Write a numerical expression for the verbal expression. the sum of six and fifteen divided by the difference of thirteen and nine

If a researcher conducted a 2-tailed, non-directional test with an alpha level of .04, then the corresponding critical value Z-score(s) for a 2-tailed, non-directional test with an alpha level of 0.04 would be -2.06 and 2.06, respectively.

Explanation:

To find the critical value z-scores for a 2-tailed, non-directional test with an alpha level of 0.04, you can follow these steps:

Step 1. Divide the alpha level by 2, since it's a 2-tailed test: 0.04 / 2 = 0.02.

Next, we can use a standard normal distribution table or a Z-score calculator to find the Z-score(s) that correspond to an area of 0.02 in the tail(s) of the standard normal distribution.

For a 2-tailed test, we need to find two critical values, one for each tail. Since the standard normal distribution is symmetric, the critical values will be the same in magnitude but opposite in sign. So, we need to find the Z-score that corresponds to an area of 0.02 in the lower tail and the Z-score that corresponds to an area of 0.02 in the upper tail.

Step 2. Use a z-score table or online calculator to find the z-score corresponding to an area of 0.98 (1 - 0.02) in the standard normal distribution.

Therefore, the corresponding critical value Z-score(s) for a 2-tailed, non-directional test with an alpha level of 0.04 would be -2.06 and 2.06, respectively.

The correct answer is:
a. +2.06 and -2.06

These z-scores represent the critical values, with 2% of the area in each tail of the distribution.

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To find the initial and final values of the function f(t), we can evaluate the limits of the function as t approaches negative infinity and positive infinity, respectively.

As t approaches negative infinity, the function f(t) approaches the initial value. We can calculate this by taking the limit of the function as t approaches negative infinity.

lim(t→-∞) f(t) = lim(t→-∞) [s+625/s(s+35)(s+80)]

As t approaches negative infinity, the value of s in the function tends to negative infinity as well. Evaluating the limit, we get:

lim(t→-∞) f(t) = (-∞ + 625)/(-∞ * (-∞ + 35) * (-∞ + 80))

The limit of the function as t approaches negative infinity is zero.

On the other hand, the final value of the function f(t) can be found by taking the limit as t approaches positive infinity:

lim(t→∞) f(t) = lim(t→∞) [s+625/s(s+35)(s+80)]

As t approaches positive infinity, the value of s in the function also tends to positive infinity. Evaluating the limit, we get:

lim(t→∞) f(t) = (∞ + 625)/(∞ * (∞ + 35) * (∞ + 80))

The limit of the function as t approaches positive infinity is zero.

Therefore, the initial value of f(t) is 0, and the final value of f(t) is also 0.

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Answer:

Angle W = 15º

Step-by-step explanation:

Angle H ≅ Angle F because Line HI and Line FI are congruent, so Angle F is 75º.

Angle FIG ≅ Angle HIG

180-75-75=30

30÷2=15

Answer:

The semi-circles form an entire circle with a diameter of 74.

The radius is 37

The area of the rectangle is 95 x 74 = 7030

The area of the circle is 3.142 x 37*37 = 4298.66

The total area is 11328.66

Answer:

Below

Step-by-step explanation:

How many ounces of fish are needed to provide 60 gm of protein?

20 gm / 3 oz  * 9 oz = 60 gm

1.6256 Meters in 5 foot 4 inches

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There are 1.6256 Meters in 5 foot 4 inches

As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.

Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.

This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.

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Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

the largest positive integer n\(\leq\)112 for which there is a unique integer k

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

Given inequality is

\(\frac{15}{8} < \frac{n+k}{k} < \frac{13}{7}\)

\(\frac{8}{15} < \frac{n}{n+k} < \frac{7}{13}\)

\(n\frac{6}{7} < k < n\frac{7}{8}\)

\(n\frac{7}{8}-n\frac{6}{7}\) > 2

n\(\leq\)112

Hence, the largest positive integer n\(\leq\)112 for which there is a unique integer k

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9514 1404 393

Answer:

  126°

Step-by-step explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

  (5x -6) +(3x) = 90

  8x = 96 . . . . . . . . . . . add 6, collect terms

  x = 12 . . . . . . . . . . . . . divide by 8

  3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

  exterior angle = 90° +36°

  exterior angle = 126°

__

The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

The p-value of this new study is 0.055

Given that,

Assume that a second study of millennials was conducted with the same sample size, 99% confidence level, and methodology.

The probability that the sample proportion is greater than the crucial value is known as the p-value. In other words, the probability that the null hypothesis would be rejected is the p-value. Assume that the real ratio in our situation is 0.69. If so, there is a 0.05 percent chance that the sample percentage is higher than or equal to the observed proportion.

The correct response is therefore If the true proportion was 0.69, he would obtain a sample proportion with a probability of 0.055 that was at least as large as what he observed.

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a) To show that inf(A) and Bd(A) are disjoint and their union is the closure of A, we need to prove two things:

1. inf(A) and Bd(A) are disjoint: Suppose there exists an element x that belongs to both inf(A) and Bd(A). Then, x belongs to A and its closure, Abar, and it also belongs to the boundary of A, Bd(A). This means that x is a limit point of both A and its complement, X-A, which implies that x belongs to the closure of both A and X-A. But since A is a subset of X, we have X-A ⊆ X-A ∪ A = X, and therefore x belongs to the closure of X, which is X itself. This contradicts the assumption that x belongs to A, which is a proper subset of X. Hence, inf(A) and Bd(A) are disjoint.

2. The union of inf(A) and Bd(A) is the closure of A: Let x be a limit point of A. Then, by definition, every open set U containing x must intersect A in a non-empty set. Now, consider two cases:

- If x is not a boundary point of A, then there exists an open set U such that U ∩ A is either empty or equal to A itself. Since x is a limit point of A, we know that U must intersect A in a non-empty set, and hence U ∩ A ≠ ∅. Therefore, U ∩ A = A, which implies that x ∈ A and hence x ∈ inf(A).

- If x is a boundary point of A, then every open set U containing x must intersect both A and X-A in non-empty sets. Hence, U ∩ A ≠ ∅ and U ∩ X-A ≠ ∅. This means that x belongs to both Abar and (X-A)bar, the closures of A and X-A respectively. Therefore, x belongs to the boundary of A, Bd(A).

Since every limit point of A belongs to either inf(A) or Bd(A), we have inf(A) ∪ Bd(A) = Abar, the closure of A.

b) Now, we will show that Bd(A) is empty if and only if A is both open and closed.

First, suppose that Bd(A) is empty. This means that every point in A is an interior point or an exterior point of A, but not a boundary point. Since every point in A is either an interior or exterior point, we can conclude that A is both open and closed.

Conversely, suppose that A is both open and closed. Then, by definition, every boundary point of A must be a limit point of both A and its complement, X-A. But since A is closed, its complement, X-A, is open. Therefore, if a point x is a limit point of X-A, then there exists an open set U containing x that is entirely contained in X-A. This implies that U ∩ A = ∅, and hence x cannot be a boundary point of A. Therefore, Bd(A) must be empty.

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8.27 is the normally distributed value of the shelf life which falls under 16% of the battery shelf life.

Because the shelf life of a battery manufactured by one big business is known to be regularly distributed, we would use the normal distribution formula, which is stated as

z = (x - µ) ÷ σ

Where

x = shelf life of a battery in years.

µ = mean shell life

σ = standard deviation

Based on the facts provided,

µ = 8 years

σ = 0.3 years

The z score corresponds to a p-value of 16% in the normal distribution table,

(16 ÷ 100 = 0.16) is - 0.9.

Therefore,

- 0.9 = (x - 9) ÷ 0.3

0.3 × (- 0.9) = x - 8

0.27 = x - 8

x = 0.27 + 8

x = 8.27

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Answer:

$1316

Step-by-step explanation: You would multiply 18,800 by 0.07  and Your would get $1316

Answer:

C on edg

Step-by-step explanation:

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

2, 9 , 16 , 23 , 30 ......

Step-by-step explanation:

\(a_n = 7n - 5\)

       \(a_1 = 7*1 - 5 = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30\)

Answer:

20

Step-by-step explanation:

6(a)+4(a).

6(2)+4(2)=12+8=20

final answer is 20

Answer: x = 25/6

Step-by-step explanation: yes

Answer: x=25/6

Step-by-step explanation:

combine multiplied terms into 1 fraction

5/2*+1/2x=9+7/2

5x/2+1/2x=9+7/2

combine

5x/2+1/2x=9+7/2

5x/2+1x/2=9+7/2

multiply by 1

5x/2+1x/2=9+7/2

5x/2+x/2=9+7/2

Kelly should write "Three hundred nine and 55/100 dollars" on the line that ends in "Dollars".

Cost is the monetary value associated with the purchase or production of goods or services. It can include the price of materials, wages, overhead and other expenses that are related to the production of the goods or services. Cost is a major factor when deciding whether to purchase or produce something as it is an indicator of the value of the product or service.

She should spell out the amount in words, rather than using numerals. Additionally, Kelly should be sure to double check the amount to ensure it is accurate before signing the check.

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To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer:

C. 6

May the 4th be with you :)

Answer:

x = 6

4(8-6)=8

4(2)=8

8=8

Answer:

-382

Step-by-step explanation:

\(5^{2}\) + 4 - 3(137)  Exponents first

25 + 4 - 3(137)  Multiplication

25 + 4 - 411  Add

29 - 411  Subtract the absolute values and that the sign of the larger absolute value.

- 382

Helping in the name of Jesus.

Answer:

C) 3: 9

Step-by-step explanation:

27: 81

Ratios are same as fractions, that is why 27:81 = 27 / 81

Now that we go this fraction, let's make it an equivalent fraction:

(27 / 9) / (81/9)

=> 3/9

=> 3 : 9

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The definition of vector space that fails is part A and B  because it does not satisfy the any property of vector space.

The following statement can be determined if at-least one part of vector space definition that fails as:

(a) A is not a vector space because it does not contain the zero vector.

The zero vector is the unique vector that satisfies the property that when it is added to any other vector in the space, the result is the original vector.

However, in this case, the [a1, b1] + [a2, b2] = [a1 - a2, b1 - b2] is 0x² + 1, which is not an element of A. Therefore, A fails to satisfy the requirement of having a zero vector, and it is not a vector space.

(b) B is not a vector space because it does not satisfy the distributive property of scalar multiplication over vector addition.

In general, scalar multiplication must distribute over vector addition, meaning that for any scalar a and any vectors u and v in the space, a(u+v) = au + av.

However, in B, the scalar multiplication is defined as usual for R², but the vector addition is defined differently. In particular,[a1, b1] + [a2, b2] = [a1 - a2, b1 - b2].

The vector space definition fails because the vector addition is not associative, and it is also not commutative, which are the first two conditions for vector spaces. Therefore, the first and second conditions of the definition are not met.

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Answer:

The two numbers are 40 and 3

Step-by-step explanation:

Assume that the first number is x and the second number is y

∵ Four tenths = \(\frac{4}{10}\) = 0.4

∵ One tenth = \(\frac{1}{10}\) = 0.1

∵ Four tenths of 1st number increased by the 2nd number equals 19

∵ The 1st number = x and the 2nd number = y

∴ 0.4x + y = 19 ⇒ (1)

∵ One tenth of the 1st number decreased by the 2nd number is equal to 1

∴ 0.1x - y = 1 ⇒ (2)

Now we have a system of equations to solve it

→ Add equations (1) and (2) to eliminate y

∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)

∴ 0.5x + 0 = 20

∴ 0.5x = 20

→ Divide both sides by 0.5 to find x

∵ \(\frac{0.5x}{0.5}\) = \(\frac{20}{0.5}\)

∴ x = 40

→ Substitute the value of x in equation (1) or (2) to find y

∵ 0.4(40) + y = 19

∴ 16 + y = 19

→ Subtract 16 from both sides

∴ 16 - 16 + y = 19 - 16

∴ y = 3

∴ The two numbers are 40 and 3

To find the curvature of the curve defined by the vector function r(t) = < t^2, ln(t), t ln(t) > at a given point, we need to calculate the curvature using the formula:

κ = |dT/ds| / ||dT/ds||,

where dT/ds is the unit tangent vector and ||dT/ds|| is its magnitude.

Let's proceed with the calculations:

Step 1: Find the first derivative of r(t) to get the tangent vector T(t):

r'(t) = < 2t, 1/t, ln(t) + t/t > = < 2t, 1/t, ln(t) + 1 >.

Step 2: Calculate the magnitude of the tangent vector:

||r'(t)|| = sqrt((2t)^2 + (1/t)^2 + (ln(t) + 1)^2)

         = sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1).

Step 3: Differentiate r'(t) to find the second derivative:

r''(t) = < 2, -1/t^2, 1/t + 2/t > = < 2, -1/t^2, (t + 2)/t >.

Step 4: Calculate the magnitude of the second derivative:

||r''(t)|| = sqrt(2^2 + (-1/t^2)^2 + ((t + 2)/t)^2)

          = sqrt(4 + 1/t^4 + (t^2 + 4t + 4)/t^2)

          = sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2).

Step 5: Calculate the curvature:

κ = |dT/ds| / ||dT/ds||

  = (||r'(t)|| / ||r''(t)||^3)

  = ((sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1)) / (sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2))^3).

To find the curvature at a specific point, substitute the value of t into the expression for κ.

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Answer: the statement is false

Step-by-step explanation:

Answer:

Step-by-step explanation:

cool? i,dk if this is a question lol