Which of the following linear equations has the steepest slope?
A. Y = -2x +11
B. y=+x+4
C. y - x +7
D. y - 7+2

Answer:

The null hypothesis: there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.

Step-by-step explanation:The null hypothesis can be a general statement mostly in statistics that proposes no difference or no relationship between 2 phenomena etc

Researchers always carry out a study to test against the null hypothesis ie the opposite of the null hypothesis showing that there is a difference. In this study, the researchers aim is to establish that there is a difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else. This goes against the null which states that

there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.

Answer:

The selection probability to be assigned to each of the package designs is 0.20

Step-by-step explanation:

Firstly, we need to assume that one design is just as likely to be selected by a consumer as any other design

so the probability of selecting any of the design is same and that is 1/5 = 0.20

Thus, what we are trying to say is that each of the package designs have an equal selection probability of 0.20

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x-1}{2}[/tex]

Step-by-step explanation:

We have the following function:

y = 2x + 1

Finding the inverse:

Exchange y and x, and then isolate y again. So

y = 2x + 1

Exchange y and x

x = 2y + 1

2y = x - 1

[tex]y = \frac{x-1}{2}[/tex]

So

The inverse function is [tex]f^{-1}(x) = \frac{x-1}{2}[/tex]

Answer:

0

Step-by-step explanation:

1x=x

-x/1=-x

x-x=0

Answer:

Brainleist !

Step-by-step explanation:

x - x /1

x - x = nothing or 0

Answer:

In fraction, Balu ate 1/2 of the whole cake

Step-by-step explanation:

Balu and Pumba shared 2/3 of a cake.

Balu eats three times as much cake as Pumba.

So let's take the 2/3 they shared as a whole.

Let's Balu share be x

And pumbs share be y

X = 3y

But x + 3y = 2/3

Since x = 3y

Y = x/3

x + x/3 = 2/3

4x/3 = 2/3

X = (2*3)/(4*3)

X = 2/4

X = 1/2

Balu ate half of the whole cake

In fraction, Balu ate 1/2 of the whole cake

Answer:

8.32 × 10^4

Step-by-step explanation:

The formula for the area of a triangle is 1/2×b×h.

1/2(320)(520) = 83,2000

83,200 in scientific notation is 8.32 × 10^4

Area = length x width

Area = 5/6 x 3/4

= (5x3) / (6x4)

= 15/24

= 5/8 square miles

Complete Question

The complete question is shown on the first uploaded image

Answer:

The confidence level interval is  [tex]0.016 \le C \le 0.404[/tex]

Step-by-step explanation:

The sample size is  [tex]n = 20[/tex]

The number planning to increase workforce is  [tex]x = 3[/tex]

 The confidence level is  [tex]c = 98[/tex]%

The value of proportion for a plus 4 method is

      [tex]p = \frac{x+2}{n+4}[/tex]

substituting values

      [tex]p = \frac{3+2}{20+4}[/tex]

       [tex]p =0.21[/tex]

The z-critical value at confidence level of 98% is

     [tex]z_{c}=z_{0.98} = 2.33[/tex]

This values is obtained from the standard normal table

The confidence level interval can be mathematically represented as

      [tex]C =p \ \pm z_{c} * \sqrt{\frac{p(1-p)}{n+4} }[/tex]

substituting values

      [tex]C = 0.21 \pm 2.33 * \sqrt{\frac{0.21(1- 0.21)}{20 +4} }[/tex]

       [tex]C = 0.21 \pm 0.194[/tex]

=>   [tex]0.016 \le C \le 0.404[/tex]

[tex]0.84 \div 3 = 84 \div 300 = 0.28[/tex]

Answer:

a. SST = 1816

SSR = 1511.804

SSE = 465.804

b. Coefficient of determination, R² = 0.832491079

c. The correlation coefficient r = 0.8636

Step-by-step explanation:

y = 23.194 + 0.318·x

Where:

x = Price

y = Overall score

The observed data are given as follows;

Brand                Price  Score

Bose                 180     76

Scullcandy       150      71

Koss                 95       62

Phillips/O'Neill 70       57

Denon              70       30

JVC                   35       34

[tex]SST = \sum \left (y - \bar{y} \right )^{2}[/tex]= 1816

[tex]SSR = \sum \left ({y}'-\bar{y{}'} \right )^{2}[/tex] = 1511.804

[tex]SSE = \sum \left (y - {y}' \right )^{2}[/tex] = 465.804

Coefficient of determination

[tex]Coefficient \, of \, determination = \dfrac{SSR}{SST}[/tex]= 0.832

Coefficient of correlation =

[tex]r = \dfrac{n\left (\sum xy \right )-\left (\sum x \right )\left (\sum y \right )}{\sqrt{\left [n\sum x^{2}-\left (\sum x \right )^{2} \right ]\left [n\sum y^{2}-\left (\sum y \right )^{2} \right ]}}[/tex]

Ʃxy  = 37500

Ʃx =600

Ʃy = 330

Ʃx² = 74950

Ʃy²  = 19966

[tex]r = \dfrac{6 \left (37500 \right )-\left (600 \right )\left (330 \right )}{\sqrt{\left [6\times 74950-\left (600 \right )^{2} \right ]\left [6 \times 19966-\left (330 \right )^{2} \right ]}} = 0.8636[/tex]

Answer:

D

Step-by-step explanation:

divide 10 times starting with 100.

The answer is 25/256 or 0.09765625

The height of the ball dropped from 100 feet on the 10th bounce is 0.09766 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the height of the ball after x bounce. Given that the ball rises to the height from which it has fallen, hence:

y = 100(1/2)ˣ

After the 10th bounce:

y = 100(1/2)¹⁰ = 0.09766

The height of the ball dropped from 100 feet on the 10th bounce is 0.09766 feet.

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Answer:

Increase the area of the deck by 12 square feet.

Step-by-step explanation:

The area of the deck increased by 12 square feet.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, Chris is constructing a diagram for a deck he is restructuring in his backyard.

The deck will be in the shape of a square, and he has labeled a side length with the equation below, where x represents the original deck area. Side length = V1 + 12

Increase the area of the deck by 12 square feet.

Therefore, the area of the deck increased by 12 square feet.

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Step-by-step explanation:

25 answer by considering

Answer:

61%

Step-by-step explanation:

16/26 x 100 = 61.538461

You have to round it up if the question tells you to round it up.

hope it helps! :)

Answer:

62%

Step-by-step explanation:

42 x 62% = 26.04

I am sorry if you get this wrong. I really hope this helps.

Answer:

1

Step-by-step explanation:

Answer:

-9 and -10

Step-by-step explanation:

x + x+1=-19

2x+1=-19

2x=-19-1

2x=-20

x=-10

x+1

-10+1=-9

Answer:

[tex]-9[/tex]

[tex]-10[/tex]

Step-by-step explanation:

[tex]x+x+1=-19[/tex]

[tex]2x+1=-19[/tex]

[tex]2x=-19-1[/tex]

[tex]2x=-20[/tex]

[tex]x=-20 \div 2[/tex]

[tex]x=-10[/tex]

[tex]x+x+1=-19[/tex]

[tex]x+1=-19-x[/tex]

[tex]-10+1=-19-(-10)[/tex]

[tex]-9=-19+10[/tex]

[tex]-9=-9[/tex]

Answer: C) 24

Step-by-step explanation:

first we take down the information given to us

sports shop sells rackets in

4 different weights

2 types of strings

3 grip sizes

Now to get the number of different rackets they could sell, you simply take the  multiplication of the number of racket gripe sizes, the types of strings and different weights they sell

so

4 * 2 * 3 = 24

therefore the sport shop could sell up to 24 different rackets .

Answer:

24

Step-by-step explanation: got it right on my test

Answer:

a. Discrete random variable

b. Discrete random variable

c. Discrete random variable

d. Discrete random variable

e. Continous random variable

f. Continous random variable

Step-by-step explanation:

a. The number of points scored during a basketball game.

This is a random variable, that only takes integer values, so it is a discrete random variable.

b. The number of free dash throw attempts before the first shot is made.

This is a count, so it is a discrete random variable.

c. The response to the survey question "Did you smoke in the last week question mark".

This is a boolean random variable (only two values), and can be considered discrete.

d. The number of people in a restaurant that has a capacity of 150.

This is a count of people, so it is a discrete random variable.

e. The time it takes for a light bulb to burn out.

Time is continous, so it is a continous random variable.

f. The height of a randomly selected giraffe.

Height, as it is a distance, is also a continous variable, so it is a continous random variable.

Answer:

e. the gender of the students in a class

Step-by-step explanation:

Quantitative data is measured is numbers. For example 1, 2, 3.5,...

Qualitative data are labels, that is, tall, short, male, female, Brazilian, Colombian,...

In this question:

The only data that is not measured in numbers is the gender of the studens in class, which can be male or female, they do not assume any numeric value. So the answer is e.

The quantitive data example does not include option e. the gender of the students in a class.

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Answer:

12p

Step-by-step explanation:

the perfect square is form

(p - 6)² = p² - 12p + 36

Answer:

12p

Step-by-step explanation:

p² - ? + 36 = p² - ? + (-6)² = p² -2*6*p + (-6)² = p² - 12p + 36 = (p-6)²

Answer:

24 ways

Step-by-step explanation:

1) In Combinatorics when we arrange a number and the order matter, we call it arrange the possibilities. For this exercise let's not use formulas but reasoning.

2) For this case we need a two figure number. Since we have seven numbers.

Since there is no repetition, all the possibilities are:

[tex]7*6=42[/tex]

3) But there is a restriction it's forbidden adjacent even and odd numbers: These numbers we don't want them:

13 15 17

24 26

31 35 37

42 46

51 53 57

62 66

71 73 75

18 non desirable results

The total arrangements minus the not possible combinations, will match the possible results:

[tex]42-18=24[/tex]

3) Just for checking, we have here the allowed combinations:

12 14 16

21 23 25 27

32 34 36

41 43 45 47

52 54 56

61 63 65 67

72 74 76  

A total of 24 possible ways.

Answer:

Step-by-step explanation:

1) Parallel lines have same slope

y =  3x + 2

m = 3

(2, -4)  ;  m = 3

equation:  y - y1 = m (x - x1)

y - [-4] = 3(x - 2)

y + 4 = 3x - 6

y = 3x - 6 - 4

y = 3x - 10

2) y = 18x + 2

m1 = 18

Slope the line perpendicular to  y = 18x + 2,  m2 = -1/m1 = -1/18

m2 = -1/18

(1 , -5)

[tex]y-[-5]=\frac{-1/18}(x-1)\\\\y+5=\frac{-1}{18}x + \frac{1}{18}\\\\y=\frac{-1}{18}x+\frac{1}{18}-5\\\\y=\frac{-1}{18}x+\frac{1}{18}-\frac{5*18}{1*18}\\\\y=\frac{-1}{18}x+\frac{1}{18}-\frac{90}{18}\\\\y=\frac{-1}{18}x-\frac{89}{18}\\\\[/tex]

Answer:

A. d= 45t

Step-by-step explanation:

(assuming that you meant 67.5 in the last 1.5 hours)

67.5 miles = distance

1.5 hours = time

therefore:

[tex]\frac{d}{t\\}[/tex] = 67.5/1.5

making your answer 45

leaving a as your correct answer:

d= 45t

The proportion relationship between the distance d, and the time t, that the train has travelled is, d = 45t. So the correct option is A).

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Given that, A train travels at a constant speed and has travelled 67.5 miles in the last 1.5 hours. (assuming that you meant 67.5 in the last 1.5 hours)

67.5 miles = distance

1.5 hours = time

We know that, speed = distance / time

s = 67.5/1.5

s = 45 mph

Now, distance = speed × time

d = 45t

Hence, the proportion relationship between the distance d, and the time t, that the train has travelled is, d = 45t. So the correct option is A).

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Answer: b) 45"

Step-by-step explanation:

Tv's are measured by their diagonal length.

Use Pythagorean Theorem to find the diagonal of the tv.

a² + b² = c²

36² + 27² = c²

1296 + 729 = c²

2025 = c²

√2025 = c

45 = c

Answer:

C

Step-by-step explanation:

Hope this helps

Answer:

C

Step-by-step explanation:

Wednesday hope this helps!

Answer:

P(2c - h, 2n - s )

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_________________________________________________

in the problem midpoint is m(c,n)

one point is Q(h,s)

let other point be P(x,y)

By using midpoint formula given above

for point P(x,y) and Q(h,s)

midpoint = (x+h)/2, (y+s)/2

also midpoint is m(c,n)

comparing m(c,n) with (x+h)/2, (y+s)/2

c = x+h/2

=> 2c = x+h

=> 2c - h = x

n = (y+s)/2

=> 2n = y+s

=> 2n - s = y

Thus, second endpoint is P(x,y) = P(2c - h, 2n - s )

Answer:

[tex]9.5[/tex]

Step-by-step explanation:

[tex]\sqrt{64}+\frac{6}{-2\left(-2\right)}[/tex]

[tex]\sqrt{64}+\frac{6}{2 \times 2}[/tex]

[tex]8+\frac{6}{4}[/tex]

[tex]\frac{19}{2}[/tex]

[tex]=9.5[/tex]

Answer:

Hello!

I hope that this is the answer you are looking for

=8.09320

That is the rounded answer.

I hope that helped you!

Step-by-step explanation: