Mixed in a drawer are 2 blue​ socks, 8 white​ socks, and 6 gray socks. You pull out two​ socks, one at a​ time, without looking. Find the probability of getting 2 socks of the same color.

Step-by-step explanation:

m)

and   y = 1200 sin 30  = 600 lb

  you can do this again for x ...except cos

    x = 1200 cos 30 = 1039.23 lb

You can check using this:

x^2 + y^2 = 1200^2      For the right triangle (Pyhtagorean Theorem

Answer:

Step-by-step explanation:

V = \(\pi r^{2} h\)

V = (3.14)(16)(12)

V = 50.24 cm³

Answer:

150x2/ [3] = 100

55 - [-22.5] x 2 = 100

84 x 4 - [6] = 330

200 + [8] - 10 = 198

Step-by-step explanation:

Hope this helps

Answer:

1. 3
2. 5
3. 6
4. 8

Step-by-step explanation:

I do not think BODMAS or BIDMAS applies in these questions otherwise it would be impossible

Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

4 more adults are needed

90 ÷ 6 = 15

15 - 11 = 4

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

K5.60.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(4,5)

Hope it helps.

Do comment if you have any query.

Using the normal distribution and the central limit theorem, it is found that  there is a 0.0284 = 2.84% probability of finding a sample mean mass of 695g or below.

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Normal Probability Distribution

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

In a set with mean and standard deviation , the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 p-value, we get the probability that the value of the measure is greater than X.

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.

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The probability of finding a sample mean mass of 695g or below is the p-value of Z when X = 695, thus:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{695 - 700}{2.625}\)

\(Z = -1.905\)

\(Z = -1.905\) has a p-value of 0.0284.

0.0284 = 2.84% probability of finding a sample mean mass of 695g or below.

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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Answer:

Let the number of fishes caught by Bryan's son be x. Since Bryan caught as many fish as his son, Bryan caught x fishes

Let the number of fishes caught by Elton's son be y. Since Elton caught three times as many fish as his son, Elton caught 3y fishes

All together, they caught 25 fish

This can be represented by the equation:

x + x + y + 3y = 25

2x + 4y = 25

2x = 25 - 4y

x = (25 - 4y)/2

The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton's son.

The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).

Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.

She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.

Mathematical Solution:

Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:

n × Surface Area = W.

Substituting the value of the Surface Area, we have:

n × (2lw + 2lh + 2wh) = W

2n(lw + lh + wh) = W

n(lw + lh + wh) = W/2

n = W/2(lw + lh + wh).

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

Given is the function as -

f(x) = (x - 3)²

{ 1 } -

The domain of the function f(x) = (x - 3)².

The function has no undefined points. So, we can write the domain as -

Domain → (- ∞ , + ∞)

{ 2 } -

The inverse of the function f(x) = (x - 3)².

We have -

f(x) = (x - 3)²

y = (x - 3)²

x = (y - 3)²

y - 3 = √x

y = 3 + √x

Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

I believe that it is (2,4)

Step-by-step explanation:

f(2) would be your y

4 would be your x

to write a point on a graph you wright (x,y)

(2,4)

The correct representation of function f(2) = 4 in coordinate form (x,y) is (2,4)

What is Mathematical function ?

Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.

In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.

Here, the given function is f(2)=4

which implies that the independent variable is x=2 which gives the value after substituting in the function gives value y=4.

Therefore,The correct representation of function f(2) = 4 in coordinate form (x,y) is (2,4)

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The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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Answer:

a)C

b)E

Step-by-step explanation:

a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C

b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.

The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

This is how the equation can be solved-

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Answer:

32 ft 12 in = 10.0584 m

Step-by-step explanation:

i didnt understand the question so i dont know if right

Answer: The function that are undefined for (x=0) is   and  and this can be determined by putting (x=0) in all the given expressions.

Given :

Function 1 -

Function 2 -

Function 3 -

Function 4 -

Evaluate each function at (x = 0) to determine which function is undefined for (x = 0).

Function 1 -

put (x = 0) in above function:

Therefore, it can be concluded that the above function is not defined for (x=0).

Function 2 -

put (x = 0) in above function:

Therefore, it can be concluded that the above function is not defined for (x=0).

Function 3 -

put (x = 0) in above function:

Therefore, it can be concluded that the above function is defined for (x=0).

Function 4 -

put (x = 0) in above function:

Therefore, it can be concluded that the above function is defined for (x=0).

SOLUTION

The shaded part is a sector.

It is one-fourth the area of the whole circle

Area of a circle is given as

So, the area of the shaded sector becomes

Hence, the answer is

The 99.5% confidence interval for a sample of size 353 with a mean of 75.7 and a standard deviation of 6.8 is: (74.94, 76.46)

To calculate the confidence interval, we can use the following formula:

CI = x ± tα/2 * s / √n

In this case, the critical value of the t-distribution for a confidence level of 99.5% is 2.776. Plugging in the other values, we get the following confidence interval:

CI = 75.7 ± 2.776 * 6.8 / √353

CI = (74.94, 76.46)

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To calculate the distance between two points:

We apply the following formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

We substitute data and solve:

\(\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }\)

The distance between the points (−3,− 8), (6, – 8) is 9.

Since Marlena places a square rug on her living room floor, the area of the her floor is NOT covered by the rug is option C. 63 square.

The area is known to be the measurement that expresses the size of a region on a plane or curved surface is called area.

Note that Surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Based on the question, the area of the her floor is NOT covered by the rug is: 12² - 9²

= 144 - 81

= 63ft²

Therefore, Since Marlena places a square rug on her living room floor, the area of the her floor is NOT covered by the rug is option C. 63 square.

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Marlena places a square rug on her living room floor, which is also a square. What area of her floor is NOT covered by the rug? A. 9 square ft B. 12 square ft C. 63 square ft D. 81 square ft

Answer:1.6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

if x = 0 ; y = 3

if x = -7 ; y = 0

A 0 + 7(3) = 21

0 + 21 = 21

21 = 21 (ok)

3(-7) + 0 = 21

-21 = 21 (false)

B

0 + 21 = 21

21 = 21 (ok)

(-3)(-7) + 0 = 21

21 = 21 (ok)