I need to distribute 5(y+3)=35

Please help me with 9 I really need it

MissTica

Answer:

605 boys

Step-by-step explanation:

If the ratio of boys to girls is 5:7

and there are 847 girls

we can plug this value into the ratio by doing something like:

5:7

= 5/7

= x/847

Because the ratio has to be the same, we can substitute x for the number of boys and solve by the cross method or whatever you guys call it.

5 x

--- x ------

7 847

The x in the middle is just to show the direction you are multiplying.

the 5 is multiplied by the 847 and the 7 is multiplied by x.

847 * 5 = 4,235

4,235 divided by 7 is 605

605 is your answer.

The cross method can be used in most situations.

* is used to represent multiplication btw

4 0

2 years ago

Select all the common denominators for

Vitek1552 [10]

Answer:

B, E

Step-by-step explanation:

There are a few ways to check for common denominator.

Here is one method

Take the 4 and 10 and see if both numbers will go into the numbers evenly. If they do, it is a common denominator

Will 4 and 10 divide evenly into 10 ?

4 will not go into 10 evenly

10 is not a common denominator.

Will 4 and 10 divide evenly into 20?

4 will go into 20 evenly. 20 /4 = 5

10 will go into 20 evenly 20 / 10 = 2

So 20 is a common denominator

Will 4 and 10 divide evenly into 24?

4 will go into 24 evenly 24 / 4 = 6

10 will not go into 24 evenly

24 is not a common denominator

Will 4 and 10 divide evenly into 32?

4 will go into 32 evenly 32 / 4 = 8

10 will not go into 32 evenly

32 is not a common denominator

Will 4 and 10 divide evenly into 40?

4 will go into 40 evenly 40/4 = 10

10 will go into 40 evenly 40 / 10 = 4

40 is a common denominator

3 0

2 years ago

Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 18 had black hair, 22 had brown ha

Taya2010 [7]

Yes. 18/60 = 9/30 = 3/10.

5 0

2 years ago

10 points

Sergeu [11.5K]

Step-by-step explanation:

The mode is 7 because it is 5 times

8 0

3 years ago

In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

2 years ago