Joel races bikes. In his city, there are 4 4 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A 1 4 4 1 ​ B 3 2 2 3 ​ C 1 3 4 1 4 3 ​ D 4 4 4 4 ​ Joel races 3 3 laps in the same lane. The total distance he races is less than 3 3 miles. Which track does Joel race on?

The percentage of 38 that is 23 is = 60.5%

To calculate the percentage of a given quantity, the quantity is taken to be =100%

That is ; 38 = 100%

Therefore, 23 = X

make X the subject of formula,

[tex]x = \frac{23 \times 100}{38} [/tex]

[tex]x = \frac{2300}{35} [/tex]

X = 60.5%

Therefore, 60.5% of 38 is 23.

Learn more about percentage here:

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Answer:

canopy layer

Step-by-step explanation:

Answer:

25.5

Step-by-step explanation:

Median calulater

Step-by-step explanation:

Given

5c + 9 - 2c - 7

= 3c + 2

Hope it will help :)❤

Answer:

40.32

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8

=40.32

Answer: 18x + 12

Step-by-step explanation:

3 ( 6x + 4 )

3 x 6x = 18x

3 x 4 = 12

18x + 12

Answer:

x = -50

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+4=104

Step 1: Subtract 4 from both sides.

−2x+4−4=104−4

−2x=100

Step 2: Divide both sides by -2.

−2x/-2  100/-2

=-50  

Answer:

B.  Interquartile range

E. Range

Step-by-step explanation:

When the variability is to be used for comparing the two data sets so the measures that should be considered is range & interquartile range as it shows the difference also it compared the two different data sets

Therefore option B and E is correct

And, the rest of the options are wrong

Step-by-step explanation:

x-3>7 =>

x>10

hope this helps

Answer:

1 is the like term in a series as there is nothing common

.sorry if mistake.

like terms =

2x,-6x,

5y²,-9x²,18y²

Answer:

-

Step-by-step explanation:

a minus sign.

Answer:

Negative, should be the answer. if not I don't know what your teachers are on.

Answer:

25 Hours

Step-by-step explanation:

200 computers divided by 8 an hour gives you 25 hours to assemble the computers.

200 ÷ 8 = 25

I hope this helps. ^^

Answer:

2

Step-by-step explanation:

The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.

Answer:

63.4

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

As you can see in the first problem, the dots are going upward in an upwards pattern from left to right. If its going upwards, it is positive. Negative would be going down, and no correlation would be all over the place, yet the dots are precise. As for the second problem, it is once again going upwards, so this is showing an increase.

Answer:

The Eiffel tower is taller because 319 meters into feet is 1046

so the true equation would be 1,986 > 1,046

Step-by-step explanation:

Answer:

In this question the y is 3.

Step-by-step explanation:

3 x 3 is 9.

9 + 1.8 = 10.8

Answer:

8

Step-by-step explanation:

2+(5)(2)−4

=2+10−4

=12−4

=8

Answer:

6.2222222222 over 3 to the power of 2 + 5 × 2 − 4

Answer:1/9

Step-by-step explanation: divide both sides of the fraction by 2

Answer:

1/9

both divide by 2 then 2/2=1 and 18/2=9 so that the answer will be 1/9

Answer:

4/3

Step-by-step explanation:

Answer:

a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

b) 3 backup systems are needed.

Step-by-step explanation:

For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three separate computer control systems

This means that [tex]n = 3[/tex]

The probability of failure for any one system on any one mission is known to be 0.01.

So the probability of working is:

[tex]p = 1 - 0.01 = 0.99[/tex]

(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)

This is [tex]P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]

0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand

This is n for which:

[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]

With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.

We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]

So 3 backup systems are needed.

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

lateral area of pyramid = surface area of pyramid - base area

= 384 - 8²

= 320 cm²

area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)

slant height = 20 cm

The volume of the box will be → 980 square inches.

The volume of cuboid is found using the formula:

Volume = Length × Width × Height

Given is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high.

The volume of the box will be→

V= L x B x H

V= 14 x 7 x 10

v = 140 x 7

V= 980 square inches

Therefore, the volume of the box will be → 980 square inches

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Answer:

Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]

Answer:

-4x ≥ 14

x ≥ -3.5

Graphed (numberline):

<-----------3.5---0------------->

could be x

Answer:

10 minutes.

Step-by-step explanation:

Note the amount of minutes in an hour.

1 hour = 60 minutes.

The system can paint 6 cars in an hour. Divide 60 minutes with 6 cars:

60/6 = 10

Each car takes 10 minutes to get fully painted.

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