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Minchanka [31]
3 years ago
9

What is the expanded form of the number below?

Mathematics
1 answer:
Burka [1]3 years ago
3 0
It is the first one
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What is the probability that 2 randomly selected months have 31 days?
aniked [119]

Answer:

31.8%

Step-by-step explanation:There are 7 months that have 31 days so,

The odds the first selected month has 31 days is 7/12

The next month there are only 6 months left with 31 days of only 11 months to choose from

so the odds for the second are 6/11

To calculate the odds they BOTH  have 31 months you multiply the two odds:

(7/12) x (6/11) = 42/132 = .318 so 31.8%

6 0
3 years ago
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If b = 5, what is b to the square root of 3
liubo4ka [24]
Is 125 because u need to take the 5 and add 3 on the top

6 0
3 years ago
The thickness of a U.S. penny is 5.98 X 10-2 inch.
Aleksandr [31]

Answer: 1.495*10^8\ inches

Step-by-step explanation:

For this exercise you have to remember the Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Let be "x" the height in inches of a stack of 2.5*10^9 pennies.

You know that the thickness of 1 pennie is 5.98*10^{-2}\ inches, then, you can write the following proportion:

\frac{5.98*10^{-2}}{1}=\frac{x}{2.5*10^9}

Solve for "x":

(2.5*10^9)(\frac{5.98*10^{-2}}{1})=x\\\\x=14.95*10^7

To express this height in Scientific notation the decimal point must be after the first digit, so you must move it one place to the left:

x=1.495*10^8

4 0
3 years ago
Jude says that the volume of a square pyramid with base edges of 9.7 in and a height of 9 in is equal to the volume of a cylinde
earnstyle [38]

Answer:

The correct option is;

Yes, his calculations are correct and the volumes for figures are equal

Step-by-step explanation:

The volume, V, of a square  (of side s) pyramid of height h = \frac{1}{3} \times s^2 \times h

Where:

s = 9.7 inches

h = 9 inches

We have;

V = \frac{1}{3} \times 9.7^2 \times 9 = \frac{1}{3} \times 94.09 \times 9 = \frac{1}{3} \times 846.81 = 282.27 \approx 282 \ in^3

The volume, V_c, of a cylinder of radius r = Base area × Height, h = (π×r²)×h

Where:

Base area = π×r²

r = Radius of the cylinder = 5.47 inches

h = Height of the cylinder = 3 inches

V_c = π × 5.47² × 3 = π × 29.9209 × 3 = π × 89.7627 = 281.998 ≈ 282 m³

Therefore, Jude is correct.

4 0
3 years ago
In parallelogram QRST if RU=17 find UT.
kotegsom [21]
Can you repost but with a photo
4 0
3 years ago
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