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3 years ago

Helppp outt plss....

Mathematics

1 answer:

gayaneshka [121]3 years ago

6 0

<h3>Answers: x = 30 and y = 150</h3>

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Explanation:

For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.

One pair of such angles is A and C

A+C = 180

x+y = 180 is one equation to form

The other pair of supplementary angles is B and D

B+D = 180

y-45+2x+15 = 180

2x+y-30 = 180

2x+y = 180+30

2x+y = 210 is the other equation to form

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So the system of equations we have is

$\begin{cases}x+y = 180\\2x+y = 210\end{cases}$

Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.

The x terms subtract to x-2x = -x
The y terms subtract to y-y = 0y = 0, so the y terms go away
The right hand sides subtract to 180-210 = -30

We end up with -x = -30 which solves to x = 30

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Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y

Let's say we picked on the first equation

x+y = 180

30+y = 180

y = 180-30

y = 150

Or we could pick on the second equation

2x+y = 210

2(30) + y = 210

60+y = 210

y = 210-60

y = 150

Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.

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PLS HELP ME UNDERSTAND THIS

stepladder [879]

9514 1404 393

Answer:

2 2/3

Step-by-step explanation:

Let the number be represented by x. Then the problem statement is telling you ...

4 5/9 = 2 1/3 + (5/6)x

You can isolate the x term by subtracting 2 1/3 from both sides of the equation. (The properties of equality require that the same operation be performed on both sides of the equation.)

(4 5/9) - (2 3/9) = (2 3/9) -(2 3/9) +(5/6)x

2 2/9 = (5/6)x

The definition of the multiplicative inverse tells you that the coefficient of x can be made to be 1 if the term is multiplied by (6/5). We must do that to both sides of the equation.

(6/5)(2 2/9) = (6/5)(5/6)x

(6/5)(20/9) = x . . . . simplify

120/45 = x . . . . . . do the multiplication

8/3 = x = 2 2/3 . . . . . . . reduce the fraction

The number is 2 2/3.

_____

<em>Additional comment</em>

The number we're looking for is multiplied by 5/6 and the result has 2 1/3 added to it. To find the number, we "undo" these operations, in reverse order. We undo the addition by subtracting the amount that was added. We undo the multiplication by multiplying by the inverse of that factor.

This is the sort of logic that you would use to fill in the blank for ...

7 = 1 + 3×___

You probably recognize that this breaks down into two problems:

7 = 1 + ___ . . . . . (6 goes in the blank)

and

6 = 3×___

You may notice that for all of these problems, a good knowledge of addition and multiplication facts is useful.

8 0

3 years ago

The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to

alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

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:

$n = 1164, p = 0.038$

$\mu = E(X) = np = 1164*0.038 = 44.232$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231$

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is $P(X \geq 47 - 0.5) = P(X \geq 46.5)$ , which is 1 subtracted by the pvalue of Z when X = 46.5.

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

$Z = \frac{46.5 - 44.232}{6.5231}$

$Z = 0.35$

$Z = 0.35$ has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0

3 years ago

A blue marlin can swim at speeds of about 50 miles per hour what is that speed in feet per second to the nearest whole number (r

sleet_krkn [62]

Multiply the amount of feet in one mile by the amount of miles in the question(5,280 x 50 = 264,000)

Divide the amount of feet in 50 miles by the amount of minutes in 1 hour to get the amount of feet per mile (264,000 ÷ 60 = 4,400)

Divide the amount of feet per mile to get by the amount of seconds in a minute to get the amount of feet per second (4,400 ÷ 60 = 73.33)

Your answer rounded to the nearest whole number is "73"

4 0

4 years ago

Read 2 more answers

For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the

kupik [55]

Answer:

Jim only found 15 of the containers.

Step-by-step explanation:

If his mom hid 875 jelly beans evenly into 25 containers we can easily multiply 25 x 35 = 875, which means there were 35 jelly beans in each container.

Jim only found an amount of 385 jelly beans. To find out how many containers he found, all you have to do is divide 385 by 25 which gives us 15.4.

15.4 rounded to the nearest whole number is 15. So your answer would be that Jim found only 15 out of 25 containers.

6 0

3 years ago

And this problem your multiplying 12 by 6 was 12 called in this math problem

Lynna [10]

To multiply one number ( a multiplicand ) by another ( a multiplier ) means to repeat a multiplicand as an addend times. The result of multiplying is called a product. The operation of multiplication is written as: 12 x 6, or 12 * 6

Multiply 12 by 6

6 is called the Multiplier

12 is called the Multiplicand

72 is called the Product

Therefore, a multiplicand and a multiplier are called factors or multipliers.

Hope that helps!!!! : )

5 0

3 years ago

Helppp outt plss....​

Helppp outt plss....