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Strike441 [17]
2 years ago
14

What is the sum of 52.07 and 8.43? (Write the answer as a decimal to the nearest tenth.)

Mathematics
1 answer:
inn [45]2 years ago
7 0
60.5, rounded to the nearest tenth should be 61!!
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Another easy one what is 5x1000
Angelina_Jolie [31]

Answer:

5000

Step-by-step explanation:

i hate how j have to add 20 character to sendddd

7 0
3 years ago
Read 2 more answers
Lexiva is available in 350 mg tablets. How many mg will the patient take in 22 days
Anna11 [10]

Answer:

7700mg

Step-by-step explanation:

Since a tablet is 350mg

For 22days it going to take 350mg x 22 = 7700mg

7 0
3 years ago
Each morning a deli worker has to make several pies and a bucket of potatoes. On Monday, it took the worker 2 hours to make the
Gala2k [10]

The quantities include hours and minutes.

The the known and unknown quantities can be used to write an equation and this gives 60 minutes.

<h3>How to explain the information?</h3>

It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.

Therefore,

2 hours = 120 minutes, and

2.5 hours = 150 minutes.

If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.

The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:

120 + 1.5x = 150 + x

1.5x - x = 150 - 120

0.5x = 30

x = 30/0.5 = 60

The time taken is 60 minutes.

Learn more about quantities on:

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6 0
1 year ago
Can someone step by step explain the answer please
Vinvika [58]

Answer: z = \sqrt{10}

Step-by-step explanation:

To find <em>z</em>, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

\frac{a}{x} =\frac{x}{b}

You can use <em>5</em> as <em>a</em> and <em>2</em> as <em>b</em> to complete the proportion:

\frac{5}{z} =\frac{z}{2}

Next, to solve:

<u>Step 1</u>: Cross-multiply.

\frac{5}{z} =\frac{z}{2}

(5)*(2) = z*z

10 = z²

<u>Step 2</u>: Take square root.

10 = z²

√10 = z

I hope this helps!

8 0
2 years ago
Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

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 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 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.

For sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

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

By the Central Limit Theorem

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

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

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

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0
3 years ago
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