Identify the coordinates of the vertices after the transformation

Answer:

v=-7

Step-by-step explanation:

13v-5v=-27-29

8v=-56

v=-56/8=-7

The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.

According to the statement

we have given that the percutaneous nephrolithotomy (PN) had a success rate in removing kidney stones of 289 out of 350 patients. And

The traditional method was 78% effective.

we have to show that the success rate for PN is greater than the historical success rate then

we use the percentage formula to find the success rate of the new method. So,

(a) Total patients = 350

Success rate in number of patient = 289

Percentage of success rate = (289/350)*100

Then after calculating

Percentage of success rate = 82.57%

It is clear that the outcome success rate is 82.57% which is greater than traditional method.

(b) we have a 95% confidence that the success rate of new method is higher than the older method from a confidence interval of 2.262 and 3.67

So, The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.

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Answer:

2 : 12

Step-by-step explanation:

There are 2 blue triangles, so 2 will come first. It's then followed by the sum of blue and yellow, which is 2 + 10, which is 12. So, the ratio is 2 : 12.

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The measure of the angle BAM is approximately 40.894°.

In this problem we proceed to draw the figure representing the entire figure and labeling all known lengths, both from statement and derived from Pythagorean theorem. Since the angle BAM is part of a right triangle, then we can apply the following trigonometric function:

[tex]\tan \theta = \frac{BM}{AB}[/tex]

[tex]\tan \theta = \frac{\frac{\sqrt{3}}{2}\cdot x }{x}[/tex]

[tex]\tan \theta = \frac{\sqrt{3}}{2}[/tex]

θ ≈ 40.894°

The measure of the angle BAM is approximately 40.894°.

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keeping in mind that the range is vertical values covered by the function, Check the picture below.

Step-by-step explanation:

there are several formulas that could play a role.

but in our case, where we have velocities and the deceleration, we are going to use

fV = iV + at

fV = final velocity (0 on our case)

iV = initial velocity (40 m/s in our case)

a = acceleration (-15 m/s² in our case)

t is the time it takes to reach fV.

0 = 40 + (-15)t = 40 - 15t

15t = 40

3t = 8

t = 8/3 = 2.666666666... seconds

so, it takes 2.6666666... or 2 2/3 seconds to bring the vehicle to a standstill.

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

Population density simply the measurement of population per unit area.

It is expressed as;

Population density = Number of people / Area

Given the data in question;

We substitute the given values into the above equation.

Population density = Number of people / Area

Population density = 3,979,576 people / 469 square miles

Population density = 8485.23667 ≈ 8486 people per square miles

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

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[tex]x {}^{(1)} = - 3 \: \: \: \: \: \: x {}^{(2)} = - 1[/tex]

The graph is shown in the attached image.

Answer:

80

Step-by-step explanation:

DAB =DAC...........

The difference between Area and Volume lies in the fact that the former relates to plane shapes while the latter takes the concept of solid shapes into account.

The distinctive characteristic of area is the space occupied by a two-dimensional, 2D flat object in a plane while Volume on the other hand is defined as the space covered by a three-dimensional, solid object. The area is quantised in square units while the volume is quantised in cubic units.

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Using it's concept, the probability that the teenager picked at random is male and their favorite hobby is playing video games is:

[tex]\frac{1}{16}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, it is found that out of 32 teenagers, 2 are males who prefer playing videogames, hence the probability is:

[tex]p = \frac{2}{32} = \frac{1}{16}[/tex]

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The true options regarding the triangle diagram are;

m∠5 + m∠6 = 180°

m∠2+ m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

We see the attached image showing ΔABC with Exterior angles as;

∠ 1 , ∠ 4 ,and ∠ 6

Now, the exterior angle property of triangles states that; An exterior angle of a triangle is equal to the sum of the opposite interior angles.

For Exterior ∠1 we have;

∠1 = ∠5 + ∠3 (Exterior angle Property of Triangle)

Similarly,

For Exterior ∠ 4 we have;

∠4 = ∠5 + ∠2   (Exterior angle Property of Triangle)

For Exterior ∠6 we have;

∠6 = ∠2 + ∠3   (Exterior angle Property of Triangle)

From Triangle Sum Property, we know that the sum of the measures of angles in a triangle is equal to 180°. Thus;

m∠2 + m∠3 + m∠5 = 180° (Triangle Sum Property)

Linear Pair of angles states that the measure of a straight angle is 180° and as such a linear pair of angles must add up to 180°. Thus;

m∠5 + m∠6 = 180°  (Linear Pair)

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Answer:

it matches with equation c

Using it's concept, the standard deviation of the data is of 3.742.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

[tex]S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742[/tex]

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The percentage of vehicle mileage expectancies that are more than 188,600 miles is 93%

The given parameters are:

Mean = 169200

Standard deviation = 19400

x = 188600

Calculate the z value using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z = \frac{188600 - 169200}{19400}[/tex]

Evaluate

z = 1

Using the Empirical Rule, we have:

P(x > 188600) = P(z > 1.5)

From z table of probability, we have:

P(x > 188600) = 0.93319

Express as percentage

P(x > 188600) = 93.319%

Approximate

P(x > 188600) = 93%

Hence, the percentage of vehicle mileage expectancies that are more than 188,600 miles is 93%

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The expected value for the person buying the insurance is -25.

The expected value is the average gain or loss of an event if the event is repeated a number of times.

Expected value = ∑xP(x)

It is given that,

The probability of a 47-year-old woman passing away during the coming year is 0.179% = 0.00179

The death benefit = $100,000 - $204 = $99,796

The loss from living = -204

Then the expected value = 99796(0.00179) + (-204)(0.99821) = -25

Therefore, the expected value for the person buying the insurance is -25.

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The values of x after the statement are:

This refers to the field of mathematics that studies mathematical structures and views them as discrete, rather than continuous and they include integers, statements, etc.

Therefore, if we consider the statement "if P(x) then x:=1" which is equivalent to "if x>1 then x:=1", then we can see that If x=1, then the statement P(1)="1>1" is false

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The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

A non linear function is a function whose graph is not linear or can be represented by a straight line.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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Answer:

both two

Step-by-step explanation:

because it is in alphabetical order

The real engine is 65.25 feet long

The scale is given as:

Scale = 87 feet to 1 foot

The scale length is given as

Scale length = 9 inches

Convert inches to feet

Scale length = 9/12 feet

The actual length is then calculated as:

Actual = 87 * 9/12 feet

Evaluate

Actual = 65.25 feet

Hence, the real engine is 65.25 feet long

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Answer: 175 ft squared

Step-by-step explanation: A= a + b / 2h= 20 + 152 · 10 = 175

Answer:

67 years old. (you only gave 4 people and missed out one person)

Step-by-step explanation:

take all the ages first and put the unknown (age of the person who entered the room) as x.

14, 16, 16, 13, x

all of these numbers added to together would be:

59 + x

Because the question is talking about the mean age, to find mean:

add all the values in the data (ages) and divide by the total number of values on the list. (in your case would be 6 people (following your question) but you gave only 5 people including the x).

then (59 + x) / 6 = 21

21 x 6 = 126

126 = 59 + x

x = 67

The given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

The given expression is:

[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )[/tex]

Note that:

[tex]sin(A+B)=sinAcosB+cosAsinB[/tex]

Applying the addition principle to the given expression, we have:

[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

Therefore, the given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]

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The equation rule for the reflection of the triangle over the line y = -x is given as (x, y) ⇒ (-y, -x)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The equation rule for the reflection of the triangle over the line y = -x is given as (x, y) ⇒ (-y, -x)

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The two figures are similar because each side length of the image is times the corresponding side length of the preimage and all the pairs of corresponding angles are congruent.

The transformations are given as:

Rotation and translation would preserve the lengths and the angles of the triangles. Because they are rigid transformations.

Dilation would only preserve the angle of the triangles. Because it is a nonrigid transformation.

The above means that the angles of triangle PQR and triangle P'Q'R' are congruent

Hence, the true statement is (d)

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Answer: $4600

Step-by-step explanation:

Answer:

The set can be defined by listing all its elements, separated by commas and enclosed within braces. This is called the roster method.

Step-by-step explanation:

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The expression [tex]\sqrt{\frac{5}{x-1} }[/tex] is equivalent to the given quotient.

Option A is correct.

When we divide one number by another, the result is a quotient. Although a quotient can be greater than the divisor, it will never be greater than the dividend.

In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor.

After the division has been done, the quotient is obtained. This signifies that the quotient is the result of dividing a dividend by a divisor.

According to the question,

[tex]\sqrt{25(x-1)}[/tex] ÷ [tex]\sqrt{5(x-1)^{2} }[/tex] =  5[tex]\sqrt{x-1}[/tex] ÷ (x-1)[tex]\sqrt{5}[/tex]

                                     =  [tex]\sqrt{\frac{5}{x-1} }[/tex]

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Answer:

6a. 13.5m

6b. 12.4m

Step-by-step explanation:

We can use trig identities to solve these problems because each triangle is a right triangle.

6a. Find the measure of the hypotenuse.

Using the angle in the top corner, which is defined as 66 degrees and its adjacent side, we can find the hypotenuse. Remember that the hypotenuse is the longest side, which in this case would be AB. The adjacent side is the side next to the angle that is not the hypotenuse, in this case it would be AC, which is shown to be 5.5m.

The trig identity cos(x) is defined as adjacent/hypotenuse, or the value of the adjacent side divided by the value of the hypotenuse, where x is the degrees of the angle.

So we can set up the equation:

cos(x)=adj/hyp

If we know that x=66 (the degree of the angle) and adj=5.5m, we can substitute this into the equation. Let c represent the hypotenuse.

cos(66)=5.5/c

Then we can multiply by c:

c*cos(66)=5.5

Then divide by cos(66):

c=5.5/cos(66)

Use a calculator to estimate that c approximately equals 13.5m when rounded to the nearest tenth (remember to use degree mode because our angle is measured in degrees).

6b. Find the measure of side a.

Side a is the side opposite to angle A. This can also be known as side CB or the bottom of the triangle.

Method 1: Use trig identity tan(x)tan(x)=opp/adj

Remember x=66 and adj=5.5m. Let a represent the opposite side. Plug in these values into the equation:

tan(66)=a/5.5

Multiply both sides by 5.5:

a=tan(66)*5.5

Use a calculator to estimate that a approximately equals 12.4m when rounded to the nearest tenth (remember to use degree mode because our angle is measured in degrees).

Method 2 (I would recommend method 1, however because you are basing this answer off of the first answer, and in a test or a quiz, you might not be sure if your first answer was correct):

Use Pythagorean Theorem:

a^2+b^2=c^2

c, or the hypotenuse is 13.5m as found in out last problem, and b, the adjacent side is 5.5m which was a given. Substitute these values into the equation:

a^2+5.5^2=13.5^2

a^2+30.25=182.25

a^2=152a=sqrt(152) which rounds to 12.3m, which is almost the same as Method 1, however our answers are different because we used a rounded value of b, rather than the approximate.