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
Grace [21]
2 years ago
9

If Claire earns $75 the next week from delivering newspapers and deposits in her account, what will her account balance be then?

Mathematics
2 answers:
Molodets [167]2 years ago
8 0
$75 deposit means to put in money
Advocard [28]2 years ago
4 0

Answer:

75$

Step-by-step explanation:

if she already has a amount of money in her account just add that to 75$

You might be interested in
John is making tacos for himself and 17 friends. For every 3 people John uses 5 tomatoes. How many tomatoes will John use in all
RUDIKE [14]

Answer:

30 tomatoes

Step-by-step explanation:

The number is 18 instead of 17 because you include John

18/3

<u>Solve</u>

6

Because we're trying to find how many TOMATOES John uses for every THREE people, we multiply by five LAST.

6 x 5

<u>Solve</u>

30

4 0
2 years ago
Segment EF is the midsegment of trapezoid ABCD. Find the length of segment EF if segment AB is 20 and segment CD is 12.
Vika [28.1K]

Midsegment = 1/2(base1 + base2)

EF = 1/2(AB + CD)

EF = 1/2(20 + 12)

EF = 1/2(32)

EF = 16

Answer

EF = 16

7 0
2 years ago
Read 2 more answers
Standard form? Help plz
prisoha [69]
The answer is 5x + 76y
There is no complete standard form because there is no value for x or y given.
3 0
3 years ago
A roll of fabric was 120 inches long. A customer bought 2 feet of the fabric.
MAVERICK [17]

the correct answer is OB. 7.

7 0
3 years ago
Read 2 more answers
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β =
stich3 [128]

I'm assuming \alpha is the shape parameter and \beta is the scale parameter. Then the PDF is

f_X(x)=\begin{cases}\dfrac29xe^{-x^2/9}&\text{for }x\ge0\\\\0&\text{otherwise}\end{cases}

a. The expectation is

E[X]=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\frac29\int_0^\infty x^2e^{-x^2/9}\,\mathrm dx

To compute this integral, recall the definition of the Gamma function,

\Gamma(x)=\displaystyle\int_0^\infty t^{x-1}e^{-t}\,\mathrm dt

For this particular integral, first integrate by parts, taking

u=x\implies\mathrm du=\mathrm dx

\mathrm dv=xe^{-x^2/9}\,\mathrm dx\implies v=-\dfrac92e^{-x^2/9}

E[X]=\displaystyle-xe^{-x^2/9}\bigg|_0^\infty+\int_0^\infty e^{-x^2/9}\,\mathrm x

E[X]=\displaystyle\int_0^\infty e^{-x^2/9}\,\mathrm dx

Substitute x=3y^{1/2}, so that \mathrm dx=\dfrac32y^{-1/2}\,\mathrm dy:

E[X]=\displaystyle\frac32\int_0^\infty y^{-1/2}e^{-y}\,\mathrm dy

\boxed{E[X]=\dfrac32\Gamma\left(\dfrac12\right)=\dfrac{3\sqrt\pi}2\approx2.659}

The variance is

\mathrm{Var}[X]=E[(X-E[X])^2]=E[X^2-2XE[X]+E[X]^2]=E[X^2]-E[X]^2

The second moment is

E[X^2]=\displaystyle\int_{-\infty}^\infty x^2f_X(x)\,\mathrm dx=\frac29\int_0^\infty x^3e^{-x^2/9}\,\mathrm dx

Integrate by parts, taking

u=x^2\implies\mathrm du=2x\,\mathrm dx

\mathrm dv=xe^{-x^2/9}\,\mathrm dx\implies v=-\dfrac92e^{-x^2/9}

E[X^2]=\displaystyle-x^2e^{-x^2/9}\bigg|_0^\infty+2\int_0^\infty xe^{-x^2/9}\,\mathrm dx

E[X^2]=\displaystyle2\int_0^\infty xe^{-x^2/9}\,\mathrm dx

Substitute x=3y^{1/2} again to get

E[X^2]=\displaystyle9\int_0^\infty e^{-y}\,\mathrm dy=9

Then the variance is

\mathrm{Var}[X]=9-E[X]^2

\boxed{\mathrm{Var}[X]=9-\dfrac94\pi\approx1.931}

b. The probability that X\le3 is

P(X\le 3)=\displaystyle\int_{-\infty}^3f_X(x)\,\mathrm dx=\frac29\int_0^3xe^{-x^2/9}\,\mathrm dx

which can be handled with the same substitution used in part (a). We get

\boxed{P(X\le 3)=\dfrac{e-1}e\approx0.632}

c. Same procedure as in (b). We have

P(1\le X\le3)=P(X\le3)-P(X\le1)

and

P(X\le1)=\displaystyle\int_{-\infty}^1f_X(x)\,\mathrm dx=\frac29\int_0^1xe^{-x^2/9}\,\mathrm dx=\frac{e^{1/9}-1}{e^{1/9}}

Then

\boxed{P(1\le X\le3)=\dfrac{e^{8/9}-1}e\approx0.527}

7 0
2 years ago
Other questions:
  • Please please help asap
    7·2 answers
  • What’s the equation of a line that passes through (-6,5) (-3,-3)
    7·1 answer
  • I need help with #7, I am not sure how to solve it and what interval means
    10·1 answer
  • What is 7/8 days in hours​
    8·1 answer
  • Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not? Yes, because AB an
    15·2 answers
  • What is the value of x
    5·1 answer
  • BONUS, Factor 1 - 64x^3 completely,
    11·1 answer
  • Identify the graph of y = x3.<br> 4<br> 2<br> -2<br> -4<br> -<br> 4<br> 2<br> Intro
    13·1 answer
  • CAN sb HELP MI &gt;_&gt;<br> what it 0.00000000000000035467 in the scientific notation
    5·1 answer
  • Hi would you be able to help me ignore my work
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!