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3 years ago

4. If x=4 and y=10, what is the value of the expression 3x²y + y/2 - 6x?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

4 0

Answer:

Step-by-step explanation:

3*4^2*10+10/2 - 6*4

4*4=16 5 24

3*16*10 + 5 - 24 = 19

480 - 19

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Which expression is equivalent to -6-(-2)?

const2013 [10]

The answer is -4 because two negatives is the same as adding so -6 + 2 = -4

5 0

3 years ago

Read 2 more answers

HELP ME PLEASE!! look at screenshot!! (10 pts)

ivolga24 [154]

Answer:

C) 72 square yards

Step-by-step explanation:

I cut it into two shapes. One being the rectangle on top with values 12 yd and 3 yd. the other being the square 6yd by 6yd

12•3= 36

6•6= 36

36+36= 72

72 square yards

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3 years ago

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

Whats is the answer -2/3 (-1 1/6)

grin007 [14]

Answer:

$\frac79$

Step-by-step explanation:

$\frac{-2}{3} \cdot-1\frac{1}{6}$

Let's convert the mixed number to an important fraction.

-1 1/6 = -7/6

Now multiply:

$\frac{-2}{3} \cdot \frac{-7}{6} = \\\\\\\frac{-2\cdot-7}{3\cdot6} = \\\\\\\frac{14}{18} = \frac79$

-Chetan K

7 0

2 years ago

Use the following situation for the next few questions:

Olegator [25]

Answer:

5 oil changes.

Step-by-step explanation:

60 = 12x + 15y

60 = 12x + 15(0)

60 = 12x + 0

---- = x

5 = x

4 0

2 years ago