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3 years ago

What is 27.35 expressed as a mixed number?

1 answer:

4 0

Firstly, you know you have 27 (35/100)

Make this an improper fraction. 2735/100

Simplify this as much as you can. 547/20

Find how many times 20 will go into 540, and use the 7/20 as the fraction part of your mixed number.

Now, make as many whole as you can and states your remaining. 27 7/20

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Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

ryzh [129]

Answer:

x= 3 + $\sqrt{23}$ , 3 - $\sqrt{23}$

Step-by-step explanation:

You use the quadratic formula to get x= $\frac{18+6\sqrt{23} }{6} ,\frac{18-6\sqrt{23} }{6}$

Then you simplify and get the answers x= 3 + $\sqrt{23}$ , 3 - $\sqrt{23}$

6 0

3 years ago

Read 2 more answers

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x^2 + 12x + 5?

ahrayia [7]

Well it will be a simple as grid algebra
3(2+12)+12x5

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

Help please thanks .

serious [3.7K]

Answer:

Step-by-step explanation:

3 0

3 years ago

What is the side length, x, of this cube? ____ miles<br><br><br> Please help, I will mark brainlist.

Arte-miy333 [17]

X=30
explanation:
if we are given that the volume is 27,000, we know that x^3 should equal 27,000
so take the cube root of 27,000 and that is 30

8 0

3 years ago