5nathanomadrid5
12.10.2019 •
Mathematics
Based on the tree diagram, what is the probability that the art project is in the middle?
one over six
two over six
three over six
four over six
07.01)amanda created a table to her represent the sample space of spinning a spinner and flipping a coin.
result of spin
result of coin toss red green yellow blue
heads red, heads green, heads yellow, heads blue, heads
tails red, tails green, tails yellow, tails blue tails
what is the probability that the result of the spin is blue and the coin lands heads up?
two over eight
three over eight
one over eight
four over eight
07.01)kelly is picking out an outfit to wear. the organized list below represents the sample space of all possible outfits.
red shirt – black pants
red shirt – white pants
pink shirt – black pants
pink shirt – white pants
based on the list, how many different-color shirts does kelly have to choose from?
1
2
4
8
which table correctly identifies the sample space of spinning the spinner and then selecting a card?
results of the spin
card color green yellow purple
purple green, purple yellow, green purple, green
green green, green yellow, yellow purple, red
results of the spin
card color green yellow purple
purple green, purple yellow, purple purple, purple
green green, green yellow, green purple, green
results of the spin
card color green yellow purple
purple green, green yellow, yellow purple, red
green green, purple yellow, green purple, green
results of the spin
card color green yellow purple
purple green, purple yellow, purple purple, purple
green green, green yellow, yellow purple, red
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Ответ:
Q1.
two over six
Q2.
one over eight
Q3.
2 - Red and Pink
Q4.
Answer : Second table /attachment/.
Card Color Green Yellow Purple
Purple Green, Purple Yellow, Purple Purple, Purple
Green Green, Green Yellow, Green Purple, Green
I don't know what happened to LaTeX. The formula of Q1 and Q2 in attachment.
Ответ:
a. B) 1.432
b. E) I and IV
Step-by-step explanation:
a. Margin of error to construct a 99% confidence interval is calculated as
where
t is the critical value expressed as t-score, which comes from t-distribution;
s is sample standard deviation
n is sample size
In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.
The way to find t-score is:
1) Define the degree of freedom, which is sample size minus 1: df = n - 1;
2) Compute alpha:
;
3) Find the critical probability:
With the df and critical probability, consulte the t-distribution table and find the score.
For the cheese filling:
df = 24
p = 0.995
t-score = 2.797
Calculating margin of error:
ME = 1.432
The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.
b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.