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3 years ago

Divide p(x) = (x^4 – 5x + 6) by g(x) = (2 – x^2)

Mathematics

1 answer:

sesenic [268]3 years ago

5 0

Answer:

The answer is shown in the picture.

Step-by-step explanation:

When the power in the numerator is greater than the power in the dernominator, you have to use Long Division. In this question, the power in numerator is x⁴ and the power in dernominator is x².

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The prism below is made of cubes which measure 1/3 of an inch on one side what is the volume

EastWind [94]

Answer:

Volume of rectangular prism = 10/9 inch³

Step-by-step explanation:

Given:

Size of each cube = 1/3 inch

Find:

Volume of rectangular prism

Computation:

Length of rectangular prism = 2 x [1/3]

Length of rectangular prism = 2/3 inch

Width of rectangular prism = 3 x [1/3]

Width of rectangular prism = 3/3

Width of rectangular prism = 1 inch

Height of rectangular prism = 5 x [1/3]

Height of rectangular prism = 5/3 inch

Volume of rectangular prism = Length x Width X Height

Volume of rectangular prism = [2/3] x [1] x [5/3]

Volume of rectangular prism = 10/9 inch³

7 0

3 years ago

Write an equation in the form of y=mx + b that represents a linear relationship with a slope of 2 and a y-intercept of 7.

podryga [215]

Answer:

y = 2x + 7

The m in the equation is the slope and the b is always the y-intercept.

5 0

3 years ago

businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message

KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let X = number of text messages receive or send in an hour.

The random variable X follows a Poisson distribution with parameter λ.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: $\lambda=\frac{62.7}{24}= 2.6125$ .

The probability of a random variable can be computed using the formula:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...$

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

$P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180$

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

$=1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667$

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0

3 years ago

425 is decreased to 319

tatuchka [14]

425 is decreased to 319.

The above statement means that a number should be deducted from 425 to get the difference of 319.

Let x be the unknown number.

425 - x = 319
425 - 319 = x
106 = x

106 is the unknown number.

It can be phrased like this: 425 decreased by 106 is 319.

7 0

4 years ago

Write an expression that is equal to 3 times 2 and 1 /4

koban [17]

3x2x(1/4)= ????? And then u find the answer

6 0

3 years ago