Answer:
see below
Step-by-step explanation:
The sides of the triangle that are given in relation to x are the Adjacent side (10) and the Hypotenuse (15). The mnemonic SOH CAH TOA tells you the trig function that uses sides A and H is the Cosine function.
Cos = Adjacent/Hypotenuse
cos(x) = 10/15
Answer:
$5.25
Step-by-step explanation:
3.75/15= 0.25 per oz
0.25* 21= 5.25
Answer:
p=5
Step-by-step explanation:
-25=-5p
p=-25/-5
p=5
PLEASE, PLEASE GIVE BRAINLIEST
Part a)
p = population proportion of correct guesses
Null Hypothesis: p = 0.5
Alternative Hypothesis: p > 0.5
The claim that people can tell the difference of the two drinks is in the alternative hypothesis p > 0.5 meaning that it's more than just luck at play here. Saying p = 0.5 is basically saying there's a coin toss to determine the guess.
x = 53, n = 80
phat = x/n = 53/80 = 0.6625
SE = sqrt(p*(1-p)/n) = sqrt(0.5*(1-0.5)/83) = 0.05488212999484
z = (phat-p)/(SE)
z = (0.6625-0.5)/(0.05488212999484)
z = 2.96089091322218
z = 2.96
Use a table or calculator to find that
P(Z < 2.96) = 0.9985
So,
P(Z > 2.96) = 1-P(Z < 2.96)
P(Z > 2.96) = 1-0.9985
P(Z > 2.96) = 0.0015
The p-value is approximately 0.0015. This value is less than many alpha values commonly used (such as 0.01 or 0.05) so we reject the null hyptohesis that p = 0.5 and accept that p > 0.5 is true. So the participants aren't randomly guessing. The results are significantly better than random guesses.
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Part b)
The p value 0.0015 is the probability of observing 53 or more claims out of 80 claims, under the assumption that the null hypothesis is true. This p value is very very small, so there is a small chance that the null hypothesis is correct. The smaller the p value, the more likely we reject the null. The general rule is that if the p value is smaller than the significance level alpha, we reject the null. Your textbook will state what alpha is equal to. If not, then the default is alpha = 0.05
The final temperature is the sum of the initial temperature and the change in temperature. The initial temperature is 102°F. The change in temperature is -3°F.
Operation:
Tf = Ti + ΔT = 102°F + (-3°F) = (102 - 3)°F = 99°F