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Natalka [10]
3 years ago
6

The math test has 10 multiple choice questions, each with 3 answers. If Betty guesses correctly on the first 3 questions, what i

s the probability that she will guess correctly on the fourth question?
Mathematics
2 answers:
Roman55 [17]3 years ago
5 0
I would say that Betty will have a probability to guess 1/3 on the fourth question due to the test only having 10 multiple choice questions with three answers. 
alukav5142 [94]3 years ago
4 0

Answer: \dfrac{1}{3}

Step-by-step explanation:

Given: The number of multiple choices to each question = 3

We know  that in multiple choice question there is only one answer is correct .

Then the probability that she will guess correctly on any question is given by :-

=\dfrac{\text{Correct choice}}{\text{Total choices}}\\\\=\dfrac{1}{3}

Hence, the  the probability that she will guess correctly on the fourth question = \dfrac{1}{3}

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Find the exact value of the 8th term of the geometric sequence: 648,216,72,24
VLD [36.1K]
The sequence multiplies by 1/3.
Using the formula for a geometric sequence:
a(n) = a(1) * r^(n-1)
So...
a(n) = 648 * (1/3)^(n-1)
Plugging in 8 for n produces:
a(n) = 648 * (1/3)^(7)
Using a calculator, I find the answer to be 0.296296296... 
6 0
3 years ago
A cylinder has slant length of 26 and radius of 10 what is the volume
Aleksandr-060686 [28]

Answer:

8168.14

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I'm stuck on these 2 questions.
BigorU [14]
The first answer is 3/20. All you have to do is plug "3/10" in for s and mutiply straight across.

The second answer is 2/3. Think of 6 as 6/1. Then multiple straight across which is 12/18. Then simplify to get 2/3.
3 0
4 years ago
Read 2 more answers
Jill invests a sum of money in a savings account with a fixed annual interest rate of 7.30% compounded 4 times per year. After 6
weeeeeb [17]

Answer:

$5499

Step-by-step explanation:

The interest of $100 for 1 year is $7.30.

So, the interest for $100 for 4 months is 7.30/4 =$1.825.

Now, there are (6×4) =24 quarters in 6 years.

If the sum of money invested is $x, then it will grow up to $8487.70 at a rate of 1.825% interest quarterly after 6 years.

Therefore, we can write x[1+\frac{1.825}{100}] ^{24}= 8487.70

⇒ x[1.5435] =8487.70

⇒ x = 5499  

Therefore, the amount of initial investment is $5499. (Answer)

7 0
3 years ago
7x+16=8x+15 solve for x and y
elena55 [62]

Answer:

x = 1

Step-by-step explanation:

7x + 16 = 8x + 15

<u>Step 1</u> : Subtract 15 on both sides

7x + 16 - 15 = 8x

7x + 1 = 8x

<u>Step 2</u> : Subtract 7x on both sides

1 = 8x - 7x

1 = 1x

x = 1

8 0
2 years ago
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