You find a mutual fund that offers approximately 6% APR compounded
monthly. How much will you need to invest each month for the next year in
order to have $1000?

Answer:

What subject

Step-by-step explanation:

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable.  There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines

given

Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.

-Variable: The expense of health care per year

400 clients were used as a sample in this study by the insurance business.

The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.

-Parameter: The annual average cost of health care for all customers of the insurance provider.

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

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Answer:

a)

0.3632 = 36.32% approximate probability that 15 or fewer turn right.

0.369 = 36.9% exact probability that 15 or fewer turn right.

b)

0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.

0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.

This means that [tex]p = \frac{1}{3}[/tex]

50 vehicles

This means that [tex]n = 50[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 50\frac{1}{3} = 16.67[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50\frac{1}{3}\frac{2}{3}} = 3.33[/tex]

a. 15 or fewer turn right.

Using continuity correction, this is [tex]P(X \leq 15 + 0.5) = P(X \leq 15.5)[/tex], which is the pvalue of Z when X = 15.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.5 - 16.67}{3.33}[/tex]

[tex]Z = -0.35[/tex]

[tex]Z = -0.35[/tex] has a pvalue of 0.3632

0.3632= 36.32% approximate probability that 15 or fewer turn right.

Using a binomial probability calculator, to find the exact probability, we get a 0.369 = 36.9% exact probability that 15 or fewer turn right.

b. at least two-thirds of those in the sample turn.

Turn either left or right, so:

[tex]p = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex]

The standard deviation remains the same, while the mean will be:

[tex]\mu = E(X) = np = 50\frac{2}{3} = 33.33[/tex]

Two thirds of the sample is 33.33, so at least 34 turning, which, using continuity correction, is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33.5 - 33.33}{3.33}[/tex]

[tex]Z = 0.05[/tex]

[tex]Z = 0.05[/tex] has a pvalue of 0.5199

1 - 0.5199 = 0.4801

0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.

Using a binomial probability calculator, we find a 0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.

Answer and Step-by-step explanation:

The answer is D. z = x + 6

This is because the values for x, when plugged in for x, correlates to the values of y shown in the table.

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Answer:

6x4=24

Step-by-step explanation:

Answer:

The area of this trapezoid is equal to 240 [tex]m^{2}[/tex]

Step-by-step explanation:

The area of a trapezoid can be found by using the following formula...

[tex]Area = \frac{(a + b)h}{2}[/tex]   (in this formula a and b are the bases of the trapezoid and h is

                         the height of the trapezoid).

Now we just substitute the values and get...

[tex]Area = \frac{(a + b)h}{2} = \frac{(9 + 15)(20)}{2} = \frac{480}{2} = 240m^{2}[/tex]

Answer:

Step-by-step explanation:

The function f(x) is a logarithmic function with a vertical asymptote of x = -4. The range of the function is (-∞, ∞), and it is decreasing on its domain of (-4, ∞). The end behavior on the LEFT side is as x → -4 (from the right), y → ∞, and the end behavior on the RIGHT side is as x → ∞, y → -∞.

The characteristics of the logarithmic function are described below:

The graph of the function is attached below. After a quick analysis, we conclude the following characteristics of the given function:

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Answer:

x + y = -1

Step-by-step explanation:

4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1

Answer:

3 ÷ 25 = 0.2

0.2 × 10

= $ 10

............

Answer:

D. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm

Answer:

171 degrees

Step-by-step explanation:

x + 9 = 180

x = 171

First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.

The assumption is equivalent to the following two statements:

(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]

(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]

Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].

On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].

Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.

The circumference of this circle is equal to 50.24 centimeters.

In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle simply refers to the set of all data points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Based on the image of this circle (See attachment), we can logically deduce that its radius is equal to 8 centimeters.

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = 2 × 3.14 × 8

Circumference of circle, C = 50.24 centimeters.

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Answer:

D

Step-by-step explanation:

The absolute value means its just not negative, So If you see a number inbeteen the absolute value, just forget about the negative sign and make it positive

Ex: |-1| = 1

|-423242| = 423242

its that easy, then you just find which one is in the right order

Answer:

y=3x+13

2x=y-9

Step-by-step explanation:

i need to know :(

Answer:

Step-by-step explanation:

Substitute 1 in 2 and solve for x.

2x=y-9

2x=3x+13-9

2x = 3x+4

-x = 4

x = -4

Then use equation 1 to solve for x.

y = 3x+13

y = -12+13

y= 1

Answer:False

Step-by-step explanation:

Answer:

wth

Step-by-step explanation:

give us the god dang question and stop being lazy

Answer:

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

add expressions for each angle then combine 'like terms':

6x - 5 + 2x - 3 + x + 8 = 180

9x - 8 + 8 = 180

9x = 180

x = 180/9

x = 20

Answer:

C.11

Step-by-step explanation:

yellow fur and green eyes =19 students

brown fur and brown eyes= 8 students

subtract them

19-8=11 students

Answer:

D

Step-by-step explanation:

If the necklace must cost less than $12.75, then it would be shown either $12.75 > p (being greater than p) or p < $12.75 ( meaning that P is worth less than $12.75. And with that, the cost must have a maximum of $12.75 making D the answer.

Answer:

4500 ml kkkkkkkkkkkkkkkkkk

Answer:

D. [tex]L > J > K[/tex]

Step-by-step explanation:

Thus, we have to utilize the angle relationships in a triangle.

⭐The largest side is always opposite of the largest angle

⭐The smallest side is always opposite of the smallest angle

1. Identify the side lengths of triangle JKL

2. Determine which vertecies are opposite of each side length (draw the figure)

3. Determine which angles are the greatest, smallest, and in-between

4. Write what you found in #3 in terms of inequalities

∠L > ∠J > ∠K

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Answer: [tex]150^{\circ}[/tex]

Step-by-step explanation:

By the exterior angle theorem,

[tex]m\angle BQR=50^{\circ}+100^{\circ}=\boxed{150^{\circ}}[/tex]

The solution to the equation log₇343 = 3 is 7³ = 343

An equation is used to show the relationship between numbers and variables.

The logarithm can be defined as the exponent that raises a base to get a particular number. The law of logarithm states:

logₓm = n is the same as xⁿ = m

Given the equation:

log₇343 = 3

Applying the law of logarithm gives:

7³ = 343

The solution to the equation is 7³ = 343

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Answer:

  (b)  y < x-1; y ≤ -2x+2

Step-by-step explanation:

You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.

If the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.

Here, the line with positive slope is dashed, and the line with negative slope is solid.

  y = x -1 . . . . is a line with positive slope

  y = -2x +2 . . . . a line with negative slope

The shading is below the line for y-values less than those on the line:

  y < x -1 . . . . shading below a dashed line with positive slope

  y ≤ -2x +2 . . . . shading below a solid line with negative slope

These are the inequalities of interest.