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Novay_Z [31]
3 years ago
9

Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.​

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
8 0

<u>Answer:</u>

y = 2 5 0 ( 0 . 8 9 ) ^ x

Initial value: 250

Decay

Decay rate: 11%

y = 4 0 ( 1.11 ) ^ x

Initial value: 40

Growth

Growth rate: 11%

<u>Step-by-step explanation:</u>

The function we have on the left of the table is:

y = 2 5 0 ( 0 . 8 9 ) ^ x

<u>Initial value</u> (when x = 0): y = 2 5 0 ( 0 . 8 9 ) ^ 0

y = 250 (initial value)

Growth or Decay: 0.89 < 1 so decay

Decay rate: (1 - 0.89) * 100 = 11%

Function on right side:

y = 4 0 ( 1.11 ) ^ x

<u>Initial value</u> (when x = 0): y = 4 0 ( 1 . 1 1 ) ^ 0

y = 40 (initial value)

Growth or decay: 1.11 > 1 so growth

Growth rate: (1.11 - 1) * 100 = 11%

Eddi Din [679]3 years ago
7 0

Answer:I took it in Plato

Step-by-step explanation:

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50m/s

Step-by-step explanation:

Speed = Distance / Time:

Speed = \frac{200}{4} = 50 m/s

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-3y + 7 + 3(y - 1) = 2(2y + 6)
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3 years ago
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The ratio of Luke's age to Jack's age is 3:2. If Luke is 36, how old is Jack?
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Answer:

Jack is 24

Step-by-step explanation:

Luke : jack

3            2

We know like is 36

3*12 = 36, so we need to multiply by 12

Luke : jack

3*12     2*12

36          24

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The Space Shuttle travels in orbit at 31,000 km/h. How far will it travel after 6.0<br> hours? *
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186000km in 6 hours

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In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0
3 years ago
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