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olga55 [171]
2 years ago
13

a square with sides of 3 square roots of 2 is inscribed in a circle.What is the area of one of the sectors formed by the radii t

o the vertices of the square

Mathematics
2 answers:
dezoksy [38]2 years ago
4 0
So hmm notice the picture below

recall, a square has all angles to 90°, thus, the diagonals bisecting any of the vertices, will make a 45° on each

anyhow, \bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
\theta=\textit{central angle in degrees}\\
r=radius\\
----------\\
\theta=90\\
r=3
\end{cases}

dem82 [27]2 years ago
4 0

first you take a right triangle out then you

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The Town of Hertfordshire clerk knows that 23% of dogs in the town have completed emotional support training. Hertfordshire plan
Nataly_w [17]

Answer:

95.64% probability that under 30% of the dogs are emotional support trained

Step-by-step explanation:

For each dog, there are only two possible outcomes. Either they have completed emotional support training, or they have not. So we use the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

\mu = E(X) = np = 100*0.23 = 23

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.23*0.77} = 4.21

What is the probability that under 30% of the dogs are emotional support trained?

30% of 100 is 0.3*100 = 30

So this is the pvalue of Z when X = 30.

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 23}{4.1}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564.

So there is a 95.64% probability that under 30% of the dogs are emotional support trained

5 0
3 years ago
Find the value of x and the value of y
Doss [256]

Answer:

C

Step-by-step explanation:

These sides are in a ratio:

1 : 2 : \sqrt{x} 3

Therefore:

6 0
2 years ago
Solve the equation 7(w +13) = 35.<br> ) What is the value of w?
Nina [5.8K]

Answer: -8

Step-by-step explanation:

  1. 7(w+13)=35 [given]
  2. w+13=5 [divide both sides by 7]
  3. w = -8 [subtract 13 from both sides]
3 0
1 year ago
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Y=4+3x <br>2x+1=y<br>What Is The Point Of Intersection?
nlexa [21]
Y = 4+3x
2x+1 = y

Rewrite as two systems of equations.

3x - y = -4
2x - y = -1

Now use the substitution method to find the point of intersection.

You can also graph both equations on the same xy-plane using your graphing calculator to find the desired point.



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Answer:

2/3 of paint I believe because of the amount shown

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3 years ago
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