If a table is 2.5 units long, 1 unit is most likely represents a

Divide.<br><br> −2 4/7<br><br> Enter your answer as a mixed number, in simplified form, in the box.

Katarina [22]

Answer:
-3 $\frac{3}{7}$

Explanation:
$\frac{-24}{7}$ = -3 $\frac{3}{7}$
So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.

3 0

3 years ago

The function LaTeX: f\left(x\right)=2\cdot5^xf ( x ) = 2 ⋅ 5 x can be used to represent an exponential growth curve. Which of th

masha68 [24]

Answer:

(2,20)

Step-by-step explanation:

The given function is

$f(x) = 2 \cdot \: {5}^{x}$

To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;

For the first point we substitute x=3 and f(x)=250

$250= 2 \cdot \: {5}^{3} \: \\ 250 = 2 \times 125 \\ 250 = 250$

This is true.

For the second point (2,20), we put x=2 and y=20 to get:

$20= 2 \cdot \: {5}^{2} \\ 20 = 2 \times 25 \\ 20 = 50$

This is false, hence (2,20) does not lie on this curve.

For (1,10), we have:

$10= 2 \cdot \: {5}^{1} \\ 10 = 10$

This is also true

Finally for (2,50), we have;

$50= 2 \cdot \: {5}^{2} \\ 50 = 2 \times 25 \\ 50 = 50$

This is also true.

4 0

3 years ago

A survey is conducted to find out whether people in metropolitan areas obtain their news from television (Event T), an newspaper

MrMuchimi

Answer:

e) P ( R' | T ) = 0.62857

f) P ( T' | N ) = 0.32258

g) P ( R' | N ) = 0.70968

h) P ( T' | N&R ) = 5/6

Step-by-step explanation:

Given:

- The probability of Television as news source P ( T ) = 0.7

- The probability of Newspaper as news source P ( N ) = 0.62

- The probability of Radio as news source P ( R ) = 0.46

- The probability of Television & Newspaper as news source P (T&N) = 0.42

- The probability of Television & Radio as news source P (T&R) = 0.26

- The probability of Radio & Newspaper as news source P (R&N) = 0.18

- The probability of all 3 as news source P ( T & R & N ) = 0.03

Find:

Given that TV is a news source, what is the probability that radio is not a news source?

Given that newspaper is a news source, what is the probability that TV is not a news source?

Given that newspaper is a news source, what is the probability that radio is not a news source?

Given that both newspaper and radio are news sources, what is the probability that TV is not a news source?

Solution:

- We will first compute the individual probability of each event occurring alone.

P (Television is the only news source) = P(T) - P(T&R) - P(T&N) + P(T&N&R)

P ( Only Television ) = P ( only T ) = 0.7 - 0.42 - 0.26 + 0.03 = 0.05

P (Newspaper is the only news source) = P(N)-P(N&R)-P(T&N)+P(T&N&R)

P ( Only Newspaper ) = P ( only N ) = 0.62 - 0.18 - 0.42 + 0.03 = 0.05

P (Radio is the only news source) = P(R) - P(T&R) - P(N&R) + P(T&N&R)

P ( Only Radio ) = P ( only R ) = 0.46 - 0.26 - 0.18 + 0.03 = 0.05

- Now for part e)

We are asked for a conditional probability of the form as follows:

P ( R' | T ) = P ( R' & T ) / P ( T )

First compute the probability that next news source is not Radio provided it is already a source of TV.

P ( R' & T ) = P( only T ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

P ( R' | T ) = 0.44 / 0.7

P ( R' | T ) = 0.62857

- Now for part f)

We are asked for a conditional probability of the form as follows:

P ( T' | N ) = P ( T' & N ) / P ( N )

First compute the probability that next news source is not TV provided it is already a source of Newspaper.

P ( T' & N ) = P( only N ) + P ( only R & N ) = 0.05 + 0.18 - 0.03 = 0.2

Hence,

P ( T' | N ) = 0.2 / 0.62

P ( T' | N ) = 0.32258

- Now for part g)

We are asked for a conditional probability of the form as follows:

P ( R' | N ) = P ( R' & N ) / P ( N )

First compute the probability that next news source is not Radio provided it is already a source of Newspaper.

P ( R' & N ) = P( only N ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

P ( R' | N ) = 0.44 / 0.62

P ( R' | N ) = 0.70968

- Now for part h)

We are asked for a conditional probability of the form as follows:

P ( T' | N&R ) = P ( T' & N & R) / P ( N & R )

First compute the probability that next news source is not TV provided it is already a source of both radio and Newspaper.

P ( T' & N & R) = P ( only N & R ) = 0.18 - 0.03 = 0.15

Hence,

P ( T' | N&R ) = 0.15 / 0.18

P ( T' | N&R ) = 5/6

6 0

3 years ago

In the image it appears everything

rosijanka [135]

X = -3 it's practically the y intercept in which x is equals 0

4 0

3 years ago

Read 2 more answers

A copy machine makes 44 copies per minute. How long does it take to make 209 copies

kipiarov [429]

Answer:

5 minutes.

44 x 5 = 220,

since 44 x 4 = 176 < 209

7 0

2 years ago