Pablo wanted to see if a 12-inch straw would fit inside a small retangular box. He noticed that it only fits diagonally. The box has a height of 2 inches and width of 3 inches. What is the length of the box?

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

Multipiciation is the process of combining numbers or vectors together in order to determine their product. Multiplication is represented with this sign: x.

The total cost of attending the college for four years = cost per year x total number of years

$14,500 x 4 = $58,000

To learn more about multiplication, please check: https://brainly.com/question/3385014

Answer:

where is the prism? did u attach a photo of it

Answer:

x=1.082682

Step-by-step explanation:

The original figure will be enlarged by the dilation.

The image and the pre-image will be similar figures.

The corresponding angles of the figures will be congruent.

Dilation is the increase or decrease in the size of a figure by a scale factor k. Dilation produces similar shapes.

If k > 1, this is an enlargement, if k < 1, it is a reduction.

Trevor is dilating a figure on the coordinate plane by a scale factor of 9/5 (>1). Hence:

The original figure will be enlarged by the dilation.

The image and the pre-image will be similar figures.

The corresponding angles of the figures will be congruent.

Find out more on dilation at: https://brainly.com/question/10253650

Answer:

75.2

Step-by-step explanation:

You first multiply 7.72 by 10, which is equal to 77.2. Now it's basic math; subtract 77.2 and 2, it equals to 75.2.

Answer:

0.0772

Step-by-step explanation:

Answer:

A. 73%

Step-by-step explanation:

There are altogether 100 small squares.

73 are shaded.

shaded portion = 73/100 = 73%

Answer:

B

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

After 6 years Carmen has received $6,554.52 in dividends.

Given that  Carmen buys 153 shares of cash consolidated banks each of which pays a constant yearly dividend of $7.14.

The dividend policy in which the percentage of earnings paid in the form of dividends is held constant

The yearly dividend of $7.14 for Carmen buys 153 is given by

153 shares x $7.14 = $1,092.42

Therefore for has carmen received in dividends $1,092.42.

Therefore for 6 years, he received

$1,092.42 x 6 = $6,554.52

Therefore, after 6 years Carmen has received $6,554.52 in dividends.

To learn more about the shares visit:

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The given quadratic equation has no real solutions.

Given quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

The discriminant(D) of a quadratic equation tells about the nature of roots.

If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.

If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.

If [tex]D < 0[/tex],  the roots of the quadratic equation will be imaginary.

Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.

[tex]D=-16 < 0[/tex]

So, the roots of the given quadratic equation will be imaginary.

So, the given quadratic equation has zero real solutions.

Hence, the given quadratic equation has no real solutions.

To get more about quadratic equations visit:

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Answer:

Yes, because the gap is one less than the bigger of the two integers, plus you are adding a little bit more to the bigger integer so the sum will always be bigger than the difference.

Answer:

V≈1649.34

this is the solution

V=πr2h

3=π·152·7

3≈1649.33614

Answer:

x=2

Step-by-step explanation:

hope this helps

not sure if im right <3

Answer:

B. 57.87 kilometers

Step-by-step explanation:

Since Jason walked the trail 9 times, we multiply the length of the trail by the times he walked.

So, 6.43 x 9.

This is equal to 57.87.

Answer:

A = 35
B = 100
C = 25

Step-by-step explanation:

All interior angles in a triangle add up to 180 degrees.
x + 65 + x + 25 = 180
2x + 110 = 180
2x = 70
x = 35

Answer (1):

A=45 B=110

Step-by-step explanation (1):

So the inner degrees has to equal 180.  So you would do this:

[tex](x+65)+x+25=180\\2x+90=180\\2x=90\\x=45[/tex]

Now substitute 45 for x and check.

[tex]45+65=110\\110+45+25= < ABC\\180= < ABC[/tex]

Answer (2):

126 degrees.

Step-by-step (2):

Like I said before, the inner degrees has to equal 180.  We would write another equation.  By the way, the red square is for 90 degrees.

[tex](5x-6)+3x+90=180\\8x+84=180\\96=8x\\x=12[/tex]

Now substitute 12 for x.

Also to find the anterior angle, we would add the 90 and the 3x[tex]3(12)=36\\90+36=126\\126+(5x-6)=180\\120+5x=180\\180=180[/tex]

Answer:

3.90 sq cm

Step-by-step explanation:

[tex]A_{equilateral\: \triangle} = \frac{ \sqrt{3} }{4} \times {(side)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {(3)}^{2} \\ \\ = \frac{9 \sqrt{3} }{4} \\ \\ = 3.89711432 \: {cm}^{2} \\ \\ \approx \: 3.90 \: {cm}^{2} [/tex]

Answer:

60%

Step-by-step explanation:

(4-2.5):2.5*100 =

(4:2.5-1)*100 =

160-100 = 60

Answer:

  (1/2, -8 1/2)

Step-by-step explanation:

The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...

  (A' -C) = 3(A -C)

__

Solving for C gives ...

  A' -C = 3A -3C

  2C = 3A -A' . . . . . . . add 3C-A'

  C = (3A -A')/2

Filling in the given coordinates for A and A', we find the center of enlargement to be ...

  C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2

  C = (1/2, -8 1/2)

The center of enlargement is (1/2, -8 1/2).

Answer:

what do you need help with

Step-by-step explanation:

Answer:

SAME

Step-by-step explanation:

I am so happy someone else goes through this! I'm SO happy I'm not alone.

Step-by-step explanation:

angle pqs = angle qsr (alternate interior angles are equal in a parallelogram).

thus,

angle qsr = 58 degrees

Answer:

[tex] \: [/tex]

Step-by-step explanation:

And, it is given that the measure of ∠PQS is 58°.

So,

[tex] \bf \qquad∠QSR = ∠PQS \\ \\ [/tex]

[tex] \bf \qquad \implies∠QSR = 58° \: \: [Alternate \: interior \: angles] \\ \\ [/tex]

Let's know something about Alternate interior angles :

Answer: Below

Step-by-step explanation:

So let's actually make a readable expression first.

[tex]\frac{8\sqrt{3} }{\sqrt{5} }[/tex]

We first want to rationalize denominators (turning the denominator into an integer),so multiply both the numerator and denominator by sqrt(5). This method is called the big one, and doesn't change an expression since sqrt(5)/sqrt(5) = 1.

[tex]\frac{8\sqrt{3} }{\sqrt{5} } * \frac{\sqrt{5} }{\sqrt{5} } = \frac{8\sqrt{3}\sqrt{5} }{5} = \frac{8\sqrt{15} }{5 }[/tex]

This is our simplified equation.

Answer:

4/663

Step-by-step explanation:

Since the first card is set aside after being drawn, this is dependent probability.
There are 4 kings in 1 deck of 52 cards.
Therefore the probability of choosing a king is 4/52 = 1/13.

But after choosing 1 card from the deck, there are now 51 cards in the deck. There are 4 queens in the deck of 51 cards. Therefore the probability of choosing a queen is 4/51.

To determine the probability of choosing both, multiply the 2 probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Answer:

1/13

Step-by-step explanation:

once you simplify and finish that is the simplified answer

Answer:

AD = 44 and angle CAB = 90 degrees

Step-by-step explanation:

since the shape is a rectangle, all corner angles must be 90 degrees. so CAB is also 90 degrees.

the length of half of BC is 22, so the full length of BC is 44. using symmetry, AD should also be 44.

byebye!<3

Answer:

B is the answer Hope this helps

Answer:

Step-by-step explanation:

In the question we are given with ,

And we are asked to find the perimeter of rectangle . As we know that ,

[tex] \red {\boxed{\rm{Perimeter \: of \: rectangle = 2 ( L + W ) }}}[/tex]

Where ,

Substituting values of length and width in formula :

[tex] \longmapsto \: 2(28 + 9)[/tex]

Step 1 : Solving the parenthesis :

[tex] \longmapsto \: 2(37)[/tex]

Step 2 : Multiplying 2 and 37 :

[tex] \longmapsto \: \red{ \boxed{74 \: cm}}[/tex]

In the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

[tex]a+bi[/tex]

Here, (a) is the real part while (b) is the imaginary part.

The difference of two number is given as,

[tex]4-10i[/tex]

Compare it with the real number form, we get,

[tex]a=4\\b=-10[/tex]

Thus, in the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

Learn more about the complex number here;

https://brainly.com/question/2218826

Answer:

4 and then -10i

Step-by-step explanation:

Found correct in Edge.

[tex]\left(\sqrt[6]{2xy^5}\right)^7\\\\\\=\left[\left( 2xy^5\right)^\tfrac 16 \right]^7\\\\\\=\left(2xy^5\right)^{\tfrac 76}[/tex]

Answer:

55 square inches.

Step-by-step explanation:

Total Area = area of the triangular roof + area of the rectangular wall

= 1/2 * 10 * 3 + 5 * 8

= 15 + 40

= 55..

Answer:

300

Step-by-step explanation:

rounding to hundreds place means you look at the middle digit in this case. If the digit is 5 or greater, then you round your first digit up, but in this case the number (4) is less than 5, we round down. By rounding down we would get 300.

Answer:

Check the attachment of solution.

Answer:

Step-by-step explanation:

Proving the triangles are similar

Taking the sides in proportion