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3 years ago

Name the congruent angles.

Mathematics

1 answer:

Sliva [168]3 years ago

7 0

The answer is: [C]: " ∡C ≅ ∡X ; ∡D ≅ ∡Y ; ∡A ≅ ∡Z " .
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Computers from a certain manufacturer have a mean lifetime of 62 months, with a standard deviation of 12 months. The distributio

Goryan [66]

Answer:

Between 38 and 86 months.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

In this question:

Mean of 62, standard deviation of 12.

Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers?

Within 2 standard deviations of the mean, so:

62 - 2*12 = 38

62 + 2*12 = 86

Between 38 and 86 months.

6 0

3 years ago

Someone help plsss i don’t understand these are my last points no one doesn’t answer my question

UkoKoshka [18]

Answer:

for 1 it is the 3rd graph

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the answer for this cause the answer I put is incorrect

maw [93]

The answer would be 59.

Because the first point is (0, 59) I am positive on this answer. Hope this helps!

6 0

3 years ago

Help me pleaseeeeeee

bekas [8.4K]

It’s b

it has to be 20 c long … kskdhdhiIakakkwdydyxiajajshsuuaisudj

7 0

3 years ago

1.The earnings of a worker is shown by the graph below. Using this graph, answer the questions that follow.

worty [1.4K]

Answer:

a. $y = 2x$

b. The slope represents the common difference

c. $a_n = 2n$

d. $a_{10} = 20$

Step-by-step explanation:

Given:

The graph

Solving (a): The equation

First, we pick any two corresponding points on the graph

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

Next, we calculate the slope using:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{2-4}{1-2}$

$m = \frac{-2}{-1}$

$m=2$

The equation is then calculated as:

$y - y_1 = m(x - x_1)$

$y - 2 = 2(x - 1)$

$y - 2 = 2x - 2$

Make y the subject

$y = 2x - 2+2$

$y = 2x$

(b) Interpret the slope

In (a) above, the slope is calculated as: $m=2$

This represents the common difference of the sequence;

(c) Represent as an arithmetic sequence

We have the following points from the graph:

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

$(x_3,y_3) = (3,6)$

This means that: The first term is 2; the second is 4, the third is 6.....

So, we have:

$a_1 = 2$ --- First Term

$d = a_2 - a_1 = 4 - 2 = 2$ --- Difference

The nth term of an AP is:

$a_n = a_1 + (n - 1)d$

This gives:

$a_n = 2 + (n - 1)*2$

$a_n = 2 + 2n - 2$

Collect Like Terms

$a_n = - 2+2 + 2n$

$a_n = 2n$

(d) Find a10

To do this, we simply substitute 10 for n in $a_n = 2n$

So, we have:

$a_{10} = 2 * 10$

$a_{10} = 20$

8 0

3 years ago