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8090 [49]
3 years ago
6

Quadrilateral ABCD​ is inscribed in this circle. What is the measure of angle C?

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

107 degrees

Step-by-step explanation:

For an inscribed quadrilateral, the opposite angles are supplementary. Thus, B+D = 180 and you can solve for x.

3x+9+2x-4 = 180

5x = 175

x = 35

Next, plug the x value into angle A.

2(35) + 3 = 73

Angle C is the supplement of this which is 180-73 = 107

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Suppose that scores on the mathematics part of a test for eighth-grade students follow a Normal distribution with standard devia
riadik2000 [5.3K]

Answer:

We need an SRS of scores of at least 153.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large an SRS of scores must you choose?

This is at least n, in which n is found when M = 20, \sigma = 150. So

M = z*\frac{\sigma}{\sqrt{n}}

20 = 1.645*\frac{150}{\sqrt{n}}

20\sqrt{n} = 1.645*150

\sqrt{n} = \frac{1.645*150}{20}

\sqrt{n} = 12.3375

(\sqrt{n})^{2} = (12.3375)^{2}

n = 152.2

Rounding to the next whole number, 153

We need an SRS of scores of at least 153.

8 0
3 years ago
Consider kite BKRY below where mLBKH = 36. Find the measure of each following angle.
andriy [413]
2,4,44 because the gathing numbers are equal to represent
7 0
3 years ago
Read 2 more answers
0.5 ft<br> 0.4 ft<br> 0.8 ft<br> Area of base =
beks73 [17]

Answer:

it may can be 0.16 ft

Step-by-step explanation:

0.5 x 0.4 = 0.2

0.8 x 0.2 = 0.16

7 0
3 years ago
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. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a dis
nalin [4]

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

8 0
4 years ago
How to find if it is a function or not:
Leto [7]

Answer: It is not a function.

Step-by-step explanation:

A function is something that "eats" an input and transforms it into an output.

We write them as y = f(x)

Where x is the input, and y is the output.

Now, a function has an important rule, for each input x, the function can only "transform it" (or map it) into only one possible output.

This means that, for example, if we have, for x = x1.

And a single

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f(x1) = y2

where y1 and y2 are different values.

Then this is not a function, because it is mapping the value x1 into two different outputs.

In this case, we would have:

f(Z) = A.

So Z is the input, but we know that a ZIP code works for an entire city, and in a given city we have lots of different street addresses, then for a single value of the input, Z, we have a lot of possible values of the output.

This means taht the set (Z, A) can not represent a function.

6 0
3 years ago
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