Martha earns $24 in four hours. How much would she
earn in 10 hours?

Answer:

0.8046

Step-by-step explanation:

We're asked to calculate the probability that the job will be ready by 1.01 pm

From the question, we can note that the parameter of an Exponential is E(X)= 15

Next, to calculate the third job probability, we will have to use Poisson Distribution with parameter 1/λ

Therefore, E(Y) = 1/15

Then, The third job will be ready for 1:01 pm, and thus E(Y) = 61/15

Therefore, the required probability is

P(X ≥ 3) = 1 - P(X < 3)

= 1 - Poisson(3,4, true)

= 1 - 0.1954

= 0.8046

Answer:40

Step-by-step explanation:

Answer:

B. 40

Step-by-step explanation:

aapeexxxxxab

Answer:

turn it into an improper fraction then subtract

Step-by-step explanation:

5×6=30

30+1=31

31/6

3×6=18

18+5=21

21/6

31/6 - 21/6 = 10/6

simplify: 5/3 ♡

I'm not sure tho lol

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

Answer: 6 miles

Step-by-step explanation:

WEDNESDAY + FRIDAY (# OF MILES)

The Miles Covered by Each Lap = 3x

The Miles on Top of That = 6

TUESDAY + SUNDAY (# OF MILES)

The Miles Covered by Each Lap = 5x

The Miles on Top of That = 2

You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.

SOLVING EQUATION FOR MILES PER LAP

Step 1) 3x + 6 = 5x + 2

given equation from what we put together.

Step 2) -3x + 3x + 6 = 5x + 2 -3x

subtract 3x from both sides.

Step 3) -2 + 2x + 2 = 6 -2

subtract 2 from both sides.

Step 4) 2 × x = 4

divide both sides by 2 because you want to put the variable (x) on one side.

Step 5) x = 2 miles for each lap

Now you want to go look back at the equation and plug in 2 for the variable x.

Step 6) 5 ×2 + 2 = 12

PEMDAS!

Step 7) 12 ÷ 2 = 6

SHE RUNS 2 MILES ON SATURDAYS!

Answer:

[tex]y = Acos5x - Bsin5x[/tex]

Step-by-step explanation:

Given the differential equation y''-10y'+29y=0

First, we need to rewrite it as an auxiliary equation as shown:

Let y'' = m²y and y' = my

Substitute the values into the general equation

m²y-10my+29y = 0

Factor out y:

(m²-10m+29)y = 0 [The auxiliary equation]

Solve the auxiliary equation and find the roots of the equation

m²-10m+29 = 0

m = -b±√(b²-4ac)/2a

a = 1, b = -10, c = 29

m = -10±√(10²-4(1)(29))/2(1)

m = -10±√(100-116)/2

m = -10±√-16/2

m = (-10±4i)/2

m = -10/2 + 4i/2

m = -5+2i

Comparing the complex number with a+bi, a = -5 and b = 2

The general solution for complex solution is expressed as:

[tex]y = Acosax + Bsinax[/tex]

Substitute the value of a in the equation

[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]

Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]

Answer:

(g-f)(x)

Step-by-step explanation:

You have to subtract expenses from revenue and multiply by yarn to equal profit

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

Answer:

0.1241.

Step-by-step explanation:

So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.

So, we will be making use of the formula given below;

The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².

The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.

Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.

Answer:

1. Rational Algebraic Expression

2. 0

3. See explanation

Step-by-step explanation:

Solving (1):

From the list of given options, Option C. Rational Algebraic Expression answers the question.

And it is always of the form P/Q where P and Q are polynomials

Take for instance

P = x² - x + 2 and Q = x² + 2x - 4

P/Q = (x² - x + 2)/(x² + 2x - 4)

The above expression is a perfect example of a Rational Algebraic Expression

Solving (2): The denominator of a rational algebraic expression must not equal 0

Hence, option A answers the question

Solving (3): The options are missing.

However, a perfect example has been sighted on (1) above

Answer:

4.332 x 10 to the 3 power I do believe

Step-by-step explanation:

Answer:

4.332 times 10^3

Step-by-step explanation:

ion kno if thats right but i tried.

Answer:

1044 girls in the school

Step-by-step explanation:

3/5*2610=1566 boys

2610-1566-1044 girls

it should be 1044 because

3/5=.6 or 60%boys and 40% girls

2610 * 60% or .6 = 1566 boys

2610 - 1566boys = 1044 girls

or

2610 * 40% or .4 = 1044 girls

so there are 1044 girls at the school

Answer:

SCIENCE SEEMS MORE ACCURATE

Step-by-step explanation:

The interquartile range (IQR) = difference between the upper and lower quartile (Q3 - Q1)

The median can be estimated as :

(Q3 - IQR/2) or (Q1 + IQR/2).

FOR SCIENCE:

MEDIAN NUMBER = 5

IQR = 2

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 5 + 2/2 = 6

Q1 = median - IQR/2 = 5 - 2/2 = 4

FOR SPANISH:

MEDIAN = 10

IQR = 1

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 10 + 1/2 = 10.5

Q1 = median - IQR/2 = 10 - 1/2 = 9.5

Science has a lower median score and an interquartile range which is reasonable wider than Spanish with a larger median value (but a very narrow interquartile range).

Answer:

it will cost 5.99

Step-by-step explanation:

because each person getting half and there are 2 peeps so add up the meet to make on pound

Answer:

324.848

288.464

316.112

337.856

Step-by-step explanation:

Given that :

Mean (m) = 350

Standard deviation (σ) = 48

Determine the value of x for the following :

Using the z probability calculator :

a.) 70% of the values are greater than x.

1 - 0.7 = 0.3

P(x < 30%) = P(x < 0.3) = - 0.524 = z

Z = (x - m) / σ

x = (z * σ) + m

X = (- 0.524 * 48) + 350 = 324.848

b.) x is less than 10% of the values.

P(x < 0.1) = - 1.282 = z

X = (- 1.282 * 48) + 350 = 288.464

C.) 24% of the values are less than x

P(x < 0.24) = - 0.706 = z

X = (- 0.706 * 48) + 350 = 316.112

D.) x is greater than 60% of the values

P(x > 0.6) = -0.253 = z

X = (- 0.253 * 48) + 350 = 337.856

Answer:

The answer is D

Step-by-step explanation:

I took the test and got it right <3

Answer: The first question in the selection is correct!

Step-by-step explanation:

Answer:

If you are referring to the angle of the polygon, than it is the same, if you are referring to the angle between the initial and final point about the origin, than it's a right angle. If there is a point(x,y) rotated about the origin(0,0), then the new point will be (y,-x).

Answer:

m + 30 ; $36

Step-by-step explanation:

Given that:

Total fruits needed = 15

Fruits needed :

Apple (m) ; cost = $3 per piece

Oranges (o) ; cost = $2 per piece

Amount spent on fruits :

[(cost of apple * number of apples) + (cost of orange *(total fruits - number of apples)]

3m + 2(15 - m)

3m + 30 - 2m

3m - 2m + 30

m + 30

Amount spent if 6 apples is purchased :

m = 6

m + 30

6 + 30 = $36

Answer:

5+2 + 12/5 = $9.40

Step-by-step explanation:

Answer:

x =  - 2

Step-by-step explanation:

Distribute

4(x + 1) = -3x - 10

4x + 4 = -3x - 10

Subtract 4  from both sides of the equation

4x + 4 = -3x - 10

4x + 4 − 4 = −3x − 10 − 4

Simplify

Subtract the numbers

4x+4−4=−3x−10−4

4  =  − 3  − 1 0  −  4

Subtract the numbers  again

4  =  −  3  −  14

Add  3x  to both sides of the equation

4  =  −   3 x  −  1 4

4 + 3 = − 3 − 1 4 + 3

Simplify

Combine like terms

4 + 3 = -3x-14+3x

7x =−3x−14+3x

Divide both sides of the equation by the same term

7 = − 1 4

7 /7 = -14/7

Cancel terms that are in both the numerator and denominator

7x/7 = -14/7

x = -14/7

Divide the numbers

 =  − 1 4 /7

=  − 2

Answer:

56 inches I believe.

I'm not 100% sure.

The surface area is 50 square inches

Answer:

450

Step-by-step explanation:

9+6= 15

90/3= 30

30*15=450

The correct and complete question is shown below;

The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]

Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?

Answer:

The probability that the student's GMAT score is higher than 725 = 0.3928

Step-by-step explanation:

From the given information:

Let X be the random variable that follows a normal distribution;

Then;

[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]

To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]

[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]

[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]

By using the EXCEL FORMULA:  [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]

P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]

P(X< 725) = 0.9522

P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]

P(X< 710) =0.8783

[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]

[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]

[tex]P(X > 725 | X > 710)=0.3928[/tex]

Answer:

2nd) which is 4 multiplied by 5 multiplied by 2

Step-by-step explanation:

The snowball is spherical in nature

The total surface area of the ball = 4πr²

Or 4π(d/2)²

S = 4πd²/4

S = πd²

d is the diameter of the ball

The rate at which the area is decreasing is expressed as;

dS/dt = dS/dd • dd/dt

dd/dt is the rate at which the diameter is decreasing

dS/dd = 2πd

dS/dt = 2πd • dd/dt

dS/dt = 2π(9) • dd/dt

8 = 18π•dd/dt

dd/dt = 8/18π

dd/dt = 4/9(3.14)

dd/dt = 4/28.26

dd/dt = 0.1415cm/min

Hence the diameter is decreasing at the rate of 0.1415cm/min

Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)

Given, rectangular box with largest volume.

Let f(x , y , z) = xyz

Ф ≡ xy + yz + xz - 2  = 0

[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]

[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]

[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]

xy + yz + xz - 2 = 0........4

Solving the above 4 equations,

[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]

Evaluating the lambda values,

x = y

Similarly, y = z

Therefore, x² + x² + x² - 2 = 0

x = √2/3

y = √2/3

z = √2/3

Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)

Know more about rectangle,

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The required height of the parallelogram is 2/3. Option B is correct.

Given that,
The area of a parallelogram is 24 square units. One side of the parallelogramis 36 units long. The other side is 4 units long. Which could be the parallelogram's height is to be determined.

A parallelogram is a quadrilateral consisting of pairs of parallel side.

Here,
We have given the area of the parallelogram and the measure of its base. So,
Area of the parallelogram = base * height
                                       24 = 36 * height
                                       height = 2 / 3

Thus, the required height of the parallelogram is 2/3. Option B is correct.
 

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Answer:

567 miles

Step-by-step explanation:

9 hours x 63 miles per hour = 567 miles total

3x+5y=1 in slope-intercept form is y=−35x+15 .