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Furkat [3]
3 years ago
9

The function f(x) varies inversely with x and f(x)=0.5 when x = 0.3. What is f(x) when x = 2.4? A)5.76 B)0.0625 C)0.30 D)0.15

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

B) 0.0625

Step-by-step explanation:

f(x) = k / x

f(x)=0.5 when x = 0.3

f(x) = k / x

0.5 = k / 0.3

Cross product

0.5 * 0.3 = k

k = 0.15

What is f(x) when x = 2.4?

f(x) = k / x

f(x) = 0.15 / 2.4

f(x) = 0.0625

The answer is B) 0.0625

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Answer:

Yes.

Step-by-step explanation:

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Kelly earns 15% more than her sister, and together they earn $999.75. How much does Kelly earn per week?
valina [46]

Answer:

534. 75

Step-by-step explanation:

let the income of kellys sister be x

kellys income=x+15% of x

=23x over 20

x+23x/20=999. 75

or, x=465

kellys income=23×465/20

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5 0
3 years ago
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
natita [175]

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

<u>The correct question is:</u> The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = <u>playing time of jazz CDs</u>

SO, X ~ Normal(\mu=52, \sigma^{2} =7)

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

  • 68% of the data values lie within one standard deviation points from the mean.
  • 95% of the data values lie within two standard deviation points from the mean.
  • 99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  \frac{45-52}{7}  = -1

   For 59 minutes, z-score is =  \frac{59-52}{7}  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

6 0
3 years ago
Write words to match expression for (5x2)x (3x15)
liq [111]
Five times two times three times fifteen
7 0
3 years ago
Work out the acceleration for the first 3 seconds?
Finger [1]

The acceleration is given by the slope of the line. This line passes through the points (0, 2) and (3, 5), so it has slope

\dfrac{5-2}{3-0}=1

which means the acceleration over this 3 second interval is 1 m/s^2.

5 0
3 years ago
Read 2 more answers
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