Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?

It says 120 is wrong :(

A line of best fit guides a line through a scatter plot of data points that best describes the association between those points.

A line of best fit guides a line through a scatter plot of data points that best describes the association between those points. Statisticians typically utilize the least squares approach to arrive at the geometric equation for the line, either through manual computations or regression analysis software.

A line of best fit can be approximately specified utilizing an eyeball the method by marking a straight line on a scatter plot so that the numeral of points above the line and below the line stands about equal (and the line passes via as many points as possible).

To learn more about line of best fit refer to;

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Answer:

43 tons is the answer :)

Step-by-step explanation:

:))))))))))

Answer:

4.6, or 4.60

Don't forget the dollar signs.

Step-by-step explanation:

8 percent of 15 = 1.2.

15-1.2=13.8

8 percent of 20 = 1.6

20-1.6=18.4

18.4-13.8=4.6

Answer:

4.6

Step-by-step explanation:

Answer:  82

Step-by-step explanation:

As we know remainder formula:-

 Dividend = Quotient × Divisor + Remainder

Here, dividend = Two digits number & divisor = Sum of digits

m + 10n = 8 × (m + n) + 2

 m + 10n = 8m + 8n + 2

 m - 8m + 10n - 8n = 2

 2n - 7m = 2

  2n = 7m + 2

 n = (7m + 2)/2 - -  (Eq.1)

Digits interchanged, two digits number is divided by sum of digits, quotient is 2 & remainder is 8.

Now, when digits interchanged:-

 Two digits number = 10m + n

Using same formula we get:-

 10m + n = 2 × (m + n) + 8

10m + n = 2m + 2n + 8

 10m - 2m + n - 2n = 8

 8m - n = 8

 8m = n + 8

 n = 8m - 8 - - - (Eq.2)

Comparing both equations:-

 (7m + 2)/2 = 8m - 8

 7m + 2 = 2(8m - 8)

 7m + 2 = 16m - 16

 7m - 16m = -16 - 2

 -9m = -18

 m = -18/-9

 m = 2

So, digit at unit's place = 2

Put this value in (Eq.2)

n = 8(2) - 8

n = 16 - 8

n = 8

So, digit at ten's place = 8

Now two digit number:-

 Two digit number = 2 + 10(8)

 Two digit number = 2 + 80

Two digit number = 82

Answer: 17.5 feet long.

Answer:

8% down payment

Step-by-step explanation:

find lcf which is 3 and then it is 4/50 which is 8/100

(Divide the two numbers by 3 once you find it and then go from there to find 4/50)

Answer:

I dont know expalin more

Answer:

x= 4/16 stan

x=0.26 dec

Step-by-step explanation:

⬇ Hello! The answer would be down below! :) ⬇

x = 0 will be the answer.

Step-by-step explanation:

So, we start with [tex]\frac{3}{4} x = \frac{1}{5} x[/tex] .

For step 1 we should subtract [tex]\frac{1}{5} x[/tex]  on both sides.

[tex]\frac{3}{4} x - \frac{1}{5} x = \frac{1}{5} x - \frac{1}{5} x[/tex]

= [tex]\frac{11}{20} x = 0[/tex]

For step 2 we will multiply both sides by [tex]\frac{20}{11}[/tex].

[tex](\frac{20}{11})[/tex] x [tex](\frac{11}{20} x ) = (\frac{20}{11})[/tex] x [tex]\ (0)[/tex]

= x = 0

here's your answer

hope it helps you

Answer:

A

Step-by-step explanation:

Answer:

= (0, 7/2)

Step-by-step explanation:

Answer:

E(X) = 1.9375

SD(X) = 1.20

Step-by-step explanation:

Let :

G = girl ; B = Boy

P(G) = 0.5 ; P(B) = 0.5

Sample space :

G, BG, BBG, BBBG, BBBBG, BBBBB

Using the multiplication rule of independence :

P(G) = 0.5

P(BG) = 0.5 * 0.5 = 0.25

P(BBG) = 0.5 * 0.5 * 0.5 = 0.125

P(BBBG) = 0.5 * 0.5 * 0.5 * 0.5 = 0.0625

P(BBBBG) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125

P(BBBBB) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125

Creating a probability distribution table :

X = 1, 2, 3, 4, 5

For X = 5 ;

P(BBBBG) + P(BBBBB) = 0.03125 + 0.03125 = 0.0625

X :___ 1 ____ 2 ____ 3 _____ 4 _____ 5

P(X) : 0.5 __ 0.25 _ 0.125 _0.0625 _0.0625

The expected value E(X) :

√(ΣX * P(X)) = (1*0.5)+(2*0.25)+(3*0.125)+(4*0.0625)+(5*0.0625) = 1.9375

The standard deviation SD(x) :

√(ΣX²*p(x) - E(X)²

√((1^2*0.5)+(2^2*0.25)+(3^2*0.125)+(4^2*0.0625)+(5^2*0.0625) - 1.9375^2)

√(5.1875 - 3.75390625)

√1.43359375

SD(X) = 1.197

SD(X) = 1.20

Answer:

75

Step-by-step explanation:

Answer

the lengths of the chords are 12 cm and 6 cm

Answer:

The lengths of the chords are 12 cm and 6 cm

Step-by-step explanation:

See attached image

Hope this helps! :D

Answer:

man you got this

Step-by-step explanation:

If f(x) = x + 9 and g(x) = 9x – 4, - 22024651. ... Click on the correct answer. 3 is not in the domain of fºg. 3 is in the domain of fºg. 1. See answer. Add answer+5 pts ... Answer: 3 is in the domain of f(g(x)). Step-by-step explanation: ... What is the domain of the given function? a) {x | x = –6, –1, 0, 3}; {y | y = –7, –2, ...

The domain is all real numbers except 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.

Answer:

5 is not in the domain of fog

Step-by-step explanation: [tex]g(f(x) = g(\sqrt{x+3} ) = -7(\sqrt{x+3}) +7[/tex] find the domain of [tex]-7(\sqrt{x+3}) +7[/tex] which is [tex]{x|x\geq -3[/tex] therefore any number greater than or equal do -3 are not in the domain. So 5 is not in the domain of fog

Answer: I don’t know how to solve x but look at the picture

Step-by-step explanation: Hope this help :D

Answer:

569.95 dallars

Step-by-step explanation:

Answer: [tex]512\pi[/tex]

Step-by-step explanation:

Given

Equation of curve is [tex]x=\sqrt{8+y}[/tex]

When this curve is rotated about the y-axis, then volume generated is given by

[tex]V=\int_{a}^{b}\pi x^2dy[/tex]

When [tex]x=0[/tex], [tex]y=-8[/tex]

Put the limits and solve the integral

[tex]\Rightarrow V=\int_{-8}^{24}\pi (8+y)dy\\\\\Rightarrow V=\pi\left ( 8y+\dfrac{y^2}{2}\right )_{-8}^{24}\\\\\Rightarrow V=\pi \left ( 8\times 32+\dfrac{24^2-8^2}{2}\right )\\\\\Rightarrow V=512\pi[/tex]

Answer:

33/x - x^2 where x = a + b

33/(a + b) - (a + b)^2

d/da(33/(a + b) - (a + b)^2) = -2 (a + b) - 33/(a + b)^2

Step-by-step explanation:

;-;

Answer:

33 ft

Step-by-step explanation:

hey, hope this helps and right.

Answer:

34

Step-by-step explanation:

i think I had this question

Answer:

3x

I had trouble imagining it, so I plugged in 3 as x. My answer when I solved for radius was 9, or in other words, 3x because x was 3.

Answer:

I really wasn't sure on this one, and I got it wrong on the quiz but the answer is the yellow option which is Scores above 77

explanation: