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
Elanso [62]
3 years ago
5

Four friends made 55 cupcakes and shared them equally.how many cupcakes did each friend get? PLZ HELP ME:(

Mathematics
2 answers:
Drupady [299]3 years ago
6 0

Answer:

13 3/4 cupcakes for each person

Step-by-step explanation:

55 cupcakes and 4 friends

55/4 = 13 3/4

Sveta_85 [38]3 years ago
4 0

Answer:

<u>13.75</u>

Step-by-step explanation:

Each friend got 13 cupcakes and 3/4 of a cupcake.

55/4 = 13.75

Have a nice day!

You might be interested in
Rewrite the sequence in the function form 2,6,18,54
pychu [463]

Answer:

an = 2⋅3n − 1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose X and Y are random variables with joint density function. f(x, y) = 0.1e−(0.5x + 0.2y) if x ≥ 0, y ≥ 0 0 otherwise (a) I
Hatshy [7]

a. f_{X,Y} is a joint density function if its integral over the given support is 1:

\displaystyle\int_{-\infty}^\infty\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=\frac1{10}\int_0^\infty\int_0^\infty e^{-x/2-y/5}\,\mathrm dx\,\mathrm dy

=\displaystyle\frac1{10}\left(\int_0^\infty e^{-x/2}\,\mathrm dx\right)\left(\int_0^\infty e^{-y/5}\,\mathrm dy\right)=\frac1{10}\cdot2\cdot5=1

so the answer is yes.

b. We should first find the density of the marginal distribution, f_Y(y):

f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\frac1{10}\int_0^\infty e^{-x/2-y/5}\,\mathrm dy

f_Y(y)=\begin{cases}\dfrac15e^{-y/5}&\text{for }y\ge0\\\\0&\text{otherwise}\end{cases}

Then

P(Y\ge8)=\displaystyle\int_8^\infty f_Y(y)\,\mathrm dy=e^{-8/5}

or about 0.2019.

For the other probability, we can use the joint PDF directly:

P(X\le5,Y\le8)=\displaystyle\int_0^5\int_0^8f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=1+e^{-41/10}-e^{-5/2}-e^{-8/5}

which is about 0.7326.

c. We already know the PDF for Y, so we just integrate:

E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5

5 0
3 years ago
The partial pressure of oxygen PaO2 is a measure ofthe amount of oxygen in the blood. Assume that the distribution ofPaO2 levels
Rus_ich [418]

Answer: a) 0.8665

b) 0.8190

Step-by-step explanation:

Given : The partial pressure of oxygen PaO2 is a measure ofthe amount of oxygen in the blood. Assume that the distribution ofPaO2 levels among newborns has a \mu=38 mmHg and \sigma= 9 mmHg.

If we take a random sample n= 25 newborns, then  using formula z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}, we have

At x= 36

z=\dfrac{36-38}{\dfrac{9}{\sqrt{25}}}\approx-1.11

At x= 41

z=\dfrac{36-38}{\dfrac{9}{\sqrt{25}}}\approx1.67

Using table for z-values, the probability that the sample mean will be greater than 36 :

P(z>-1.11)=1-P(\leq-1.11)=1-(1-P(z\leq1.11))=P(z\leq1.11)=0.8665004\approx0.8665

The probability that the sample mean will be between 36 and 41 :-

P(-1.11

4 0
3 years ago
Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt h
Sophie [7]

Answer:

  • 6 hours

Step-by-step explanation:

<u>We know that:</u>

  • Samantha = 15 + 2x
  • Matt = 3 + 4x
  • Samantha = Matt
  • [x = Number of hours]

<u>Solution:</u>

  • 15 + 2x = 3 + 4x
  • => 15 - 3 = -2x + 4x
  • => 12 = 2x
  • => x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.

7 0
2 years ago
Create a method of illustrating AAS using string and a protractor
DENIUS [597]

Answer:24/67

Step-by-step explanation:

6 0
4 years ago
Other questions:
  • A hat contains cards with different colors. annabella randomly selects a card from the hat and returns the card to the hat after
    12·2 answers
  • It is 185 miles to Fort Worth. If Vang drives 2 hours at 65 miles per hour, how far will he be from Fort Worth? 5. Write and sol
    15·1 answer
  • 1. How many types of terms are there? ​
    8·1 answer
  • 5g+3(-7+5g)=1-g<br> g equals what?
    9·1 answer
  • I NEED HELP ASAP PLEASEE
    15·1 answer
  • Round 398.574986215 to the nearest ten-thousand
    10·2 answers
  • Given circle o, what is the length of arc AB if m AOB =40° ?<br> Radius is 9
    8·1 answer
  • Yummy Donuts gave three dozen chocolates donuts and four dozens jelly donuts to the school. How many donuts did they give?
    8·1 answer
  • If x and y are positive integers and if x/y=1 and (x+y)squared=z which of the following can equal z?
    9·1 answer
  • Need help with math problem give 5 stars and a good rating
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!