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allochka39001 [22]
3 years ago
6

How to write 354.3 in scientific notation?

Mathematics
1 answer:
aleksley [76]3 years ago
5 0
Move the decimal place over so you get the decimal point in front of the first number (in this case its 3) 
so its  3.543 x 10²
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What is the answer to 7 (10-3x) = 5(10-4x
astra-53 [7]

Answer: 70-27x = 50-20x

Step-by-step explanation: First you do 7 x 10 which equals 70 then 7 x -3x equals -27x. Next you do 5 x 10 which is 50 next you do 5 x -4x equals -20x. So your answer is 70-27x = 50-20x

3 0
3 years ago
I will give you guys 100 points if you help me for just these 5 questions please
nignag [31]

Remember that squaring something is just multiplying that number by itself.

55^2 = 55 \times 55 = 3025

95^2 = 95 \times 95 = 9025

75^2 = 75 \times 75 = 5625

45^2 = 45 \times 45 = 2025

35^2 = 35 \times 35 = 1225

3 0
3 years ago
Read 2 more answers
The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
Amiraneli [1.4K]

Answer:

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size, of at least 30, can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.5, \sigma = 0.289

What are the mean and standard deviation of the sampling distribution of means for SRS of size 50?

By the Central Limit Theorem

\mu = 0.5, s = \frac{0.289}{\sqrt{50}} = 0.0409

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

Does it matter that the underlying population distribution is not normal?

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

What is the probability a sample of 50 people will wait longer than 45 seconds for an elevator?

We have to use 45 seconds as minutes, since the mean and the standard deviation are in minutes.

Each minute has 60 seconds.

So 45 seconds is 45/60 = 0.75 min.

This probability is 1 subtracted by the pvalue of Z when X = 0.75. So

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

By the Central Limit Theorem

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

Z = \frac{0.75 - 0.5}{0.0409}

Z = 6.11

Z = 6.11 has a pvalue of 1

1-1 = 0

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

8 0
3 years ago
Will mark brainliest and 10 points
k0ka [10]

Answer:

4

Step-by-step explanation:

y=4x-3

slope=4

y=5

slope=0

6 0
3 years ago
Read 2 more answers
DUE IN 2 MINTUES PLZZ HELP
dusya [7]

Answer:

320

Step-by-step explanation:

6400 x minute = 6400/60 = 106.66666666666666666666666666667 ft/h

*3=320ft

320ft to miles = 0.0606061

7 0
3 years ago
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