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Advocard [28]
3 years ago
6

If the mean time is 22 minutes and the standard deviation is 5 minutes , 95% of the employees will have travel time within which

range?
Mathematics
1 answer:
damaskus [11]3 years ago
5 0

Answer:

12 minutes to 32 minutes

Step-by-step explanation:

"normal distribution. If the mean time is 22 minutes and the standard

deviation is 5 minutes, 95% of the employees will have a travel time within

which range?"

"A. 17.25 minutes to 26.75 minutes

B. 12 minutes to 32 minutes

C. 7 minutes to 37 minutes

D. 17 minutes to 27 minutes"

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s2008m [1.1K]

4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x  -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R}  ~\text{Since}~ -1\leq \sin x \leq 1\\

\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~  [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x =  2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68

5 0
2 years ago
There are 1,994 strawberries picked from the farmif the strawberries are sorted equally into six bins, how many strawberries wil
irakobra [83]

Answer:

332

the reason why I think it's $332 is because if you do 1,994 / 6 then that equals 332 I don't know if you get it right if you do great job if you don't I understand

7 0
3 years ago
Find the area of ABC with vertices A(3,-6), B(5,-6), and C(7,–9).
stellarik [79]

Area of a triangle ABC with the given vertices is 3 square units.

Given that, the vertices of a triangle ABC, A(3,-6), B(5,-6), and C(7,–9).

<h3>What is the area of triangle formula in coordinate geometry?</h3>

In Geometry, a triangle is a three-sided polygon that has three edges and three vertices. The area of the triangle is the space covered by the triangle in a two-dimensional plane.

Area of a triangle = \frac{1}{2} ( |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|)

Here, (x1, y1) = A(3,-6), (x2, y2) = B(5,-6), and (x3, y3) = C(7,–9)

Now, the area of a triangle = 1/2 (|3(-6+9)+5(-9+6)+7(-6+6)|)

= 1/2 (|3(3)+5(-3)+7(0)|)

= 1/2 (|(9-15)|)

= 1/2 × 6

= 3 square units

Therefore, area of a triangle ABC with the given vertices is 3 square units.

To learn more about the area of a area of triangle with vertices visit:

brainly.com/question/26633662.

#SPJ1

7 0
2 years ago
The regular price of a sweater is $42.99. It is on sale for 20% off. Find the amount of discount and the sale price
elena-14-01-66 [18.8K]

Answer:

34.392, 20%= 8.598

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Student loan: A student takes out an emergency loan for tuition, books, and supplies. The loan is for $200 with an interest rate
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Answer:

The answer is 120

Step-by-step explanation:

8 0
3 years ago
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