there are five nickels and seven dimes in your pocket. four of the nickels and six of the dines are canadian. the others are US currency. you randomly select a coin from your pocket. what is the probability it is a nickel or it is Canadian currency?

AND ITS SUPPOSED TO BE A FRACTION​

Answer:

Angle one = 78°

Angle two = 102°

Step-by-step explanation:

180° - 24° = 156°

156° / 2 = 78°

78°+24° = 102°

The second angle can also be found by subtracting 78° from 180°

180° - 78° = 102°

Answer:

  19 units

Step-by-step explanation:

A regular polygon has equal-length sides. This fact can be used to solve for the value of x, and for the side length. Knowing the side length, we can find the perimeter.

__

 5 -2x = 4x +9 . . . . . marked sides are the same length

  -4 = 6x . . . . . add 2x -9

  -2/3 = x . . . . . divide by 6

  5 -2(-2/3) = 5 +4/3 = 6 1/3 . . . . length of one side

The perimeter is the sum of the side lengths, or 3 times the length of one side.

  P = 3s = 3(6 1/3)

  P = 19 . . . . units

The perimeter of the polygon is 19 units.

Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

Yes, the statement integral^b _a f(x) dx = integral^c _a f(x) dx + integral^b _c f(x) dx is true. Let's understand the steps to verify this statement using the Fundamental Theorem of Calculus.

Step 1: Rewrite the left side using the Fundamental Theorem of Calculus.
integral^b _a f(x) dx = F(b) - F(a)

Step 2: Rewrite the right side using the Fundamental Theorem of Calculus.
integral^c _a f(x) dx + integral^b _c f(x) dx = [F(c) - F(a)] + [F(b) - F(c)]

Step 3: Simplify the right side of the equation.
[F(c) - F(a)] + [F(b) - F(c)] = F(b) - F(a)

Since the left side and the right side are equal (F(b) - F(a)), we can conclude that integral^b _a f(x) dx = integral^c _a f(x) dx + integral^b _c f(x) dx is true.

Therefore, using the Fundamental Theorem of Calculus, the given statement was proves to be true.

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Answer:

104 square inches .............

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line parallel to the equation above we must first find the slope of the above equation

y = - 74x - 2

Comparing with the above formula

Slope = - 74

Since the lines are parallel their slope are also the same

Slope of parallel line = - 74

Equation of the line using point (4 , -2) and slope - 74 is

y + 2 = 74( x - 4)

y + 2 = 74x - 296

y = 74x - 296 - 2

We have the final answer as

Hope this helps you

Answer:

y= -7/4x+5

Step-by-step explanation:

I got it correct on founders edtell

Answer:

\(y=-50x^2+300x+2000\).

Step-by-step explanation:

It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.  

\(Revenue=10\times 200=2000\)

If he reduces the price by $1,then he sells 50 more candle sets each week.

\(Revenue=(10-1)\times (200+50)=9\times 250=2250\)

If he reduces the price by x $1,then he sells 50x more candle sets each week.

\(R(x)=(10-x)\times (200+50x)\)

\(R(x)=10(200+50x)-x(200+50x)\)

\(R(x)=2000+500x-200x-50x^2\)

\(R(x)=-50x^2+300x+2000\)

It can be written as

\(y=-50x^2+300x+2000\)

Therefore, the situation can be modeled by the equation \(y=-50x^2+300x+2000\).

Answer:

This situation can be modeled by the equation y = -50 x2 + 300x +  2,000 and by graph Y.

Step-by-step explanation:

Your welcum

The given situation regarding vision best illustrates the impact of a) selective attention.

This phenomenon best illustrates selective attention, which is the process of focusing on certain aspects of the environment while ignoring others. In this case, the person was not aware of their own nose in their line of vision until it was pointed out to them, indicating that they were selectively attending to other aspects of their environment. This phenomenon is an example of how attention can shape perception and awareness.

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The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

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Answer:

x=3.00 or x= 8.00

Explanation:

Let us denote side of the cut-out square as x inches

Then base of box = 16-2x by 6-2x

The volume = V = (16-2x)(6-2x)

= 96-3x-12x+4x

dV/dx = 96-44x+4x^2

= 0 for a max V

divide by 4

X^2 -11x +24=0

Using quadratic formula to solve the equation

X= (11± √11^2-(4×1×24)/2

(11± √25)/2

x= 3 or 8inches

From the equation of volume = V = x(16-2x)(6-2x)

Substitute

let x = 3 , V = 3(16-6)(6-6) = 0

let x = 8 , V = 8(16-16)(6-16) = 0

Therefore, the maximum volume exist at both point x=3 or x= 8

Answer:

41.8

Step-by-step explanation:

Given matrices are,i) [2, 0], [5, -1]ii) [22, 4], [5, -1]iii) [1, 2], [0, -4]iv) [0, 2], [-4, 1]Now, to compute the exponentials of these matrices, we can use the following formulae:

For any matrix A, we can define its exponential e^A as the following power series:e^A = I + A + (A^2 / 2!) + (A^3 / 3!) + ... (1)where I is the identity matrix, and ! denotes the factorial of a number.

To evaluate the right-hand side of this formula, we need to calculate the matrix powers A^n for all n.

We can use the following recursive definition for this purpose:A^0 = I (2)A^n = A * A^(n-1) (n > 0) (3)

Using these formulae, we can compute the exponentials of the given matrices as follows:i) [2, 0], [5, -1]

First, we calculate the powers of A: A^2 = [4, 0], [10, -3] A^3 = [8, 0], [23, -11]

Next, we substitute these powers into equation (1) to get:e^A = I + A + (A^2 / 2!) + (A^3 / 3!) + ... = [3.1945, 1.4794], [4.8971, 2.8062]

ii) [22, 4], [5, -1]

First, we calculate the powers of A: A^2 = [484, 88], [110, 21] A^3 = [10648, 2048], [2420, 461]

Next, we substitute these powers into equation (1) to get:e^A = I + A + (A^2 / 2!) + (A^3 / 3!) + ... = [5300.7458, 1075.9062], [1198.7273, 242.9790]

iii) [1, 2], [0, -4] First, we calculate the powers of A: A^2 = [1, -6], [0, 16] A^3 = [1, -22], [0, -64]

Next, we substitute these powers into equation (1) to get: e^A = I + A + (A^2 / 2!) + (A^3 / 3!) + ... = [1.8701, 5.4937], [0, 0.6065]

iv) [0, 2], [-4, 1]

First, we calculate the powers of A: A^2 = [-8, 2], [-16, -6] A^3 = [28, -8], [64, 24]

Next, we substitute these powers into equation (1) to get: e^A = I + A + (A^2 / 2!) + (A^3 / 3!) + ... = [1.0806, 0.7568], [-0.7568, 1.0806].

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The rule can be described as The number of black triangles in each stage is the number of triangles in the previous stage multiplied by 2.

This can be interpreted as follows:

In each stage, the number of black triangles is determined by the number of triangles that were present in the previous stage. This suggests that the sequence may be formed by repeatedly adding a certain number of triangles to the previous stage, with the number of added triangles equal to the number of triangles present in that stage.

Therefore, the rule can be described as The number of black triangles in each stage is the number of triangles in the previous stage multiplied by 2.

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Answer: 3 times

Step-by-step explanation:

edge 2023

c₂ = 4.So, the function that satisfies the conditions y″ - 9y = 0, y(0) = 4, and lim t → -∞ y(t) = 0 is given by:

y(t) = 4e⁻³t.

Given that y₁(t) = e³t and y₂(t) = e⁻³t are solutions to the differential equation y″ - 9y = 0, the function y(t) that satisfies the conditions y″ - 9y = 0, y(0) = 4, and

lim t → -∞ y(t) = 0 isy(t) = c₁e³t + c₂e⁻³t

We know that y₁(t) = e³t and y₂(t) = e⁻³t satisfy the differential equation y″ - 9y = 0.

Differentiating y₁(t) twice we get:

y₁(t) = e³t , y₁′(t) = 3e³t, and y₁″(t) = 9e³t

Differentiating y₂(t) twice we get: y₂(t) = e⁻³t , y₂′(t) = -3e⁻³t, and y₂″(t) = 9e⁻³t

Therefore, we can say that y(t) = c₁e³t + c₂e⁻³t is the general solution to the given differential equation.

The general solution satisfies the homogeneous differential equation, but it does not satisfy the initial conditions. To satisfy these initial conditions we have to find the values of c₁ and c₂.

To satisfy the initial condition y(0) = 4, we use the following:

y(t) = c₁e³t + c₂e⁻³t

⇒ y(0) = c₁e³(0) + c₂e⁻³(0) = 4

⇒ c₁ + c₂ = 4

Also, we have to calculate the value of c₂ using the limit.

lim t → -∞ y(t) = 0

implies:

c₁e³t + c₂e⁻³t → 0 as

t → -∞Since e³t

→ ∞ and e⁻³t

→ 0 as t

→ -∞, this means that c₁ = 0.

So we can write y(t) as: y(t) = c₂e⁻³t, where c₂ is a constant.

Using y(0) = 4, we get 4 = c₂e⁰ = c₂.

Therefore, c₂ = 4.So, the function that satisfies the conditions y″ - 9y = 0, y(0) = 4, and lim t → -∞ y(t) = 0 is given by:

y(t) = 4e⁻³t.

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Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Answer:

sdfgfgav

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

Answer:

6.75 miles

Step-by-step explanation:

Speed = Distance / Time

27 miles / 2 = 13.5 m/h

Distance = Speed * Time

13.5 m/h * 0.5 hours = 6.75 miles

Answer:5

Step-by-step explanation:

To determine if the water is unsafe based on the given data, we can conduct a hypothesis test using the sample mean and the provided information.

Null Hypothesis (H₀): The mean PCB concentration in the water is equal to or less than 5 ppm.

Alternative Hypothesis (H₁): The mean PCB concentration in the water is greater than 5 ppm.

We will use a one-sample t-test to assess the evidence.

Test statistic and p-value calculation:

The test statistic for a one-sample t-test is calculated as:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

Sample mean (x) = 5.2 ppm

Hypothesized mean (μ₀) = 5 ppm

Sample standard deviation (s) = 0.6 ppm

Sample size (n) = 36

t = (5.2 - 5) / (0.6 / sqrt(36))

  = 0.2 / (0.6 / 6)

  = 0.2 / 0.1

  = 2

To find the p-value associated with this test statistic, we need to consult the t-distribution table or use statistical software. Assuming a one-tailed test (since we're testing if the mean is greater than 5 ppm), the p-value is the probability of observing a t-value greater than or equal to 2.

With the calculated test statistic of t = 2 and the associated p-value, we can compare the p-value to a significance level (α) to make a decision. Common significance levels include 0.05 or 0.01.

Suppose we choose a significance level of α = 0.05. If the p-value is less than 0.05, we reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to 0.05, we fail to reject the null hypothesis.

Since the p-value was not provided, please consult a t-distribution table or use statistical software to determine the exact p-value for t = 2. Once you have the p-value, compare it to the chosen significance level (e.g., α = 0.05) to draw a conclusion about whether the data substantiates that the water is unsafe.

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Answer:

Interval notation of x<3 is (-∞,3)

Interval notation of x>=5 is [5,+∞)

Step-by-step explanation:

x<3

Since you did not enter an equal sign, this translates to ) since we will not be including the number 3

Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

(-∞,3)

----------------------

x>=5

Because you entered an equal sign, this translates to [ since we include the number 5.

Based on the ≥ you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞

[5,+∞)

With the given pay increase Daniel will earn a total of $185,141.90 in 4 years .

To find out how much Daniel will earn in 4 years with a starting salary of $42,000 and a 6.5% pay increase every year, follow these steps:

1. Calculate the annual salary for each year by applying the percentage increase.
2. Sum up the salaries for all 4 years.

Step 1: Calculate the annual salary for each year
Year 1: $42,000
Year 2: $42,000 * (1 + 6.5%) = $42,000 * 1.065 = $44,730
Year 3: $44,730 * (1 + 6.5%) = $44,730 * 1.065 = $47,656.95
Year 4: $47,656.95 * (1 + 6.5%) = $47,656.95 * 1.065 = $50,754.95

Step 2: Sum up the salaries for all 4 years
Total earnings = $42,000 + $44,730 + $47,656.95 + $50,754.95 = $185,141.90

Daniel will earn a total of $185,141.90 in 4 years with the given pay increase.

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\(\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}\)

Here , the given data is :

We can calculate Simple Interest using ,

\(\boxed{\purple{\bf Simple\: Interest=\dfrac{P\times\:R\:\times\:T}{100}}}\)

On substituting the respective values ,

⇒ SI = P × R × T / 100.

⇒ SI = Rs 4400 × 8 × 3 / 100 .

⇒ SI = Rs 44 × 8 × 3 .

⇒ SI = Rs 1,056 .

Hence the required Interest is Rs 1,056.

Answer:

812.04

Step-by-step explanation:

Answer:

812whdbniyqwteyw9q08uehb

Step-by-step explanation:

idkfu

Answer:

124

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180:

m<R + m<S + m<T = 180

11x + 3 + x + 15 + 2x + 8 = 180 add like terms

14x + 26 = 180 subtract 26 from both sides

14x = 154 divide both sides by 14

x = 11 to find m<R replace x with 11

11*11 + 3 = 124

Apply angle sum property

\(\\ \rm\rightarrowtail 11x+3+x+15+2x+8=180\)

\(\\ \rm\rightarrowtail 14x+26=180\)

\(\\ \rm\rightarrowtail 14x=154\)

\(\\ \rm\rightarrowtail x=11\)

Answer:

the third chouce

Step-by-step explanation: