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Marrrta [24]
3 years ago
11

When five standard six-sided dice are rolled, what is the probability exactly two different numbers are rolled?

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0
The probability of this question is1/3
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Find the 8th term of the geometric sequence, given the first term and common ratio. a1=6 r=-1/3
Damm [24]

The rule of a geometric sequence:

a_n=a_1r^{n-1}

We have:

a_1=6;\ r=-\dfrac{1}{3}

Find a_8=?\to n=8

substitute:

a_8=6\cdot\left(-\dfrac{1}{3}\right)^{8-1}=6\cdot\left(-\dfrac{1}{3}\right)^7=6\cdot\left(-\dfrac{1}{2187}\right)=-\dfrac{2}{729}

8 0
3 years ago
Can someone please help me with math for college readiness
bixtya [17]
6.79,7.729,31/4,7+5/6
6 0
3 years ago
Read 2 more answers
To measure the distance across a pond, Sandy and Garrett mark a spot at on
DerKrebs [107]

Answer:

distance across the pond: 13 yd

distance walked by Garret: 12 yd

Step-by-step explanation:

Data:

  • distance across the pond: x yd
  • distance walked by Sandy: 5 yd
  • distance walked by Garret: x-1 yd

A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:

x² = 5² + (x-1)²

x² = 25 + x² - 2x + 1

0 = 26 - 2x

x = 13

4 0
3 years ago
A tourist looks out from the observation deck of the Space Needle in Seattle. The deck is at a height of 520 ft. She sees her fr
evablogger [386]

Answer:

40 feet

Step-by-step explanation:

Given : The deck is at a height of 520 ft. She sees her friend on the ground below at an angle of depression of 85.6 degrees.

To Find : What is the distance between the two? Round your answer to the nearest tenth of a foot.

Solution :

Refer the attached figure

Height of deck =AB =520 ft.

Angle of depression ∠C = 85.6°

We are supposed to find length of BC i.e. distance between two.

We will use trigonometric ratios :

tan \theta = \frac{perpendicular}{base}

tan 85.6^{\circ} = \frac{AB}{BC}

12.99615= \frac{520}{BC}

BC= \frac{520}{12.99615}

BC= 40

Thus the distance between two is 40 feet


7 0
3 years ago
Read 2 more answers
An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 8 times orexactly 5 times?
Kitty [74]

Answer:

Probability to get tails exactly 8 times or exactly 5 times is 0.29

Step-by-step explanation:

No of ways the coins lands tails exactly 8 times

P(8) = 15C8 × 0.5^{8} × 0.5^{15-8}

No of ways the coin lands tails exactly 5 times

P(5) = 15C5 × 0.5^{5} × 0.5^{15-5}

Probability to get tails exactly 8 times or 5 times

P(8)+P(5) =  15C8 × 0.5^{15} + 15C5 × 0.5^{15}

P = 0.5^{15} (  15C8 + 15C5 )

P = 0.5^{15} ( (  \frac{15!}{8!(15-8)!}  ) + ( \frac{15!}{5!(15-5)!} ) )

P = 0.5^{15} ( 6435 + 3003 )

P = 0.5^{15} ( 9438)

P = 0.5^{14} ( 4719)

P =  \frac{4719}{16384}

P = 0.29

8 0
3 years ago
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