Help me find the volume please!

Is this equation linear: 2x+5xy-3=0

Lina20 [59]

What is linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

2x + 5xy - 3 = 0

x (2 + 5y) -3 = 0

x ( 2 + 5y ) = 3

2 + 5y = 3 / x

5y = (3/x) - 2

y = ( (3/x) - 2) / 5

According to the graph i don't think it's a linear equation.

3 0

3 years ago

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

8 0

3 years ago

What does 9/5 + 14/12 equal

fenix001 [56]

Answer:

53/50

Step-by-step explanation:

9/15 + 14/12

Simplify.

9/15 + 7/6

Make denominators equal.

54/90 + 105/90

Add fractions since denominators are equal.

159/90

Simplify.

= 53/50

7 0

3 years ago

Help on 22 and 23 please

hram777 [196]

Answer:

22.

R= -8, 15

S= -5, 9

T= -8,9

23.

J = 4, 4

K = 4, 3

L = 1, 1

M = 1, 4

Step-by-step explanation:

rotation of -90= y, -x

so R (-7, -5) = -5,7

S (-1, -2) = -2, 1

T (-1, -5) = -5, 1

now we translate 3 left (x-3) and 8 up (y+8)

R (-5, 7) = -8, 15

S (-2, 1) = -5, 9

T (-5, 1) = -8, 9

reflection of x-axis= x, -y

J (-4, 4) = -4, -4

K (-3, 4) = -3, -4

L (-1, 1) = -1, -1

M (-4, 1) = -4, -1

Then a 180° rotation is (-y, -x)

J (-4, -4) = 4, 4

K (-3, -4) = 4, 3

L (-1, -1) = 1, 1

M (-4, -1) = 1, 4

4 0

3 years ago

What is the solution to the equation 9x - 1 = 80. X = -9 X = 1 x = 81 x=9

IgorLugansk [536]

X= -9 because I looked it up

4 0

3 years ago

Read 2 more answers