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iren [92.7K]
3 years ago
7

Given the function f(x)=(x-2)(x+3)(2x+3), which set includes all of the zeros for the polynomial?

Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

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4. The annual salaries of employees in a large company are approximately
svetoff [14.1K]

a. What percent of people earn less than $40000?

Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random

variable X =−50000

20000

~N(0,1).

( < 40000) = ( <

40000 − 50000

20000 ) = ( < −0.5) = (−0.5) = 0.3085375.

Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.

Answer: 31%.

b. What percent of people earn between $45000 and $65000?

Solution:

(45000 < < 65000) = (

45000 − 50000

20000 < <

65000 − 50000

20000 ) = (−0.25 < < 0.75)

= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.

Answer: 37%.

c. What percent of people earn more than $70000?

Solution:

( > 70000) = ( >

70000 − 50000

20000 ) = ( > 1) = 0.8413447.

Answer: 84%.

5 0
2 years ago
PLEASEEE HELP<br> Questions 4 and 5
Ilya [14]

Answer:

  • Given and explained below.

question 4

using sine rule:

\sf sinx = \frac{opp}{hyp}

\sf sinx = \frac{11}{13}

\sf x = sin^{-1}(\frac{11}{13} )

\sf x = 57.8

question 5

using cosine rule:

\sf cosx =\frac{adj}{hyp}

\sf cos(31) =\frac{x}{17}

\sf cos(31)*17 =x

\sf x = 14.6

4 0
2 years ago
Read 2 more answers
30% of the employees at a company picnic ate a hot dog for lunch. If 18 employees ate a hotdog, how many people were at the picn
coldgirl [10]
See the photo attached above

5 0
3 years ago
Read 2 more answers
Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4
zvonat [6]

Answer:

\sf y=-\dfrac12x+2

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12

Slope-intercept form of linear equation:  \sf y=mx+b

(where m is the slope and b is the y-intercept)

Given:

  • \sf m=-\dfrac12
  • b = 2

\sf \implies y=-\dfrac12x+2

3 0
2 years ago
A drawer contains 12 brown socks, 8 white socks, and 2 blue socks. One sock is selected at random.
Katyanochek1 [597]

Answer:

1/11

Step-by-step explanation:

12 + 8 + 2

22 / 2

1/11

There is always a pair of socks... A pair is 2. Add everything and divide it.

Hope this helps....

3 0
3 years ago
Read 2 more answers
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