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2 years ago

Need help with math PART 3

Mathematics

2 answers:

Llana [10]2 years ago

4 0

Answer: x= 40, x= 17,x= 5, x=83

Step-by-step explanation:

These are the answers in order :)

mixas84 [53]2 years ago

3 0

Answer:

1. x=40

2. x=17

3. x=5

4. x=83

Step-by-step explanation:

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The graph shows how much water is coming out of a faucet over time. How many gallons of water will flow if the faucet runs for 3

zhenek [66]

The answer is 2 gallons

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Your friend is about to begin an introductory chemistry course at his university. The course has collected data from students on

Minchanka [31]

Answer:

The percentage of students sudy 34 hours or more is 0.62%

Step-by-step explanation:

The Normal Distribution

The bell curve or normal distribution is frequently used to model the probability of natural random events. The normal distribution $N(\mu,\sigma)$ is characterized by two parameters:

$\mu$ is the mean value

$\sigma$ is the standard deviation

The study times in hours for the final exam is modeled as a normal distribution N(24,4). We are required to find the percentage of students study 34 hours or more, or P(X>34).

The values for the cumulative probability are given by tables or digital means like Excel where we can get the left-tail or P(X<Xo). To compute the right-tail or P(X>Xo) we use this relation

$P(X>Xo) =1-P(X$

The Excel formula to find the left-tail cumulative probability is called

NORM.DIST(x,mean,standard_dev,cumulative)

To solve the question, we used:

NORM.DIST(34,24,4,TRUE)=0.9938

Thus:

$P(X>34) =1-P(X$

The percentage of students study 34 hours or more is 0.62%

6 0

3 years ago

Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start

Kamila [148]

Option B: $\frac{1}{(m-4)(m-3)}$ is the correct answer.

Explanation:

The given expression is $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$

Simplifying the expression, we have,

$\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}$

Factor the equations, $m^{2}-16\right$ and $m^{2}-9$ ,we get,

$m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)$

$m^{2}-9=m^{2}-3^2=(m+3)(m-3)$

Substituting these factored expressions in the above expression, we have,

$\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}$

Cancelling the common terms $m+3$ and $m+4$ , we get,

$\frac{1}{(m-4)(m-3)}$

Thus, the expression equivalent to $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$ is $\frac{1}{(m-4)(m-3)}$

Hence, Option B is the correct answer.

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3 years ago

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(2a-b) * (a-2b) (4x - 2) * (x -4)

MAXImum [283]

Q: (2a-b) * (a-2b)

$(2−)(−2)$

$2(−2)+(−2)(−)$

$22−4+(−2)(−)$

$22−4−(−2)⋅$

$22−4+22−⋅$

Q: (4x - 2) * (x -4)

$(4−2)(−4)$

$4(−4)−2(−4)$

$42−16−2(−4)$

$42−16−2+8$

$42−18+8$

Hope its help you !!

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2 years ago

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Which is the best approximation for the measure of angle ABC?

Sliva [168]

Answer:

The best approximation for the measure of angle ABC is:

Third option: 58.3°

Step-by-step explanation:

This is a right triangle, because it has an angle of 90° (right angle) in vertex C, and we need one of the acute angles "x". We have the side opposite to the angle of 90° (right angle), this is the longest side in the right triangle, the Hypotenuse: H=20 cm

We have one of the legs (the sides form the right angle), and this leg is the Adjacent leg: A=10.5 cm to the angle "x".

To find the angle "x" we must use the trigonometric function that relates its adjacent leg (A) with the hypotenuse (H), and this function is cosine:

cos x = Adjacent Leg / Hypotenuse

cos x = A / H

Replacing the known values:

cos x = 10.5 cm / 20 cm

cos x = 0.525

Solving for x:

$x=cos^{-1} 0.525\\ x=58.33175678^{\°}$

Rounding to 1 decimal place:

x=58.3°

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3 years ago

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