1 point
3) ATTACH WORK FOR THIS QUESTION - WORTH 3 POINTS: Evaluate the
following expression below.

We are given the following inequality:

If we replace b = 2, we get:

Now we solve for "a" first by subtracting 8 on both sides:

Now we divide both sides by 6

Simplifying:

Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3

Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Answer:

=

6

=

0

Step-by-step explanation:

The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A quadratic equation (x - 2)(x - 4) = 8.

∴ x² - 4x - 2x + 8 = 8.

x² - 6x = 0.

x(x - 6) = 0.

So, x = 0 Or x - 6 = 0 ⇒ x = 6.

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Answer:

Step-by-step explanation:

The idea behind the standard deviation is to quantify the spread of a distribution by measuring how far the observations are from their mean. The standard deviation gives the average (or typical distance) between a data point and the mean.

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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x > 3

Step-by-step explanation:

The final step in solving the inequality –2(5 – 4x) < 6x – 4 is

-6/-2 < x = 3 < x

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.

If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:

E[2X ² - Y] = 2 E[X ²] - E[Y]

Or, if you're given the expectation and variance of X, you have

Var[X] = E[X ²] - E[X]²

→   E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]

Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.

Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:

17

Step-by-step explanation:

17 is our answer because you have to graph each answer choice and put it on the graphing calculator and you have to get same slope as the graph that u have.

Then I did that and I got 17 because its the same graph

hope this helps:)

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Consider the triangle PAM and triangle PBM.

Hence it is proved that,

Answer:

\(A'' = (6, -34)\)

Step-by-step explanation:

Given (Points)

\(C = (-3,8)\)

\(A = (3,-9)\)

\(P = (-1,-10)\)

Transformations:

Dilation: Center (0,0); Scale factor = 5

Translation: (x, y) --> (x-9,y +11).

Required

Determine the image of A

\(A = (3,-9)\)

Apply the first transformation:

i.e. dilation by a scale factor of 5

\(A'=A * 5\)

\(A'=(3,-9) * 5\)

\(A'=(3* 5,-9* 5)\)

\(A'=(15,-45)\)

Apply the second transformation:

i.e. translation: (x, y) --> (x-9,y +11).

\(A'=(15,-45)\)

\(A'' = (15 - 9, -45 + 11)\)

\(A'' = (6, -34)\)

Hence, the image of A is (6,-34)

Answer:

the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.

Step-by-step explanation:

The given inequality is:

cos(0.65x) > 0.44

To solve this inequality, we need to isolate the variable x.

First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:

arccos(cos(0.65x)) > arccos(0.44)

Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:

0 ≤ 0.65x < π

Now, let's solve for x by dividing each part of the inequality by 0.65:

0/0.65 ≤ x < π/0.65

Simplifying, we have:

0 ≤ x < π/0.65

Now, let's calculate the approximate value of π/0.65 to determine the interval for x:

π/0.65 ≈ 4.834

i hope i helped!

A. The green face of the figure is 6 square units. It is congruent with the contrary face which is obscured from view.

The back face, also non viewed, is 6 square units.

Blue faces total also is 6 square units, and the yellow also 6 square units.

Then, the surface area of this figure is:

(6x2)+6+6+6=30 square units.

B. So, if the top two cubes are removed, then the green face and its contrary would be 5 square units each.

The back face would be 4 square units, the blue faces still being 6 square units.

And the yellow faces would be 4 square units.

So, the surface area of the new figure would be:

(5x2)+4+6+4=24 square units.

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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a. The expression to represent the difference between the elevations is using integers = 5762 - (-9), or 5762 + 9.

b. The answer will be written as a positive integer since the elevation at the lowest point is given as a negative value (9 feet below sea level), and subtracting a negative number is equivalent to adding its positive counterpart.

c. The difference between the highest and lowest points of the county can be calculated thus:

5762 - (-9), or 5762 + 9, = 5771 feet.

An elevation refers to the height of an object or point above a given point of reference, usually sea level.

It is usually measured in feet or meters and relates to the height or altitude of a geographic location like a peak of a mountain or a city.

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Answer:

63 m/s

Step-by-step explanation:

h(3) = 3(3)² + 36(3) + 300 = 435

h(6) = 3(6)² + 36(6) + 300 = 624

v = Δh/Δt = (624m - 435m) / (6s - 3s) = 63 m/s

Answer:

a) The standard error is s = 0.071.

b) Yes, as both sample sizes are above 30.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Samples of size 86 drawn from population A with proportion 0.43

This means that \(n = 86, p = 0.43\). So:

\(s_A = \sqrt{\frac{0.43*0.57}{86}} = 0.0534\)

Samples of size 60 drawn from population B with proportion 0.15:

This means that \(n = 60, p = 0.15\). So:

\(s_B = \sqrt{\frac{0.15*0.85}{60}} = 0.0461\)

(a) Find the standard error of the distribution of differences in sample proportions A - B Round your answer for the standard error to three decimal places. Standard error=

This is:

\(s = \sqrt{s_A^2 + s_B^2}\)

\(s = \sqrt{(0.0534)^2 + (0.0461)^2}\)

\(s = 0.071\)

The standard error is s = 0.071.

(b) Are the sample sizes large enough for the Central Limit Theorem. Yes or No?

Yes, as both sample sizes are above 30.

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:

0.7

Step-by-step explanation:

\(\frac{7}{10}=\frac{70}{100}=0.70\)

Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.

In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.

In the given question,

We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:

6/total candies = number of lemon candies/100

We can cross-multiply to solve for the number of lemon candies:

number of lemon candies = 6 x 100 / total candies

We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:

total candies = lemon + orange + grape + cherry

Using the information from the table, we can estimate the total number of candies:

total candies = 6 + 5 + 8 + 13 = 32

Therefore, the estimated number of lemon candies in the bag is:

number of lemon candies = 6 x 100 / 32 = 18.75

We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.

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Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x + 10 = 43

-3x = 33

x = -11

The inequality is 30 + 7.5v ≤ 135

The number of visits Emma could make to earn her first free movie ticket is 14

From the question, we are to write and solve an inequality which can be used to determine the number of visits Emma can make to earn her first fee movie ticket

From the given information,

"She receives 30 rewards points just for signing up"

and

"She earns 7.5 points for each visit to the movie theater"

If she visits the movie theater v number of times,

Then,

She would earn

30 + 7.5v points

Also,

She needs at least 135 points for a free movie ticket.

Thus,

The inequality that could be used to determine the number of visits, v, to earn a free movies ticket is

30 + 7.5v ≤ 135

Solving the inequality

30 + 7.5v ≤ 135

Subtract 30 from both sides

30 - 30 + 7.5v ≤ 135 - 30

7.5v ≤ 105

v ≤ 105/7.5

v ≤ 14

Hence, the number of visits Emma could make to earn her first free movie ticket is 14

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Answer: 24

Step-by-step explanation:

7+(24/6)+(3²/3)+10

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

7+24/6+3^1+10      Also when I say 3^1 I mean 3 and the exponent is 1

Divide 24 by 6 to get 4.

7+4+3^1+10

Add 7 and 4 to get 11.

11+3^1+10

Calculate 3 to the power of 1 and get 3.

11+3+10

Add 11 and 3 to get 14.

14+10

Add 14 and 10 to get 24.