All categories

3 years ago

Which of the following points satisfies the inequality 2x - 3y <1?

Mathematics

2 answers:

yuradex [85]3 years ago

6 0

The last one in it for the answer

Marysya12 [62]3 years ago

5 0

Answer:

(-2,1)

Step-by-step explanation:

When you plug in -2 to x and 1 to y and combine like terms of what's on the left, you get -7<1, which is true.

You might be interested in

You can think about the word ‘of’ when you multiply.

Vlada [557]

Answer:

$23 \: of \: 6 \\ 23 \times 6 \\ = > \frac{ \binom{23}{ \times 6} }{138} \\ 23 \: of \: 6 = 138$

4 0

3 years ago

Read 2 more answers

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

5 0

3 years ago

The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?

Gnoma [55]

Answer:

x=1 is the solution of the equation 2x+4=10−4x

Step-by-step explanation:

The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6)

2x +4 = 10 - 4x

We need to solve for x by combining like terms

Add 4x on both sides

6x + 4= 10

Now subtract 4 on both sides

6x = 6

divide both sides by 6

x= 1

x=1 is the solution of the equation 2x+4=10−4x

5 0

3 years ago

Find the circumference of the circle. Use 22/7 for pi.

11111nata11111 [884]

Answer:

Step-by-step explanation:

circumference = 2πr = 2*(22/7)*(14/2) = 44

8 0

2 years ago

Read 2 more answers

Mr. Lin writes the expressions

Nady [450]

Answer:

Just see that the first expression has all negative, meaning the total will be a negative, but the second expression the subtraction sign and the negative sign are together, there's a rule when two negative sign's are together/next to each other, they turn into a addition sign, so it basically 8 + 20 for the second expression, so 8-(-20) has a higher result

Step-by-step explanation:

There's no work needed to be done :P

3 0

3 years ago