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3 years ago

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what is the first step?

1 answer:

laiz [17]3 years ago

6 0

Changing the cos to sin from the following identity cos x ^2 + sin x ^2 =1

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According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones

schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 237, \sigma = 54$

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

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

$Z = \frac{160 - 237}{54}$

$Z = -1.43$

$Z = -1.43$ has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0

3 years ago

State one rational number between -0.45 and -0.46 (answer must be in decimal form.)

seraphim [82]

A rational number between the two given ones is -0.455, such that:

-0.45 > -0.455 > -0.46

<h3>How to find a rational number between the two given ones?</h3>

A rational number is any number that can be written as a quotient between two integer numbers.

Particularly, any number with a finite number of digits after the decimal point is also a rational number.

So to find a rational number between -0.45 and -0.46 we could se:

-0.455, such that:

-0.45 > -0.455 > -0.46

Learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

6 0

1 year ago

Complete the missing parts of the

Alex787 [66]

Answer:

y=1

Step-by-step explanation:

the missing parts of the table

6 0

3 years ago

Find the area of a regular hexagon with the measurement 4- inch side

olga2289 [7]

The answer is 24 root 3 or 41.56921938.

6 0

4 years ago

A set of a thousand numbers has a mean of zero.

Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

-----------------------------

For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

Here we know that:

The mean of the set is 0.
The set has 1000 elements.
998 of these elements are ones, the other two are A and B.

We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

$\frac{1 + 1 + 1 + ... A + B}{1000} = 0$

We can rewrite this as:

$1 + 1 + 1 +... + A + B = 0$

And we have 998 ones, then:

$1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A$

Now we have B isolated.

With this, the mean of A and B can be written as:

$\frac{A + B}{2} = \frac{A - 980 - A}{2} = -490$

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

5 0

3 years ago