Which of the following is divisible by 5, 6, and 7? 1,260 12,175 11,394 16,826

Can anyone fill these out?

Tcecarenko [31]

Answer:

Part (a)

36

Part (b)

Find the filled table in the attachment

Part (c)

1/36

Step-by-step explanation:

The total number of possible outcomes using the multiplicative rule is given by;

6*6 = 36.

There are 6 possible outcomes in rolling each die, we simply find the product.

The probability of rolling double sixes is given by;

pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36

The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.

8 0

3 years ago

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How m

exis [7]

Answer:

a) Write a let statement below to define your variable(s):

Let the number of fishes Ms. Montesinos has be represented by = f

b) Set up an equation using the variable you defined in (a):

The equation is :

3f - 2 = 13

c) Solve your equation & Check. How many fish does Ms. Montesinos have?

Ms. Montesinos has 5 fishes

Step-by-step explanation:

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?

a) Write a let statement below to define your variable(s):

Let the number of fishes Ms. Montesinos has be represented by = f

b) Set up an equation using the variable you defined in (a):

We are told in the question:

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has.

Therefore,

3× f - 2 = 11 + 2

The equation is :

3f - 2 = 13

c) Solve your equation & Check. How many fish does Ms. Montesinos have?

Solving the above equation:

3f - 2 = 13

3f = 13 + 2

3f = 15

Divide both sides by 3

3f/3 = 15/3

f = 5

Hence, Ms. Montesinos has 5 fishes

4 0

3 years ago

Find a cubic polynomial in standard form with real coefficients, having the zeros 4 and 5i. Let the leading coefficient be 1.

SCORPION-xisa [38]

If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is $x^{2} +25$ . Now we will multiply in that last factor of (x-4): $(x^2+25)(x-4)$ . FOILing out we have $x^3-4x^2+25x-100$ . There you go!

3 0

3 years ago

Point J is located at (-4,4)

rewona [7]

What is the question?

4 0

3 years ago

Mary gave her brother 1/4 of her plums and her sister 1/3 of her plums.Mary remained with 20 plums.Caluculate how many plums mar

Lorico [155]

Answer:

Step-by-step explanation:

Let x be the number plums that Mary had

Number of plums received by her brother = (1/4) of x =(1/4)x

Number of plums received by her sister = (1/3)x

Remaining plums is 20.

Total plums - (plums given to brother + plums given to sister) = 20

$x-(\frac{1}{4}x+\frac{1}{3}x)=20\\\\x-\frac{1}{4}x-\frac{1}{3}x=20\\\\\frac{1*12}{1*12}x-\frac{1*3}{4*3}x-\frac{1*4}{3*4}x=20\\\\\frac{12}{12}x-\frac{3}{12}x-\frac{4}{12}x=20\\\\\frac{12-3-4}{12}x=20\\\\\frac{5}{12}x=20\\\\x=20*\frac{12}{5}\\\\x=4*12\\\\x=48$

Number of plums with Mary = 48

Number of plums received by brother= (1/4)*48 = 12 plums

Number of plums received by sister = (1/3)*48 = 16 plums

16 - 12 = 4

Her sister received 4 plums more than her brother

5 0

3 years ago