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3 years ago

HELP I NEED HELP ASAP

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

Answer:

$D.\ (3,\frac{1}{8})$

Step-by-step explanation:

Given

$y = (\frac{1}{2})^x$

Required

Points that lies on the above graph

From the given options, only option D lies on the point and the proof is as follows:

$D.\ (3,\frac{1}{8})$

This means that:

$x = 3;\ y = \frac{1}{8}$

Substitute $x = 3;\ y = \frac{1}{8}$ in $y = (\frac{1}{2})^x$

$\frac{1}{8} = (\frac{1}{2})^3$

$\frac{1}{8} = \frac{1^3}{2^3}$

$\frac{1}{8} = \frac{1}{8}$

See that the values at the right and left hand side of the equation are the same.

This means that, $D.\ (3,\frac{1}{8})$ lies on $y = (\frac{1}{2})^x$

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the ratio of the length of a rectangle to its width is 8 to 5. if the longer side of the rectangle is 20 ft, what is the length

expeople1 [14]

8/5 = 20/x
8x = 20(5)
8x = 100
x = 12.5

answer
length of its shorter side = 12.5 ft

8 0

3 years ago

Read 2 more answers

Sophia buys a certain brand of cereal that costs $5 per box. Yani changes to a super-saving brand of the same size. The equation

koban [17]

$ 0.65 more dollars is the price of a box Sophia's original brand of cereal than the price of a box of the super-saving cereal

Amount saved each month with the change in cereal brand if he buys 5 cereal boxes each month is $ 3.25

Solution:

Given that Sophia buys a certain brand of cereal that costs $5 per box

The equation shows the price, y, as a function of the number of boxes, x, for the new brand:

y = 4.35x

Part A:

New brand, y = 4.35x where y is the price and x is the number of boxes

Original brand, y = 5x since given that cereal that costs $5 per box

If Sophia old cereal preference was $5, and the equation shows that the new cereal preference is $4.35, if I subtract the amount of the new one from the old,

we get , 5 - 4.35 = 0.65

Therefore, $ 0.65 more dollars is the price of a box Sophia's original brand of cereal than the price of a box of the super-saving cereal

Part B:

Given that if he buys 5 cereal boxes, let us calculate price for old and new brand

New brand, y = 4.35x

New brand, y = 4.35(5) = 21.75

Original brand, y = 5x = 5(5) = 25

Amount saved = $ 25 - $ 21.75 = $ 3.25

Thus amount saved each month with the change in cereal brand if he buys 5 cereal boxes each month is $ 3.25

6 0

3 years ago

Messages arrive to a computer server according to a Poisson distribution with a mean rate of 11 per hour. Determine the length o

Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let X = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, λ = 11/ hour.

The random variable X follows a Poisson distribution with parameter λ = 11.

The probability mass function of X is:

$P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....$

It is provided that in t hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of t as follows:

$P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds$

Thus, the length of the interval during which no messages arrive is 90 seconds long.

6 0

3 years ago

The graph shows f(x)=2x+1 and g(x)=3x.

k0ka [10]

Here, 2x + 1 = 3x
3x - 2x = 1
x = 1

In short, Solution would be 1 only.

Hope this helps!

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3 years ago

In a classroom, 3/8

AleksAgata [21]

Answer:

9 students

Step-by-step explanation:

There are 9 students wearing blue shirts, and 6 students are wearing white shirts. This means there are 9 students not wearing blue or white shirts.

7 0

2 years ago