Answer this question please

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

Fed [463]

So h is 3x
b is x
3x plus x equal 972
4x = 972
243 is base
243 times 3 is 729

8 0

3 years ago

Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

No-show rate of 10%.

This means that $p = 0.1$

Four travelers who have made hotel reservations in this study.

This means that $n = 4$

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is $P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523$

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561$

$P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0

2 years ago

How do you put 943,261,586 with base ten numbers

Citrus2011 [14]

Answer:

(9 $\times$ $10^{8}$ ) + (4 $\times$ $10^{7}$ ) + (3 $\times$ $10^{6}$ ) + (2 $\times$ $10^{5}$ ) + (6 $\times$ $10^{4}$ ) + ( $10^{3}$ ) + (5 $\times$ $10^{2}$ ) + (8 $\times$ 10) + (6 $\times$ $10^{0}$ )

Step-by-step explanation:

How do you put 943,261,586 with base ten numbers

943,261,586 =

900,000,000 + 40,000,000 + 3,000,000 + 200,000 + 60,000 + 1,000 + 500 + 80 +6 =

(9 $\times$ $10^{8}$ ) + (4 $\times$ $10^{7}$ ) + (3 $\times$ $10^{6}$ ) + (2 $\times$ $10^{5}$ ) + (6 $\times$ $10^{4}$ ) + ( $10^{3}$ ) + (5 $\times$ $10^{2}$ ) + (8 $\times$ 10) + (6 $\times$ $10^{0}$ )

8 0

2 years ago

32. The debate team plans to make and sell trail

Paraphin [41]

Answer:

C

Step-by-step explanation:

The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p

The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34

8 0

2 years ago

Scientific notation of 10 to the power of negative 9 times (2times 10 square)squared

kondaur [170]

For answer 16 its -

Exact Form: $\frac{1}{25000}$

or

Decimal Form: 4. $10^{-5}$

Hopeful it helps

8 0

2 years ago