Given angle 1 is congruent to angle 3

prove angle 6 is congruent angle 4

Answer:

Response bias would be something where answers would be skewed one way or another because of the way you asked. So maybe ask something embarrassing for someone to admit, like asking random students if they pick their nose. Some people will answer truthfully as no, and the people who do will likely also say no because they do not want to tell you that.

Answer:

A and C

Step-by-step explanation:

The angles and their images are congruent.

After using the arithmetic: They sold 40 small bowl of ice cream and 23 large bowl of ice cream.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the standard operations on numbers—addition, subtraction, multiplication, division, operation, and extraction of roots.

Main body:

Cost of small bowl of ice cream = $2.25

Cost of large bowl of ice cream  = $3

Total number of bowls sold = 63

total value  = $159

let number of small bowls be x and  large bowl be y.

Hence ,

x +y = 63                       ---(1)

2.25 x +3 y = 159          ---(2)

from equation 1 substitute the value of x in equation 2 .

2.25 x + 3 (63- x) = 159

2.25 x + 189 - 3x = 159

taking like terms to one side ,

3x - 2.25x = 189-159

0.75x = 30

x = 40

so x = 40 then y = 23.

Hence they sold 40 small bowl of ice cream and 23 large bowl of ice cream.

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The differences in dependent measures between levels are the main effects

The differences in the dependent measure between the levels of one variable within one level of another variable are known as simple main effects. These effects can be tested statistically to determine if they are statistically significant, which would indicate that the difference between the levels of the first variable is meaningful within the context of the second variable.

One independent variable having a certain degree of another independent variable is the simple main effect of a factorial experiment. The levels of the other independent variable are averaged over the primary effect of one independent variable. Results for a straightforward main effect are examined as though every level of the other independent variables had its own experiment.

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Answer: C - I agree

D - Square root 50 lies between integers 7 and 8

E - Find the closest integer to 40

Step-by-step explanation: C - 7/9 will be 0.77777778 which you can simplify to 0.777

D - The square root of 50 is 7.07106781187 so it is between the integers 7 and

E - The square root of 40 is 6.32455532034 which so find the clossest integer to 40

Answer:

2.8

Step-by-step explanation:

Set aside the 2 for now.

Divide 4÷5=0.8  NOTE: Order Matters!!

Add: 2 + 0.8 = 2.8  (Just put the 2 to the Left of the decimal.)

Answer: n + 14 = 37; Trina sold 23 boxes

Step-by-step explanation:

Answer:

The equation that represents the number of boxes Trina sold is: n + 14 = 37.

To solve for n, we can subtract 14 from both sides of the equation:

n + 14 - 14 = 37 - 14

n = 23

Therefore, Trina sold 23 boxes.

Step-by-step explanation:

Key distinction between parametric tests and nonparametric tests in terms of scales of measurement is that  parametric tests are used for interval and ratio data and non parametric tests are used for ordinal and nominal data.

i.e., the last given option.

For interval and ratio data, parametric tests are employed, while non-parametric tests are used for ordinal and nominal data

Data containing discrepancies or intervals are displayed in interval data.

The ratio data, which may be added to, subtracted from, multiplied by, or split, is the one in which statistical conclusions are used.

Ordinal data are measurements of quantitative data that are in order, such height and weight.

Nominal data are those that we measure quantitatively but do not require order or sequence, such as hair color or eye color.

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The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

A number is a numerical value that is used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics. A number is an arithmetic value used for representing the quantity and used in making calculations. Numericals are written symbols that represent numbers, such as "3." A number system is a writing system for representing numbers using digits or characters in a logical manner. Numbers are used to count, measure, and compare quantities. A number system is a set of symbols, or numerals, that are used to represent numbers.

Here,

The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

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Answer:

-1 2 1 -1

3 4 5 5

Answer:

the rate of change is 3x(slope)

The value of x will be;

⇒ x = 4

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

On a Right triangle,

⇒ A = 18x - 2 , B = 20 , C = ?

Now,

Since, On a Right triangle,

One angle is at 90 degree.

Hence, C = 90°

Since,  A = 18x - 2 , B = 20 , C = 90°

Hence, We get;

⇒ 18x - 2 + 20 + 90 = 180

⇒ 18x - 2 + 110 = 180

⇒ 18x + 108 = 180

⇒ 18x = 180 - 108

⇒ 18x = 72

⇒ x = 4

Thus, The value of x will be;

⇒ x = 4

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The solution of the given equation  (w² x 12) ÷ 10⋅z is obtained as (-0.64).

The stated equation is-

= (w² x 12) ÷ 10⋅z

The values are-

w = −4, x = 2, and z = −5, put in the equation-

= [(-4)² × 2)]/ [10 × -5 ]

= [16 x 2]/)-50)

= 32 / -50

= -0.64

Thus, the solution of the given equation (w² x 12) ÷ 10⋅z is obtained as (-0.64).

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The probability of the product of the numbers present on the top faces of all the four six sided dice is equal to 1/108.

As given in the question,

Number of six sided dice to be rolled = 4

Number of outcomes on one dice = 6

Total number of outcomes of 4 dice = 6⁴

                                                            = 1296

Conditions for the product of the numbers of top faces all four dice is prime:

Favourable outcomes are : ( 1, 1, 1,2), (1,1,2,1), (1,2,1,1), (2,1,1,1),

( 1, 1, 1,3), (1,1,3,1), (1,3,1,1), (3,1,1,1),( 1, 1, 1,5), (1,1,5,1), (1,5,1,1), (5,1,1,1)

Total number of favourable outcomes = 12

Required Probability = 12 / 1296

                                  = 1 / 108

Therefore, the probability of the product of all the four numbers on the top faces of the dice is equal to 1/108.

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Answer:

11.857

Hope this helps!

Answer: p≈11.86

Step-by-step explanation:

[tex]p=\sqrt{5.2^3} \\\\p=\sqrt{5.2^2(5.2)} \\\\p=5.2\sqrt{5.2}\\\\p\approx5.2(2.28)\\\\p\approx11.86[/tex]

Answer:

(-1.732,0) and (1.732,0)

Step-by-step explanation:

Ignore f(x). The solutions are also called x-intercepts and zeros. So the solutions would be where the parabola crosses the x axis. In my answer ignore the 0 in the coordinates. Just put in the -1.732 and 1.732.

The probability of odds as a decimal rounded to the nearest hundredth is 0.398.

The probability of odds is given by the formula -

Probability of odds = probability odds ÷ probability (1 + odds)

Probability odds = 0.66

Probability (1 + odds) = 1 + 0.66

Performing addition on Right Hand Side of the equation

Probability (1 + odds) = 1.66

Keep the values in formula to find the probability of odds

Probability of odds = 0.66/1.66

Performing division on Right Hand Side of the equation

Probability of odds = 0.398

Hence, the probability of odds is 0.398.

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Answer: M=1

Step-by-step explanation:

hope this help!

In the figure of triangles given figure C is not similar

Not similar

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

In figure  C no information is given about the angles hence they are not similar.

Figure B is similar by Side - Side - Side (SSS) and shows a proportion of 2

Figure D is similar by Side - Angle - Side (SAS), the include angle here are equal by vertical angle theorem

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Answer:

x = 65 degrees

Step-by-step explanation:

Let's say z=the angle adjacent (next to) to the 145 degrees angle.

80 + x + z = 180  ==> 180 is the total number of degrees in a triangle

z + 145 = 180  ==>   In addition, if you add up Angle z and 145

                               degrees, you get a straight line which totals to 180

                               degrees

z + 145 - 145 = 180 - 145  ==> solve for z

z = 35 degrees

80 + x + z = 180

80 + x + 35 = 180  ==> plug in 35 for z

80 + 35 + x = 180

115 + x = 180  ==> solve for x

115 - 115 + x = 180 - 115 ==> simplify

x = 65 degrees

Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}[/tex]

now, the y-intercept occurs when x = 0, recheck the picture below.

The required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.

Given that,
John deposits $ 8,000 in a certificate of deposit that pays .8% interest, compounded semi-annually.

Investment is defined as when an individual is spend money on something that returns him or her higher money than the money they or invest.

Here,

Interest earned in the 6 months,
= 8000 [0.08/2]
= $320
Balance after a year,
Amount = principal [1 + rate/n]ⁿ
= 8000[1 + 0.08/2]²
= $8652.8

Thus, the required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.

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Answer:

2/3

Step-by-step explanation:

4/3 or 1 1/2 divided by 2 is equal to 2/3

The probability that the next person will purchase exactly one costume is 67%.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

53 visitors purchased no costume.

151 visitors purchased exactly one costume.

22 visitors purchased more than one costume.

Total visitor = 53 + 151 + 22

= 226

Probability that the next person will purchase exactly one costume will be:

= Those with one custome / Total visitors × 100

= 151 / 226 × 100

= 67%

The probability is 67%.

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A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

Given that,

100-piece batches of canned soup are produced by Company X. They estimate that there are 2% faulty soup cans in circulation.

We have to find how many of the 3%, 8%, 1%, 2%, and 7% defective can percentages in the five batches fell beyond the higher or lower control limits for the percentage of defective soup cans in the batch.

We know that,

LCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=-0.022

Since probability can not be negative.

LCL=0

UCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=0.062

Therefore. A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

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The surface area of the box as a function of x will be f(x) = x² + 20000/x² where x is the length of the square base's edge.

Here it is given that the box has a square base.

This implies that length = breadth

Now, the volume of a box = lbh = 5000 cu in

where l is the length of the box. b is the breadth of the box, and h is the height of the box.

or, x²h = 5000

or, h = 5000/x²

Let the surface area function be f(x) where x is the length of the edge of the square base.

Since the box is open, the surface area will be

lb + 2bh + 2lh

= x² + 10000/x² + 10000/x

= x² + 20000/x²

Hence the surface area as a function of x will be

f(x) = x² + 20000/x²

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When a=4, b=1, and c=3, the value of the given expression, which is |a-b|²-c, is 28.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.

Here,

|a-b|²=(4-(-1))²

=25

25-(-3)

=28

The value of given expression that is |a-b|²-c is 28 when a=4, b=−1, and c=−3.

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The perimeter of the equilateral triangle is 48 cm

equilateral triangle

An equilateral triangle is a type of triangle in which all three sides are equal in length and all three angles are also equal, measuring 60 degrees each.

Given that: the area of an equilateral triangle is 64√3 cm²

The formula for the area of an equilateral triangle is given by:

A = (√3)/4  ×  a²

Where a is the length of the side

64√3 = (√3)/4  ×  a²

4 × 64√3 = (√3) ×  a²

4 × 64 = a²

a² = 4 × 64

a² = 256

a = √256

a = 16 cm

Perimeter of the equilateral triangle = a + a + a = 3a

Perimeter of the equilateral triangle = 3 × 16 = 48 cm

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Answer: c

Step-by-step explanation:

Therefore, the student would pay $2,994.20 more over the life of the loan than if they paid in cash.

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". Percentages are commonly used to express ratios, proportions, and rates. They are used in many areas of everyday life, such as in finance, business, and statistics. Some common examples include: Interest rates on loans and credit cards, Discounts on sale items in stores, Tax rates on income or purchases, Probability of events occurring, Performance metrics in sports and other competitions. Percentages can be converted to decimals or fractions for calculations, and vice versa.

Here,

If the student pays in full with cash, the total cost of the car is $10,000.

If the student chooses to finance the car, the monthly payment is $216.57 and the number of months is 60. The total amount paid over the life of the loan is:

Total paid = Monthly payment * Number of months

= $216.57 * 60

= $12,994.20

The amount paid over the life of the loan is the difference between the total paid and the initial cost of the car:

Amount paid over life of loan = Total paid - Initial cost

= $12,994.20 - $10,000

= $2,994.20

The correct answer is option O: $2,994.20.

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Answer:

y = x - 2

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 )

here m = 1 , then

y = x + c ← is the partial equation

to find c substitute (5, 3 ), that is x = 5, y = 3 into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = x - 2 ← equation of line