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2 years ago

Write the equation in function form: 8x + 4y = 20

1 answer:

3 0

The answer is f(x) = 5 - 2x

Function form means just replace y with f(x).

So given 8x + 4y = 20:

Subtract 8x
4y = 20 - 8x

Divide both sides by 4
y = 5 - 2x

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You roll 4 fair, distinguishable, six-sided dice. What is the probability of rolling :______

Vikentia [17]

Answer:

a)0.25

b)0.375

Step-by-step explanation:

Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6

Even= 2,4,6

Odd = 1 ,3 , 5

Probability of getting even = $\frac{3}{6}=\frac{1}{2}$

Probability of getting odd = $\frac{3}{6}=\frac{1}{2}$

4 dices are rolled together

a)P(3 even and 1 odd numbers)

P(3 even and 1 odd numbers)= $^4C_3 (\frac{1}{2})^3 (\frac{1}{2})^1$

P(3 even and 1 odd numbers)= $\frac{4!}{3!1!} (\frac{1}{2})^3 (\frac{1}{2})^1 =0.25$

b)P(2 even and 2 odd numbers)

P(2 even and 2 odd numbers)= $^4C_2 (\frac{1}{2})^2 (\frac{1}{2})^2$

P(3 even and 1 odd numbers)= $\frac{4!}{2!2!} (\frac{1}{2})^2 (\frac{1}{2})^2$ =0.375

6 0

2 years ago

What is the theoretical probability that a coin toss results in two heads showing?

myrzilka [38]

Answer:

Very likely

Step-by-step explanation:

(1/2)x2=1

8 0

3 years ago

F(x)=2x <br> 2<br> −x+9<br> \text{Find }f(4)<br> Find f(4)

Artemon [7]

Answer:

Step-by-step explanation:

f(x)=2x²−x+9

f(4)= 2(4)²-4+9

= 32-4+9

= 37

8 0

2 years ago

How do I solve this?

Korvikt [17]

The interior angles of any triangle always sum to 180°.

In the triangle, angles C and D are labeled congruent, so the missing angle has measure

180° - 2 (6x - 5)°

This angle is supplementary to the one labeled (11x + 1)°, which means

180° = (11x + 1)° + (180° - 2 (6x - 5)°)

Solve for x :

180° = (11x + 1)° + 180° - 2 (6x - 5)°

0 = (11x + 1)° - 2 (6x - 5)°

0 = (11x)° + 1° - (12x)° + 10°

(12x - 11x)° = 1° + 10°

x° = 11°

x = 11

5 0

2 years ago

402 students were surveyed about their preferences of sports. 113 students like football, 146 students like baseball, and 42 stu

Mama L [17]

First, we can combine the like terms here, which is 113 and 146 to get 259. Now, we turn it into a fraction to get 259/402, and that's your answer

6 0

3 years ago