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3 years ago

The right triangle on the right is a scaled copy of the right triangle on the left. Identify

Mathematics

1 answer:

givi [52]3 years ago

5 0

Answer:

scale factor = $\frac{34}{39}$

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = $\frac{34}{39}$

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Find the measure of <_BCA.

forsale [732]

<BCA+<BCD=180°

m<BCD=116°

<BCA+116°=180°

m<BCA=64°

6 0

3 years ago

Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2

guajiro [1.7K]

Answer:

a.) Average life of a refrigerator

b.) 0.1151

c.) 0.0548

d.) 0.6472225

Step-by-step explanation:

Given that :

Average life before replacement, mean, m = 14 years

Standard deviation, σ = 2 years

A.)

The random variable is the variable which is being measured.

B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?

Fewer than 11 years, P(x < 11)

We need to obtain the Z probability, at P(Z < 11)

The Zscore = (x - mean) / standard deviation

Zscore = (11 - 14) / 2.5 = - 1.2

P(Z < - 1.2) = 0.1151

C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?

More than 18 years, P(x > 18)

We need to obtain the Z probability, at P(Z > 18)

The Zscore = (x - mean) / standard deviation

Zscore = (18 - 14) / 2.5 = 1.6

P(Z > 1.6) = 0.0548

D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?

P(x < 8)

The Zscore = (x - mean) / standard deviation

Zscore = (8 - 14) / 2.5 = - 2.4

P(Z < - 2.4) = 0.0081975

P(x < 15)

The Zscore = (x - mean) / standard deviation

Zscore = (15 - 14) / 2.5 = 0.4

P(Z < 0.4) = 0.65542

P(Z < 0.4) - P(Z < - 2.4)

0.65542 - 0.0081975 = 0.6472225

5 0

3 years ago

A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the second consumed 15 gallons o

OleMash [197]

Answer: the fuel efficiency of the first car is 20 miles per gallon.

the fuel efficiency of the second car is 15 miles per gallon.

Step-by-step explanation:

Let x represent the number of miles per gallon of the first car.

Let y represent the number of miles per gallon of the second car.

During one particular week, the first car consumed 20 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 625 miles. It means that

20x + 15y = 625- - - - - - - - - - 1

The sum of their fuel efficiencies was 35 miles per gallon. It means that

x + y = 35

Substituting x = 35 - y into equation 1, it becomes

20(35 - y) + 15y = 625

700 - 20y + 15y = 625

- 20y + 15y = 625 - 700

- 5y = - 75

y = - 75/ - 5

y = 15

x = 35 - y = 35 - 15

x = 20

4 0

3 years ago

The area of an equilateral triangle with side 2√3 cm is<br><br>Pls fast

irina [24]

Answer:

Given, side of an equilateral triangle is 2√3 cm. Hence, the area of an equilateral triangle is 5.196 cm2.

6 0

3 years ago

Of the eighth graders at the Paxton School, 99 playedbasketball, 9 played volleyball, 10 played soccer, 1 played basketball

otez555 [7]

<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

In the question,

Number of students who played Basketball = 99

Number of students who played Volleyball = 9

Number of students who played Soccer = 10

Number of students who played Basketball and Soccer only = 1

Number of students who played Volleyball and Soccer only = 2

Number of students who played Basketball and Volleyball only = 1

Number of students who played Basketball, Volleyball and Soccer only = 2

So,

We can see from the <u>Venn diagram</u> shown below,

Number of students who played only Basketball = 99 - (1 + 2 + 1) = 95

Number of students who played only Volleyball = 9 - (1 + 2 + 2) = 4

Number of students who played only Soccer = 10 - (1 + 2 + 2) = 5

(a).

Number of students who played atleast one of three sports = Sum of all the sections in the Venn Diagram

= (95 + 1 + 2 + 1) + (4 + 2) + 5 = 110

(b).

Students who played Basketball only = 95

(c).

Number of students who play Volleyball and Soccer but not Basketball = 2

5 0

3 years ago