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Wittaler [7]
3 years ago
5

A system of linear inequalities is shown below:

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0
The 4th selection is appropriate:
  The first line is a dashed line which joins ordered pairs (-2, 1) and (3, 1). The second line is a dashed line and joins ordered pairs (-2, -2) and (3, 3). The portion common above the first line and above the second line is shaded

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Peter randomly draws a card from a deck of 24. The odds in favor of his drawing a spade from the cards are 1:3. What is the prob
oee [108]

Answer:

1 /4

Step-by-step explanation:

Given that :

Let :

P(S) = probability of drawing a spade

Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :

P(drawing a spade)/P(not drawing a spade) = 1:3

P(S) / P(S') = 1/ 3

P(S') = 1 - P(S)

P(S) / (1 - P(S)) = 1 / 3

Cross multiply :

3P(S) = 1 - P(S)

Collect like terms

3P(S) + P(S) = 1

4P(S) = 1

P(S) = 1/4

Hence, probability ratio of drawing a spade P(S) = 1/4

8 0
3 years ago
A skateboard ramp makes a 27 degree angle with the ground to the nearest foot how high is the ramp
zepelin [54]
The answer is:
x=16.3
6 0
3 years ago
If the circumference of a circle measures 25.12cm, what is the area of the circle in terms of pi?
kiruha [24]

Answer:

Step-by-step explanation:

The formula for circumfrance is 2*(pi)*R and the formula for area is (pi)* R^2 or (pi) R-squared.

Circumfrance is 25.12 so....

25.12 = 2 * (pi) R........ you want to find R because you need it to find the area

R is about 4; it is 3.99797 .

You use the R that you goot from cirdumfrance to find area.

Area = (pi) (4)^2 = 50. 265

or is you prefer a more precise answer, Area = 50.2145

4 0
3 years ago
Kathy recorded the following measurements of length: 2.5 cm.
IRISSAK [1]

Answer:

2.8

Step-by-step explanation:

To find the mean add all the values and divide by the amount of values and when you add everything up it is 14 and dividr by 5 to get 2.8

5 0
3 years ago
Read 2 more answers
Complete the steps to solve the equation -19x - 11 = -125.
amm1812

Answer:

Step-by-step explanation:

-19x-11= -125 add 11 to both sides

-19x= -114   divide by -19

x= 6

8 0
3 years ago
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