(2.1)to the power of2 +5.2-7.2)x7.1

First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.

The assumption is equivalent to the following two statements:

(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]

(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]

Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].

On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].

Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.

Answer:

The first table is correct

Step-by-step explanation:

x=Yellow   Prob

0               .5625

1                .375

2               .0625

The attached document shows a tree diagram with all 16 outcomes.  Each outcome has probability 1/16.

The numbers at the right show the numbe of yellows for each outcome.  There are 9 outcomes with 0 yellow (prob = 9/16).

There are 6 outcomes with 1 yellow (prob = 6/16)

There is 1 outcome with 2 yellow (prob = 1/16)

Sorry about the watermarks--distracting!

Based on the given set of values, we can note that the first table is correct

This refers to the calculations of the way an event is most likely to occur.

Hence, the table for  x=Yellow   Prob

0               .5625

1                .375

2               .0625

For each outcome, there is probability 1/16.

The numbers at the right show the number of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).

There are 6 outcomes with 1 yellow (prob = 6/16)

There is 1 outcome with 2 yellow (prob = 1/16)

Hence, because the calculated values are consistent with the values in the first table, then we can conclude that the first table is correct.

Read more about probability here:

https://brainly.com/question/25870256

Answer:

Step-by-step explanation:

6

Answer:

2 19/28 or 75/28

Step-by-step explanation:

Find common denominators then add, simplify if needed.

Answer:

[tex]\left \{ {{20} \atop {3}} }.[/tex]

Step-by-step explanation:

supply = Infinite

supposing you intend to package the marbles in bags of 17

Determine the number of distinguishable collections of marbles that could be in the bags

Given that ; n = 17 ,  K = 4

The distinguishable collections = [tex]\left \{ {{20} \atop {3}} }.[/tex]

attached below is the detailed solution

Answer:

hiro ..................

There are six sides to a die and only one side has a two, so the probability of rolling a 2 is 1/6.

There are two sides to a coin and only one side has a head, so the probability of its coming up heads is 1/2.

The two events (rolling a die and flipping a coin) are independent, so the probability of both events occurring is (1/6)(1/2) = 1/12

She need a interest rate of 5.56%

Your wealth increases more quickly due to compound interest. Due to the fact that you will receive returns on both the money you invest and returns at the conclusion of each compounding period, it causes a sum of money to increase more quickly than with simple interest. As a result, you won't need to save as much money to achieve your objectives.

We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.

P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.

The formula for this issue is t = 18 Years, p = £90,000.

A = £9000 *2 => £18000\sr = ?

Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).

18r = 2 - 1\sr = 1/18\sr = 0.0555555556

Extend 0.0556

Ratio conversion: r = 0.0556 * 100 = 5.56%

To learn more about  compound interest refer to:

https://brainly.com/question/28020457

#SPJ1

She need a interest rate of 5.56% .Your wealth increases more quickly due to compound interest.

Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.

Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.

Formula for Daily Compound Interest.

Formula for Annual Compound Interest.

We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.

P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.

The formula for this issue is t = 18 Years, p = £90,000.

A = £9000 *2 => £18000\sr =

Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).

18r = 2 - 1\sr = 1/18\sr

= 0.0555555556

Extend 0.0556

Ratio conversion: r = 0.0556 * 100 = 5.56%

To learn more about  compound interest refer to:

brainly.com/question/28020457

#SPJ1

Answer:

m is 3. x is 2.

Step-by-step explanation:

if you mirror the variable, it is most likely the ssme

Answer:

y=|x|+2

Step-by-step explanation:

Umm where’s the graph.

If the graph is up 2 units y=|x|+2

The answer is All

Step-by-step explanation:

It has been proven that all quadratic equations can be solved with the quadratic formula.

Therefore , the solution of the given problem of percentage comes out to be 4250 mg, or 4.25 g and the percentage increase is 50%.

A% is a number that can be expressed as a decimal or a fraction and indicates what proportion of 100 it is. Put 100 in the denominator and the percentage amount in the numerator to turn a percentage into a fraction.

Here,

This "Nutritional Facts" table indicates that 85 mg of potassium, or 2% of the daily recommended value, corresponds to the row "Potassium".

By using the unitary method, (85/2) mg of potassium will represent 1% of the daily required intake.

As a result, 4250 mg of potassium, or 100% of the daily allowance, will be required: (85/2 * 100).

The entire quantity of potassium that is advised for daily consumption is 4250 mg, or 4.25 g.

(New value) − (Initial value) / (Initial value) = percent change. * 100%.

Here,

Initial value: $1.50 (the 1995 fare).

New value equals $2.25 for the 2008 fare.

Therefore,

percentage variation

= [(2.25 - 1.50) / 1.50] .50] * 100%

= (0.75 / 1.50) * 100%

= 0.5 * 100%

= 50%.

Positive indications of the transition point to an increase in fare.

The percentage increase is therefore 50%.

To know more about percentage , visit

brainly.com/question/20260562

#SPJ1

One possible set of perimeters for the two figures is 4x and 16x.

Dilation is one of the type of transformation where the size of the object is made smaller or larger without affecting the shape.

Let A be the area of the original figure.

New area after dilation = 16A

Suppose that the figure is a square.

Area of a square is the square of it's side length and perimeter is four times the length of one side.

Let 'x' be the length of a side of the original figure.

Area of the original figure, A = x²

Perimeter of original figure = 4x

New area = 16 A = 16 x² = (4x)²

So the side length of new figure = 4x

Perimeter of new figure = 4 (4x) = 16x

Hence one of the possible set of perimeters for the two figures given is 4x and 16x.

Learn more about Dilation here :

https://brainly.com/question/13176891

#SPJ1

Answer: ( see image )

Step-by-step explanation:

Answer:

4.3 minutes per mile

Step-by-step explanation:

26 minutes divided by 6 miles is 4.333, so the answer should be 4.3 minutes per mile. Hope this helped :)

9514 1404 393

Answer:

  0 people ate dinner

  23 people ate lunch

Step-by-step explanation:

If the bill is split evenly between x people, then each pays 500/x.

Splitting the bill between x-1 people means each pays 500/(x -1).

When the difference in those amounts is 1.00, we have ...

  500/(x -1) -500/x = 1

  500 = x(x -1)

Completing the square gives ...

  500.25 = (x -0.5)²

  x = 0.5 +√500.25 ≈ 22.866 ≈ 23

Check

With 22 people splitting the $500 bill, the amount each pays is ...

  $500/22 ≈ $22.73

With 23 people splitting the bill, the amount each pays is ...

  $500/23 ≈ $21.74

The difference is $0.99, about $1.00. This is as close as you will get with these numbers.

__

23 people at lunch, including Stewart.

Answer:

B

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

6/20

Reduce

3/10

Answer:

a. The time between customers entering a checkout lane at a retail store - Continuous

b. The weight of refuse on a truck arriving at a landfill - Discrete

c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous

d. The number of clerical errors on a medical chart - Continuous

e. The number of accident-free days in one month at a factory - Discrete

Step-by-step explanation:

A discrete variable is one whose value can be counted or it is a countable variable while continuous variable is not countable and hence it is measured.

a. The time between customers entering a checkout lane at a retail store - Continuous

b. The weight of refuse on a truck arriving at a landfill - Discrete

c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous

d. The number of clerical errors on a medical chart - Continuous

e. The number of accident-free days in one month at a factory - Discrete

Random variables map sample space elements to real numbers. The classification of these random variables is done as:

Random variables are rules relating the sample space's elements to real numbers.

Those random variables, who take only distinct values, are called discrete random variables.

Those random variables, who take any value from a given continuous interval of real numbers are called continuous variables.

For the given first and second cases, the time between customers entering a checkout lane, or the weight on a truck can be any value in an interval of real numbers. Its not assuming distinct values and it can be any value in a continuous real number interval. Thus, they are continuous random variable.

For the given cases, from case third to fifth, the number of errors, the number of clerical errors, and the number of days, all can only be integers and thus, they are distinct, non-continuous in any non-zero sized interval, thus, they are discrete random variables.

Thus,  the classification of these random variables is done as:

Learn more about discrete and continuous random variables here:

https://brainly.com/question/13015864

The radius of the circle with a circumference of 24π is 12 inches.

An equation shows how two or more numbers and variables are related to each other.

The circumference of a circle is the measure of the arc of the circle. It is given by:

Circumference (C) = 2π * radius

Given that the circumference is 24π, hence:

24π = 2π(radius)

Radius = 12 inches

The radius of the circle is 12 inches.

Find out more on equation at:https://brainly.com/question/2972832

#SPJ1

On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here,

principal, p = 2200

rate, r = 2%

time, t = 4 rs,

so SI = P X R X T/100

SI -

[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

Answer:

Refer to step-by-step

Step-by-step explanation:

Prove the following, [tex]\lim_{x \to \ 2} 2^{x}=4[/tex], [tex]\lim_{z \to \ -1} 3^{x}=\frac{1}{3}[/tex], and [tex]\lim_{x \to \ 1} e^{x-1} = 1[/tex].

For part f:

Plug in the value of the limit, 2,

[tex](2)^{2} =4[/tex]

Thus we proved the limit.

For part g:

Plug in the value of the limit, -1,

[tex]3^{(-1)}[/tex]=>[tex]3^{-1}[/tex]=>[tex]\frac{1}{3^{1} }=\frac{1}{3}[/tex]

Thus we proved the limit.

For part h:

Plug in the value of the limit, 1,

[tex]e^{(1)-1}[/tex]=>[tex]e^{1-1}[/tex]=>[tex]e^{0}=1[/tex]

Thus we proved the limit.

Answer:

Equivalent

Step-by-step explanation:

Two fractions are equivalent if the value, proportion, or quantity they represent is the same. Equivalent fractions can have different numerators and denominators. If you multiply the first one by 2/2, they will both be the same.

Answer:

equivalent

Step-by-step explanation:

2x/18y divided by 2 = x/9y

Answer:

The square root means that IF you square the square root, you will get the original number. Thus, 16 squared = 256 and y^2 squared = (y^2)(y^2) = y^4

Step-by-step explanation:

Answer:

The answer is 3/20 or 0.15

I wish you luck in your assignments.

Answer:

15/17

Step-by-step explanation:

Sin=opposite/hypotenuse

SinD=BC/CD=15/17

Answer:

Lower quartile is 2

Median is 5

Upper quartile is 7

Answer:

Lower quartile 2

median 6.5

upper quartile 7

Answer:

The square root is 1.90

Step-by-step explanation:

Given

[tex]x = \sqrt{3.6}[/tex]

Required

Find x

Express 3.6 as 36/10

So, we have:

[tex]x = \frac{\sqrt{36}}{\sqrt{10}}[/tex]

This gives

[tex]x = \frac{6}{\sqrt{10}}[/tex]

Rationalize

[tex]x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}[/tex]

[tex]x = \frac{6\sqrt{10}}{10}[/tex]

Using a calculator

[tex]\sqrt{10} \approx 3.16[/tex]

So, we have:

[tex]x = \frac{6*3.16}{10}[/tex]

[tex]x = \frac{18.96}{10}[/tex]

[tex]x = 1.896[/tex]

Approximate

[tex]x = 1.90[/tex]