Catherine has an unpaid balance on her credit card of $345.38. She has new charges of $195.65 this month and her monthly interest rate on the unpaid balance is 1.75%. What is the total balance on her monthly bill (to the nearest whole cent)?
$561.90
$555.55
$550.50
$570.08
None of these choices are correct.

Answer:

a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) 0.0035 = 0.35% probability of passing.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 multiple choice questions

This means that [tex]n = 10[/tex]

4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

a) Probability of marking exactly 3 incorrect answers.

3 incorrectly = 7 correctly, so this is P(X = 7).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) Probability of passing

At least 7 correct, so

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]

[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]

[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]

0.0035 = 0.35% probability of passing.

Answer:

A

Step-by-step explanation:

As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.

Answer:

-8 and 5

Step-by-step explanation:

-8 × 5 = -40

-8 + 5 = -3

Answer:

1) 55 2)60-80 3)95 4)92.5(mean), 92.5 (median), 95 (mode) 5) the outlier greatly offsets the data as it is no where near the other data points.

Step-by-step explanation:

Answer:

x = 3.1

Step-by-step explanation:

Subtract 6.3 - 3.2 to find the value of x. You get 3.1.

Hope it helps!

Answer:

Step-by-step explanation:

(19 - 7)/(6 - 2) = 12/4= 3

y - 7 = 3(x - 2)

y - 7 = 3x - 6

y = 3x + 1

Answer:

800 feet i think but is this the full question

Step-by-step explanation:

Answer:

I think a

Step-by-step explanation:

Answer:

-x=-6

x=6

7(6)+2y=24

42+2y=24

2y=24-42

2y=-18

y=-9

Step-by-step explanation:

Answer:

x=100

Step-by-step explanation:

x+23+57=180

x+80=180

x=100

Answer:

126

Step-by-step explanation:

The supplement of 54° is the angle that when added to 54° forms a straight angle (180° ). So,

54 + x = 180

x = 126

Answer:

Slope is 0

Step-by-step explanation:

Simplify to get y= -27

then you can see that the slope is 0

Hope it helps :)

Answer:

For every 7 toys, there are 5 toy cars.

For every 7 toys, there are 2 toy airplanes.

For every 5 toy cars, there are 2 toy airplanes.

Step-by-step explanation: For anyone who is interested, there is 5 toy cars and 2 toy airplanes. 5+2 = 7. (That equals the total amount of toys) Using that information, A and B would be incorrect.

Answer:

Equity is same as equility it is for making students fools.

Step-by-step explanation:

Equity=Equality

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

Learn more about sine law, click;

https://brainly.com/question/17289163

#SPJ7

Answer:

t = mqv/s

Step-by-step explanation:

see pic for explanation

Answer:

you would divide -> 51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Answer:Divide  51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Rational numbers are numbers that can actually be written down and end at some point, such as 3, 4, 6, 10, etc. Some numbers that aren't rational are numbers like π, which are never-ending.

Answer:

Your answer is A

Step-by-step explanation:

The graph of y = f(x) will shift left 2 units.

Answer:

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

72+12x=120 and when you isolate x you get x=4

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

question I don't understand what you want to be done herewhat's the q

Answer:

b

Step-by-step explanation:

f(x) = -9x² + 2x + 2

Discriminant = 2² - 4(-9)(2) = 76

The discriminant is positive, so there are two distinct roots.

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

Answer:

5/8

Step-by-step explanation: