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Margarita [4]
2 years ago
7

A percent is a way of a expressing a part out of 100. Remember learning about ratios and how they compare quantities? A part-to-

whole ratio is a ratio that compares a part of a whole to another part of a whole. A percent is a part-to-whole ratio where the whole is 100. 40%, or 40 out of 100, is a ratio that compares 40, the part, to 100, the whole.
Which of these could you express as a percent?

A
how many of the 100 yogurts in the refrigerator are strawberry

B
the average size of the 100 yogurts in the refrigerator

C
the maximum number of yogurts the refrigerator can hold

D
how many grams of sugar the 100 yogurts in the refrigerator have altogether
Mathematics
1 answer:
neonofarm [45]2 years ago
8 0

Answer:A

Step-by-step explanation:

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Suppose that an airline quotes a flight time of 128 minutes between two cities. Furthermore, suppose that historical flight reco
ANTONII [103]

Answer:

(a) The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

(b) The value of P (129 ≤ X ≤ 146) is 0.3462.

(c) The probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

Step-by-step explanation:

The random variable <em>X</em> is defined as the flight time between the two cities.

Since the random variable <em>X</em> denotes time interval, the random variable <em>X</em> is continuous.

(a)

The random variable <em>X</em> is Uniformly distributed with parameters <em>a</em> = 10 minutes and <em>b</em> = 154 minutes.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

(b)

Compute the value of P (129 ≤ X ≤ 146) as follows:

Apply continuity correction:

P (129 ≤ X ≤ 146) = P (129 - 0.50 < X < 146 + 0.50)

                           = P (128.50 < X < 146.50)

                           =\int\limits^{146.50}_{128.50} {\frac{1}{154-102}} \, dx

                           =\frac{1}{52}\times \int\limits^{146.50}_{128.50} {1} \, dx

                           =\frac{1}{52}\times (146.50-128.50)

                           =0.3462

Thus, the value of P (129 ≤ X ≤ 146) is 0.3462.

(c)

It is provided that a randomly selected flight between the two cities will be at least 3 minutes late, i.e. <em>X</em> ≥ 128 + 3 = 131.

Compute the value of P (X ≥ 131) as follows:

Apply continuity correction:

P (X ≥ 131) = P (X > 131 + 0.50)

                 = P (X > 131.50)

                 =\int\limits^{154}_{131.50} {\frac{1}{154-102}} \, dx

                 =\frac{1}{52}\times \int\limits^{154}_{131.50} {1} \, dx

                 =\frac{1}{52}\times (154-131.50)

                 =0.4327

Thus, the probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

6 0
3 years ago
jem pastes 21 photos and 15 postcards in a scrap album. she puts 3 items on each page. how many pages does jem fill in the scrap
ddd [48]
12 pages

Each side count as a page

21+15=36 36/3=12
6 0
3 years ago
This table shows values represented by an exponential function.
Bad White [126]

Answer:

a = 2 , f(2)=9

b = 4 , f(4)=64

And replacing the data into the average rate formula we got:

m = \frac{64-9}{4-2}= 27.5

And then the best answer for this case would be:

C. 27.5

Step-by-step explanation:

For this cae we know that the average rate of change of a function is given by this general expresion:

m = \frac{f(b) -f(a)}{b-a}

For this special case from the info of the table we have:

a = 2 , f(2)=9

b = 4 , f(4)=64

And replacing the data into the average rate formula we got:

m = \frac{64-9}{4-2}= 27.5

And then the best answer for this case would be:

C. 27.5

7 0
3 years ago
State the range of the relation
Finger [1]

The range of the given relation is D. R = {-1, 3, 5, 8}.

Step-by-step explanation:

Step 1:

The range of a relation is the second set of values while the domain constitutes the first set of values.

There are 4 given relations with two sets of values so there would be 4 domain values and 4 range values.

Step 2:

The range of (1, -1) = -1,

The range of (2, 3) = 3,

The range of (3, 5) = 5,

The range of (4, 8) = 8.

Combining these values we get the range as {-1, 3, 5, 8} which is option D.

3 0
3 years ago
50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?
Fittoniya [83]

Hi there!

\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}

We are given the equation:

x² - 2y = 7

To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:

1. (5)² - 2(8) = 7

25 - 16 = 9 ≠ 7. This is NOT correct.

2. (-1)² - 2(-3) = 7

1 + 6 = 7. This is correct.

3. (-4)² - 2(-11.5) = 7

16 + 23 = 39 ≠ 7. This is NOT correct.

4. (1.2)² - 2(-2.78) = 7

1.44 +5.56 = 7. This is correct.

Thus, only 1 and 4 are the correct answers.

5 0
2 years ago
Read 2 more answers
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