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VikaD
7 days ago
15

John had $165 in savings. He spent 20% of his savings on a new video game.

Mathematics
2 answers:
zzz [9K]7 days ago
8 0

Response: John expended $33.00


Explanation: Simply multiply:    165 * 0.20= 33

AnnZ [9K]7 days ago
4 0
He used $33 since 165 multiplied by 0.2 equals 33.
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Frank has X stamps and Chris has 8 more than 7 times the number of stamps Frank has. How many stamps do Frank and Chris have in
zzz [9080]
I think the right answer is D. 8x+8;
This is because Frank possesses X stamps while Chris has 8 plus 7 times the number of stamps Frank holds, making the total 8 + 7x (which is 7 times Frank's amount), so when you add Frank's stamps (x) to 8 + 7x, it results in 8 + 8x.

I hope this was helpful!
5 0
11 days ago
A certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of awriting
tester [8842]

Answer:

a) Null hypothesis:\mu \geq 10

Alternative hypothesis:\mu < 10

b) p_v =P(t_{17}

Given that the p-value is lower than the significance threshold in this situation, we have sufficient grounds to reject the null hypothesis.

c) p_v =P(t_{17}

In this case, since the p-value exceeds the significance threshold, we have adequate evidence to FAIL to reject the null hypothesis.

d) p_v =P(t_{17}

Here again, with the p-value being less than the significance level, we can reject the null hypothesis.

Step-by-step explanation:

1) Provided data and references

\bar X represents the average of the samples

s denotes the standard deviation of the samples

n=18 indicates the number of samples

\mu_o =10 is the value we are examining

\alpha defines the significance level for the test.

t represents the specific statistic of interest

p_v indicates the p-value relevant to the test (the variable of concern)

Define the null and alternative hypotheses.

To assess if the true mean is at least 10 hours, we must set up a hypothesis:

Part a

Null hypothesis:\mu \geq 10

Alternative hypothesis:\mu < 10

If we consider the sample size being less than 30 and the population deviation unknown, it’s more appropriate to use a t-test to compare the actual mean with the reference value, calculated as:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)

Part b

In this scenario t=-2.3, \alpha=0.05

Initially, we need to calculate the degrees of freedom df=n-1=18-1=17

Since this is a left-tailed test, the p-value is determined by:

p_v =P(t_{17}

In this instance, with the p-value being less than the significance level, we have sufficient evidence to reject the null hypothesis.

Part c

For this situation t=-1.8, \alpha=0.01

We need to find the degrees of freedom df=n-1=18-1=17

For the left-tailed test, the p-value is given by:

p_v =P(t_{17}

In this case, since the p-value is above the significance level, we have enough grounds to FAIL to reject the null hypothesis.

Part d

For this case t=-3.6, \alpha=0.05

Firstly, we find the degrees of freedom df=n-1=18-1=17

Since we are conducting a left-tailed test, the p-value is calculated as:

p_v =P(t_{17}

Here, with the p-value being lower than the significance threshold, we can reject the null hypothesis.

5 0
29 days ago
The following table shows the time in various cities when it is 4:00 a.m. in New York.
AnnZ [9099]
It's from Dublin to San Juan


The departure is scheduled for Friday at 1:30 PM (Dublin Time) ==> Time in San Juan is 9:30 (-4 Hours)

Travel duration is 16 Hrs (Dublin arrives on Saturday at 6:30PM) and reaching San Juan on Saturday at 9:30 +16;30 means it's 2 AM (26-24)
8 0
7 days ago
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8 0
1 month ago
Which sentences are punctuated correctly? Select 2 options.
AnnZ [9099]

Answer:

Step-by-step explanation:

Andrew's preferred vegetables include cucumbers, green beans, and red peppers.

Samantha had a wide range of musical tastes; such as jazz, classical, hip hop, country, and heavy metal.

Please correct me if I'm mistaken.

7 0
17 days ago
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