All categories

3 years ago

graph the linear equation. find three points that solve the equation, then plot on the graph. -x-3y=-6

Mathematics

1 answer:

jekas [21]3 years ago

8 0

Answer:

(6,3)

Step-by-step explanation:

when simplifying this its important to remember change doubles same signs add and opposites subtract, so instead of having a negative like -6,3 it will be (6,3) for the final answer

You might be interested in

1) Which statement is false?A No integers are irrational numbersB All whole numbers are integersC No real numbers are rational n

scoundrel [369]

Answer:

b o\is incorrect

Step-by-step explanation:

b is werpngs

7 0

3 years ago

The cafeteria at Midtown Middle school surveyed 575 students about their favorite food. Determine the number of students that Re

Helen [10]

You would put this into a fraction
so for the salad
$\frac{20}{100} = \frac{?}{575}$
and for the fruit
$\frac{24}{100} = \frac{?}{575}$
cross multiply and
1. salad: 20% = 115 students
2. Fruit: 24% = 138 students

8 0

3 years ago

Find the sum and express it in simplest form (8a^2 + 6a + 5) + (-3a^2 - 2a)

PIT_PIT [208]

What we are going to do with this problem is combine all the like terms.
so to begin, we notice that there are two numbers with a^2 involved, and two numbers with an a.

thus:
8 $a^{2}$ +(-3 $a^{2}$ is going to equal 5 $a^{2}$ because adding a negative is just like subtracting.

then we move on to (6a)-(2a) giving us 4a
5 is the only term that stays the same because there are no other similar terms.
last but not least, put the equation together!

answer: 5 $a^{2}$ +4a+5

5 0

3 years ago

Read 2 more answers

If X denotes the number of heads in n tosses of a coin, what is the standard deviation of the random variable X? Does this stand

vfiekz [6]

Answer:

$\sigma=\sqrt{np(1-p)}=\sqrt{n*0.5(1-0.5)}=\frac{\sqrt{n}}{2}$

As we can see the deviation is proportional to the value of n and if n increase then the deviation increases too. So then the deviation would be larger when n gets larger.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

We can define the following random variable X ="Number of heads in n tosses of a coin".

We assume that the coin is fair and then $P(H)= 0.5$ for any trial so then we can model X with the following distribution:

$X \sim Bin (n, p=0.5)$

For this distribution the mean and variance are given by:

$E(X)=np=n*0.5=\frac{n}{2}$

$Var(X)= np(1-p) = n*0.5*(1-0.5) = 0.25 n = \frac{n}{4}$

And the deviation would be just the square root of the variance and we got:

$\sigma=\sqrt{np(1-p)}=\sqrt{n*0.5(1-0.5)}=\frac{\sqrt{n}}{2}$

Does this standard deviation get larger or smaller when n gets larger?

As we can see the deviation is proportional to the value of n and if n increase then the deviation increases too. So then the deviation would be larger when n gets larger.

3 0

3 years ago

An apartment building caretaker puts 0,75 L of chlorine into the swimming pool every day. If the chlorine is sold in containers

kaheart [24]

the question says,

the apartment caretaker puts 0.75L of chlorine into the swimming pool daily

the chlorine is sold in containers that holds 4L

so we should get the numbers of containers he should order in 120days.

first of all, lets get the total chlorine needed

total chlorine needed = the chlorine he pours daily X the number of days

total chlorine needed = 0.75 X 120 = 90L

to get the number of containers he should order

= 90/4

= 22.5

therefore the number of containers the he sholuld order in 120 days is 22 and half container.

3 0

2 years ago