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igor_vitrenko [27]
3 years ago
9

If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?

Mathematics
1 answer:
Olin [163]3 years ago
6 0

By the polynomial remainder theorem, the remainder is

<em>f</em> (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76

(The theorem says a polynomial <em>p(x)</em> has remainder <em>p(c)</em> upon dividing it by <em>x</em> - <em>c</em>.)

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The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation
mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = \mu = 69

Standard deviation = \sigma = 7

Formula : z=\frac{x-\mu}{\sigma}

Now At x = 55

z=\frac{55-69}{7}

z=-2

At x = 76

z=\frac{76-69}{7}

z=1

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = 0.8185 \times 100 = 81.85\%

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0
3 years ago
-12 divided by 3 x (-8 +(-4)^2 - 6) + 2
son4ous [18]

Answer:

this is the correct graph

8 0
2 years ago
Someone please help me as fast as possible just ignore the graph thing
fenix001 [56]

14 \div 50 = x \div 7500
Cross multiply
50x = 105000
x = 2100

2100 trout.
8 0
3 years ago
Need help pls explain
Scilla [17]

Answer:

  • C. 93°

Step-by-step explanation:

WY  is the diameter.

WX and XY sum to 180° as half the circle.

<u>Central angle is equal to intercepted arc:</u>

  • mXY = m∠XVY = 87°
  • mWX = 180° - mXY = 180° - 87° = 93°

Correct choice is C

4 0
2 years ago
Read 2 more answers
Suppose a water tank in the shape of a right circular cylinder is thirty feet high and eight feet in diameter. a) How much sheet
Zanzabum

Answer:

755.98 ft^2

Step-by-step explanation:

Height of the Cylinder= 30 feet

Diameter = 8 feet

Radius= Diameter/2 = 8/2 = 4 feet

The Amount of Metal Sheet used in constructing the tank is the Total  Surface Area of the Tank.

Total Surface Area of a Cylinder =

=2\pi r(r+h)\\=2*\pi*4(4+30)\\=8*\pi*30=\\=240\pi\\=755.98 ft^2

5 0
3 years ago
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