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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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The amount of money, in dollars, in a savings account after x years is given by M(x) = 10,000(1.03)x. What does the value 1.03 r
mr Goodwill [35]

Answer:

Option B) There is a 3 percent increase in the savings account each year.

Step-by-step explanation:

we have

M(x)=10,000(1.03^x)

This is a exponential function of the form

y=a(b^x)

where

M(x) represent the amount of money in a saving account

x represent the number of years

a is the original deposit (y-intercept)

b is the base

r is the rate or percent increase

b=(1+r)

The percent increase per year is the base of the exponential function decreased by 1.

so

r=b-1

In this problem we have

a=\$10,000 ---> original deposit

b=1.03\\r=1.03-1=0.03=3\%

Therefore

The percent increase per year is 3%

7 0
3 years ago
Read 2 more answers
-2y + 6 = -12<br><br> what is the answer??
il63 [147K]

Answer:

9

Step-by-step explanation:

Simplifying

2y + -6 = 12

Reorder the terms:

-6 + 2y = 12

Solving

-6 + 2y = 12

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 2y = 12 + 6

Combine like terms: -6 + 6 = 0

0 + 2y = 12 + 6

2y = 12 + 6

Combine like terms: 12 + 6 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

5 0
3 years ago
Read 2 more answers
Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number.
vagabundo [1.1K]
X^3 - i(x)^2 - 4x + 4i ....
5 0
3 years ago
Sunflower produce approximately 50 seeds per flower. If one ounce of sunflower seeds contain an average of 72 seeds, how many fl
ra1l [238]

Given :

Sunflower produce approximately 50 seeds per flower.

If one ounce of sunflower seeds contain an average of 72 seeds.

To Find :

How many flowers are needed to produce 2 pounds of seeds.

Solution :

1 pound = 16 ounces .

So , 2 pound = 32 ounces .

Number of seeds in 2 pounds of seeds, n = 32×72 = 2304 .

Number of flowers are :

N=\dfrac{2304}{50}=46.08

So , approximate number of flower required are 46.

Hence, this is the required solution.

5 0
3 years ago
The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is close
nirvana33 [79]

Answer:

Width of the pool = 15 yards

Step-by-step explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

(25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216

Taking square root on both sides

\sqrt{w^2}=\sqrt{216}\\w=14.70

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards

3 0
3 years ago
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