The temperature was -3°F
ast night. It is now -14°F.
What was the change in
emperature?

Answer:

1287 / 752538150 ≈ 0.00017%

Step-by-step explanation:

Of the 52 cards, 13 are spades.

There are ₁₃C₈ ways to choose 8 spades from 13.

There are ₅₂C₈ ways to choose 8 cards from 52.

So the probability is:

₁₃C₈ / ₅₂C₈

= 1287 / 752538150

≈ 0.00017%

Answer:

2 is the answers for the question

Step-by-step explanation:

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Answer:

2

h(2) = -4

Step-by-step explanation:

h(x)= -3x + 2

h(x) = -4

-3x + 2 = -4

-3x = -4 -2

-3x = -6

x = -6/-3

x = 2

The System of equations are h = -16t² + 24t + 6,

h = -16t² + 6t + 24.

In rudimentary variable based math, the quadratic recipe is an equation that gives the solution(s) to a quadratic condition. Instead of using the quadratic formula, you can solve a quadratic equation by factoring (direct factoring, grouping, and the AC method), completing the square, graphing, and other methods.

Given Daryl throws a ball from height  = h₀ = 6 ft

and initial velocity = v =  24 ft/s

acc. to equation of parabola

h = -16t² + vt + h₀

where v = initial speed and h₀ = height

Equation for Daryl is

h = -16t² + 24t + 6

For Cheryl

throws ball from height = h₀ = 24 ft

initial speed of ball = v = 6 ft/s

Equation for Cheryl is,

substitute values of h₀ and v

h = -16t² + 6t + 24

Hence the system of equations models this situation correctly are  

h = -16t² + 24t + 6 and h = -16t² + 6t + 24.

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The correct system of equations which models this situation correctly is,

h = -16t² + 6t + 24.

The quadratic recipe is an equation that gives the solution(s) to a quadratic condition. Instead of using the quadratic formula, you can solve a quadratic equation by factoring (direct factoring, grouping, and the AC method), completing the square, graphing, and other methods.

Given that;

Daryl throws a ball from height  = h₀ = 6 ft

and initial velocity = v =  24 ft/s

Now, according to equation of parabola we have;

h = -16t² + vt + h₀

where v = initial speed and h₀ = height

Here, Equation for Daryl is,

h = -16t² + 24t + 6

For Cheryl

throws ball from height = h₀ = 24 ft

initial speed of ball = v = 6 ft/s

Hence, Equation for Cheryl is,

substitute values of h₀ and v;

h = -16t² + 6t + 24

Hence the system of equations models this situation correctly are  

h = -16t² + 24t + 6 and h = -16t² + 6t + 24.

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If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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Answer:

$13.5

Step-by-step explanation:

50 x 0.27

= 13.5

The center of the circle is (13, 2)

The radius of the circle is 9

To find the center and radius of the circle described by the equation:

(x + 13)² + (y + 2)² = 81

We can compare with the standard form of the equation of the circle which is

(x - h)² + (y - k)² = r²

it can be deduced that

-h = 13, h = -13

-k = 2, k = -2

r² = 81, r = 9

This is the equation for a circle with center at (13, 2) and radius 9. So the center of the circle is (13, 2) and the radius is 9.

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Answer:

Center = (-13,-2)
Radius = 9

Answer:The answer is 5622580

Step-by-step explanation:

Answer: 1.09

Step-by-step explanation:

Given the following :

Year__growth rate ___growth factor

1 ______10.5% _____ 100%+10.5%

2______12.1%______ 100%+12. 1%

3______13.5%______ 100%+13.5%

4______3.5%_______ 100%+3.5%

5______7.3%_______ 100%+7.3%

The geometric mean:

(Product of the n data values)^(1/n)

Where n = number of data values

For the data above, the average growth factor :

n = 5

(1.105×1.121×1.135×1.035×1.073)^(1/5)

= (1.561362785497125)^(1/5)

= 1.0932028

= 1.09

Hence, average growth factor = 1.09

The implications of Constructivist approach in teaching mathematics is that it helps the students to develop a better way to comprehend the content of what they are being taught.

A constructive approach of teaching mathematics believes that students construct knowledge rather than just passively take in information.

A constructive approach of teaching also believes that students integrate new knowledge with existing knowledge to create a deeper understanding of the mathematics being taught to them.

Therefore, constructive approach of teaching can help the students to comprehend the content of what they are being taught.

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Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

To estimate the probability that a randomly selected consumer will recognize Amazon given that in a study of brand recognition, 1188 consumers knew of Amazon and 4 did not, is 99.7%.

Given data:

Number of consumers who knew about Amazon = 1188

Number of consumers who did not knew about Amazon = 4

Total consumers = 1188 + 4 = 1192

Formula used:

Probability of event A happening = Number of favourable outcomes of event A/Total number of outcomes

Probability of consumers recognizing Amazon = Number of consumers who knew about Amazon / Total number of consumers                                                            = 1188 / 1192

                                                                              = 0.997

Therefore, the probability that a randomly selected consumer will recognize Amazon is 0.997 or 99.7%.

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Answer:

x = -(2 i π n)/(5 log(3)) + 1/5 for n element Z or 1/5

Step-by-step explanation:

Solve for x:

9^(-x) = 3^(3 x - 1)

Hint: | Take logarithms of both sides to turn products into sums and powers into products.

Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):

-2 log(3) x = log(3) (3 x - 1) + 2 i π n for n element Z

Hint: | Write the linear polynomial on the right-hand side in standard form.

Expand out terms of the right hand side:

-2 log(3) x = -log(3) + 3 log(3) x + 2 i π n for n element Z

Hint: | Isolate x log(3) to the left-hand side.

Subtract 3 x log(3) from both sides:

-5 log(3) x = 2 i π n - log(3) for n element Z

Hint: | Solve for x.

Divide both sides by -5 log(3):

Answer: x = -(2 i π n)/(5 log(3)) + 1/5 for n element Z

_____________________________

Solve for x over the real numbers:

9^(-x) = 3^(3 x - 1)

Hint: | Take logarithms of both sides to turn products into sums and powers into products.

Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):

-2 log(3) x = log(3) (3 x - 1)

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by log(3):

-2 x = 3 x - 1

Hint: | Isolate x to the left-hand side.

Subtract 3 x from both sides:

-5 x = -1

Hint: | Solve for x.

Divide both sides by -5:

Answer: x = 1/5

Answer:

First term: 3

Common difference: -1

Step-by-step explanation:

3rd term: 1

6th term: x

10th term: 3x

Formula for the nth term using the common difference d and the first term a1:

an = a1 + (n - 1)d

Third term: a3 = a1 + (3 - 1)d = a1 + 2d = 1

6th term: a6 = a1 + (6 - 1)d = a1 + 5d = x

10th term: a10 = a1 + (10 - 1)d = a1 + 9d = 3x

a1 + 2d = 1       Eq. 1

a1 + 5d = x      Eq. 2

a1 + 9d = 3x    Eq. 3

Eq. 2 - Eq. 1

3d = x - 1

Eq. 3 - Eq. 2

4d = 2x

x = 2d

3d = x - 1

Substitute 2d for x.

3d = 2d - 1

d = -1

a1 + 2d = 1

a1 + 2(-1) = 1

a1 = 3

Check:

Here are the first 10 terms:

3, 2, 1, 0, -1, -2, -3, -4, -5, -6

The third term is 1. Correct

The tenth term (-6) is 3 times the 6th term (-2). Correct

Answer:

First term: 3

Common difference: -1

Answer:

Just subtract the area of two triangles from the area of the rectangle

Step-by-step explanation:

Answer:

149 ft^2

Step-by-step explanation:

First, figure out the whole square area.

Which is 9 1/4 x 20 = 185

One triangle is 6 x 6 x .5 because the formula of a triangle is A=bh1/2.

Triangle=18

There are two triangles so its 36.

185-36 = 149

Is this helpful? Tell me if you need me to further explain.

Answer:

What is 2 raised to the power of 3?

2 x 2 x 2

= 8

Step-by-step explanation:

Hope this helps.

647.2 is your answer

may you please help me with my newest question?

Answer:

x≤-2 or x≥4

Step-by-step explanation:

Its because the direction the arrow is facing depends on the sign. So if the sign is ≤ it would go backward(or into the negatives) and its the opposite for the other sign. If the dot on the arrow it filled in then it will have a line under the sign like this: ≤. If it is a open circle it looks like this:  <.

Answer:

I believe it is 24

Step-by-step explanation:

(2) (-3) (-4)

(-6) (-4)

24

Answer: 2 1/4

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The procedure of selecting a sample is thus called, fulfilling two fundamental properties:

-All individuals in the population have the same probability of being elected.

-All samples of the same size are equally likely.

From a mathematical point of view, simple random sampling is performed assuming that the population has infinite elements. In practice, it is often the case that the populations to be considered have a very large number of elements, which can be compared to a situation with infinite elements.

Yes, it is possible to sample data instances using a distribution different from the uniform distribution.

In excel, do the following to obtain a sample dataset.

E.g. to create a 5 element sample from the standard normal distribution, place the formula = NORM.S.INV (RAND ()) in cell A1, highlight the range A1: A15 and press Ctrl-D.

Answer:

31/40

Step-by-step explanation:

Answer:

The 90% confidence interval for the difference in mean number of days meeting the goal  is (4.49, 18.11).

Step-by-step explanation:

The (1 - α)% confidence interval for the difference between two means is:

\(CI=\bar x_{1}-\bar x_{2}\pm z_{\alpha/2}\times SE_{\text{diff}}\)

It is provided that:

\(\bar x_{1}=45\\\bar x_{2}=33.7\\SE_{\text{diff}} =4.14\\\text{Confidence Level}=90\%\)

The critical value of z for 90% confidence level is,

z = 1.645

*Use a z-table.

Compute the 90% confidence interval for the difference in mean number of days meeting the goal as follows:

\(CI=\bar x_{1}-\bar x_{2}\pm z_{\alpha/2}\times SE_{\text{diff}}\)

    \(=45-33.7\pm 1.645\times 4.14\\\\=11.3\pm 6.8103\\\\=(4.4897, 18.1103)\\\\\approx (4.49, 18.11)\)

Thus, the 90% confidence interval for the difference in mean number of days meeting the goal  is (4.49, 18.11).

12x = (10)(11)

12x=110

x=110÷12

x=55/6

Answer:

48x>+2

Step-by-step explanation:

The number line that shows the solution to the inequality is given as follows:

First number line.

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

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The number line that shows the solution to the inequality is: C. graph C.

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

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Answer:

\(2\cdot5\cdot3^{2}\cdot7\)

Step-by-step explanation:

630 tree:

2x315

5x63

3x21

3x7

So its 2x5x3x3x7

Or, 2x5x3^2 x 7.

Hope this helps :D