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3 years ago

if an event is likely to occur, which of the following best describes the probability that the event will occur?

Mathematics

1 answer:

Roman55 [17]3 years ago

8 0

Answer:

Certain

Step-by-step explanation:

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M(3,6) is the midpoint of Rs The coordinates of S are (5,9). What are the coordinates of R? O 17, 12) O (4, 7.5) O (6, 12) O (1,

miss Akunina [59]

Answer:

Step-by-step explanation:

(x+5)/2 = 3

x + 5 = 6

x = 1

(y+9)/2=6

y+9= 12

y = 3

(1, 3)

answer is option 4

8 0

3 years ago

Please do both please answer properly and show how u got ur answer

Sphinxa [80]

Answer:

a) No.

b) Yes.

Step-by-step explanation:

a) It's not proportional. Although the graph represents a straight line, it does not pass through the origin (0,0).

b) It is proportional. It is a straight line that passes through the origin.

6 0

3 years ago

Which answer describes the function f(x)=2x^3-x^2<br><br> Odd<br> Even<br> Neither

velikii [3]

it is neither, it cannot be raised to a power unless it is 0 or 1 :)

5 0

4 years ago

If a truck travels 160 miles on 20 gallons of gas, how many gall travel 400 miles?

Olenka [21]

Step-by-step explanation:

160 miles = 20 gallons

400 miles = x gallons

160 × x = 20 × 400

x = 8, 000/160

x = 50 gallons

5 0

3 years ago

Suppose that the pH of soil samples taken from a certain geographic region is normally distributed with a mean pH of 7 and a sta

Otrada [13]

Answer:

a) P=0

b) P=1

c) P=0

d) X=7.1645

Step-by-step explanation:

We have the pH of soil for some region being normally distributed, with mean = 7 and standard deviation of 0.10.

a) What is the probability that the resulting pH is between 5.90 and 6.15?

We calculate the z-score for this 2 values, and then compute the probability.

$z_1=(X_1-\mu)/\sigma=(5.9-7.0)/0.1=-11\\\\z_2=(X_2-\mu)/\sigma=(6.15-7)/0.1=-8.5$

Then the probability is

$P(5.90$

b) What is the probability that the resulting pH exceeds 6.10?

We repeat the previous procedure.

$z=(6.10-7)/0.1=-9\\\\P(x>6.1)=P(z>-9)=1$

c) What is the probability that the resulting pH is at most 5.95?

$z=(5.95-7)/0.1=-10.5\\\\P(x$

d. What value will be exceeded by only 5% of all such pH values?

We have to calculate the value of pH for which only 5% is expected to be higher. This can be represented as P(X>x)=0.05.

In the standard normal distribution, it happens for a z=1.645.

$P(z>1.645)=0.05$

Then, we can calculate the pH as:

$x=\mu+z\sigma=7.0+1.645*0.1=7.0+0.1645=7.1645$

4 0

3 years ago