If using the method of completing the square to solve the quadratic equation x² - 16x - 38 = 0, which number would have to be added to "complete the square"?

Answer:

C. The mean absolute deviation is 2.

Step-by-step explanation:

In order to find the mean absolute deviation, follow the following steps:

Let's work it out.

STEP: 1

|9 - 14| = 5

|13 - 14| = 1

|14 - 14| = 0

|15 - 14| = 1

|15 - 14| = 1

|18 - 14| = 4

STEP: 2

5 + 1 + 0 + 1 + 1 + 4 = 12

STEP: 3

Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]

sentence:-

If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

2) If the two lines do not intersect, then the vertical angles are not equal.

3) If the vertical angles are equal, then the two lines intersect.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

◇[tex] sentence:-[/tex]

If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

◇[tex]\sf{it is CONTRAPOSITIVE}[/tex]

2) If the two lines do not intersect, then the vertical angles are not equal.

◇[tex]\sf{it is INVERSE}[/tex]

3) If the vertical angles are equal, then the two lines intersect.

◇[tex]\sf{it is CONVERSE}[/tex]

Answer: z=25 x=114

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

Answer: 84

Step-by-step explanation:

The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees

From the figure given, the horizontal line is the line tangential to a circle.

Given the following parameter

measure of minor arc = 168 degrees

Required

angle at the vertex "x"

Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;

x =1/2 minor arc

x= 1/2 (168)

x = 84 degrees

Hence the measure of the missing angle "x" is 84 degrees

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Answer:

14 days

Step-by-step explanation:

Answer:

the first question is c

Step-by-step explanation:

2 x pi x the radius

2 x 3.14 x 8

Answer:

circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 decrease on the price

of the ticket. A circus owner sells an average of 340 tickets when the price of a ticket is $75. If x represents the number of times the price

decreases by $3, which function describes the revenue earned by the circus owner terms

Answer:

it should be 40 in.

Step-by-step explanation:

because you have to use pythagorean theorem which is A square plus B square equals C square

Hope it helps.

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

The diagonal is the width times √17.

Answer:

take 40 degree as reference angle

using tan rule

tan 40 =p/b

0.83=900/x

0.83x=900

x=900/0.83

x=1084.33

x=1084.3(after rounding off to the nearest tenth)

Step-by-step explanation:

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

Answer:

8%

Step-by-step explanation:

1.08 is an increase of 0.08, which is 8%

Answer: 3%

Step-by-step explanation:

since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.

Answer:

first x= -2

second x= 2

third x= 4

Answer:

10ft³

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 1/3 = 10ft³

Answer:

bolts=12g and washers=7 g

Step-by-step explanation:

honestly, i tried to solve this by hand and made an error somewhere, but i set up two equations, then tried to use elimintation to solve for one variable. but in the end i went to my trusty calculator and created a matrix, then used the rref math to solve. sorry i couldnt be of more help

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-163 - 0}{77.3144}[/tex]

[tex]z = -2.11[/tex]

The test statistic is z = -2.11.

Answer:3

Step-by-step explanation:

The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the number of students who take orchestra as an elective be represented as P

Now , the equation will be

The total number of students = 16 students

The number of students who opted for orchestra as elective = 4 students

So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students

Substituting the values in the equation , we get

The probability that the number of students who take orchestra as an elective P = 4/16

The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %

Now , when the number of students = 16 + 12 = 28 students

The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28

Substituting the values in the equation , we get

1/4 = ( x + 4 ) / 28

Multiply by 28 on both sides of the equation , we get

x + 4 = 7

Subtracting 4 on both sides of the equation , we get

x = 3 students

So , the number of students who will take orchestra from the group of 12 students is 3 students

Hence , the probability is 1/4

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Answer:

the last one

Step-by-step explanation:

__________________

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

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Answer:

a)

The null hypothesis is [tex]H_0: p = 0.91[/tex].

The alternate hypothesis is [tex]H_1: p < 0.91[/tex].

The decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

b)

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Step-by-step explanation:

Question a:

Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large:

At the null hypothesis, we test if the proportion is the same as the student population, of 91%. Thus:

[tex]H_0: p = 0.91[/tex]

At the alternate hypothesis, we test that the proportion for athletes is less than 91%, that is:

[tex]H_1: p < 0.91[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Test if the proportion is less at the 0.05 level:

The critical value is z with a p-value of 0.05, that is, z = -1.645. Thus, the decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

0.91 is tested at the null hypothesis:

This means that [tex]\mu = 0.91, \sigma = \sqrt{0.91*0.09}[/tex]

A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.

This means that [tex]n = 152, X = \frac{132}{152} = 0.8684[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8684 - 0.91}{\frac{\sqrt{0.91*0.09}}{\sqrt{152}}}[/tex]

[tex]z = -1.79[/tex]

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).

The p-value of the test is the probability of finding a sample proportion of 0.8684 or below. This is the p-value of z = -1.79.

Looking a the z-table, z = -1.79 has a p-value of 0.0367.

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

Answer:

144 eggs

Step-by-step explanation:

1 cake = 6 eggs

24 * 6 = 144 eggs in total.

A longer way to do it is by adding 6, 24 times.

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144

But by multiplying, it makes it easier to find the answer.

Answer:

Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.

Step-by-step explanation:

:D

Answer:

add 5/10+3/4+1/2 you add number i will give you hint

Answer:

1080

Step-by-step explanation:

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Answer:

a) 32 , 40000 b) to a rising in age correspond a rising in salary ,  c) because you can draw a curve(or a brach of hyperbola) that goes up. i guess(?)

Step-by-step explanation: