2 years ago

Which triangles must be congruent

Mathematics

1 answer:

VLD [36.1K]2 years ago

5 0

Answer:

1)S.S.S

2)A.S.A

3)S.A.S

4)R.H.S

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A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif

VashaNatasha [74]

Answer:

(A)

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

For any $x$ you are looking for the probability $P(X \geq x)$ which is

$P(X \geq x) = \int\limits_{-\infty}^{x} 1.25(1-t^4) dt = \int\limits_{0}^{x} 1.25(1-t^4) dt = 1.25x - 0.25x^2$

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

5 0

2 years ago

Ariel weighed an object on her balance and recorded a mass of 24.3 grams.Her teacher told her that there was something wrong wit

grin007 [14]

For this case what we can do is the following rule of three:
24.3 -----> 130%
x ---------> 100%
We clear the value of x:
x = (100/130) * (24.3)
x = 18.7 grams
Answer:
the current mass of the object was:
x = 18.7 grams

4 0

2 years ago

If n(A-B)=18,n(AuB)=70 and n(AnB)=25 then find n(B)

svp [43]

n(A-B) denotes elements which are in A but not in B

n(Au B) denotes elements in A and B

n(AnB) denotes elements that are common in A and B

Now I will add one more set

n(B-A) which denotes elements in B but not in A

So, n(AuB) = n(A-B) + n( B-A) +n(AnB)

70 = 18 +n(B-A) + 25

70 = 43 + n(B-A)

n(B-A) = 70-43

n(B-A) = 27

So, n(B) = n( B-A) + n( AnB)

= 27+25

= 52

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2 years ago

Ryan opens a bank account with $50. Each month he deposits an amount that doubles his savings. Ryan gets $2 from the bank each m

irga5000 [103]

50(2+2) i think this is right

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2 years ago

Read 2 more answers

Savanna watches 21 hours of TV per week what is her daily rate

Y_Kistochka [10]

Answer:

3 hours of tv per day

Step-by-step explanation:

there are 7 days in a week

21/7 = 3

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2 years ago