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3 years ago

a missing fraction on a number line is located exactly halfway between 3/6 and 5/6. what is the missing fraction?

Mathematics

1 answer:

Blizzard [7]3 years ago

4 0

4/6 Hopes this helps u good luck

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A train travels 325 miles every 5 hours. What is the UNIT RATE of the train?

telo118 [61]

Answer: The unit rate is 65 miles per hour.

Step-by-step explanation:

8 0

3 years ago

The average speed of a car driving down freeway is 70mph with a standard deviation of 5mph. Thid speed is normally distributed.

ikadub [295]

Answer:

0.081,0.2621,0.645,0.919

Step-by-step explanation:

Let X be the average speed of a car driving down freeway

Given that X is normal with mean as 70mph with a standard deviation of 5mph.

To convert to Z score we do

$Z =\frac{x-70}{5}$

a) the probability that a randomly selected car is driving more than 77mph

$=P(X>77)\\=P(Z>1.4)\\=0.081$

b) probability that a randomly selected car is driving between 65 and 69 mph

= $P(-1$

c) the probability that a randonly selected car is driving between 67 and 77mph

= $P(-0.6$

d) the probability that a randomly selected car is driving less than 77mph

$=P(Z$

5 0

3 years ago

Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g

son4ous [18]

Answer:

5 , 4.5, 13.5 and 40.5

Step-by-step explanation:

Since the numbers are in geometric progression, their form is essentially:

a, ar, ar^2 and ar^3

Where a and r are first term and common ratio respectively.

From the information given in the catalog:

Third term is greater than the first by 12 while fourth is greater than second by 36.

Let’s now translate this to mathematics.

ar^2 - a = 12

ar^3 - ar = 36

From 1, a(r^2 - 1) = 12 and 2:

ar(r^2 - 1) = 36

From 2 again r[a(r^2 -1] = 36

The expression inside square bracket looks exactly like equation 1 and equals 12.

Hence, 12r = 36 and r = 3

Substituting this in equation 1,

a( 9 - 1) = 12

8a = 12

a = 12/8 = 1.5

Thus, the numbers are 1.5, (1.5 * 3) , (1.5 * 9), (1.5 * 27) = 1.5 , 4.5, 13.5 and 40.5

7 0

3 years ago

The sides of a hexagon are increased by 2 units. If the perimeter of the new hexagon is 72 cm, find the length of one side of th

NARA [144]

Answer:

10 cm

Step-by-step explanation:

72/6 = 12 cm per side

12 - 2 =10

5 0

3 years ago

Bryon is solving the equation 22 - 6x = 15. He gets to 7 = 62. Is this a valid way to solve the equation?

zysi [14]

Answer:

Step-by-step explanation:

22 - 6x = 15

subtract 22 from both sides

-6x = -7

divide both sides by -6

x = 7/6 or 1 1/6

7 0

3 years ago