The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.
Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.
So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ
That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)
Answer: 264.22 to 312.98
Answer:
The factored form is (sin x +2)(sin x-1)
Step-by-step explanation:
We have been given the trigonometric function 
We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'
Using the method, we can write sinx as 2sinx -sinx
Now, we group the first two terms and the last two terms
Now, we take GCF from each group
Factor out (sinx+2)
Therefore, the factored form is (sin x +2)(sin x-1)
Answer:
The patio is a rectangle
Step-by-step explanation:
Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.
Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.
So, the patio is a rectangle.
Answer:
f(3)=64
Step-by-step explanation:
f(3)=(1/8)(8 cubed)
f(3)= 8 to the negative one times 8 cubed
f(3)= 8 squared
f(3)=64
Answer:
inverse operation
Step-by-step explanation:
Inverse means opposite. The opposite of division is multiplication. For example, if you divided 15 by 3, the answer is 5. If you multiply 5 by 3, the answer is 15. You know your answer is correct by checking it with the inverse operation.
Hope this helps!! Have a wonderful day :3
