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natita [175]
3 years ago
13

Given the figure, what is tan(B)?

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

\tan B = \frac{b}{a}

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The number of text messsages that teenagers send per month is normally
ki77a [65]

Answer:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Calculate the z score

Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:

X \sim N(3400,450)  

Where \mu=3400 and \sigma=450

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

6 0
3 years ago
Me. Adams divides 223 markers equally among the 26 students in his class. He puts the extra markers in a box. What is the least
Soloha48 [4]
He puts 15 markers in the box. Hope this helps.
6 0
3 years ago
Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease
Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

\frac{2}{3}

Now,

First year =570000

Second year is given by

570000\times (\frac{1}{3})

Third year is given by

570000(\frac{1}{3})^2

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6

a=570000

common ratio is given by

r=\frac{a_2}{a_1}=\frac{1}{3}

number of terms = 6

Sum of terms will be given by

S_n=\frac{a(1-r^n)}{(1-r)}

We'll put this value in this formula,

S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16

So, there are approximately 853827 new cases in 6 years.

6 0
2 years ago
PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simpl
Julli [10]

Given:

The given expression is

-4(x+2)-2x+4

To find:

The two other equivalent expressions.

Solution:

We have,

-4(x+2)-2x+4

Using distributive property, we get

=-4(x)-4(2)-2x+4

=-4x-8-2x+4

So, one equivalent expression is -4x-8-2x+4.

On further simplification, we get

=(-4x-2x)+(-8+4)

=6x-4

Therefore, the second and fully simplified equivalent expression is 6x-4.

5 0
3 years ago
Plz need help fast will mark the brainiest
prohojiy [21]

Answer:

0.0081

Step-by-step explanation:

yes bye that's the answer

8 0
3 years ago
Read 2 more answers
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