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stiks02 [169]
4 years ago
11

Nine times a number divided by 2 equals 54.

Mathematics
1 answer:
bazaltina [42]4 years ago
4 0

x = the unknown number

\frac{9x}{2} =54

nine <u>times</u>(multiplication) a number(x) divided(division) by 2 equals(=) 54,

so 9x is divided by 2

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Sean is taking drivers ed. And the instructor asked him to stay within 2 miles of the posted speed limits. The current speed lim
Aleonysh [2.5K]

Answer:

{x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)

Step-by-step explanation:

Sean is taking driver's ed. The instructor asked him to stay within 2 miles of the posted speed limits. The current speed limit is 45 mph.

So, the maximum speed which Sean can reach is, (45 + 2) mph

                                                                                   =47 mph

and,  the minimum speed which Sean can reach is, (45 - 2) mph

                                                                                   =43 mph

so, {x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)

3 0
3 years ago
What digit can be in the ones place of a number that has 5 as a factor?
Sedaia [141]
0 and 5 can be in the one's place of a number that has 5 as a factor.
8 0
4 years ago
Read 2 more answers
What is the volume of the right rectangular prism with a length of 18 inches, a width of 4 inches, and a height of 10 inches? 32
egoroff_w [7]

Answer:

720in

Step-by-step explanation:

V=LWH

V=(18)(4)(10)

7 0
3 years ago
Read 2 more answers
AT the local zoo, the aquarium can be seen from the Reptile Room and the Amphibian Arena. What is the total area of both rooms a
BartSMP [9]

Answer:

The total area of both rooms and the aquarium is equal to 10,932 ft²

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

the length sides of Aquarium are

(83-32) x (72-52)-----> 51 ft x 20 ft

Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²

[ total area of both rooms]=2*4,956-----> 9,912 ft²

I'm assuming that the two areas are equal

Area of aquarium=51*20=1,020 ft²

therefore

the total area of both rooms and the aquarium is equal to

9,912 ft²+1,020 ft²=10,932 ft²

6 0
3 years ago
Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut
defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125:

This means that n = 125, s = \frac{7320}{\sqrt{125}} = 654.72

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{39000 - 39725}{654.72}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample mean would be at least $39000

4 0
3 years ago
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