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2 years ago

What are the next three terms of the following geometric sequence: 32, 48, 72...

Mathematics

2 answers:

lara [203]2 years ago

6 0

108

,162

Step-by-step explanation:

lidiya [134]2 years ago

6 0

Answer:

The next three terms are 108, 162 and 243

Step-by-step explanation:

32, 48, 72...

Since the sequence is a gp, let us calculate the common ratio (r)

r = T2 / T1 = T3/T2

r = 48/32

r = 3/2

The first term(a) = 32

Now we are going to calculate for the next three term i.e T4, T5, and T6

T4 = ar^3

T4 = 32 x (3/2)^3

T4 = 108

T5 = ar^4

T5 = 32 x (3/2)^4

T5 = 162

T6 = ar^5

T6 = 32 x (3/2)^5

T6 = 243

The next three terms are 108, 162 and 243

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padilas [110]

Answer:

its choice 1 can i get brainly

Step-by-step explanation:

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2 years ago

A student working on a summer internship in the economic research department of a large corporation studied the relation between

OverLord2011 [107]

Answer:

Step-by-step explanation:

Hello!

Y: sales of a product in a marketing district (million dollars)

X: population in a marketing district (million persons)

The objective is to test if there is a linear association between the sales of a product and the population of a marketing district.

Parameter; Estimated Value; 95 Percent Confidence limits

Intercept 7.43119 -1.18518 16.0476

Slope 0.755048 0.452886 1.05721

To test if there is or not an association between these two variables, you have to do a hypothesis test for the slope. If the slope is equal to zero, there is no linear association between the two variables, if the slope is different from zero, then there is a linear association between the variables.

So the student's hypotheses are:

H₀: β = 0

H₁: β ≠ 0

The data the student used to conclude is the 95%CI for the slope [0.452886;1.05721]

To be able to decide over an hypothesis test using a confidence interval there are several conditions to be met, one of them is that the confidence level and the significance level should be complementary, this means that if the interval was constructed using 1 - α= 0.95, then the hypothesis test should be conducted with a significance level of α= 0.05.

Considering that the value of the slope stated in the null hypothesis is not included in the given interval, i.e. zero is not included in the CI, then the decision is to reject the null hypothesis.

Then it can be concluded that there is a linear association between the sales of a product and the population in a marketing district.

Although in the context of the variables of study it makes no sense that the estimate of the intercept takes negative numbers, keep in mind that mathematically if possible and correct. This means that obtaining a negative estimate of the intercept does not represent a calculation error or problem for the regression model. In general, when this occurs, a footnote is made indicating has no biological meaning or sense in context.

After all, what you have done with the estimate is a mathematical assertion of the social variables.

I hope it helps!

3 0

3 years ago

A square has an area of 27.8 cm2.

Liono4ka [1.6K]

5.2 good luck and have a great day:)

8 0

2 years ago

Value of 8 power of -3

lozanna [386]

Answer:

Step-by-step explanation: $8^{-3} =\frac{1}{8^{3} } =\frac{1}{8X8X8} =\frac{1}{512}$

7 0

3 years ago

I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.

snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12 = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2 + b*x + c = 0

The two solutions are given by:

$x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}$

For our case, the solutions will be:

$n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}$

The two solutions are:

n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0

2 years ago