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3 years ago

Solve the system of equation 2x-9y=14 x=-6y+7

Mathematics

2 answers:

grandymaker [24]3 years ago

8 0

x=7 and y=0 those are the answers

n200080 [17]3 years ago

5 0

You know the value of x: -6y +7
So you can replace the x in the first equation:
2*(-6y+7)-9y = 14
distributive law
-12y+14-9y = 14
-21y+14=14
-14
-21y = 0
:(-21)
y = 0
Now you replace the y in the seccond equation with 0
x = -6*0+7
x = 7

ANSWER: x is 7 and y is 0

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A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv

mario62 [17]

Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

$p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}$

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

$p=\frac{1}{6}$

Now, probability of failure is given by the formula:

$q=1-p=1-\frac{1}{6}=\frac{5}{6}$

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

$P(x) = ^nC_xp^xq^{n-x}$

Plug in all the given values and find the probability of 14 successes. This gives,

$P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087$

Therefore, the experimental probability of throwing a five is 0.087.

8 0

3 years ago

I am between 24 and 34 u say my name when u count by twos from 0 u say my name when u count by 5 from 0 what number am i

katen-ka-za [31]

Hi there
let me help you out

The answer is 30
To find the answer you have to find the multiples of 2 and 5
2,4,6,8,10,12, 14,16,18,20,22,24,26,28,30,32,34,
5,10,15,20,25,30

30 comes in both time tables.
it also does not cross 34

hope this helps you

4 0

3 years ago

How did British scientists test Einstein theory of relativity

Stolb23 [73]

Answer: Arthur Stanley Eddington's 1919 expedition confirmed Einstein's prediction for the deflection of light by the Sun during the total solar eclipse of 29 May 1919 which helped to cement the status of general relativity as a true theory. Since then many observations have confirmed the correctness of general relativity.

Hope this helps. Also gimme brainliest.

8 0

2 years ago

Find the factors of x^3 + z^3

bixtya [17]

So to factor
factor out a x+z
(x+z)(x^2-xz+z^2)
the factors are
x+z and x^2-xz+z^2

5 0

3 years ago

for these scenarios, write equations or inequalities that reflect the relationship. The minimum number of hours required to rent

IgorLugansk [536]

Answer:

$100 + 35x \geq 280$ is the inequality that reflect the relationship.

Step-by-step explanation:

Given:

Charge for rental = $100

Additional charge = $ 35

Minimum amount that can be spent = $280

To Find:

equations or inequalities that reflect the relationship = ?

Solution:

Let x be the minimum number of hours

then the charge will be

100 + (number of hours)(additional cost per hour)

That is

100 + 35x

Now the minimum charge amount is $280 So, The charge can be 280 or more than 280

$100 + 35x \geq 280$

3 0

3 years ago