circle o has diameter ab and chord ac. calculate the measure of cab id bc = 62⁰​

Answer:

There is significant preference among the 3 designs

Step-by-step explanation:

Given :

Design 1 Design 2 Design 3

54 38 28

H0 : no significant preference among the 3 designs

H1 : The preference among the designs are different

To test, we use the Chisquare test for independence ;

χ² = (observed - Expected)² / Expected

The sample size, n = 120

Expected = 120 / number of designs = 120 / 3 = 40

(54-40)^2/ 40 + (38 - 40)² / 40 + (28 - 40)² / 40

= 4.9 + 0.1 + 3.6

= 8.6

The Chisquare critical value at 95% = 5.99

Since ;

|χ² critical| < χ² statistic ; we reject the null and conclude that there is significant preference among the 3 designs

Answer:

To convert kilometres to metres, divide the value by 1000.

0.7 ÷ 1000 = 700 metres

Kayli swam 700 meters in the swimming pool

Hope this helps!

1 5

12 1 121

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Median of the given data is 8.5.

In statistics, the median is the middle value of the given list of data in order. Data or observations can be sorted in ascending or descending order.

Given data,

1 , 5, 12, 1, 121, 1, 121, 13

Arranging in ascending order

1, 1, 1, 5, 12, 13, 121, 121

Number of elements N = 8

When number of elements is odd

Median = (N/2 th term + (N/2)+1 th term)/2

Median = (8/2 th term + (8/2)+1 th term)/2

Median = (4th term + 5th term)/2

Median = (5+12)/2

Median = 17/2

Median = 8.5

Hence, 8.5 is the median of the given data.

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Answer:

One Apple.

Step-by-step explanation:

This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1

One apple.

Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.

In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given that, Elysia has 2 apples she gives 1 to her friend,

To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,

Number of apples Elysia left with = 2-1 = 1

Hence, Elysia will have one apple.

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Answer:

[tex]h(x) = \frac {3}{2}x + 1 \\ { \tt{let \: the \: inverse \: be \: { \bold{m}}}} \\ { \tt{m = \frac{1}{ \frac{3}{2}x + 1 } }} \\ \\ { \tt{m = \frac{2}{3x + 2} }} \\ \\ { \tt{m(3x + 2) = 2}} \\ \\ { \tt{3x + 2 = \frac{2}{m} }} \\ \\ { \tt{x = \frac{2 - 2m}{3m} }} \\ \\ { \tt{x = \frac{2}{3m}(1 - m) }} \\ \\ { \bf{h {}^{ - 1} (x) = \frac{2}{3x}(1 - x) }}[/tex]

Answer:

Mean = 4.8875

Median = 4.6

Mode = 4.5 and 7.7

Step-by-step explanation:

Mean is the sum of total of data divided by the sample size

Sum total = 1.5 + 4.7 + 6 + 7.7 + 7.7 + 4.5 + 2.5 + 4.5

Sum total = 39.1

Sample size = 8

Mean = 39.1/8

Mean = 4.8875

To get the median we need to first rearrange

1.5, 2.5, 4.5, 4.5, 4.7, 6, 7.7, 7.7

Median = 4.5 + 4.7/2

Median = 4.6

Hence the median is 4.6

Mode is the value occuring the most. Since 4.5 and 7.7 both occurs twice, hence the mode of the data is 4.5 and 7.7

Answer:

N' (-8,9) K' (-8,3) L' (-2,3) M' (-2,9)

Step-by-step explanation:

To translate the square 3 units to the left you would subtract 3 from the x-coordinates of the points shown.

The coordinates of the translated square KLMN is given by K' (-8,3) L' (-2,3) M' (-2,9) N' (-8,9)

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the square be represented as KLMN

Now , the coordinates of the square KLMN is

K ( -5 , 3 ) L ( 1 , 3 ) M' ( 1 , 9 ) N' ( -5 , 9 )

Now , let the translated square be represented as K'L'M'N'

When translating the square to three units to the left , the x coordinate of the square gets reduced by 3

So , the new coordinate of the square will be ( x - 3 , y )

Substituting the values in the equation , we get

K' = K ( -5 - 3 , 3 )

L' = L ( 1 - 3 , 3 )

M' = M ( 1 - 3 , 9 )

N' = N ( -5 - 3 , 9 )

So , on simplifying the equation , we get

The translated square is K' (-8,3) L' (-2,3) M' (-2,9) N' (-8,9)

Hence , the translated square is K' ( -8,3 ) L' ( -2,3 ) M' ( -2,9 ) N' ( -8,9 )

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Answer:

the answer is -175. I hope that helped

Answer:

a÷(b+c)≠(a÷b)+(a ÷c)

Step-by-step explanation:

To verify that a÷(b+c)=(a÷b)+(a ÷c)

Using the values ;

a=10 , b=5 , 6=2​

plugging the values into a÷(b+c) should give the same result as (a÷b)+(a ÷c) ;

That is, right hand side = left hand side

a÷(b+c) = 10 ÷ (5+ 2)

a÷(b+c) = 10 / 7

Also;

(a÷b)+(a ÷c) = (10/5) + (10/2) = 2 + 5 = 7

Given the result, it can be seen that ;

RHS ≠ LHS

10/7 ≠ 7

Answer: (f)

Step-by-step explanation:

Given

Line that passes through [tex](-\frac{1}{2},3)[/tex] and [tex](0,0)[/tex]

Using two point form, equation of a line is given by

[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Insert the values

[tex]\Rightarrow \dfrac{y-0}{x-0}=\dfrac{3-0}{-\frac{1}{2}-0}\\\\\Rightarrow \dfrac{y}{x}=-6\\\\\Rightarrow y=-6x[/tex]

Thus, option (f) is correct

Answer:

TRUE

Step-by-step explanation:

Those lines around the -5 mean the absolute value of the number, basically the value of the number without any negative signs. SO the absolute value of -5 is just 5.

5 IS GREATER than 3, so this is true

ur welcome :)

15 + 36 not-equals 41, so those lengths will not form a triangle.

15 squared + 36 squared = 1,521

41 squared = 1,681

Since a squared + b squared not-equals c squared, it will not be a right triangle.

15 squared + 36 squared = 297

41 squared = 82

Step-by-step explanation; did it on the website euphoria

The translation of the parent function is f ( x ) = | x + 6 | which is shifted 6 units to the left

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the transformation of the function be a translation , where

The parent function is f ( x ) = | x |

And , the translated function is f ( x ) = | x + 6 |

So , original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

And , the function is translated 6 units to the left

Hence , the translated function is f ( x ) = | x + 6 |

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Answer:

C

Step-by-step explanation:  

Answer: Assuming pi is rounded off to 3.14, it is 219.8 feet; if not it is 70π feet

Circumference=one revoloution

Circumference=Diameter times pi

C=Dπ

C=3.14*70

=219.8

219.8 feet

Answer:

[tex]0.\overline{369} = \frac{41}{111}[/tex]

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

[tex]x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}[/tex]

Answer:

It discusses the role of the God in influencing our decisions

Answer:

I believe it is choice D

Step-by-step explanation:

in the excerpt it talks about how sight gives us the ability to observe and experience. it also states "we prefer sight to almost everything else." hope I'm right! ☺️

Answer: Number “2”

Step-by-step explanation: I took the ck-12 Applications with Inequalities

Answer:

7

Step-by-step explanation:

Since it's on a line, we add up all of the numbers. So 1 + 2 + 4 = 7.

Answer:

7, 1, 5, and 3

Step-by-step explanation:

Because you have to consider all possibilities, you will have multiple different-looking number lines. Using the ratios given in the problem, just by playing around with the letters' placements on the number line you can easily find the length of AD.

Answer:

1000

Step-by-step explanation:

Volume = 10 * 10 * 10 = 1000

Answer:

[tex]Volume = 1000[/tex]

Step-by-step explanation:

Formula to find volume of cube:

[tex]Volume=a^{3}[/tex]

[tex]Volume = 10^{3}[/tex]

[tex]Volume = 10*10*10[/tex]

[tex]Volume = 1,000[/tex]

hope this helps.....

Answer:

-5/16 or -0.3125

Step-by-step explanation:

Answer:

-11/12

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

2b^2

Step-by-step explanation:

according to the question equation is

(a^2 + b^2 ) - (a^2 - b^2)

a^2 + b^2 - a^2 + b^2

plus a square and minus a square gets cancel

b^2 + b^2

since they are like terms they can be added

2b^2

Answer:

2b^2

Step-by-step explanation:

according to the question equation is

(a^2 + b^2 ) - (a^2 - b^2)

a^2 + b^2 - a^2 + b^2

= b^2 + b^2

like terms can be added

+2b^2

Answer:

A) (2x+3)(x+7) B) (3x-2)(x-5)

Step-by-step explanation:

A) 2x^2+17x+21=(2x+3)(x+7)

B) 3x^2-17x+10=(3x-2)(x-5)

Answer:

a) A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

b) attached below ( Matrix dose not exist )

c) attached below  ( Matrix does not exist )

Step-by-step explanation:

a) Matrix

A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

From the matrix ; Column 1 and Column 2 Belong to COL(A)

while : (1,1)^T  =  ( 1,0 )^T +  ( 0,1 )^T  i.e. (1,1)^T  ∈  Row( A )

and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T   i.e. (1, 2)^T  ∈  Row( A )

Hence ; all requirements are fulfilled in Matrix A

b)  The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T

Matrix is Non-existent because condition is not met

attached below

c) Rank | A |

dimension of column space= 4 , dimension of Row space = 3

Given that ; column space ≠ Row space

Hence Matrix does not exist

Answer:

x = 2

Step-by-step explanation:

→ Work out the area of the first triangle

0.5 × 4 × 7 = 14

→ Set up an equation for the second base

0.5 × x × 14 = 14

→ Simplify

7x = 14

→ Divide both sides by 7

x = 2

Answer:

option B = 2cm

Step-by-step explanation:

[tex]Area \ of \ first \ triangle = \frac{1}{2} \times base_1 \times height_1 \ [ \where base_1 = 4\cm \ height_1 \ = 7cm \ ][/tex]

                                 [tex]=\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2[/tex]

Given area of second triangle is same as first.

[tex]Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2 \ [ \ where \ height _ 2 = 14cm \ ][/tex]

                           [tex]14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm[/tex]

Answer:

grade-point average (GPA).

Step-by-step explanation:

The Independent variable may be explained as the variable which is used to manipulate the variable to be predicted. The Independent variable also called the predictor variable takes up several input values in other to observe how the predicted variable changes due to this independent variable. In the scenario described above, the independent variable is the Grade - point average, as it is used to make prediction or manipulate the value of the starting salary earned by a graduate. The starting salary earned is the predicted variable or dependent variable in this scenario.

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

Answer:

iii) a=3b/2

Step-by-step explanation:

7a-2b= 5a+b

7a-5a=2b+b

2a=3b

a=3b/2

I hope this helps!