Figure this out as though no digits are present. You can choose 8 of the 26 letters and that's it.
26^8 [you can allow repeating letters] = 2.088 * 10^11
The total number of ways that can be chosen with letters and digits intermixed = 36^8
The probability of getting no numbers is 26^8 / 36^8 or (26/36)^8 = 0.07402
So the probability that there were be at least one digit is
1 - 0.07402 = 0.92598
Answer:
36
Step-by-step explanation:
88 - 52
=36
The decimal approximation for the trigonometric function sin 28°48' is
Given the trigonometric function is sin 28°48'
The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.
To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°
sin (28°48') = sin(28° ₊ (48 × 1/60)°)
= sin(28° ₊ (48 /60)°)
= sin(28° ₊ 4°/5)
= sin(28° ₊ 0.8°)
= sin(28.8°)
= 0.481753
Therefore sin (28°48') is 0.481753.
Learn more about Trigonometric functions here:
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Answer:
Now we can calculate the p value based on the alternative hypothesis with this probability:
The p value is very low compared to the significance level of 
then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24
Step-by-step explanation:
Information given
n=200 represent the random sample taken
X=75 represent the number of people Liberal
estimated proportion of people liberal
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true proportion of adults liberal is higher than 0.24:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value based on the alternative hypothesis with this probability:
The p value is very low compared to the significance level of then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24
Answer:
V≈ 863.27 in³
Step-by-step explanation:
