Do the side lengths 4, 5, and 10 form a triangle? Select the correct answer and
reasoning

Answer:

4(x+y)=20

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

Every straight line's angle measurement is 180 degrees, so if one angle is 77 degrees, the other must be 103 degrees to equal 180. (77+103=180)

Hope this helps!

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The option d is correct for the given problem.

What is test statistic?

A statistic used in statistical hypothesis testing is known as a test statistic. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data-set that reduces the data to one value that can be used to perform the hypothesis test.

Given:

The data from an independent-measures research study produce a sample mean difference of 12 points and an estimated standard error of 4 points.

Test statistics = (x bar - μ) / (σ / √n)

                      = 12 / 4

Test statistics = 3

Here the test statistics is 3.

Hence, the option d is correct for the given problem.

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Complete question:

The data from an independent-measures research study produce a sample mean difference of 12 points and an estimated standard error of 4 points. If there are n = 10 scores in each sample, then the value for the t statistic is ____.​

Select one:

a. 2

b. 4

c. 1.63

d. 3

Solution

The correct option is C

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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Answer:

80 telephones should be sampled

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

89% confidence level

So \(\alpha = 0.11\), z is the value of Z that has a p-value of \(1 - \frac{0.11}{2} = 0.945\), so \(Z = 1.6\).

How many telephones should be sampled and checked in order to estimate the proportion defective to within 9 percentage points with 89% confidence?

n telephones should be sampled, an n is found when M = 0.09. We have no estimate for the proportion, thus we use \(\pi = 0.5\)

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.09 = 1.6\sqrt{\frac{0.5*0.5}{n}}\)

\(0.09\sqrt{n} = 1.6*0.5\)

\(\sqrt{n} = \frac{1.6*0.5}{0.09}\)

\((\sqrt{n})^2 = (\frac{1.6*0.5}{0.09})^2\)

\(n = 79.01\)

Rounding up(as 79 gives a margin of error slightly above the desired value).

80 telephones should be sampled

The value of x will be -7. The expression is solved using the identity.

Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.

Given expression;

\(\rm log_2(\frac{1}{128}) = x\)

The expression is solved using the identity as;

\(\rm log_e1 = x\\\ e^x=1\)

Apply the identity;

\(\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7\)

Hence the value of x will bed -7.

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Using the exponential distribution, it is found that there is a 0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability of finding a value higher than x is:

\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)

In this problem, the mean is of two minutes, hence the decay parameter is given by:

\(\mu = \frac{1}{2} = 0.5\)

The probability that it takes more than 3 minutes for the next call to occur is given by:

\(P(X > 3) = e^{-0.5 \times 3} = 0.2231\)

0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.

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The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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The graph that shows the new position of the rectangle after a translation is; Option C

When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.

Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.

In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Step-by-step explanation:

Let use the following rules to construct a polynomial,

Rule 1:

If r is a zero of some polynomial, f(x), then

\((x - r)\)

is a factor of the polynomial

We first know that one of our zeroes are real, which is 0.

So since r=0

\((x - 0) = x\)

is a factor

However, since the root ,0, has a multiplicty of 4, that basically means we have 0 as a root 4 times or basically we multiply the factor 4 times.

\(x \times x \times x \times x = x {}^{4} \)

This leads to an another rule:

If a polynomial has a zero, r that has a multiplicty of k,

we represent the factor as

\((x - r) {}^{k} \)

where k is all integers greater than 0.

So to reinforce myself, since 0 has a multiplicty of 4, we have

\((x - 0) {}^{4} = {x}^{4} \)

So our first factor is

\( {x}^{4} \)

Part 2: Complex Zeroes.

When dealing with complex zeroes, we must note this rule.

if (a+bi) is a zero of some polynomial, p then its conjugate (a-bi) is a factor as well.

So if 3-2i is a factor, then

3+2i is a factor as well.

Using Rule 1, our factors now become

\((x - (3 + 2i))\)

and

\((x - (3 - 2i))\)

So our factors are

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

To simplify use FOIL Method,

\( {x}^{4} ( {x}^{2} - x(3 + 2i) - x(3 - 2i) + 9 - 4 {i}^{2} )\)

\( {x}^{4} ( {x}^{2} - 6x + 13)\)

\( {x}^{6} - 6 {x}^{5} + 13 {x}^{4} \)

So our polynomial is

\( {x}^{6} - 6 {x}^{5} + 13 {x}^{4} \)

Answer:

7 counselors

Step-by-step explanation: 39 cannot be broken into 6 evenly, so you would either have 3 extra students without a counselor, or half of a counselor walking around, so 7.

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

Answer:

A) 79.08%

B) 5.55%

C)p = 1/3 is more appropriate than p = 0.1

Step-by-step explanation:

This is a binomial probability distribution problem, so we will use the formula;

P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)

We want to Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 = 0.3333 and the probability of observing 4 or more abused women in a sample of 15 if p = 0.10

Thus;

P(X ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + (P(11) + P(12) + P(13) + P(14) + P(15)

A) Thus at p = 0.3333;

P(4) = (15!/(4!(15 - 4)!) × 0.3333^(4) × (1 - 0.3333)^(15-4) = 0.1949

P(5) = (15!/(5!(15 - 5)!) × 0.3333^(5) × (1 - 0.3333)^(15-5) = 0.2143

Using online binomial probability calculator we can get the remaining values which are;

P(6) = 0.1786

P(7) = 0.1148

P(8) = 0.0574

P(9) = 0.0223

P(10) = 0.0067

P(11) = 0.0015

P(12) = 0.0003

P(13) = 0.0000

P(14) = 0.0000

P(15) = 0.0000

Thus;

P(X ≥ 4) = 0.1949 + 0.2143 + 0.1786 + 0.1148 + 0.0574 + 0.0223 + 0.0067 + 0.0015 + 0.0003 + 0 + 0 + 0 = 0.7908 = 79.08%

B) Now,for p = 0.1 and Using online binomial probability calculator, we have;

P(4) = 0.0428

P(5) = 0.0105

P(6) = 0.0019

P(7) = 0.0003

P(8) = 0.0000

P(9) = 0.0000

P(10) = 0.0000

P(11) = 0.0000

P(12) = 0.0000

P(13) = 0.0000

P(14) = 0.0000

P(15) = 0.0000

P(X ≥ 4) = 0.0428 + 0.0105 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0555 = 5.55%

C) Comparing both Probabilities, 79.08% is far higher than 5.55%. Thus we can say that p = 1/3 is more appropriate than p = 0.1

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.

A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"

In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.

Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:

x + (x+4) * 3 = 84

Expanding and solving for x:

x + 3x + 12 = 84

4x = 72

x = 18

So the three consecutive even integers are 18, 20, and 22.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Answer 12

Step-by-step explanation:

A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has identical packaging, the selection will be random. What is the probability that (a) all four units are good, (b) exactly two units are good, and (c) at least two units are good?

 I hope that helped?

Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer:

hope this helps...........

Answer:

China

Step-by-step explanation:

China is still by far the biggest exporter of seafood, followed by Norway (see Figure 1). Both countries have added more than USD 2bn to their seafood exports in the last five years (2012 to 2017).

Answer:

china!

Step-by-step explanation:

Answer:

1. z=4

2. z=2/3

3. x=1

4. x=3

Step-by-step explanation:

I can't explain just trust me I went through algebra class.

Hope this helps

6z+3=8z-5

6z+3-3=8z-5-3

6z-8z=8z-8z-8

-2z/-2=-8/-2

z=4

3-4z=-5+8z

subtract three from both sides

-4z-8z=-8+8z-8z

-12z/-12=-8/-12

z=2/3

3x-5=x-3

add 5 to both sides

3x-x=x-x+2

2x/2=2/2

x=1

3x+14=11+4x

subtract 14 from both sides

3x-4x=-3+4x-4x

-x/-1=-3/-1

x=3

Answer:

1. z=42. z=2/33. x=14. x=3Step-by-step explanation:I can't explain just trust me I went through algebra class.Hope this helps6z+3=8z-56z+3-3=8z-5-36z-8z=8z-8z-8-2z/-2=-8/-2z=43-4z=-5+8zsubtract three from both sides-4z-8z=-8+8z-8z-12z/-12=-8/-12z=2/33x-5=x-3add 5 to both sides3x-x=x-x+22x/2=2/2x=13x+14=11+4xsubtract 14 from both sides3x-4x=-3+4x-4x-x/-1=-3/-1x=3

Step-by-step explanation:

Answer:

5a+1 1/2=4

a = 1/2

Step-by-step explanation:

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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