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tamaranim1 [39]

3 years ago

14

How would you convince a fellow student that the number 0.57 is a rational number?

1 answer:

Sati [7]3 years ago

8 0

Irrational numbers cannot be written in the form of a fraction in which both the numerator and denominator are whole numbers. Therefore, you can prove to your fellow student by using
57/100 as a fraction in which both the numerator and denominator are whole numbers and is equivalent to 0.57

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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =

Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0

3 years ago

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p

Nadya [2.5K]

Answer:

The probability that the average score of the 49 golfers exceeded 62 is 0.3897

Step-by-step explanation:

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5

$\mu = 61$

$\sigma = 3.5$

We are supposed to find he probability that the average score of the 49 golfers exceeded 62.

Formula : $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{62-61}{3.5}$

$Z=0.285$

Refer the z table for p value

p value = 0.6103

P(x>62)=1-P(x<62)=1-0.6103=0.3897

Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897

7 0

3 years ago

If you could please help ASAP it would be greatly appreciated!

klemol [59]

Answer:

A. 20

Step-by-step explanation:

because she has twice as many and if you have twice as many then you'll have 40 so 40+20=60

5 0

3 years ago

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Kelsie purchased 12 yards of ribbon in order to gift wrap boxes of chocolate she sells at her candy shop. Each box requires 1.5

Lina20 [59]

12 x 3 = 36 then divide by 1.5 = 24 boxes

5 0

3 years ago

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What is the value of k in y = kx, if y = 12 when x = 24?

Brrunno [24]

Answer:

k = 0.5

Step-by-step explanation:

Substitue y = 12, x = 24 into y = kx.

12 = k × 24

24k = 12

k = 12 ÷ 24

k = 0.5 (final answer)

6 0

3 years ago

Read 2 more answers