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myrzilka [38]
3 years ago
10

A polynomial is shown below.

Mathematics
2 answers:
fredd [130]3 years ago
5 0

Answer:

A, -9

Step-by-step explanation:

Alja [10]3 years ago
3 0

Answer:

The remainder is -9

So, Option A is correct.

Step-by-step explanation:

We need to divide the polynomial 4x^3-7x^2-13 by x-2 and determine the remainder.

The division is shown in the figure attached.

The remainder is -9

So, Option A is correct.

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If it is January then there are 31 days this month write the inverse of the conditional statement
Vera_Pavlovna [14]
January has 31 days so that mean january is friends with christmas.
6 0
2 years ago
Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul
IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

4 0
2 years ago
F(x)=-5x-14 find f(-9)
Pepsi [2]

Answer:

f(-9)=31

Step-by-step explanation:

f(x)=-5x-14

f(-9)=-5(-9)-14

f(-9)=45-14

f(-9)=31

6 0
2 years ago
How would the following triangle be classified?
Anna [14]

Answer:

hope this helpful

Step-by-step explanation:

isosceles right

because A light ray incident at 90° at the first face emerges at the same angle. The diagram shows five isosceles right-angled prisms. A light ray incident at 90° at the first face emerges at the same angle with the normal from the last face.

8 0
2 years ago
What is the value of x?
OLga [1]

Answer:

x = 24

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

<em>a</em> = a leg

<em>b</em> = another leg

<em>c</em> = hypotenuse

Step 1: Plug in known variables

x² + 10² = 26²

Step 2: Evaluate

x² + 100 = 676

Step 3: Isolate <em>x </em>term

x² = 576

Step 4: Isolate <em>x</em>

√x² = √576

x = 24

5 0
3 years ago
Read 2 more answers
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