(0.4)^{4} = 0.0768$

$P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304$

So

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0120 + 0.0768 + 0.2304 = 0.3192$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.3192 = 0.6808$

0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.

Probability it will rain on at least 1 of the next 5 days:

This is:

$P(X \geq 1) = 1 - P(X = 0)$

From the above item, we have that $P(X = 0) = 0.0102$ . So

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0102 = 0.9898$

0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.

Probability it will rain on at least 1 of the next 2 days:

Two days means that $n = 2$ .

The probability is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{2,0}.(0.6)^{0}.(0.4)^{2} = 0.16$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.16 = 0.84$

0.84 = 84% probability it will rain on at least 1 of the next 2 days.

7 0

2 years ago

Heeeeelppp please for tomorrow

Misha Larkins [42]

Answer:

x=17

Step-by-step explanation:

The total degree of a hexagon is 720 degrees.

720-110-116=494.

(8x-1)+(6x-2)+(7x+19)+(5x+36)=494

x=17.

7 0

2 years ago

Read 2 more answers