Answer:
Zb=62
Step-by-step explanation:
Two angles are complementary when they add up to 90 degrees.
90-28=62
The two whole numbers are 5 and 6 ⇒ 3rd answer
Step-by-step explanation:
To prove that a square root number lies between which two consecutive integers do that
- Find a square number less than the number under the root
- Find a square number greater than the number under the root
- Find the square root of the square numbers, they will be the two integers that the root lies between them
∵ The number is
- Find a square number less than 29
∵ 25 is a square number
∵ 25 is less than 29
- Find a square number greater than 29
∵ 36 is a square number
∵ 36 is greater than 29
∴ 25 < 29 < 36
- Take √ for each number
∴
<
<
∵
= 5
∵
= 6
∴ 5 <
< 6
The two whole numbers are 5 and 6
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You can learn more about the numbers in brainly.com/question/9621364
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Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:

Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:


Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:

By the Central Limit Theorem:


Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
22.07 ft & 9.32 ft
Step-by-step explanation:
by sines rule :
20/sin 65° = r/sin 90° = y/sin 25°
r = 20×sin 90°/sin 65° = 20/0.9063
= 22.07 ft
y = 20×sin 25°/sin 65° =
20× 0.4226/0.9063
= 9.32 ft