Find the critical value for a 98% confidence interval when the population standard deviation is known and the sample size of n=30 is used ......Round to 3 decimal places

Adding a derivational suffix to a word often changes the part of speech is true.

What is derivational suffix ?

A derivational suffix is a type of affix that is added to the end of a base word to create a new word with a different meaning, often a different part of speech.

For example, adding the derivational suffix "-ness" to the base word "kind" creates the new word "kindness," which is a noun that refers to the quality or state of being kind. Similarly, adding the derivational suffix "-able" to the base word "value" creates the new word "valuable," which is an adjective that describes something that is worth a lot.

Derivational suffixes can change the meaning and function of a word, and they are often used to create new words in English. Some common derivational suffixes include "-er," "-able," "-ness," "-ful," "-ish," and "-ize."

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Complete question is: Adding a derivational suffix to a word often changes the part of speech is true.

Answer:

A multiple of 10 is any number that 10 equals when multiplied. The multiples of 10 are 10 20 30 40 50 60 70 80 90 etc

Step-by-step explanation:

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

m<x = 60

Step-by-step explanation:

This triangle seems to be a 30-60-90 triangle, therefore m<x will be 60 degrees.

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

\(y\ =\ \ \tan\theta\ +2\)

Step-by-step explanation:

Answer:102

Step-by-step explanation:

The interior angles of a triangle have to measure 180 degrees, which is an isosceles triangle, and 39+39=78.

180-78=102.Therefore the  answer is 102

Answer:

I have no idea tbh I need help with this too

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!

Answer:

J=16

Step-by-step explanation:

You have to move all the number to the opposite side of the variable.

j-12=4

j=4+12

j=16

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

\(tan=\frac{opposite}{adjacent}\)

\(tan=\frac{21}{25}\)

\(tan^-^1=40\)

Answer:

4:6

or 4/15 : 2/5

Step-by-step explanation:

Answer:

I am not going to lie but if I rejected someone I'm pretty sure I don't like them

Answer:

Step-by-step explanation:

-7y=42

we have to divide by 7

-y=6

multiply by -1

y=-6

Answer:

y=-6

Step-by-step explanation:

divide by -7 on both sides.

Word Forms

40,000=forty thousand

600=six hundred

8=eight

0.9=zero and nine tenths

100,000=one hundred thousand

70,000=seventy thousand

5,000=five thousand

300=three hundred

80=eighty

0.4=zero and 4 tenths

Figure Forms

40,000=400 squares (hundreds)

600=6 squares (hundreds)

8=8 little squares (ones)

0.9=9 lines (tenths)

100,000=100 squares (hundreds)

70,000=70 squares (hundreds)

5,000=50 squares (hundreds)

300=3 squares (hundreds)

80=8 lines (tens)

0.4=4 lines (tenths)

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

x = -8 and x = 8

Step-by-step explanation:

x^2 - 64 = 0                     Our first step is to factor

(x + 8)(x - 8) = 0          Now use zero product property to help solve for x

x + 8 = 0            x - 8 = 0

x = -8                 x = 8

Hope this helps!

Answer:

mars is 140 times farther than the moon

Step-by-step explanation:

hope this helped :-)

Answer:

416.23

Step-by-step explanation:

A=a2+2aa2

4+h2=102+2·10·102

4+152≈416.22777

Answer:

find the areas of the individual triangles then add those ares

together.

Step-by-step explanation:

A z-score of -2.5 means that a score is located 2.5 standard deviations to the left of the mean.

A z-score is a measure of how many standard deviations a data point is away from the mean of a distribution. It helps in understanding the relative position of a particular value within a dataset. When a z-score is negative, it indicates that the data point is located to the left of the mean.

In the case of a z-score of -2.5, it means that the score is located 2.5 standard deviations to the left of the mean. This implies that the value is significantly lower than the mean. Since the z-score is negative, it indicates that the data point falls below the mean value in the distribution.

In a standard normal distribution, where the mean is 0 and the standard deviation is 1, a z-score of -2.5 indicates that the data point is located 2.5 standard deviations below the mean. This implies that the score is relatively low compared to the average value in the distribution. The negative sign signifies that the data point is to the left, or below, the mean.

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Answer:

1256 yd²

Step-by-step explanation:

\(A=\pi r^2 \approx (3.14)(40/2)^2=1256\) yd²

Answer:

26 blocks

Step-by-step explanation:

 To determine the number of blocks Tommy walked, you will calculate the distances between each of his points (ordered pairs).

Using the distance formula i.e\(\sqrt{(c-a)^2+(d-b)^2}\)

(0,0) to (0,6) is : \(\sqrt{(0-0)^2+(6-0)^2}\) = 6 blocks  

(0,6) to (7,6) is: \(\sqrt{(7-0)^2+(6-6)^2}\)= 7 blocks

(7,6) to (7,0) is: \(\sqrt{(7-7)^2+(0-6)^2}\) = 6 blocks

(7,0) to (0,0) is: \(\sqrt{(0-7)^2+(0-0)^2}\) = 7 blocks, back home

This totals 26 blocks that Tommy walked.

Since there are a total of 15 shirts,

5 red shirts+4 white shirts= 9 shirts total

3 blue shirts+3 purple shirts= 6 shirts total

The odds that you would pick a red shirt and then a white are 3:2

3 being the 9 red and white shirts combined.

2 being the 6 purple and blue shirts combined.

9:6 simplified=3:2

9/3=3

6/3=2

3:2

Answer: The odds that you would pick a red shirt then a white shirt would be 3:2 or 60%

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of an object.

Given the vertex matrix of quadrilateral ABCD as:

\(\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]\)

Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).

Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.

Hence, the vertex matrix of quadrilateral A'B'C'D' is:

\(3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right]\)

Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).

The correct option is figure A

Answer:

x=33

Step-by-step explanation:

add all corners and make it equal to 180

2x-20 + 2x+5 + x = 180

5x -15 = 180

5x = 195

x = 39

Answer:

Step-by-step explanation:

set 1 is the work, then 60 works finish 1/21 per day. \(\frac{1}{21*60}\) is the work for per workers. so, the days for 70 workers is \(\frac{21*60}{70}=18\) days.

it will spend 18 days to complete

Answer:

Step-by-step explanation:

Given the data set of 15 where:

As per given we conclude

a) Possible set is:

b) Add number 20, the set will be:

The mean is different as we have now more numbers with different sum:

The median is different now and moves to the right as 20 added to the far right:

The mode stays same as still most used number is 5:

Answer:

-2yx²

Step-by-step explanation:

6xy/-3x

divide 6xy by -3 to get -2xy

multiply x and x to get x²

-2yx²

hope this helps!

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer: 1) C. 1.75

              2) C. 5.25

Step-by-step explanation:

For this first question, the answer is C. 1 3/4

First, you will need to calculate how many hours the 3/4-hour students studied versus the 1/4-hour students.

3/4 students: 3/4 · 3 = 9/4

1/4 students: 1/4 · 2 = 2/4

9/4 - 2/4 = 7/4 = 1 3/4

Therefore, your answer for the first question is C.

For the second question, the answer is C

We must calculate how many hours each group of students studied, then add them together. You can add or multiply in this situation.

1/4 students: 1/4 · 2 = 2/4 (No need for simplifying until the end.)

1/2 students: 1/2 · 5 = 5/2

3/4 students: 3/4 · 3 = 9/4

Now, let's change the 5/2 so we can add it to the other fractions.

5/2 ·2 = 10/4

Let's add.

2/4 + 10/4 + 9/4 = 21/4

Simplify.

21/4 = 5 1/4.

Therefore, answer choice C is correct.

Hope this helped!