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3 years ago

PLEASE HELP I REALLY NEED IT

1 answer:

3 0

The explicit formula would be $g_n=5\times3^{n-1}$

The sequence is geometric, since we are multiplying by a constant each time to get the next term. The common ratio, r, is 3. The first term, g₁, is 5. An explicit formula for a geometric sequence is given by

$g_n=g_1 \times r^{n-1}$

Using our information, we have $g_n=5 \times 3^{n-1}$

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Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on pr

Fed [463]

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

$n_1 = 25$

$n_2 = 21$

$s_1 = 0.98$

$s_2 = 1.02$

$\alpha = 0.02$

Required

Determine if here is enough evidence

First, we need to state the hypotheses

$H_o: \sigma_1^2 = \sigma_2^2$

$H_1: \sigma_1^2 \ne \sigma_2^2$

Next, calculate the test statistic using:

$F = \frac{s_1^2}{s_2^2}$

$F = \frac{0.98^2}{1.02^2}$

$F = 0.923$

Calculate the rejection region;

But first, calculate the degrees of freedom

$df_1 =n_1 - 1$

$df_1 =25 - 1$

$df_1 =24$

$df_2 = n_2 -1$

$df_2 = 21 - 1$

$df_2 = 20$

Using the F Distribution: table

$c = \frac{\alpha}{2}$

$c = \frac{0.02}{2}$

$c = 0.01$

At 0.01 level (check row 20 and column 24), the critical value is:

$f_{0.01,24,20} = 2.86$ --- the upper bound

At 0.01 level (check row 24 and column 20), the critical value is:

$f_{0.01,20,24} = 2.74$

Calculate the inverse F distribution.

$f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365$ ---- the lower bound

The rejection region is then represented as:

$0.365 < Test\ Statistic < 2.86$

If the test statistic falls within this region, then the null hypothesis is rejected

$F = 0.923$ --- Test Statistic

$0.365 < 0.923 < 2.86$

The above inequality is true; so, the null hypothesis is rejected.

This implies that, there is no sufficient evidence.

7 0

2 years ago

If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s

Oxana [17]

First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
$23miles + 110miles = 133miles$
so, we use the midpoint formula to find our position
$\frac{distance}{ 2}$
and get 66.5 miles from both Sacramento and Oakland.

Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
$|our \: position - distance \: of \: sign|$

so we get
$|66.5miles - 23miles| = 43.5miles$
to double check, use the sign's distance from Oakland.
$|66.5miles - 110miles| = 43.5miles$
so, we are 43.5 miles from the sign!

hope this helps

7 0

3 years ago

20% more than 80 is ?

Diano4ka-milaya [45]

20% more than 80:

80 + 20% of 80

80 + 20/100 × 80

80 + 16

= 96

7 0

3 years ago

In the fraction 15⁄7, which of the following is 15? Numerator Divisor Denominator Factor

Colt1911 [192]

Answer is Numerator.

In a fraction, the denominator is on the bottom and the numerator is on top. A factor is a number, when multiplied with another number, that equals the final product. For example: 1, 2, 3, 6, 9, 18 are all factors of 18. A divisor is something you are dividing by in a division problem.

3 0

3 years ago

A test has 20 question if peter gets 80% correct, how many question did peter miss

AlexFokin [52]

Answer:

16 questions right = 80%

So Peter missed 4 questions.

Hope this helps.

:-)

6 0

3 years ago

Read 2 more answers