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3 years ago

Using the graph as your guide, complete the following statement.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Answer:

Option C. positive

Step-by-step explanation:

we know that

If the discriminant of a quadratic function is positive, then the quadratic function has two real solutions

If the discriminant of a quadratic function is zero, then the quadratic function has one real solution

If the discriminant of a quadratic function is negative, then the quadratic function has two complex solutions

In this problem

The quadratic function has two real solutions (x-intercepts)

therefore

The discriminant is positive

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Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi

Artyom0805 [142]

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

5 0

2 years ago

Read 2 more answers

Please help! what is the polar equation r = -5 theta in parametric form? thank you!

Rudiy27

Use these equations when converting polar equations to parametric equations:

$x=r\cos\theta$

$y=r\sin\theta$

We know that $r=5\theta$ , so substitute that into both equations for x and y.

$x=5\theta\cos\theta$

$y=5\theta\sin\theta$

Now, replace $\theta$ with any variable that you want to represent the parametric equations in. I'll use the standard variable, $t$

$x=5t\cos t$

$y=5t\sin t$

Thus, $r=5\theta$ represented in parametric form is:

$(x,y)=(5t\cos t, 5t \sin t)$

Let me know if you need any clarifications, thanks!

~ Padoru

4 0

3 years ago

(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=

Luda [366]

Answer:

The 99% confidence interval is $71.67 < \mu < 78.33$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 15$

The sample mean is $\= x = 75$

The standard deviation is $s = 5$

Given that confidence is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

$\alpha = 1\%$

$\alpha = 0.01$

Next we obtain the critical values of $\frac{ \alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{ \alpha }{2} } = 2.58$

Generally the margin for error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{ s}{ \sqrt{n} }$

=> $E = 2.58 * \frac{ 5}{ \sqrt{15} }$

=> $E = 3.3307$

The 99% confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

=> $75 - 3.3307 < \mu$

=> $71.67 < \mu < 78.33$

3 0

3 years ago

Question: Image Below

konstantin123 [22]

Answer:

The answer will be: C: 2t + 10

Step-by-step explanation:

You can check the answer by replacing t with any number.

Example:

I want to find the perimeter for 3 triangles. Here's how I would write the equation.

2(3) + 10 = 6 + 10 = 16

We can check by adding all the sides for three triangles.

2 + 2 + 2 + 5 + 5 = 16

Hope this helped :)

5 0

2 years ago

Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour. Let f(n) be Prachi's dis

Yanka [14]

Answer:

Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.

Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.

f is an arithmetic sequence.

Write an explicit formula for the sequence.

f(n) = 70n + 5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers