Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?

Answer:

The answer is in the above attachment.

Answer:

5/28

Step-by-step explanation:

First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.

The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.

Using the Poisson distribution, it is found that the probabilities are:

a) 0.149

b) 0.6993

c) 0.5503

We are given only the mean, hence, the Poisson distribution is used.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

The mean is of 7 births per minute, hence [tex]\mu = 7[/tex].

Item a:

The probability is P(X = 6), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 6) = \frac{e^{-7}(7)^{6}}{(6)!} = 0.149[/tex]

Item b:

This probability is:

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which:

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

Following the logic used in item a to find each probability, we have that [tex]P(X < 6) = 0.3007[/tex], hence:

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.3007 = 0.6993[/tex]

Item c:

This probability is:

[tex]P(X > 6) = 1 - P(X \leq 6)[/tex]

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

We have that [tex]P(X \leq 6) = 0.4497[/tex], hence:

[tex]P(X > 6) = 1 - P(X \leq 6) = 1 - 0.4497 = 0.5503[/tex]

A similar problem is given at https://brainly.com/question/16912674

Answer:

12/9+3 4/3 = 5 2/3 or 17/3

Step-by-step explanation:

Answer:

its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.

Step-by-step explanation:

Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

Answer:

22

Step-by-step explanation:

Answer:

hey there!

Step-by-step explanation:

FIRST QUESTION

3.75

10%= 0.375

20%= 0.75

3.75 + 75 = 4.50

$4.50

SECOND QUESTION

18/100 = X/154

X/154 = 18/100

X*154/154 = 18*154/100

X = 2772/100

X = 27.72

154- 27.72 = 126.28

$126.28

Answer:

3

Step-by-step explanation:

The slope formula is m=y2-y1/x2-x1

y2 is 71

y1 is 65

x2 is 7

x1 is 5

71-65 is 6

7-5 is 2

So the slope looks like this:

6/2

Simplify:

Which is 3

Hope this helps!

Answer:

2x^3-2x^2+x

Step-by-step explanation:

Just trust me!

Answer:

x=6

y=9

Step-by-step explanation:

Answer:

11/15

Step-by-step explanation:

11/20 / 3/4

11/20*4/3

44/60

22/30

11/15

Answer:

15/11

Step-by-step explanation:

3/4 divided by 11/20?

Reduce the expression, if possible, by canceling the common factors.

Exact Form: 15/11

decimal form: 1.36

mixed number form: 1 4/11

Answer:

Step-by-step explanation:

17

343.23 /18 is 19.0683333333

so the closest number to that is 17, if not try 23!

Answer:

[tex]-7y[/tex]

Step-by-step explanation:

Our equation is:

[tex]\left(1x-5y\right)-1\left(x+2y\right)[/tex]

First we dritribute

Now we have, [tex]x-5y-x-2y[/tex]

[tex]Combine[/tex] light terms

and we get [tex]-7y[/tex]

Answer:

The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A

Answer:

we need 6 cups of cranberry juice for 12 gallons of punch

Answer:

x is 4, and y is 3

Step-by-step explanation:

Answer: 4 gallons

Step-by-step explanation:

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

Answer:

[tex]3(n+5)=-30[/tex]

Step-by-step explanation:

1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.

2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].

3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].

Answer:

xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung

Step-by-step explanation:

Answer:

The mystery divisor is 18

Step-by-step explanation:

In the beginning, I found it by simply dividing the dividend by the quotient which gave me the divisor of 18. You can start the division equation again and add in the divisor 18 and it'll give you the exact answer.

Another way you'll know it's correct, is by dividing the dividend by that divisor and it'll give you the quotient 225 just like in the image.

Answer:

The answer is 10!

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.

[LARGE RECTANGLE]

A = w * l = 2 * 5 = 10 ([tex]units^{2}[/tex])

[SMALLER TRIANGLE]

A = w * l = 3 * 2 = 6 ([tex]units^{2}[/tex])

[QUARTER CIRCLE]

A * [tex]\frac{1}{4}[/tex] = πr² * [tex]\frac{1}{4}[/tex] = 3 * 3 * π * [tex]\frac{1}{4}[/tex]  = 7 ([tex]units^{2}[/tex])

Answer:

Step-by-step explanation:

the absolute value bars mean we ignore the sign of the variable

As (a) is always positive for a>0,   |a| = a

For contrast, If the range were a<0 where (a) is always negative, then |a| = -a

Answer:

1/a > 0

Step-by-step explanation:

Answer:

5 minimum 32 maximum

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

Answer:

should be x > 4

Step-by-step explanation:

[tex]\stackrel{\textit{something added to it}}{\boxed{\cfrac{}{} \qquad }+\cfrac{2}{7}}\implies \stackrel{\textit{will be greater than }\frac{2}{7}}{\cfrac{2}{7}+\textit{that something}}[/tex]

Answer:

Step-by-step explanation:

1. When the number of kilograms of paper is doubled, the points will be doubled

2. 300÷ 5 = 60

They have to collect 60 Kg of papers to earn 300 points.

3) P = 5*n

P = 5n

4) We are not only reducing the waste, the collected paper can be reused  or can be sent to recycling centers.

The probability that exactly 6 are sedimentary is 0.00002

If there is a total of 8 sedimentary rocks, the total outcome will be expressed as:

26C8 = 26!/(26-8)!8!

26C8 = 1562275

If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;

8C6 = 8!/(8-6)!6!

8C6 = 28

Pr(exactly 6 are sedimentary ) = 28/1562275

Pr(exactly 6 are sedimentary ) = 0.000017922

Hence the probability that exactly 6 are sedimentary is 0.00002

Learn more on probability here: https://brainly.com/question/13604758

Step-by-step explanation:

Given function:

See the graph below

According to the graph we see that

The minimum is (-4, -1) and zero's are (-5, 0) and (-3, 0)

Function is positive:

Negative:

Increasing:

Decreasing:​