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3 years ago

If p is true and q is false, the p-> gis true.

Mathematics

1 answer:

Crazy boy [7]3 years ago

6 0

Answer:

Therefore If p is true and q is false, the p → q is False.

Step-by-step explanation:

' → ' is Conditional or Implication sign

It is the symbol for the connective phrase' If....then '

If 'p' and 'q' are statements then " p→q " it read as p implies q

The Truth Table for Implication is below

p q p→q

True True True

True False False

False True True

False False True

Therefore If p is true and q is false, the p → q is False.

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120 meters of fence are available to build a rectangular pen that is also divided in half by a fence. Let the width of this pen

Kisachek [45]

10 meters by 12 meters.

10 x 12 = 120

cut it in half 10 meters by 6 meters or 5 meters by 12 meters

both equaling out to 60 square meters after being cut in half.

4 0

3 years ago

ACT mathematics score for a particular year are normally distributed with a mean of 27 and a standard deviation of 2 points

oksano4ka [1.4K]

Answer:

A) the probability that a randomly selected score is greater than 29 points is 0.1587

B) The percentage of students scores are between 31 and 23 is 95.44%

C) A student who scores 31 is in the 97.72% percentile

Step-by-step explanation:

ACT mathematics score for a particular year are normally distributed with a mean of 27 and a standard deviation of 2 points.

Part A: What is the probability that a randomly selected score is greater than 29 points?

Part B: What percentage of students scores are between 31 and 23?

Part C: A student who scores 31 is in the ______ percentile.

A) Given that:

Mean (m) = 27 and standard deviation (s) = 2 points

Since the ACT mathematics score is normally distributed, we can use z score. To calculate Z score we use the equation:

$Z=\frac{x-m}{s}$

substituting values:

$Z=\frac{x-m}{s}==\frac{29-27}{2}=1\\Z=1\\$

P(X > 29) = P(Z > 1) = 1 - P(Z<1)

Using Z tables

P(X > 29) = P(Z > 1) = 1 - P(Z<1) = 1 - 0.8413 = 0.1587 = 15.87%

P(X > 29) = 0.1587

the probability that a randomly selected score is greater than 29 points is 0.1587

B) For score of 31

$Z=\frac{x-m}{s}==\frac{31-27}{2}=2\\Z=2\\$

For score of 23

$Z=\frac{x-m}{s}==\frac{23-27}{2}=-2\\Z=-2\\$

P(23 < X < 31) = P(-2 < Z < 2) = P(Z < 2) - P(Z < -2) = 0.9772 - 0.0228 = 0.9544

P(23 < X < 31) = 0.9544 = 95.44%

The percentage of students scores are between 31 and 23 is 95.44%

C) For score of 31

$Z=\frac{x-m}{s}==\frac{31-27}{2}=2\\Z=2\\$

P(X < 31) = P(Z < 2) = 0.9772 = 97.72%

A student who scores 31 is in the 97.72% percentile

3 0

4 years ago

I don't really get it. I think I have the answer but I'm not sooo sure

Sholpan [36]

These angles are equal due to the interior angles rule in which alternating interior angles are congruent
therefore 5x+12=117
5x=105
x=21

4 0

4 years ago

Y-1/3>1/8. why is it 11/24

kykrilka [37]

You have to find the common denominator of the fractions, which is 24. You then have to multiply each fraction so that each fraction's denominator is 24. You multiply 1/8 by 3 to give you 3/24, and multiply 1/3 by 8 to get 8/24. Then, add 8/24 on each side so that you get y by itself. You will get Y>11/24

8 0

3 years ago

WILL MARK BRAINLIEST Solve for y 110 75 100 55

xenn [34]

Answer:

Answer for Y is 100....

3 0

3 years ago

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