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
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
and standard deviation
, the zscore of a measure X is given by:

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:

What percentage of customers spend more than 46 minutes?
This is 1 subtracted by the pvalue of Z when X = 46. So



has a pvalue of 0.9987
1 - 0.9987 = 0.0013
0.13% of customers spend more than 46 minutes
Ann has 8 more socks then tom
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
<h2>
Answer:</h2>

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>

<u>5 squared:</u>

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

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

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