i dont get it whats the answer

Answer:

The red 8

Step-by-step explanation:

Hope this helps

The number of ways to complete a true-false examination consisting of 23 questions is given as follows:

2^23 = 8,388,608.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In the context of this problem, the parameters are given as follows:

Hence the total number of outcomes is given as follows:

2^23 = 8,388,608.

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Answer: 3/8

Step-by-step explanation: You have a 1 in 5 chance of pulling an orange.

5/25, or if you need to simplify then 1/5

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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the slope of the line will be:

Answer:

d

Step-by-step explanation:

rotating vertical 90degrees will be horsontal and vice versa

Answer:

10,293

Step-by-step explanation:

To find an explicit formula for the sequence given by the recurrence relation dk = 8dk−1 − 16dk−2 with initial conditions d1 = 0 and d2 = 1, we can use the method of characteristic equations.

The characteristic equation for the recurrence relation is r^2 - 8r + 16 = 0. Factoring this equation, we get (r-4)^2 = 0, which means that the roots are both equal to 4.
Therefore, the general solution for the recurrence relation is of the form dk = c1(4)^k + c2k(4)^k, where c1 and c2 are constants that can be determined from the initial conditions.
Using d1 = 0 and d2 = 1, we can solve for c1 and c2. Substituting k = 1, we get 0 = c1(4)^1 + c2(4)^1, and substituting k = 2, we get 1 = c1(4)^2 + c2(2)(4)^2. Solving this system of equations, we find that c1 = 1/16 and c2 = -1/32.
Therefore, the explicit formula for the sequence is dk = (1/16)(4)^k - (1/32)k(4)^k.

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Answer:

-2, 1, and 3 only

Step-by-step explanation:

Because if You look at the graph..

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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Answer:

\(\mathrm{C.\:}25\)

Step-by-step explanation:

Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are \(16\) of these parts in total. Because each of these parts make up \(\frac{1}{4}\) of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.

The top left and bottom right both have one part shaded each for a total of \(2\) parts.

The top right and bottom left have \(0.5\) and \(1.5\) parts shaded, respectively, for a total of \(2\) parts.

Therefore, in total, there are \(2+2=4\) parts shaded out of \(16\) total parts.

Thus, the percentage of the total area that is shaded is:

\(\frac{4}{16}=\frac{1}{4}=\fbox{$25\%$}\).

The width, length and height of the box is 12.247 inch, 24.494 inch, 73.482 inch respectively.

We have given that Alina wants to make a rectangular box whose base is twice as long as it's wide and alina has 300 square inches of velvet.

i.e A = l × w

it s given that l = 2w

∴ A = 2w²

⇒ 300 = 2w²

      w² = 150

       w = 12.247 inch

i.e. l = 2w

     l = 2(12.247)

     l = 24.494 inch

Therefore length of the box is 24.494 inch and width is 12.247 inch.

Now we have to find height of the box.

For the height of rectangle we know the formula

i,e, Height = \(\frac{P}{2}\) - w

where P is perimeter

we will first find perimeter of rectangle.

Therefore P = 2(l + w)

                 P = 2(24.494 + 12.247)

                 P = 2(36.741)

                 P = 73.482 inch

Hence the height of the rectangle is 73.482 inch.

Therefore the Eliza's box that Alina make has width 12.247 inch, length 24.494 inch and height 73.482 inch.

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Answer:

137

Step-by-step explanation:

I hope this helps

Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%

A standard normal distribution table or a calculator that can perform the calculations based on the given z-scores.

To solve these problems, we'll use the properties of the normal distribution. Let's go through each question step by step:

b. What is the distribution of ¯xx¯? ¯xx¯~ N( ? ), (?)

The average of a sample follows a normal distribution with the same mean as the population and a standard deviation equal to the population standard deviation divided by the square root of the sample size. In this case, the population mean is 65, and the population standard deviation is 17. Since we have 50 randomly selected tires, the sample size is 50.

Therefore, the distribution of the sample mean ¯xx¯ is ¯xx¯~N(65, 17/√50).

c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 67.4 and 69.6?

To find this probability, we need to standardize the values using the z-score formula:

z = (x - μ) / σ

where x is the value we're interested in, μ is the population mean, and σ is the population standard deviation.

For 67.4:

z1 = (67.4 - 65) / 17

For 69.6:

z2 = (69.6 - 65) / 17

We can now use these z-scores to find the probabilities associated with the values using a standard normal distribution table or a calculator. The probability will be the difference between the two probabilities:

P(67.4 ≤ x ≤ 69.6) = P(z1 ≤ Z ≤ z2)

d. For the 50 tires tested, find the probability that the average miles (in thousands) before the need for replacement is between 67.4 and 69.6?

Since we're dealing with the average of the sample, we use the distribution ¯xx¯~N(65, 17/√50) as calculated in part b.

Again, we'll use the z-score formula to standardize the values:

z1 = (67.4 - 65) / (17 / √50)

z2 = (69.6 - 65) / (17 / √50)

Using these z-scores, we can find the probability:

P(67.4 ≤ ¯xx¯ ≤ 69.6) = P(z1 ≤ Z ≤ z2)

Please note that to obtain the precise probabilities, we would need to use a standard normal distribution table or a calculator that can perform the calculations based on the given z-scores.

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Answer:

multiply both the x value and y value by -1

Answer:

B. 183

Step-by-step explanation:

m<L = (1/2)[m(arc)KN - m(arc)KM)]

35 = (1/2)(177x - 107x)

70 = 70x

x = 1

m(arc)KN = 177x = 177

m(arc)NMK = 360 - m(arc)KN

m(arc)MNK = 360 - 177

m(arc)MNK = 183

Answer:

157.98  \(in^2\)

Step-by-step explanation:

Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches

To find: surface area of the pyramid

Solution:

Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.

Volume of the pyramid = \(\frac{1}{3}a^2h\)

Also,

Volume of the pyramid = 100 cubic inches

\(\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}\)

Surface area of the pyramid  \((S) =a\sqrt{4h^2+a^2}+a^2\)

So,

\(S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98\)

Surface area = 157.98  \(in^2\)

Answer:

Surface area of the pyramid = 157.99 in²

Step-by-step explanation:

Volume of a pyramid is given by the formula,

Volume = \(\frac{1}{3}(\text{Area of the base})\times \text{height}\)

100 = \(\frac{1}{3}\text{(Side)}^{2} \times \text{height}\)

300 = s² × 5

s² = 60

s = √60

s = 2√15 in ≈ 7.746 in

Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)

Area of square base = (Side)² = 60 in

Area of one lateral side = \(\frac{1}{2}(\text{Base})(\text{Lateral height})\)

Since Lateral height = \(\sqrt{(h)^{2}+(\frac{S}{2})^{2}}\) [By applying Pythagoras theorem in the given triangle]

                                  = \(\sqrt{(5)^{2}+(3.873)^{2}}\)

                                  = \(\sqrt{25+15}\)

                                  = \(\sqrt{40}\)

                                  = 6.325 in.

Now area of lateral side = \(\frac{1}{2}(7.746)(6.325)\)

                                        = 24.497 in²

Surface area of the pyramid = 60 + (4×24.497)

                                               = 60 + 97.987

                                               = 157.987 in²

                                               ≈ 157.99 in²

Therefore, the global maximum value of the function on the region B is 12, and the global minimum value is 4.

To find the global maximum and minimum values of the function f(x, y) = x² + y² + x²y + 4y² + x²y + 4 on the region B = {(x, y) ∈ R² | −1 ≤ x ≤ 1, -1 ≤ y ≤ 1}, we need to evaluate the function at its critical points within the given region and compare the function values.

1. Critical Points:

To find the critical points, we need to find the points where the gradient of the function is zero or undefined.

The gradient of f(x, y) is given by:

∇f(x, y) = (df/dx, df/dy) = (2x + 2xy + 2x, 2y + x² + 8y + x²).

Setting the partial derivatives equal to zero, we get:

2x + 2xy + 2x = 0          (Equation 1)

2y + x² + 8y + x² = 0      (Equation 2)

Simplifying Equation 1, we have:

2x(1 + y + 1) = 0

x(1 + y + 1) = 0

x(2 + y) = 0

So, either x = 0 or y = -2.

If x = 0, substituting this into Equation 2, we get:

2y + 0 + 8y + 0 = 0

10y = 0

y = 0

Thus, we have one critical point: (0, 0).

2. Evaluate Function at Critical Points and Boundary:

Next, we evaluate the function f(x, y) at the critical point and the boundary points of the region B.

(i) Critical point:

f(0, 0) = (0)² + (0)² + (0)²(0) + 4(0)² + (0)²(0) + 4

       = 0 + 0 + 0 + 0 + 0 + 4

       = 4

(ii) Boundary points:

- At (1, 1):

f(1, 1) = (1)² + (1)² + (1)²(1) + 4(1)² + (1)²(1) + 4

       = 1 + 1 + 1 + 4 + 1 + 4

       = 12

- At (1, -1):

f(1, -1) = (1)² + (-1)² + (1)²(-1) + 4(-1)² + (1)²(-1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, 1):

f(-1, 1) = (-1)² + (1)² + (-1)²(1) + 4(1)² + (-1)²(1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, -1):

f(-1, -1) = (-1)² + (-1)² + (-1)²(-1) + 4(-1)² + (-1)²(-1) + 4

          = 1 + 1 + 1 + 4 + 1 + 4

          = 12

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The width at the instant the width is decreasing at .5 units/sec is increasing 5 units per/sec.

How to find change in length or width?

Given:

Area of triangle = 100 units²

Area of triangle = Length * Width

Length * Width = 100

dl / st = 2 unit/sec

a) Find length

when dw/dt = -0.5 unit/sec

l * w = -0.5

l dw/dt + w dl/dt = 0

100/w (-0.5) + w(2) = 0

(- 50+ 2w²) / w = 0

2w² = 50

w² = 25

w = 5

Hence, the width at the instant the width is decreasing at .5 units/sec is increasing 5 units per sec.

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True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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When a transversal cuts two parallel lines, 8 angles are created.

When two lines do not cross one another, they are said to be parallel. In addition, parallel lines are two lines that cross each other at infinity.

A transversal line is one that crosses two other lines at two different locations. Line l meets a and b in the image below at two different locations, P and Q. Line l is the transversal line as a result.

Corresponding angles are those that are created when two parallel lines and a transversal intersect, also known as matching corners or corresponding corners.

∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

The pair of angles that are created on the outer side of two lines but on the other side of the transversal are known as alternate exterior angles.

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

When a transversal cuts two parallel lines, 8 angles are created.

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∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

The rotation rule used in this problem is given as follows:

90º counterclockwise rotation.

The five more known rotation rules are given as follows:

The equivalent vertices for this problem are given as follows:

Hence the rule is given as follows:

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

Which is a 90º counterclockwise rotation.

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Answer:

Step-by-step explanation:

You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.

Angles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.

  x + y + z = 290°

  x + 180° = 290°

  x = 110°

Angles x and y are vertical angles, so are congruent.

  y = x = 110°

Then z is found from ...

  y + z = 180°

  110° + z = 180°

  z = 70°

The measures of x, y, and z are 110°, 110°, and 70°, respectively.

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Answer:

Step-by-step explanation:

hello :

(p+q)² =  p²+q² +2pq

when p=7   q=3      2pq = 2 (7)(3) = 42

Answer:

y=2 x=0

Step-by-step explanation:

12x+2x=24

12 times 2+ 2 times 0

=24

Answer:

yes

Step-by-step explanation:

yes it is a parallelogram. As we can see it has opposite parallel sides. Opposite angles are equal. If we add another diagonal, the two diagonals will bisect each other.

Answer:

(-2, 8)

Step-by-step explanation:

Use the midpoint formula (see attachment)

x = (Xa + Xb)/2 = (3 - 7)/2 = -2

y = (Ya + Yb)/2 = (4 + 12)/2 = 8

so midpoint is (-2, 8)