Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Mathematics

1 answer:

Inga [223]3 years ago

6 0

Answer:

y = -2*0.5ˣ

Step-by-step explanation:

general formula for exponential function: y = abˣ

for point (0 , -2): -2 = a*b⁰ = a * 1 = a

a = -2

for point (-1 , -4): -4 = (-2) * b⁻¹ b⁻¹ = (-4) / (-2) = 2

b = 1/2

exponential function: y = -2*0.5ˣ

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In the journal Knowledge Quest (January/February 2002), education professors at the University of Southern California investigat

Greeley [361]

Answer:

a,b) x represents the general attitude of these students toward recreational reading.

c) The 10th percentile of sample means is 102.51.

d) $P(x < 100) = 0.01390$

Step-by-step explanation:

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

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

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 This p-value is the probability that the value of the measure is greater than X.

In this case, we have that:

The mean score for this population of children was 106 points, with a standard deviation of 16.4 points, so $\mu = 106, \sigma = 16.4$ .

a,b) What is x?

x represent the mean recreational reading attitude score for the sample. So x represents the general attitude of these students toward recreational reading.

c) What sample mean would be the cutoff for the bottom 10% of sample means. (You are being asked for the 10th percentile of sample means.)

This is the value of X when Z has a pvalue of 0.10.

Looking at the Z table, that is $Z = -1.28$ .