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erma4kov [3.2K]
2 years ago
6

Simplify 4.9+1 i dont get it​

Mathematics
2 answers:
dimulka [17.4K]2 years ago
5 0

Answer:

4/9.1

Step-by-step explanation:

vredina [299]2 years ago
4 0

Answer:

5.9

Step-by-step explanation:

The answer should be 5.9, is it multiple choose or type in your answer? But it should be 5.9

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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
2 years ago
£38.40 divided by 16
Nikitich [7]
It is 2.4 because 16 goes twice and the remainder is 4
4 0
3 years ago
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A weather balloon is 100,000 feet above sea level, and a submarine is 15,840 feet below sea level, drectly under the weather bal
GarryVolchara [31]

\text{Calculate how far apart the balloon and submarine are from each other}\\\\\text{We know that the balloon is 100,000 feet ABOVE sea level}\\\\\text{We also know that the submarine is 15,840 BELOW sea level}\\\\\text{To find the distance between each other, add the values, since they're}\\\text{farther apart since one's below sea level and one is above sea level}\\\\100,000+15840=115,840\\\\\boxed{\text{Answer: 115,840 feet apart }}

5 0
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Teresa's restaurant bill comes to $29.99 before tax. If the sales
vivado [14]
The answer is $37.86 !! hope this helps
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3 years ago
Pamela's age is three times jiri's age. the sum of their ages is 88 . what is jiri's age?
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Jiri is 22 years old and Pamela is 66

22•3=66
22+66=88
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3 years ago
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