Find cos 0, sece, and cote, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answer:

161.3000

Step-by-step explanation:

With a random sample of 20 ladybugs, the probability of seeing an average American ladybug length between 0.95 cm and 1.05 cm is approximately 0.9978.

Since the sample size is 20: we need to use a t-distribution instead of a normal distribution. We are not given the population standard deviation so we need to use the sample standard deviation as an estimate.

Assuming that the sample is representative of the population, we can assume that the population distribution is approximately normal due to the central limit theorem.

To begin, we must compute the sample mean and standard deviation:

Next we need to calculate the standard error of the mean (SEM):

Next we need to standardize the range of values using the formula: t = (x - μ) / SEM, where x is the sample mean, μ is the population mean (which is also equal to x in this case) & SEM is the standard error of the mean.

Using a t-distribution table or calculator with 19 degrees of freedom (n-1), the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm is approximately 0.9978.

This question should be provided as:

1. American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 644000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability?

Select one:

2. Regardless of your answer to the previous question, calculate this probability using a normal distribution. Report your answer to four decimal places.

3. Calculate the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm for a random sample of 20 ladybugs. Give your answer accurate to four decimal places. If you found assumptions to be violated in the previous question, answer this question as if the assumptions had not been violated.

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Answer:

\(m=\frac{y2-y1}{x2-x1}\)

Step-by-step explanation:

Answer:

\(\huge\boxed{m=\frac{y_2-y_1}{x_2-x_1} }\)

Step-by-step explanation:

The equation for slope is \(m=\frac{y_2-y_1}{x_2-x_1}\), when given two points,

\((x_1,y_1), and (x_2,y_2)\).

Hope it helps :) and let me know if you want me to elaborate.

The number of feet is dependent on the number of yards. The table is completed as shown in the attachment.

A variable whose value can be determined only if another variable's value is known is called a dependent variable. Thus the value of the variable depends on another variable.

In the given question, the number of feet can be known when that of yards is multiplied by a multiplicative factor. The value of the factor can be determined as;

multiplicative factor = 15/ 5

                                      = 3

So that feet is related to that of yards by this expression;

feet = multiplicative factor * yards

Thus,

when yards is 2, then;

feet = 3 * 2

       = 6

when feet = 12

12 = 3 * yards

yards = 12/ 3

         = 4

Thus the complete table is herewith attached to this answer for more clarifications.

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Answer:

Angle k= 105

Angle n= 40

Angle m= 65

Answer:

m∡k = 105°

m∡n = 40°

m∡m = 65°

Step-by-step explanation:

m∡k = 105° because this angle forms a linear pair with a 75° angle

m∡n = 40° because this angle forms a linear pair with a 140° angle

m∡m = 65° because there are 180° in a triangle and one angle is 75° and the other angle is a vertical angle to angle 'n' which means they are equal

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

The rate column will be:

A= 30

B= 20

C= x miles

D= x miles

It should be noted that rate simply means the measure, quantity, or frequency that one measure against another quantity or measure.

In this case, Jorden drives to the store at 30 miles per hour and on her way home she averages only 20 miles per hour.

Therefore, the rate column will be:

A= 30

B= 20

C= x miles

D= x miles

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Fill out the Rate column in the table below. Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =

Answer:

B is the correct answer from my understanding

Step-by-step explanation:

Hi there!

\(\large\boxed{0.5 \text{ hours, or } 30 \text{ minutes}}\)

Use the formula d / s = t to solve for the time needed for each:

Distance = 20 miles

(J)

20 m / 10 mph  = 2 hours

(B)

20 m / 8 mph = 2.5 hours

Subtract the times to find the amount of time necessary to wait:

2.5 - 2 = 0.5 hours or 30 minutes.

The inequality y ≤ -4 is NOT part of the system of inequalities that defines a polygonal convex set that includes a the interior of a square whose vertices are A(4, 4), B(4, -4), C(-4, -4) and D(4, -4).

As per the given data the interior of a square whose vertices are:

A(4, 4), B(4, -4), C(-4, -4) and D(4, -4)

Diagram attached at the end of solution.

The shaded portion is the polygonal convex set, which represents the interior of the square

Clearly for points inside the set,

x ≤ 4, x ≥ - 4, y ≤ 4 and y ≥ -4

Hence options

(a) The inequality y ≥ -4 represent points inside the set.

(b) The inequality x ≥ - 4 represent points inside the set.

(c) The inequality y ≤ -4 does not represent points inside the set.

(d) The inequality x ≤ 4 represent points inside the set.

Therefore option (c), the inequality y ≤ -4, does not represent points inside the set.

Thus (c) is the correct one.

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Answer:

0

Step-by-step explanation:

god made it that way

Answer:

Decomposers

Step-by-step explanation:

They are breaking down waste sometimes decomposers break down other dead organisms as well.

Answer:

decomposers. hope i helped!

Step-by-step explanation:

decomposers are bacteria who eat dead things or droppings!

Answer:

The interest is 1600

Step-by-step explanation:

Answer:

Most likely a street

Step-by-step explanation:

depends on how big the track is

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

the regular price of the hiking boots were 65$

The mode (A) is the measure of variability used for nominal variables such as gender and political party.

When dealing with nominal variables, which represent categories or labels rather than numerical values, the mode is the most appropriate measure of variability. The mode identifies the category that appears most frequently in the dataset, representing the most common or prevalent attribute among the respondents.

In the case of gender, for example, the mode would indicate whether the majority of the sample identifies as male or female. Similarly, for political party affiliation, the mode would identify the party that has the highest number of members within the dataset.

Unlike other measures such as the standard deviation (C) or stratified variance (D), which are more suitable for numerical variables, the mode is specifically designed to capture the distribution and central tendency of nominal variables. It provides valuable insight into the dominant category within the dataset, highlighting the most frequent attribute among the observations.

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Answer:

18.75 years

Step-by-step explanation:

first multiply the amount to the rate

5,000 × 8% = 400

second

7,500/ 400 = 18.75

it takes 18.75 to reach 7,500

The linear correlation coefficient between the variables X and Y is given by r = (Sxy / sqrt(Sxx * Syy)). To find the linear correlation coefficient, we need to calculate Sxy and Sxx first.

The formula for Sxy is Sxy = Σ(xi * yi) - (Σxi * Σyi) / n, where xi and yi are the individual values of X and Y, Σ denotes the sum, and n is the sample size.

Given that the slope of the regression line is 0.375, we can deduce that Sxy = b * Sxx, where b is the slope of the regression line. Therefore, Sxy = 0.375 * Sxx.

Next, we calculate Sxx using the formula Sxx = Σ(xi^2) - (Σxi)^2 / n.

Given that S = 80, we can substitute the values into the formula to find Sxx = (80^2) - (Σxi)^2 / n.

Using the information provided in the question, we have Syy = 54.75.

Now, we can substitute the values of Sxy, Sxx, and Syy into the formula for the linear correlation coefficient: r = (Sxy / sqrt(Sxx * Syy)).

By substituting Sxy = 0.375 * Sxx, Sxx from the previous step, and Syy = 54.75 into the formula, we can calculate the value of r.

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The number of comparisons required for an array of length 512 is

1+log2(512)=1+9=10.

Binary search:

Searching is an operation done to find the required element (or key) among a group of elements (an array).

Binary search or logarithmic search is a type of searching algorithm that can be used on a sorted array.

In this algorithm, we always check the middle number and compare the key with it. If the key equals the middle number, we're done. If the key is greater than the middle number, we know the key (if it's in the array at all) must be in the right half of the array. Conversely, if the key is less than the middle number, we know the key (if it's in the array at all) must be in the left half of the array. In other words, at every step of the search, we cut the array we're searching through in half. Of course, this only works because the array we started with is sorted.

In a binary search, at every step we compare the key with the middlemost value. If the key is greater than the middlemost value, we discard the left half of the data. If the key is less than the middlemost value, we discard the right half of the data. This process is repeated until we find the element we are looking for.

If we start with an array of length 2=21

, the worst-case scenario is we have to compare the key with both elements: 2 comparisons.

If we start with an array of length

4=22, the worst-case scenario is the key is not the middlemost element, we reduce our search to a 2-element array, and then we're in the worst-case scenario of the previous case: 1+2=3 comparisons.

If we start with an array of length

8=23

, the worst-case scenario is the key is not the middlemost element, we reduce our search to a 4-element array, and then we're in the worst-case scenario of the previous case: 1+3=4 comparisons.

Do you see a pattern? If we start with an array of length

2k, the worst-case scenario is we make 1+k

comparisons. Since 512=2log2(512)=29

The number of comparisons required for an array of length 512 is

1+log2(512)=1+9=10.

In general, the number of comparisons required for an array of length

n is 1+log2(n)

. We usually just round this to

log2(n). Remember that

log2(n)

is basically the number of times n can be cut in half until we get down to 1 or less, so this makes sense.

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Thus, the critical value is 0.707 and there is not enough evidence to support the claim that there is a linear correlation between the heights of mothers and their daughters.

Based on the information provided, the linear correlation coefficient between the heights of mothers and daughters is 0.693.

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The probability that the average score of the golfers exceeded 62 = 0.0228

Given the mean score of all golfers, μ = 72

and the Standard Deviation, σ = 4

Number of golf players, n = 64

We have to find the probability that the average score of the golfers exceed 73. i.e., x = 73

This follows the Normal Distribution.

Hence the z-score, Z = (x - μ)/(σ/√n)

                                   = (73 - 72)√64/4

                                   = 2

Probability that the average score of the golfers exceeded 73 = P(Z > 2)

                                                                                                        = 0.0228 [from the z-tables]

The question is incomplete. Find the complete question below:

t\The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the golfers exceeded 73 .

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To show that if one set is a subset of another then the other's complement is a subset of the first's complement, we can use the definition of set complement and subset.

Let's assume that A is a subset of B, which means that every element of A is also an element of B. We want to show that the complement of B, denoted by B', is a subset of the complement of A, denoted by A'.

To prove this, we need to show that every element of B' is also an element of A'. Let x be an arbitrary element of B'. By definition, x is not an element of B. Since A is a subset of B, x cannot be an element of A either. Therefore, x must be an element of A', which means that B' is a subset of A'.

In summary, if A is a subset of B, then B' is a subset of A'.

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Answer:

4:7 = 32:56

Step-by-step explanation:

4 x 8 = 32

7 x 8 = 36

Hope this helped!

PLZZZZZ give me brainliest

Answer:  32:56

Step-by-step explanation:

because first I divided 56/7=8 and then did 4*8=32. You're welcome!!! c:

Possibilities that both Tyrone and Alisha are correct, depending on the specific expression they are trying to simplify.

In order to determine who is correct between Tyrone and Alisha, we must first look at the expression that they are trying to simplify.

Depending on the expression, different methods may be more appropriate. Without the expression provided, it is difficult to say definitively who is correct.
However,

If we assume that the expression is in the form of a fraction with variables raised to different powers, then both Tyrone and Alisha could potentially be correct.
Raising the numerator and denominator to the third power is a valid method of simplifying expressions that involve fractional exponents.

This is because raising a fraction to a power is equivalent to raising both the numerator and denominator to that power.

By doing this, we can eliminate the fractional exponents and potentially combine like terms.
On the other hand, applying the quotient of powers is another valid method of simplifying expressions with exponents.

This involves dividing the powers of the same base when they are being divided. For example, if we have (\(a^3\))/(\(a^2\)), we can simplify this to a(3-2) = a.
It is important to remember that there may be multiple ways to simplify an expression and it is up to the individual to choose the method that they are most comfortable with.

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Step-by-step explanation and Answer:

i) 48-(10-3+(\(4^{2}\)))+2 x (4)

=33

ii)7 x (2) + 3 x (5)-(2)-1)³

=2

iii) (3 x 10)+9  x (3)-3

=54

iv)135÷ (1+\(2^{2}\)) -(8)-5)x 4

=15

Based on the recorded results, purple appeared 12 times out of a total of 55 spins. If the spinner is spun 1000 more times, we can estimate that purple would appear approximately 218 times.

In the recorded results, the spinner was spun a total of 55 times, with purple appearing 12 times. To estimate the expected frequency of purple in 1000 additional spins, we can calculate the probability of landing on purple based on the recorded frequencies. The probability of landing on purple can be calculated by dividing the frequency of purple (12) by the total number of spins (55):

Probability of landing on purple = Frequency of purple / Total number of spins = 12 / 55

We can use this probability to estimate the expected frequency of purple in the additional 1000 spins:

Expected frequency of purple = Probability of landing on purple * Total number of additional spins

≈ (12 / 55) * 1000

≈ 218

Therefore, based on this estimation, we would expect purple to appear approximately 218 times if the spinner is spun 1000 more times.

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Answer:

48

Step-by-step explanation:

since this is a linear Angle, the total sum will be 180. Given Angle is 132. so answer will be:

180-132= 48

Answer:

Step-by-step explanation:

The sum of adjacent angles on a straight line is 180°. i.e. In the figure, we are given is a straight line, then n and 132° are the adjacent angles.

n + 132° = 180

n = 180 - 132

n = 48

Hence, the measure of the unknown angle is 48°.

Answer:

Step-by-step explanation:

\(\frac{-12}{3} (-8+(-4)^{2} -6)+2\)

-4(-8+16-6)+2

-4(2)+2

-8+2

-6