A cyclist cycles a distance of 45 miles in a time of 3 hours.
What is her average speed?

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + b

-3 = -3/2(4) + b

-3 = -6 + b

3 = b

Answer:

-12

Step-by-step explanation:

Answer:

[tex]Pr =0.75[/tex]

Step-by-step explanation:

Given

See attachment for wedge

Required

[tex]P(x > 5)[/tex]

The sample space of the wedge is:

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}[/tex]

[tex]n(S) = 20[/tex]

The outcomes greater than 5 are:

[tex]x > 5 = \{6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}[/tex]

[tex]n(x>5) =15[/tex]

So, the probability is:

[tex]Pr =\frac{(n(x>5)}{n(S)}[/tex]

This gives:

[tex]Pr =\frac{15}{20}[/tex]

[tex]Pr =0.75[/tex]

Answer:

180 i think

hope it helped

Answer:

area = 118.04 units²

Step-by-step explanation:

area of circle = πr² = (3.14159)(8²) = 201.06 units²

area of triangle:

corner angle - 60°/2 = 30°

sin 30° = m/8, m = 4

height of triangle = 4 + 8 = 12

cos 30° = n/8, n = 6.93, n = 1/2 base

base of triangle = 13.86

area of triangle = 1/2bh = 1/2(13.86)(12) = 83.02 units²

area of shaded portion = 201.06 - 83.02 = 118.04 units²

Answer:

You can have a D in your class to pass but if you have a F then you dont pass the class

Step-by-step explanation:

Answer:

82.73  v      

9:10 s

Step-by-step explanation:

Answer:

[tex]x {2} + (y - 3) {2} = 9[/tex]

Step-by-step explanation:

By using the formula:-

[tex](x - h) {2} + (y - k) {2} = r {2}[/tex]

where, (h,k) is the center and r is the radius

Answer:

y=1/4x+2

Step-by-step explanation:

The formula is y=mx+b, where m is the slope and b is the y-intercept

Answer:

[tex]\pi\cdot25\cdot\frac{12}{3} = 314.1592654[/tex]

Answer:

9)  1/48

11)  1/24

13)  5/16

14)  1/8

Step-by-step explanation:

9) P(A and 5) = 1/8 × 1/6

11) P(J and LT 3) = 1/8 x 2/6

13) P (consonant and odd) = 5/8 x 1/2

14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2]  = 2/8 x 1/2

Answer:

176.4

Step-by-step explanation:

1.) 7/5 = surface area/90 = (7/5)^2 = 49/25

2.) sa/90 = 49/25

3.) 4,410/25a

Surface area is 176.4

Hope this helps!

Answer:

The answer is "0.425".

Step-by-step explanation:

The  T be a requirement today that such rains.

The Y be a situation yesterday that now it rained.

The O is a condition for tomorrow to rain.

[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]

There Arena and morrow overview To Aspects Which will rain:

[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]

Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.

Its possibility of tomorrow's rain is:

[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]

       [tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]

      [tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]

Answer:

(a) 0.0072

(b) 7.15 x 10^7

Step-by-step explanation:

Numbers less than 1 have a negative exponent

- those greater than 1 have a positive exponent.

The first part of standard form  has values between 0 and 10.