Mark bought a jewelry box in the shape of a cube. The jewelry box has edge lengths of 6 inches. What is the surface area of the jewelry box?

The probability that Peter will pass the quiz is given by the option 3: 0.0035

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

For the considered case, the problem's statement is missing some facts.

They are:

Number of multiple choice questions in test = 10

Peter uses guessing for answering the questions.

To pass the test, Peter needs to get at least 7 correct answers.

Some probabilities on left are:

Let X be the number of questions peter gets correct in his test.

Then, the probability that he will pass the test is denoted as:

[tex]P(X \geq 7)[/tex]

This can be rewritten as:

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)\\P(X \geq 7) =0.0031 + 0.000386 + 0.0000286 + 0.000000954 = 0.003515554[/tex]

This is approximately 0.0035

Thus, the probability that Peter will pass the quiz is given by the option 3: 0.0035

Learn more about binomial distribution here:

https://brainly.com/question/13609688

Answer:

8

Step-by-step explanation:

Area = 1/2(Base×Height)
24 = 1/2(6×)

therefore = 8

Hope this helps!!!!!

Answer:

you multiply 3 7/10 by 5 and you get 18.5 turned into an improper fraction is 37/2 as a proper fraction it is 18 1/2

Step-by-step explanation:

let me know if I'm wrong

Answer:

11,550

Step-by-step explanation:

3710 × 5 = 11,500.

Answer:

Well you need a picture and we need to know Length Height and width!

Answer:

$6.17

Step-by-step explanation:

Divide 30.85 by 5 to get the price of each book. Each book was $6.17

I hope this helped

Answer:

Step-by-step explanation:30.85/5=6.17

you can round up to $6.20

Answer:

56, 112, 168, 224, 280, 336, 392, 448, 504, and 560.

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

Irresponsible and 0 siblings (5) over total (18)

5/18 doesn't simplify

Answer:

17/25

Step-by-step explanation:

68/100

divided by 2

34/50

divided by 2

17/25

and 17/25 is as simplified as it's going to get.

Answer:

D.  18,000(0.97)^x

First, let's look at everything we know from reading the question.

We know that y = the population

We know that x = the number of years

We know the population starts at 18,000

We know the population is decreasing at a rate of 3% each year

Since the population is decreasing by 3%, the population will be 0.97 times the previous population each year.

This is because 100 - 3 = 97

That means we can make part of the equation.

y = 18,000(0.97)

Now, do we do 0.97^x or 0.97x?

Well, if we did 0.97x, it would look something like this

If x = 2

0.97(2) = 1.94

That means that, by 2 years, the population would be increasing when it should be decreasing

Now let's try 0.97^x

if x = 2

0.97^2 = 0.9409

That makes sense because the population would be decreasing by a slightly larger amount each time.

So, our final equation is

D.  18,000(0.97)^x

Lets check

[tex]\\ \rm\longmapsto P(1-r)^t[/tex]

[tex]\\ \rm\longmapsto P(1-0.03)^t[/tex]

[tex]\\ \rm\longmapsto 18000(0.97)^t[/tex]

Josh's father is 54.

Let Josh's father's age be x.

x/3 - 12 = 6

x/3 = 18

x = 54

Answer:

5, 6 are the solutions

step-by-step explanation:

Here, the cost of attending the festival is constant, the bottles of hot sauce keeps changing until less amount of money reached.

Inequality:

5h + 16 = 50

5h = 50 - 16

5h = 34

h = 34/5

h = 6.8

So, he can buy max or less than 6 bottles of hot sauce.

Answer: 130, sorry if its wrong

Step-by-step explanation:

8 x 5 = 40 --> 40 x 3 1/4 = 130

Answer:

r=1.27m

Step-by-step explanation:

volume of sphere = 8.6 cubic metre

[tex]4 \div 3\pi \: r ^{3} = 8.6[/tex]

[tex]4 \div 3 \times 3.14 \times r ^{3} = 8.6[/tex]

[tex] {r}^{3} = 8.6 \times 3 \div 12.56[/tex]

[tex] {r}^{3} = 25.8 \div 12.56[/tex]

[tex]r \: = \sqrt[3]{2.054} [/tex]

[tex]r \: = 1.27m[/tex]

Answer:

(a) 0

zero property

b) 7

communative property

c) 4

Identity Property

d) 8

associative property

Answer:

f=4

Step-by-step explanation:

so, when we do this problem notice that there is a variable this can mean a lot of things but in this case, it just means were solving for f so we first move the constant (5) to the right-hand side and change its sign then we subtract 33 from 5 to get 28 so the equation would look like 7f = 33-5

to get 7f = 28 and now for the last step you divide both sides of the equation to get f = 4

Hope this helped :)

[tex] {x}^{2} - 8 = 8 \\ [/tex]

x^2 - 8 + 8 = 8 + 8

x^2 = 16

x = √16

x = 4

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

[tex] \blue{ {x}^{2} - 8 = 8}[/tex]

[tex] \purple{ {x}^{2} - 8 + 8 = 8 + 8}[/tex]

[tex] \red{ {x}^{2} = 16}[/tex]

[tex] \green{ \sqrt{ {x}^{2} } = \sqrt{16} }[/tex]

[tex] \pink{x = 4}[/tex]

Answer:

c

Step-by-step explanation:

it’s equal

Answer:

17.16

Step-by-step explanation:

So if the area of the rectangle is 8.8*3.9=34.32, L*W=H, then the triangle which has the same length and width, would have L*W*1/2. If you fill in the variables, then you would get 8.8*3.9*1/2=17.16. You can do this on any calculator, and please put my answer as the brainliest.✌

Answer:

94.151235691823 exactly

Step-by-step explanation:

Answer:

tastes like *inhale* pennies :>

Step-by-step explanation:

lol-

Answer: 134

Step-by-step explanation:

Answer:

6 7/8

Step-by-step explanation:

Answer:

Hi I'm always here to help!!

______________________

(42 − (18 ÷ 9)) × (4 ÷ 2)

(16 – 2) × 2

14 × 2

28

______________________

Have a great day!!!

Answer:

-5

Step-by-step explanation:

Moving all terms of the quadratic to one side, we have

[tex]x^2-2x-(c+4)=0[/tex].

A quadratic has one real solution when the discriminant is equal to 0. In a quadratic [tex]ax^2+bx+d[/tex], the discriminant is [tex]\sqrt{b^2-4ad}[/tex].

(The discriminant is more commonly known as [tex]\sqrt{b^2-4ac}[/tex], but I changed the variable since we already have a [tex]c[/tex] in the quadratic given.)

In the quadratic above, we have [tex]a=1[/tex], [tex]b=-2[/tex], and [tex]d=-(c+4)[/tex]. Plugging this into the formula for the discriminant, we have

[tex]\sqrt{(-2)^2-4(1)(-(c+4))[/tex].

Using the distributive property to expand and simplifying, the expression becomes

[tex]\sqrt{4-4(-c-4)}=\sqrt{4+4c+16}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{20+4c}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{4}\cdot\sqrt{5+c}\\~~~~~~~~~~~~~~~~~~~~~~=2\sqrt{c+5}.[/tex]

Setting the discriminant equal to 0 gives

[tex]2\sqrt{c+5}=0[/tex].

We can then solve the equation as usual: first, divide by 2 on both sides:

[tex]\sqrt{c+5}=0[/tex].

Squaring both sides gives

[tex]c+5=0[/tex],

and subtracting 5 from both sides, we have

[tex]\boxed{c=-5}.[/tex]

Answer:

86.5 square inches

Step-by-step explanation:

Area of circle: pi*r^2

10.5in /2= 5.25in

5.25^2=27.5625

27.5625*3.14=86.54625

rounded 86.5 in

Answer:

40 percent. Hope this helps : )

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

to change a fraction to a percentage, multiply the fraction by 100)

[tex]\frac{2}{5}[/tex] × 100% ( cancel 5 and 100 by 5 )

= 2 × 20%

= 40%

Answer:

(5, - 3 )

Step-by-step explanation:

the opposite to translation rule (- 5, 3 ) is

(5, - 3 ) ← the negative of each of the coordinate points

Question

What is the quotient of 2.538 x 109 and 2.7 x 102 expressed in scientific notation?

Answer:

Step by step explanation:

2.538 x 109

2.538

109

————×

2142

0000

2538

————+

276.642

2.7 x 102

2.7

102

————×

275,4

276.642 + 275,4 =276.917,4

sorry if wrong

For a graph to move up, we must add the value of how much we want to move up outside the function.

So if the original graph [tex]f(x) = x^2[/tex], thus [tex]g(x) = x^2 + 2[/tex]

Hope that helps!