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2 years ago

:( A=? B=? please help me

Mathematics

1 answer:

Helen [10]2 years ago

7 0

a= 16x+16

b= 40x + 15

Step-by-step explanation:

We know that perimeter of a rectangle is

$2(l + b)$

So therefore

$2(8x + 3 + 5) = a$

$= > 16x+ 6 + 10 = a$

$= > 16x + 16 = a$

Answer= A) that is perimeter is 16x+16

We know that area of a rectangle is l×b

So therefore

$(8x + 3) \times 5$

$= 40x + 15$

Answer = b) that is area is 40x + 15

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3 years ago

HELPPPPPPPP!!!!!!!!!!

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Step-by-step explanation:

98 = 188t - 16t^2

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3 years ago

A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127)

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Answer:

1/3x

Step-by-step explanation:

Subtract x by x and y by y to find the distance/difference

36 163

24, 127

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Now reduce to find the slope, reduce until you can't anymore.

12/36

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3/9

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3 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

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

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

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

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

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

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

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3 years ago

There is a rectangular prism that can fit 28 cubes with edge lengths of 1/2 inch each. What is the volume of this rectangular pr

siniylev [52]

Answer:

3.5 inch^3

Step-by-step explanation:

Volume of cube: V = s^2,

where V = volume, and s = length of side or edge.

The volume of the prism is the same as the volume of 28 cubes with edge length of 1/2 inch. To find the volume of the prism, find the volume of one cube and multiply by 28.

volume of prism = 28 * volume of cube

volume of prism = 28 * (1/2 inch)^3

volume of prism = 28 * 1/8 inch^3

volume of prism = 3.5 inch^3

3 0

3 years ago