Which of the following are true?
I.
√36 > 5
7 <10
√√17-8>√√17 +8
II.
III.

Answer:

27 vidoe are actions adventure.

Step-by-step explanation:

1005 would we all of the vidoes.  100% - 40 % = 60%

60% is the same as .6

.6 x 45 = 27

Answer:

--------------------------------------

40% of 45 DVD's are comedies.

It is in number:

The rest are action-adventures:

Answer: m∠A = 72°, m∠C = 56°

Step-by-step explanation: All triangles interior angles add up to 180, This is an isosceles triangle which by rule mean that angles m∠A and m∠B and the same value of 72°. Now it becomes an equation to find m∠C, of

72 + 72 + x = 180.

144 + x = 180

x = 56

For instance, we might simply show the following conditional statement:

1. Return true if the array's size is zero or one.

2. Verify the last two members of the array; if they are sorted, call n-1 times in a recursive fashion; otherwise, return false.

In the given question, we have to state true or false for the given statement.

In our programs, we frequently want to be able to "conditionally" execute certain actions, i.e., "if this is true, then do X, but if this other thing is true, then do Y." It's similar to how we dress when we get out of bed: "If it's sunny, I wear sunglasses, but if it's raining, I take an umbrella." In our programs, we can use if statements, if/else statements, and conditional expressions to do things conditionally.

If a condition is true, an if statement instructs the computer to run a certain piece of code. Only if x is bigger than 0 do we output a message in the following code:

We would be able to see the message on the canvas since x is 5, which is bigger than 0. If we modified x to -1, the message wouldn't appear at all because x wouldn't be greater than 0.

A conditional expression is one that can only be evaluated as either true or false, and the x > 0 qualifies as one. A boolean value is one that can only be either true or false (as opposed to a number or a string). For instance, we might simply show the following conditional statement:

1. Return true if the array's size is zero or one.

2. Verify the last two members of the array; if they are sorted, call n-1 times in a recursive fashion; otherwise, return false.

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The right question is:

State in predicate calculus that an array of int, say a, is sorted. You may use the Java expression syntax (e.g., a.length, a[i], ==, and <) and logical operators (&&).

The total amount that should be left including 18% tip is $176.5

What is percentage?

A figure or ratio stated as a fraction of 100 is called a percentage. Frequently, it is indicated with the percent sign, "%". A % is a number without dimensions and without a standard measurement.

We are given that you and your friend ordered a meal worth of $149.58

Now also we want to leave a tip of 18% of the total amount.

Hence the total amount that should be left is needed to be calculated

To do that we first calculate the 18% of the total amount then add it to the original amount

18% of the total value is

[tex]149.58*\frac{18}{100}\\ =26.92[/tex]

This is the value of tip that needed to be given

Now we add this to the original price

We get

149.58+26.92

=176.50

The total amount that needs to be paid with tip is $176.5

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Gail's friends does not reject the null hypothesis.

What is null and alternate hypothesis?

Statisticians test hypotheses using null and alternate hypotheses. The alternative hypothesis of a test states your research's prediction of an effect or relationship, whereas the null hypothesis of a test consistently predicts no effect or no relationship between variables.

Given:

H0: p = 0.4

Ha: p ≠ 0.4

Gail uses a level of significance of α = 0.05, she does not reject the null hypothesis.

Therefore the p-value she obtained is greater than 0.05

Andrew uses a level of significance of α = 0.1

Since from given information we can not say if p value is > 0.1 or less, hence

it is impossible to tell from the information given.

Ben uses α = 0.01

Since p-value  is greater than 0.05 hence definitely greater than 0.01

Hence, Gail's friends does not reject the null hypothesis.

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Complete question:

Gail is a student in a class that has been asked to conduct a hypothesis test for a population proportion. The null and alternative hypotheses are: H0: p = 0.4 Ha: p ≠ 0.4 Gail is given a sample and calculates the test statistic. Using a level of significance of α = 0.05, she does not reject the null hypothesis. Gail's friends, Andrew and Ben, also use the sample to calculate a test statistic. However, they differ in the level of significance they use. Andrew uses a level of significance of α = 0.1, while Ben uses α = 0.01. All three students perform their calculations correctly. For each of Gail's friends, select whether or not they reject the null hypothesis, or whether it is impossible to tell from the information given.

Answer:

Step-by-step explanation:

slope intercept is y=mx+b

y+4=2(x-3)

y=2(x-3)-4

y=2x-6-4

y=2x-10

The solved inverse matrices.

(9x - 2y = 12

3x + 4y = 18

([2],[3 ])

To solve a system of linear equations using inverse matrices, we can express the system in matrix form as follows:

[9 -2] [x] = [12]

[3 4] [y] [18]

Then we can find the inverse of the coefficient matrix, which is the matrix containing the coefficients of the variables in the system:

[9 -2]^⁻¹ = 1/((9)(4) - (-2)(3)) * [ 4 2]

[3 4] [ -3 9]

= 1/14 * [ 4 2] = [2/7  1/7]

[ -3 9] [-3/7  2/7]

We can then multiply both sides of the equation by the inverse matrix to obtain the solution:

[2/7   1/7] [9 -2] [x] = [2/7   1/7] [12]

[-3/7   2/7] [3 4] [y] [-3/7   2/7] [18]

[x] = [2/7   1/7]^-1 [2/7   1/7] [9  -2] [x]

[y] [-3/7   2/7] [-3/7    2/7] [3   4] [y]

[x] = [1  0] [9  -2] [x]

[y] [0  1] [3  4] [y]

This simplifies to the following system of equations:

9x - 2y = 12

3x + 4y = 18

Therefore in solving this system, we find that x = 2 and y = 3. So, the solution to the original system is (x, y) = (2, 3).

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The probability that the next chew would be a lime chew is 5%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next chew would be a lime chew = number of lime chews / total number of chews

Total number of chews = 34 + 5 + 2 = 41

The probability that the next chew would be a lime chew = (2 / 41) x 100 = 5%

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Of the following, a sequence which is not a geometric sequence is 3, 6, 9, ... (Option A)

A geometric sequence refers to a sequence in which each term is determined by multiplying the preceding term by the same value which is called the common ratio (r). Hence, the common ratio determined by dividing a term by preceding term is constant in a geometric sequence.

In the given options,

A) r = 6/3 ≠ 9/6

B) r = 9/3 = 27/9 = 3

C) r = 8/4 = 16/8 = 2

D) r = -7/7 =7/-7 = -7/7 = -1

As the common ratio r is constant for option B, C and D, they are geometric sequences. The ratio between consecutive terms is not the same for option A, it is not a geometric sequence.

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The amount must be $164,313.82 deposited in her local bank. which is the correct answer would be an option (C).

For yearly payments of $18,000 for 20 years at a current rate of 9% compounded annually.

Let's assume that the amount would be P deposited in her local bank

As per the given question, the required solution would be as:

P = 18000[1 - (1 + 9/100)⁻²⁰]/0.09

P = 18000[1 - (1 + 0.09)⁻²⁰]/0.09

P = $164,313.82

Therefore, the required amount must be $164,313.82 deposited in her local bank.

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The mean is 66, the median is 75 and the mode is None.

The center or typical value of a dataset is represented by summary statistics known as measures of central tendency. These metrics, such as the mean, median, and mode, are examples. These statistics, often known as the central location of a distribution, show where the majority of values in a distribution fall.

Given,

No. of observations = 5

Mean = Total observations/ no. of observations = 20+73+75+80+82/5 = 66

Median = Middle most observation arranged from smallest to largest = 75

Mode = Observation which occurs at least twice = None

Mean describes the data the best because it takes the average of all the given data.

The distribution of the data set is scattered and the shape of the frequency graph is going upwards.

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The entry to record this payment when the company’s estimated taxes for the first quarter total $50,000 will be:

Debit Income taxes payable $50000

Credit Cash $50000.

A journal is a book in which all of a company's transactions are recorded for the first time. Journaling is the process of recording transactions in a journal. Every transaction has two effects: one is debited and the other is credited.

The act of keeping or making records of any transaction, economic or non-economic, is referred to as a journal entry. An accounting journal, which shows a company's debit and credit balances, records transactions. The journal entry may include multiple recordings, each of which is either a debit or a credit. A journal entry's purpose is to physically or digitally record every business transaction properly and accurately.

The journal entry based on the information is illustrated.

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Answer:

9

Step-by-step explanation:

8x - 4x = 36

4x = 36

x = 36/4 = 9

Answer:

9

Step-by-step explanation:

8n-4n=36

n=9

8(9)-4(9)=36

The area of the rhombus inside a square formed by two equilateral triangles is 1.856 cm².

Here we have to find the area of the rhombus.

Data given:

sides of a square = 2√3 cm

Let ABCD be a square whose sides are 2√3 cm.

As two triangles are inscribed in a square so ABE and CDG be equilateral triangles in square ABCD.

The altitude of the equilateral triangle ABE and CDE = 2√3 sin 60°

= 2√3 × √3/2

= 3cm

The diagonal EG of the rhombus EFGH = 2√3 - 2(2√3 - 3)

= 2.535 cm

The diagonal FH of the rhombus, EFGH = 2√3 - 2(√3tan 30°)

= 1.464 cm

The formula for the area of the rhombus = d1 × d2 / 2

where d1 and d2= diagonal of a rhombus

Now the area of the rhombus EFGH = EG × FH / 2

= 2.535 × 1.464 / 2

= 1.856 cm².

Therefore the area of the rhombus is 1.856 cm².

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The unit rate for miles per gallon for each​ car will be 36.4 and 31. And the blue car can travel greater distances on 1 gallon of​ gasoline.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

You are running an efficiency study. One of the vehicles you find is blue. It can travel 45 ¹/₂ miles on 1 ¹/₄ gallon of fuel. Another vehicle is red. It can travel 24 ⁴/₅ on ⁴/₅ gallons of fuel.

The rate of blue cars is given as,

⇒ (45 ¹/₂) / (1 ¹/₄)

⇒ 45.5 / 1.25

⇒ 36.4 miles per gallon

The rate of red cars is given as,

⇒ (24 ⁴/₅) / (⁴/₅)

⇒ 24.8 / 0.8

⇒ 31 miles per hour

The unit rate for miles per gallon for each​ car will be 36.4 and 31. And the blue car can travel greater distances on 1 gallon of​ gasoline.

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35% of the fuel Capacity did not use on this flight.

Step 1: Calculate the change i.e., subtract old value from the new value

Step 2: Divide that change by the old value.

Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign)

 Percentage change = ((final value - initial value) ÷final value) ×100

Given: Total capacity in a fuel tank of a jet = 200000 liters

Used fuel =130000 liters

% Of fuel which is not used = ((total capacity of fuel tank - used fuel) ÷total capacity of fuel tank) ×100

[tex]=\frac{200000-130000}{200000}*100\\=\frac{70000}{2000}[/tex]

=35%

Therefore, 35% of the fuel capacity did not used in this flight.

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The top five percent of the distribution's lowest weight as calculated from the given data  for a bag is 246.

Average population = 240

Standard deviation for the population; 3

Z-score can be calculated as ,

z = (x' - μ)/σ

Now, in order to determine which of the top 5 values in the distribution has the least weight, we will use the significance threshold of 1 - 0.05/2 = 0.025.

Z-score is 1.96 at significance level 0.025.

Thus;

1.96 = (x' - 240)/3

3 × 1.96 = x' - 240

x' = 240 + 5.88

x' = 245.88

Getting close to a whole number results ,

x' = 246

The two z-score tables are as follows:

Positive Z Score Table: The observed value is greater than the average of all values.

An observed value that is below the mean of all values is shown by a negative Z score table.

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Option B is the statement which is  not sufficient to prove the congruence of two triangles.

In all the other options we get to know about three parts of the triangle using which we can prove their congruency .

Option B says ,

Two sides of one triangle are congruent respectively to the two sides of another triangle.

In this statement there is no mention about the third side or a third angle.

Therefore, using option B we cannot prove the congruence of two triangles.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

" ≅ " is the congruence symbol.

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The terminal point is 0.36 radii to the right of the circle's center.

The terminal point is 0.93 radii above the circle's center.

Here, the 3 O'clock line is OA and the terminal point is on the line OP.

The angle θ = 1.2 radians

Let the radius = r

The distance of the terminal point to the right of the center = OQ

= r × cos θ

= r × cos 1.2  

= r × 0.36

So, it is equal to 0.36 radii

The distance of the terminal point above the center = PQ

= r × sin θ

= r × sin 1.2

= r × 0.93

So, it is equal to 0.93 radii.

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Answer:

Option B

Step-by-step explanation:

Use the formula

[tex]x = \frac{-b\±\sqrt{b^{2}-4ac } }{2a}[/tex]

now input the values. In equation [tex]x^{2} - 5x + 7 = 0[/tex], a = 1, b = -5 & c = 7

By taking positive sign we get,

[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

⇒[tex]x = \frac{-(-5)+\sqrt{(-5)^{2}-4.1.7 } }{2.1}[/tex]

⇒[tex]x = \frac{5+\sqrt{25-28 } }{2}[/tex]

⇒[tex]x = \frac{5+\sqrt{-3 } }{2}[/tex]

In the same way, by taking minus sign, we get [tex]x = \frac{5-\sqrt{-3 } }{2}[/tex]

The solutions to the system of equations 2x + y = 3 and y - 3 = 2x - 2 are (1,5) and (-2,-1).

A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.

The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 has the two expressions 3x + 5 and 14 that are separated by the 'equal' sign.

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1. The number of baseball cards from Gene is 321.

2. An equation that represents finding the number of baseball cards that come from Gene is g = 758 - a.

An equation is a mathematical statement that shows the equality of two or more mathematical expressions.

Equations are solved to solve mathematical problems with unknown variables, combining numbers and variables with mathematical operands.

We depict equations using the equation symbol (=).

The total number of baseball cards with Aaron and Gene = 758

The number of cards from Aaron, a = 437

The number of cards from Gene = g

g = 758 - a.

= 758 - 437

= 321

Thus, using the above equation, we can use the subtraction operation to find that Gene brought 321 baseball cards.

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Answer:2

Step-by-step explanation:took a test

The diameter of the top of the trash ball is 5 inch.

A straight line that runs through the middle of a body or figure from the sideways particularly a circle or sphere is called as a diameter of a circle or sphere.

Given that the diameter of top of the trash can is 20 inch.

And the diameter of trash ball is 1/4th of the diameter of trash can.

The diameter of trash ball = 1/4 ( the diameter of trash can )

The diameter of trash ball = 1/4 (20 inch)

The diameter of trash ball = 20/4

The diameter of trash ball = 5 inch.

Therefore, the diameter of the top of the trash ball is 5 inch.

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The complete question is;

Raquel is playing a game where she throws balled-up paper called a “trash ball” into her trash can. The diameter of the top of the trash can is 20 inch . Raquel wants the “trash ball” to have a diameter that is 1/4 the diameter of the top of the trash can. What should the diameter of Raquel's “trash ball” be? .

A point on the graph is (30, 4) and the meaning is that the cost of 30 units of electricity is £4

From the question, we have the graph that can be used in our computation:

From the graph, we have the following ordered pairs

(0, 0) and (30, 4)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (0, 0) and (30, 4)

The gradient of the line is then calculated using the following slope equation

gradient = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 0) and (30, 4)

Substitute the known values in the above equation

So, we have the following equation

gradient  = (4 - 0)/(30 - 0)

Evaluate

gradient  = 4/30

So, the gradient of the line is 4/30

As a general rule:

Generally, slope or gradient means rate

This means that the gradient of this line represent the rate

i.e. the amount for each unit is 4/30

So, we can conclude that the point (30, 4) on the graph means that the cost of 30 units is £4

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Complete question

An electricity company charges the same fixed amount for each unit of electricity used. David uses this graph to work out the total cost of the electricity he has used.

See attachment for graph

Here we want to find all the zeros of the function f(x) = 16*x^4 - 81.

Function is a relation or expression involving one or more variables.

The zeros are:

x = 3/2

x = -3/2

x = (3/2)*i

x = (-3/2)*i

First, for a given function f(x), we define the zeros as the values of x such that:

f(x) = 0.

Then we must solve:

f(x) = 16*x^4 - 81 = 0

Solving this for x leads to:

16*x^4 = 81

x^4 =  81/16

x^2 = ±√(81/16) = 9/4

x = ±√±(9/4) = ±3/2 and ±(3/2)*i

So there are 4 zeros, and these are:

x = 3/2

x = -3/2

x = (3/2)*i

x = (-3/2)*i

Where the two complex zeros come from evaluating the second square root on

-9/4.

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The measure of the central angles of the circle are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = 180°

In this problem we find a geometric system formed by a circle, two parallel lines and two additional lines that intersect each other at the center of the circle. Then, the angles DOC, COB, AOB and DOB are central angles of the circle such that:

m ∠ DOC + m ∠ COB + m ∠ AOB + m ∠ DOB = 360°

Then, by direct inspection, we find that the measures of the central angles are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = m ∠ COD + m ∠ BOC = 120° + 60° = 180°

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On solving the provided question, we got to know that ∠ H + ∠ K = 45°.

K therefore has a 135° measure.

A unique kind of quadrilateral created by parallel lines is a parallelogram. A parallelogram might have different angles between its neighboring sides, but it must have parallel opposite sides in order to be considered one. If a quadrilateral's opposite sides are parallel and congruent, it is a parallelogram. As a result, a parallelogram is a quadrilateral with both pairs of opposite sides being parallel and equal.

the K-value of the angle.

First of all, we should be aware that the sum of the adjacent angles in the parallelogram ABCD, which has the angles A, B, C, and D, is 180°.

[tex]angle A + angle B = 180\\ angle B + angle C = 180\\ angle C + angle D = 180\\ angle A + angle D = 180[/tex]

They're considered to be a linear pair.

As a result, the parallelogram HIJK, whose angle H = 45°, is what we have.

Therefore, ∠ H +∠K = 180° (linear pair),

∠ K = 180° - 45°

∠ K = 135°,

and

∠ H + ∠ K = 45°.

K therefore has a 135° measure.

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A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

Hence, in this problem, the function g(x) is exponential, as when the input x is increased by one, the output g(x) is multiplied by two.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

Hence, in this problem, the function f(x) is linear, as when the input x is increased by one, the output f(x) is increased by a constant of six.

The problem is given by the image shown at the end of the answer.

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