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kaheart [24]
2 years ago
12

2 Points

Mathematics
1 answer:
liraira [26]2 years ago
8 0

Two or zero expresses the possible number of positive real  solutions for the given polynomial equation.

Answer: Option D

<u>Step-by-step explanation:</u>

Given equation:

        x^{3}-4 x^{2}-7 x+28=0

First, we put hit and trial method to find out the one solution. So, if we put x=4 then the above expression will become zero.  We can also write the above expression as  

      (x-4) \times\left(x^{2}-7\right)=0

We know the formula, a^{2}-b^{2}=(a+b)(a-b), make use of this, we get

   (x-4) \times(x-\sqrt{7}) \times(x+\sqrt{7})=0

So, x=4, \sqrt{7},-\sqrt{7}

Hence, from the above expression, we have three values of x as x= 4, 2.64 and -2.64

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What is the perimeter of isosceles trapezoid KLMN?? HELP<br> ASAP!!!!
algol13
MN = √2
it comes from √(1^2 + 1^2) = √2 (use phytagoras)

LK = 2 x MN = 2 √2

NK = √(2^2 + 1^2) = √5

ML = NK = √5

so the perimeter
√2 + 2 √2 + √5 + √5
3 √2 + 2 √5
4 0
2 years ago
A sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's p
charle [14.2K]

Answer:

So the value of the test statistic is -0.85.

Step-by-step explanation:

We know that a sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 54% of the chips do not fail in the first 1000 hours of their use.

We get that:

n=1800\\\\p_1=53\%=0.53\\\\p_2=54\%=0.54\\

We calculate the standar deviation:

\sigma=\sqrt{\frac{0.53 \cdot (1-0.53)}{n}}=\sqrt{\frac{0.53 \cdot 0.47}{1800}}=0.01176

We calculate the value of the test statistic:

z=\frac{p_1-p_2}{\sigma}=\frac{0.53-0.54}{0.01176}=-0.85

So the value of the test statistic is -0.85.

5 0
3 years ago
Find the median of this data: 18, 9, 17, 18, 15, 10, 18. If necessary, round to the nearest tenth.
Marta_Voda [28]
9, 10, 15, 17, 18, 18, 18

17

3 0
2 years ago
Find the value of H:
rewona [7]

Answer:

The value of H is 28.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(H-6)/(-7-(-5))

m=(H-6)/(-7+5)

-11=(H-6)/-2

-11(-2)=H-6

22=H-6

H=22+6

H=28

7 0
2 years ago
The given curve is rotated about the y-axis. find the area of the resulting surface. y = 1 3 x3/2, 5 ≤ x ≤ 12
Katyanochek1 [597]
The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
13/8(12^4)-13/8(5^4)
=32680+3/8 sq. units
=
7 0
3 years ago
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