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emmainna [20.7K]
3 years ago
7

Grace collects unique buttons her grandmother gave her three buttons to start her collection she quickly found enough buttons to

Triple her collection then over the next year her collection grew eight times larger if her collection continues to double each year after that how many years will it be until she has over 300 buttons in her collection
Mathematics
1 answer:
Alina [70]3 years ago
8 0
Year 1. = 9
Year 2 = 9x8=72
Year 3 = 72x2=144
Year 4= 144x2=288

Fourth year she will have more than 300
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A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home or
Gre4nikov [31]

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

H_0: \mu=1000\\\\H_a:\mu> 1000

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

df=n-1=108000-1=107999

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>254.036)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

5 0
3 years ago
Is there any remainders?¿
Ymorist [56]
Yes there’s 44 remainders :)
8 0
3 years ago
Please help me with this
zhannawk [14.2K]
I’m pretty sure it’s 82
6 0
2 years ago
Graph a line that contains the point (6, -5) and has a slope of -2/3.
Lapatulllka [165]

We know that the equation of the line is in the form y=-\frac{2}{3}x+b. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.

-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1

Hence, the equation of the line is y=-\frac{2}{3}x-1, and its graph looks something like follows.

8 0
1 year ago
3. Brenda's school is selling tickets to a spring musical. On the first day of
Natalija [7]

Answer:

The Answer is that Senior Citizen Tickets cost: $4 and Child tickets cost: $7.

Step-by-step explanation:

Let s = the cost of senior citizen tickets

Let c = the cost of child tickets

The number of tickets sold for each type added together equals the sales for each day. Equations below:

Day 1

3s + 9c = $75

Solve for s:

3s = 75 - 9c

s = 25 - 3c

Day 2

8s + 5c = $67

By substitution:

8(25 - 3c) + 5c = 67

200 - 24c + 5c = 67

-19c = -133

c = -133 / -19 = $7 cost for child tickets.

Solve for s:

s = 25 - 3c

s = 25 - 3(7)

s = 25 - 21 = $4 cost for senior citizen tickets.

Proofs:

Day 1

3s + 9c = $75

3(4) + 9(7) = 75

12 + 63 = 75

75 = 75

Day 2

8s + 5c = $67

8(4) + 5(7) = 67

32 + 35 = 67

67 = 67

4 0
3 years ago
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