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grigory [225]
3 years ago
9

A number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled 24 times. About how many times would it be expected that a 2 or a

5 is rolled?
A.
2

B.
4

C.
6

D.
8
Mathematics
2 answers:
Debora [2.8K]3 years ago
8 0
Well, since this is expected, and not experimental, each side has a fair chance of being rolled, which is 1/6 of the time, which is 4/24 rolls. So since we have 2 numbers to expect, we do 4+4 = 8, and 8/24 = 1/3. So, <u>getting a 2 or 5, we have a 1/</u><u>3 chance,</u> which was <u>8/24 before we simplified it</u>. Hope this helped!
REY [17]3 years ago
8 0

Answer:

1/3 of a chance

Step-by-step explanation:

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the
Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= \pi r^2h

According to the problem,

\pi r^2 h=25

\Rightarrow h=\frac{25}{\pi r^2}

The surface area of the base of the can is = \pi r^2

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× \pi r^2)

The lateral surface area of the can is = 2\pi rh

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× 2\pi rh)

                                                 =\$2.5 \pi r h

Total cost of metal is C= 2.00 \pi r^2+2.5 \pi r h

Putting h=\frac{25}{\pi r^2}

\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}

\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}

Differentiating with respect to r

C'=4\pi r- \frac{62.5}{ r^2}

Again differentiating with respect to r

C''=4\pi + \frac{125}{ r^3}

To find the minimize cost, we set C'=0

4\pi r- \frac{62.5}{ r^2}=0

\Rightarrow 4\pi r=\frac{62.5}{ r^2}

\Rightarrow  r^3=\frac{62.5}{ 4\pi}

⇒r=1.71

Now,

\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0

When r=1.71 cm, the metal cost will be minimum.

Therefore,

h=\frac{25}{\pi\times 1.71^2}

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0
3 years ago
a number has seven digits. all the digits are 6 except the hundred-thousands' digit, which is 2, and the thousands' digit, which
klio [65]

Answer:

264,666.

Step-by-step explanation:

We have been given that a number has seven digits.

All digits are 6 except the hundred-thousands' digit.

Hundred thousands: 100,000.

The hundred thousand's digit is 2, so its value would be 200,000.

We have been given that thousands's digit is 4, so its value would be:

4 thousands: 4,000

The number with given hundred thousand's and thousands's digit would be 204,000.

Since all digits are 6 except the hundred-thousands' digit, therefore, our number would be 264,666.

6 0
3 years ago
$5000 at 6% for 9 months what is the balance
Kay [80]
I think it's suppose to go

6% is .06 divided by 12 which is .005 times the number of months so in this case 9 so 5,000 times .005 times 9 which is 225 so 5,000 plus an interest of 225 adds up to 5,225
8 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?
OleMash [197]
Answer: 280
to find volume it's Length x Width x Height
8x7x5 = 280
4 0
2 years ago
Find the area of the figure
crimeas [40]
Try this way:
S=S₁-S₂, where S - area of the figure, S₁ - area of the triangle, S₂ - area of the quadrangle.
S=0.5*(5+2)*(5+4)-2*4=31.5-8=23.5 in.²

Answer: 23.5 in.²
8 0
3 years ago
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