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3 years ago

HELP!!!! NEED HELP ASAP!!! WILL MARK BRAINLIST!!!!

Mathematics

1 answer:

Alecsey [184]3 years ago

4 0

Answer:

Step-by-step explanation:

Let's consider an exponential function as,

f(x) = 2ˣ

Now we prepare the input-output value table to get the ordered pairs to be plotted.

f(x) 0.25 0.5 1 2 4 8

x -2 -1 0 1 2 3

By plotting these points we get the graph as attached.

Therefore, second option in the last attachment will be the correct option.

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The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the computer stations are 158.4 pound

Lynna [10]

The mean weight of five complete computer stations is 167.2 pounds.

The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.

We have to determine the weight of fifth computer station.

Let the weight of fifth computer station be 'x' pounds.

Mean is calculated by sum of all the observations divided by the total number of observations.

So, $\frac{158.4+162.8+165+178.2+x}{5}=167.2$

$\frac{664.4+x}{5}=167.2$

${664.4+x}=167.2 \times 5$

${664.4+x}=836$

x= 171.6 pounds

The weight of fifth computer station is 171.6 pounds.

3 0

3 years ago

Read 2 more answers

Write the quadratic equation whose roots are 6 and -2, and whose leading coefficient is 4,

Zinaida [17]

Answer:

4x^2 - 16x - 48 = 0.

Step-by-step explanation:

In a factor form it is:

4(x + 2)(x - 6) = 0

Convert to standard form:

4(x^2 - 4x - 12) = 0

4x^2 - 16x - 48 = 0.

8 0

4 years ago

Read 2 more answers

Is D the right answer please help!

Leto [7]

The correct answer is C.
-5 is not greater than -3. Negatives are tricky; remember that the closer a negative is to zero, the greater that quantity actually is.

8 0

3 years ago

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet

Alexandra [31]

Answer:

The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.

The values for P(x) are:

$P(0)=0.25\\\\P(1)=0.1875\\\\P(2)=0.1406\\\\P(3)=0.1055\\\\P(4)=0.0791\\\\P(5)=0.0593\\\\P(6)=0.0445\\\\P(7)=0.0334\\\\P(8)=0.025\\\\P(9)=0.0188\\\\P(10)=0.0141\\\\$

Step-by-step explanation:

This kind of random variables can be descripted by the geometrical distribution.

This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).

Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25

Then, the probability of x is:

$P(x)=q^x\cdot p$

The values for the first x are:

$P(0)=0.75^0\cdot 0.25=0.25\\\\P(1)=0.75^1\cdot 0.25=0.1875\\\\P(2)=0.75^2\cdot 0.25=0.1406\\\\P(3)=0.75^3\cdot 0.25=0.1055\\\\P(4)=0.75^4\cdot 0.25=0.0791\\\\P(5)=0.75^5\cdot 0.25=0.0593\\\\P(6)=0.75^6\cdot 0.25=0.0445\\\\P(7)=0.75^7\cdot 0.25=0.0334\\\\P(8)=0.75^8\cdot 0.25=0.025\\\\P(9)=0.75^9\cdot 0.25=0.0188\\\\P(10)=0.75^{10}\cdot 0.25=0.0141\\\\$

This probability will be descending as the the variable x increases.

The mean is:

$\mu=\frac{1-p}{p}= \frac{1-0.25}{0.25}=\frac{0.75}{0.25}=3$

The standard deviation is:

$\sigma=\sqrt{\frac{1-p}{p^2}} =\sqrt{ \frac{0.75}{0.25^2} }=\sqrt{12}= 3.46$

5 0

3 years ago

Sandra wrote the sequence shown:

-BARSIC- [3]

Answer:

2n^2 + n + 4.

Step-by-step explanation:

7, 14, 25, 40, 59

The differences are 7, 11, 15, 19 which is arithmetic sequence so the given sequence is quadratic.

Compile a table:

n 1 2 3 4 5

term 7 14 25 40 59

Diff: 7 11 15 19

Diff: 4 4 4 - this indicates that first part is 2n^2.

2n^2 2 8 18 32 50

term-2n^2 5 6 7 8 9

- the nth term for the last sequence is 5+ (n - 1)d =

= 5 + (n - 1)* 1

= n + 4.

So nth term for the original sequence is 2n^2 + n + 4.

8 0

3 years ago