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3 years ago

Fill in each box with the correct number or variable.

Mathematics

1 answer:

Licemer1 [7]3 years ago

4 0

Answer:

8 would be there.

Step-by-step explanation:

am sorry i cant explain cause my battery is really low

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

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

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = A random variable

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$

= $1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}$

= 0.9933

4 0

3 years ago

Pick the correct description of the line y=-5/3x

Genrish500 [490]

Where are the choices or whatever ~Description s where are they ..?

8 0

3 years ago

For what value of x is the area of the rectangle greater than the perimeter? The base of the perimeter is x+2

TiliK225 [7]

If we call the area A, then $A=7(x+2)=7x+14$
if we call the perimeter P, then $P=7*2+2(x+2)=2x+18$
$A>P$
$7x+14>2x+18$
subtracting 14 gives $7x>2x+4$
subtracting 2x gives $5x>4$
dividing by 5 gives $x>\frac{4}{5}$
or $x>0.8$

8 0

3 years ago

How much air can the basketball hold? With a radius of 3 inches. Round to the nearest hundredth.

choli [55]

Answer:

113.10 if you use the pi button

113.04 if you use 3.14

Step-by-step explanation:

We want to find the volume

V = 4/3 pi r^3

The radius is 3

V = 4/3 pi (3)^3

Using the pi button for pi

V = 113.09734

Rounding to the nearest hundredth

V = 113.10

If you use 3.14 for pi

V = 113.04

3 0

3 years ago

A rectangular gasoline tank can hold 49.0 kg of gasoline when full. what is the depth of the tank (in m) if it is 0.400 m wide b

Arturiano [62]

We know that

ρ = density of gasoline = 737 kg/m³ (at T = 60°F = 15.6°C)
ρ = m/V
ρV = m
V = m/ρ
V = 49.0 kg / 737 kg/m³
V = 0.066 m³

[volume of the tank]=L*W*H-----> H=volume/[L*W]----> H=0.066/(0.9*0.4)
H=0.1833 m

the answer is
the depth of the tank is 0.18 m

5 0

3 years ago