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Ahat [919]
3 years ago
13

The second angle in a triangle is one third as large as the first. The third angle is two thirds as large as the first. Find the

angle measures.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0
First angle 90 degrees

Second angle 30 degrees

Third angle 60 degrees
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Sams bill at a restaurant is $12, and he leaves a 20% tip. What is the total bill including the tip
Setler79 [48]
The tip is $2.40 and the bill is$14.40
4 0
3 years ago
The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun
Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

6 0
3 years ago
Which of the following is a unit of density?
strojnjashka [21]
Kilograms per cubic centimeter
4 0
3 years ago
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Mrs. Greensmith works a PC Richards and earns $35 per week plus a 12% commission o sales. How much would she earn for the week i
n200080 [17]
Answer: $245

she makes $35 every week (her wage, i’m assuming) regardless of how many sales she makes.

in order to find out how much money she makes out of her sales, you have to multiply the percentage commission by how much her sales was: so .12x1750 = $210 from sales.

you then add up her wage and her sales money, so $35 from wage + $210 from sales = $245 total for the week

answer: $245
8 0
2 years ago
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Suppose that nine-digit Social security numbers are assigned at random. If you randomly select a number, what is the probability
Rina8888 [55]

Answer:  0.3 .

Step-by-step explanation:

The digits in number system = 10      ( 0 to 9)

The total different nine-digit Social security numbers  = 10^9  [By Fundamental counting principle]

=1,000,000,000   = 1 billion

Total people in united state = 300 million = 300, 000 ,000

Since each person In US have equal chance to get chosen.

Therefore , if a number is selected randomly  , then the probability that it belongs to one of the 300 million people in the United States :-

=\dfrac{300, 000 ,000}{1,000, 000 ,000}=0.3

Hence, the required probability is 0.3 .

6 0
3 years ago
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