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Y_Kistochka [10]
3 years ago
11

Evaluate 5a-2b if a=3, and b=2

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

11

Step-by-step explanation:

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Amilia sent an equal number of messages each day for one week. At the end of the week, she had sent 490 messages!! How many mess
almond37 [142]

Answer:Number of messages sent everyday =70 messages

Step-by-step explanation:

Total Number of messages sent in a week = 490

since she sends equal amount of messages everyday, we have that

1 week = 7 days

Number of messages sent everyday = 490/ 7 = 70 messages

4 0
3 years ago
A retail store did research and determined that, on average, each customer spends 40 minutes in their store per visit, with a st
Blababa [14]

Answer:

0.13% of customers spend more than 46 minutes

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 40, \sigma = 2

What percentage of customers spend more than 46 minutes?

This is 1 subtracted by the pvalue of Z when X = 46. So

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

Z = \frac{46 - 40}{2}

Z = 3

Z = 3 has a pvalue of 0.9987

1 - 0.9987 = 0.0013

0.13% of customers spend more than 46 minutes

6 0
2 years ago
Ann has 14 socks. tom has 6 socks. how many more socks does ann have than tom
Readme [11.4K]
Ann has 8 more socks then tom
4 0
3 years ago
20 POINTS, please help!!Factor the algebraic expression below in terms of a single trigonometric function.
Lubov Fominskaja [6]
Csc²x - 1

1/sin²x  -  1

1/sin²x  -  sin²x / sin²x

(1 - sin²x) / sin²x

Recall that sin²x + cos²x = 1

So cos²x = 1 - sin²x

So we can replace numerator to cos²x

cos²x / sin²x
 
= cot²x

Final answer: cot²x
6 0
2 years ago
Simplify 4 to the 7th over 5 squared all raised to the 3rd power
alisha [4.7K]
<h2>Answer:</h2>

\left(\frac{4^{21}}{5^6}\right)

or

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

<u>4 to the 7th:</u>

4^7

<u>5 squared:</u>

5^2

<u>4 to the 7th over 5 squared:</u>

\frac{4^7}{5^2}

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u>\left(\frac{4^7}{5^2}\right)^3</u>

Using the law of exponents:

\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)

Finally, the answer is 4 to the 21st over 5 to the 6th.

8 0
3 years ago
Read 2 more answers
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