Two S-year old girls, Alyse and Jocelyn, have been training to run a mile racc Alyse's I mile A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn's I mile time approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 sile race on a randomly selected day?

Answer:

YOU CHEAT ON QUIZ

Step-by-step explanation:

WHY YOU CHEAT BAD

Answer:

Step-by-step explanation:

x + y = 11

.25x + .05y = 1.15

25x + 5y = 115

-25x - 25y = -275

-20y = -160

y = 8 nickels

x + 8= 11

x = 3 quarters

3 quarters and 8 nickels

Answer:

I think it would have to be -15 because the leaves are 5 each the caterpillar is 3 each and the apples are 10 each so you would subtract 5 and 10 to get -5 then multiply by 3 to get -15.

Step-by-step explanation:

Answer:

-15

First do the subtraction then the multiplication

And I am sure on the answer

Answer:

0.857 weeks

Step-by-step explanation:

Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...

M = 35 + 15x

A = 5 + 50x

Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money

35 + 15x = 5 + 50x  ... subtract 5 and 15x from both sides

30 = 35x  ... divide both sides by 35

[tex]\frac{30}{35}[/tex] or 0.857 = x

Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.

*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***

Answer:

12 blueberries and 4 strawberries

Step-by-step explanation:

We can try the guess method.

3:1      3 + 1 = 4     4 is too low. We need a sum of 16.

Multiply both numbers in the ratio by 2.

6:2     6 + 2 = 8   8 is still too low

Multiply both numbers in the ratio by 4.

12:4    12 + 4 = 16    16 is correct.

Answer: 12 blueberries and 4 strawberries

Answer:

0.33333333

Step-by-step explanation:

4 divided by 12 would be written like this: 4/12

it's always good to simplify if possible, so it should look like this: 1/3

3 which is the denominator would be divided by 10, so 3/10 = 0.33333333

0.33333333 is the answer because the numerator is how many times you multiply it, and 1*0.33333333 = 0.33333333

Answer:

£3.57

Step-by-step explanation:

£2.95 + £3.48 = £6.43

£10.00 - £6.43 = £3.57

Answer:

C

Step-by-step explanation:

(x-9)3 on edge

Answer:

[tex]10x - 5[/tex]

Step-by-step explanation:

Combine like terms

Answer:

40, 284 omelets

Step-by-step explanation:

Given that:

In the first week of June = 10345 omelets were sold

In the second week = 1096 fewer omelets are sold than in week one

i.e.  10345 - 1096 = 9249 omelets

In the third week = 2000 more were sold than week one.

i.e. 2000 + 10345 = 12345 omelets

In the fourth week = 2000 fewer omelets were sold than week one.

i.e. 10345 - 2000 = 8345 omelets

Thus, the total quantity of Omelet sold in the month of June is:

= (10345 + 9249 + 12345 + 8345) omelets

= 40, 284 omelets

Answer:

We conclude that:

[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]

Hence, option (A) is true.

Step-by-step explanation:

Let us solve the expression

Let us solve the L.H.S to check whether it becomes equal to R.H.S

[tex]-\frac{1}{12}\:\times \frac{6}{7}[/tex]

Factor the number: 12=6×2

[tex]-\frac{1}{6\cdot \:2}\cdot \frac{6}{7}[/tex]

Cross - cancel the common factor

[tex]-\frac{1}{2}\cdot \frac{1}{7}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]-\frac{1\cdot \:1}{2\cdot \:7}[/tex]

Multiply the number: 7×2 = 14

[tex]-\frac{1}{14}[/tex]

Therefore, we conclude that:

[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]

Hence, option (A) is true.

Answer:

a

Step-by-step explanation:

Answer:

[tex]39.5,44.5[/tex]

Step-by-step explanation:

[tex]Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ first\ interval\ be\ u_1,v_1.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ second\ interval\ be\ u_2,v_2.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ third\ interval\ be\ u_3,v_3.\\Hence,\\As\ the\ class\ marks\ are\ uniform\ with\ an\ a\ difference\ of\ 5, the\\ observation\ is\ continuous\ and\ the\ class\ size\ is\ 5\ too.\\Hence,\\v_1=u_2, v_2=u_3\\[/tex][tex]Now,\\Lets\ consider\ the\ first\ two\ classes.\\37=\frac{u_1+v_1}{2} \\42=\frac{u_2+v_2}{2}\\By\ adding\ the\ equations:\\79= \frac{u_1+v_1}{2}+\frac{u_2+v_2}{2}\\79=\frac{u_1+v_1+u_2+v_2}{2}\\79=\frac{(u_1+v_2)+(v_1+u_2)}{2}\\79=\frac{(u_1+v_2)}{2}+\frac{(v_1+u_2)}{2}\\Now,\\As\ the\ mid-point\ between\ two\ points\ can\ be\ calculated\ by\\ its\ average:\frac{u+v}{2} \\Hence,\\u_2\ lies\ in\ the\ mid-point\ of\ u_1\ and\ v_2.\\u_2=\frac{(u_1+v_2)}{2}\\[/tex]

[tex]Hence,\\By\ substituting\ u_2=\frac{(u_1+v_2)}{2},\\79=u_2+\frac{v_1+u_2}{2}\\As\ v_1=u_2[Proven],\\79=u_2+ \frac{u_2+u_2}{2}\\79=u_2+\frac{2u_2}{2}\\79=2u_2\\Hence,\\u_2=\frac{79}{2}\\u_2=39.5\\Now,\ as\ we\ already\ know\ that\ the\ class\ size=5,\\v_2-u_2=5\\Hence,\\v_2=5+u_2\\Here,\\v_2=5+39.5\\v_2=44.5\\Hence,\\The\ upper\ limit\ of\ the\ second\ interval=44.5\\The\ lower\ limit\ of\ the\ second\ interval=39.5\\[/tex]

Answer:

Fraction: -9/56

Decimal: -0.16071428 (-0.16)

Step-by-step explanation:

Multiply, then use a fraction-to-decimal calculator.

Brainliest Please!

Answer: The height of the flagpole is 12 feet.

Step-by-step explanation:

Let the height of the flagpole be 'H'.

So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.

Given:

Height of stick is,

Shadow of the stick is,

Shadow of the flagpole is,

Now, as these are in proportion, we have

Plug in the given values and solve for 'H'. This gives,

Hence, the height of the flagpole is 12 feet.

Answer:

x < 6

Step-by-step explanation:

Distribute the 2 to the parentheses:

2(x − 3) < 6

2x - 6 < 6

Solve for x:

2x < 12

x < 6

So, x < 6 is the answer.

Answer:

= 4.4591 × 1010

(scientific notation)

= 4.4591^10

= 44.591 × 109

Its actually pretty hard, so I don't really want to show my explanations with words, but there is a number explanation. Sorry if this is wrong. It is pretty hard, since you asked lots of times, I tried to give it a go.

6 X 10^-5 is 2*10^3 times the value of 3 X 10^-8.

6 X 10^-5 is how many times the value of 3 X 10^-8 is to be determined.

Fraction is defined as the number of compositions that constitute the whole.

Let 6 X 10^-5 is x  times the value of 3 X 10^-8.

[tex]6 * 10^{-5}= x 3 * 10^{-8}\\\\x = \frac{6 * 10^{-5}}{3 * 10^{-8}} \\\\x = 2 *10^3[/tex]

Thus, 6 X 10^-5 is 2*10^3  times the value of 3 X 10^-8.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ2

option is c=2/3

2/3+ 1/7 = 17/21

Answer:

i cant see te pic that good

Step-by-step explanation:

Step-by-step explanation:

Using trignometry, we have cosθ = Adjacent / Hypotenuse = 3/5.

Hence θ = cos-1(3/5) = 53.1° (A).

Answer:

[tex]y=2-2\cos(x)[/tex]

Step-by-step explanation:

We have the differential:

[tex]y^\prime=2\sin(x)[/tex]

With the general solution:

[tex]y=C-2\cos(x)[/tex]

And we want to find the particular solution such that it satisfies the initial condition:

[tex]\displaystyle y\Big(\frac{\pi}{3}\Big)=1[/tex]

So, we have:

[tex]y=C-2\cos(x)[/tex]

Substituting π/3 for x and 1 for y yields:

[tex]\displaystyle 1=C-2\cos\Big( \frac{\pi}{3} \Big)[/tex]

Solve for C. Evaluate:

[tex]\displaystyle 1=C-2(\frac{1}{2})[/tex]

Simplify:

[tex]1=C-1[/tex]

Hence:

[tex]C=2[/tex]

Therefore, our particular solution will be:

[tex]y=2-2\cos(x)[/tex]

Hence, our answer is C

Step-by-step explanation:

-2j < -14

Divide both sides by -2:

j > 7. (D)

Answer:-2j < -14

Divide both sides by -2:

j > 7. (D)

Step-by-step explanation:

Answer:

equation 'b':  y = -3/4x + 5

equation 't':  y = 4/3x - 2

Step-by-step explanation:

parallel lines must have the same slope

the slope of perpendicular lines must be opposite and reciprocal

Answer:

Step-by-step explanation:

Given line h:

Dilated line is parallel to original, so will have same slope of -2

y-intercept will change by a scale factor of 4:

So the equation of the new line is:

Answer:

y = 2x - 12 or A

Step-by-step explanation:

6x - 3y = 36                        Subtract 6x from both sides.

-3y = 36 - 6x                       Divide by - 3

-3y/-3 = 36/-3 - 6x/-3

y = -12 + 2x

The answer is A