What are the zeros of f(x) = x^2 - x - 12?

A. x= -4 and x= 3
B. x=-3 and x = 4
C. x=-2 and x = 6
D. x=-6 and x = 2

Answer:

Yes because 5^2 + 12^2 = 13^2

Step-by-step explanation:

We can check using the Pythagorean theorem

a^2 + b^2 = c^2

5^2 + 12^2 = 13^2

25+ 144= 169

169 = 169

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Answer:

  D.  Yes, because 5² +12² = 13²

Step-by-step explanation:

To determine if a triple of three numbers will form a right triangle, see if they satisfy the Pythagorean theorem. If they do, the sum of the squares of the smaller two numbers will equal the square of the largest.

Here, we have ...

  5² + 12² ?? 13²

  25 +144 ?? 169

  169 = 169 . . . . . . these side lengths will form a right triangle

_____

Additional comment

Three integer numbers like these that will satisfy the Pythagorean theorem are called a "Pythagorean triple." A few such triples that are commonly seen in algebra and trig problems are ...

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

It is worthwhile to remember a few of these, as you will see them again.

Answer:

The null hypothesis is [tex]H_0: \mu = 444[/tex]

The alternative hypothesis is [tex]H_1: \mu < 444[/tex]

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting.

At the null hypothesis, we test if the machine works correctly, that is, the mean is of 444. So

[tex]H_0: \mu = 444[/tex]

At the alternative hypothesis, we test if they are underfilling, that is, if the mean is of less than 444. So

[tex]H_1: \mu < 444[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

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

444 is tested at the null hypothesis:

This means that [tex]\mu = 444[/tex]

A 41 bag sample had a mean of 440 grams with a variance of 441.

This means that [tex]n = 41, X = 440, s = \sqrt{441} = 21[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{440 - 444}{\frac{21}{\sqrt{41}}}[/tex]

[tex]t = -1.22[/tex]

P-value of the test:

Right-tailed test(test if the mean is less than a value), with 41 - 1 = 40 df and t = -1.22.

Using a t-distribution calculator, this p-value is of 0.1148

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

Answer:

On average, a player should expect to win $15.

Step-by-step explanation:

The expected value in an event with outcomes:

x₁, x₂, ..., xₙ

Each with probability:

p₁, ..., pₙ

is given by:

Ev = x₁*p₁ + ... +xₙ*pₙ

In this case we have 3 outcomes:

player wins $75 = x₁

player wins $45 = x₂

player does not win = x₃

Let's find the probabilities of these events.

player wins $75)

Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

Then the probability of winning $75 is the quotient between the number of outcomes to win (only one) and the total number of outcomes (8)

p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

1/8 + 1/8 + p₃ = 1

p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

A number of nickels in a sample of 1,000 from a year in which none were minted. The correct option is B.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that year found in a sample of 1,000 is related to the number of nickels that were minted that year.

This can be expressed as y=2.04x+0.806 where x is the number of nickels minted in a particular year in hundreds of millions and y is the number of nickels from that year in a sample of 1,000.

The slope of the line represents the number of nickels in a sample of 1,000 from a year in which none were minted.

Therefore, the correct option is B.

To know more about an equation follow

https://brainly.com/question/18831322

#SPJ2

Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

Answer:

B. an infinite number

Step-by-step explanation:

Since point A lies outside of P, the number of lines that can be drawn parallel to P and passing through point A is only infinite. It is infinite because it is just one given point lying outside the plane. If there is more than one point then it will be otherwise.

Answer:

yeah

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The domain is the horizontal extent of the graph. For a graph like this, we assume the ends extend to infinity, both horizontally and vertically. Then the horizontal extent (domain) is from -infinity to +infinity: all real numbers.

The graph does not go below y=0, so the vertical extent (range) is y ≥ 0.

Answer:

34°

Step-by-step explanation:

using tan ( tan x = opposite/adjacent)

tan x = 7/10

we solve for x by moving the tan and turning tan into tan^-1 which is inverse tangent

x = tan^-1 = 7/10

x = 35

exact answer: 34.99202

Answer:

dm

Step-by-step explanation:

Step-by-step explanation:

40 won dividend 48 games

= 40/48 x 100

83.33% Win

Green Sox

27/45 x 100

60%

so Conclusion

The most Won Greatest Between Blue & Green are

Sox Have 83.33% Won

Answer:

x^2 + 2x -15

Step-by-step explanation:

(x-3) (x+5)

x * (x+5) -3(x+5)

x^2 + 5x - 3x - 15

x^2 + 2x - 15

Answered by Gauthmath

Answer:

78

Step-by-step explanation:

Answer:

Raw Score

Step-by-step explanation:

A raw score is a datum point or value that has not been altered in any way. Raw scores are original measurements from surveys, tests, or other instruments that have not been weighted, transformed, or converted into any other form. Raw scores are also called observed scores.

Therefore

It is a Raw score

Answer:

b. 6280 cubic feet

Step-by-step explanation:

Volume:

The volume of the prism, which has a cylindrical base, with radius r and height h, is given by:

[tex]V = \pi r^2h[/tex]

Radius:

The radius is 20, so [tex]r = 20[/tex]

The manufacture  recommends that it be filled  to within 1 foot of the rim.

Height of 6 - 1 = 5, so [tex]h = 5[/tex]

Then

[tex]V = 3.14*(20)^2*5 = 6280[/tex]

So the volume is 6280 cubic feet, and the correct answer is given by option b.

Answer: the correct answer is D 0.05

Step-by-step explanation:

Answer:

0.02 m/s

Step-by-step explanation:

42/50 meters in 26/30 minutes,

26/30 minutes = 52 seconds

so in 1 second, 42/50 ÷ 52

= 42/50 × 1/52

= 21/1300

= 0.02 (approximately)

Answered by GAUTHMATH

Answer:

78.5 %

Step-by-step explanation:

the probability = π(2)² / (4×4) ×100%

= 4π /16 × 100%

= π/4 ×100%

= (π×25)%

= 3.14 × 25 %

= 78.5 %

Answer:

[tex]\frac{dh}{dt}=0.5ft[/tex]

Step-by-step explanation:

From the question we are told that:

Length [tex]l=12[/tex]

Top length [tex]l_t=3ft[/tex]

Height [tex]h=1ft[/tex]

Rate [tex]R=14 ft3/min[/tex]

Water rise [tex]w=4[/tex]

Generally the equation for Velocity is mathematically given by

[tex]V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)[/tex]

[tex]V=18h'^2[/tex]

Therefore

[tex]R=18(2h)(\frac{dh}{dt})[/tex]

Where

[tex]h=\frac{3}{4}[/tex]

Therefore

[tex]\frac{dh}{dt}=\frac{R}{18(2h)}[/tex]

[tex]\frac{dh}{dt}=\frac{14}{18(2.3/4)}[/tex]

[tex]\frac{dh}{dt}=0.5ft[/tex]

Answer:

A reflection across the y axis and then a reflection across the x axis

Step-by-step explanation:

Answer:

An 180 degree counterclockwise rotation around the origin

Step-by-step explanation:

plato/edmuntum answer

Answer:

The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Step-by-step explanation:

Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:

3 sizes

4 colors

4 x 3 = 12

4 midsize cars

3 red cars

1 medium red car

4 + 3 - 1 = 6

6/12 = 0.5

Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Answer:

[tex]thank \: you[/tex]

Answer:

10*(2)^(n-1)

Step-by-step explanation:

The common ratio of the sequence is 20/10=40/20=2.

The first term is 10 so the equation is 10*(2)^(n-1)

Answer:

10(2)^n-1

Step-by-step explanation:

Correct on Odyssey

Answer:

52.8 m. sq.

Step-by-step explanation:

2.6 x 1.5 + 1.5 (3) = 7.8 / 2 = 3.9 x 2 = 7.8 (Triangles)

3 x 5 = 15 x 2 = 30 (Side Rectangles)

5 x 1.5 + 1.5 (3) = 15

15 + 30 + 7.8 = 52.8 m. sq.

Hope this helps!

If something is wrong, please let me know.

Answer: hello your question is incomplete attached below is the complete question

answer:

a) Fx(X) = 0 ≤ x ≤ 2,    Fy(Y) = y - y^3/4

b) E(X) = 32/20 ,  E(Y) = 64/60

Step-by-step explanation:

a) Marginal probability density

Fx(X) = [tex]\int\limits^x_0 {\frac{xy}{2} } \, dy[/tex]

∴ probability density of X  = 0 ≤ x ≤ 2

Fy(Y) = [tex]\int\limits^2_y {\frac{xy}{2} } \, dx[/tex]

∴ probability density of Y = y - y^3/4

b) Determine the expected values of X and Y

E(X) = 32/20

E(Y) = 64 /60

attached below is the detailed solution

Answer:

[tex]g(x) = 6(2)^{x -8}+ 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 6(2)^{x - 1}+ 4[/tex]

Required

Find g(x)

From the question, f(x) is translated 7 units left;

The rule of translation is: [tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]g(x) = f(x - 7)[/tex]

[tex]g(x) = 6(2)^{x -7- 1}+ 4[/tex]

[tex]g(x) = 6(2)^{x -8}+ 4[/tex]

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Answer:

  (c)  -8, -6, -4, -2, ...

Step-by-step explanation:

An arithmetic sequence has sequential terms that have a common difference.

The first differences of the offered sequences are ...

  a) -4, 12, -36

  b) 6, -10, 14

  c) 2, 2, 2 . . . . . . constant, so an arithmetic sequence

  d) 2, 4, 8

__

The arithmetic sequence is -8, -6, -4, -2, ....

Answer:

Step-by-step explanation:

Answer:

y=2, x=4

Step-by-step explanation:

sin60=2sqrt3/x

so x = 2sqrt3/sin60

and x=4

for the value of y, use pythagorean theorem to get

16=y^2+12

which gives you y=2

Answer:

A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.

Answer:

The p-value of the test is 0.053, which is more than the standard significance level of 0.05, and thus it cannot be concluded that the mean monthly rent in the city is less than $1000.

Step-by-step explanation:

A housing official in a certain city claims that the mean monthly rent for apartments in the city is less than $1000.

At the null hypothesis, we test if the mean is of at least $1000, that is:

[tex]H_0: \mu \geq 1000[/tex]

At the alternative hypothesis, we test if the mean is less than $1000, that is:

[tex]H_1: \mu < 1000[/tex]

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

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

1000 is tested at the null hypothesis:

This means that [tex]\mu = 1000[/tex]

To verify this claim, a simple random sample of 47 renters in the city was taken, and the mean rent paid was $941 with a standard deviation of $245.

This means that [tex]n = 47, X = 941, s = 245[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{941 - 1000}{\frac{245}{\sqrt{47}}}[/tex]

[tex]t = -1.65[/tex]

P-value of the test and decision:

The p-value of the test is found using a left-tailed test(test if the mean is less than a value), with t = -1.65 and 47 - 1 = 46 df.

Using a t-distribution calculator, the p-value is of 0.053.

The p-value of the test is 0.053, which is more than the standard significance level of 0.05, and thus it cannot be concluded that the mean monthly rent in the city is less than $1000.

Answer:

y = 8x+11

Step-by-step explanation:

The coordination of the points are : (-5,-2) , (3, -1)

Then, the equation is :

[tex]\frac{y+5}{x+2} =\frac{-5-3}{-2+1} \\\\or,\frac{y+5}{x+2} = 8\\or, y+5=8(x+2)\\or, y = 8x+16-5\\y= 8x+11[/tex]

Answer:

Having 4.5 liters of water for 4 hours of hiking

Step-by-step explanation:

If you plug in 4.5 for y and 4 for x, you get:

4.5 greater or equal than 0.5 left parenthesis 4 right parenthesis plus 1.8

4.5 greater or equal than 2 plus 1.8

4.5 greater or equal than 3.8

This is a true statement so having 4.5 liters of water for 4 hours of hiking would be a solution.

Answer:

2ab

Step-by-step explanation:

7ab+8ab+(-10ab)+(-3ab)=

=15ab-13ab= 2ab

Answer:

2ab

Step-by-step explanation:

7ab+8ab+-10ab+-3ab

Factor out ab

ab(7+8-10-3)

ab(2)

2ab