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3 years ago

Which point is a solution to the linear inequality y < -1/2x + 2?

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

8 0

The answer is D on Ed

just olya [345]3 years ago

4 0

The answer is (3,-2)

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For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4

n200080 [17]

Answer:

there are 425 numbers of three digits whose the sum of the digits is even.

Step-by-step explanation:

Option 1:

It is necessary to accomplish one of the next conditions:

(1) all of the digits are even.

(2) exactly 2 of the digits are odd

Then, for the first condition:

4x5x5 = 100 -> this is because the first digit can not be 0.

for the second condition:

(3C1)*5*5*5-1*5*5 =3*125-25=350

where 3C1 is a combination. The 3C1 determines which of the three digits is even, and it is necessary to subtract the numbers under 100 with the other 2 digits odd.

So, there are 450 numbers of three digits whose the sum of the digits is even.

Option 2:

there are 900 three digit number and 5*5*5 =125 has 3 odd numbers and 5*5*5+4*5*5+4*5*5=325 has 1 odd number, so there are 450 numbers of three digits whose the sum of the digitis is odd, so 900-450 whose the sum of the digits is even.

4 0

3 years ago

A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d

Shalnov [3]

Answer:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

$P(z>-1)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.4,0.4)$

Where $\mu=4.4$ and $\sigma=0.4$

We are interested on this probability

$P(X>4)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

$P(z>-1)=1-P(z$

3 0

3 years ago

How to compare 2 5/9 and 21/3

max2010maxim [7]

Answer:

2 5/9 is less than 21/3; 2 5/9 < 21/3

Step-by-step explanation:

Step 1: Convert 2 5/9 into an improper fraction

2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9

Step 2: Convert 21/3 so the denominator is 9

21*3 / 3*3 = 63/9

Step 3: Compare

23/9 < 63/9

Answer: 2 5/9 is less than 21/3; 2 5/9 < 21/3

5 0

3 years ago

Read 2 more answers

-5x+y=6 -3x+6y=-12 Solving systems of equations by substitution

Yakvenalex [24]

if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals

as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12

then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get $x=\frac{-48}{27}$ or x≈1.8

4 0

3 years ago

What is y=-x+6?........

SIZIF [17.4K]

Answer:

Slope = -2/2 = -1

x-intercept = 6/1 = 6

y-intercept = 6/1 = 6

I wasn't sure what you really were asking for, so I did slope, x, and y.

8 0

3 years ago