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3 years ago

Calculate the next term in the geometric sequence that is calculated with a ratio of 19 if the current term is 38

Mathematics

1 answer:

viktelen [127]3 years ago

5 0

Answer:

Step-by-step explanation:

The next term is going to be simply 38*19 = 722

The series is geometric which means that you multiply from one term to get to the next.

The ratio of 19, and the current term is 38. So to get to the next term, multiply 38 * 19

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A value 5 times a smaller number is 1 less than a larger number. their difference is 73

salantis [7]

Answer:

The numbers are 18 and 91

Step-by-step explanation:

You can translate the information to two equations:

a value 5 times a smaller number is 1 less than a larger number

5a = b - 1

their difference is 73

b - a = 73

Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:

b = 5a + 1

Now I can write 5a+1 in the second equation at the place where b was:

5a + 1 - a = 73

It is now an equation with only one variable, solve by simplifying

4a = 72

a = 18

Now b can be found using b = 5a + 1

b = 91

8 0

4 years ago

The ratio of the of a circle to its A}. Radius, Diameter, or Circumference to its B} Diameter, circumference, radius? approximat

nekit [7.7K]

The ratio of the circumference what is 2pir so for A. is right circumference and for B. is right diameter what is 2r because the ratio of circumference and diameter is equal 2pi*r/2r = pi so 3,14

so C/D = 2pir/2r = pi so 3,14

hope this will help you

4 0

3 years ago

It is claimed that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%. A

attashe74 [19]

Answer:

Conclusion is that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.

Step-by-step explanation:

We are given;

Population proportion; p = 60% = 0.6

Sample mean: x¯ = 315

Sample size; n = 500

Significance level = 0.09

Defining the hypothesis, we have;

Null Hypothesis; H0: p = 0.6

Alternative hypothesis; Ha: p > 0.6

z-score formula in this case is;

z = (x¯ - np)/√(np(1 - p))

Plugging in the relevant values;

z = (315 - (500 × 0.6))/√(500 × 0.6(1 - 0.6))

z = 1.72

From z-distribution table, the p-value at z = 1.72 is;

1 - P(Z ≤ z-score)

This gives:

p-value = 1 - 0.95728 = 0.04272

Thus p-value is less than the significance level of 0.09, thus we will reject the null hypothesis and conclude that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.

6 0

3 years ago

Owen used these steps to solve the equation 4x+7=1+2(2x+3). Which choice describes the meaning of his result, 7=7?

ivanzaharov [21]

Answer:

Option D. All values of x make the equation true

Step-by-step explanation:

The options of the question are

a.The result is not correct because Step 2 has an error.

b.The solution is x=7.

c.No values of x make the equation true.

d.All values of x make the equation true