Answer:
2. 180-115 = 65
3. angle = 90-37 = 53
4. angle = 90 - 15 = 75
5. angle = 90-43 = 47
6. 109+71 = 180 = S
7. 19+71 = 90 = C
8. 89+1 = 90 = C
9. 34+56 = 90 = C
10. 75+75 = 150 = N
11. 16+74 = 90 = C
12. 90+90 = 180 = S
13. 65+115 = 180 = S
Hope this helps
Answer:
the greatest common factor is 5^2 * 7^3
(I think!!!)
Answer:
If a regular year, about 158,904. If a leap year, about 158,469
Step-by-step explanation:
for a regular year, 58,000,000 divided by 365 = 158,904
for a leap year, 58,000,000 divided by 366 = 158,469
Answer: 158,904
Step-by-step explanation:
58,000,000/365=158,904.10958904 which rounded is 158,904
Thanks in advance!! :)
Answer:
36
Step-by-step explanation:
Since the 3 numbers have a ratio of 2:3:7, that means it simplifies to that. So, there must be a common factor, let’s say x, for each of the numbers. Thus, the numbers are 2x, 3x, and 7x. To find the mean, we add up all of the numbers and divide by the number of numbers: (2x + 3x + 7x)/3 = 12x/3 = 4x = 48. Dividing by 4 on both sides gets x = 12. The median of the numbers is the number in the middle which is 3x. Substituting x = 12, we get: 3(12) = 36.
I hope this helps!!! :)
Answer:
1. 1 * =
(it will be equal to the sixth root of x cube)
2. No, the expression X
X
will be equal to
since the powers of numbers with the same base are added
3. B and D 1/ is the same as 'x'
as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be which will be equal to x
Answer:
a) 0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.
b) The first quartile for the average percent of fat calories is 33.31
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
(a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than thirty-seven. (Round your answer to four decimal places.)
This is the 1 subtracted by the pvalue of Z when X = 37. So
By the Central Limit Theorem
has a pvalue of 0.7881
1 - 0.7881 = 0.2119
0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.
b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories
The 1st quartile is the 25th percentile. So this is the value of X when Z has a pvalue of 0.25. So it is X when Z = -0.675. So
The first quartile for the average percent of fat calories is 33.31
Answer:
The cosine of 86º is approximately 0.06976.
Step-by-step explanation:
The third degree Taylor polynomial for the cosine function centered at is:
The value of 86º in radians is:
Then, the cosine of 86º is:
The cosine of 86º is approximately 0.06976.
We estimate the cosine of 86 degrees by first converting 86 degrees to radians (approximately 1.50098) and substituting this into the Taylor polynomial. The result is -0.08716
To calculate the cosine of 86 degrees using the Taylor polynomial, we first have to convert the degrees to radians, as the Taylor polynomial is based on the radian definition. The conversion yields approximately 1.50098 radians.
Then, we substitute this value into the Taylor polynomial. We ignore R3(x) as it represents the remainder and tends to zero as x approaches π/2. So, cos(86°) ≈ - (1.50098 - π/2) + 1/6 * (1.50098 - π/2)³. Computing this gives us an estimate of cos(86°) = -0.08716 to five decimal places.
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