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2 years ago

15

Find the common ratio of the geometric sequence 0.1, 1, 10, 100, ... Write your answer as an integer or fraction in simplest for

m.

1 answer:

aivan3 [116]2 years ago

4 0

The answer is 10 because it’s multiplies by 10

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A county fair charges an entry fee of $7 and $0.75 for each ride token. You have $15. Write an expression that represents the am

aleksley [76]

The answer is 3.50
Because 15-7 equal 8,6 times 0.75 equal 4.50, and 8-4.5 equal 3.50

7 0

2 years ago

Read 2 more answers

Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°)

OLEGan [10]

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

sin(x-30°) = cos 2x
sin(x-30°) = sin(90°-2x)
(x-30°) = (90°-2x) + 360°n
x + 2x = 90° + 30° + 360°n
3x = 120° + 360°n
x = (120° + 360°n)/3
The general solution (x) is 40° + 120°n.

g(x) = cos 2x
The period of cos x is 2π.
If the multiplying factor of x is 'n', then it decreases the period by n times.
Here, in g(x), n is 2.
The period of g(x) is equal to half the period of cos x.
The period of g(x) = 2π/2
The period of g(x) is π.

f(x) = sin(x-30°)
"Sin" is a trigonometric function which has a range from -1 to 1.

To learn more about period, visit :

brainly.com/question/12539110

#SPJ9

5 0

1 year ago

Life rating in Greece. Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sa

elena-s [515]

Answer:

a

The population parameter of interest is the true proportion of Greek who are suffering

While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%

b

The condition is met

c

The 95% confidence interval is $0.223 < p < 0.277$

d

If the confidence level is increased which will in turn reduce the level of significance but increase the critical value( $Z_{\frac{\alpha }{2} }$ ) and this will increase the margin of error( deduced from the formula for margin of error i.e $E \ \alpha \ Z_{\frac{\alpha }{2} }$ ) which will make the confidence interval wider

e

Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower

Step-by-step explanation:

From the question we are told that

The sample size is n = 1000

The population proportion is $\r p = 0.25$

Considering question a

The population parameter of interest is the true proportion of Greek who are suffering

While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%

Considering question b

The condition for constructing a confidence interval is

$n * \r p > 5\ and \ n(1 - \r p ) >5$

So

$1000 * 0.25 > 5 \ and \ 1000 * (1-0.25 ) > 5$

$250 > 5 \ and \ 750> 5$

Hence the condition is met

Considering question c

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_\frac{ \alpha }{2} * \sqrt{ \frac{\r p (1 - \r p ) }{n} }$

substituting values

$E = 1.96 * \sqrt{ \frac{ 0.25 (1 - 0.25 ) }{ 1000} }$

$E = 0.027$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

substituting values

$0.25 - 0.027 < p < 0.25 + 0.027$

substituting values

$0.223 < p < 0.277$

considering d

If the confidence level is increased which will in turn reduce the level of significance but increase the critical value( $Z_{\frac{\alpha }{2} }$ ) and this will increase the margin of error( deduced from the formula for margin of error i.e $E \ \alpha \ Z_{\frac{\alpha }{2} }$ ) which will make the confidence interval wider

considering e

Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower

5 0

3 years ago

Prof. Shanks assigns 5 students to work on a project. The group is to have no more than 1 freshman. In how many ways can the gro

polet [3.4K]

Answer:

1302

Step-by-step explanation:

10C5 + (5C1×10C4) = 1302

8 0

3 years ago

Fill in the missing reason for the last step.

jek_recluse [69]

Answer:

Division

Step-by-step explanation:

You divided both sides of the inequality by -3. Multiplying/dividing by negative numbers change the sign of the inequality, so you have ">" turned into "<".

6 0

3 years ago