the sum of 2 times a number and 4 equals 3
HELP ASAP

Applying the central angle theorem, the measure of arc CDE is: 172°.

According to the central angle theorem, the measure of the central angle equals the measure of its intercepted arc.

Measure of arc CDE = 360 - m∠COE [central angle theorem]

Measure of arc CDE = 360 - (103+50+35)

Measure of arc CDE = 172°

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the sample variance is 57 and the sample standard deviation is approximately 7.55.

To compute the sample variance and standard deviation of the data sample {-6, 7, 7, 7, 15}, we'll follow these steps:

1. Calculate the mean (average) of the data:

  Mean = (-6 + 7 + 7 + 7 + 15) / 5 = 6

2. Calculate the deviation of each data point from the mean:

  Deviation = Data point - Mean

  Deviations: {-12, 1, 1, 1, 9}

3. Square each deviation:

  Squared Deviations: {144, 1, 1, 1, 81}

4. Calculate the sum of squared deviations:

  Sum of Squared Deviations = 144 + 1 + 1 + 1 + 81 = 228

5. Compute the sample variance:

  Variance = Sum of Squared Deviations / (n - 1)

           = 228 / (5 - 1)

           = 57

6. Compute the sample standard deviation:

  Standard Deviation = √Variance

                    = √57

                    ≈ 7.55

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\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

a.) The weights, ω1 + ω2 + ω3 = 1. b.) The weights, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). To estimate the expectation μ, we propose combining three independent and identically distributed random variables Y1, Y2, and Y3 using a weighted average, Y_bar ω = ω1Y1 + ω2Y2 + ω3Y3.

(a) The weights ω1, ω2, and ω3 need to satisfy the condition ω1 + ω2 + ω3 = 1 for Y_bar ω to be an unbiased estimator for μ. The expectation E[Y_bar ω] is calculated as E[Y_bar ω] = ω1E[Y1] + ω2E[Y2] + ω3E[Y3] = ω1μ + ω2μ + ω3μ = (ω1 + ω2 + ω3)μ. For Y_bar ω to be an unbiased estimator for μ, its expectation should equal μ. Therefore, ω1 + ω2 + ω3 = 1.

(b) The variance V[Y_bar ω] can be calculated as V[Y_bar ω] = V[ω1Y1 + ω2Y2 + ω3Y3]. Since Y1, Y2, and Y3 are independent, the variance of their sum is the sum of their variances. Therefore, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). The variance of Y_bar(ω) can be calculated, and by applying the condition from (a), the set of weights that minimize the variance can be determined.

To minimize the variance, we can apply the condition from (a), ω1 + ω2 + ω3 = 1, and use a technique called Lagrange multipliers. By introducing the Lagrange multiplier λ, we form the Lagrangian L = σ²(ω1² + ω2² + ω3²) + λ(ω1 + ω2 + ω3 - 1). Taking partial derivatives with respect to ω1, ω2, ω3, and λ, we can solve the equations to find the set of weights that minimize the variance. The specific values will depend on the given values of σ² and the constraints imposed by the problem.

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The answer option that matches the graph I drew include the following: D. graph D.

In Mathematics, the following rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph:

In this context, we can logically deduce that the most appropriate graph to represent the solution to the given inequality y ≤ - 2x is graph D because the solid boundary lines must be shaded below.

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

Step-by-step explanation:

We know that the coin has 2 sides, which is tails and heads.

the total number of options is 2. whereas if tails or heads, 1 options

For tails:

\((\frac{1}{2}) *n\)

\(\frac{n}{2}\)

For heads:

\((\frac{1}{2} ) * n\)

\(\frac{n}{2}\)

If he does this in a row and expects 1 head and tail:

\(\frac{n}{2} * \frac{n}{2}\)

\(\frac{n^{2} }{4}\)

Answer:

(4,2)

Step-by-step explanation:

..................................

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

Let's solve each question one by one:1. A right triangle has one 40∘ angle and one 90∘ angle. The measure of the third angle is degreesSince the angles of a triangle add up to 180 degrees, the third angle in this triangle is\(:180 - 90 - 40 = 50 degrees.\)

2. Two angles in a triangle are equal and their sum is equal to the third angle in the triangle.

Let x be the measure of each of the equal angles, then the third angle is 2x.

We know that the sum of all the angles is 180 degrees, thus:\(x + x + 2x = 1804x = 180x = 45\)

Therefore, the two equal angles are 45 degrees each, and the third angle is 90 degrees.

3. The triangle has angles of 3 degreesIf the triangle has an angle of 3 degrees, then it is not a triangle since the smallest angle in a triangle is 0 degrees.

4. Find the length of the hypotenuse, cc, for the right triangle with sides, a=3 and b=4

Using the Pythagorean theorem, the length of the hypotenuse is:\(c² = a² + b²c² = 3² + 4²c² = 9 + 16c² = 25c = √25c = 5\)

Using the Pythagorean theorem, the distance from the base of the pole is:\(c² = a² + b²c² = 15² + 8.5²c² = 225 + 72.25c² = 297.25c = √297.25c ≈ 17.24\)

Therefore, the end of the string of lights should be anchored about 17.24 feet away from the base of the pole.

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:

i know that y and z are both 53 degrees

Step-by-step explanation:

Answer:

x and y are both 53 degrees

I am pretty sure z is 106. tell me if it's not because I have two different answers it could be.

Answer:

$35

Step-by-step explanation:

money on clothes is 10%, that means it's $5
you get this by dividing the 50 by 100 to figure out how much 1% is, and then multiply with 10.

money on games is 20%, that means it's $10
again, you figure out how much 1% of 50 is and then multiply by 20 to figure out what 20% is.
50 / 100 = 0.5
0.5 * 20 = 10

So far you spent $5 on clothes, $10 on games, that's $15 in total.
When the rest is spent on books, you need to see how much is left of the $50.
50 - 15 = 35

So you spent $35 on books.

After multiplying the simplified expression is   \(\frac{-x+5}{2x + 6}\) ; x  ≠ -3 , 3 , -2 , -5  , the correct option is (b) .

In the question ,

it is given that ,

the expression is (x²-25)/(2x²+10x+12) × (-x²+x+6)/(x²+2x-15)

we need to find the value of the expression after multiplication .

= (x²-25)/(2x²+10x+12) × (-x²+x+6)/(x²+2x-15)

On splitting the given quadratic equation into factors , we get  

= (x+5)(x-5)/2(x+3)(x+2) × -(x+2)(x-3)/(x-3)(x+5)

= \(\frac{(x+5)(x-5)}{2(x+3)(x+2)}\) × \(\frac{-(x+2)(x-3)}{(x-3)(x+5)}\)

After cancelling out the common factors , we get

= -(x - 5)/2(x + 3)

= -x+5 / 2x + 6

= \(\frac{-x+5}{2x + 6}\)    : x  ≠ -3 , 3 , -2 , -5

Therefore  , After multiplying the simplified expression is   \(\frac{-x+5}{2x + 6}\) ; x  ≠ -3 , 3 , -2 , -5  .

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Answer: 20%

Step-by-step explanation:

Answer:

$424

Step-by-step explanation:

3%=0.03

400X0.03=12

12X2

24(2 YEARS)

400+24=$424

Answer:

Rewrite using the commutative property of multiplication.

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Simplify the denominator.

Tap for more steps...

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Simplify terms.

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Answer:

4 and then 15

Step-by-step explanation:

second one: 6:4

last one: 15:10

Answer:

Correct. 16 when 4x4=16 or just count the inside.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is C just did the quiz

Answer:

its D i got it right on edge if there are any probs just tell me and i ll edit mark me brainleiest and hart and five stars please

Step-by-step explanation:

The number of cubic centimeters of paint that will fit in the cylindrical container is:

66.36 cm³

The volume of a cylinder can be determined by multiplying the area of the base by the height. It may be expressed using the formula:

V = πr²h

where π (pi) is approximately equal to 3.14, r is the radius, and h is the height.

You should also note that the radius of the cylinder is one-half of the diameter.

V = πr²h

Since the cylindrical container of paint has a diameter of 3 cm, its radius would be 1.5 cm. Furthermore, its height is around 7 cm. As a result, by substituting the given values into the formula, we may get the following result:

V = πr²hV = π(1.5)²(7)

V = 66.36 cm³

Therefore, the cylindrical container of paint can hold approximately 66.36 cubic centimeters of paint.

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The area of triangle ABC is given as follows:

18 cm².

The segment AB is the segment that does not has an endpoint at the right angle, hence it is the hypotenuse of the triangle.

Side AC is adjacent to the angle of 75º, hence it's length is given as follows:

cos(75º) = AC/12

AC = 12 x cosine of 75 degrees

AC = 3.1.

Side BC is opposite to the angle of 75º, hence it's length is given as follows:

BC = 12 x sine of 75 degrees

BC = 11.6.

The area of the triangle is given by half the multiplication of the side lengths, as follows:

Area = 0.5 x 11.6 x 3.1

Area = 18 cm².

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An alpha level of 0.01 indicates a stringent criterion for statistical significance. In most cases, it would lead to the rejection of the null hypothesis.

In statistical hypothesis testing, the null hypothesis represents the absence of a relationship or effect. The alpha level, also known as the significance level, determines the threshold for rejecting the null hypothesis. An alpha level of 0.01 implies that the researcher is willing to accept a 1% chance of making a Type I error, which is the rejection of a true null hypothesis.

When conducting hypothesis testing, if the calculated p-value (the probability of observing the data or more extreme results given that the null hypothesis is true) is less than the alpha level, it is considered statistically significant. In the case of an alpha level of 0.01, if the p-value falls below this threshold, the null hypothesis is rejected. This means that the observed results are unlikely to occur by chance alone and provide sufficient evidence to support the alternative hypothesis, which suggests the presence of a relationship or effect.

However, it's important to note that the appropriateness of an alpha level depends on various factors, such as the field of study, sample size, and the potential consequences of Type I and Type II errors. Researchers need to carefully consider the context and interpret the results accordingly.

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A person who does not ignore a sunk cost increases the probability of making irrational decisions. This is because they are more likely to continue investing time, money, or effort into a project or situation that is not yielding positive results.

When we refer to a "sunk cost," we mean a cost that has already been incurred and cannot be recovered. Ignoring a sunk cost means not taking it into consideration when making decisions about the future. By not ignoring a sunk cost, individuals may feel a psychological attachment to their past investment, leading them to continue investing in something that may not be beneficial.

This can result in irrational decision-making and potentially wasting additional resources. For example, imagine a person who has spent a significant amount of money on a gym membership but rarely goes to the gym. Instead of accepting the fact that the money is already spent and may not be recouped.

They may feel compelled to continue paying for the membership in the hopes of eventually utilizing it. This decision is influenced by their failure to ignore the sunk cost and assess the situation rationally.

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Answer:

a)11cm

b)49.5cm²

Step-by-step explanation:

to find the perimeter you use the formula

o/360×2piR

since 2pi R=18pi cm,to find the radius you cancel pi from both sides 2r/2=18/2...so the radius is 9cm

therefore the perimeter will be:

70/360×2×22/7×9

27720/2520

=11cm

then to find the area you say

o/360×pi R²

70/360×22/7×9²

124740/2520

=49.5cm²

I hope this helps

Answer:

CIAE

Step-by-step explanation:

The expression w represent the number of bottles and 20w represents the amount of water in a number of bottles.

An equation is an expression that shows the relationship between two or more numbers and variables.

A twelve-pack of 20-ounce water bottles sells for $4.78. Given that the expression 20w represents the amount of water in a number of bottles, hence:

Since each 12 pack weigh 20 ounces and the expression 20w represents the amount of water in a number of bottles. This means that w is the number of bottles

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