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Verizon [17]
3 years ago
5

A stack of 20 coins contains only nickels and

Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

Answer:

16 quarters and 4 nickels

4×25=1.00 × 4 = 4.00 4×4=16-quarters

20-16=4-nickels

Step-by-step explanation:

Hope this helps!

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The measures of the interior angles of a quadrilateral add up to 360 degrees, so make angles A, B, C, and x add up to 360 in an equation and solve for x, the missing angle.

(80) + (98) + (70) + x = 360

Combine like terms.

248 + x = 360

Subtract 248 from both sides.

x = 112

C) 112 degrees

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Bad gums may mean a bad heart. Researchers discovered that 79% of people who have suffered a heart attack had periodontal diseas
zysi [14]

Answer:

(A) 0.297

(B) 0.595

Step-by-step explanation:

Let,

H = a person who suffered from a heart attack

G = a person has the periodontal disease.

Given:

P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.15)+(0.33\times(1-0.15))\\=0.399

(A)

The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.15}{0.399} \\=0.29699\\\approx0.297

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.

(B)

Now if the probability of a person having a heart attack is, P (H) = 0.38.

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.38)+(0.33\times(1-0.38))\\=0.5048

Compute the probability of a person having a heart attack given that he or she has the disease:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.38}{0.5048}\\ =0.59469\\\approx0.595

The probability of a person having a heart attack given that he or she has the disease is 0.595.

4 0
3 years ago
What is the greatest common factor of 9 and 14?
Morgarella [4.7K]

Answer:1

Step-by-step explanation:

"Greatest Common Factor of 9 and 14. Greatest common factor (GCF) of 9 and 14 is 1."

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Step-by-step explanation:

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