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natta225 [31]
3 years ago
5

A coin will be tossed three times, and each toss will be recorded as heads (

Mathematics
1 answer:
Westkost [7]3 years ago
8 0
T,h,t,h,t,t,h,h,h,t,h,t,h,h
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Write an equation of the line passing through the point (3, -1) and parallel to the line y=2/3x - 5. Show work
alex41 [277]

Answer:

The answer is: y = 2/3x - 3

Step-by-step explanation:

Given point: (3, -1)

Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.

Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:

y - y1 = m(x - x1)

y - (-1) = 2/3(x - 3)

y + 1 = 2/3x - 6/3

y + 1 = 2/3x - 2

y = 2/3x - 3

Proof:

f(3) = 2/3(3) - 3

= 6/3 - 3

= 2 - 3

= -1, giving the point (3, -1)

Hope this helps! Have an Awesome Day!!  :-)

6 0
3 years ago
The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is
Oksi-84 [34.3K]

Answer:

35 min show

Step-by-step explanation:

3.75 / 20 = .1875

5.25 / 35 = .15

you pay less for the 35 min show

can i please get brainliest! :)

5 0
3 years ago
The boiling point of jet fuel is 329 degrees Fahrenheit. Rounded to the nearest degree, what is the temperature in degrees Celsi
djverab [1.8K]

Put the number in the formula and do the arithmetic.

C = (5/9)(329 - 32)

C = (5/9)(297)

C = 165

The temperature in °C is 165.

7 0
3 years ago
Kenny likes to count his money by tiling it on his table as shown. The diameter of a quarter is 24.26 mm. Find the area of the t
ElenaW [278]
First we have to assume that each quarter touched each other. Hence the area of the table not covered by the coins (A) is equal to the total area of the table (At) minus the total area of the coins (Ac). Coins are circle, so A =  \pi  r^{2} and r =24.26mm. The area of one coin is then 1848.98mm^2. Hence the equation is A = At - xAc where x is the number of coins. 
5 0
3 years ago
The taste test for PTC (phenylthiourea) is a common class demonstration in the study of genetics. It is known that 70% of the Am
AysviL [449]

Answer:

The variance for the number of tasters is 4.2

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The variance of the binomial distribution is:

V(X) = np(1-p)

It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20

This means that p = 0.7, n = 20

So

V(X) = np(1-p) = 20*0.7*0.3 = 4.2

The variance for the number of tasters is 4.2

7 0
3 years ago
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