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3 years ago

Graph the quadratic function f(x)= -2x^2-3x+2

Mathematics

1 answer:

schepotkina [342]3 years ago

4 0

Answer:

it would be the graph with the maximum (opening down) in the first photo with the top on the left side of the y axis

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Find x such that g(x) = 35

Sav [38]

G=6
X=5

Idk if that is what this is asking but here it is

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3 years ago

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ILL GIVE BRAINLY THING

Leno4ka [110]

9514 1404 393

Answer:

d. The data is continuous because it is connected, without gaps.

Step-by-step explanation:

If you can draw the graph without lifting your pencil, then the data is continuous. That is the case here. The best description is the last one:

The data is continuous because it is connected, without gaps.

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3 years ago

A line's y-intercept is 5, and its slope is 1. what is its equation in slope intercept form?

kotegsom [21]

Answer:

y = x+5

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

y = 1x + 5

y = x+5

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2 years ago

A random sample from a normal population is obtained, and the data are given below. Find a 90% confidence interval for . 114 157

melamori03 [73]

Answer:

$103.160 \leq \sigma \leq 187.476$

And the upper bound rounded to the nearest integer would be 187.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

Data given: 114 157 203 257 284 299 305 344 378 410 421 450 478 480 512 533 545

The confidence interval for the population variance $\sigma^2$ is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^{17} (x_i -\bar x)^2}{n-1}}$

And in order to find the sample mean we just need to use this formula:

$\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample mean obtained on this case is $\bar x= 362.941$ and the deviation s=132.250

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=17-1=16$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a tabel to find the critical values.