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3 years ago

What is 6y-19=3-6y ?

Mathematics

1 answer:

Basile [38]3 years ago

5 0

Answer:

Step-by-step explanation:

6y - 19 = 3 - 6y....add 19 to both sides

6y = 3 + 19 - 6y ...add 6y yo both sides

6y + 6y = 19 + 3....combine like terms

12y = 22...divide both sides by 12

y = 22/12 which reduces to 11/6 or 1 5/6 <==

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PLEASE HELP

Finger [1]

The range of the function is $\{-19,-4,16\}$

Explanation:

The function is $f(n)=5n-4$

The domain of the function is $\{-3,0,4\}$

We need to find the range of the function.

The range can be determined by substituting the values of domain in the function.

Thus, the range of the function when the domain is -3 is given by

$f(-3)=5(-3)-4$

$=-15-4$

$=-19$

Thus, the range is -19 when $n=-3$

The range of the function when the domain is 0 is given by

$f(0)=5(0)-4$

$=0-4$

$=-4$

Thus, the range is -4 when $n=0$

The range of the function when the domain is 4 is given by

$f(4)=5(4)-4$

$=20-4$

$=16$

Thus, the range is 16 when $n=4$

Thus, the range of the function is $\{-19,-4,16\}$ when their corresponding domain is $\{-3,0,4\}$

Arranging the range in order from least to greatest is given by

$\{-19,-4,16\}$

Hence, the range of the function is $\{-19,-4,16\}$

6 0

3 years ago

The equation for free fall at the surface of some planet (s in meters, t in seconds) is s=2.86t^2. How long does it take a rock

kotykmax [81]

The time taken by the rock will be 8.77 seconds.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²

The time will be calculated by using the speed formula.

Speed = Distance \ Time

25.1 = 2.86t² \ t

t = 25.1 / 2.86

t = 8.77 seconds

Therefore the time taken by the rock will be 8.77 seconds.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

6 0

2 years ago

During an experiment, Mrs. Melsoner uses an analytical scale to measure the mass of a substance. The analytical scale says she h

stich3 [128]

Answer:

hii there

The correct answer is ( D )

hope it helps you

have a nice day

7 0

3 years ago

Complete the ratio and find the answer

elena55 [62]

There are 12 inches in one foot. 120 x 12 = 1,440 inches. The correct ratio to be placed is the 5th one (aka 12 inches over 1 foot).

8 0

3 years ago

Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X deno

Roman55 [17]

Answer:

a) P(X>np+3 $\sqrt{np(1-p)}$ =0.017

b) P(x>1)=0.190

c) P(Y>1)=0.651

Step-by-step explanation:

This a binomial experiment where success is denoted by parts that need rework.

X ∼ B(n, p); n = 20; p = 0.01

The expected value of X is: E(X) = np =20×0.01= 0.2

The variance is: Var(X) = np(1 − p) = 0.2 × 0.99 = 0.198,

The standard deviation SD(X)= $\sqrt{0.198}$ ≈ 0.445

a) P(X>np+3 $\sqrt{np(1-p)}$ =P(X>0.2+3×0.445)=P(X>1.535)=P(X≥2)

Probability function is given by:

$\frac{n!}{x!(n-x)!} *p^x*(1-p)^{(n-x)}$

P(X≥2)=1-P(X<2)=1-P(X=1)-P(X=0)= 1 - $\frac{20!}{1!(20-1)!} *(0.01)^{1}*(1-0.01)^{(20-1)}$ - $\frac{20!}{0!(20-0)!} *(0.01)^{0}*(1-0.01)^{(20-0)}$

P(X≥2)=1-0.165-0.818=0.017

b) p=0.04

P(x>1)=P(x≥2)= 1 - P(x=1) - P(x=0)= 1 - $\frac{20!}{0!(20-1)!} *(0.04)^{1}*(1-0.04)^{(20-1)}$ - $\frac{20!}{0!(20-0)!} *(0.04)^{0}*(1-0.04)^{(20-0)}$

P(x>1)= 1 - 0.368 - 0.442=0.190

c) In this case we consider p=0.19 (Probability that X exceeds 1)

In this experiment Y is the number of hours and n= 5 hours.

Then, we check the probability in each hour:

P(Y>1)=1- P(Y=0)

P(Y=0)= $\frac{5!}{0!(5-0)!} *(0.19)^{0}*(1-0.19)^{(5-0)}$ =0.349

P(Y>1)=1-0.349=0.651

3 0

3 years ago