Find the area of the circle shown.

The expression 11(1.022)* models the per capita gross domestic product (GDP) of the US, in thousands of

o-na [289]

Answer:

$y = a (b)^t$

Where a represent the initial amount and b the rate of growth/decay for the model and the time in years since 1950.

For this case the value of b is given by:

$b = 1.022$

And if we solve for r the rate of growth we got:

$1.022 = 1+ r$

$r = 1.022-1= 0.022$

The answer for this case would be: 1.022 represent the growth factor for the GDP since 1950 (because b >1) and each year the GDP increase by a factor of 1.022

Step-by-step explanation:

For this case we are ssuming that we can model the GDP gross domestic product (GDP) of the US, in thousands of dollars with the folllowing function:

$GDP = 11 (1.022)^t$

And we can see that this formula is governed by the exponential model formula given by:

$y = a (b)^t$

Where a represent the initial amount and b the rate of growth/decay for the model and the time in years since 1950.

For this case the value of b is given by:

$b = 1.022$

And if we solve for r the rate of growth we got:

$1.022 = 1+ r$

$r = 1.022-1= 0.022$

The answer for this case would be: 1.022 represent the growth factor for the GDP since 1950 (because b >1) and each year the GDP increase by a factor of 1.022

5 0

2 years ago

A product is marked down 15%; the sale price is $127.46. What<br> was the original price?

Ket [755]

Answer:

149.95

Step-by-step explanation:

8 0

3 years ago

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The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16

dusya [7]

Answer:

$F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2$

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

$p_v =2*P(F_{15,15}>2.2)=0.138$

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

Step-by-step explanation:

Information given

$n_1 = 16$ represent the sampe size 1

$n_2 =16$ represent the sample 2

$s^2_1 = 2.5$ represent the sample deviation for 1

$s^2_2 = 5.5$ represent the sample variance for 2

$\alpha=0.10$ represent the significance level provided

The statistic is given by:

$F=\frac{s^2_2}{s^2_1}$

Hypothesis to test

We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:

H0: $\sigma^2_1 = \sigma^2_2$

H1: $\sigma^2_1 \neq \sigma^2_2$

The statistic is given by:

$F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2$

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

$p_v =2*P(F_{15,15}>2.2)=0.138$

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

5 0

3 years ago

A bag contains hair ribbons for a spirit rally. The bag contains 4 black ribbons and 5 green ribbons. Lila selects a ribbon at r

ale4655 [162]

Answer:

Total ribbons = 3 + 12 = 15So, 3/15 = black12/15 = greenTherefore the probability Lila selects the black ribbon first is 12/15Because Lila has taken one

Step-by-step explanation:

4 0

1 year ago

You get a large ice-cream cone for $2.99 and a bottle of water for $1.07 . You pay with a 10 -dollar bill. How much change will

Igoryamba

10 - 2.99 = 7.01 and 7.01 - 1.07 = 5.94 so you will get 5.94 in change

5 0

2 years ago

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