One diamond in the safe deposit box is worth 12,000 if each of the other jewels are worth 2,160 how many total jewels are inside the box (including the diamond)

The interest rate on the savings deposit is 10%.

The initial principal amount with Sam in the savings account at the bank is $2000. The time period for which the interest is earned is 10 years. The final amount he received in total was $4000. Let the interest rate be "R".

The interest is the difference between the final and the initial amount. Simple interest is a quick and straightforward way to calculate the interest on a loan. Simple interest is calculated by multiplying the daily interest rate by the principle multiplied by the number of days between payments.

I = A - P

I = $4000-$2000

I = $2000

We will now use the formula for simple interest.

I = (P*R*T)/100

2000 = (2000*R*10)/100

R = 10

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Answer:

x = 11.1

Step-by-step explanation:

Cosine theta = adjacent/hypotenuse

cos 42 = x/15

x = 15 cos 42

x = 11.1

Answer:

3.2z + 5y  - 70

Step-by-step explanation:

The median for the given continuous random variable is m = ±6.65

Let x be a continuous random variable over [a, b] with probability density function f.

Then the median of the x-values is that number m such that integral^ma f(x)dx = 1/2.

Find the median.

Given, f(x) = 1/242x and [0,22].

To find the median, we need to find the number m such that integral^ma f(x)dx = 1/2.

Now, let's calculate the integral,

∫f(x)dx = ∫1/242xdx

= ln|x|/242 + C

Applying the limits,\(∫^m_0 f(x)dx = ∫^0_m f(x)dx\)

∴ln|m|/242 + C

= 1/2 × ∫\(^22_0 f(x)dx\)

= 1/2 × ∫\(^22_0 1/242xdx\)

= 1/2 [ln(22) - ln(0)]/242

Now, we need to find m such that ln|m|/242

= [ln(22) - ln(0)]/484

ln|m| = ln(22) - ln(0.5)

ln|m| = ln(22/0.5)

m = ± √(22/0.5)

[Since the range is given from 0 to 22]

m = ± 6.65

Hence, the median is m = ±6.65

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The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.

This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.

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Answer:

140 simple multipacation

Step-by-step explanation:

\(Hello!\;Your\;answer\;is\;below!\)

5 x 10 + 2 x 10 + 0 x 10 + 7 x 10 = (?)

5 x 10 + 2 x 10 + 0 x 10 + 7 x 10 = 140!

\(Hope \;this\; helps!!\)

#\(Be\;Bold\)

#\(LearnWithBrainlyAlways\)

#\(Always\;Brainly!\)

\(Brazts\)

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

A sufficient but not necessary condition for an undirected graph not to have an Eulerian cycle is if the graph contains more than two vertices with an odd degree.

An Eulerian cycle is a path in a graph that visits each edge exactly once and returns to the starting vertex. For a graph to have an Eulerian cycle, it must satisfy two conditions: (1) all vertices must have even degrees, and (2) the graph must be connected.

However, the condition of having more than two vertices with an odd degree is sufficient to guarantee that a graph does not have an Eulerian cycle. This is because in an undirected graph, every edge contributes an even degree to exactly two vertices. If a graph has more than two vertices with an odd degree, it means there are at least three vertices with an odd degree, and therefore it is not possible to construct a closed path that traverses each edge exactly once.

It is worth noting that having more than two vertices with an odd degree is not a necessary condition for a graph to lack an Eulerian cycle. There are cases where a graph with only two vertices of odd degree can still have an Eulerian cycle, as long as the graph remains connected.

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We cannot say that the two events are independent since the probability of eating pizza and sushi together is not known. If the probability of eating both together is 0, then the events are mutually exclusive, and if the probability is greater than 0, then the events are dependent.

We cannot say that the events of Marco eating sushi and pizza are independent. Two events are independent if the occurrence of one does not affect the probability of the other. However, in this case, if Marco eats sushi for dinner, it reduces the probability that he will eat pizza for dinner since he never eats both together.

Similarly, if Marco eats pizza for dinner, it reduces the probability that he will eat sushi for dinner. Therefore, the events are not independent, and the occurrence of one event affects the probability of the other. In other words, the events are dependent.

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Answer:

40%

Step-by-step explanation:

6/15 is the same as 2/5 which is .40 or 40%

Answer:

40%

Step-by-step explanation:

As per the given data, the required confidence interval is (2.79) or (3.95) and the required sample size is 22.

The table which shows the calculation for mean and sd is attached below the answer ;

Given that :-
The sample mean is  X = ∑x/n = 3.372

Sample standard deviation = √∑(x- X)² /√n-1 = 1.6

and the population standard deviation (σ) = 0.66

(a).

For 95% conifdence interval z-critical value is 1.96. A 95% confidence interval for the mean adhesion is :-

= X ± \(Z_{c}\) • σ/√n
= 3.72 ± 1.96 • 0.66/√5

= 3.72 ± 0.5785

= (3.72 + 0.57) or (3.72 - 0.57)  

= (2.79) or (3.95)

Hence, the required confidence interval is (2.79) or (3.95).

(b).

Here we have, E = 0.55/2 = 0.275

so, the required sample size (n) = \(Z^{2}_{c}\) • σ²/ E²

       (n) = 1.96² • 0.622²/0.275²

       (n) = 22.13

Hence, the required sample size is 22(approx).

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------------- Correct format of the question is given below ------------

(Q). Ishikawa et al. (Journal of Bioscience and Bioengineering, 2012) studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. Suppose that for the bacterial strain Acinetobacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm2. Assume that the population standard deviation is known to be 0.66 dyne-cm2, and the population distribution is normal.

(a) Find a 95% confidence interval for the mean adhesion.

(b) If the scientists want the confidence interval to be no wider than 0.55 dyne-cm2, how many observations should they take? (Note that, the width of the confidence interval is two times the margin error E, so E = 0.55/2).

Step-by-step explanation:

x=4kn+4km

x-4kn=4km

divide both sides by 4k

m=x-n

There are 846720 different values possible for the sum of xyx and yxy.

Let's denote the three digits of xyx as a, b, and c, such that xyx = 100a + 10b + c, and the three digits of yxy as d, e, and f, such that yxy = 100d + 10e + f. Note that x and y are distinct non-zero digits, so a, b, c, d, e, and f are all distinct non-zero digits.

The sum of xyx and yxy is (100a + 10b + c) + (100d + 10e + f), which simplifies to 100(a+d) + 20(b+e) + (c+f).

We want to find how many different values are possible for the sum. Since a, b, c, d, e, and f are all distinct non-zero digits, we can consider each of them separately.

For a given value of a, there are 9 choices for d (since d cannot be equal to a), and once we have chosen d, there are 8 choices for e (since e cannot be equal to either a or d). Similarly, there are 7 choices for f (since f cannot be equal to a, d, or e).

So, for a fixed value of a, the number of possible values of the sum is the number of possible values of (100(a+d) + 20(b+e) + (c+f)), which is simply the number of possible values of (20(b+e) + (c+f)), since 100(a+d) is fixed.

There are 8 choices for b (since b cannot be equal to a), and once we have chosen b, there are 7 choices for c (since c cannot be equal to either a or b). Similarly, there are 6 choices for e (since e cannot be equal to either a, d, or b), and 5 choices for f (since f cannot be equal to either a, d, e, or c).

Therefore, the total number of possible values of the sum is:

9 × 8 × 7 × 8 × 7 × 6 × 5 = 846720

Therefore, there are 846720 different values possible for the sum of xyx and yxy.

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The perimeter (p) can be expressed as: p = s + s + s = 3s.

If "s" represents the measure of one side of the equilateral triangle, then:

The perimeter (p) of an equilateral triangle can be found by adding up the length of all three sides. Since all sides of an equilateral triangle are equal, the perimeter (p) can be expressed as: p = s + s + s = 3s.

Another way to express the perimeter (p) of an equilateral triangle is to use multiplication. Since all three sides are equal, we can simply multiply the length of one side (s) by 3 to get the perimeter (p): p = 3s.

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The linear equation that passes through the points (14, 15) and (20, 24) crosses the y-axis at y = -6.

A general linear equation can be written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

m = (y₂ - y₁)/(x₂ - x₁).

In this case the line passes through (14, 15) and (20, 24) so the slope is:

m = (24 - 15)/(20 - 14) = 9/6 = 3/2

y = (3/2)*x + b

To find the y-intercept we can replace the values of one of the points, like (14, 15)

15 = (3/2)*14 + b

15 = 3*7 + b

15 = 21 + b

15 - 21 = b

-6 = b

The y-intercept is -6.

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Answer:300

Step-by-step explanation:

25 times 12

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = \(\frac{opposite}{sdjacent}\)

Tan 13 = \(\frac{102}{x}\)

x = \(\frac{102}{Tan 13}\)

  = 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = \(\frac{102}{y}\)

y = \(\frac{102}{Tan 22}\)

  = 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

                                                           = 189.3 feet

Let's assume there are x open-ended problems on the test.

The total number of multiple-choice problems would then be 15 - x (since the total number of problems is 15).

The total points for the multiple-choice problems would be 4 * (15 - x).

The total points for the open-ended problems would be 12 * x.

The sum of these points should be equal to the maximum possible points on the test, which is 100:

4 * (15 - x) + 12 * x = 100

Simplifying the equation:

60 - 4x + 12x = 100

Combining like terms:

8x = 40

Dividing both sides by 8:

x = 5

Therefore, there are 5 open-ended problems on the test.

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Answer: 59

Step-by-step explanation: cus im cool like that

Answer:

i did not understant your question

i think u want the definition of relation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. A function is a type of relation.

Step-by-step explanation:

plssssssssssss markkkk meee brainlist

A relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of x for which [y] exists.

Given is the graph of a equation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x, y) is in the relation.

Therefore, a relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

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Answer:

ou want to calculate the interest on $800 at 9% interest per year after 4 year(s).

The formula we'll use for this is the simple interest formula, or:

I=P x r x t

P is the principal amount, $800.00.

r is the interest rate, 9% per year, or in decimal form, 9/100=0.09.

t is the time involved, 4....year(s) time periods.

So, t is 4....year time periods.

To find the simple interest, we multiply 800 × 0.09 × 4 to get that:

The interest is: $288.00

Answer:

cos(θ) = x/1

Since P is in Quadrant III, x must be negative.

We can use the Pythagorean Theorem to find x:

x^2 + (-6/7)^2 = 1

x^2 + 36/49 = 1

x^2 = 1 - 36/49

x^2 = 13/49

x = ±√13/7

Since P is in Quadrant III, x must be negative, so x = -√13/7

cos(θ) = x/1 = -√13/7

Answer:

The answer is -29

Step-by-step explanation:

All you have to do is plug -4 where m is and -8 where n is. Your equation would look like this... 3-(-4)(-8). Then all you have to do is plug it into your calculator and you will get -29.

There would be 20 more of us (620-600). There would have been a day when more than 20 people would have been born.

A counting-based argument is known as a combinatorial argument or combinatorial proof. This line of reasoning has already been used, for instance in the section on Stirling numbers of the second sort.

It is mentioned that 620 persons shared the same month of birth. Assume that there were 30 days in the month to avoid losing generality. We'll demonstrate that through contradiction, assuming there were no more than 20 births on any one day throughout that month.

(Beyond that, we have the outcome.)

Now within Thirty Days, 30 * 20 births made up the total. However, since the population was 621 strong, another 21 persons had to be born on a day within that month. Note that the pigeon-hole principle was used in this instance. As a result, someday x, more than twenty people will be born. Consequently, there are at least 21 people who share a birthday.

The outcome would be the same whether there were 620 people. The discussion we had led to this. Keep in mind that in this scenario, we would have 20 more people (620-600). Therefore, a day when more than 20 people were born would have come.

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The dependent variable in the function g(t) = - t - 10 is g .

In the given function g(t) = - t - 10 , we have t which is the independent variable. It makes up the domain of the function.

The independent variable is the one whose value is mapped by all and any particular t.

And 10 is the constant.

Dependent variables get their name since their values are examined throughout an experiment under the assumption or requirement that they are likewise dependent on the value of the dependent variable pursuant to some regulation .

Independent variables are those that, in relation to anything having to do with the experiment in question, are not considered to be reliant on any other factors.

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Given: A = 43.7°, a = 8.7, and b = 10.3We can find the number of possible triangles by using the Law of Sines, which states that a / sin A = b / sin B = c / sin C, where a, b, and c are the side lengths and A, B, and C are the opposite angles. Let's first use the Law of Sines to find the value of sin B: a / sin A = b / sin B => sin B = b sin A / a.

Substituting the given values, we get: sin B = 10.3 sin 43.7° / 8.7≈ 0.641Now we know the value of sin B. We can use the inverse sine function (sin⁻¹) to find the possible values of angle B: B = sin⁻¹ (0.641)≈ 40.4° or B ≈ 139.6°Note that there are two possible angles for B because sine is a periodic function that repeats every 360°.Now that we know the possible values of angle B, we can use the fact that the sum of the angles of a triangle is 180° to find the possible values of angle C: C = 180° - A - B. For B = 40.4°, we get: C = 180° - 43.7° - 40.4° = 95.9°For B = 139.6°, we get: C = 180° - 43.7° - 139.6° = -2.3°Note that we get a negative value for angle C in the second case, which is not possible because all angles of a triangle must be positive. Therefore, the second case is not valid and we only have one possible triangle. Answer: There is only one possible triangle.

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Answer:

i believe it is

Step-by-step explanation:

a 10.7

Answer: c

Step-by-step explanation:

we can use process of elimination because the side that x is on is bigger than the opposite side so there fore it is c