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3 years ago

Stephen buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter

1 answer:

4 0

The probability that Stephen randomly selects a sugar cookie from the bag and eats it, then randomly selects a peanut butter cookie is 3/58 (or) 0.052

Step-by-step explanation:

The bag of cookies contain 9 chocolate chip cookies, 7 peanut butter

cookies, 6 sugar cookies and 7 oatmeal cookies.

Therefore, the total number of cookies in the bag = 9+7+6+7 = 29 cookies.

It is given that, Stephen randomly selects a sugar cookie from the bag and eats it.

The probability to select a sugar cookie = No.of sugar cookies / total

⇒ 6/29

After that, he randomly selects a peanut butter cookie. We know that the bag now contains 1 cookie less than the total cookies because Stephen ate one sugar cookie.

Therefore, the total number of cookies in the bag = 28 cookies.

Probability to select a peanut butter cookie = No.of peanut cookies / total

⇒ 7/28

⇒ 1/4

The total probability = P(sugar cookie) × P(peanut cookie)

⇒ (6/29) × (1/4)

⇒ 6/116

⇒ 3/58 (or) 0.052

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Distance between (8,-11) and (-6,9) to the nearest tenth

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Could you tell me what the question is?

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3 years ago

Find the slope of line passing through the two points, (7, 1) and (-2, 1).

Mamont248 [21]

Answer: m = 0

Step-by-step explanation:

Slope (m) = y2 - y1/,x2 - x1 : meaning increase in y divided by increase in x . it can also be written as ∆y/∆x

y1= 1, y2 = 1, x1 = 7, x2 = -2

Substitute for those values in the equation above

m = 1 -1/-2 - 7

= 0/-9

Therefore,

m = 0

The slope of the line passing through those coordinates = 0

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3 years ago

Write an expression in simplest form that represents the cost for shampooing and cutting w women's hair and m men's hair.

tensa zangetsu [6.8K]

Answer:

the cost of the women's haircut is $15 and to shampoo the woman's hair is $5

and the cost of the mens hair cut is $7 and to shampoo the mens hair is $2

15+5=$20 is how much it cost for the women.

7+2=$9 is how much it cost for the men.

Step-by-step explanation:

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3 years ago

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

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3 years ago

Read 2 more answers

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