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grigory [225]
2 years ago
14

The average (arithmetic mean) of 0, a, and b is 2a. What is the value of b in terms of a?

Mathematics
1 answer:
kramer2 years ago
3 0
0+a+b
a=2
b=10
0+2+10=12/3=4
4=2a
5a is the answer.


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Please help me solve question 2
sergiy2304 [10]

Answer:

solution: ( 3 , 6 )

\sf y =6

\sf x =3

Step-by-step explanation:

\sf y = \frac{2}{3} x+4

\sf 2x+3y = 24

make y the subject in equation 2:

\sf 2x+3y = 24

\sf 3y = 24-2x

\sf y = \frac{24-2x}{3}

insert this in equation 1:

\sf \frac{24-2x}{3} =\frac{2}{3} x+4

\sf \sf \frac{24-2x}{3} =\frac{2x+12}{3}

\sf (24-2x) = (2x+12)

\sf -2x-2x=12-24

\sf -4x=-12

\sf x =3

solve for y:

\sf y = \frac{24-2x}{3}

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\sf y =6

8 0
2 years ago
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In a study of brand recognition, 795 consumers knew of Amazon, and 10 did not. Use these results to estimate the probability tha
Rzqust [24]

Answer:

The probability that a randomly selected consumer will recognize Amazon is 0.988.

Step-by-step explanation:

The data given in the question is

Total number of consumers = 795 + 10 = 805

Consumers who knew of Amazon = 795

Consumers who did not know of Amazon = 10

The formula for calculating probability of an event A is:

P(A) = No. of favourable outcomes/Total no. of possible outcomes

P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers

P(Recognize Amazon) = 795/805

                                     = 0.98757

P(Recognize Amazon) ≅ 0.988

The probability that a randomly selected consumer will recognize Amazon is 0.988.

7 0
3 years ago
PLEASE HELP QUICK!!!!
CaHeK987 [17]

Answer:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = 1/5|h - 240| - 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet).

Step-by-step explanation:

8 0
2 years ago
Could someone please help me out on this question?
Genrish500 [490]
2/3* 3 is 2 so the answer is x=2
6 0
3 years ago
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree h
stepan [7]

Answer:   c. elm

Step-by-step explanation:

Given : The circumference of the oak tree= 0.539 meters

=0.539\times100=53.9\text{ cm}   [∵ 1 m = 100 cm]             (1)

The circumference of the ash tree= 0.509 yards

=0.509\times3\text{ feet}   [∵ 1 yard = 3 feet]

=0.509\times3\times 30.48\text{ cm}  [∵ 1 foot = 30.48 cm]

=46.54296\approx46.54\text{ cm}        (2)

The circumference of the elm tree = 6281.70 millimeters

=\dfrac{6281.70}{10}=628.17\text{ cm}          (3)

The circumference of the poplar tree = 0.000385 miles

=0.000385 \times5280\text{ feet}   [∵ 1 mile = 5280 feet]

=0.000385 \times5280\times30.48\text{ feet}  [∵ 1 foot = 30.48 cm]

=61.959744\approx61.96\ \text{ cm}              (4)

From (1) , (2) , (3 ) and (4) it is clear that

46.54< 53.9 < 61.96 < 628.17

Hence, the elm tree has the greatest circumference.

5 0
3 years ago
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