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Ilia_Sergeevich [38]
3 years ago
12

2x + 4y = 12

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

d

Step-by-step explanation:

x and y= 2

2*2+4*2=12

3*2+6*2=18

i think

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A runner completed a 26.2-mile marathon in 210 minutes.Estimate the unit rate, in minutes per mile. Round your answer to the nea
ELEN [110]

Answer:

The unit rate in minutes per miles be 8.02 minutes per miles .

Step-by-step explanation:

Step 1. 26.2 miles/ 210 mins  = x miles / 1min

1 * 26.2 / 210 = .12 miles / min

Step 2. 26.2. 0.13

÷210.

210. 1

(The amount miles ran in 1 minute is 0.13 miles.)

Step 3. 26.2/210= .125 miles per minute

210/26.2= 8.02 minutes per mile

Step 4. 1) Cross multiply. (26.2 = 210x)

2) Divide 210 from each side. (26.2/210 = .1247619048  ,  210x/210 = x)

3) Round to the nearest 100th. (.12)

4) X=.12

5) .12 miles ran per minute

6 0
2 years ago
g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d
professor190 [17]

Answer:

The variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable <em>X</em> is defined as, <em>X</em> = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

P (X)=\frac{4}{20}=0.20

A random sample of <em>n</em> = 3 items are selected at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 3 and <em>p </em>= 0.20.

The variance of a Binomial distribution is:

V(X)=np(1-p)

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48

Compute the standard deviation (σ (X)) as follows:

\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693

Thus, the variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48

Compute the standard deviation of (20 - X) as follows:

\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693

Thus, the variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

3 0
3 years ago
Greatest Common Factor (GCF)<br> 1. 12a - 27
Ilya [14]

Answer:

  3

Step-by-step explanation:

The factors of 12a are ...

  2×2×3×a

The factors of 27 are ...

  3×3×3

The only common factor is 3.

_____

  12a -27 = 3(4a -9)

8 0
3 years ago
Find the minimum value of the parabola y = x2 + 10.
natulia [17]

Answer:

(0,10)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please show work and solve :)
andreyandreev [35.5K]

Answer:

c = 24

Step-by-step explanation:

1/3c - 7 = 1

add 7 to both sides

1/3c = 8

now multiply 3 to both sides

c = 24

7 0
2 years ago
Read 2 more answers
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