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boyakko [2]
3 years ago
6

HELP ME PLZZ I AM GIVING 40 POINTS

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

D. 4/25

Step-by-step explanation:

If you add up all the number of times they picked up a balloon (50 times because 22 + 7 + 8 + 13 = 50) and how many times the orange balloon was chosen (8) then you will get 8/50 and 8/50 simplified is 4/25.

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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So
tatyana61 [14]

Answer:

The probability that at least 13 flights arrive late is 2.5196 \times 10^{-6}.

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........

where, n = number of trials (samples) taken = 18 Southwest flights

           r = number of success = at least 13 flights arrive late

          p = probability of success which in our question is probability that

                flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = <u><em>Number of flights that arrive late</em></u>.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X \geq 13)

P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= \binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}

= \binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}

= 2.5196 \times 10^{-6}.

7 0
3 years ago
What is the first 7 square numbers?
Pani-rosa [81]

1, 4, 9, 16, 25, 36, and 49 because 1*1=1, 2*2=4, 3*3=9, 4*4=16, 5*5=25, 6*6=36, and 7*7=49
8 0
3 years ago
Read 2 more answers
One side of a right triangle is known to be 36 cm long and the opposite angle is measured as 30°, with a possible error of ±1°.
Tju [1.3M]

Answer:

  ±2.18 cm

Step-by-step explanation:

The definition of the sine of an angle (θ) is ...

  Sin = Opposite/Hypotenuse

Then the hypotenuse (h) is found from ...

  h = Opposite/sin(θ)

Differentiating with respect to θ gives ...

  dh/dθ = Opposite×(-cos(θ)/sin²(θ))

For the given numbers, this is ...

  dh/dθ = (36 cm)×(-√3/2)/(1/2)² = -72√3 cm/radian

The error of ±1° corresponds to ±π/180 radians, so the error is estimated to be ...

  error = (dh/dθ)Δθ = (-72√3 cm/radian)(±π/180 radians) = ±0.4π√3 cm

  error = ±2.18 cm

4 0
3 years ago
Which equation represents the line that is parallel to y = 3 and passes through (-2,-8)?
hichkok12 [17]

Answer:

y = - 8

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

The equation of a parallel line must therefore be a horizontal line with equation

y = c

where c is the value of the y- coordinates the line passes through.

Here the line passes through (- 2, - 8) with y- coordinate - 8, thus

y = - 8 ← equation of parallel line

6 0
3 years ago
How do you do 10 th grade math
alexira [117]
Thats 4 plus 4 plus 4
3 0
3 years ago
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