Sarah is training for a bike race. She rides her bike 5 3/4 miles in 1/3 hour. What is Sarah’s rate in miles per hour. Express your answer as a mixed number

Answer:

890.908

Step-by-step explanation:

Given that :

Median weekly salary for males :

M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6

x = number of years after 1980

Median weekly salary for all employees :

T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3

Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006

Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)

F(x) = T(x) - M(x)

F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)

F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)

F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7

x = 2006 - 1980 = 26

F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7

0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908

=

Answer:

5 years

Step-by-step explanation:

Alr. The equation is:

x= how long the rose bush took to grow

8 1/4=2+1 1/4x

6 1/4=1 1/4x

5=x

Answer:

26

Step-by-step explanation:

9 x 2= 18

18+34= 52

52/2= 26

Answer:

A bottle of juice that says it holds 2 cups actually only holds 1 cup 5 ounces. The bottle of juice holds  

3 ounces less than it should. This represents a  18.75  percent error.

Step-by-step explanation:

Answer:

-1,000

Step-by-step explanation:

Answer:

The answer is -1,000 > -999

Step-by-step explanation:

That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller

Answer:

a. E(X) = 0.333 minutes

b. [tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.  0.9986

Step-by-step explanation:

a.

To find the mean time between counts

Let X be the random variable that illustrates the time between the successive log-ons, then X is exponential with the rate [tex]\lambda = 3[/tex] log-ons per minute.

i.e.

[tex]E(X) = \dfrac{1}{\lambda}[/tex]

[tex]E(X) = \dfrac{1}{3}[/tex]

E(X) = 0.333 minutes

b. Since X is attributed to an exponential distribution, The standard deviation between counts is:

[tex]\sigma_x = \dfrac{1}{3}[/tex]

[tex]\mathbf{\sigma_x =0.333 \ minutes}[/tex]

c.

Given that;

The average number of count per minute = 3

The value of X such that P(X < x) = 0.95 can be calculated as;

[tex]\int \limits ^x_0 \lambda e^{-\lambda t}= 0.95[/tex]

[tex]3\int \limits ^x_0 \lambda e^{3 t}= 0.95[/tex]

[tex]\bigg [ -e^{3t}\bigg ]^x_0 = 0.95[/tex]

[tex]e^{3t} = 1-0.95[/tex]

-3x = ㏑ (0.05)

-3x = - 2.9957

x = -2.9957/ -3

x = 0.9986

The value of x = 0.9986

Answer:

a) 3

b)3

c) 8.9872

Step-by-step explanation:

a) According to the question, mean is 3.

b) Since it is an exponential distribution, standard deviation equals to mean. Therefore, the answer is 3.

c) P[x<X]=0.95

f(x)= λ*e^(-λ*x)

∫f(x)dx, 0 to x

mean = 1/λ =3. So, λ= 1/3.

∫(1/3)*e^(-x/3)dx= 1/3*e^(-x/3)/(-1/3)=-e^(-x/3) 0 to x

-e^(-x/3)+1 = 0.95

-e^(-x/3)=-0.05

x/3=ln(0.05)

x=ln(0.05)*3= 8.9872

Step-by-step explanation:

let age of Byron be b yr old and Cindy be c yr old.

c = b + 2 --(1)

b - 8 + c - 8 = 14

b + c = 30 --(2)

sub (1) into (2):

2b = 28

b = 14

therefore Byron is 14 yr old now.

Topic: simultaneous eqns

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

10

Step-by-step explanation:

Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.

Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10

P.S: This just based on my understanding of the problem.

Answer:

Your straight-time pay is $195.

Step-by-step explanation:

a) Data and Calculations:

Employee  Regular  Hourly Rate  х  Hours  Worked   = Straight-Time  Pay

Wright, S.             $8.00         36

Reardon, E.            7.50         18

Levitt, R.               16.20         30

Maguire, M.         10.25       243

Reyes, A.             14.525        31.125

Vadola, G.          26.675         25.625

b) If you earn $6.50 per hour and work 30 hours this week, your straight-time pay is $195 ($6.50 * 30).  The straight-time pay is determined by multiplying  the number of hours worked in a period by the hourly rate.

Answer:

b

Step-by-step explanation:

absoulute value is never negative.

Answer:

10

Step-by-step explanation:

40/4= 10

Answer:

your answer is 463

Step-by-step explanation:

Hope this help you

have a great thanksgiving

Answer:

Percent decrease is 21.7%

Step-by-step explanation:

The percent decrease is calculated as:

[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]

Given in the question that:

Cost on travel during November = $83

Cost on travel during December = $65

The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.

[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]

Now, for percentage decrease

[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]

Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%

Hence,

Percent decrease is 21.7%

Answer:

a = 2, b = 4, c = 8

Step-by-step explanation:

Let:

First (smallest) number = a

Second number = b

Third number(Largest) = c

The sum of three numbers is 14.

a + b + c = 14...... Equation 1

The largest number is 4 times the smallest number.

c = 4a.... Equation 2

The sum of the smallest and twice the largest is 18.

a + 2c = 18........ Equation 3

We substitute Equation 2 in Equation 3

to solve for a

a + 2(4a) = 18

a + 8a = 18

9a = 18

a = 18/9

a = 2

Hence, the smallest number = 2

We find c

c = 4a.... Equation 2

c = 4(2)

c = 8

The largest number is 8

We find b

a + b + c = 14...... Equation 1

2 + b + 8 = 14

b + 10 = 14

b = 14 - 10

b = 4

What are all three numbers?

a = 2, b = 4, c = 8

Answer:

n + 8 = 62.73

the first one

Step-by-step explanation:

-3a-4(a-6)=24-7a

-3a-4a+24=24-7a

-7a+24=24-7a

-7a+24=-7a+24

-7a+24-24=-7a+24-24

Simplify

Subtract the numbers

Subtract the numbers

−7a=-7a

Add 7a to both sides of the equation

-7a+7a =-7a+7a

Simplify

Combine like terms

Combine like terms

0=0

answer is 0=0

Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

The missing number in the given table is 180 minutes.

To find the value of x in the equation 2/120 = 3/x, we can use cross multiplication.

First, we multiply both sides of the equation by 120

(2/120) * 120 = (3/x) * 120

To simplify, we have:

2 = 3 * (120/x)

2/3 = (120/x)

To solve for x, we can multiply both sides of the equation by x:

(x) * (2/3) = (120/x) * (x)

2x/3 = 120

To isolate x, we can multiply both sides of the equation by 3/2:

(2x/3) * (3/2) = 120 * (3/2)

x = 180

Therefore, the value of x in the equation 2/120 = 3/x is x = 180.

Learn more about equations here;

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Answer:

a) 0.00070

b) 0.00050

c) 0.00022

d) 0.00016

e) 0.00005

Step-by-step explanation:

Standard error for proportion formula

S.E = √P(1 - P)/n

Where P = proportion

n = number of samples

Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000

S.E = √P(1 - P)/n

= √0.46 × 0.54/500000

= √ 4.968 ×10^-7

= 0.0007048404

≈ 0.00070

b) 1,000,000

√P(1 - P)/n

= √0.46 × 0.54/1000000

= 0.0004983974

≈ 0.00050

c) 5,000,000

√P(1 - P)/n

= √0.46 × 0.54/5000000

= √ 4.968 ×10^-8

= 0.0002228901

≈ 0.00022

d) 10,000,000

√P(1 - P)/n

= √0.46 × 0.54/10000000

= √2.484 ×10^-8

= 0.0001576071

≈ 0.00016

e) 100,000,000

√P(1 - P)/n

= √0.46 × 0.54/100000000

= √2.484 × 10^-9

= 0.0000498397

= 0.00005

Answer:

Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!

Step-by-step explanation:

32% is the probability that 3 are blue and 2 are red.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

We have a bag that contains 100 balls, 50 of them red and 50 blue.

We, Select 5 balls at random.

the probability that 3 are blue and 2 are red = 50C3*50C2/50C5

solving we get,

19600*1225/75287520

=24010000/75287520

=0.32

=32%

Hence, 32% is the probability that 3 are blue and 2 are red.

To learn more on probability click:

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Answer:

AB have the length of 9

Step-by-step explanation:

5 is to short 14 is too long in between would be 9

Answer:

the answer is 68

Answer:$5804

Step-by-step explanation:

P=6200/e^(0.022)(3)

Answer:

5804 just trust me i got it right

Answer:

(7;1)

Step-by-step explanation:

The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.

However the ordinate of the point B'  will have the opposite sign as ardinate  B. However the module of ordinate B'  is going to be the same as module of orrdinate B.