1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
guapka [62]
2 years ago
10

A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work offic

e. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut
Mathematics
1 answer:
Svetlanka [38]2 years ago
7 0

Probabilities are used to determine the chances of selecting a kind of donut from the box.

The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068

The given parameters are:

\mathbf{Bars = 6}

\mathbf{Chocolate = 3}

\mathbf{Custard= 3}

The total number of donuts in the box is:

\mathbf{Total= 6 + 3 + 3}

\mathbf{Total= 12}

The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}

So, we have:

\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}

Simplify

\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}

Multiply

\mathbf{Pr = \frac{9}{132}}

Divide

\mathbf{Pr = 0.068}

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068

Read more about probabilities at:

brainly.com/question/9000575

You might be interested in
What is the pattern you see when counting by tens
xxTIMURxx [149]
Each number is increased by ten... umm idk any other answer you want

8 0
2 years ago
Read 2 more answers
Helppppp plsssss!!!<br><br>Thanks!!
Anvisha [2.4K]

Answer:

D

Step-by-step explanation:

using the rule of exponents

• (a/b)^{n} = a^{n} / b^{n}, hence

(7/4)^{11} = 7^{11} / 4^{11} → D



8 0
3 years ago
Need help with this pls show work
Gemiola [76]

Answer:

Ron got 3 additional toppings

Step-by-step explanation:

Lets call the amount of toppings that Ron got t. With this, we can set up the following equation:

8.95+0.65t=10.90

Subtract 8.95 from both sides:

0.65t=1.95

Divide both sides by 0.65:

t=3

Hope this helps!

6 0
3 years ago
Read 2 more answers
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specime
Shalnov [3]

Answer:

We conclude that the true average percentage of organic matter in such soil is different from 3%.

Step-by-step explanation:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.616, respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

<em>Let </em>\mu<em> = true average percentage of organic matter in such soil</em>

SO, <u>Null Hypothesis</u>, H_0 : \mu = 3%   {means that the true average percentage of organic matter in such soil is equal to 3%}

<u>Alternate Hypothesis</u>, H_A : \mu \neq 3%   {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is <u>One-sample t test statistics</u> because we don't know about the population standard deviation;

                           T.S.  = \frac{\bar X -\mu}{{\frac{s}{\sqrt{n} } } }  ~ t_n_-_1

where,  \bar X = sample mean amount of organic matter = 2.481%

              s = sample standard deviation = 1.616%

              n = sample of soil specimens = 30

So, <u><em>test statistics</em></u>  =  \frac{0.02481-0.03}{{\frac{0.01616}{\sqrt{30} } } }  ~ t_2_9

                               =  -1.759

<u></u>

<u>Now, P-value of the test statistics is given by;</u>

       P-value = P( t_2_9 > -1.759) = <u>0.046</u> or 4.6%

  • If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.
  • If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

<em>Now, here the P-value is 0.046 which is clearly smaller than the level of significance of 0.05 (for two-tailed test), so we will reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

3 0
3 years ago
Adding and subtracting fractions 3/5 + 4/7
svlad2 [7]

Answer:

1 and 6/35

Step-by-step explanation:

You would want to multiply the denominators with the same number.

5×7

Multiply the numerators as well.

3×7 and 4×5

The fractions you would have now is 21/35 and 20/35, you can now add them up without having difficulties if the denominator is the same number.

You can also change it into decimals but I suggest this strategy.

8 0
3 years ago
Other questions:
  • Which of these debts could possibly be forgiven under Chapter 7 bankruptcy? A. Credit Card Debt B. Child Support C. Alimony D. A
    11·2 answers
  • What is the equation of the graphed line?<br> (2,6),(-64,-)<br><br> ____________
    10·1 answer
  • A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
    12·1 answer
  • Bonita said that the product of 5/6× 1 2/3 is 7/3.<br> How can you tell that her answer is wrong?
    10·1 answer
  • Cardinal Corporation, a calendar year taxpayer, receives dividend income of $250,000 from a corporation in which it holds a 10%
    10·1 answer
  • A sewer line drops 1 foot every 40 feet. How many feet will it drop over a distance of 100 feet
    6·2 answers
  • It take 23 minutes for 6 people to paint 6 walls.How many minutes does it take 9 people to paint 9 walls
    15·1 answer
  • I need help with number 10 ASAP plzz
    12·1 answer
  • X=8<br><br> THE DIRECTIONS ARE ON THE TOP
    8·2 answers
  • Which statment explains how to round 4,826 to the nearest hundred?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!