All categories

2 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

<u>Step-by-step explanation:</u>

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

You might be interested in

According to the US Census, Virginia had about 7.1 million residents in 2000. Of those, 24.6% were under age 18. To the nearest

Mazyrski [523]

7.1 Million × 0.246 = 1.7466 = 1.7 Million

4 0

3 years ago

1. The description "Y is 4 more than the opposite of X" is represented by

Vladimir [108]

I believe it is y= -x + 4

4 0

2 years ago

Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f

Marrrta [24]

Answer:

$\frac{48}{r+9}=\frac{12}{r}$

Step-by-step explanation:

Let r represent Linda's walking rate.

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be $t+9$ miles per hour.

$\text{Time}=\frac{\text{Distance}}{\text{Rate}}$

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

$\text{Time while riding}=\frac{48}{r+9}$

$\text{Time taken while walking}=\frac{12}{r}$

Since both times are equal, so we will get:

$\frac{48}{r+9}=\frac{12}{r}$

Therefore, the equation $\frac{48}{r+9}=\frac{12}{r}$ can be used to solve the rates for given problem.

Cross multiply:

$48r=12r+108$

$48r-12r=12r-12r+108$

$36r=108$

$\frac{36r}{36}=\frac{108}{36}$

$r=3$

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be $t+9\Rightarrow 3+9=12$ miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

7 0

3 years ago

Aaron has a triathlon. Sunday he bikes 12 5/8 miles and swims 5 2/3 miles. Monday, he runs 6 3/8 miles. How many total miles Aar

Alla [95]

Let’s put these into one fraction each:

Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles

Swimming:
= (5*2)/3 miles
= 10/3 miles

Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4

Now we add all the distances up:
= (15/2) + (10/3) + (9/4)

Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.

Hope this helps!

4 0

3 years ago

Which polynomial is a perfect square trinomal x^2 -6x +9 b) x^2 -2x +4 c) x^2 +5x +10 d) x^2 +4x +16

cestrela7 [59]

I hope this helps you

3 0

2 years ago