You have 10 pairs of socks, six black pairs and four blue pairs, but they are not paired up. Instead they are all mixed up in a drawer. If you don't look, but just pull out socks, How many individual socks must you pull out to sure to have a pair of black socks?

Answer:

C) -1/3

Step-by-step explanation:

Slope=rise/run

Slope=-1/3

Step-by-step explanation:

I believe it's 4 have a great day!

Answer:

The answer is 2.

Step-by-step explanation:

If you subtract 1 from both sides you get 14, and that leaves you with 2x>14, which if u divide 14/2x you get x=7.

1) Notice that the length of an arc is given by the following formula:

2) Notice that this is the formula in radians. Now, we can plug into that the given data:

Therefore, this is the answer.

Answer:

C) 53.3%

The probability that a data value is between 206 and 230

P( 206 ≤X≤230) = 0.5328 = 53.3%

Step-by-step explanation:

Explanation

Given that Mean of the Normal distribution(μ)  = 222

Given that the standard deviation of the Normal distribution (σ) = 16

Let 'X' be the random variable in the Normal distribution

we have to find that the probability that a data value is between 206 and 230

solution:-

Step(i):-

Let  'X' = 206

\(Z = \frac{x^{-}-mean }{S.D} = \frac{206-222}{16} = -1\)

Let X = 230

\(Z = \frac{x-mean }{S.D} = \frac{230-222}{16} = 0.5\)

Step(ii):-

The probability that a data value is between 206 and 230

P( 206 ≤X≤230) = P( -1≤Z≤0.5)

                          = |A(0.5)+A(-1)|

                         = 0.1915+0.3413

                         = 0.5328

final answer:-

The probability that a data value is between 206 and 230

P( 206 ≤X≤230) = 0.5328 = 53.3%

Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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Answer:

y= 2x-3  m=2 b= -3

Step-by-step explanation:

we distribute 2(x-2)

y-1 = 2(x-2)

y-1 = 2x-4

then add one to both sides

y-1= 2x -4

 +1       +1

since it is negative four and you are adding one it would be -3

y= 2x -3  that is your slope intercept form.

y= mx +b  so m=2 and b= -3

Answer:

option A is your answer okk

Answer:

19y/2 + 7y2

Step-by-step explanation:

Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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Answer:

Part A: It's linear because it increases at a constant rate of 14.99 dollars per month

Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)

Step-by-step explanation:

Part A: Every month, you have to pay the same amount.

1 month = 14.99

2 months = 14.99 + 14.99

3 months = 14.99 + 14.99 + 14.99

So, it's linear.

Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.

m = slope,   b = y-intercept (initial value)

Let's have the total cost  be represented as C

Let's also have the subscription per month be represented as M

So, C would = 74.99, because we only need to pay for a controller once

But we also our subsription per month, M, as 14.99.

So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables

I wanted to get more indepth. Try adding this to notes! <3

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

The sum of the first 7 terms for the geometric sequence with first term 3, seventh term 46,875, and common ratio 5 is 58,583.

A geometric progression is a sequence where each and every succeeding term is formed by multiplying the preceding term by a constant number. That constant number is called common ratio.

The common ratio is provided to be 5. While the first term is 3.

The seventh term is 46875.

The formula for sum of n terms of a GP is,

Sn = a(rⁿ-1)/(r-1)

We have to find sum of seven terms,

Sn = a(r⁶.r - 1)/(r-1)

Putting,

a = 3

r = 5

n =6

Sn = 3(5⁶.5 - 1)/(5-1)

Sn = (3.5⁶.5 - 3)/4

Sn = (46875×5 - 3)/4

Sn = (234375-3)/4

Sn = 234372/4

Sn = 58593.

The sum is 58593.

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The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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A population about which we want to get some information is called the sample.

This is a portion of a population that is known to contain several parts of the population. The information that is gotten from the sample would be used to draw conclusion about the entire information.

Therefore from the definition above the answer to the question is the population sample.

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40 dollars per day imk if I'm wrong

\(U(\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad N(\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{4}}} \implies \cfrac{2 +2}{-3} \implies \cfrac{ 4 }{ -3 } \implies - \cfrac{4 }{ 3 }\)

Answer:

There are 0

Step-by-step explanation:

Absolute value is the positive distance a number is away from 0, so no value of x will make the equation true

Answer:

A 0

Step-by-step explanation:

There are no solutions. Because the absolute value always returns a positive value, there are no solutions to this equation.

If x is negative, the answer will be positive. If x is positive the answer will still be positive. No value of x will give a value of -4. So there is no solution.

Answer:

1. 1/2*1/3

1*1/2*3

1/6

2.1/8*12

1*12/8

12/8

3/2

3.2(1/3)*2(6/8)

(3*2+1/3)*(2*8+6/8)

7/3*22/8

7*22/3*8

154/24

77/12

4.3(2/4)*4(2/5)

(3*4+2/4)*(4*5+2/5)

14/4*22/5

14*22/4*5

308/20

77/5

5.16 songs were written by the people

Step-by-step explanation:

Hope this helps u!!

Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.

The three typical measures of center are the mean, the median, and the mode.

The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.

The median is the middle value of the data set arranged in descending or ascending order.

The mode refers to the value that occurs most in the data set.

66 66 66 = 198

63 63 63 = 189

65 65 65 = 195

64 64 64 = 192

58 58 58 = 174

Total =      948

Mean = 63.2 (948 ÷ 15)

Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)

62 69 65 = 196

68 60 70 = 198

70 58 67 = 195

66 75 70 = 211

69 67 60 = 196

Total = 996

Mean = 66.4 (996 ÷ 15)

Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)

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Answer:

1 :)

Step-by-step explanation:

The statistical tests that van be used to analyze the relationship include multiple regression analysis and ANOVA.

There are several statistical tests that could be used to analyze the relationship between a student's level of education, gender, annual income, student loan debt, and the annual income of their parents.

One possibility is to use a multiple regression analysis, which would allow you to simultaneously examine the impact of all of these variables on annual income and student loan debt.

Another option could be to use a two-way ANOVA (Analysis of Variance) which would allow you to examine the interaction effects of the student's level of education and gender on annual income and student loan debt. And also, you can use chi-square test for categorical variables like gender. It ultimately depends on the specific research question and the type of data you have.

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The range of f(x) = |x - 3| + 2 is calculated to be y ≥ 2

In geometry range refers to all the possible values of the y coordinate

using the equation f(x) = |x - 3| + 2 and plotting the values shows that the range of f(x) = |x - 3| + 2 is [2, ∞),

this means that it includes all values greater than or equal to 2, but not 2 itself.

This can be visualized on a number line as all values to the right of 2, extending towards positive infinity.

The plot is attached

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The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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Step-by-step explanation:

a. For any function, in order for a vertical stretch to happen, a must be greater than 1 so the answer to a is

a>1.

b. For b, the graph will compress when a is between 0 and 1 but not equal to both.

So the answer to. b is

0<a<1.

c.A vertical stretch happens when a>1, a horinzontal compression also happens when a>1, if you confused let me explain

Consider the graph above. Let say we have a quadratic function

\((x - 3) {}^{2} \)

Let that be the parent function, if we stretch the function, a must be greater than 1 as we established in a.

In the fist picture, let say a=2.7

The function is stretched in the vertical direction

Now, let say if we affect x.

Here, let a=2.7 we know have

The function is being compressed when a>1, so that means that

we stretched vertically or compressed horizontally when a>1. It depends on the location of a. If a is outside the parenthesis, we will stretch by a factor of a. If a is I side the parenthesis, we will compress by a factor of a.

d. A must be negative or a<0

Answer:

3y +6

Step-by-step explanation:

8y + 10 − 4 − 5y

Combine like terms

8y-5y   +10-4

3y +6

Answer:

3y+6

Step-by-step explanation:

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2

Answer: C

Step-by-step explanation: Since Armand sent m text messages each hour for 5 hours, he sent 5m msgs. Tyrone sent p text messages each hour for 4 hours, he sent 4p msgs. To find the total we add 5m + 4p together.

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The total number of messages sent will be 5m + 4p. Then the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

On a Saturday afternoon, Tyrone and Armand exchanged p texts per hour for 4 hours and m texts per hour for 5 hours.

Then the expression that represents the total messages is written as,

⇒ 5 × m + 4 × p

⇒ 5m + 4p

The total number of messages sent will be 5m + 4p. Then the correct option is C.

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