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DochEvi [55]
2 years ago
14

Hint: 180 * 1. Find the missing angle. 29 R 61 T

Mathematics
1 answer:
shepuryov [24]2 years ago
5 0

Answer:

∠ R = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ R + ∠ S + ∠ T = 180° , substitute values

∠ R + 29° + 61° = 180°

∠ R + 90° = 180° ( subtract 90° from both sides )

∠ R = 90°

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Last​ year, a person wrote 126 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume
Arisa [49]

Answer:  The mean number of checks written per​ day  =0.3452

Standard deviation=0.5875

Variance  =0.3452

Step-by-step explanation:

Given : The total number of checks wrote by person in a year = 126

Assume that the year is not a leap year.

Then  1 year = 365 days

Let the random variable x represent the number of checks he wrote in one​ day.

Then , the mean number of checks wrote by person each days id=s given by :-

\lambda=\dfrac{126}{365}\approx0.3452

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. \sigma^2=\lambda=0.3452

Standard deviation : \sigma=\sqrt{0.3452}=0.5875372328\approx0.5875

6 0
3 years ago
Hi! Please help me, will mark brainliest!
PIT_PIT [208]

Answer:

p(t) = 0 for t = 1

p(t) = 1 for t = 1/8 = 8^-1

Step-by-step explanation:

the graph you will have to do yourself.

just go there and type in

-  log_{8}(x)

well, don't type "log" in letters.

you start by typing the "-" sign, and then you need to look up the functions by clicking on the "funcs" button and look for the log functions .

pick the

log_{a}

option. and then simply enter 8 as the first parameter in the {} brackets and x as the second in the () brackets.

and then you see.

any logarithm is 0 for x (or t) = 1.

because any a⁰ = 1.

and the logarithm gives you that exponent of the base number that leads to the given x value.

in other words : a logarithm is the inverse function of an exponential function.

the exponential function is

y = a^x

and the logarithm then determines

x =  log_{a}(y)

that is all.

and

-  log_{8}(x)  = 1

means that the logarithm itself delivered -1.

and 8^-1 = 1/8

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5 0
2 years ago
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Yanka [14]

Answer:

1. Infinitiely many solutions, one solution, no solutions

2.

y=-3/2x-4

y= x+1

3.

y=1/4x-2

y=1/4x+3

Step-by-step explanation:

4 0
3 years ago
What is the difference in the size between 1/4 and 1 1/2
masya89 [10]
1 1/2 can be rewritten as 3/2
Difference means subtraction

So we do:
3/2-1/4
To get the same denominator, we can multiply the first fraction by 2
6/4-1/4

Then we subtract the numerators and leave the denominator
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Hope this helps
8 0
3 years ago
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Anna007 [38]

Answer:

Therefore,

C=\pi d\\C\approx 3.14 \times d\\C\approx 43.96\ inches

Step-by-step explanation:

Let Assume Some Diameter of a Circle, to Solve it

Diameter = d = 14 inch ( say )

C =Circumference

Pi =constant = 3.14

To Find:

C = ?

Solution:

Formula for Circumference of a Circle is given as

C=\pi d

Where,

C = Circumference

d = Diameter

Now Substitute d = 14 inches we get

C=3.14\times 14\approx 43.96\ inches

This way we can find the circumference for any 'd' i.e Diameter

Therefore,

C\approx 43.96\ inches

6 0
3 years ago
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