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2 years ago

Simplify 7 to 6th power to 7 to the 5th power

1 answer:

5 0

If we’re simplifying this you simply just wanna add the exponents and keep the same base.

So the answer would be 7^11

I hope I’m right and this helps!
Hope this help!

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Suppose that two cards are randomly selected from a standard 52-card deck. (a) What is the probability that the first card is

ser-zykov [4K]

Answer:

(a) $\frac{1}{17}$ (b) $\frac{1}{16}$

Step-by-step explanation:

GIVEN: Suppose that two cards are randomly selected from a standard $52$ card deck.

TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without replacement? (b) What is the probability that the first card is a club and the second card is a club if the sampling is done with replacement.

SOLUTION:

(a)

Probability that first card is club $P(A)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{13}{52}$

$=\frac{1}{4}$

As sampling is done without replacement.

probability that second card is club $P(B)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{12}{51}$

$=\frac{4}{17}$

Probability that first card is club and second card is club $=P(A)\times P(B)$

$=\frac{1}{4}\times\frac{4}{17}=\frac{1}{17}$

(b)

Probability that first card is club $P(A)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{13}{52}$

$=\frac{1}{4}$

As sampling is done with replacement.

probability that second card is club $P(B)=\frac{\text{total club cards}}{\text{total cards}}$

$=\frac{13}{52}$

$=\frac{1}{4}$

Probability that first card is club and second card is club $=P(A)\times P(B)$

$=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$

3 0

2 years ago

What is 1396500000 as a scientific notation. PLEASE I NEED NOW!!!!!! THANK YOU!!

Llana [10]

Answer:

1.3965*10^9

Step-by-step explanation:

5 0

2 years ago

Find the volume of a cone with a base radius of 3 cm and a height of 9 cm

katovenus [111]

The volume of a cone is 84.78 cm

Step-by-step explanation:

Given:

radius = 3 cm and

height = 9 cm

To Find:

The Volume of a Cone

Formula:

The Formula for the volume of a cone is

V=πr2 *h/3

Solution:

V=πr2 *h/3

π value is 3.14

V= 3.14*(3)^2*9/3

V=3.14*9*3

V= 84.78 cm

Therefore the volume is 84.78 cm.

5 0

3 years ago

Simplest way to multi-step equations...

Bess [88]

Answer: calculator boi

Step-by-step explanation:

4 0

2 years ago

The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.

mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = $\frac{1}{2}(b_1+b_2)h$

where $b_1$ and $b_2$ are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = $\frac{1}{2}(11+12)\times 6$

= 69 m²

Area of the rectangle (2) = Length × Width

= 12 × 15

= 180 m²

Area of the trapezoid (3) = $\frac{1}{2}(12+10)\times 11$

= 121 m²

Now area of the wall = 69 + 180 + 121

= 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = $\frac{\text{Total area}}{\text{Area covered by one tin}}$

= $\frac{370}{25}$

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

= £105

8 0

2 years ago

Simplify 7 to 6th power to 7 to the 5th power​

Simplify 7 to 6th power to 7 to the 5th power