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3 years ago

What is the inequality?

Mathematics

1 answer:

True [87]3 years ago

6 0

Option A, x < 0

When looking at line graphs, it's relatively easy to figure out how they work.

Start by locating where the point is. In this case, the point is on 0. Now, is the point hollow? If it is, then you know that the inequality is either < or > (if it's hollow, it means that the integer isn't included). However, if the circle's filled in, you know that it's either ≥ or ≤ (if the circle's filled in, the integer is included)

Now, check to see which way the line goes. Does the number get smaller or bigger as you go across the line? If the number gets bigger, then x > 0. If the number gets smaller, then x < 0.

-T.B.

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Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits.

DENIUS [597]

Answer:

The probability that a randomly chosen plate contains the number 2222 is 0.000028 approximately.

The probability that a randomly chosen plate contains the sub-string HI is 0.002548 approximately.

Step-by-step explanation:

Consider the provided information.

Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits.

Part (A)

Let A is the ways in which plates consist of three letters followed by three digits and B is the ways in which two letters followed by four digits.

Here repetition is allow. The number of alphabets are 26 and the number of distinct digits are 10.

The numbers of ways in which three letters followed by three digits can be chosen is: $26\times 26\times 26 \times 10 \times 10 \times10$

$26^3\times 10^3=17576000$

The numbers of ways in which two letters followed by four digits can be chosen is: $26\times 26\times 10 \times 10 \times 10 \times10$

$26^2\times 10^4=6760000$

Hence, the total number of ways are 17576000 + 6760000 = 24336000

Randomly chosen plate contains the number 2222 that means the first two letter can be any alphabets but the rest of the digit should be 2222.

Thus, the total number of ways that a randomly chosen plate contains the number 2222 number are: $26^2=676$

The probability that a randomly chosen plate contains the number 2222 is:

$\frac{676}{24336000} \approx 0.000028$

Part (B)

The number of ways in which chosen plate contains the sub-string HI:

If three letters followed by three digits plate contains the sub-string HI, then the number of possible ways are:

$26\times 1\times10^3+1\times 26\times10^3$

If two letters followed by four digits plate contains the sub-string HI, then the number of possible ways are:

$1\times 10^4$

Thus, the total number of ways that a randomly chosen plate contains the sub-string HI are:

$1\times 10^4+26\times 1\times10^3+1\times 26\times10^3$

$62000$

From part (A) we know that the total number of ways to chose a number plate is 24336000.

The probability that a randomly chosen plate contains the sub-string HI is:

$\frac{62000}{24336000} \approx 0.002548$

7 0

3 years ago

Please help Person with the right answer I will mark Brainlyist

e-lub [12.9K]

Answer:

The equation in the standard form is

$y+2x=5$

Step-by-step explanation:

Given the points

(6, -7)

(4, -3)

Finding the slope between (6, -7) and (4, -3)

$\left(x_1,\:y_1\right)=\left(6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-3-\left(-7\right)}{4-6}$

$m=-2$

As the point-slope form is defined as

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -2 and the point (6, -7)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-7\right)=-2\left(x-6\right)$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

converting the equation in standard form

$y-\left(-7\right)=-2\left(x-6\right)$

$y+7=-2\left(x-6\right)$

subtract 7 from both sides

$y+7-7=-2\left(x-6\right)-7$

$y=-2x+5$

$y+2x=5$

Therefore, the equation in the standard form is

$y+2x=5$

7 0

2 years ago

What does x equal to? “?” = x Solve by using fractions and round to the nearest hundredth if necessary

Anna007 [38]

Answer:

3.5 inches

Step-by-step explanation:

We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.

Since they are similar figures, their corresponding sides are proportional.

The 4 inch side of left figure corresponds to 16 in side of right side figure.

The "?" inch side of left figure corresponds to 14 in side of right side figure.

We can replace "?" with "x" and setup two ratios and equate them:

$\frac{4}{16}=\frac{x}{14}$

Now, we can cross multiply and solve for x:

$\frac{4}{16}=\frac{x}{14}\\16x=4*14\\16x=56\\x=\frac{56}{16}\\x=3.5$

Hence,

the unknown side marked "?" is equal to 3.5 inches

6 0

2 years ago

PLEASE HELP MULTIPLE CHOICE

san4es73 [151]

Answer:

7. C

8. B

9. B

Step-by-step explanation:

7: A proper fraction is a fraction where the numerator is greater than the denominator. Choice a is a decimal, not a fraction. Choice b is a fraction, but its numerator is equal to its denominator. Choice d is also a fraction, but its denominator is greater than its numerator. Choice c is correct, because it is a fraction where its numerator is greater than its denominator.

8. A decimal fraction has denominators like 10, 100, 1000, as so on. It is a fraction.

9. A fraction is equal to the numerator divided by the denominator. When the numerator is equal to the denominator, the value of the numerator divided by the denominator is 1.

4 0

3 years ago

What do these signs mean

polet [3.4K]

:-) :-( ;-) :-P (^o^) ^o^ ^_^ :-! 8-) :-{ :-[ (-: 

or

 that is not an exercise. but still thanks for the points.

8 0

3 years ago