When rounding 4.237 to the nearest meter, we round down to the nearest whole meter.
The rounded value is 4 meters.
Here, we have,
To round 4.237 to the nearest meter,
we need to consider the digit immediately to the right of the meter place value, which is the tenth place.
If the digit in the tenth place is 5 or greater, we round up.
If it is less than 5, we round down.
In this case, the digit in the tenth place is 3, which is less than 5.
Therefore, when rounding 4.237 to the nearest meter, we round down to the nearest whole meter.
The rounded value is 4 meters.
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members is electing a new president. Charmaine received
51
votes. What percentage of the club members voted for Charmaine?
The greatest common factor of numbers 15 and 30 would be 15.
Given that,
The two numbers are 15 and 30.
Used the concept of the greatest common factor that states that,
The GCF is defined as the largest number that is a factor of two or more numbers.
For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12.
Here, The two numbers are 15 and 30.
Now, the factors of 15 and 30 are,
Factors of 15: 1, 3, 5, 15
Factors of 30: 1, 2, 3, 5, 6, 10, 15
Clearly, the largest factor that is shared by 15 and 30 is 15.
Therefore, GCF (15, 30) = 15
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Given:
Sample no. of events,
Sample size,
Now,
The sample proportion will be:
→
The significance level will be:
Form the z-table,
The critical value,
Now,
The standard error will be:
=
=
and,
The margin of error,
→
Now,
The lower limit will be:
=
=
The upper limit will be:
=
=
hence,
The CI is "(0.6744, 0.748)". Thus the response above is right.
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Answer:
CI = (0.674, 0.748)
Step-by-step explanation:
The confidence interval of a proportion is:
CI = p ± SE × CV,
where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).
We already know the proportion:
p = 293/412
p = 0.711
But we need to find the standard error and the critical value.
The standard error is:
SE = √(p (1 − p) / n)
SE = √(0.711 × (1 − 0.711) / 412)
SE = 0.0223
To find the critical value, we must first find the alpha level and the degrees of freedom.
The alpha level for a 90% confidence interval is:
α = (1 − 0.90) / 2 = 0.05
The degrees of freedom is one less than the sample size:
df = 412 − 1 = 411
Since df > 30, we can approximate this with a normal distribution.
If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645. That's our critical value. CV = 1.645.
Now we can find the confidence interval:
CI = 0.711 ± 0.0223 * 1.645
CI = 0.711 ± 0.0367
CI = (0.674, 0.748)
So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.
Answer:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Step-by-step explanation:
Put them all as decimals and THEN put them in order. Hope this helps :)
When ordering events from least to most likely, you rank them based on their probabilities which typically range from 0 (impossible event) to 1 (certain event). The event with the smallest value is considered the least likely and the event with the largest value is considered the most likely.
Without specific events provided in your question, I'm unable to put them in order from least to most likely. However, to help you understand how to do this yourself: probabilities of events typically range from 0 (impossible event) to 1 (certain event). Let's use an example. Say we have the following events and their probabilities: A: It will rain tomorrow (0.9), B: A tossed coin will land heads (0.5), C: Drawing a red card from a deck (0.5), and D: Winning the lottery (0.0000001).
You arrange these from least to most likely as follows: D (least likely), B and C (equally likely), and A (most likely).
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