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3 years ago

A spinner has 14 equal sectors with different letters for each sector, as shown below:

Mathematics

2 answers:

LuckyWell [14K]3 years ago

8 0

The correct answer would be 1/14

Helen [10]3 years ago

3 0

Answer:

1 over 14

Step-by-step explanation:

The sectors labeled are B, Y, G, C, P, F, O, V, M, A, D, E, H, and R.

Total number of sectors = 14.

When Victoria spins the spinner 18 times, and it stops at the letter B 10 times.

When Victoria spins the spinner the theoretical probability that this time it will stop at the letter B = Favourable outcomes ÷total numner of outcomes.

Favourable outcomes =1 and Total number of outcomes = 14.

Hence Theoritical Probability = 1 over 14.

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A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.

12345 [234]

Answer:

1) $G(t) = 75 + \frac{23}{4}t\\$

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

$\frac{150}{2} = 75 gallons$

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

$5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}$

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

$G(t) = 75 + \frac{23}{4}t\\$

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

$G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons$

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0

3 years ago

Which of the following is the coefficient in the algebraic expression ? 8x+z^s

yawa3891 [41]

The coefficient is A. 8

8 0

3 years ago

Read 2 more answers

If f(x)=x^2-3x,find f(-18). Show work

scoundrel [369]

Answer: 378

-------------------------------------
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Work Shown:

f(x) = x^2 - 3x
f(x) = ( x )^2 - 3*( x )
f(-18) = ( -18 )^2 - 3*( -18 ) ... replace every x with -18; now use PEMDAS
f(-18) = 324 - 3*( -18 )
f(-18) = 324 + 54
f(-18) = 378

6 0

3 years ago

there are 5 sodas, 3 grape sodas, 7 root beers, and 8 lemon lime sodas in a cooler. What is the probability of choosing a grape

Margaret [11]

To calculate probability take the events / the outcome.

3 grape sodas / total drinks

You will need to add all the drinks together to get the total drinks
(5 + 3 + 7 + 8 = 23)

3 / 23 is your probability

This ratio cannot be simplified into lowest terms

4 0

3 years ago

Read 2 more answers

what is the hypothesis of the conditional statement? if i can save the money, then i will visit my aunt in spain.

Leni [432]

Answer:

Step-by-step explanation:

The answer would be A because the hypothesis of a conditional statement is the statement after the "if", but before the "then".

4 0

2 years ago