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2 years ago

Which is the graph of f(x) = –(x + 3)(x + 1)?

Mathematics

2 answers:

prisoha [69]2 years ago

8 0

Option 2 is the correct answer

Lostsunrise [7]2 years ago

5 0

Answer:

Option 2

Step-by-step explanation:

We know that the graph will face down (the negative sign)

We also know that the vertex should be (-2, 1)

Therefore, option 2 is the solution

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Angle 7 and angle 8 are complementary. angle 5 equals angle 8 and angle 6=29.

olya-2409 [2.1K]

Answer:

Angle 7 + Angle 8 = 90°

Angle 5 = Angle 8

Angle 6 = 29°

5 0

3 years ago

HALP, HELP, YELP, HELP MEH PLZ, PLZ, PLZ, PLZ, PLZ, PLZ, PLZ I WILL GIVE BRAINLIST PLZ AND NO DOO-DOO ANSWERS PLZ

Lubov Fominskaja [6]

Answer:

1,5,9

Step-by-step explanation:

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2 years ago

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the area of australia is 2.95 x 10^6 square miles. what's the approximate average number of people per square mile in Australia?

Klio2033 [76]

Its approximately 7 people per square mile

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3 years ago

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Explain how you can write 3/2 as the product of a whole<br><br> number and a unit fraction.

Nitella [24]

Answer:

Step-by-step explanation:

When 3 is divided by 2, the quotient is 1 and remainder is 1

Whole number is the quotient.

Fraction : <u>remainder</u>

divisor

$1\frac{1}{2}$

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3 years ago

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A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

Valentin [98]

Answer:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324 \approx 4.3$

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

Step-by-step explanation:

Data: 10,9,20,13,12

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 means 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.

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".

$\bar X$ 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

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,4)".And we see that $t_{\alpha/2}=4.604$

Now we have everything in order to replace into formula (1):

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

6 0

3 years ago