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3 years ago

I need help with these ASAP thanks

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

a. $y=\frac{2x}{x-5}$

b. $y=\frac{2-4x}{x-3}$

Step-by-step explanation:

change switch x and y and then solve for y.

a. $x=\frac{5y}{y-2}$

$x(y-2)=5y$

$xy-2x=5y$

$xy-5y=2x$

$y(x-5)=2x$

$y=\frac{2x}{x-5}$

same for b.

b. $x=\frac{3y+2}{y+4}$

$x(y+4)=3y+2$

$xy+4x=3y+2$

$xy-3y=2-4x$

$y(x-3)=2-4x$

$y=\frac{2-4x}{x-3}$

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A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard de

hjlf

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

$z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16$

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

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3 years ago

AT the local zoo, the aquarium can be seen from the Reptile Room and the Amphibian Arena. What is the total area of both rooms a

BartSMP [9]

Answer:

The total area of both rooms and the aquarium is equal to 10,932 ft²

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

the length sides of Aquarium are

(83-32) x (72-52)-----> 51 ft x 20 ft

Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²

[ total area of both rooms]=2*4,956-----> 9,912 ft²

I'm assuming that the two areas are equal

Area of aquarium=51*20=1,020 ft²

therefore

the total area of both rooms and the aquarium is equal to

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3 years ago

WILL GIVE BRAINLIESTT!!

djyliett [7]

Answer:

$y = {e}^{3}$

Step-by-step explanation:

$f(x) = {e}^{3x} \\ \\ plug \: x = 1 \\ \\ f(1) = {e}^{3 \times 1} \\ \\ f(1) = {e}^{3} \\ \\ plug \: f(1) = y \\ \\ y = {e}^{3}$

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3 years ago

Can a prime number be a multiple of any other number except itself. Explain why or why not

zzz [600]

No, by definition a prime number is one where the only factors are 1 and itself. If some prime number is a multiple of another number, then that other number is a factor of the prime number. But that would make it composite (non-prime)

For example, the number 11 is prime. The only factors are 1 and itself. If we made the claim that 11 is a multiple of 2, then 2 would be a factor of 11 making 11 non-prime (as it doesn't just have 1 and itself as factors).

Note: If you have two numbers A and B, and you say that A is a factor of B, then A is the smaller value. Though there is the exception when A = B. For example, saying "8 is a factor of 16" has 8 being the smaller value.

Another note: if you say "A is a multiple of B", then B is larger than A. The exception is when A = B. Example: "100 is a multiple of 5"

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3 years ago

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3 years ago