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4 years ago

−x − y = 1

2 answers:

5 0

The system of linear equations

−x − y = 1
y = x + 3

can be solved in various ways. This problem hints that you should graph both lines and find the coordinates of their point of intersection.

But we can also solve this system using substitution. Note that y = x + 3. We can subst. x + 3 for y in the 1st equation, as follows:

-x - (x+3) = 1. This simplifies to -x -x - 3 = 1, or -2x = 4, or x = -2.

Since y = x + 3, subbing -2 for x produces y: y = -2 + 3 = 1

Thus, the solution is (-2, 1).

OLEGan [10]4 years ago

5 0

−x − y = 1 so y = -x- 1
y = x + 3
-x - 1 = x + 3
2x = -4
x = -2

y = -2 + 3 = 1

(-2, 1)

answer
(−2, 1)

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Given that events A and B are independent with P(A)=0.24P(A)=0.24 and P(B|A)=0.85P(B∣A)=0.85, determine the value of P(B)P(B), r

NemiM [27]

Answer:

P(B) = 0.85

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

$P(A) = 0.24, P(B|A) = 0.85$

These events are independent.

This means that $P(A \cap B) = P(A)*P(B)$ . So

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(B|A) = \frac{P(A)*P(B)}{P(A)}$

$P(B|A) = P(B)$

$P(B) = 0.85$

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3 years ago

Daniela listened to a popular radio station for 1 hour. Then she made a circle graph to summarize what she had heard.

kodGreya [7K]

Answer:

1.50

Step-by-step explanation:

divide 2 add 5 divide 2 again

8 0

3 years ago

If you were given a large data sets such as the sales over the last year of Amazons top 100 customers what might you be able to

Allisa [31]

Answer:

The best thing to do with data such as sales over the last year of the top 1000 customers would be to answer questions like:

1) what products sell the most: This would help the marketing department,for example on targeting what items to push.

2) what groups of people buy what product: Again this would be targeting who buys what. We may discover that males prefer product A and females prefer product B. Or young customers prefer different products that older. This would help marketing also on targeting sales.

Step-by-step explanation:

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2 years ago

The temperature was -6° Fat 8:00 AM, over the next 6 hours, the temperature rose 11°. What is the new temperature at 2 PM?

Kazeer [188]

Answer:

5 degrees Fahrenheit

Step-by-step explanation:

-6 + 11 = 5

5 0

3 years ago

Sheila went shopping and spent $120 on a coat. She then used 2/3 of the remaining money to buy a dress. She was left with 1/5 ot

Masja [62]

Answer:

Sheila had $300 at first

Step-by-step explanation:

Given that:

Sheila spent:

for coat = $120

Let the original money be x so,

dress for = $(2/3(x - 120 ))

Now she left with = 1/5x

Now by adding all the amounts we get the original amount x:

x = 120 + (2/3(x - 120)) + 1/5x

By simplifying:

x = 120 + 2/3x - 240/3 + 1/5 x

adding like terms:

x = 120 - 80 + 2/3*5/5x + 1/5*3/3x

x = 40 + (10+3)x/15

x = 40 + 13x/15

x - 13x/15 = 40

Taking LCM

(15x - 13x)/15 = 40

2x/15 = 40

Multiply both sides by 15/2

x = 40*15/2

x = $300

so Sheila had $300 at first

i hope it will help you!

6 0

3 years ago