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3 years ago

What is the equation of the line that passes through the point (2,7) and has a slope of -4

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

D. y - 7 = -4 (x - 2)

Step-by-step explanation:

y - 7 = -4 (x - 2)

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What is the fraction and decimal of25%

kolezko [41]

Answer:

Fraction 25/100; decimal 0.25

4 0

3 years ago

Read 2 more answers

In a math class, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. What is the probability that in a randomly

SashulF [63]

Answer:

$P(2FG|3FB) = \frac{605}{7917}$

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.To calculate combinations the below formula is used:

$nCr = \frac{n!}{r!(n-r)!}$

where $n$ represents the total number of items and $r$ represent the number of items being chosen at a time. The '!' represents factorial function which is the product of all integers equal to and less than the given integer. This can be calculated manually using the formula or by using the nCr function on a scientific calculator.

Thus, the number of ways to select 2 freshmen girls (2FG) and 3 freshmen boys (3FB) can be determined. The number of ways to select 5 students (5S) can be determined in the same way.

$2FG = 12C2 = \frac{12!}{2!(12-2)!} = \frac{12!}{2!(10)!} = 66$

$3FB = 11C3 = \frac{11!}{3!(11-3)!} = \frac{11!}{3!(8)!} = 165$

$5S = 30C5 = \frac{30!}{5!(30-5)!} = \frac{30!}{5!(25)!} = 142506$

The probability of selecting 2 freshmen girls (2FG) and 3 freshmen boys (3FB) when selecting 5 students out of 30 is given as below:

$P(2FG|3FB) = \frac{2FG*3FB}{5S} = \frac{66*165}{142506} = \frac{605}{7917}$

4 0

3 years ago

Write an algebraic expression to model the given context.Give your answer in simplest form. (please explain)A.) The original pri

babymother [125]

Answer:

The algebraic expression is (P-0.15p) = 0.85p

Step-by-step explanation:

Here, we want to write an algebraic expression to model the situation at hand;

Original price p of an item less a 15% discount

What this mean is that we want to remove a 15% discount from the original price P

That term ‘less’ means we are subtracting

so 15% of p would be;

15/100 * p = 15p/100 = 0.15p

So 15% of P less P is (P-0.15P) = 0.85P

3 0

3 years ago

If g(x)=1.5x-3 ,determined if f(x) > g(x) when x = 4

MatroZZZ [7]

Answer:

Step-by-step explanation:

hope this helps

5 0

3 years ago

Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio

katrin2010 [14]

Answer: a) 79.10 % b) 7% c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ Where μ mean of population σ standard deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So: Z = ( 10 - 9 ) ÷ 1.2 ⇒ Z = 1/1.2 ⇒ Z = 0.83 it has to be below this value

From Z tables we get P [ Z ≤ 0.82 ] = 0.7910 0r 79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷ σ ] ⇒ Z = ( 12 -10 ) ÷ 1.2 = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007 or 7 %

Finally between the two points above mentioned ( 10 ≤ Z ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10 Z ⇒( 10-9 ) ÷ 1.2 Z = 0.7967

Z ≥ 12 Z ⇒ ( 12 - 9 ) ÷ 1.2 Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985 ⇒ or 19.85 %

The attached help in the understanding of the solution

5 0

3 years ago