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3 years ago

Put the equation in standard form with a positive x coefficient. 2y+5=-4(x+2)

Mathematics

1 answer:

umka21 [38]3 years ago

6 0

The standard form of equation is: 4x+2y = -13

Step-by-step explanation:

the standard form of a linear equation in two variables is given by:

$ax+by = c$

Given equation is:

$2y+5=-4(x+2)$

Distributing -4 into the round bracket

$2y+5 = -4x-8$

Adding 4x on both sides

$4x+2y+5 = -4x-8+4x\\4x+2y+5 = -8$

subtracting 5 from both sides

$4x+2y+5-5 = -8-5\\4x+2y = -13$

The standard form of equation is: 4x+2y = -13

Keywords: Linear equation, variables

Learn more about linear equations at:

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irga5000 [103]

Answer:

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Step-by-step explanation:

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3 years ago

Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on

FinnZ [79.3K]

The question is incomplete! Complete question along with answers and step by step explanation is provided below.

Question:

(a) Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial? (Select all that apply.)

nq > 10

np > 5

p > 0.5

np > 10

p < 0.5

nq > 5

(b) What is the probability of "12" or fewer successes for a binomial experiment with 20 trials. The probability of success on a single trial is 0.50. Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

Answer:

(a) The correct options are np > 5 and nq > 5

(b) P(x ≤ 12) = 0.8133

Step-by-step explanation:

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8 0

3 years ago

Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25

ioda

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

7 0

3 years ago

{2x + 3y = 5}{ y= 5 x -4}

Natasha_Volkova [10]

Solve the system using substitutions:

$\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}$

x has a value of 1. Use this value to find the value of y.

$\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}$

y has a value of 1.

x=1

y=1

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2 years ago

Rick bikes 24 miles in 3/4 of an hour.what is his speed in miles per hour.

jenyasd209 [6]

Answer:

32 MPH

Step-by-step explanation:

MPH= Distance/Time

24/(3/4)= 24*4/3 = 96/3 = 32 MPH

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3 years ago