All categories

2 years ago

Help please i don’t know how to do it

Mathematics

1 answer:

nekit [7.7K]2 years ago

5 0

Answer:

x + 3y = 15

Step-by-step explanation:

Line is passing through the points $(3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)$

Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3

Equation of line in point-slope form is given as:

$y-y_1 =m(x-x_1)$

Plugging the values of $x_1,\: y_1\: and \: m$ in the above equation we find:

$y-4 =-\frac{1}{3}(x-3)$

$\implies 3y-12 =-x+3$

$\implies x+ 3y =12+3$

$\implies \huge {\orange{\boxed{x+ 3y = 15}}}$

This is the required equation of line in the form $\red{\bold{ax + by = c}}$

You might be interested in

Helppppp 78 squared to the 3rd

just olya [345]

The answer would be:

6 0

3 years ago

Suppose that the rate of return on stocks is normally dis-tributed with mean of 9% and a standard deviation of 3%. If I pick fiv

alisha [4.7K]

Answer:

The probability that at least two stocks will have a return of more than 12% is 0.1810.

Step-by-step explanation:

Let X = rate of return on stocks.

The random variable X follows a Normal distribution, N (9, 3²).

Compute the probability that a stock has rate of return more than 12% as follows:

$P(X\geq 12)=1-P(X$

**Use the z table for the probability.

The probability of a stock having rate of return more than 12% is 0.1587.

Now define a random variable Y as the number of stocks that has rate of return more than 12%.

The sample size of stocks selected is, n = 5.

The random variable Y follows a Binomial distribution.

The probability of a Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, ...$

Compute the value of P (X ≥ 2) as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-{5\choose 0}(0.1587)^{0}(1-0.1587)^{5-0}-{5\choose 1}(0.1587)^{1}(1-0.1587)^{5-1}\\=1-0.4215-0.3975\\=0.1810$

Thus, the probability that at least two stocks will have a return of more than 12% is 0.1810.

6 0

3 years ago

Use special right triangle ratios to find the length of the hypotenuse.

Nady [450]

Answer:

Step-by-step explanation:

8 0

3 years ago

Help me ill give branilyest

Luda [366]

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

7 0

3 years ago

Read 2 more answers

What is the equation of the line in standard form

aivan3 [116]

your answer is d because the formula is Ax+By=C

6 0

3 years ago