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Mrac [35]
3 years ago
8

W varies directly with the square of n and when n = 5, W = 175. Find n when W = 448 n =​

Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

Answer:

n = 8.

Step-by-step explanation:

n^2 × constant nunber = W.

5^2 × constant number = 175. So the constant number is 7.

When W = 448, n^2 = W/7, n^2 = 64.

Thus, n = 8.

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Please help me! Thank you
Maru [420]

Step-by-step explanation:

5⁰= 1

2–3 means 1/2³

1/8

=0.125

8 0
3 years ago
An objects speed can be modeled with the equation s=24(1.06)^t where s represents its speed in miles per hour and t represents t
4vir4ik [10]
s = 24(1.06)^{t} 


24 is the numerical coefficient 

1.06 is the base of the power with exponent t
7 0
3 years ago
Plz help me this was due yestrday but my mom wont let me do it
AURORKA [14]

Answer:

120

Step-by-step explanation:

z=8 w=8

7(8)=56

8(8)=64

56+64=120

8 0
3 years ago
Suppose a normally distributed set of data with 4800 observations has a mean of 195 and a standard deviation of 12. Use the 68-9
Artemon [7]

Answer:

The number of observations in the data set expected to be below a value of 231 is of 4793.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 195

Standard deviation = 12

The normal distribution is symmetric, which means that 50% of the observations are above the mean and 50% are below.

Proportion of observations below 231:

231 = 195 + 3*12

So 231 is three standard deviations above the mean.

Of the 50% of observations below the mean, all are below 231.

Of the 50% of observations above the mean, 99.7% are between the mean of 195 and three standard deviations above the mean(231).

So, the proportion of observations below 231 is:

P = 0.5*1 + 0.5*0.997 = 0.9985

Out of 4800:

0.9985*4800 = 4793

The number of observations in the data set expected to be below a value of 231 is of 4793.

4 0
2 years ago
A coin is biased to show 35% heads and 65% tails. the coin is tissed twice. what is the probability that the coin turns up heads
bekas [8.4K]
The required probability is:
P(1\ heads\ and\ 1\ tails)=2C1\times0.35\times0.65=0.455
The answer is 0.455.
6 0
3 years ago
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