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IgorC [24]
3 years ago
9

A manufacturer inspects 500 personal video players and finds that 497 of them have no defects. The manufacturer sent a shipment

of 2,000 video players to a distributor. Predict the number of players in the shipment that are likely to have no defects.
Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0
Use proportion to solve:
\frac{500 total}{497 good} =  \frac{2000 total}{x}
500x = (497)(2000)
      x = 1988

Answer: 1,988 players are likely to have no defect.
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Find a polynomial F(x) of degree 3 with real coefficients and the following zeros. 4,1-i help fast please?
Rus_ich [418]

Answer:

f(x)=x3−x2−6x2+16x−10

Step-by-step explanation:

If 3−i is a zero, then 3+i

must be a zero as they are conjugates:

f( x ) = ( x − 1 ) ( x − ( 3 − i )) ( x − ( 3 + i )) f ( x ) = ( x − 1 ) ( x2 − x ( 3 + i ) − x ( 3 − i ) + 9 + 1 ) f ( x )) ( x − 1 ) ( x2 − 6x + 10 ) f ( x ) = x3 − x 2 − 6 x 2 + 16x − 10

6 0
3 years ago
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Circumference, radius, slant height, lateral area, and surface area are measurements of a cone. Given two of the measurements, f
USPshnik [31]

Answer:

  1. LA = 21.7 ft²; C = 18.8 ft; h = 2.3 ft
  2. h = 8 in; r = 7 in; SA = 330.1 in²

Step-by-step explanation:

Applicable relations are ...

  C = 2πr . . . . . . . r = radius, C = circumference

  LA = 1/2·Ch . . . . h = slant height, LA = lateral area

  SA = πr² +LA . . . SA = total surface area

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1. Given r and SA, we can find the other measures as ...

  LA = SA -πr² = 50 ft² -π(3 ft)² ≈ 21.7 ft²

  C = 2πr = 2π(3 ft) ≈ 18.8 ft

  h = 2·LA/C ≈ 2·21.7 ft²/(18.8 ft) ≈ 2.3 ft

(Please note that for calculations using intermediate results, we used the full-precision values of those results, not the rounded ones. Rounding is always the last operation. Please note, too, that we have used a value for π sufficient to ensure accuracy in all the digits shown here.)

__

2. Given C and LA, we can find the other measures as ...

  h = 2·LA/C = 2(176 in²)/(44 in) = 8 in

  r = C/(2π) = (44 in)/(2π) ≈ 7.0 in

  SA = LA +πr² = LA +rC/2 ≈ 176 in² +(7.0 in)(44 in)/2 ≈ 330.1 in²

4 0
3 years ago
The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
Is anyone good with triangle inequalities? I provided a picture for the problem.
alisha [4.7K]

Answer:

1 < x < 19

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given the measures y=10, z=9. The third side must satisfy:

10 - 9 < x < 10 + 9

1 < x < 19

3 0
2 years ago
What dose this sign mean in math ( )
polet [3.4K]

Answer:

< Less Than and > Greater Than

This symbol < means less than, for example 2 < 4 means that 2 is less than 4. This symbol > means greater than, for example 4 > 2. ≤ ≥ These symbols mean 'less than or equal to' and 'greater than or equal to' and are commonly used in algebra. In computer applications <= and >= are used.

Step-by-step explanation:

6 0
3 years ago
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