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kramer
2 years ago
10

Find the sum of the second multiple of 9 and the fifth multiple of 6.​

Mathematics
1 answer:
timurjin [86]2 years ago
5 0

Answer:

48

Step-by-step explanation:

9,18

6,12,18,24,30

18 + 30 = 48

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Suppose the speeds of cars along a stretch of I-40 is normally distributed with a mean of 70 mph and standard deviation of 5 mph
neonofarm [45]

Answer:

a) 68%.

b) 84%.

c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

e) Between 60 mph and 80 mph.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 70 mph, standard deviation of 5 mph.

(a) Approximately what percent of cars are travelling between 65 and 75 mph?

70 - 5 = 65

70 + 5 = 75

Within 1 standard deviation, so approximately 68%.

(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?

The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.

65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.

0.68*50% + 50% = 34% + 50% = 84%.

84%.

(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?

80 = 70 + 2*10

2 standard deviations above the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:

Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.

(d) What percent of cars are traveling at a speed greater than 80 mph?

Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.

(e) 95% of cars are traveling between what two speeds?

Within two standard deviations of the mean.

70 - 2*5 = 60 mph

70 + 2*5 = 80 mph.

Between 60 mph and 80 mph.

6 0
3 years ago
What is 6 to the 4th power?
s2008m [1.1K]
The answer to 6 to the 4th power is 6•6•6•6=1,296
8 0
3 years ago
What is the value of x?
blsea [12.9K]
Since these are supplementary angles  (two angles which sum to 180°) we can say:

4x+x=180  combine like terms on left side

5x=180  divide both sides by 5

x=36°
3 0
3 years ago
Reflect shape A in the line x = -2
choli [55]

Answer:

(-2,-1); (-2,-4); (0,-1); (0,-3); (-1,-4); (-1,-3)

Step-by-step explanation:

Just reflect it starting at x=-2

7 0
3 years ago
What value of x makes the denominator of the function equal zero? y= 6/4x-40
Scilla [17]
Y=6/(4*10)-40
y=6/40-40
y=6/0
undefined
8 0
3 years ago
Read 2 more answers
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