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UNO [17]
3 years ago
12

Write the opposite polynomial for -3x ^3+12x-4

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

3x³ - 12x + 4  

Step-by-step explanation:

The opposite of a polynomial P is -P.

You find the opposite of P by multiplying it by -1.

 P = -3x³ + 12x - 4

-P = (-1)( -3x³ +       12x   -      4)     Distribute -1 to each term

    = (-1)(-3x³) + (-1)(12x)  - (-1)(4)     Multiply each coefficient by -1

    =       3x³  +     (-12)x -     (-4)

   =       3x³  -        12x   +     4

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1. The US Mint has a specification that pennies have a mean weight of 2.5g. From a sample of 37 pennies, the mean weight is foun
Evgesh-ka [11]

Answer:

the pennies does not conform to the US mints specification

Step-by-step explanation:

z = (variate -mean)/ standard deviation

z= 2.5 - 2.4991 / 0.01648 = 0.0546

we are going to check the value of z in the normal distribution table, which is the table bounded by z.

checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)

we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim

since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification

the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected

7 0
3 years ago
Hey lol i need help with this plz
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Answer:

The first line shows the solutions to n > 0.

The open circle and shaded part after the 0 indicate that n > 0 is represented by the first line.

5 0
2 years ago
elise is changing the dimensions of her garden. the length is 20 feet longer than its width. if she decreases this length by 8 f
vitfil [10]
Let x be the initial width, then the initial length is x+20.
<span>If Elise decreases this length by 8 feet, she will get the new length  x+20-8=x+12.
</span>
 If Elise increases the width by 10 feet, <span>she will get the new width x+10.
</span><span>
</span><span>The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128,  x=128÷4, x=32.
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</span><span>The initial width is 32 ft and the initial length is 32+20=52 ft.
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</span><span>The new width will be 32+10=42 ft, the new length will be 32+12=44 ft.
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4 0
3 years ago
Isabella ran the 100-meter dash five times. The time it took her to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.
Stells [14]

Given:

Number of 100-meter races = 5

The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.

To find:

The decimals in order from greatest to least.

Solution:

The time it took Isabella to complete each race, in seconds, was shown below:

12.7, 12.807, 12.78, 12.08, 12.087

We need to arrange this data in descending order.

In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get

12.807 > 12.78 > 12.7 > 12.087 > 12. 08

Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.

7 0
2 years ago
Jessica wrote a computer program to create colored shapes. The shapes are either squares or circles and both are equally likely.
Alik [6]

Answer: 16 2/3%

Step-by-step explanation:

Given that:

Shape are either square or circle with both equally likely :

Hence,

P(square) = 1/2 ; P(circle) = 1/2

Color are either blue, red or green with the three equally likely ;

P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3

Probability of creating a green circle :

Independent probability

P(green n circle) = p(green) * p(circle)

P(green n circle) = 1/3 * 1/2

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%

7 0
3 years ago
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