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son4ous [18]
2 years ago
15

If x is the midpoint of wy, wx =3x-1and wy =10x-26 find xy

Mathematics
1 answer:
Firlakuza [10]2 years ago
4 0

Answer:

The length of XY is 17

Step-by-step explanation:

Given that X is midpoint of line WY

WX=3x-1

WY=10x-26

To find XY:

Given WY is straight line and X is midpoint of line WY

We can write as

WX+XY=WY

(3x-1)+XY=(10x-26)

XY=7x-25

Also, WX=XY

(3x-1)=(7x-25)

-1+25=7x-3x

4x=24

x=6

The length of XY is 7x-25=7(6)-25=42-25=17

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Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults t
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Answer:

They purchased 14 adult tickets and 4 kids tickets.

Step-by-step explanation:

14 x 5 = 70

3x4=12

and then add 70 plus 12 to get 82 dollars.

7 0
2 years ago
According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That
timama [110]

Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

3 0
2 years ago
The cost to print fliers for the opening of an art show varies directly with the number of copies. If it cost $45 to print 750 c
nika2105 [10]

Answer:

Step-by-step explanation:

5 0
2 years ago
jacks tent is shaped like an isosceles triangle. the height of the tent measures 7 feet and the diagonal side measures 9 feet. f
Maru [420]

Answer:

8\sqrt{2}\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

Remember that

An isosceles triangle has two equal sides and two equal interior angles

In the isosceles triangle ABC

Applying the Pythagorean Theorem

Let

b ----> the length of the tents base

9^2=7^2+(b/2)^2

(b/2)^2=9^2-7^2

(b^2/4)=32

b^2=128\\\\b=\sqrt{128}\ ft

simplify

b=8\sqrt{2}\ ft

7 0
2 years ago
Tyrone's hourly wage is $18 and his net pay is 72% of his earnings Tyrone spends about $1800 on his monthly expenses if Tyrone w
allsm [11]

Answer:

The monthly cash inflow is $273.6

Step-by-step explanation:

It is given that hourly wage is $18 and his net pay is 72% of his earnings.

First, calculate the 72% of $18.

72% of his earnings is \$18\times \frac{ 72}{100}= \$12.96.

Tyrone works 40 hours per week .

The number of working hours in a month is: 40\times4=160 \text{ hours}

For 1 hour is he was getting $12.96.

For 160 hours he will get: 160\times 12.96=\$2073.6

His total monthly cash inflow is $2073.6 - $1,800=$273.6

Hence, the monthly cash inflow is $273.6

5 0
2 years ago
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