What is the tangent ratio of angle x?

Answer:

Test each set of lengths using Pythagoras' Theorem. Is a2+b2=c2?

Step-by-step explanation:

Answer:

You have to see each one and do the formula, a^2*b^2= c^2, then under'root the c^2 to become c

B because B is the answer

Answer:

$51.75

Step-by-step explanation:

Multiply 45.00 by 0.15 and you get 6.75

Once you get that add the 45.00 and the 6.75 to get 51.75 hope this helps

The multinomial setting goodness of fit test allows to check whether the distribution of a sample corresponding to a qualitative variable (or discrete quantitative variable) is consistent with the expected results.

The Chi-square goodness of fit test is a statistical hypothesis test used to determine whether a variable is likely to come from a specified distribution or not. It is often used to check whether the sample data is representative of the full population or is it biased.

The degrees of freedom for the chi-square goodness of fit is  calculated by using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns. The following conditions are the conditions required: The sampling method should be simple random sampling. The variable being observed is categorical. The expected value of the number of sample observations for each variable is at least 5.

Therefore, The multinomial setting goodness of fit test allows to check whether the distribution of a sample corresponding to a qualitative variable (or discrete quantitative variable) is consistent with the expected results.

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Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

Answer:

A

Step-by-step explanation:

Range = max value - min value = 21

Box plot A has a max of 26 and a min of 5

Range of box plot A = 26 - 5 = 21

✔️Box plot A has a range of 21

Interquartile range = Q3 - Q1

Q3 of Box plot A = 20

Q1 of Box plot A = 9

✔️Interquartile Range of Box plot A = 20 - 9 = 11

✔️Range of Box plot A is the value at the vertical line that divides the box = 14.

Let:

Wi = Initial weight

Wf = Final weight

x = amount of mass the substance lost

Therefore:

solve for x:

The given problem can be exemplified in the following diagram:

The amount of paper needed to wrap the box is equivalent to the surface area of the box.. the surface area is equivalent to the sum of the areas of each face. Therefore, the surface area is:

Each term is multiplied by two representing the two faces of the corresponding area:

Solving the operations:

Therefore, 472 square inches of wrapping paper is needed.

Thermal energy = ΔPE + ΔKE.

EXPLANATION:

STEP 1: Determine the initial potential energy of the block at point A (PE_A) and the final potential energy at point B (PE_B). The potential energy is calculated using the formula PE = m * g * h, where m is the mass of the block, g is the gravitational acceleration (9.81 m/s²), and h is the height.

STEP 2: Calculate the change in potential energy (ΔPE) by subtracting PE_B from PE_A: ΔPE = PE_A - PE_B.

STEP 3: Determine the initial kinetic energy of the block at point A (KE_A) and the final kinetic energy at point B (KE_B). The kinetic energy is calculated using the formula KE = 0.5 * m * v², where m is the mass of the block, and v is the velocity.

STEP 4: Calculate the change in kinetic energy (ΔKE) by subtracting KE_B from KE_A: ΔKE = KE_A - KE_B.

STEP 5: Finally, calculate the thermal energy produced in the block and the slope by adding the changes in potential and kinetic energy:

Thermal energy = ΔPE + ΔKE.

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Answer: Find the equation with a point and y-intercept.

y = 49/32x + 1/4

image below

Answer:

option (D) is the correct one ...

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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The standard deviation of the sample data is 6.70.

To calculate the standard deviation of a sample, we need to follow some steps:

Find the mean of the sample data. The mean is the sum of all data points divided by the number of data points in the sample.

In this case, we have 15 data points in the sample, so we can find the mean by adding up all the data points and dividing by 15:

Mean = (32+30+23+40+26+35+29+39+37+22+23+34+20+20+23)/15

Mean = 28.93

Add up all of the squared differences from step 2.

We add up all 15 squared differences to get:

Σ(x - μ)² = 9.425 + 1.524 + 28.09 + 110.89 + 7.29 + 35.69 + 1.69 + 88.89 + 62.41 + 42.49 + 28.09 + 26.49 + 68.89 + 68.89 + 28.09

Σ(x - μ)² = 628.02

Divide the sum of squared differences by the number of data points minus 1 (n-1) to get the sample variance.

Sample Variance = Σ(x - μ)² / (n-1)

Sample Variance = 628.02 / 14

Sample Variance = 44.86

Take the square root of the sample variance to get the standard deviation.

Standard Deviation = √(Sample Variance)

Standard Deviation = √(44.86)

Standard Deviation = 6.70 (rounded to two decimal places)

This means that the data is spread out from the mean by an average of 6.70 units.

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Answer:

Have u done it

Step-by-step explanation:

a.  The function for the total expenditures is F(x) = 4.11x² + 87.23x + 1386.52

b.  In 2017, total expenditures will be 3669.57 billion dollars.

a. Since the rate of increase of total expenditures is given as f(x) = 8.22x + 87.23, the function that gives the total expenditures x years after 2000 can be found by integrating the rate of increase:

F(x) = ∫ f(x) dx = 4.11x² + 87.23x + C

Since the total expenditures were $1590.5$ billion in 2002, we can use this information to find the constant $C$:

F(2) = 4.11(2)² + 87.23(2) + C = 1590.5

Solving for C, we get:

C = 1386.52

Therefore, the function that gives the total expenditures x years after 2000 is:

F(x) = 4.11x² + 87.23x + 1386.52 (in billions of dollars)

b. To find the total expenditures in 2017, we need to substitute x = 17 in the function F(x):

F(17) = 4.11(17)² + 87.23(17) + 1386.52≈ 3669.57

Therefore, the total expenditures in 2017 will be approximately 3669.57 billion dollars.

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The first statement is false and the second statement is true.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen. There are two types of random variables.

A random variable that takes a finite number of possible values can be defined as a Discrete random variable. A random variable that takes an infinite number of possible values can be defined as a Continuous random variable. A continuous random variable consists of only continuous values.

Continuous random variables are defined at intervals of values. Continuous random variables are represented by the area under a curve.

⇒  The number of cars that go through the drive-in window at a local bank each hour.

The number of cars can be counted and can be an integer like 10, 20,100 etc.

∵ The number of cars is countable it is not an example of a continuous random variable        

⇒ The high daily temperature in Anchorage.

High daily temperature can be an integer or function like 60°, 120° etc

∵ The high daily temperature is an example of a continuous random variable.

Therefore, The number of cars that go through the drive-in window at a local bank each hour is not an example of a continuous random variable and The high daily temperature in Anchorage is an example of a continuous random variable.

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The complete question is

\( = 5 {x}^{2} + 8x - 13 - 8 {x}^{2} + 4x - 6 \\ = 5 {x}^{2} - 8 {x}^{2} + 8x + 4x - 13 - 6 \\ = - 3 {x}^{2} + 12x - 19\)

ATTACHED IS THE SOLUTION

Answer:

A

Step-by-step explanation:

I took the test now that is what I got.

Hope this helps.

The function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

Given is that the amount of a certain radioactive substance decreases by 15% every hour. A sample starts with 100 g of this radioactive substance.

The function that represents the amount of radioactive substance left after {x} hours is -

f(x)=100(0.15)ˣ

Therefore, the function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

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Answer:

$202

Step-by-step explanation:

Answer:

The markup amount is 47%

Step-by-step explanation:

to calculate a markup percentage, subtract the original price from the new price: 630-428=202

take that number and divide it by the original price: 202÷428=0.47

multiply that number by 100 (or move the decimal twice to the right) to find the percentage: 0.47×100=47%

I hope this helped you! :)

The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

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The equation of the graph shown can be written in factored form as follows:

y = a(x - h)(x - k)(x - m)

To find the equation, we need to identify the x-intercepts and the minimum point of the graph.

From the description, we know that the graph starts at the top left and continues down through the x-axis at x = -4. This means that one of the factors is (x + 4).

Next, the graph reaches a minimum around y = -2.8. This indicates that the graph touches the x-axis at this point, so another factor is (x + 2).

Moving forward, the graph goes back down to another minimum around y = -0.4. Again, this means the graph touches the x-axis at this point. So we have another factor, (x + 1).

Now we have all the necessary factors: (x + 4), (x + 2), and (x + 1). To determine the coefficient "a," we can use the fact that the graph goes up after crossing the x-axis at x = -2. This suggests that "a" must be positive.

Therefore, the equation of the graph in factored form is:

y = a(x + 4)(x + 2)(x + 1)

Please note that without specific points, it is not possible to determine the exact value of "a" or the precise shape of the graph. The equation provided represents a general equation that satisfies the given conditions.

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Answer:

Option C

20, 21, 29 represents three sides of a right triangle

Step-by-step explanation:

By Using Pythagorean Triplet we can say that

20, 21, 29 represents three sides of a right triangle

(20)² + (21)² = (29)²

400 + 441 = 841

841 = 841

Thus, 20, 21, 29 represents three sides of a right triangle

-TheUnknownScientist

Answer:

c. A point reduces the interest rate by 1%.

Step-by-step explanation:

The forecast for period 9, using exponential smoothing with an alpha of 0.30, is $3,973.

To calculate the forecast for period 9 using exponential smoothing, we need to apply the exponential smoothing formula. The formula is:

F_t = α * A_t + (1 - α) * F_(t-1)

Where:

F_t is the forecast for period t,

α is the smoothing factor (alpha),

A_t is the actual value for period t,

F_(t-1) is the forecast for the previous period (t-1).

Given:

α = 0.30 (smoothing factor)

F_7 = $4,300 (forecast for period 7)

To find the forecast for period 9, we first need to calculate the forecast for period 8 using the given data. Let's calculate:

F_8 = α * A_8 + (1 - α) * F_7

Substituting the values:

F_8 = 0.30 * $3,728 + (1 - 0.30) * $4,300

= $1,118.40 + $3,010

= $4,128.40

Now that we have the forecast for period 8 (F_8), we can use it to calculate the forecast for period 9 (F_9) as follows:

F_9 = α * A_9 + (1 - α) * F_8

We don't have the actual sales data for period 9 (A_9), so we'll use the forecast for period 8 (F_8) as a substitute. Let's calculate:

F_9 = 0.30 * $4,128.40 + (1 - 0.30) * $4,128.40

= $1,238.52 + $2,899.88

= $4,138.40

Therefore, the forecast for period 9, using exponential smoothing with an alpha of 0.30, is $4,138.40, which can be rounded to $3,973.

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The rate of change, in square inches per second, of the area of the region at the instant when R is 44 inches and r is 33 inches is

8363 square inches

The rate of change is the derivative, the rate of change is calculated by differentiation the area

formula for area of concentric circle is given by

Area A = π(R^2 - r^2) =

R = radius of the inner circle

r = radius of the outer circle

δA/δt = δA/δRδr * δRδr/δt

δA/δt = π * (2RδR/δt - 2rδr/δt)

δA/δt = π * 2(R * δR/δt - r * δr/δt)

where R = 44 and δR/δt = 22

r = 33 and δr/δt = -11

= 2π(44 * 22 - 33 * -11)

= 2π (968 - -363)

=  2π (1331)

= 2662π

= 8362.9196 square inches

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