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GuDViN [60]
3 years ago
11

PLEASE HELP

Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0

Answer:

B. Substitute 9x for y in the first equation

Step-by-step explanation:

There are various ways of solving a system of linear equations:

- Graphing

- Substitution

- Elimination

Here, given that we have two equations that are equal to y in terms of x, we can use substitution and essentially either plug in the expression (7x + 3) in for y in the second equation or plug in the expression (9x) in for y in the first equation.

Look at the answer choices: only B matches, so it's the correct answer.

Olegator [25]3 years ago
3 0

Step-by-step explanation:

<u>Step 1:  Find the most reasonable step</u>

<em>Option A:</em>  It doesn't make sense because that will not help us solve the system of equation.

<em>Option B: </em> This option makes sense because you can then solve for x.

<em>Option C:</em>  It doesn't make sense because that will not help us solve the system of equation.

<em>Option D: </em> It doesn't make sense because that will not help us solve the system of equation.

Answer:  Option B

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A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit
zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=73,\sigma=7)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

P(X>a)=0.055 or P(X

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition P(X, the best way to solve this problem is using the z score with the following formula:

z=\frac{x-\mu}{\sigma}

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

P(X

So then based on the equalities we have this:

\frac{a-73}{7}=1.598

And if we solve for a we got:

a=(7*1.598) +73=84.186

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0
3 years ago
A circular garden has a diameter of 6 feet. Which of the following is closest to the area of the garden?
oksian1 [2.3K]
The answer to this problem is 'B'.

This is because to find the area of a circle your formula is
A = 3.14•r²
So your first step is

1. Find the radius by dividing the diameter (6) by 2
6/2 = 3 Radius= 3

Now that you have found the radius (3) plug the number in the formula
2. A = 3.14•3²
OR
A = 3.14•3•3

Finally, solve the last step - Find the area
3.14 • 3 • 3 = 28.26
A = 28.26
5 0
3 years ago
Read 2 more answers
___ ÷ 4 + 3 = 9 <br> Find the missing number.
PilotLPTM [1.2K]

Answer:

The answer is 24

Step-by-step explanation:

24/4 is 6 and then you add 6 to 3 which is 9

7 0
2 years ago
Read 2 more answers
Gabe rolled 14 strikes out of 70 attempts. What percent of Gabe's attempts were strikes?
Airida [17]

Answer:

20%

Step-by-step explanation:

14/70x100=20%

5 0
3 years ago
Please help me w the answer
evablogger [386]

Answer:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

\frac{()}{(x-4)(x-5)}

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ((x - 6)(x-10)). Now one has this much of the function assembled

\frac{(x-6)(x-10)}{(x-4)(x-5)}

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

6 0
3 years ago
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