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The figure below has a point marked with a large dot.
First, reflect the figure across the x-axis.
Then, give the coordinates of the marked point in the original figure and the final figure.

The probability that the person selected drives a truck exercises four or more times per week is 0.633.

The probability of an event occurring is known as probability. This might range from an occurrence being impossible to have a chance to happen to be certain for sure. Probability is measured mathematically on a scale from 0 to 1.

Given,

The person selected who drives a truck exercises four or more times per week.

P(The person selected drives a truck and exercises four or more times per week)

= 36/120 + 52/120 - 12/120

= 76/120

Simplifying,

= 19/30

= 0.633(approximately)

The probability that the person selected drives a truck exercises four or more times per week is 0.633.

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Answer:

5200 bagles could be made in 20 hours

Step-by-step explanation:

260 bagels : 1 hour

520 bagels : 2 hours (160 x 2)

780 bagels : 3 hours (260 x 3)

1040 bagles : 4 hours (260 x 4)

1300 bagles : 5 hours (260 x 5)

1560 bagles : 6 hours (260 x 6)

1820 bagles : 7 hours (260 x 7)

2080 bagles : 8 hours (260 x 8)

2340 bagels : 9 hours (260 x 9)

2600 bagels : 10 hour (260 x 10)

2860 bagels : 11 hours (260 x 11)

3120 bagles : 12 hours (260 x 12)

3380 bagles : 13 hours (260 x 13)

3640 bagles : 14 hours (260 x 14)

3900 bagles : 15 hours (260 x 15)

4160 bagles : 16 hours (260 x 16)

4420 bagles : 17 hours (260 x 17)

4680 bagles : 18 hours (260 x 18)

4940 bagles : 19 hours (260 x 19)

5200 bagels : 20 hours (260 x 20)

Answer:

21 : 4

Step-by-step explanation:

ratio of copper nickel = 84 : 16 ( divide both parts by 4 )

                                   = 21 : 4 ← in simplest form

Answer:

6c² + 2c + 1

Step-by-step explanation:

Rearrange the experresion.

Combine like terms.

Use the commutative property to reorder the terms.

Answer:

x= -2

Step-by-step explanation:

6x+8=x-2

6x-x= -2-8

5x= -10

x= -10/5

x= -2

Answer:

obtuse

Step-by-step explanation:

Since it has an obtuse angle, it is an obtuse triangle.

Answer:

B) Obtuse

Step-by-step explanation:

This triangle is an obtuse triangle because it contains one obtuse angle, which is 126° since that is greater than 90°.

The value of the given function \(log_6x+log_6(x-1)=1\) is x = 3 or x =-2

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x. In the simplest case, the logarithm counts the number of occurrences of the same factor in repeated multiplication; e.g. since 1000 = 10 × 10 × 10 = 10^3, the "logarithm base 10" of 1000 is 3, or \(log_1_01000=3\).

We know that

Log (a) + log (b) = log (ab)

So, \(log_6x+log_6(x-1)=1\)

\(log_6(x(x-1))=1\\log_6(x^2-x)=1\\x^2-x=6^1\\x^2-x-6=0\\\)

(x-3)(x+2)=0

So, x = 3 or x = -2

Therefore the value of the given Logarithmic function is x = 3 or x = -2

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About 20 soccer balls weigh more than 0.45 kg.

In general, 0.43 kg. 0.43 plus 0.1 plus 0.1 is 0.45, or two standard deviations more.

Balls that weigh less than 0.45 kg are all below the mean by 50%, and those that are two standard deviations above 95%/2=47.5% 50%+47.5% =97.7%.

2.5% of balls weighing greater than 0.45 kg (100% minus 97.7%)

2.3%=0.025

20 soccer balls weighing more than 0.45 kg are 800*0.025.

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Answer:

WAT DO U MEAN 30 POINTS UR ONLY GIVING 5

Step-by-step explanation:

ITS LITTERALLY RIGHT NEXT TO IT

Answer:

Closer to 30.

Step-by-step explanation:

To answer this first find 40% of 90.

90*0.4=36

0.4 is the same as 40%

Hope this helps!

If not, I am sorry.

The confidence interval (0.14, 0.26) and a sample size of 50 trees, it can be estimated that anywhere from 7 to 13 trees were dead but still standing in the large forest the correct answer is option A.

To determine the number of trees that were dead but still standing, we need to analyze the confidence interval provided. The confidence interval (0.14, 0.26) represents a range of values within which the true proportion of dead but still standing trees in the large forest is likely to fall.

The lower bound of the confidence interval is 0.14, which means that at least 14% of the trees in the forest are estimated to be dead but still standing. The upper bound of the confidence interval is 0.26, indicating that at most 26% of the trees are estimated to be dead but still standing.

To estimate the number of trees within this range, we multiply the lower and upper bounds of the confidence interval by the sample size of 50 trees. This gives us a range of 7 to 13 trees.

Therefore, based on the given information, we can conclude that anywhere from 7 to 13 trees were estimated to be dead but still standing in the large forest. The correct answer is option a: anywhere from 7 to 13.

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Answer:

8%

Step-by-step explanation:

Solving our equation

r = 1600 / ( 2000 × 10 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 1,600.00

from a principal of $ 2,000.00

over 10 years is 8% per year.

Therefore, the insect population will remain stable, neither increasing nor decreasing and the estimated  stable population is 2.

Given the equation:3-12+16 PO) 15-2+1

In order to determine the stability of a population of insects, we must first calculate the equilibrium value of PO.

A population's equilibrium is defined as the point at which the population remains stable over time, indicating that the population is neither declining nor growing indefinitely.

Stable population equilibrium is defined as follows:

Let P* be the equilibrium value of the population.

This implies that:P* = 15 - 2 + 1 / 3 - 12 + 16

This simplifies to:P* = 14/7 or 2

Therefore, the equilibrium value of the insect population is 2. If the population is greater than 2, it will decrease. If it is less than 2, it will increase.

In this case, the population of insects will settle into an equilibrium state.

The value of the stable population is 2.

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The solution to the inequality 4x + 6 ∠ -6 is x ∠ -3

inequality shows the relationship between two values in an algebraic expression that are not equal. Inequality signs can indicate that one variable of the two sides of the inequality is greater than, greater than or equal to, less than, or less than or equal to another value.

4x + 6 ∠ -6

taking 6 to the right hand side of the inequality

4x < -6 -6

4x < -12

divide both sides by 4

x < -12/4

x < -3

In conclusion, x < -3 is the solution to the Algebraic expression above.

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Answer:

Finding the exact volume is physically impossible, however, you can find a rough estimate by calculating side lengths and that stuff

Step-by-step explanation:

Answer:

20 chocolate cookies

Step-by-step explanation:

7 +5 + 8 + x = 40

7+5+8= 20 cookies non chocolate

subtract 20 from both sides

40-20= 20 chocolate cookies

2/3 ×12

= 2/1 × 4

= 2× 4

=8

........

Answer:

x ≥ -6

Step-by-step explanation:

The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)

Answer:

1st one: Reflection

2nd one: Rotation

3rd one: Rotation

4th one: Translation

Step-by-step explanation:

1: These figures are flipping across the y-axis, meaning it's a reflection.

2: This figure rotated 90° clockwise, so it's a rotation.

3: This figure rotated 180° both clockwise and counterclockwise, so it's a rotation.

4: This figure just shifted down and to the right, so it's a translation.

The smallest positive angle between vectors a and b is approximately 26.6°.The smallest positive angle between the given vectors to the nearest tenth of a degree is approximately 26.6°.

To find the smallest positive angle between the given vectors, we can use the dot product formula. Let's denote the given vectors by a and b respectively. a = <-2, -8> and b = <-1, 1>

Step 1: Calculate the magnitude of vector a and b. |a| = sqrt((-2)^2 + (-8)^2) = 2sqrt(5) and |b| = sqrt((-1)^2 + 1^2) = sqrt(2)

Step 2: Calculate the dot product of vectors a and b. a · b = (-2)(-1) + (-8)(1) = 10

Step 3: Calculate the angle between vectors a and b using the dot product formula. cos θ = (a · b)/(|a||b|) = 10/[2sqrt(5)· sqrt(2)] = sqrt(5)/2θ = cos^(-1) (sqrt(5)/2) ≈ 26.6° .

Therefore, the smallest positive angle between vectors a and b is approximately 26.6°. The smallest positive angle between the given vectors to the nearest tenth of a degree is approximately 26.6°.

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The U.S. Constitution empowers Congress to declare war on a foreign nation. The President, as the head of the executive branch, is responsible for planning and executing the nation's military policies.

According to the U.S. Constitution, the power to declare war on a foreign nation is vested in Congress. This allocation of authority to the legislative branch is outlined in Article I, Section 8, Clause 11, often referred to as the "War Powers Clause." It states that only Congress has the authority to declare war, as it is a significant decision that should involve the representatives of the people.

On the other hand, the responsibility for planning and executing the nation's military policies falls under the purview of the President, who serves as the head of the executive branch. As the Commander-in-Chief, the President has the power to direct and command the military forces of the United States. This authority is derived from Article II, Section 2 of the Constitution, which designates the President as the civilian leader of the armed forces.

The division of war powers between Congress and the President is a key aspect of the U.S. system of checks and balances. While Congress holds the authority to declare war, the President has the authority to wage war once it is declared or in the event of an imminent threat to the nation. This division ensures that the decision to engage in armed conflict receives deliberation from the legislative branch while allowing the executive branch to respond swiftly and effectively to national security concerns.

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The value of x in the triangle is 2√13.

We have,

There are two similar triangles.

So,

The ratio of the corresponding sides is equal.

Now,

4/x = x/(9 + 4)

4/x = x / 13

4 x 13 = x²

x² = 4 x 13

x = √(4 x 13)

x = 2√13

Thus,

The value of x in the triangle is 2√13.

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Answer: A. y + 2 = -3(x - 4).

C. y = -3x - 5/3 and E. 3x + y = 7

Step-by-step explanation:

got it correct on edge2020

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

Answer: 178

Step-by-step explanation:

89% x 200. Change percent to decimal by moving the decimal to the left two places.

.89 x 200 = 178

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

By solving a system of equations we will see that the correct option is A.

First, let's define the variables:

First, we know that 70 tickets were sold, so:

x + y = 70

And we know that they reached $804, then we have:

x*$10 + y*$12 = $804

Then our system is:

x + y = 70

x*$10 + y*$12 = $804

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:

x = 70 - y

Now we can replace that in the other equation to get:

(70 - y)*$10 + y*$12 = $804

$700 - y*$10 + y*$12 = $804

$700 + y*$2 = $804

y*$2 = $804 - $700 = $104

y = $104/$2 = 52

So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.

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Answer:

(2, -4)

Explanation:

When we reflect a point across the x-axis, we change the coordinates as follows:

(x, y) -----> (x, -y)

Then, the image of the point (2, 4) reflected across the x-axis is:

(2, 4) ------> (2, -4)

Answer:

Sorry icant help

Step-by-step explanation:

i never did this before