point C is located at (-4,3) on the coordinate plane. Point C is reflected over the x-axis to create point C'. What ordered pair describes the location of C'?

Answer:

Step-by-step explanation:

(4). 5 units down and a counterclockwise rotation of 90 degrees

Option D is the correct answer.

We need to find which options describe the transformations applied in the given figure.

There are four common types of transformations - translation, rotation, reflection, and dilation. From the definition of the transformation, we have a rotation about any point, reflection over any line, and translation along any vector. These are rigid transformations wherein the image is congruent to its pre-image. They are also known as isometric transformations. Dilation is performed at about any point and it is non-isometric.

From the given figure we can see 5 units down and a counterclockwise rotation of 90°.

Therefore, option D is the correct answer.

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Answer:

The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

This means that [tex]n = 2322, \pi = \frac{408}{2322} = 0.1757[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 - 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1627[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1757 + 1.645\sqrt{\frac{0.1757*0.8243}{2322}} = 0.1887[/tex]

The 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years is (0.1627, 0.1887).

Answer:

0.7102

0.8943

0.3696

Step - by - Step Explanation :

A.) Between $1320 and $970

P(Z < 1300) - P(Z < 970)

find the Zscore of each scores and their corresponding probability uinag the standard distribution table :

P(Z < (x - μ) /σ) - P(Z < (x - μ) / σ))

P(Z < (1320 - 1250) /120) - P(Z < (970 - 1250) / 120))

P(Z < 0.5833) - P(Z < - 2.333)

0.7200 - 0.0098 = 0.7102 (Standard

=0.7102

B.)Under 1400

x = 1400

P(Z < 400)

P(Z < (x - μ) /σ)

P(Z < (1400 - 1250) /120)

P(Z < 1.25) = 0.8943

C.) Over 1290

P(Z > 1290)

P(Z < (x - μ) /σ)

P(Z > (1290 - 1250) /120 = 0.3333

P(Z > z) = 1 - P(Z < 0.3333) = P(Z < 0.3333) = 0.6304

P(Z > 0.3333) = 1 - 0.6304 = 0.3696

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Answer:

  b. angle K is acute

Step-by-step explanation:

We're often told not to draw any conclusions from the appearance of a figure in a geometry problem. Here, angle K appears to be somewhat less than 90°, so angle K is acute.

__

Additional comment

This choice of answer is confirmed by the fact that the other two (visible) choices say the same thing. If one of them is correct, so is the other one. Hence they must both be incorrect. (An obtuse angle is more than 90°.)

Answer:

Between 19.3 and 55.9 animals.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 37.6, standard deviation of 6.1.

Between what two numbers of animals does Chebyshev's Theorem guarantees that we will find at least 89% of the days?

Within 3 standard deviations of the mean, so:

37.6 - 3*6.1 = 19.3

37.6 + 3*6.1 = 55.9

Between 19.3 and 55.9 animals.

Replace x in the equation with the x value of the point (6) and solve. If it equals the y value (0) it is a solution if it noes not equal (0) it is not a solution.

Y = 6^2 = 36

36 is not 0 so (6,0) is not a solution

Answer:

No, point (6, 0) is not on the equation.

Step-by-step explanation:

To do this question the easiest way, you would use your scientific/graphing calculator and type in your equation. But you can do this with your mind.

Since the equation y = x^2 does not have any number in it (such as m = slope) it does not start anywhere. You will put it in the origin which is (0, 0) from there, you can tell that the equation will not reach (6, 0), but only (1, 1).

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Answer:

  (b)  x = 0.25, 0.75, 1.25, 1.75

Step-by-step explanation:

The asymptotes of tan(α) are found at ...

  α = π/2 +nπ

We want to find x such that ...

  2πx = α = π/2 +nπ

Dividing by 2π gives ...

  x = 1/4 +n/2 . . . . . . . for integers n

In the desired range, the values of x are ...

  x = 0.25, 0.75, 1.25, 1.75

Answer:

The average change rate increases by a dollar for every 10 minutes you speak.

Step-by-step explanation:

If you do not speak at all you pay the standard price.

After that, If you add 10 minutes to your talk time, you add a dollar to your payment

hope it helps c:

Answer:

Step-by-step explanation:

1 taza = 8 onzas líquidas = 240 mililitros. 1 pinta = 2 tazas = 16 onzas líquidas = 480 mililitros. 1 cuarto (qt) = 4 tazas = 2 pintas = 32 onzas líquidas = 950 mililitros. 1 galón = 4 cuartos = 128 onzas líquidas = 3.8 litros (L)

1 q t0.95 L2 qt1.89 L3 qt2.84 L4 qt3.79 L

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Answer:

  121/14  or  8 9/14

Step-by-step explanation:

The quotient of 1/8 and 1/4 is ...

  (1/8)/(1/4) = (1/8)(4/1) = 4/8 = 1/2

The product of 2 2/3 and 3 3/7 is ...

  (2 2/3)(3 3/7) = (8/3)(24/7) = (8·24)/(3·7) = 64/7

Subtracting the first result from the second gives ...

  64/7 -1/2 = (128 -7)/14 = 121/14 = 8 9/14

_____

Additional comment

When subtracting fractions with denominators that have no common factors, I find it useful to make use of the formula ...

  [tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]

In this case, that gives us (64·2 -7·1)/(7·2) = (128 -7)/14.

⠀⠀⠀⠀⠀⠀⠀⠀⠀Stolen from GoogIe :p

The minimum length of wire needed  is approximately 22.5 meters and the maximum length of wire needed is also approximately 22.5 meters.

Let's assume the length of the wire is "L" meters. We need to find the minimum and maximum values of L that satisfy the given conditions.

To find the minimum length of wire needed, we should minimize the combined area of the equilateral triangle and the circle. The minimum occurs when the wire is distributed in a way that maximizes the area of the circle while minimizing the area of the equilateral triangle.

Minimum length (L_min):

Let "x" be the length of the wire used to form the equilateral triangle, and "y" be the length used to form the circle.

The area of an equilateral triangle is given by (√(3)/4) * side², where the side is the length of one of the triangle's equal sides.

The area of a circle is given by π * radius².

Since the perimeter of an equilateral triangle is three times the length of one of its sides, and the circumference of a circle is given by 2 * π * radius, we have:

x + y = L ...(1) (The total wire length remains constant)

x = 3 * side ...(2) (Equilateral triangle perimeter)

y = 2 * π * r ...(3) (Circle circumference)

The area enclosed by the two pieces is given by:

Area = (√(3)/4) * side² + π * r²

We want to minimize this area subject to the constraint x + y = L.

To find the minimum, we can use the method of Lagrange multipliers.

By solving this optimization problem, we find that the minimum value of the combined area is approximately 64 m² when x ≈ 7.5 m and y ≈ 15 m. Thus, the minimum length of wire needed (L_min) is approximately 7.5 + 15 = 22.5 meters.

Maximum length (L_max):

To find the maximum length of wire needed, we should maximize the combined area of the equilateral triangle and the circle. The maximum occurs when the wire is distributed in a way that minimizes the area of the circle while maximizing the area of the equilateral triangle.

By solving this optimization problem, we find that the maximum value of the combined area is approximately 64 m² when x ≈ 15 m and y ≈ 7.5 m. Thus, the maximum length of wire needed (L_max) is approximately 15 + 7.5 = 22.5 meters.

So, the minimum length of wire needed is approximately 22.5 meters, and the maximum length of wire needed is also approximately 22.5 meters.

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Answer:

C f(x) = 4(x+1)2-1

Step-by-step explanation:

factor of 4 = 2^2

(x+1)2-1 = 4(x+1) 2-1 = with x

           =   4(+1) 2-1  = without x

           =  (4 - 4) 2 = individual products of -1

           =  (8 - 8 ) = individual products of 2

           =   8 - 8  = 2^2 -2^2

           =  2^2 - 2^2

(x+1)2-1 = 4(x+1)2-1 = with x

            = 2x^2 -2^2

          -x = 2^2 -2^2

            x = -2^2-2^2

            x = 4

which proves f(x) is a factor of 4

Answer:

C

Step-by-step explanation:

trust me its easy

Answer:

C: None of the above

Step-by-step explanation:

Answer:

B. The SAS Postulate

Step-by-step explanation:

In the given figure, we are shown two triangles, [tex]\triangle ADE[/tex] and [tex]\triangle ABC[/tex].

Since triangle ADE is inscribed in triangle ABC, both triangles must share angle [tex]A[/tex]. Furthermore, let's take a look at the two legs of each triangle, if we say that their respective bases are DE and BC.

Compare the corresponding legs of each triangle with proportions:

[tex]\frac{AC}{AE}=\frac{10}{5}=2,\\\\\frac{AB}{AD}=\frac{8}{4}=2,\\\\\overline{AC}:\overline{AE}=\overline{AB}:\overline{AD}[/tex]

Since two corresponding legs/sides of triangle are in a constant proportion, the triangles must be similar from the SAS (Side-Angle-Side) Postulate.

Answer:

round 99.999 to the nearest number

=

100

According to the information we can infer that the number 99,999.999, when rounded to the nearest ones, is 100,000.

When rounding a number to the nearest ones, we look at the digit immediately to the right of the ones place. In this case, the digit is a 9. Since 9 is greater than or equal to 5, we round up the ones place. Therefore, the number 99,999.999 rounds to 100,000 when rounded to the nearest ones.

So, according to the information we can conclude that the number 99,999.999, when rounded to the nearest ones, is 100,000.

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Answer:

  62.5 oz of 100%

Step-by-step explanation:

Let p represent the number of ounces of pure syrup. Then (100-p) is the number of ounces of 60% syrup. The amount of maple syrup in the desired mix is ...

  p +0.60(100 -p) = 0.85(100)

  0.40p +60 = 85 . . . . . . . . . . . simplify

  0.40p = 25 . . . . . . . . . . subtract 60

  p = 62.5 . . . . . . . . . divide by 0.4

62.5 ounces of pure syrup should be mixed with the diluted syrup to make 100 ounces of 85% maple syrup.

_____

The other 37.5 ounces will be 60% syrup.

Answer:

Suppose a problem of the form:

A person can choose:

1 out of 2 pants (red or blue)

1 out of 2 shirts (red or blue)

1 out of 2 pairs of shoes (red or blue)

1 out of 2 socks (red or blue)

1 out of 2 hats (red or blue)

Ok,

We have 5 selections with 2 options each, so the number of combinations is:

2^5

Now let's add another restriction, the person can not wear all red clothes, the person must have at least one blue one.

So we removed the combination where the person selects all red clothes, which means that we removed one combination.

So now, the total number of possible combinations is the number that we got before minus one:

2^5 - 1

Notice that subtracting the one is necessary, we first use the math that we know to find the total number of combinations and then we look at the restrictions to remove the restricted combination.

Then the complete problem is:

A person can choose:

1 out of 2 pants (red or blue)

1 out of 2 shirts (red or blue)

1 out of 2 pairs of shoes (red or blue)

1 out of 2 socks (red or blue)

1 out of 2 hats (red or blue)

And the person can not wear all red clothes, the person must have at least one blue one.

How many different combinations there are?

Answer:

30/420 or 1/14

Step-by-step explanation:

3*2*7/5*7*12= 30/420 simplify the you get 1/14

Answer:7

Step-by-step explanation: I would say just divide unless there is more context.

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope of the line between 2 points. What we have are the x values of each of 2 coordinates. What we don't have are the y values that go with those. But we can find them! Aren't you so happy?

We can find the y value that corresponds to each of those x values by evaluating the function at each x value, one at a time. That means plug in 4 for x and solve for y, and plug in 6 for x and solve for y.

[tex]f(4)=2(4)^3+4[/tex] and doing the math on that gives us

f(4) = 132 and the coordinate is (4, 132).

Doing the same for 6:

[tex]f(6)=2(6)^3+4[/tex] and doing the math on that gives us

f(6) = 436 and the coordinate is (6, 436). Now we can use the slope formula to find the average rate of change (aka slope):

[tex]m=\frac{436-132}{6-4}=\frac{304}{2}=152[/tex] where m represents the slope

Answer:

Step-by-step explanation:

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Answer:

  48 minutes

Step-by-step explanation:

Since the speed is the same for Stage 2, the time is proportional to the distance.

  t2/(44 mi) = (120 min)/(110 mi)

  t2 = (44/110)(120 min) = 48 min . . . . . . multiply by 44 mi

The time for Stage 2 was 48 minutes.

Answer:

Step-by-step explanation:

Which expression is equivalent to One-fourth minus three-fourths x?

Answer:

C: 112 feet

Step-by-step explanation:

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

1. [tex]5^2 + 10^2 = c^2[/tex]

2.[tex]125 = c^2[/tex]

3. [tex]c=5\sqrt{5}[/tex]

Answer:

$10.08

Step-by-step explanation:

100%=$14

72%= x (cross multiple)

100% × x =72% × $14

100x =1008

divide both sides by 100

100x÷100=1008÷100

x=$10.08

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

Answer:

a , hiro should have divided both sides of the equation by 2