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kicyunya [14]
3 years ago
15

What is the value of x? pls help im so confused

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

In the proportional theory,

28 units is the total measurement that includes 8 units.

So, 10 + 3x - 5 is the total measurement that includes 10 units proportionally.

This means,

28 = 10 + 3x - 5

Now solve for x,

28 = 10 + 3x - 5

28 - 10 = 3x - 5

18 + 5 = 3x

23 = 3x

23 / 3 = x

So x = 23/3 or 7.6666....

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4 years ago
If the distribution is really (5.43,0.54)
defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

\mu = 5.43, \sigma = 0.54

What proportion of observations would be less than 5.79?

This is the pvalue of Z when X = 5.79. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.79 - 5.43}{0.54}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

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Step-by-step explanation:

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3 years ago
What is the formula for the nth term of the given sequence 100, 20, 4, …
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Answer:

a_n=100 \left(\dfrac15\right)^{n-1}

Step-by-step explanation:

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  • a₂ = 20
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\implies a_2=100 \cdot r=20

\implies a_3=100 \cdot r^2=4

Common ratio:

r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15

Therefore:

a_n=100 \left(\dfrac15\right)^{n-1}

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2 years ago
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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

M = 0.65146579

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