Answer:
always,sometimes,never,always
Step-by-step explanation:
Equilateral triangles are
always
acute triangles. Yes, because acute is always 60 degrees, and equilateral is basically your average triangle, so its corners have 60 degrees.
Scalene triangles are
sometimes
acute triangles. Scalene triangles always dont have that sharp corner..they sometimes do, the sharp turn which is 60 degrees, ACUTE IS ALWAYS 60 DEGREES.
Right triangles are
never
acute triangles. A right angle cant be a acute, not 60 degrees..
Obtuse triangles are
always
isosceles triangles. Isosceles means atleast 2 of the sides look the same, i included how to recognize obtuse, right,etc
Answer:
16.34 square inches.
Step-by-step explanation:
Given:
Base of triangle, b = 3 inches
Height of triangle, h = 10.89 inches
Question asked:
What is the area of this triangle in square inches?
Round your answer to the nearest hundredths place .
Solution:
As we know,
As, we have to find the answer to the nearest hundredths place, hence the area of triangle will be 16.34 square inches.
Answer:
5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g
Step-by-step explanation:
To solve this question, we need 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.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Percentage of parts with weights exceeding 45g?
1 subtracted by the pvalue of Z when X = 45. So
We have
has a pvalue of 0.6915
1 - 0.6915 = 0.3075
If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?
This is P(X = 8) when n = 16, p = 0.3075. So
5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g