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3 years ago

Triangle ABC what is the measurement of Angle C on degrees if Angle A is 32.8° and Angle is 80°.

Mathematics

1 answer:

svp [43]3 years ago

7 0

Answer:

10.8°degrees

Step-by-step explanation:

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Mrs.Jenning had 5/7 gallon of paint. She gave 1/7 gallon each to some students. How many students received paint if Mrs.Jennings

yKpoI14uk [10]

Answer:

The number of students who received the paint=5 students

Step-by-step explanation:

Step 1: Determine amount given to each student

Quantity per student=1/7 gallon per student

Step 2: Determine the total amount of paint Mrs. Jennings had

The total quantity of paint Mrs. Jennings is:

Initial quantity of paint=5/7 gallon

Step 3: Calculate number of students who received the paint

The number of students who received the paint can be expressed as;

Initial quantity of paint=Quantity per student×number of students

where;

Initial quantity of paint=5/7 gallons

Quantity per student=1/7 gallons

number of students=n

replacing;

5/7=(1/7)×n

n=(5/7)×7

n=5

The number of students who received the paint=5 students

4 0

3 years ago

Hayden bought 48 new training cards.Three Fourths of the new cards are baseball cards.How many baseball cards did he buy?

Nina [5.8K]

48/4 is 12. 3*12 is 36. So Hayden has 36 new baseball cards.

7 0

4 years ago

Suppose that only 20% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

Lina20 [59]

Answer:

a) 91.33% probability that at most 6 will come to a complete stop

b) 10.91% probability that exactly 6 will come to a complete stop.

c) 19.58% probability that at least 6 will come to a complete stop

d) 4 of the next 20 drivers do you expect to come to a complete stop

Step-by-step explanation:

For each driver, there are only two possible outcomes. Either they will come to a complete stop, or they will not. The probability of a driver coming to a complete stop is independent of other drivers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of all drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible.

This means that $p = 0.2$

20 drivers

This means that $n = 20$

a. at most 6 will come to a complete stop?

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115$

$P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576$

$P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369$

$P(X = 3) = C_{20,3}.(0.2)^{3}.(0.8)^{17} = 0.2054$

$P(X = 4) = C_{20,4}.(0.2)^{4}.(0.8)^{16} = 0.2182$

$P(X = 5) = C_{20,5}.(0.2)^{5}.(0.8)^{15} = 0.1746$

$P(X = 6) = C_{20,6}.(0.2)^{6}.(0.8)^{14} = 0.1091$

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0115 + 0.0576 + 0.1369 + 0.2054 + 0.2182 + 0.1746 + 0.1091 = 0.9133$

91.33% probability that at most 6 will come to a complete stop

b. Exactly 6 will come to a complete stop?

$P(X = 6) = C_{20,6}.(0.2)^{6}.(0.8)^{14} = 0.1091$

10.91% probability that exactly 6 will come to a complete stop.

c. At least 6 will come to a complete stop?

Either less than 6 will come to a complete stop, or at least 6 will. The sum of the probabilities of these events is decimal 1. So

$P(X < 6) + P(X \geq 6) = 1$

We want $P(X \geq 6)$ . So

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0115 + 0.0576 + 0.1369 + 0.2054 + 0.2182 + 0.1746 = 0.8042$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.8042 = 0.1958$

19.58% probability that at least 6 will come to a complete stop

d. How many of the next 20 drivers do you expect to come to a complete stop?

The expected value of the binomial distribution is

$E(X) = np = 20*0.2 = 4$

4 of the next 20 drivers do you expect to come to a complete stop

4 0

4 years ago

Each unit on a coordinate plane represents 1 mile. One end of the road starts at (212,23). The road ends at (6,23). How long is

olya-2409 [2.1K]

Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(212,23)...x1 = 212 and y1 = 23
(6,23)......x2 = 6 and y2 = 23
now we sub
d = sqrt ((6 - 212)^2 + (23 - 23)^2)
d = sqrt ((- 206)^2 + (0^2))
d = sqrt (42436 + 0)
d = sqrt 42436
d = 206 miles <==

4 0

4 years ago

I need more help I dont understand these letters and numbers

svetlana [45]

Answer:

Width also known as (W) = 1.5 meters

Area also known as (A) = 6 square meters

Length also known as (L) = ?

the formula to find Length is:

Step-by-step explanation:

$L=\frac{A}{W}$

$L = \frac{6}{1.5}$

$L= 4 m$

Choice 3 is the answer

1.5x = 6

x=4

substitute 4 for the x

1.5(4)=6

1.5×4 = 6

6=6

so the answer is

1.5x=6

x=4

8 0

3 years ago

Read 2 more answers

Triangle ABC what is the measurement of Angle C on degrees if Angle A is 32.8° and Angle is 80°.​

Triangle ABC what is the measurement of Angle C on degrees if Angle A is 32.8° and Angle is 80°.