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3 years ago

Find the vertex of the parabola algebraically; f(x) = x^2 - 8x + 3

Mathematics

1 answer:

Kitty [74]3 years ago

4 0

Answer:

( 4 ,− 13 )

Step-by-step explanation:

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A keychain-sized Rubik’s Cube® is made up of small cubes. Each small cube has a surface area of 1.5 square inches.

satela [25.4K]

The answer would be 0.5 square inches. This is because the surface area formula of a cube is 6a^2. So divide 1.5 by 6, you get 0.25. Then square root 0.25 and the answer is 0.5 square inches.

5 0

4 years ago

Combine like terms to create an equivalent expression. 0.25k+1.5−k−3.5

Ann [662]

-0.75k+1.5-3.5
-0.75k-2

4 0

4 years ago

Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the

Murljashka [212]

Answer:

Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

Step-by-step explanation:

$H_{0}$ : Mean speed of the new chip is the same as the old chip

$H_{a}$ : Mean speed of the new chip is greater than the old chip

to calculate the z-statistic we can use the formula:

z= $\frac{M_{n}-M_{o}}{\sqrt{\frac{s_{n}^2}{N_{n}} +\frac{s_{o}^2}{N_{o}} } }$

if we put the numbers then

z= $\frac{495.6-481.2}{\sqrt{\frac{19.4^2}{65}} +\frac{14.3^2}{65} } }$ =4.8171

The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

4 0

3 years ago

If you are studying the effects of UV rays on eyesight and you group 10 people together and make them wear sunglasses for 10 wee

Anastasy [175]

The variable of interest would be whether or not their eyes were affected.
Variables of interest are like independent variables, they are the variable that you are testing for change.

8 0

3 years ago

Read 2 more answers

How do a parameter and a statistic differ? Choose the correct answer below.

gayaneshka [121]

Answer:

Step-by-step explanation:

A parameter is a summary measure computed to describe a characteristic of the population and it involves the measurement of all in the population numerically/quantitatively. e.g Average of all the values measured in the population

A statistic is a measurement based on sample observations.

Examples of statistics constructed from a random sample : [ $X_{1}.....X_{n}$

(a) max $(x_{1}....x_){n}$

(b) Average of the observed values

5 0

3 years ago