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3 years ago

Determine whether each expression is a polynomial. If it is a polynomial, state the degree of the polynomial. 3x3 - 4x2

Mathematics

1 answer:

Andrei [34K]3 years ago

6 0

In this equation the degree is a polynomial.
Answer) Degree 3

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Y=-2/3x+2, y=3/2x+8 these lines are A) parallel B)perpendicular C)neither

OLga [1]

Answer:

B) perpendicular

Step-by-step explanation:

i graphed them

7 0

3 years ago

Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,

IrinaK [193]

Answer:

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{225}{15} = 15$

Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

$S.D = \sqrt{\dfrac{128}{14}} = 3.02$

Empirical rule:

According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
About 68% of data lies within one standard deviation of the mean.
About 95% of data lies within two standard deviations of mean.
Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

$\mu \pm 1\sigma = 15\pm (3.02) = (11.98,18.02)$

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

5 0

2 years ago

Which of these is an example of a continuous random variable?

dalvyx [7]

B.Number of eye blinks in a minute.
We do not have a set amount of blinks per minute.
A.Inccorect,a touchdown is 6 points
C.Speed of a race car rises at a constant rate depending on the car,speed e.t.c
D.Dogs get placed in a kennel and have a set ammount.

4 0

3 years ago

Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards? Write

Temka [501]

It would be 9 1/3 divided by 7/1 or 28/3 * 1/7

It would give you 28/21 which would simplify to 4/3 and still leave you with an improper fraction

4 0

3 years ago

The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10

Nutka1998 [239]

If the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Explanation:

Here you have to use the formula

${a}^{2} + {b}^{2} = {c}^{2}$
Then you have to pose the formula in terms of one of the legs, so:

${a}^{2} = {c}^{2} - {b}^{2}$
$a = \sqrt{ {c}^{2} - {b}^{2}}$
So when you change the letter for numbers you have that:

$a = \sqrt{ {58}^{2} - {42}^{2} }$

a=40

5 0

2 years ago