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2 years ago

What is the equation of the following line?

Mathematics

1 answer:

seraphim [82]2 years ago

3 0

Answer:

c. y = -4x

Step-by-step explanation:

use slope formula

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Someone please help me with this question

mrs_skeptik [129]

Answer:

10x

Step-by-step explanation:

By definition

$(f\codt g)(x)=f(x)\cdot g(x)$

So we just need to multiply the two functions

$(f\cdot g)(x)= f(x)\cdot g(x)\\=\sqrt{2x}\cdot \sqrt{50x}\\=\sqrt{(2x)\cdot (50x)}=\sqrt{100x^2}\\=10\sqrt{x^2}\\=10x \text{ since x is non negative}$

8 0

2 years ago

Consider the following system of equations:

monitta

Answer:

Step-by-step explanation:

8 0

2 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

3 years ago

Solve 15 ≥ -3x or 2/3 x ≥ -2.

hjlf

Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]

Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3

So, (according to the first equation) all values of x must be greater than, or equal to -5.

(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.

4 0

2 years ago

Read 2 more answers

On December 13, 2007, one British pound was worth 2.04 U.S. dollars.

Alika [10]

Answer:

a) 5 pounds

b) 365 dollars

3 0

1 year ago