You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences.

Answer:

Option B

Step-by-step explanation:

Given that milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup.

Let x cups of milk be mixed with 1 cup of cream

Total fat in the mixture = 0.02x+0.18

=6% of x+1 = 0.06(x+1)

i.e. 0.02x+0.18 =0.06x+0.06

0.04x = 0.12

x =3

So 3 cups of milk and 1 cup of cream would be mixed

Or B) 1/4 cup cream would be mixed

The equation of line which passes through (3, 1) and perpendicular to y = -3x + 2 is;

⇒ x = 3y

Here,

Given that;

The point is (3, 1).

We have to find the equation which passes through (3, 1) and perpendicular to y = -3x + 2.

What is equation of line passes through a point?

Equation of line passes through a point (a, b) with slope m is;

⇒ (y - a) = m (x - b)

Now,

As it is perpendicular to y = -3x + 2 and the slope of this is m₁ = -3,

Hence, the slope of to find line is m₂ = -1 / -3 = 1/3

We have the general equation of a line;

( y - y₁ ) = m₂ (x - x₁)

Where, ( x₁ , y₁ ) = (3, 1) and m₂ = 1/3

So, after putting all values we get;

( y - 1 ) = 1/3 ( x - 3)

3 (y - 1) = (x - 3)

3y - 3 = x - 3

3y = x

x = 3y

Hence, The equation of line which passes through (3, 1) and perpendicular to y = -3x + 2 is;

⇒ x = 3y

Learn more about the equation of line visit:

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Answer:

yes

Step-by-step explanation:

Answer:

g = h(s-p)

Step-by-step explanation:

1. find the variable of interest — It is in the numerator of one of two terms on the right side of the equation
2. subtract every term on that side not containing the variable — subtract p to get s-p = g/h
3. multiply by the inverse of the coefficient of the variable of interest — the coefficient is 1/h, so we multiply by h to get ... h(s-p) = g
4. rearrange to the desired form. Here, it is probably OK to leave the parentheses and to simply put g on the left

g = h(s -p)

Answer:

(s-p)*h =g

Step-by-step explanation:

s = p + g/h

Subtract p from each side

s-p = p=p + g/h

s-p = g/h

Multiply by h

(s-p) *h =g/h *h

(s-p)*h =g