50 people were asked for their favourite holiday destination from a choice
of three (Greece, Spain or Egypt).
Greece Spain Egypt Total
27 of the people were female.
9 of the 15 people who chose
Greece were male.
Male
12 females said Spain.
14 people said Egypt.
Female
A
a) Complete the two-way table.
(2)
Total
One of the males is chosen at random.
b) What is the probability that this male said Greece?
(2)

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

The original statement is same as third statment and value of y is 27.

Writing the equation form for each statement -

Let the variable be represented as y.

1/3(30 - y) = 3/4

1/3×30 - y = 3/4

1/3×y - 30 = 3/4

1/3(30 - y) = 3/4

1/3(y - 30) = 3/4

Based on the interpretation of all the sentences in equation form, we find the statement 3 to be same as original statement. Solving the equation to get the value of y.

1/3(30 - y) = 3/4

10 - y/3 = 3/4

10 = 3/4 + y/3

10 = (3×4 + y×4)/12

10×12 = 12 + 4y

4y + 12 = 120

4y = 120 - 12

4y = 108

y = 27

Hence, the value of y is 27.

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Answer:

the answer is A.

1 over 3 (30 - y) = 3 over 4

To evaluate this integral, we can use the product-to-sum identity for cosine:

cos A cos B = (1/2)(cos(A - B) + cos(A + B))

Using this identity, we can rewrite the integrand as:

cos πx cos 4πx = (1/2)(cos(3πx) + cos(5πx))

So the integral becomes:

∫cos πx cos 4πx dx = (1/2)∫cos(3πx) dx + (1/2)∫cos(5πx) dx

Integrating each term, we get:

(1/6π)sin(3πx) + (1/10π)sin(5πx) + C

where C is the constant of integration.
To evaluate the integral ∫cos(πx)cos(4πx) dx, we can use the product-to-sum trigonometric identity:

cos(A)cos(B) = 1/2 [cos(A-B) + cos(A+B)]

Applying this identity to our integral, we have:

∫cos(πx)cos(4πx) dx = ∫(1/2)[cos(3πx) + cos(5πx)] dx

Now, we can integrate term by term:

∫(1/2)cos(3πx) dx + ∫(1/2)cos(5πx) dx

The integrals are straightforward:

(1/2)∫cos(3πx) dx = (1/6π)sin(3πx) + C1
(1/2)∫cos(5πx) dx = (1/10π)sin(5πx) + C2

Now, sum the two integrals and their respective constants:

∫cos(πx)cos(4πx) dx = (1/6π)sin(3πx) + (1/10π)sin(5πx) + C

Where C is the constant of integration (C = C1 + C2).

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Answer:

-13

Step-by-step explanation:

An integer is an whole number without decimals and fractions and can be negative, positive or 0.

In this scenario, the quarterback is losing 13 yards. The loss means that the 13 is negative, because positive would mean that he gains 13 yards. Therefore the loss is represented by the integer -13.

Hope this helped!

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer: I can't see the symbols, but > and ≥ relate the two numbers.

Step-by-step explanation: Let's go through the 4 symbols ≥,  ≤, >, and <. The statements 55 ≤ 35 and 55 < 35 are not true, while 55 ≥ 35 and 55 > 35 are. So, ≥ and > correctly relate the two numbers.

Answer:

By the vertical Angles Theorem , < 1 = <2 and < 4 = <3.  <1 = <4 is given , so <2 = <3 by the transitive property of Congruence.

Step-by-step explanation:

By the vertical Angles Theorem , < 1 = <2 and < 4 = <3.  <1 = <4 is given , so <2 = <3 by the transitive property of Congruence.

The transitive property of congruence states that two objects that are congruent to a third object are also congruent to each other

1 =4

and 4=3

and 1=2

so 2=3

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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Answer:

It equals poop in the face.

Step-by-step explanation:

Good-Bye poopy face.

Answer:

17+3x

that is the answer

Answer:

17 + 3x

Step-by-step explanation:

9 + 8 + 3x

=17 + 3x

because the 3 contain a valuable x that why it is add to the 17

The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location

Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.

Part A

In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.

The coordinates of the vertices of JKLM relative to J are;

J(0, 0), K(6, 0), L(6, -6), M(0, -6)

Distance of K from J = 6 - 0 = 6 units to the right of K

Therefore, using a scale factor of 1;

The distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.

The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM

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Answer:

555555

Step-by-step explanation:

From the two column proof we have been able to show that:

m∠6 = 20° and m∠4 = 160°

Two column proof is one of the most common formal proofs in elementary geometry courses. The known or derived statements are written in the left column, and the reason why each statement is known or valid is written in the adjacent right column.  

The complete two column proof is as follows:

Statement 1: a ║ b

Reason 1: Given

Statement 2: m∠6 = ¹/₈m∠4

Reason 2: Given

Statement 3: m∠6 + m∠4 = 180°

Reason 3: Supplementary Angles

Statement 4: m∠6 + 8*m∠4 = 180°

Reason 4: Substitution

Statement 5: m∠6 = 20° and m∠4 = 160°

Reason 5: Algebra

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Step-by-step explanation:

Expanded 300+60+.1+.02+.004

exponential you can't have on if you don't have an exponent

Step-by-step explanation:

2x(5x-2)

= 2x*5x - 2x*2 (Distributive property)

= 10x^2 - 4x

20/100

That is the answer if u want it simplified it is 1/5

Answer:

20/100 simplified is 1/5

Step-by-step explanation:

it is the fraction form

As x approaches infinity, the limit of function [(2x-1)(3-x)]/[(x-1)(x+3)] is equal to -2.

What is function?

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain) with the property that each input is related to exactly one output.

To find the limit of [(2x-1)(3-x)]/[(x-1)(x+3)] as x approaches infinity, we need to consider the highest power of x in the numerator and the denominator.

In the numerator, the highest power of x is \(x^2\), which comes from the product of (2x)(3). In the denominator, the highest power of x is also \(x^2\), which comes from the product of (x)(x).

Thus, we can use the rule that when the highest powers of x in the numerator and denominator are equal, the limit is the ratio of the coefficients of these highest powers. Therefore:

lim [(2x-1)(3-x)]/[(x-1)(x+3)]

= lim [(\(-2x^2\) + 7x - 3)/(\(x^2\) + 2x - 3)]

= lim [-2 + (7/x) - (3/\(x^2\))] / [1 + (2/x) - (3/\(x^2\))]

= -2/1

= -2

Therefore, as x approaches infinity, the limit of [(2x-1)(3-x)]/[(x-1)(x+3)] is equal to -2.

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Answer:

hey! good morning i hope your day is going well!

Step-by-step explanation:

the answer to your question is 30

                                   5,10,15,20,25,30

                                    1  2  3  4   5    6

good luck!

Answer:

30

Step-by-step explanation:

so when you multiply you do something like 6+6+6+6+6 since there are 5 sixes that = 30

Women who have experienced pelvic inflammatory disease (PID), even if treated successfully, may have long-term health problems. These health problems can include various complications and consequences related to reproductive health and overall well-being.

PID is an infection of the female reproductive organs, typically caused by sexually transmitted infections such as chlamydia or gonorrhea. If left untreated or inadequately treated, PID can lead to serious complications. Even with successful treatment, some women may experience long-term effects

Some of the potential long-term health problems associated with PID include: Chronic pelvic pain: PID can cause inflammation and scarring in the pelvic organs, leading to ongoing pain in the lower abdomen or pelvis. Infertility: The scarring and damage caused by PID can obstruct or damage the fallopian tubes, making it difficult for an egg to travel from the ovary to the uterus, resulting in infertility.

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Answer: F(x)=24

Step-by-step explanation:

f(x)=5(-3)^2+7(-3)

f(x)= 5(9)+7(-3)

f(x)=45-21

f(x)=24

False.

Data reduction techniques can be applied to both rows (observations) and columns (variables) in a given dataset. Data reduction techniques like Principal Component Analysis (PCA) and Factor Analysis are applied to variables in order to reduce the number of variables and extract relevant information from them. These techniques aim to identify underlying factors or components that explain the variance in the data and represent them in a lower-dimensional space. Similarly, techniques like clustering and outlier detection can be applied to observations in order to group similar observations together or identify outliers.

Therefore, data reduction can be applied to both rows and columns, depending on the analysis goals and data characteristics.

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\(\huge\text{Hey there!}\)

\(\large\text{PROPERTIES of MATH (of addition)}}\\\\\large\bullet\boxed{\mathsf{\ Commutative \ property: \boxed{\bf x + y = y + x}}}\\\bullet\boxed{\mathsf{\ Identity\ property: \boxed{\bf x + y = x}}}\\\bullet\boxed{\ \mathsf{Associative\ property: \boxed{\bf (x + y) + z = z + (x + y)}}}\\\bullet\boxed{\ \mathsf{Distributive\ property: \boxed{\bf x(y + z) = x\times y + x\times z}}}\)

\(\large\boxed{\mathsf{(10 + 1) + 9 = 10 + (1 + 9)}}\\\\\\\large\boxed{\mathsf{(10 + 1) + 9}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\large\boxed{\mathsf{10 + (1 + 9)}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\\\\\huge\boxed{\mathsf{20 = 20}}\huge\checkmark\)

\(\huge\boxed{\mathsf{Based\ on\ the\ information\ we \ have\ above\ your}}\\\huge\boxed{\mathsf{answer \ is: \underline{\underline{\bf Associative \ Property}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

169 / 14

Step-by-step explanation:

7/1 + 71/14 = 7/1 * 14/14 + 71/14

= 98/14 + 71/14

= (98 + 71) / 14

= 169 / 14

So, the answer is 169 / 14

The time spent by Khadijah to work on her history project is 2 hrs.

Addition and subtraction are the two basic arithmetic operations in Mathematics. In Addition, we sum up two or more numbers to get another number and it is denoted by the symbol (+).

In subtraction, we take away a number from another number and it is denoted by (-).

Here we have      

Khadijah has at most 3 hrs to work on a math assignment and a history project.

The time taken by Math assignment = 1 hrs

Here we need to find the time that can be spent working on her history project.

[ Here we will use subtraction to get the answer ]

From given data  

The time can be spent on History = Total time - Time taken by Math  

= 3 hrs - 1 hr = 2hrs

Therefore,

The time spent by Khadijah to work on her history project is 2 hrs.

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Answer:

why would it be 11 gallons that is way to much

Step-by-step explanation:

the answer would be 11 fluid ounces

Answer:

Are you joking I just gave you a mini-lesson on these 11 fluid ounces

Step-by-step explanation:

DO IT YOURSELF THIS IS THE LAST TIME

11 fluid ounces since most hair spray can't hold 11 cups worth of anything is the same amount of water you are meant to drink in a day

Given the above Trigonometric expressions,

1) θ = 35°

2) θ =62°

3) θ = 90-y°

Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilized in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.

There are six expressions of an angle that are often used in trigonometry. Their names and acronyms include

For A)

Sin(55) = cos (θ)

sin (55)= sin(90-θ)

Compare both sides

55 = 90 - θ

θ = 90 - 55

θ = 35°

For B)

Sin(θ) = Cos (28)

angle θ would be  Arc sin (cos (28))

Thus,

θ =  62°

For C)

Cos(y) = sin (θ)

Angle θ = arc sin ( cos (y) )

Thus,

θ = 90 - y


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