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4 years ago

When to use brackets and parentheses polynomial inequalities?

1 answer:

6 0

Given your answer is say x<3, "x is less than 3", that means that 3 is not included in your solution set. The interval (-∞, 3); note the use of parenthesis. If the interval is [-3,6), this means that in your solution 3 is included but not 6. That is to say, 3≤x<6. [3,6]; both are included. (3,6) none is included.

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Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The

miskamm [114]

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is $p=\frac{1}{4}$

$\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}$

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

$\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334$

7 0

3 years ago

Find the solution of the system of equations. x-y=-3 -8x+y=45

mezya [45]

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

$\frac{2y}{2} = \frac{56}{2}$

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

5 0

2 years ago

Write the equation of a line, in Point slope form that passes through (5,6) and has a slope of -3

Mademuasel [1]

Answer:

y = -3x + 21

Step-by-step explanation:

(5,6)

y = mx + b

6 = -3 × 5 + b

solving for b

b = 6 - (-3)(5)

b = 21

Therefore,

y = -3x + 21

7 0

3 years ago

Which equation is represented by Ms. Wilson’s model

SVEN [57.7K]

D Q

TC = D x P + ___ x Cp + ____ x Cs

Q 2

TC: Total Cost

P: Price per unit

Q: Quantity

Cp: Cost of issuance of a purchase order

Cs: storage cost per unit

7 0

3 years ago

What is 1.2 liters - 200 milliliters

jonny [76]

Well if you want to know 1.2 liters in milliliters the answer is 1200 milliliters and if you want to know 2000 milliliters in liters than the answer is 2 liters.

8 0

4 years ago