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olganol [36]
3 years ago
9

Why the following triangles are congruent!

Mathematics
1 answer:
noname [10]3 years ago
4 0

Answer:

They have equal ticks and angles. They are congruent because they are equal in all sides and angles.

Step-by-step explanation:

You might be interested in
A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the nint
dsp73

Answer:175

Step-by-step explanation:

1. Turn 28% into a decima: 0.28

2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350

3. Half the amount of ninth grade students:175

7 0
3 years ago
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
lara [203]

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c)  the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

4 0
3 years ago
Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69
anastassius [24]

Answer:

(a) 7.6%

(b) 46.2%    42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}

f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

⇒ 7.6%

(b) Given F(69) = 0.5

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

5 0
3 years ago
ILL BRAINLIEST YOU PLEASE HELP ME
Aleksandr-060686 [28]

Answer:

x = 71/5  (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

Step-by-step explanation:

It's a rectangle so the diagonals are equal

7x - 9 = 2x + 62

Subtract 2x from both sides

5x - 9 = 62

Add 9 to both sides

5x = 71

Divide both sides by 5

x = 71/5  (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

8 0
2 years ago
Read 2 more answers
What is the value of x?
Flura [38]

I think x=9 so 29 plus 7 is 36. I think it is a 36 degree angle. Correct me if im wrong

7 0
3 years ago
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