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Len [333]
4 years ago
15

In a right triangle the acute angles measure 2x 50 and 3x degrees. what is the measure of the smallest angle of the triangle? 10

° 24° 40°
Mathematics
1 answer:
damaskus [11]4 years ago
6 0
2x + 3x = 90
5x = 90
x = 18
smallest angle = 36

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Adjacent Angles:<br><br>Answer:​
lakkis [162]

Hey there!

Adjacent angles are two angles that are connecting, or adjoining. They have a common vertex and a common side, but they DO NOT overlap.

Hope it helps and have a great day!!!!

5 0
3 years ago
What's the answer to this problem
Artyom0805 [142]
So you have to subtract 115 from 15. Then you divide that number by 5 for each relative. That should give you your answer....$20
4 0
3 years ago
Kylie jarred 12 liters of jam after 2 days. How many days does Kylie need to spend making
atroni [7]
Since it requires 2 days to jar 12 liters of jam, if we want to find out how many days it takes to jar 48 liters, we divide 48 by 12 and get 4.
Then we multiply 4 by 2 and get 8 days. It took 8 days to fill 48 liters of jam.
12/2 = 48/x

12x = 96

x = 8
5 0
4 years ago
P(x)=x-3<br> g(x) = 2x-5<br> Find the following.<br> (p ° q)(5)= and (q ° p)(5)=
deff fn [24]

Answer:

  (p∘q)(5) = 2

  (q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

  (p∘q)(x) = p(q(x))

  (p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

  (p∘q)(5) = 2

__

  (q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

  (q∘p)(5) = -1

8 0
3 years ago
2. The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5. Suppose we going t
stiv31 [10]

Answer:

P(\bar X>76)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for 76 we got:

z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2

And if we use the complement rule and the normal standard distribution or excel we got:

P(Z>2) = 1-P(Z

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable who represent the score of golfers. We select a sampel size of 81.

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(\bar X>76)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for 76 we got:

z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2

And if we use the complement rule and the normal standard distribution or excel we got:

P(Z>2) = 1-P(Z

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

6 0
3 years ago
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