The ages of Raju and Ravi arw the ratio of their ages will be 4:5 . Find their present ages.

Hey there! I'm happy to help!

We see that Jack has already run 25 miles.

25

He also wants to run 2.5 miles every day. This means we will multiply 2.5 miles by the number of days he runs. We will call the number of days x.

25+2.5x

And he needs this to equal 275.

25+2.5=275

We subtract 25 from both sides.

2.5x=250

We divide both sides by 2.5

x=100

So, Jack will need to run 100 days to meet his goal.

Have a wonderful day and keep on learning! :D

Complete question is;

A trucking company determined that the distance traveled per truck per year in its entire fleet was normally distributed with a mean of 55 thousand miles and a standard deviation of 11 thousand miles.

a)A truck in the fleet traveled 42 thousand miles in the last vear. Calculate the z-score for this truck.

b) Interpret the z-score

c) The trucking company has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected. What is the probability that a randomly selected truck from the fleet will have to be inspected?

d) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Should this truck be removed from the road and inspected? Explain why or why not.

Answer:

A) z = - 1.18

B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average

C) P(z > 2.5) = 0.0062

D) it's value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected

Step-by-step explanation:

A) We are given;

Population mean; μ = 55000

Sample mean; x¯ = 42000

Standard deviation; σ = 11000

Z-score formula is;

z = (x¯ - μ)/σ

z = (42000 - 55000)/11000

z = - 1.18

B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average.

C) since it has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected, then it means that probability that it will be inspected is;

P(z > 2.5) = 1 - P(z < 2.5)

From p-values from z-score table, we have;

P(z > 2.5) = 1 - 0.9938

P(z > 2.5) = 0.0062

D) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Thus; x¯ = 85000.

Thus;

z = (85000 - 55000)/11000

z = 2.73

This value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected

Answer:

b. 25

Step-by-step explanation:

To have an infinite number of solutions, both equations must be equal.

-2x + 5y = 23

-10x + ky = 115

Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.

-10x + 25y = 115

-10x + ky = 115

For the equations to be equal, you must have

25y = ky

Divide both sides by y.

k = 25

Answer: b. 25

Answer:

Does the answer help you?

Step-by-step explanation:

16d-4+5d= -67

21d-4= -67

21d= -67+4

d= -63/21

d = -3

hope it helps

Answer: d = -3

Step-by-step explanation:

⇒16d -(4-5d) = -67

⇒16d -4 +5d = -67

⇒21d = -67+4

⇒21d = -63

⇒d = -63/21

⇒d = -3

Therefore d = -3

please click thanks and mark brainliest if you like :)

Answer:

1. 18

2. 2412

Step-by-step explanation:

1. Monday 3

Tuesday 6

Wensday 9

Thursday 12

Friday 15

Sunday 18

_____________________________________________________

2.

603*4=2412

Answer:

rectangular prism

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3^6\times 3[/tex]

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

[tex]\\ \sf\longmapsto 3^6\times 3^1[/tex]

[tex]\\ \sf\longmapsto 3^{6+1}[/tex]

[tex]\\ \sf\longmapsto 3^7[/tex]

Answer:

π is equal to 3.14

A=πr^2 is the equation to get the area of a circle where r is the radius.

Answer:

π=A/12r2

Step-by-step explanation:

A=12πr2

divide both sides by 12r2

A/12r2=12r2/12r2

π=A/12r2

Answer:

Hello,

Answer m=-1, n=-6,l=2

Step-by-step explanation:

[tex]A*U=B\\\begin{bmatrix}3&-1&0\\0&1&3\\0&0&2\end{bmatrix}*\begin{bmatrix}m\\n\\l\end{bmatrix}=\begin{bmatrix}3\\0\\4 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2} \\\\0&0&\frac{1}{2}\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\[/tex]

[tex]U=\begin{bmatrix}\dfrac{1}{3}&\dfrac{1}{3}&\dfrac{-1}{2}\\\\0&1&\dfrac{-3}{2}\\\\0&0&\dfrac{1}{2}\end{bmatrix}*\begin{bmatrix}3\\0\\4\\\end{bmatrix}=\begin{bmatrix}-1\\-6\\2\end{bmatrix}\\\\[/tex]

Answer:

2.71

Step-by-step explanation:

Given 8 - 2/3 = 8(3/3) - 2/3 = 24/3 - 2/3 = 22/3 = 7.333 then the radical is

7.333**(1/2) = 2.71

Answer:

a

Step-by-step explanation:

the graphic is step by step

Answer:

A

Step-by-step explanation:

Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.

Hope this helps! Please mark Brainliest :)

Answer:

540m^3

Step-by-step explanation:

There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.

Answer:

the answer is 540

Step-by-step explanation:

because 3x5x36=540

Answer:not a man but I think you should just relax and be yourself, high school isn’t scary at all. When you go in for orientation walk around the school and find your classes so you have a good map of where you need to go in your head already! Best of luck

Step-by-step explanation:

Answer:

sin -115° = -0.91

Step-by-step explanation:

Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).

As for point B which was revolved around -115°,

the coordinates will be similar to point A but you just have to change the negative.

B(cos -115°, sin -115°) = B(0.42, -0.91)

Answer:

PLATO ANSWER

-0.91; -0.42

Step-by-step explanation:

The sine function is an odd function, meaning that sin -x = -sin x. Because sin 115° ≈ 0.91, sin  -115° ≈ -0.91.

The cosine function is an even function, meaning that cos -x = cos x. Because cos 115° = -0.42, cos -115° = -0.42.

Answer:

3

Step-by-step explanation:

The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:

AB * x = DE

where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:

5x = 15

x = 3

Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.

Answer:

13x13x5

Step-by-step explanation:

We can write 845 as

845 = 13 x 13 x 5

because

845 = (13x13) x5 = 169 x5 = 845

so the expression is

13 x 13 x 5

Answer:

hello,

Step-by-step explanation:

a)

In an isocele triangle, base's angles have the measure:

42+2a=180

2a=180-42

a=69(°)

b)

in a triangle, an external angle has for measure the sum of the angles not adjacents.

55+b=132

b=77 (°)

c)

in a quadrilater the sum of the (interior) angles is 2*180=360 degrees.

90+90+68+c=360

c=360-90-90-68

c=112 (°)

Answer:

$40.00, $30.00, B

Step-by-step explanation:

We can first write an expression for the cost of each plan.

Given x amount of texts and y amount of minutes, plan A costs 15 cents per text sent (so given x amount of texts, plan A costs 15 * x for texts) and 10 cents per minute (so given y amount of minutes, plan A costs 10 * y for minutes). Adding these up, plan A costs 15 * x + 10 * y. Plugging Jaden's 200 texts in for x and 100 minutes in for y, we have

15 * x + 10 * y = 15 * 200 + 10 * 100 = 4000 cents. 100 cents = 1 dollar, and the conversion rate for cents to dollars is divide by 100, so we divide 4000 cents by 100 to get $40.00 as the cost for plan A

For plan B, the flat rate is 15 dollars. To convert from dollars to cents, we multiply by 100, so 15 * 100 = 1500 cents for the flat fee.

Texts cost 5 cents per text, so 5 * x is the cost for texts in cents for plan B. Similarly, 5 * y is the cost for minutes in cents for plan B. Adding these up, we get

1500 + 5 * x + 5 * y

combine like terms

1500 + 5 * (x+y)

plug 200 in for x and 100 in for y

1500 + 5 * (200+100)

1500 + 5 * (300)

1500 + 1500

3000

divide by 100 to convert to dollars

$30.00 is the cost for plan B

$30 < $40, so plan B will be cheaper for Jaden

Answer:

D and C

Step-by-step explanation:

1) You can cross check using desmos.

2) cos(120) is - 0.5

Answer:

The correct options are:

1. Significantly different from

1. Inconsistent

Explanation:

Sales Data for Midwest:

Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.

Answer:

In the picture

Step-by-step explanation:

From Plato / Edm

Answer:

Hello,

Step-by-step explanation:

Best fit: quadratic y=5.3x²-9.3+6.1

with an total error  of 0.4

Answer:

16

Step-by-step explanation:

2 (l+b)​

Let l=5 and b=3

2 (5+3)​

Parentheses first

2(8)

Multiply

16

Answer:

16

Step-by-step explanation:

Plug in:

2 (l + b)

2 (5 + 3)

2 (8)

 16

Hope this helped.

Answer:

The Average annual return is:

= 10%.

Step-by-step explanation:

a) Data and Calculations:

Year        Stock Returns

Year 1                 -4%

Year 2             +28%

Year 3              +12%

Year 4              + 4%

Total returns = 40%

Average annual returns = 10% (40%/4)

b) The average annual return is computed as the total returns for the four years divided by 4.  It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period.  It is the mean of the total returns.

Answer:

565656÷8=p

So the answer is 637:D

Answer:

A

Step-by-step explanation:

Let us start with B = 90

That would mean that each of the other 2 angles must add to 90 which makes each of them 45.

But the question doesn't allow that. B has to be greater than 90 which means that the other two angles must be less that 45 each.

the only answer that does that is A