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jonny [76]
3 years ago
6

How can you determine that a quadrilateral must be a parallelogram?

Mathematics
1 answer:
Temka [501]3 years ago
3 0
If a quadrilateral has one pair of sides
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Pauline is building a fence around her vegetable garden, what length of fence will she need to build?
Nuetrik [128]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 SEE ATTACHED IMAGE. 
 First we look for the hypotenuse of both triangles.
 Left triangle:
 Sine (68.1) = (1.75) / (h)
 h = (1.75) / Sine (68.1)
 h = 1.886108667
 h = 1.9m
 Right triangle:
 Sine (49.4) = (1.75) / (h)
 h = (1.75) / Sine (49.4)
 h = 2.304841475
 h = 2.3m
 Finally adding the perimeter:
 P = 5 + 1.9 + 2.75 + 2.3
 P = 11.95 m
 Answer: 
 she will need to build 11.95 m of fence

6 0
3 years ago
It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0
3 years ago
Construct a probability distribution for the data.
lianna [129]

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

5 0
3 years ago
Please help asap tysm <333
muminat

Answer:

32 yards and 64 feet

Step-by-step explanation:

just multiply them by 32

6 0
2 years ago
Tony had a certain number of stamps that were each worth $0.15. He misplaced 7 stamps. He found that the total value of his stam
erica [24]
The Value Of S Is 100 or $1.00 or if you add it with the stamp collection then it'll be $6.55. 
6 0
3 years ago
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