There are 30 giraffe and 6 penguin at the zoo. Which tatement correctly compare the two quantitie?

Answer:

B.

Step-by-step explanation:

B. is the coordinates of the vertices of the triangle.

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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The probability that you land on 8 twice is 1/64

What is probability?

The area of mathematics known as probability deals with numerical representations 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, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We spin a spinner numbered 1-8 twice

The total sample space can be given by considering all the possible values

Hence the total number of spins are 8*8= 64 spins

The possibility that getting 8 twice is only once possible. As it will be only one pair in all the possible values.

Hence, The total probability is 1/64

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Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

a²-10a+24+6b-9b²​

(a-6)(a-4)+3b(2-3b) but this is incorrect

Therefore, the expression is not factorable with rational numbers

Answer:

D) -1200 ft

Step-by-step explanation:

The time passes through (0,20) and (5,14)

So, rate of descent= slope= 14-20/5-0= -6/5

so, -6/5 × 1000ft

= -1200 ft

So, rate of descent= -1200ft.

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

hope it helps...

have a great day!!!

Answer:

4x-8+4y

Step-by-step explanation:

factor the 4 to each part

Using it's formula, it is found that the tangent of F is given by:

Researching the problem in the internet, it is found that for the right triangle in this problem:

Applying the Pythagorean Theorem, we have that:

\(6^2 + x^2 = 11^2\)

\(36 + x^2 = 121\)

\(x^2 = 85\)

\(x = \sqrt{85}\)

Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:

\(\tan{F} = \frac{6}{\sqrt{85}} \times \frac{\sqrt{85}}{\sqrt{85}} = \frac{6\sqrt{85}}{85}\)

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Answer:

A. y = –0.2x + 2

Step-by-step explanation:

It is a negative slope and intersects at (0, 2).

Answer: A. y = –0.2x + 2

Step-by-step explanation:

     We see that the answer options are in slope-intercept form, so we will find the slope and the y-intercept of this line to write our equation.

     The line intercepts the y-axis at (0, 2), so the ending of our equation will be "+ 2" for the intercept.

     Next, we will find the slope. We see that for everyone one unit moved downward, there is 5 units right. This becomes a slope of -1/5, which is the same as -0.2.

     Using these details, the correct answer is;

            A. y = –0.2x + 2

Answer:

48 regular keyboards, 16 wireless keyboards

Step-by-step explanation:

To find the number of each type of keyboard sold, we need to form and solve 2 equations.

Define variables used:

Let the number of regular keyboards and wireless keyboards sold be r and w respectively.

Equation from total sales:

Sales from regular keyboards= $83r

Sales from wireless keyboards= $115w

Total sales= $(83r +115w)

83r +115w= 5824 -----(1)

Equation from number of keyboards sold:

r= 3w -----(2)

Let's solve the simultaneous equations by substitution!

Subst. (2) into (1):
83(3w) +115w= 5824

249w +115w= 5824

364w= 5824

Divide both sides by 364:

w= 16

Subst. into (2):

r= 3(16)

r= 48

Thus, 48 regular and 16 wireless keyboards are sold.

Supplementary:

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1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True

2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True

1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.

Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.

2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.

Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:

hygiene factors and motivating factors.

Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.

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The number of even integers in the group is 7, and the number of odd integers is 35.

Let's assume that there are x even integers in the group, then the number of odd integers will be 5x since there are 5 times as many odd integers as there are even integers.

The total number of integers in the group is 42, so we can write an equation:

\(x + 5x = 42\)

Simplifying this equation, we get:

\(6x = 42\)

Dividing both sides by 6, we get:

\(x = 7\)

Therefore, there are 7 even integers in the group.

We can also find the number of odd integers using the equation we obtained earlier:

Number of odd integers = 5x = 5(7) = 35

So, out of the total 42 integers in the group, there are 7 even integers and 35 odd integers.

In conclusion, It is important to note that the sum of these two values is equal to the total number of integers in the group, which is 42.

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Because y = 0.5x + 2 is a first-degree polynomial with 1 as the highest power, it is a linear function. We obtain a straight line when we graph it.

In mathematics, a linear function is a particular kind of function where the rate of change between the input (an independent variable) and the output is constant (dependent variable). In other words, when graphed on a coordinate plane, a linear function displays a straight line. A linear function's generic form is: y = mx + b where x is the independent variable, y is the dependant variable, b is the y-intercept (the point where the line crosses the y-axis), and m is the slope of the line (the rate of change). A linear function's slope, also known as rise over run, is defined as the change in y divided by the change in x.

given

Because y = 0.5x + 2 is a first-degree polynomial with 1 as the highest power, it is a linear function. We obtain a straight line when we graph it.

Because \(y = 0.5x^{3}/8\) is a third-degree polynomial with 3 as the maximum power of the variable x, it is not a linear function. We get a curve instead of a straight line when we graph it.

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Answer:

23,24,25,26

Step-by-step explanation:

well because it says =20 and the bottom one has a 6 and so does the space the that means 3+20+23

The light fixtures will make approximately 0.914 swings per second during a minor earthquake in San Francisco.

To determine the frequency of the swings per second for the light fixtures, we need to use the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is given as 1.50 m, and the mass of the bulb is given as 2.35 kg. We can assume that the shade and cord add negligible mass to the system. The acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values, we get:

T = 2π√(1.50/9.8)

T ≈ 1.093 seconds

The frequency of the swings per second is the reciprocal of the period, so:

f = 1/T

f ≈ 0.914 Hz

It's important to note that this is an approximation, and the actual frequency may vary depending on factors such as the amplitude of the oscillations and the specific characteristics of the earthquake.

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Answer:

4 2/11

Step-by-step explanation:

The absolute value is the distance between a number and zero. This means that absolute value cannot be negative because you cannot travel a negative distance. The distance between - 4 2/11 is 4 2/11.

Hope This Helps :)

The absolute value of -4(2/11) is 46/11.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-4(2/11)

= -46/11

Now,

The absolute value.

= |-46/11|

= 46/11

Thus,

The value is 46/11.

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EXPLANATION

Let's see the facts:

Ipad pen cost = -$105

Best friend ----> +$12

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

-$93

Babysitting Saves +$20/week

We are still needing $93 dollars to buy the pen, so, if she earns $20 peer week, then she should work:

$93 = 20 $/week * number of weeks

Calling x to the number of weeks and turning this into an inequality:

12 + 20x ≥ 105

Subtracting -12 to both sides:

20x ≥ 105-12

Simplifying:

20x ≥ 93

Dividing both sides by 20:

x ≥ 93/20

Simplifying:

x ≥ 4.65

Answer: Amelia should at least work 5 weeks in order to save the money to buy the Ipad pen.

Answer:

x>3

Step-by-step explanation:

x+9<4x

9<4x-x

9<3x

3x>9

x>9/3

x>3

Answer:

A, D, and E

Step-by-step explanation:

because they are negative

Answer:

1.) ex

2.) eq

3.) ex

4.) eq

5.) ex

6.) ex

7.) eq

8.) eq

9.) ex

10.eq

Step-by-step explanation:

Equations, have an equal sign. Expressions are without the =.

According to the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs of a right triangle.

In other words, \(a^2 + b^2 = c^2\) for the triangle depicted below.

The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.

Construction projects and almost anything involving right triangles, such as roofing for homes, are common uses for this application.

Hypotenuse² = Base² + Perpendicular²

The Pythagorean Theorem is used in a variety of computations. For instance, it may be used to determine the height and distance of straight and fallen trees, as well as the steepness of hills and mountains.

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The  probability that the celebrity posts exactly one message for any random day is 0.264, rounded to three decimal places.

The given problem can be solved using the Poisson probability formula, which models the probability of a certain number of events occurring in a fixed interval of time, given the average rate of occurrence.

The formula for the Poisson probability is:

P(x; λ) = (e^(-λ) * λ^x) / x!

where x is the number of events, λ is the average rate of occurrence, e is the mathematical constant approximately equal to 2.71828, and x! is the factorial of x.

In this case, we are given that the celebrity posts an average of 2.3 messages per day, so λ = 2.3. We need to find the probability that she posts exactly one message for any random day, so x = 1.

Using the Poisson probability formula, we get:

P(1; 2.3) = (e^(-2.3) * 2.3^1) / 1! = 0.264

Therefore, the probability that the celebrity posts exactly one message for any random day is 0.264, rounded to three decimal places.

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Answer:

a) 14.85

b) 0.1136

c) 74.7

Answer: B

Step-by-step explanation: Hope this helps :)

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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Answer:

Disagree ΔABC ≅ ΔDEC by ASA butt by SAS

Step-by-step explanation:

point C is the midpoint of (A/E), C is also the midpoint of (B/D )

BC = CD   and AC = CE

∠BCA = ∠ECD

ΔABC ≅ ΔDEC by SAS not by ASA

With both x and y in the first quadrant, we have each of sin(x), cos(x), sin(y), and cos(y) being positive.

Then from the Pythagorean identity, it follows that

cos(x) = √(1 - sin²(x)) = 4/5

cos(y) = √(1 - sin²(y)) = √5/3

Using the angle sum identity for sine,

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

… = (3/5) • (√5/3) + (4/5) • (2/3)

… = √5/5 + 8/15

… = (3√5)/15 + 8/15

… = (3√5 + 8)/15

The evaluation of sin(x+y) will be equal to  sin(x+y) =(3√5 + 8)/15

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

With both x and y in the first quadrant, we have each of sin(x), cos(x), sin(y), and cos(y) being positive.

Then from the Pythagorean identity, it follows that

cos(x) = √(1 - sin²(x)) = 4/5

cos(y) = √(1 - sin²(y)) = √5/3

Using the angle sum identity for sine,

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

\(\rm Sin(x+y)= (\dfrac{3}{5}) \times (\dfrac{\sqrt{5}}{3}) + (\dfrac{4}{5}) \times (\dfrac{2}{3})\)

\(\rm Sin(x+y) = \dfrac{\sqrt{5}}{5} + \dfrac{8}{15}\)

\(\rm Sin(x+y) = (\dfrac{3\sqrt{5})}{15} + \dfrac{8}{15}\)

\(\rm Sin (x+y)=\dfrac{(3\sqrt{5} + 8)}{15}\)

Hence the evaluation of sin(x+y) will be equal to  sin(x+y) =(3√5 + 8)/15

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