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3 years ago

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rosy has 16 pencils and 24 erasers. she is putting together packets that will have an equal number of pencils and erasers in eac

h packet. If rosy uses all of the pencils and erasers, what’d the max number of packets she can make?

1 answer:

faust18 [17]3 years ago

4 0

Answer:48

Step-by-step explanation: you were indirectly asked for the L.C. M of 16 and 24

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bixtya [17]

Answer:

$-3 ± 2\sqrt{3} = x$

Step-by-step explanation:

x² + 6x + 9 = 12 → x² + 6x - 3

Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:

$x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}$

$-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} = -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}$

√48 = √[3 × 16] = 4√3

½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

-3 ± 2√3

I am joyous to assist you anytime.

7 0

2 years ago

The areas of 10 cities are given in the table.

Masteriza [31]

The range for the cities in the south is 145 larger than the range for the cities in the north.

We find the range by subtracting the highest and lowest values; in the North, we have:
305 - 58 = 247

In the South, we have:
503 - 111 = 392

The difference in the ranges is 392 - 247 = 145.

5 0

3 years ago

Read 2 more answers

g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distrib

algol13

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

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 $n = 125, s = \frac{7320}{\sqrt{125}}$

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

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

$Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

4 0

2 years ago

Please help me!!<br> Best one gets brailiest!

brilliants [131]

<h3>Answer: 8 = g/3</h3>

Explanation:

When translating word problems into equations, the word "is" often means "equal sign"

The term quotient is the result of a division problem. So "quotient of g and 3" means "g divided by 3" or g/3.

5 0

3 years ago

A shopper bought a 12-pound bag of oranges for 18.75. What is the unit price per ounce?

noname [10]

Answer:

About $0.10 per ounce

Step-by-step explanation:

12 pound costs $18.75. Lets find the cost per pound first:

Cost Per Pound = $\frac{18.75}{12}=1.5625$

We know, there are 16 ounces in 1 pound.

We know 1 pound costs 1.5625

To find cost per ounce, we have to divide this by 16.

So,

Cost Per Ounce = $\frac{1.5625}{16}=0.097$

Rounded to nearest cent, that would be 10 cents per ounce

5 0

3 years ago