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3 years ago

Solve the equation for y 1/3x + y = 4

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

y = -1/3x + 4

Step-by-step explanation:

y + 1/3x = 4

y = -1/3x + 4

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What is the area of this triangle?

Delicious77 [7]

If 2 plus 2 is four... then what the hell is this?

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2 years ago

Find the length of QT if Q is between M and T, if MT=18.3 and MQ=7.8

creativ13 [48]

Answer: QT= 10.5

Step-by-step explanation:

18.3-7.8

8 0

3 years ago

100 POINTS!!!! PLEASE HELP ASAP!!! EXPLANATION WOULD BE GREATLY APPRECIATED!

Dmitrij [34]

Answer:

1) B- Substitution

2) C- Elimination

3) A- Graphing

Step-by-step explanation:

x+3y=7

5x+11y=3

x = 7 - 3y

Plug this x into the second equation and solve for y first

5x-3y=3 --> (1)

2x+7y=6 --> (2)

Since making any variable the subject would involve fractions, it's better to go for elimination

7(1) + 3(2)

would eliminate y

While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front

5 0

3 years ago

Show locations on number line to plot the points 10/3 and 17/3

UNO [17]

Answer: See the figure attached.

Step-by-step explanation:

1. To solve this exercise and locate the numbers shown in the problem on the number line, you can convert them from fractions to decimal numbers by dividing the numerator by the denominator. Therefore, you obtain:

10/3=3.33

17/3=5.66

2. Now, you can draw a number line (like the one shown in the figure attached) and locate the numbers as you can see in the image.

6 0

3 years ago

A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 student

Gwar [14]

Answer:

B) 0.283

Step-by-step explanation:

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.

25% of the students drive themselves to school.

This means that $p = 0.25$

Class of 18 students

This means that $n = 18$

What would be the probability that at least 6 students drive themselves to school?

This is

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006$

$P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034$

$P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096$

$P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17$

$P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213$

$P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282$

Closest option is B, just a small rounding difference.

4 0

3 years ago

Solve the equation for y 1/3x + y = 4​

Solve the equation for y 1/3x + y = 4