The probability that Lara will win the boys’ 100 m race is 4/7 and the probability that Dhiya will win the girls’ 100 m race is 3/7 . What is the probability that (i) Both of them will win their events

Answer:

The average change in elevation per minute is 3.8 ft per minute

Step-by-step explanation:

Here. we want to calculate the average change in elevation per minute

To calculate this, we simply need to divide the total descent over the total number of minutes

Mathematically, that would be;

46.36 feet / 12.2 minutes = 3.8 feet per minute

Answer:

x^-5 = x to the power of negative 5

Step-by-step explanation:

Which of these is equivalent to 1 over x to the power of 5 ?

Mathematically this is expressed as

(1/x)⁵

We have a rule when it comes to expressing power

(1/a)^b = a^-b

Hence, applying this rule to our question

(1/x)⁵ = (1/x)^5

= x^-5

This is written in words as:

x to the power of negative 5

Answer:

832 fluid oz

Step-by-step explanation:

Multiply 128 by 6.5

Answer:

832

Step-by-step explanation:

Multiply 128 by 6.5 gallons

Answer: C

Step-by-step explanation:

C beacause one X cannot have two different Y values

Answer:

bvs rverve wber

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

C=36

Step-by-step explanation:

C-17=19

C=19+17

C=36

Answer: 315 km

Step-by-step explanation:

If the angle θ is measured from the x-axis, and we have a magnitude A, we can find the rectangular coordinates as:

Ax = A*cos(θ)

Ay = A*sin(θ)

Then:

The first helicopter has a speed of 160km/h, and it's angle is 290°.

Then the components will be:

Vx = 160km/h*cos(290°) = 54.7 km/h

Vy = 160km/h*sin(290°) = -150.4 km/h

Then the point location as a function of time, can be written as:

(where i assumed that the initial position of both helicopters was (0, 0))

P1(t) = (54.7 km/h*t, -150.4 km/h*t)

where t is time in hours.

We can do the same for the other helicopter:

The speed is 100km/h, and the angle is 250°

Then:

Vx = 100km/h*cos(250°) = -34.2 km/h

Vy = 100km/h*sin(250°) = -94 km/h

Then the point location as a function of time, will be:

P2(t) = (-34.2km/h*t, -94 km/h*t)

After 3 hours, the position of each helicopter will be:

P1(3h) = (54.7 km/h*3h, -150.4 km/h*3h) = (163.1 km, -451.2 km)

P2(3h) = (-34.2km/h*3h, -94 km/h*3h) = (-102.6km, -282km)

Now we can calculate the distance between these two points.

Remember that the distance between the points (a, b) and (c, d) is:

D = √( ( a - c)^2 + (b - d)^2)

In this case the distance will be:

D = √(  (163.1 km - (-102.6km))^2 + (-451.2 km - (-282km))^2)

D = √(  (163.1 km + 102.6km)^2 + (-451.2 km + 282km)^2)

D = 315km

Answer:

Same-side interior angles

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3388 kg

Step-by-step explanation:

If you mean to increase by 21%, then

You may

100% + 21% = 121%

2800 x 121/100

2800 x 1.21

= 3388 kg

Answer:

3.8 pages per minute

Step-by-step explanation:

what what you do is divide 114 by 30.

Answer:

3.8 pages per minute.

Step-by-step explanation:

Divide 114 pages by 30 minutes to get 3.8.

Answer: it’s 9

Step-by-step explanation:

54 divined by 6 = 9

Answer:

d

Step-by-step explanation:

the first oval's domain and the second's range. so you just choose the choice that includes all the values in the ranger.

Answer:

Answer = C

Angle x = 21

Property = Angle sum of Triangle

Answer:

x= 3/4

Step-by-step explanation:

I looked it up. Hope this helps

Answer:

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

Step-by-step explanation:

Given

2(6 - 2x) - 2x = 2(5 + x) - 4 ← distribute parenthesis on both sides

12 - 4x - 2x = 10 + 2x - 4 ← simplify both sides

12 - 6x = 6 + 2x ( subtract 2x from both sides )

12 - 8x = 6 ( subtract 12 from both sides )

- 8x = - 6 ( divide both sides by - 8 )

x = [tex]\frac{-6}{-8}[/tex] = [tex]\frac{3}{4}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

(a)    a = 158.

The median = the middle value = c = 195.

The lower quartile = the middle value of the first 5 heights = 185 = b.

The upper quartile = the middle value of the last  5 heights = 200 = d.

(b)  d - b = 200 - 185 = 15 = the interquartile range (IQR).

(c)  e - a  is the range = 213 - 158 =  55.

Answer: 22,040/30= 734.666666667

Step-by-step explanation:

As per linear equation, the average daily balance on the given credit calendar is $716.17.

A linear equation is an equation where the highest degree of the variable is one.

Given, the daily balances for the given 30 days are $640, $640, $640, $640, $640, $640, $640, $640, $765, $765, $765, $765, $765, $820, $820, $820, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720.

Therefore, the total balance in the given 30 days period is = [$640 × 8 +  $765 × 5 + $820 × 3 +  $720 × 14] = $21485.

Now, the average daily balance = $[tex]\frac{21485}{30}[/tex] = $716.17

Learn more about a liner equation here: https://brainly.com/question/14089804

#SPJ2

Answer:

1

Step-by-step explanation:

0=-x+1

-x=-1

x=1

Answer:

y=-2/3x+6

Step-by-step explanation:

hope this helps

Answer:

22

Step-by-step explanation:

3!(3)^2-5

3÷9-5

37-5=22

Answer:

y= 5 x+ 1

Step-by-step explanation:

Answer:

i think its 21x + 11 = y

Step-by-step explanation:

sorry if this is wrong, if it is someone correct me.

Answer:

From 3:23-3:24

Step-by-step explanation:

Answer:

3/10 is greater

Step-by-step explanation:

2/7 is equal to 0.29... and 3/10 is equal to 0.3

So, 0.3 is bigger than 0.29

There are more boxes shaded in the picture to the right than the picture to the left. 21 > 20

Answer:

2.8 or 2 4/5

Step-by-step explanation:

Here's our proportion of cups of milk to servings

3 1/2:10      For my sake I'm using decimals

3.5:10

Now let's try to get our servings to 1 (a unit rate)

0.35:1         I divided by 10 on each side

We need 8 servings not 1 so let's multiply 8 on each side

2.8:8

In case you want it in fraction form we can do 2 8/10 and simplify it to 4/5 by dividing by 2. Our answer is 2.8 or 2 4/5 cups of milk for 8 servings.

Answer:

1) third point

2) no is the answer

Answer: 7 days

Step-by-step explanation:

From the question, we are informed that a road construction company can repair 1/4 mile of road each day. We are further told that Road X is 7 ½ miles long. The number of days that it'll take to repair road X will be:

= 7 1/2 ÷ 1/4

= 15/2 × 4/1

= 30 days

Road Y is 5 ¾ miles long. The number of days that it'll take to repair road Y will be:

= 5 3/4 ÷ 1/4

= 23/4 × 4/1

= 23 days

The difference in the number of days that Road X take to repair than Road Y will be:

= 30 days - 23 days

= 7 days

Answer:

Step-by-step explanation:

Answer:

14 votes

Step-by-step explanation:

To find 70% of 20, first convert the percentage into a decimal. Move the decimal place two places to the left.

Now take the 20 and multiply it by 0.70.

You will end up with 14 as your answer.