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KATRIN_1 [288]
3 years ago
12

Given: ΔABC

Mathematics
1 answer:
joja [24]3 years ago
7 0

Answer:

first draw three triangle of different sizes and shape after that make box and measure each angle of each triangle with protractor and add three angles of triangle after you will find answer 180

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A researcher examines 27 water samples for mercury concentration. The mean mercury concentration for the sample data is 0.097 cc
jonny [76]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.0074

n = number of samples = 27

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 27 - 1 = 26

Since confidence level = 90% = 0.90, α = 1 - CL = 1 – 0.9 = 0.1

α/2 = 0.1/2 = 0.05

the area to the right of z0.05 is 0.05 and the area to the left of z0.05 is 1 - 0.05 = 0.95

Looking at the t distribution table,

z = 1.706

The critical value is 1.706

Margin of error = 1.706 × 0.0074√27

= 0.0024

The 90% confidence interval is

0.097 ± 0.0024

4 0
3 years ago
Solve by factoring<br> x^2-8x-9 = 0
3241004551 [841]

Answer:

the answer is ( x-9) (x+1) = 0

Step-by-step explanation:

more to the solution is x= -1, 9

4 0
3 years ago
Read 2 more answers
15. What is the algebraic notation of a figure is Translated 8<br> units left and 2 units up?
sasho [114]

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

<em>                                           </em><u><em>FOR QUESTION 16</em></u>

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

4 0
3 years ago
Expand or simplify <br>3c(5+c) -2(3c-7)​
Luden [163]
3c(5+c) -2(3c-7)
15c+3c^2-6c+14
9c+3c^2+14
7 0
3 years ago
Read 2 more answers
Kimberly Burns 360 cal in 45 minutes while jogging determine how many calories can really burns per minute
IgorLugansk [536]

Answer:

8

Step-by-step explanation:

360 divided by 45 is 8 calories per minute

8 0
3 years ago
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