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3 years ago

M=-2 b=(0,4) find the equation of the line with the given slope and intercept

Mathematics

1 answer:

Korvikt [17]3 years ago

4 0

Answer:

y = -2x +4

Step-by-step explanation:

The equation of a line is written as y = mx+b. Since m= -2 and b = 4, the the equation is y = -2x + 4.

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Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagr

atroni [7]

Answer: $\frac{1}{10}$

Step-by-step explanation:

Since, The total number of student = 300

Out of which,

The number of students who are only in Maths = 120

And, The number of students who are only in Science = 50

While, the students who are not from any subject = 100

Hence, the number of student who are from both maths and science = Total student - Maths student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

That is, there are 30 students who are both from science and maths,

Thus, the probability of selecting one student who is both from maths and science = 30/300 = 1/10

3 0

3 years ago

Read 2 more answers

A lottery consists of one $2000 winner, three $500 winners, and ten $100 winners. a total of 1000 tickets are sold for $10 each.

Semenov [28]

Answer: -5.5

WOKINGS

Given that the lottery has the following number of winners:

One $2000 winner

Three $500 winners

Ten $100 winners

Also Given,

A total of 1000 tickets are sold

Each ticket costs $10

The expected winning for a person purchasing one ticket is the sum of the products of the gain/loss and their corresponding probability.

There is one $2000 winner

There are 1000 tickets

The probability of winning $2000

= 1/1000

= .001

There are three $500 winners

There are 1000 tickets

The probability of winning $500

= 3/1000

= .003

There are ten $100 winners

There are 1000 tickets

The probability of winning $100

= 10/1000

= .01

Since each ticket costs $10

Everyone who buys a ticket automatically loses $10.

Therefore, the probability of losing $10 is 1

Now to calculate the expected winning for a person purchasing one ticket

= 2000(.001) + 500(.003) + 100(.01) – 10(1)

= 2 + 1.5 + 1 – 10

= -5.5

The expected winning is -5.5. This implies that a person playing this lottery can expect to lose $5.50 for every one ticket that they purchase.

7 0

3 years ago

Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 cent

beks73 [17]

Answer:

V= 2 times 4 times 5

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=0%20%3D%20%20%20-%204.9t%20%7B%7D%5E%7B2%7D%20%20%2B%2027t%20%2B%202.4" id="TexFormula1" title

marta [7]

$0 = - 4.9t {}^{2} + 27t + 2.4$
Convert decimals to fractions

$0 = - \frac{49}{10} t {}^{2} + 27t + \frac{12}{5}$
Multiply both sides by 10

$0 = - 49t {}^{2} + 270t + 24$
Move expression to the left.

$0 + 49t {}^{2} - 270t - 24 = 0$
Remove zero.

$49t {}^{2} - 270t - 24 = 0$ Solve the quadratic equation.

$t = \frac{ - ( - 270) + - \sqrt{( - 270) {}^{2} - 4 \times 49 \times ( - 24) } }{2 \times 49}$
Remove parenthesis and calculate.

$t = \frac{270 + - \sqrt{72900 + 4704} }{98}$
Add the numbers

$t = \frac{270 + - 77604}{98}$
Separate the solutions

$t = \frac{270 + \sqrt{77604} }{98} \\ t = \frac{270 - \sqrt{77604} }{98}$
The final solution are
$t1 = \frac{270 - \sqrt{77604} }{98} , t2 = \frac{270 + \sqrt{77604} }{98}$

7 0

3 years ago

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

Mandarinka [93]

For this case we have that by definition, the volume of a sphere is given by:

$V = \frac {4} {3} \pi * r ^ 3$