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vichka [17]
3 years ago
11

he table represents an exponential function. What is the multiplicative rate of change of the function? 0.2 0.25 0.5 0.75

Mathematics
2 answers:
Vesna [10]3 years ago
8 0
The multiplicative rate of change of the function is C). 0.5
Mila [183]3 years ago
6 0

The Answer is C) 0.5

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Gemiola [76]

Answer: T(x) = 18x + 65

Step-by-step explanation:

T(x) = A(x) + B(x)

T(x) = 10x + 50 + 8x + 15             [Plug in the number for A(x) and B(x)]

T(x) = 10x + 8x+ 50 + 15

T(x) = 18x + 65

8 0
2 years ago
The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is
Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275

What is the probability that the sample mean would differ from the true mean by less than 1.11 months?

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

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

By the Central Limit Theorem

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

Z = \frac{120.1 - 119}{1.6275}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

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

Z = \frac{117.9 - 119}{1.6275}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

3 0
3 years ago
What is 3x - 2y= 16 x+5 y=11
inna [77]

Answer: (4,2)

Step-by-step explanation:

3 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac
Serhud [2]

Answer:

Step-by-step explanation:

A)(tanx-4)(9sin^2x-1)=0\\\\\\

9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3} or sinx=\frac{-1}{3}

OR    tanx=4\\

B)

3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}

3 0
2 years ago
24/36 - 1/4 <br> answer in simplest form
Zepler [3.9K]

Answer:

2/3

Step-by-step explanation:

7 0
3 years ago
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