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3 years ago

Someone please help thanks!!

Mathematics

1 answer:

rosijanka [135]3 years ago

4 0

So remember that a reflection is a rigid motion. It only moves the quadrilateral, it doesn't change its size at all, which includes the angles and side lengths as well.

Therefore, x-axis (and all) reflections preserve the congruency of the original image and the after image, and does not alter side lengths and angle degrees. The only thing it does is flip the image so that it's the same distance from the x-axis on the other side.

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Geometric sequences HELP ASAP!

Pani-rosa [81]

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{560}{1120}$

$r=0.5$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where a is the first term and r is the common ratio.

Putting $a=1120, r=0.5$ , we get

$a_n=1120(0.5)^{n-1}$

Therefore, the required formula for the given sequence is $a_n=1120(0.5)^{n-1}$ .

We need to find the 10th term of the given sequence. So, substituting $n=10$ in the above formula.

$a_{10}=1120(0.5)^{10-1}$

$a_{10}=1120(0.5)^{9}$

$a_{10}=1120(0.001953125)$

$a_{10}=2.1875$

Therefore, the 10th term of the given sequence is 2.1875.

6 0

3 years ago

A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5

EastWind [94]

The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%

<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>

The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

<u>Definition of variables</u>

mean, μ = 16.3 centimeters

standard deviation, σ = 2.5 centimeters

X = 10.8 and 12.8 centimeters

z score, z

substituting into the formula

for X = 12.8 centimeters

= (X - μ) / σ

= (12.8 - 16.3) / 2.5

= -1.4

the p value for z of -1.4 = 0.161513

for X = 10.8 centimeters

= (X - μ) / σ

= (10.8 - 16.3) / 2.5

= -2.2

the p value for z of -2.2 = 0.027807

the probability is calculated as below

0.161513 - 0.027807= 0.133706

= 0.13

=13%

Learn more about standard deviation at:

brainly.com/question/28948351

#SPJ1

8 0

1 year ago

Please help. Also please show your work. Y/5 - 2/5

Maurinko [17]

Answer:

0.2(y-2)

Step-by-step explanation:

factor out 1/5 from the expression

1/5×(y-2)

0.2(y-2)

8 0

3 years ago

Can anybody help with this question

noname [10]

You answer will be either 15% or 13%

8 0

3 years ago

Read 2 more answers

In the standard (x, y) coordinate plane, if the x-coordinate of each point is 2 times the y-coordinate, what is the slope of the

aleksklad [387]

Answer:

the slope is 1/2

Work:

if the x-coordinate is two times the y-coordinate, that means you are going up one over two each time

slope= y2-y1/x2-x1

so you can pick two points, like (2, 1) and (4,2) and use the formula

slope= 2-1/4-2= 1/2

8 0

3 years ago