All categories

3 years ago

NEED HELP Work out the value of 4y+3x when x=5 and y=-3 Thanks

Mathematics

1 answer:

wel3 years ago

4 0

Hey there!

“4y + 3x”

If x = 5 and y = -3, then substitute it into the equation

4(-3) + 3(5)

4(-3) = -12

-12 + 3(5)

3(5) = 15

-12 + 15

= 3

Answer: 3

Good luck on your assignment and enjoy your day!

~Amphitrite140:)

You might be interested in

Consider a city whose streets are laid out as a grid. Streets run north-south or east-west. A visitor is dropped off by a cab at

Ann [662]

Answer:

84 possible paths

Step-by-step explanation:

Given

$N =3$ --- 3 blocks north

$E = 6$ --- 6 blocks east

Required

Number of distinct path

To solve this question, we make use of the following formula

$^{m+n}C_n \ =\ ^{m+n}C_m$

The above formula implies that;

On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.

In this case:

$m = 3$

$n = 6$

So, we have:

$^{m + n}C_n = ^{3+6}C_6$

$^{m + n}C_n = ^9C_6$

Apply combination formula

$^{m + n}C_n = \frac{9!}{(9-6)!6!}$

$^{m + n}C_n = \frac{9!}{3!*6!}$

Expand the numerator

$^{m + n}C_n = \frac{9*8*7*6!}{3!*6!}$

$^{m + n}C_n = \frac{9*8*7}{3!}$

Expand the denominator

$^{m + n}C_n = \frac{9*8*7}{3*2*1}$

$^{m + n}C_n = \frac{504}{6}$

$^{m + n}C_n = 84$

Hence, there are 84 possible paths

$^{m + n}C_m$ will also give the same result

3 0

3 years ago

HELP ASAP! DUE AT 10:30 AM EST PLEASE SHOW YOUR WORK / HOW YOU GOT THE ANSWER STEP BY STEP

kiruha [24]

Step-by-step explanation:

$\frac{1}{3 } - \frac{2y}{9} = 19 \\ \frac{3 - 2y}{9} = \frac{171}{9} \\ 3 - 2y = 171 \\ 2y = 3 - 171 \\ 2y = - 168 \\ y = - 168 \div 2 \\ y = - 84$

3 0

3 years ago

Read 2 more answers

Based on aâ poll, among adults who regret gettingâ tattoos, 18â% say that they were too young when they got their tattoos. Assum

Sergeeva-Olga [200]

Answer:

a) 20.44% probability that none of the selected adults say that they were too young to get tattoos.

b) 35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c) 56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d) No

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they say they were too young when they got their tattoos, or they don't say that. Each adult is independent of each other. So we use the binomial probability distribution to solve this question.

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.

18% say that they were too young when they got their tattoos.

This means that $p = 0.18$

Eight adults who regret getting tattoos are randomly selected

This means that $n = 8$

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0).

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

$P(X = 0) = C_{8,0}.(0.18)^{0}.(0.82)^{8} = 0.2044$

20.44% probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

This is P(X = 1).

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

$P(X = 1) = C_{8,1}.(0.18)^{1}.(0.82)^{7} = 0.3590$

35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

Either a. or b.

20.44 + 35.90 = 56.34

56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?

Now $n = 9$

It is significantly low if it is more than 2.5 standard deviations below the mean.

The mean is $E(X) = np = 9*0.18 = 1.62$

The standard deviation is $\sqrt{V(X)} = \sqrt{n*p*(1-p)} = \sqrt{9*0.18*0.82} = 1.15$

1 > (1.62 - 2.5*1.15)

So the answer is no.

5 0

3 years ago

What equation is represented by the following visual model?

AlexFokin [52]

1/2 is equivalent to 3/6

8 0

3 years ago

What’s the answer to all of it

GaryK [48]

Hello there! You can structure these word problems correctly, by looking at the key words and tying them in to write the problem correctly. Number is represented by the variable "n". With that being said, if you do it right, here are the answers:

1. n - 18
2. n - 16
3. x + 12 = 21
4. x * 12 = 46
5. 6 + 12
6. 2 * 8
7. 2n + 6
8. 8/2n
9. 7 + x
10. x * 11 = 33

6 0

4 years ago