Frederick needs to borrow $3000 for a down payment on a new car. His uncle decided to loan him the money as a 2.1
%
%
loan. Frederick doesn't want to pay more than $189 in interest. How many years does Frederick have to pay back the loan?

Using the binomial distribution, it is found that there is a 0.8202 = 82.02% probability that the shipment will make it through the control check.

For each article, there are only two possible outcomes, either it meets the specifications, or it does not. The probability of an article meeting the specifications is independent of any other article, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

In this problem:

The probability is:

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

Then:

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

[tex]P(X = 8) = C_{10,8}.(0.85)^{8}.(0.15)^{2} = 0.2759[/tex]

[tex]P(X = 9) = C_{10,9}.(0.85)^{9}.(0.15)^{1} = 0.3474[/tex]

[tex]P(X = 10) = C_{10,10}.(0.85)^{10}.(0.15)^{0} = 0.1969[/tex]

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2759 + 0.3474 + 0.1969 =  0.8202[/tex]

0.8202 = 82.02% probability that the shipment will make it through the control check.

For more on the binomial distribution, you can check https://brainly.com/question/24863377

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

Answer:

3

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

25/5 = 5.

3 x 5 / 5+5+5 = 15

15/25 = 3/5

Answer:

25 is the area of ABCD

Step-by-step explanation:

5×5 = 25

Answer:

6.633

Step-by-step explanation:

on a triangle with angle measures of 30, 60, 90, the shortest side will be 'x', second longest will be 'x times square root of 3' and hypotenuse will be '2x'.

in this problem, x is the hypotenuse and x= square root of 11. sorry my explanation sucks. basically, 2× square root 11 = 6.633. again. sorry i made no sense.

let's firstly convert the mixed fractions to improper fractions and then multiply.

[tex]\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}[/tex]

Answer:

i dont know sorry do u know

Answer:

D. 9.55 and 1.10​

Step-by-step explanation:

9.55*1.10=10.505

Then the factors are 9.55 and 1.10​

This is because factors are what makes the product so 9.55 times 1.10​ is 10.505

So D. 9.55 and 1.10​ is correct

Hope this helps!

0.99 /3 = 0.33 per peach

0.33 per peach x 5 peaches = 1.65 total

Answer: $1.65

Answer:

1.65

Step-by-step explanation:

Answer:C TRUST MEEE

Step-by-step explanation:

mark as brainliest

Answer:

5

Step-by-step explanation:

The interquartile range is Q3-Q1.

in this problem, Q3=7 and Q1=2

Answer:

Step-by-step explanation:

Answer:

i think -2.5 -0.3 0.261 2.1

Answer:

d)

Step-by-step explanation:

we know, that i = sqrt(-1)

so, i² = -1

i³ = -i

i⁴ = -i × i = - -1 = 1

i⁵ = i⁴×I = 1×i = i

and the cycle begins again for any higher exponents.

so, we find out what i^n is, by dividing n by 4 and look at the remainder.

remainder = 0, i^n = 1

remainder = 1, i^n = i

remainder = 2, i^n = -1

remainder = 3, i^n = -i

so, what is 139 in this regard ?

139 ÷ 4 = 34

remainder 3

so, i¹³⁹ = -i

a) 322 ÷ 4 = 80

remainder 2. not equivalent.

b) 304 ÷ 4 = 76

remainder 0. not equivalent.

c) 221 ÷ 4 = 55

remainder 1. not equivalent.

d) 239 ÷ 4 = 59

remainder 3. this IS equivalent.

Answer:

a.8

Step-by-step explanation:

y=-16

-16=-2x

16=2x

x=16/2=8

Equations are used to represent functions, and vice versa.

The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

The function is given as:

[tex]\sqrt{6-y^2}=x[/tex]

Square both sides

[tex]6-y^2=x^2[/tex]

Subtract 6 from both sides

[tex]-y^2=x^2 - 6[/tex]

Multiply both sides by -1

[tex]y^2=6 - x^2[/tex]

Take square root of both sides

[tex]y=\sqrt{6 - x^2[/tex]

Express as a function

[tex]f(x) = \sqrt{6- x^2[/tex]

Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

Read more about functions and equations at:

https://brainly.com/question/13336451

Answer:

Its 78,300

Step-by-step explanation:

Answer:

the answer is 95

Answer:

x+-(1)/(2),-3

Step-by-step explanation:

Thank you:)

Answer:

C

Step-by-step explanation:

The slope is: (y2 - y1) ÷ (x2-x1)

In this question y2 is 5, y1 is 8, x2 is 0, and x1 is -3.

5-8=-3

0-(-3)=3

-3 ÷ 3 = -1

the slope is negative 1

Answer:

If you equal it to zero (3x+1=0) it will be x= 1/3

Step-by-step explanation:

Subract the 1 over to the 0 then divide the 3 over.

Answer:

probability = 1/2 or 50%

Step-by-step explanation:

number of red + number of green = 2 + 1 = 3

Probability of landing on a red or green = 3/6 = 1/2

Red

Step-by-step explanation:Red

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

60

Step-by-step explanation:

Answer:

y= (2x)+10

Step-by-step explanation:

if harry has an initial balance of $10 in his bank account, he will have something +10 for the initial 10.

If he adds $2 to his bank account every week, then the amount of money in his bank account (y) can be modeled by the equation

y = (2x)+10

where y represents how much money he has in his bank account and x represents the amount of weeks he is adding $2.

Answer:

1

Step-by-step explanation:

Look at the LHS: you have the square of x, then you have 2 times x, times -1. to complete a square you just need to add the square of -1, that is 1. That becomes

[tex]x^2-2x +1 = (x-1)^2[/tex]

If I am correct, I believe that it is 60