find all possible values of theta if it is between
\(0 \leqslant x \leqslant 360\)
3cos(x)-5sin(x)=0. ​

The following line of code in Python calculates the probability P(t > 0.115) for a Student's t-distribution with mean 0, standard deviation 1, and 49 degrees of freedom:

import scipy.stats as stats

1 - stats.t.cdf(0.115, df=49)

The cdf function calculates the cumulative density function (CDF) of the t-distribution, which gives the probability that the random variable (t-statistic) is less than or equal to a given value. To find the probability that it is greater than a given value, we subtract the CDF from 1.

Standard deviation is a statistical measure that calculates the amount of variation or dispersion of a set of data values. It represents how far the data points in a set deviate from the mean.

A low standard deviation indicates that the data points are close to the mean, while a high standard deviation indicates that the data points are more spread out.

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Based on the provided data, the dot plot that represents the number of text messages received by a group of 25 students in a day would show dots arranged vertically along a number line corresponding to the frequency of each value.

The number line would start from 8 and extend to 16, with dots placed above the appropriate value on the number line to represent its frequency.

To create the dot plot, we count the frequency of each value and place a dot above that value on the number line. Looking at the data, we can observe that the values range from 8 to 16. The frequency of each value is as follows: 8 (1), 10 (2), 11 (2), 12 (2), 13 (4), 14 (6), 15 (5), and 16 (3).

On the basis of the given data, the dot plot would have dots arranged vertically above the values on the number line:

1 dot above 8

2 dots above 10

2 dots above 11

2 dots above 12

4 dots above 13

6 dots above 14

5 dots above 15    and

3 dots above 16

This arrangement accurately represents the frequency distribution of the given data.

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By using Dirac delta function, δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.

Here's how to show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)]

To show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)],

we can use the definition of Dirac delta function.

Dirac delta function is defined as follows:∫δ(x)dx=1and 0 if x≠0

In order to solve the given expression, we have to take the integral of both sides from negative infinity to infinity, which is given below:∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dx

To compute the left-hand side, we use a substitution u=x^2-a^2 du=2xdxWhen x=-a, u=a^2-a^2=0 and when x=a, u=a^2-a^2=0.

Therefore,-∞∫∞δ(x^2-a^2)dx=-∞∫∞δ(u)1/2adx=1/2a

Similarly, the right-hand side becomes:∫1/2a[δ(x-a)+ δ(x+a)]dx=1/2a∫δ(x-a)dx +1/2a∫δ(x+a)dx=1/2a + 1/2a=1/2a

Therefore,∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dxHence, δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)].

Next, we can show that δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ as follows:We know that cosθ = cosθ' which implies θ=θ'+2nπ or θ=-θ'-2nπ.

Therefore, c0sθ-cosθ'=c0s(θ'-2nπ)-cosθ'=c0sθ'-cosθ' = sinθ'c0sθ-sinθ'cosθ'.

We can use the following identity to simplify the above expression:c0sA-B= c0sAcosB-sinAsinB

Therefore,c0sθ-cosθ' =sinθ'c0sθ-sinθ'cosθ'=sinθ'[c0sθ-sinθ'cosθ']/sinθ' =δ(θ-θ')/sinθ'

Hence,δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.

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Determine if arithmetic

23 - 18 = 5

18 - 13 = 5

13 - 8 = 5

Adds 5 every time

Starting point 8

y = 8 + 5(n-1)

verify if first is right

1st term

8 + 5(0) = 8

second term

8 + 5(2 - 1) = 8 + 5 = 13

plug in 63

8 + 5(63-1) = 318

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

The probability of winning the board game Monopoly is 32.5% if you move first. If you play 20 games of monopoly where you move first, the probability that you win at least 10 out of 20 times is 0.334.

          Monopoly is a game of chance where the probability of winning changes depending on the variables. When you move first in a game of Monopoly, the probability of winning is 32.5%. If you play 20 games of Monopoly where you move first, you need to determine the probability of winning at least ten games.

       We can determine this by using a binomial distribution. A binomial distribution is used to determine the probability of the number of successes or failures in a fixed number of independent trials.

The formula for the binomial distribution is:

      P(X=k) = C(n,k) * p^k * (1-p)^(n-k)

Where:

P(X=k) = probability of k successes
n = number of trials
k = number of successes
p = probability of success
(1-p) = probability of failure
C(n,k) = the number of combinations of n things taken k at a time.

Using this formula, we can determine the probability of winning at least ten games of Monopoly out of twenty. We need to find the probability of winning exactly ten games, eleven games, twelve games, and so on, up to twenty games. We can then add these probabilities together to get the probability of winning at least ten games.

     P(X>=10) = P(X=10) + P(X=11) + P(X=12) + ... + P(X=20)

     P(X=k) = C(20,k) * 0.325^k * 0.675^(20-k)

Therefore, the probability that you win at least 10 out of 20 times is:

         P(X>=10) = 0.334

    Hence, the answer is 0.334.

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

2(x+1)+3x=37

simplifythe left side:

2x +2 +3x = 37

Combine like terms:

5x +2 = 37

Subtract 2 from both sides:

5x = 35

Divide both sides by 5:

x = 7

Answer:

x=7

Step-by-step explanation:

2(x+1)+3x=37

Distribute

2x+2 +3x = 37

Combine like terms

5x+2 = 37

Subtract 2 from each side

5x+2-2=37-2

5x = 35

Divide by 5

5x/5 = 35/5

x=7

Answer:

equation of the line is y =  -  \(\frac{11}{2}\) x- 52

========================================================

Explanation:

There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.

Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%

Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%

The groups of numbers could represent a success 80 percent is {0, 1, 2, 3, 4, 5, 6, 7}. Therefore, option C is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

To simulate an event that has a probability of success of 80%.

Now, 8/10 ×100

= 8×10

= 80%

Therefore, option C is the correct answer.

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9 and -9

Step-by-step explanation:

The distance between both are 18, and they are opposites because one is positive, and the other is negative.

Answer:

If the first digit cannot be 8, there are 9 choices for the first digit (any digit from 1 to 9).

(a) If only odd digits are used, there are 5 choices for each of the remaining 6 digits (1, 3, 5, 7, or 9). Therefore, the total number of possible 7-digit telephone numbers with only odd digits is:

9 * 5 * 5 * 5 * 5 * 5 * 5 = 59,531,250

So there are 59,531,250 possible 7-digit telephone numbers if the first digit cannot be 8 and only odd digits are used.

Step-by-step explanation:

There are 50,000 possible 7-digit telephone number using only odd digits and with the first digit not being 8.

To determine the number of possible 7-digit telephone numbers using only odd digits and with the first digit not being 8, let's consider the following:

Odd digits: 1, 3, 5, 7, and 9
Number of odd digits: 5

a) Only odd digits are used:
For the first digit, there are 4 choices (1, 3, 5, and 7) since it cannot be 8. For the remaining 6 digits, we have 5 choices each (1, 3, 5, 7, and 9) since they can be any odd digit.

Step 1: First digit - 4 choices
Step 2: Second digit - 5 choices
Step 3: Third digit - 5 choices
Step 4: Fourth digit - 5 choices
Step 5: Fifth digit - 5 choices
Step 6: Sixth digit - 5 choices
Step 7: Seventh digit - 5 choices

To find the total number of possible 7-digit telephone numbers, multiply the number of choices for each digit together:

Total possibilities = 4 × 5 × 5 × 5 × 5 × 5 × 5 = 4 × 5^6 = 50,000

So, there are 50,000 possible 7-digit telephone numbers using only odd digits and with the first digit not being 8.

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The probability of observing less than 3 heads is  0.6875 when you flip a coin four times.

Probability is a method that is used to find the number of events likely to occur. There are 3 types of probability which are Theoretical Probability, Experimental Probability, and Axiomatic Probability.

The formula used to find the probability is given as ;

P(E) = Number of Outcomes / Total Number of Outcomes.

We have to find the probability of observing less than 3 heads.

if the coin is tossed four times then the total number of outcomes is 16

Let X be the number of heads observed in 4 tosses of a coin, Then

the probability of getting x heads in 4 flips  is P ( X = x )

The probability of observing less than 3 heads is expressed as,

P ( X < 3 ).

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= 1/16 + 4/16 + 6/16

= 11/16

= 0.6875

Therefore, the probability of observing less than 3 heads is 0.6875.

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Answer:

x=15

Step-by-step explanation:

we know that 8x+4x= 180 so then we add 8x to 4x and we get 12x then we divide 180 by twelve and 12x by twelve to get that x=15

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer:9

Step-by-step explanation:sun *3

first blank: LNM

second blank: MLN

third blank: Reflexive property

fourth blank: ASA

I hope this helps!

The triangle LNO is congruent to triangle LNM by the SAS Congruence Theorem.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

It seems that there is some missing information in the question as the congruence of angle LNO and angle MNO is not specified. However, assuming that angle LNO is congruent to angle MNO, and angle OLN is congruent to angle OMN, we can use the following congruence theorem to prove that triangle LNO is congruent to triangle LNM:

By the Side-Angle-Side (SAS) Congruence Theorem, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

In this case, we know that side LN is congruent to side LN (by the reflexive property), and angle LNO is congruent to angle MNO, and angle OLN is congruent to angle OMN. Therefore, we can conclude that triangle LNO is congruent to triangle LNM by the SAS Congruence Theorem.

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Answer:

11(x+10)=132 x = 2

Step-by-step explanation:

Step 1: Distribute the 11 to the "x" and the "10".

          (Equation now becomes 11x + 110 =132)

Step 2: Subtract the "110" over to the "132"

          (Equation now becomes 11x=22)

Step 3: Divide the "11" and the "22" --> 11x=22

                                                                11    11

Answer : x = 2

Answer:

are there no options

Step-by-step explanation:

?

Answer:

Shown in the image

Step-by-step explanation:

The number line

It's a graphic representation of the real numbers, usually centered at the value 0 and where the positive numbers running to the right, the negative numbers running to the left.

The product (-4)(-2)(-1) can be operated by multiplying the signs apart from the magnitudes. Recall an odd number of negative signs results in a negative number:

(-) * (-) * (-) = -

The product of the magnitudes is 4*2*1=8. Thus the result is -8.

The representation of this number is shown in the image below.

Answer:

Point A is your answer. ..

Answer:

Step-by-step explanation:

The volume of the container is (4x-3)(x+2)(x+1) cubic feet.

Six faces make up the three-dimensional shape of a rectangular prism. The prism's faces are all rectangles. The shape of a rectangular prism is cuboidal.

There are two sets of parallel and congruent bases in this polyhedron. It has eight vertices, 12 sides, and six faces. Rectangular prisms are also known as a right rectangular prism, rectangular parallelepiped, and rectangular hexahedron.

Right rectangular prisms and oblique prisms are the two primary varieties of rectangular prisms. The bases of a right rectangular prism are parallel to the other faces.

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The technique for determining an array index using only a search key and not searching is called hashing.

Hashing is a method that maps data to a fixed-size array called a hash table. In this technique, a hash function is used to generate a unique index for each search key. The hash function takes the search key as input and performs some calculations to produce the index value.

This index is then used to access the corresponding element in the array, providing direct access to the desired data without the need for further searching.

Hashing is the technique of determining an array index using only a search key.

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The probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648

Number of Aces in deck = 4

The probability that they pick no ace in one trail

= (52 - 4) / 52

= 48 / 52

= 12 / 13

The probability that the picks no ace in 25 trials are

= (12/35)²⁵

The probability of drawing at least one ace when we draw from a standard deck 25 times

= 1 -  (12/35)²⁵ = 0.8648

Indeed, it is conceivable you could wind up drawing a king rather than a queen from those 52 cards as you might attract a queen on the first go.

Hence the probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648.

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The value is the closest estimate of this product is 6,300.

Rules for Rounding Numbers to Nearest 100. Rule 1: While round off to nearest 100, if the digit in the tens place is between 0 to 4 or <5, then the tens place is replaced by 0. Rule 2: If the digit in the unit’s place is equal to 5 or greater than 5, then the tens place is replaced by 0 and the hundreds place is increased by 1.

So 6,265 is between 6,200 and 6,300

Therefore, The value is the closest estimate of this product is 6,300.

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Answer:

I assume you are trying to find the area of it, then it would be 182m.^2

Answer: w=20/3

Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.

Answer:

In the context of the situation, Nicholas started with 825 canned goods and sold (or lost in some way, I'm assuming sold) 63 a day.