$2,400 principal earning 2%, compounded annually, after 7 years

Answer:

Scatterplot

Step-by-step explanation:

Bivariate data means that the data is in two variables. For example, if the height of the students is plotted against their age, this data will be the bivariate data.

A bivariate data is represented using the graph known as Scatter Plot. One variable is plotted along x-axis and second variable is plotted against y-axis. After plotting the two variables we can observe the relation(association) between the two variable using the line of best-fit which models the relation between the two variables.

So, the answer to this question is Scatterplot.

A graph that displays bivariate data is called a Scatterplot. It represents two variables and can indicate Positive Association, Negative Association, or No Association, based on the scatter pattern.

In the field of Statistics, a graph that displays bivariate data is referred to as a Scatterplot. Bivariate data represents two different variables, and a scatterplot is a graphical representation that uses dots to show the relationship, if any, between these two sets of data.

When looking at a scatterplot, the patterns of the dots can indicate associations. Positive Association is when as one variable increases, so does the other. Negative Association is when one variable decreases as the other increases. If the dots seem randomly scattered, it exhibits No Association.

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The predicted vital capacity of a 20-year-old, 5'5" female, using the provided equation, is approximately 3.97 liters.

To predict the vital capacity of this 20-year-old 5'5" female who weighs 120 pounds using the given equation, we first need to convert the height from feet to centimeters since standard medical measurements are usually in metric units. The conversion is 1 foot = 30.48 cm. Therefore, 5'5" = 5*30.48 cm + 5*2.54 cm = 165.1 cm. Now we can substitute the height (h) and age (a) into the equation: vc = (0.041) h - (0.018) a - 2.69 = (0.041*165.1) - (0.018*20) - 2.69 ≈ 3.97 Liters. Therefore, the predicted vital capacity of this 20-year-old 5'5" female is approximately 3.97 liters.

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Since one of the seven performers insists on being the first act, the remaining six performers can be arranged in '6!' (factorial of 6) ways. Therefore, there are 720 different ways to schedule the appearances of the variety show.

This problem is a permutation problem. Since one performer insists on being the first act of the evening, this leaves 6 other acts that can be arranged in any order. In permutation, if you have 'n' different items, they can be arranged in 'n!' (n factorial) ways. The factorial of a number n, denoted as 'n!', is the product of all positive integers less than or equal to n.

In this case, 6 performers can be arranged in '6!' ways. The factorial of 6 (6!) is 6 * 5 * 4 * 3 * 2 * 1 = 720. Therefore, there are 720 different ways to schedule the appearances of the remaining 6 acts after the first performer has gone on.

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The total cost of the ground beef bought by Coach Miller is calculated by multiplying the quantity (5.15 pounds) by the price per pound ($3.40). The total cost comes to $17.51.

The subject of the question is a practical application of multiplication in Mathematics. Coach Miller bought 5.15 pounds of ground beef at a rate of $3.40 per pound. To calculate the total cost, you simply need to multiply the quantity (5.15 lbs) by the price per unit ($3.40/lb).

So the calculation will be: 5.15 (pounds) × $3.40 (cost per pound) = $17.51 So, the total cost for all of the ground beef would be $17.51.

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Answer:

B. (b + 2)(a2 + 3)

Step-by-step explanation:

the answer is The distributive property hoped I helped

Answer:

2184 is what i got.

Step-by-step explanation:

Answer:

[tex]z=2\sqrt{2}(cos{\frac{\pi}{4}}+isin{\frac{\pi}{4}})[/tex]

Step-by-step explanation:

The given complex number is:

[tex]2+2i[/tex]

Now, the polar from of the complex number [tex]z=a+ib[/tex] is [tex]z=r(cos{\theta}+isin{\theta})[/tex].

Finding the absolute value of r:

[tex]r=|z|={\sqrt{2^2+2^2}[/tex]

[tex]r=\sqrt8[/tex]

[tex]r=2\sqrt{2}[/tex]

Now, find the value of argument,

Using formula, [tex]{\theta}=tan^{-1}(\frac{b}{a})[/tex]

[tex]{\theta}=tan^{-1}({\frac{2}{2})[/tex]

[tex]{\theta}=tan^{-1}(1)[/tex]

[tex]{\theta}={\frac{\pi}{4}}[/tex]

Thus, the polar form is:

[tex]z=2\sqrt{2}(cos{\frac{\pi}{4}}+isin{\frac{\pi}{4}})[/tex]

which is the required polar form.

The height of the cylinder with a given volume of 1323
cmcubed and a radius of 7 cm, divide the volume by the area of the base. The correct height is 27 cm.

The height of a cylinder given its volume and the radius of its base. To find the height, we'll use the formula for the volume of a cylinder, which is V = ()h, where V is the volume,  is the radius and h is the height.

Step-by-step calculation:

The volume of the cylinder is given as 1323cmcubed.

The radius (r) of the base of the cylinder is given as 7 cm.

Plugging these values into the formula: 1323cm³= (7 cm)²  imes h.

Simplify the equation: 1323cm³ = 49cm²  imes h.

Divide both sides by 49cm² to find the height: h = 1323cm³ / 49cm².

The resulting height is therefore 27 cm, which is the solution to the problem.

The height of the cylinder is 27 cm.

Solution:

A is the correct option.

Explanation:

We have been given that [tex](2r - 3s)^{12}[/tex]

The [tex]r^{th}[/tex] term of a binomial expansion [tex](a+b)^n[/tex] is given by

[tex]t_r=^{n}C_{r-1}a^{n-r+1}b^{r-1}[/tex]

For the given binomial expansion, we have

[tex]a=2r,b=-3s,r=2,n=12[/tex]

On plugging this value in the above formula, we have

[tex]t_2=^{12}C_{2-1}(2r)^{12-2+1}(-3s)^{2-1}\\\\t_2=^{12}C_1 (2r)^{11}(-3s)^{1}\\\\t_2=\frac{12!}{1!11!}(2)^{11}r^{11}(-3)s\\\\t_2=12\cdot (2)^{11}(-3)r^{11}s\\\\t_2=-73728r^{11}s[/tex]

Therefore, the second term is -73728r^11 s

A is the correct option.

The correct answer is 3192 cm3. I just did the test.

To find the sales price, multiply $99.50 by 35% to get the discount amount of $34.83, then subtract that from the original price, resulting in a sales price of $64.67.

To calculate the sales price of a video game that has a discount of 35%, first determine the amount of the discount by multiplying the original price by the percentage of the discount. The original price of the video game is $99.50. Therefore, you calculate $99.50 × 0.35 to find the discount amount.

The discount amount is $34.825. Next, subtract the discount amount from the original price to find the sales price: $99.50 - $34.825 equals the sales price.

It's also important to round the discount to the nearest cent as currency, resulting in a discount of $34.83. Thus, the sale price of the video game will be $99.50 - $34.83, which equals $64.67.

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To solve the problem, we can set up a system of equations. The solution is 12 dimes and 16 quarters.

To solve this problem, we can set up a system of equations. Let's say the number of dimes is x and the number of quarters is y. We know that the total number of coins is 28, so we can write the equation:

x + y = 28

We also know that the value of the dimes is 10 cents and the value of the quarters is 25 cents. The total value of the change is 520 cents, so we can write the equation:

10x + 25y = 520

We can solve this system of equations using substitution or elimination. Let's use substitution:

From the first equation, we can express x in terms of y:
x = 28 - y

Substitute this value of x into the second equation:
10(28 - y) + 25y = 520

Simplify and solve for y:
280 - 10y + 25y = 520
15y = 240
y = 16

Now substitute this value of y back into the first equation to find x:
x + 16 = 28
x = 12

Therefore, the man has 12 dimes and 16 quarters.

Final answer:

If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1.

Explanation:

The correlation coefficient measures the strength and direction of the relationship between two variables. If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1. A correlation coefficient of 1 indicates a perfect positive correlation, meaning the variables increase and decrease together.

A correlation coefficient of -1 indicates a perfect negative correlation, where one variable increases while the other decreases.

The box plot representing the data set 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50 will have the values at 5 (minimum), 12.5 (Q1 - 25th percentile), 25 (median), 37.5 (Q3 - 75th percentile), and 50 (maximum). The data is arranged in ascending order, divided into quartiles, and the median of each quartile is found.

To determine which box plot represents the data, we need to obtain the five-number summary of the data which includes the minimum, Q1 (25th percentile), median (Q2 - 50th percentile), Q3 (75th percentile), and the maximum.

Therefore, the box plot that represents this data will have values at 5 (minimum), 12.5 (Q1), 25 (median), 37.5 (Q3), and 50 (maximum).

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