Simplify the expression.

4 + (11 - 3)2

A.) 68
B.)6
C.)20
D.)144​

The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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Answer:

(4d-1)+105=180=>

4d-1+105=180=>

4d+104=180=>

4d=76

d=19

9514 1404 393

Answer:

  (a)  26 units

Step-by-step explanation:

The left-side vertical line extends from y = -3 to y = +3, so is 3-(-3) = 6 units long.

The bottom side horizontal line extends from x = -5 to x = 2, so is 2 -(-5) - 7 units long.

The sum of these two sides is 6 + 7 = 13 units. These two sides make up half of the perimeter, which is the total length of all four sides.

The perimeter is 2 × 13 units = 26 units.

Answer:

D) 60 degree

Step-by-step explanation:

Let's connect the remaining diagonal, which forms a triangle containing angle x.

As a property of regular hexagon, all diagonals are equal.

=> The formed triangle is a regular triangle and it has three equal angles, which are 60 degrees.

Answer:

To maximize profit, the Banana Apple company should determine the number of each kind of apple box that they should make. To do this, they need to know the number of each type of apple that they have, as well as the price of each box.

Based on the information provided, the company has 2800 Golden apples, 2200 Macintosh apples, and 2300 Red Ida apples. This means that they can make 700 Box A's (2800 / 4 = 700), 1100 Box B's (2200 / 2 = 1100), and 575 Box C's (2300 / 4 = 575).

The price of each box is also given: Box A costs 3€, Box B costs 3€, and Box C costs 4€. This means that if the company makes 700 Box A's, they will earn 2100€ (700 x 3 = 2100€), if they make 1100 Box B's, they will earn 3300€ (1100 x 3 = 3300€), and if they make 575 Box C's, they will earn 2300€ (575 x 4 = 2300€).

To maximize profit, the company should make as many of the most profitable box as possible. In this case, the most profitable box is Box B, which earns 3€ per box. The company should make 1100 Box B's, which will earn them a total of 3300€.

Answer:

To solve this problem, we need to determine how many boxes of each type the company should make to maximize their profit. We can set up a system of equations to represent the number of apples in each box and the total number of apples the company has.

Let's call the number of boxes of type A x, the number of boxes of type B y, and the number of boxes of type C z. We can represent the number of apples in each box using the following equations:

x + y + z = 2800

4x + 6y + 0z = 2200

2x + 2y + 6z = 2300

To maximize the profit, the company should make as many boxes as possible while still having enough apples to fill all the boxes. We can solve this system of equations using substitution to find the values of x, y, and z that maximize the profit.

First, we can solve the first equation for z in terms of x and y:

z = 2800 - x - y

Next, we can substitute this expression for z into the second and third equations to eliminate z:

4x + 6y + 0(2800 - x - y) = 2200

4x + 6y = 2200

2x + 2y + 6(2800 - x - y) = 2300

2x + 2y + 17600 - 6x - 6y = 2300

2x + 2y = -15300

We can then solve this system of equations using substitution. From the second equation, we have:

4x + 6y = 2200

2x + 2y = -15300

We can solve the second equation for y in terms of x:

y = -15300/2 - x/2

We can substitute this expression for y into the first equation to solve for x:

4x + 6(-15300/2 - x/2) = 2200

4x - 45300 - 3x = 2200

x = (2200 + 45300) / (4 - 3)

x = 13600/1

x = 13600

We can then use this value of x to find the value of y:

y = -15300/2 - 13600/2

y = -13650

Finally, we can use these values of x and y to find the value of z:

z = 2800 - 13600 - (-13650)

z = 1650

Therefore, the company should make 13600 boxes of type A, -13650 boxes of type B, and 1650 boxes of type C to maximize their profit.

Step-by-step explanation:

Answer:

First one: x = 11°

Second one: x = 12°

Step-by-step explanation:

The first one:

5x + 10 + 58 = 11x + 2        (exterior angles of a triangle)

5x + 68 = 11x + 2

5x + 66 = 11x

66 = 6x

x = 11

The second one:

10x - 10 + 30 = 12x - 4         (exterior angles of a triangle)

10x + 20 = 12x - 4

10x + 24 = 12x

24 = 2x

x = 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

It should be they are equal to each other.

Step-by-step explanation:

the zero on the end of 46.030 adds no value to the number so now if you compare them it is 46.03 = 46.03

the p-value for this alternative hypothesis is 0.054

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true. In this case, the null hypothesis is that there is no difference in consumer satisfaction ratings between luxury and economy cars. The alternative hypothesis is that the satisfaction ratings for luxury cars are lower than those for economy cars.

Using the given t-value of 1.99 and degrees of freedom of 37, we can calculate the p-value using the t-distribution calculator. The p-value obtained is 0.0554, which is larger than the commonly used significance level of 0.05. This means that we do not have sufficient evidence to reject the null hypothesis and conclude that there is a significant difference in consumer satisfaction ratings between luxury and economy cars. Therefore, the correct answer is (c) 0.054.

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Answer: 128 people

Step-by-step explanation:

every 2 people get a gallon so 2*64=128

The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Answer:

f(x)= 8(0.5)^x

Step-by-step explanation:

As you can see on the graph there are two specific points labeled:

(0,8) and (1,4)

The 8 would be the initial value and starting point of the "design"

A is always the initial value so replace that.

Then proceed to divide 4 by 8 to figure out the percentage change its 0.5

leave x as it is

Answer:

We conclude that only option B is true.

i.e. The sum of points B and C is greater than point A

Step-by-step explanation:

Given the location of points on the left side of the number line

A=-6

B=-5

Given the location of points on the right side of the number line

C=3

D=4

Checking the statement A

The sum of points A, B, C, and D is greater than zero.

i.e. A+B+C+D > 0

-6 + -5 + 3 + 4 > 0

-11+7 > 0

-4 > 0

Thus,, this statement is false

Checking the statement B

The sum of points B and C is greater than point A

B+C>A

-5+3 > -6

-2 > -6

Thus, this statement is true.

Checking the statement C

The sum of points A and B is greater than point C

A+B > C

-6 + -5 > 3

-11 > 3

Thus, this statement is false

Checking the statement D

The opposite of point A is less than point D

As

A = -6

opposite of point A = -(-6)=6

The opposite of point A < D

                   6 < 4

Thus, this statement is false

Therefore, we conclude that only option B is true.

i.e. The sum of points B and C is greater than point A

The conditions for which it is possible to construct triangles are:

So, the condition for which it is possible to construct a triangle:

(A) 60°, 80°, and 80°:

(B) 4cm, 5cm, and 6cm:

(C) 4 cm, 5 cm, and 15 cm:

(D) 4cm, 5 cm, and 50°:

(E) 30°, 60°, and 3 cm:

Therefore, the conditions for which it is possible to construct triangles are:

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Answer:

5.44

Step-by-step explanation:

1.6*3.4=5.44

Answer:

\(2.3x+1.4=8.5\), width = 3.087 feet.

Step-by-step explanation:

Let as consider width of the door be x feet.

It is given that height of a door is 1.4 feet more than 2.3 times its width. So,

\(Height=2.3x+1.4\)

The height of the door is 8.5 feet.

\(2.3x+1.4=8.5\)

Therefore, the required equation is \(2.3x+1.4=8.5\).

\(2.3x=8.5-1.4\)

\(2.3x=7.1\)

\(x=\dfrac{7.1}{2.3}\)

\(x\approx 3.087\)

So, the width of the door is about 3.087 feet.

Answer:

$5.00

Step-by-step explanation:

All we have to do is multiply 25 x 1/5 or 20%

25 x 1/5 = $5.00

to check, $5 x 5 = 25

x = 8.33 and the solution to the equation 12x = 100 is x = 8.33 (rounded to the nearest hundredth).

To solve the equation 12x = 100, we need to isolate the variable x. We can do this by dividing both sides of the equation by 12.

12x = 100

Dividing both sides by 12:

(12x)/12 = 100/12

Simplifying:

x = 100/12

Now, let's calculate the value of x.

x = 8.33 (rounded to the nearest hundredth)

Therefore, the solution to the equation 12x = 100 is x = 8.33 (rounded to the nearest hundredth).

Here's the step-by-step solution:

12x = 100 (given equation)

Divide both sides by 12: (12x)/12 = 100/12

Simplify: x = 8.33

Please note that the answer is rounded to the nearest hundredth as requested.

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Answer: top green one

Step-by-step explanation:

Quadrilateral

Option (b) is the correct, which shows trapezoid with one pair of parallel lines.

A trapezoid, also known as a trapezium, is a closed shape having four sides,  in which one pair of lines is parallel.

To show trapezoid with only 1 pair of sides,

Solve with the help of options,

(a) In the given shape, both the pair of sides are parallel.

(b) In the given shape, one side is parallel, and defines the shape of trapezoid.

(c) in the given shape, not any side is parallel to other side.

(d) In the given shape,  both the pair of sides are parallel.

Option (b) is the only option that satisfies the given condition.

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Answer:

14.387

Step-by-step explanation:

This sounds confusing but once I explain you'll get it ;). It is saying that if fractions with the same numerator, or top part of the fraction, are the same, then the smaller denominator, or bottom part, is greater. In other words, the fraction 1/3 has the same numerator as 1/2, but 1/2 half is larger because the denominator is smaller. I hope this helps.

The measure of angle TDC in the triangle is 32 degrees.

The tangent CD forms a right angle with the radius CT of the circle. This forms a right angle triangle.

Therefore, the sum of angles in the triangle is 180 degrees.

Hence,

∠C = 90 degrees

Therefore,

3x + 14 + 8x + 10 + 90 = 180

11x + 114 = 180

11x = 180 - 114

11x = 66

divide both sides by 11

x = 66 / 11

x = 6

Therefore,

∠TDC = 3x + 14 = 3(6) + 14 = 18 + 14 = 32 degrees.

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To find f(4) you divide the given polynomial into (x-4):

To divide:

1. Divide the first term of the dividend by the highest term of the divisor:

2. Multiply the divisor by the result:

3. Substract the product in step 2 from the appropiat terms of the dividend (when you substract the symbols change) (then bring down the next term from the dividend)

4. Repeat previous steps:

As the remainder is -25:

Answer:

14: 49 units

16: 44 units

18: 28 units

Step-by-step explanation:

14) Just subtract 64-15

16) Add 9+35 (the sign won't matter cus its just distance)

18) 35-7 gives u 28

Hope this helps!! :))

Answer:

A'''(-1,3), B'''(2,2) and C'''(3,-3)

Step-by-step explanation:

Hello There!

So the first thing we need to do is reflect the coordinates given over the y = x line which would be a straight line across the origin with a rate of change of 1

The rule for a reflection over the y = x line is  (x,y) ----> (y,x)

so pretty much we're just flipping the y and x values

(1,6) ---> (6,1)

(2,9) ---> (9,2)

(7,10) ---> (10,7)

so the new coordinates of A'B'C' are A'(6,1) , B'(9,2), and C'(10,7)

Now we want to reflect the points over the x axis

The rule for reflection over the x axis is (x,y) ----> (x,-y)

so the x value stays the same and the y values sign just get flipped so if the y value was originally negative then it will change to positive vise versa

(6,1) ---> (6,-1)

(9,2) ---> (9,-2)

(10,7) ---> (10,-7)

So the coordinates of A''B''C'' are  A''(6,-1) , B''(9,-2), and C''(10,-7)

Our final step is to translate 7 units to the left 4 units up

so the rule would be (x,y) ----> (x - 7, y + 4)

6-7=-1 | -1+4=3

(6,-1) ---> (-1,3)

9-7=2 | -2+4=2

(9,-2) ---> (2,2)

10-7=3 | -7+4=-3

(10,-7) ---> (3,-3)

so the after the three transformations the coordinates would be

A'''(-1,3), B'''(2,2) and C'''(3,-3)

Answer:

y = 6/7x -16/7

Step-by-step explanation:

6x - 7y= 16

Subtract 6x from each side

6x-7y-6x = -6x+16

-7y = -6x+16

Divide by -7

-7y/-7 = -6x/-7 + 16/-7

y = 6/7x -16/7

6x - 7y = 16

Subtract 6x from both sides.

-7y = -6x + 16

Divide both sides by -7

y = 6/7x - 16/7

Answer:

  9

Step-by-step explanation:

Sammy's rate of eating pizza is ...

  pizza/hour = (6/7)/(2/21) = (18/21)/(2/21) = 18/2 = 9

Sammy eats pizza at the rate of 9 pizzas in one hour.

_____

Comment on the question

Sammy may only eat 6/7 of a pizza in an hour, because he is no longer hungry after eating that much.

answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

Answer:

This answer is 67 because I think its the answer and I'm really just trying to get points on early sorry but you are