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2 years ago

Solve the following system of equations graphically on the set of axes below Y= -2x - 7 Y= 3x - 2

Mathematics

1 answer:

elixir [45]2 years ago

3 0

Answer:

x=−1 and y=−5

Step-by-step explanation:

hope this helps

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Suppose you are given either a fair dice or an unfair dice (6-sided). You have no basis for considering either dice more likely

hoa [83]

Answer: Our required probability is 0.83.

Step-by-step explanation:

Since we have given that

Number of dices = 2

Number of fair dice = 1

Probability of getting a fair dice P(E₁) = $\dfrac{1}{2}$

Number of unfair dice = 1

Probability of getting a unfair dice P(E₂) = $\dfrac{1}{2}$

Probability of getting a 3 for the fair dice P(A|E₁)= $\dfrac{1}{6}$

Probability of getting a 3 for the unfair dice P(A|E₂) = $\dfrac{1}{3}$

So, we need to find the probability that the die he rolled is fair given that the outcome is 3.

So, we will use "Bayes theorem":

$P(E_1|A)=\dfrac{P(E_1)P(A|E_1)}{P(E_1)P(A|E_1)+P(E_2)P(A|E_2)}\\\\(E_1|A)=\dfrac{0.5\times 0.16}{0.5\times 0.16+0.5\times 0.34}\\\\P(E_1|A)=0.83$

Hence, our required probability is 0.83.

8 0

2 years ago

Divide £50 in the ratio of 1:4

NikAS [45]

Answer=10:40

Explanation:

Don’t know how to type the symbol in font of the 50 so I will substitute
£50=$50

So 1:4
Add it up
1+4=5

So 5 total units
$50=5
Divided by 5
$10=1 units

So 1:4=10:10 times 4=10:40

6 0

2 years ago

Which expression is equal to (3x−5)(2x−7)?

olga2289 [7]

(3x-5)(2x-7)
6x^2 - 21 x -10x +35
6x^2 -31x +35

The first one

8 0

2 years ago

Read 2 more answers

You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,00 in price. The

cricket20 [7]

Answer:

c) skewed to the right.

Step-by-step explanation:

We need to remember that is a distribution is skewed to the right then we have the following condition satisfied:

$Mode< Median$

And if is skewed to the left then we have:

$Mean$

If the distribution is symmetric we need to satisfy:

$Mean = Median=Mode$

For this case since we have most of the values between 200000 and 500000 when we put atypical values like 15000000 that would affect the sample mean and on this case the sample mean would larger than the sample median because the median is a robust measure of central tendency not affected by outliers.

So for this special case we can say that the $Mean>Median$ . And probably the median would be higher than the mode so then we can conclude that the best answer for this case would be:

c) skewed to the right.

5 0

2 years ago

A suitcase measures 24 inches long and the diagonal is 30 inches long. How much material is needed to cover one side of the suit

azamat

Answer:

I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.

Step-by-step explanation:

a^2+b^2=c^2 Substitute the values for a and c

24^2+b^2=30^2 Solve for the powers

576+b^2=900 Subtract 576 from both sides

b^2=324 Solve for the root of 324

18=b

You would need 18 inches of material to cover one side of the suitcase.

8 0

2 years ago