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3 years ago

Write each polynomial in standard form. -2.x2 + x4 +3

Mathematics

1 answer:

patriot [66]3 years ago

5 0

Answer:

x^4 - 2x^2 + 3

Step-by-step explanation:

Rearrange the terms so that they are in descending order by powerss of x;

Highest power is 4: x^4, followed by x^2 and then the constant, x:

-2x^2 + x^ 4+ 3 = x^4 - 2x^2 + 3 (answer)

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Determine the number of lines of symmetry and the number of rotation symmetries for each of the following sea organisms.

Alex777 [14]

There are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.

Given four figures.

We are required to find the number of lines of symmetry and rotational symmtries.

Symmetry lines are those lines which act as shape in such a way that both parts are like mirror image.

Rotational symmetry is the property that a shape has when it looks same after some turn.

There are 9 lines of symmetry and infinite rotational symmetries in first figure.

There are 4 lines of symmetry and no rotational symmetries in second figure.

There are 6 lines of symmetry and infinite rotational symmetries in third figure.

There is 1 line of symmetry and infinite rotational symmetries in fourth figure.

Hence there are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.

Learn more about symmetry lines at brainly.com/question/1553710

#SPJ1

6 0

2 years ago

Gavin spent $35.45 on four pairs Jeans each pair of Jean cost the same amount. Gavin wanted to find the price for each pair of j

Ksivusya [100]

Answer:

Each pair costs $8.86

Step-by-step explanation:

Divide 35.45 by 4

You get 8.8625

Round that to the nearest hundredth.

You get $8.86

Hope this helped!

7 0

3 years ago

g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th

xxTIMURxx [149]

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Sampling with replacement:

I consider a success choosing a black ball, so $p = \frac{50}{150+50} = \frac{50}{200} = 0.25$

We want 2 black balls and 2 white, 2 + 2 = 4, so $n = 4$ , and we want P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109$

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so $N = 200$

Sample of 4, so $n = 4$

50 are black, so $k = 50$

We want P(X = 2).

$P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116$

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

3 0

3 years ago

Can someone help please and thank you !!!

maria [59]

B

Add around 8+5+4+3+4+3+7.9=34.9
Got 7.9 for half circle
Circumference of circle pi times diameter divided by 2

3 0

4 years ago

Read 2 more answers

A restaurant manager wants to purchase 200200 sets of dishes. one design costs $1010 per set, while another costs $5555 per s

Sophie [7]

Unless it was a restaurant for the king ..... i am going to assume your
200200 is 200
$1010 is $10
$5555 is $55
$78507850 is $7850

Let x be the number of $10 design set
$10 design set = x
$55 design set = 200 - x

10x + 55(200 - x) = 7850
10x + 11000 - 55x = 7850
55x - 10x = 11000 - 7850
45x = 3150
x = 70
200 - 70 = 130

70 of the $10 design and 130 of the $55 design

5 0

4 years ago