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stepan [7]
3 years ago
13

P(x)=2x 4 −x 3 +2x 2 −6P, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x,

cubed, plus, 2, x, squared, minus, 6 What is the remainder when P ( x ) P(x)P, left parenthesis, x, right parenthesis is divided by ( x − 2 ) (x−2)left parenthesis, x, minus, 2, right parenthesis?
Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Answer:

P = -x^3 +12 / x+6

Step-by-step explanation:

Let's solve for p.

px=(2)(4)−x3+(2)(2)−6p

Step 1: Add 6p to both sides.

px+6p=−x3−6p+12+6p

px+6p=−x3+12

Step 2: Factor out variable p.

p(x+6)=−x3+12

Step 3: Divide both sides by x+6.p(x+6)

x+6

=

−x3+12

x+6

p=

−x3+12

x+6

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If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly
cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_xp^x(1-p)^n-x, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0
3 years ago
Frozen motts sticks cost $.022 each. If there are 6 sticks in on order, what is the portion cost for an order of motts sticks?
solong [7]

Answer:

$ 1.32

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • Cost of each Mott's Stick = $0.22 .

Now there are 6 sticks in an order . So the cost of six sticks will be ,

→ Cost = $ 0.22 × 6

→ Cost = $ 1.32

<h3>Hence the cost of an order of sticks is $ 1.32 </h3>
8 0
3 years ago
State the postulate for each
asambeis [7]

Answer:

<h3>1. SAS</h3><h3>2. SSS</h3><h3>3. AAS</h3><h3>4. AAS</h3><h3>5. AAS</h3><h3>6. HL</h3><h3>7. SAS</h3><h3>8. SAS</h3><h3>9. SSS</h3>

5 0
2 years ago
A small pizza has an 8-in. Diameter a large pizza has a 15-in. Diameter. The pizzeria charges the same price per square inch for
vlabodo [156]

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

Step-by-step explanation:

The given is,

                A small pizza has an 8-inches in diameter

                A large pizza has a 15-inches in Diameter

                The small pizza cost $7

Step:1

                Area of smaller pizza,

                                        Area, A_{S} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{8}{2}

                                       r = 4 inches

                  Equation (1),

                                    A_{S} = \pi  4^{2}

                                          =(3.14)(16)                             ( ∵ \pi=3.14 )

                                          = 50.24 Square inches

Step:2

              Area of smaller pizza,

                                        Area, A_{L} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{15}{2}

                                       r = 7.5 inches

                  Equation (1),

                                    A_{S} = \pi  7.5^{2}

                                          =(3.14)(56.25)                             ( ∵ \pi=3.14 )

                                          = 176.625 Square inches

Step:3

            Cost of pizza per square meter,

                                                = \frac{Cost of small pizza}{Area of small pizza}

                                                =\frac{7}{50.24}

                                                = $ 0.1393 per square meter

                Cost of Larger pizza = Area of Larger pizza × Cost per square meter

                                                = (176.625)(0.139331)

                                                = $24.62

Result:

          The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

         

                                             

6 0
4 years ago
The Walker family is selecting a furniture set. A furniture set has a bed, a desk, and a dresser. There are 2 beds, 2 desks, and
finlep [7]

Answer:

They can select total 8 different furniture sets.

Step-by-step explanation:

Here given

The different choice of beds = 2

The different choice of dresser = 2

The different choice of desks = 2

And they need to choose 1 bed, 1 desk , 1 dresser

So, choice available for a desk = 2

Similarly, choice available for dresser = 2

and choice available for bed = 2

HENCE, THE TOTAL CHOICE OF PERMUTATION IS  = 2 x 2 x 2 = 8

So they can select their furniture set in 8 different ways.

7 0
3 years ago
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