Triangle J is shown below. James drew a scale version of Triangle J using a scale factor of 4 and labeled it Triangle K. What is the area of triangle K

Answer:

Step-by-step explanation:

Yes, Carmen's sister is correct because 1 liter equals 4.227 (rounded) so yes carmen would have enough milk!

Answer:

You have completed about 55%

Answer: I would say you have completed about 55% on the test.

In order to find the solution to this equation graphically, let's use each side of the equation as a function, and then graph both functions in the same coordinate plane:

Graphing y1 in red and y2 in blue, we have:

The intersection point between the graphs is located at (-0.26, 0.77), therefore the solution to the equation is:

EXPLANATION

Let's see the facts:

Heights of 8th grade boys ---------------> Normally distributed

Mean= 50 inches

Standard deviation= 4 inches

d) Probability that boy shorter than 56 inches:

x=56

P(x<56)

We know that z-score=

Replacing terms:

P-value from Z-table =

P(x<56) = 0.93319

Answer: The probability that an 8th grade boy will be shorter than 56 inches is 0.93319*100= 93.3%.

c) Percentage of 8th grade boys that are between 56 and and 60 inches tall is:

P-value from Z-table =

P(x<60) = 0.93319

P-value from Z-table =

P(x<60) = 0.99379

Then, subtracting both probabilities.

P(56

Answer: the percentage of 8th grade boys that are between 56 and 60 inches tall is 0.0606*100 = 6.06%.

a) We have that,

According to the Empirical Rule, we can assevere that 50+- 3σ = 50+- 3*4 ---->

50 + 12 = 62 inches

50 - 12 = 38 inches

About 99.7% of 8th grade boys height will fall between 38 inches and 62 inches.

Answer: Approximately 99.7% of the heights fall between 38 inches and 62 inches.

b) According to the Empirical Rule, we can assevere that around 68% of the data will fall within one standard deviation of the mean. As we already know, the standard deviation σ is a natural yardstick for any measurements that follow a normal distribution.

So, 50 +- σ = 50 +- 4 ---->

50 + σ = 50 + 4 = 54

50 - σ = 50 - 4 = 46

Answer: About 68% of 8th grade boys height will fall between 46 inches and 54 inches.

Answer:

These points are mine :)))

Step-by-step explanation:

Using the arrangements formula, the number of ways to organize the plates in each case is given as follows:

ii) No brownie next to another brownie: 570,240

iii) Chocolate biscuits kept together: 8,709,120.

The number of possible arrangements of a set of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In item a, if the brownies cannot be together, we have that:

Hence the number of ways to organize the cupcakes is:

[tex]C_{11,8} \times 4! \times 4! \times 3! = \frac{11!}{8!3!} \times 4! \times 4! \times 3! = 570,240[/tex]

In item b, the chocolate biscuits have to be kept together, hence:

Hence the number of ways that the biscuits can be arranged is:

9 x 4! x 8! = 8,709,120.

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1. Subtract 5 in both sides of the equation:

2. Divide both sides of the euqation into 2:

3. Wrie the lograrithm in exponential form:

4. Use properties of powers to rewrite:

5. Evaluate:

Answer:

c. no solution

d. x = 11, y = -5

Step-by-step explanation:

c.

3x - y = 7----->3x - (3x - 2) = 7

y = 3x - 2 3x - 3x + 2 = 7

2 = 7, so no solution

d.

x + 2y = 1 ----> 3x + 6y = 3

3x + 5y = 8----> 3x + 5y = 8

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

y = -5

x + 2(-5) = 1

x - 10 = 1

x = 11

In order to simplify this expression, we need to use the following property:

So we have that:

So the answer is 5.

The actual distance between the golf vein and the farthest gold dust strike is; 79 miles.

It follows from the task content that the actual distance between both locations is to be determined.

It follows from the distance formula in coordinates geometry that;

D = √{(x2 - x1)² + (y2 - y1)²}

Therefore, the distance between the gold vein and the farthest gold dust strike is;

D = √{(-9 -(-9))² + (71 - (-8))²}

D = √79²

D = 79.

Ultimately, the distance on the graph is 79 units and since each unit on the.graoh represents 1 mile, the actual distance between the gold vein and the farthest gold dust strike is; 79 miles.

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Answer:

[tex]\sqrt{89}[/tex] cm

Step-by-step explanation:

use the pythagorean theorem

[tex]5^{2} +8^{2} =x^{2}[/tex]

25+64=[tex]x^{2}[/tex]

89=[tex]x^{2}[/tex]

[tex]\sqrt{89} =x[/tex]

As per the graph, the line passes through coordinates - (1,0) and (0,3)

Since the line passes through both these coordinates, these are the solutions of the equation.

For Option b, 6x + 2y = 6,

If (1,0) is the solution of 6x + 2y = 6, then

⇒ 6(1) + 2(0) = 6

⇒ 6 + 0 = 6

⇒ 6 = 6

If (0,3) is the solution of 6x + 2y = 6, then

⇒ 6(0) + 2(3) = 6

⇒ 0 + 6 = 6

⇒ 6 = 6

Since, these two are solutions of this equation, hence the equation of the given line is: 6x + 2y = 6

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In case it is a 270º Counter-clockwise rotation:

P'(3,-3), Q'(5,-5), R'(6,-3)

In case it is a 270º Clockwise rotation:

P'(-3, 3), Q'(-5,5), R'(-6,3)

1) Since in this case, there is a 270º rotation about the origin then we can write out the following:

As there is no mention of the direction then we'll do it for both cases.

2) For a 270º Counter-Clockwise rotation

Pre-image rule Image

P(3,3) (x,y)=(y,-x) P'(3,-3)

Q(5,5) Q'(5,-5)

R(3,6) R'(6,-3)

3) For a Clockwise Direction

Pre-image rule Image

P(3,3) (x,y)=(-y,x) P'(-3, 3)

Q(5,5) Q'(-5,5)

R(3,6) R'(-6,3)

STEP - BY - STEP EXPLANATION

Whatto find?

• 90% confidence interval for the population proportion.

• 95% confidence interval for the ppulation proportion.

Given:

n= 800

p=0.66

q=1- p= 1- 0.66 =0.34

a) Given a 90% confidence interval,

α =1- 0.90= 0.10

b)

Given 95% confidence interal.

1- 0.95 =0.

ANSWER

a) (0.6276, 0.6324)

Given:

Let's answer the following rounded to the closest benchmark.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Placing a concept on the Cartesian plane can help make it easier to visualize a point.

Numerical values of an ordered pair may be fractions or integers.

(x, y) represents an ordered pair, with x being the separation between a point and the primary axis (x).

In addition, y = ordinate calculates a location's separation from the secondary axis "y."

The point P will be represented mathematically as follows:

P = (6, 4) (6, 4)

The first number in the pair indicates the separation from the "x" axis, which is 6 pixels.

The second value in the ordered pair represents the 4 distance from the "y" axis.

Start from the origin and indicate the point on the Cartesian plane. Starting from the origin, move 6 steps in the direction of the "x" axis (to the right). Take 4 steps forward from this point to the "y" axis (upwards).

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7 is the value of x, and 64° is the measure of the unknown angle.

Triangle angles of 76°, (9x+1)°, and 40° are provided.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.

Now, the total of a triangle's three angles equals

76°+(9x+1)°+40°= 180°

⇒ 116+9x+1 = 180

⇒ 9x + 117 = 180

⇒ 9x = 63

⇒ x = 7

So, 9x+1=64°

As a result, x is equal to 7 and the unmeasured angle is 64°.

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7+14m

Explanation

Step 1

Let

m represents Marbel's age

Then,

the product of 14 and Mabel's age=

now, Seven more than the product of 14 and Mabel's age

then

Marcus's hourly income = $8.50

Amount that has already been saved by Marcus = $50

If Marcus wants to earn at least $475 for a new computer:

Let the amount of hours he will work to earn $475 = t

Since he earns $8.50 hourly and he already saved $475, the inequality will be of the form:

50 + 8.50t ≥ 475

8.50t ≥ 475 - 50

8.50t ≥ 425

t ≥ 425 / 8.50

t ≥ 50

Marcus must work for at least 50 hours

Given the parallelogram in the attached image.

Recall that two adjacent angles in a parallelogram add up to 180 degrees.

So;

Given;

A.40

Explanation

Step 1 (with number 347 and 490)

347

the digit 7 is at one's place

digit 4 is at ten's place

and digit 3 is at hundred's place

then

the value 4 represents is

Answer: 40,000

Step-by-step explanation:

347800:three hundered and forty-seven thousand. Big chunugess

s

The solution of the equation for t is t = i/pr

The equation is given as

i = prt

Divide both sides of the equation by p

So, we have the following equation

i/p = prt/p

Divide both sides of the equation by r

So, we have the following equation

i/pr = prt/pr

Evaluate the quotients

i/pr = t

Rewrite as

t = i/pr

By the above computation, we changed the subject of the formula in i = prt from i to t.

This implies that solving for t is a concept of subject of formula

Hence, the solution is t = i/pr

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Part D: There are more than 200,000 people in this city is the correct option

The population of the city in which Devon lives <=240000

Data interpretation: The process of examining data through some predetermined processes in order to give it some meaning and reach a pertinent conclusion is known as data interpretation. It entails using the outcomes of the data analysis to draw conclusions about the relationships that were looked at.

Part a:

According to this part, more than 300,000 people live in this city, which may be possible but we cannot be sure about it.

Part b:

According to this part more than 250,000 people live in the city, which may or may not be possible as we are sure only about 240,000 people

Part c:

According to this part, more than 245,000 people live in this city, which is again a may or may not be possible situation given the fact

Part d:

According to this part, more than 200,000 people live in the city. We are sure about this because it is estimated that 240,000 people live in the city. Hence this is the correct option

Although a part of your question is missing, you might refer to this full question: Devon lives in a city with an estimated population of 240,000 people. Which statement about this population is true?

A) There are more than 300,000 people in this city.

B) There are more than 250,000 people in this city.

C) There are more than 245,000 people in this city.

D) There are more than 200,000 people in this city

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Given: Mitchell's dog is 1/3 as old as Katie's cat. The sum of their ages is 12 years.

Required: To find out how old is Mitchell's dog.

Explanation: Let Mitchell's dog be x years old. Then Katie's cat is 3x. Now according to the question-

Hence Mitchell's dog is 3 years old.

Final Answer: Mitchell's dog is 3 years old.

Claim - The vertical pillars represent a state that has ratified the new government.

Evidence - The evidence is given in the document itself and is reflected in the cartoon. See the image attached.

Reasoning - The Massachusetts Centinel, August 2, 1789, "The Federal Pillars," via Library of Congress. The Massachusetts Centinel published a series of cartoons illustrating the Constitution's ratification. Each vertical pillar indicates a state that has approved the new administration.

The Constitution became the formal structure of the government of the United States of America on June 21, 1788, when New Hampshire became the ninth of 13 states to ratify it.

The Constitution has been revised 27 times, the most recently in 1992, despite the fact that over 11,000 modifications have been suggested since 1789. Article V of the Constitution specifies two procedures for proposing revisions to the document.

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Answer:

• The factoring pattern: Difference of two squares (Option A)

• The factored form: (a+9)(a-9).

Explanation:

Given the expression:

81 is the square of 9, thus, the expression above can be written in the form below.

The expression is a difference of two squares.

By the factoring pattern of the difference of two squares:

Thus, we have that:

• The factoring pattern: Difference of two squares (Option A)

• The factored form: (a+9)(a-9).

Answer:

Step-by-step explanation:

The results do not apply to any population because this was a convenience sample.

The confidence interval (0.53, 0.72) applies only to the population of those students who drive to the college. The correct answer is D.

The confidence interval is a statistical measure used to estimate an unknown population parameter, such as the proportion of students who support the building of a multi-level parking structure.

In this case, the students conducting the survey set up a table near the student parking lot and asked students who passed by to complete the survey. Therefore, the sample used for the survey consists only of students who use the student parking lot.

Since the survey was conducted exclusively among students who use the parking lot, the results and the subsequent confidence interval can only be generalized to that specific population.

The confidence interval (0.53, 0.72) represents the estimated range of proportions of students who support the parking structure within the population of students who drive to the college. It cannot be extended to the entire student body, students who do not use the parking lot, or any other population beyond those who drive to the college.

The correct answer is D.

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You have to translate the triangle ABC using the translation rule:

(x,y) → (x-1,y+2)

This rule indicates that the triangle will be translated 1 unit left and 2 units up. To determine the coordinates of each vertex after the translation, you have to subtract 1 to the x-coordinate of each point and add 2 to the y-coordinate.

Original → Translation

A(6,1) → A'(6-1,1+2) = A'(5,3)

B(1,7) → B'(1-1,7+2) = B'(0,9)

C(-3,-2) → C'(-3-1,-2+2) = C'(-4,0)

The coordinates of the vertices of triangle A'B'C' will be

A'(5,3)

B'(0,9)

C'(-4,0)

The correct option is C.

We can compute the mean by;

and the standard deviation by;

So the mean of the data set is 45.

The standard deviation is 3.5