Find the angle between u and v in radians. Round to two decimal places.u = - 7i + 3j - 4k, v = 6i + 9j - 8kA. 1.57B. 1.50C. 0.15D. 1.42

Answer:

the answer to your question is 24 units,

Step-by-step explanation:

it's right on edge 2021

Answer:

24

Step-by-step explanation:

edg 2021

Approximately 25% of the babies will be identified as low birth weight.

1. Determine the number of babies identified as low birth weight.
2. Divide this number by the total number of babies.
3. Multiply the result by 100 to convert it to a percentage.
4. Round the percentage to 4 decimal places.

Let's say there were 50 babies identified as low birth weight out of a total of 200 babies.

1. Number of babies identified as low birth weight: 50
2. Total number of babies: 200
3. Percentage of babies identified as low birth weight: (50 / 200) * 100 = 25%
4. Rounded to 4 decimal places: 25.0000%

Therefore, approximately 25% of the babies will be identified as low birth weight.

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Answer:

Commutative property

Step-by-step explanation:

addition is commutative for example 2+3=3+2

multiplication is also commutative 3*2=2×3

Given that the probability that the closing price of a company's stock tomorrow will be higher than today's close without any prior information is 1/3. The probability approach that this statement is an example of is called a subjective probability. Therefore, the correct option is 3.

Subjective probability is a probability estimation that is dependent on the observer's subjective judgment. Subjective probability is estimated based on the personal feelings, intuition, and hunches of the observer, who may or may not have factual information.

It is subjective because it is subject to one's perception and is frequently based on previous experience or individual judgment in determining the likelihood of an event. The probability derived from subjective probability cannot be considered accurate or reliable because it is influenced by personal emotions or judgment. Hence, the correct answer is option 3.

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Answer:

Step-by-step explanation:

x + 2y = -5

-3x - 6y = -1

3x + 6y = -15

-3x - 6y = -1

0 ≠ -16

no solution

The value of x in the given figure is 31.76.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given triangle, there are two triangles.

Let us find the length of the perpendicular line by using pythagoras theorem.

16² + a² = 22²

256 + a²  = 484

a²  =484-256

a² = 228

a=15.09 = 15

Now let us find the value of x.

Now 44-16= 28

28²+15² = x²

784 + 225 =  x²

1009 = x²

Square root on both sides

x=31.76

Hence, the value of x in the given figure is 31.76.

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Tenemos que resolver un ejercicio algebraico.

Veremos que la opción correcta es B: 47,886

Lo que sabemos es:

21,751 fans pusieron "me gusta"

83,464 pusieron "me encanta"

Asumimos que cada fan puede usar una sola de esas dos cosas.

Entonces el número total de fans es:

21,751 + 83,464 = 105,215

Tambien sabemos que entre los fans, hay 57,329 mujeres.

Entonces el resto serán hombres:

105,215 -  57,329 = 47,886

Podemos concluir que hay 47,886 hombres, por lo que la opción correcta es B.

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The Solution:

Given:

18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6.

Required:

To test the claim that the mean rainfall from seeded clouds exceeds 25 ace-feet.

Step 1:

Find the mean.

Step 2:

Find the standard deviation.

Step 3:

Hypothesis:

From the Z score tables,

Since the p-value is greater than 0.05, we fail to reject the null hypothesis.

Therefore, there is no fact to support the claim that the mean rainfall exceeds 25 acre-feet.

1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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Answer:55.44

\(24 x 2.31 equals 55.44\)

Step-by-step explanation: I have do my work

1. (a) pq - "If it is an eagle, then it is a bird."

(b) qp - "If it is a bird, then it is an eagle."

(c) pa - "It is an eagle and it is a bird."

All statements are true.

2. (a) pq - "If it is a wild animal, then it is a mammal."

(b) a →p - "All animals are wild, then they are mammals."

(c) p > - "All mammals are wild animals."

All statements are not true. Counterexample can be a bird, which is a wild animal but not a mammal.

In task 1, we are given two statements and asked to express them using symbolic logic notation, and then evaluate whether they are true or false. In the first statement, "It is an eagle, it's a bird," we can represent it as "p ∧ q," where p stands for "It is an eagle" and q stands for "It's a bird." All the statements are true as an eagle is a bird.

In the second statement, "All wild animals are mammals," we can represent it as "p → q," where p stands for "It is a wild animal" and q stands for "It is a mammal." The statement is false as there are wild animals that are not mammals, such as snakes, lizards, and birds.

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--The complete question is, Learning Task 1

Do the following:

1. Statement: It is an eagle, it's a bird.

Write the following in words:

(a) pa (b) qp (c) pa

Are all statements true?

If not give a counter example.

2. Statement: All wild animals are mammals.

SON

Write in words:

(a) pq (b) a →p (c) p >

Are all statements true?

If not give a counter example.​--

Answer:

3.47 mm

Step-by-step explanation:

Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

Answer:

31.2

Step-by-step explanation:

Answer:

13.3

Step-by-step explanation:

Answer:

-20 = - 20

Step-by-step explanation:

Suppose the number is x

three less than a number means x - 3 which is equal to 14 more than twice a number means 2x +14.

So we can write

x - 3 = 2x +14 - - - - - A

subtract x from both sides

x - x - 3 = 2x - x +14

-3 = x +14

Subtract 14 from both sides

-3 - 14 = x +14 - 14

-17 = x

Or x = - 17

Now can verify our answer by putting the value of x in Eq A

-17 - 3 = 2 x (-17) +14

-20 = - 34 +14

-20 = - 20

I hope this helps.       :)

Answer:

A(5,6)

D(-2,-2)

E(3,-4)

F(2,-6)

Answer:

Step-by-step explanation:

A=(5,6)

D=(-2,-2)

E=(3,-4)

F=(2,-6)

The area of this hexagon is 374.4 in².

The area of the hexagon is calculated by applying the following formula.

total area of the regular hexagon = 6 x area of one face

Area of one face = ¹/₂bh

where;

Area of one face = ¹/₂ x ( 12 in ) x ( 10.4 in )

Area of one face = 62.4 in²

Total area of the hexagon = ( 6 ) x ( 62.4 in² ) = 374.4 in²

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Answer:

x=5

Step-by-step explanation:

change to x=12-7

subtract

x=5

Answer: 0.47 is equal to 47/100

Step-by-step explanation:

1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred

Answer:

0.47 as a fraction equals 47/100

Step-by-step explanation:

Write 0.47 as  

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

\(\frac{0.47}{1}\) = \(\frac{0.47 x 100 } {1x100}\) = \(\frac{47}{100}\)

So, 0.47 as a fraction  in simpliest form equals 47/100

Answer:

x = 9

Step-by-step explanation:

Answer:

solid boundary line: y = -1/2 x + 4

shaded area: y ≥ -1/2 x + 4   and    y < x+1

Step-by-step explanation:

solid boundary line pass (0,4) (2,3)

slope (m) = (3-4) / (2-0) = -1/2

y intercept (b) = 4

equation: y = mx + b        y = -1/2 x + 4

system: y ≥ -1/2 x + 4

dotted line: (0,1) (2,3)

m = (3-1) / (2-0) = 1

b = 1

equation: y = x + 1

system: y < x+1

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.

======================================================

Rational numbers between -1/7 and 2/7 : -

Make a number line and find the numbers between the two given numbers.

The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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we prove the following step using proof by induction

What is proof by induction?

For each and every natural number n, a statement, theorem, or formula can be proved using the mathematical induction technique. By generalizing this into the "Principle of Mathematical Induction," which we would utilize to demonstrate any mathematical assertion.

We are given a statement 1+3+5+. +(2n-1)=n^2

Now first let us prove the statement for n=1 where n is the number of terms

On the left hand side = 1

And on the right hand side = 1^2 = 1

Hence the statement is proved for n =1

Now let us prove the statement for n= k

Therefore we have 1+3+5+....+k=k^2

Now let us prove the statement for n= k+1

Hence we have

1+3+5+....+k+(k+1)=

k^1+k+1

= (k+1)^2

Hence proved

Therefore we prove the following step using proof by induction

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(a) Null hypothesis: Sick day reports are uniformly distributed across the days of the week.

Alternative hypothesis: Sick day reports are not uniformly distributed across the days of the week.

(b) The expected count for each day of the week is:

Monday: 121.4

Tuesday: 121.4

Wednesday: 121.4

Thursday: 121.4

Friday: 121.4

(c) Our sample size is greater than or equal to 5 for each category.

(d) χ2 = 69.62and the P-value of the test is less than 0.001.

(e) we have evidence to suggest that people are more likely to call in sick on certain days of the week.

(f) The error that is possible to have made is a Type I error. This could happen if the significance level was set too high (i.e. a value greater than 0.05).

(g) We cannot say for sure that people are calling in sick on Friday to take a long weekend without additional evidence.

(a) The null and alternative hypotheses for the test of significance to determine if sick day reports are not uniformly distributed across the days of the week are as follows:

Null hypothesis: Sick day reports are uniformly distributed across the days of the week.

Alternative hypothesis: Sick day reports are not uniformly distributed across the days of the week.

(b) We know that the total sample size is 850.

We can use this to calculate the expected count for each day of the week under the assumption that the null hypothesis is true.

The expected count for each day of the week is:

Monday: (1/7) x 850 = 121.4

Tuesday: (1/7) x 850 = 121.4

Wednesday: (1/7) x 850 = 121.4

Thursday: (1/7) x 850 = 121.4

Friday: (1/7) x 850 = 121.4

(c) The conditions for this test have been met because: We have categorical data.

Our sample is random.

Our sample size is greater than or equal to 5 for each category. (190, 145, 170, 146, and 199 are all greater than 5).

(d) To find the chi-square test statistic and the P-value of the test, we first need to calculate the expected count, observed count, and contribution to chi-square for each category. These are shown in the table below:

Day of the week
Expected count
Observed count
Contribution to chi-square

Monday
121.4
190
16.09

Tuesday
121.4
145
7.56

Wednesday
121.4
170
2.17

Thursday
121.4
146
5.33

Friday
121.4
199
38.47

The formula for calculating the chi-square test statistic is:

χ2=∑(O−E)2/E

=16.09+7.56+2.17+5.33+38.47

=69.62

Using a chi-square distribution table with 4 degrees of freedom (5 categories - 1), we can find the P-value for this test to be less than 0.001.

Therefore, the P-value of the test is less than 0.001.

(e) Since our P-value is less than 0.05, we reject the null hypothesis and conclude that sick day reports are not uniformly distributed across the days of the week.

In other words, we have evidence to suggest that people are more likely to call in sick on certain days of the week.

(f) The error that is possible to have made is a Type I error.

This means that we have rejected the null hypothesis when it is actually true.

In the context of the problem, this means that we have concluded that sick day reports are not uniformly distributed across the days of the week when they actually are.

This could happen if the significance level was set too high (i.e. a value greater than 0.05).

(g) Friday contributes most to the value of the chi-square test statistic.

This provides some credibility to the human resource manager's suspicion that people are more likely to call in sick on Friday.

However, it is important to note that other factors may be contributing to this pattern as well (e.g. higher stress levels at the end of the week, etc.).

Therefore, we cannot say for sure that people are calling in sick on Friday to take a long weekend without additional evidence.

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