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2 years ago

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Mathematics

1 answer:

sdas [7]2 years ago

6 0

The angles of a triangle all add up to 180º.

You need to set up and solve the equation:

84+48+3h = 180

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What is the slope of the line shown on the graph?

aivan3 [116]

Answer: x/2 or 0.5

Step-by-step explanation:

rise over run a/b

3 0

3 years ago

Read 2 more answers

The following table shows the probability of rolling the numbers 1 through 7

Marysya12 [62]

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

$\frac{1+2+3+4+5+6+7}{7}=4$

The second moment is..

$\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20$

$\sqrt{20-4^2}=2$

4 0

3 years ago

(6(1) = -5 1) Find (4) in the sequence given by (6(n) = b(n − 1) +9

Sloan [31]

Answer:

f(4) = 22

Step-by-step explanation:

I think that you type wrongly.

we have f(1) = -5

and f(n) = f(n-1) + 9

Find f(4)

Then

with n= 2 we have f(2) = f(1) + 9 = - 5+ 9= 4

with n= 3 we have f(3) = f(2) + 9 = 4 + 9= 13

and finally with n= 4 we find f(4) = f(3) + 9 = 13+ 9= 22

So f(4) = 22

Hope you understand.

8 0

3 years ago

Read 2 more answers

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly s

GaryK [48]

Answer:

The bill size can be considered usual.

Step-by-step explanation:

Mean (μ) = $108.43

Standard deviation (σ) = $36.98

Now, consider the distribution to be normal distribution :

$P(Z=\frac{X-\mu}{\sigma}>\frac{a-\mu}{\sigma})=P(Z>\frac{173-108.43}{36.98})\\\\\implies P(Z>1.75)$

Now, finding values of z-score from the table. We get,

P(Z > 1.75) = 0.9599

⇒ 95.99%

So, only 4.01 % of the people in the city wastes water.

Hence, the bill size can be considered usual.

6 0

3 years ago

Read 2 more answers

10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to

xxTIMURxx [149]

Part (i)

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

Part (ii)

6) AB = DE (corresponding parts of congruent triangles are equal)

4 0

2 years ago