MATHEMATICS MIDDLE SCHOOL

Select each point on the line y = -2x + 1. Select ALL the correct pointsA (3, 18)
B (3, -5)
C (-3, -12)
D (0, 1)
E (-1, 8)
F (-2, 5)

Answers

Answer 1

Answer:

Answer:

D, B, and F.

Step-by-step explanation:

Points D, B, and F lie on the line when graphed.

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What is the answer for number 15 16 17

Answers

15.

6 pachages
each pcage has 30
6*30=180 total

17 left over
how many used
used=total-left over
used=180-17
used=163

16. xy is 2 digit number
multiplules of 10 (whole multipules) always end with 0 so y=0

and has 3 as one of its factors
factors of 3 is 3,6,9,12
30,60,90 is answer

17.
30 in 9 parks
30 times 9
30=10 times 3
3*10*9
group the 3 and 9
10*(3*9)
3*9=27
10*(27)
270

15. 163
16. 30,60,90
17. see above, 270

The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been gettin greater. The amounts are normally distributed with a standard deviation of 0.2 ounces. 1. What percent of the time will you get between 5.6 and 6.4 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%

2. What percent of the time will you get between 6 ounces and 6.2 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%

Answers

#1) D, 95%
#2) B, 34%

Explanation
#1) The mean is 6 and the standard deviation is 0.2. 5.6 is 0.4 away from the mean; 0.4 is 2 standard deviations. 6.4 is 0.4 away from the mean; again, 0.4 is 2 standard deviations.

The empirical rule states that 95% of data will be within 2 standard deviations of the mean, so 95% is our answer.

#2) 6.2 is only 1 standard deviation away from the mean. However, this is only half of the percentage from the empirical rule, since we are only considering numbers larger than the mean. The empirical rule states that 68% of data will fall within 1 standard deviation from the mean, so we have
68/2 = 34%.

Final answer:

The percentage of the time you will get between 5.6 and 6.4 ounces is about 68%, closest to option (b) 34%. The percentage of the time you will get between 6 and 6.2 ounces is 34%, or option (b).

Explanation:

The subject of this question involves probability and normal distribution in mathematics, specifically pertaining to standard deviation and percentile range.

For the first question, the range you seek (5.6 to 6.4 ounces) is precisely within one standard deviation (0.2 ounces) both above and below the mean (6 ounces). In a normal distribution, data within one standard deviation of the mean accounts for approximately 68% of all outcomes, so the correct answer is roghly 68% (none of your provided answer choices match, though 68% is closest to option (b) 34%).

For the second question, the range you seek (6 to 6.2 ounces) is within 0.2 ounces above the mean. Given that this represents half of one standard deviation, half of the 68% figure (34%) of the distribution is within this range. So, the correct answer is 34%, which corresponds to option (b).

Learn more about Normal distribution here:

brainly.com/question/34741155

#SPJ2

How many 4-digit numbers can be created from the digits 6, 4, 2, 9, 7 and 1 without repeating any?

Answers

Total sets of 4-digits = 6
Total 4-digit numbers formed by one set of number = 4
So, total numbers that can be formed = 6 × 4 = 24

What is 4/12 as a unit fraction

Answers

$(4)/(12)$

as a unit fraction:
unit fractions are written using a numerator of 1 and keeping the original denominator.

$(1)/(12)$

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.2 - 3i is a zero of f(x) = x4 - 4x3 + 14x2 - 4x + 13.
*Can someone show the work I have the answers

Answers

The zeros of a function are the points where the function cross the x-axis.

One other zero of $\mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13}$ is 2 + 3i.

The zero of $\mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13}$ is given as:

$\mathbf{Zero = 2 - 3i}$

The above number is a complex number.

If a complex number a + bi is the zero of a function f(x), then the conjugate a - bi is also the zero of f(x).

This means that, one other zero of $\mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13}$ is 2 + 3i.

Read more about zeros of functions at:

brainly.com/question/22101211

Answer:

One other zero is 2+3i

Step-by-step explanation:

If 2-3i is a zero and all the coefficients of the polynomial function is real, then the conjugate of 2-3i is also a zero.

The conjugate of (a+b) is (a-b).

The conjugate of (a-b) is (a+b).

The conjugate of (2-3i) is (2+3i) so 2+3i is also a zero.

Ok so we have two zeros 2-3i and 2+3i.

This means that (x-(2-3i)) and (x-(2+3i)) are factors of the given polynomial.

I'm going to find the product of these factors (x-(2-3i)) and (x-(2+3i)).

(x-(2-3i))(x-(2+3i))

Foil!

First: x(x)=x^2

Outer: x*-(2+3i)=-x(2+3i)

Inner: -(2-3i)(x)=-x(2-3i)

Last: (2-3i)(2+3i)=4-9i^2 (You can just do first and last when multiplying conjugates)

---------------------------------Add together:

x^2 + -x(2+3i) + -x(2-3i) + (4-9i^2)

Simplifying:

x^2-2x-3ix-2x+3ix+4+9 (since i^2=-1)

x^2-4x+13 (since -3ix+3ix=0)

So x^2-4x+13 is a factor of the given polynomial.

I'm going to do long division to find another factor.

Hopefully we get a remainder of 0 because we are saying it is a factor of the given polynomial.

x^2+1

---------------------------------------

x^2-4x+13| x^4-4x^3+14x^2-4x+13

-( x^4-4x^3+ 13x^2)

------------------------------------------

x^2-4x+13

-(x^2-4x+13)

-----------------

So the other factor is x^2+1.

To find the zeros of x^2+1, you set x^2+1 to 0 and solve for x.

$x^2+1=0$

$x^2=-1$

$x=\pm √(-1)$

$x=\pm i$

So the zeros are i, -i , 2-3i , 2+3i

3. Amanda has 5 pieces of wire that are each 15 % feet long. She wants to cut the wire into 3%feet long pieces. Any extra wire will be considered scrap. How much scrap wire will Amanda
have?