One number is 6 less than five times another. Their difference is 22. Find the numbers.

Zina has 17,500 points in the video game after one week.

To find the percentage increase in points, we can use the formula:

Final value = Initial points + Initial points X (Percentage increase/100)

Initial points earned by Zina = 14000

Percentage increase = 25%

Therefore putting the values mentioned above in the formula we get:

14000 + 14000 x (25/100)

=14000+ 3500

=17,500

Therefore, Zina has 17500 points in the video game after 1 week.

Her points increased by 3500 in one week

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Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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Answer:

40 + 6x = 3

Step-by-step explanation:

Multiple all the way through by 8

8( 5 + \(\frac{3}{4}\) x) = (\(\frac{3}{8}\))8

8(5) + \(\frac{8}{1}\)\((\frac{3}{4})\)x = \(\frac{3}{8}\)\((\frac{8}{1})\)

40 + 6x = 3

Answer: 3128 students

Step-by-step explanation:

Total no of students in the school : 3200

No of sophomores in favor of the school forming a crew team : 38

No of the remaining students in favor of forming a crew team : 34

Total students in favor of forming a crew team = 38+34= 72

No of students against it : Total students - Students in favor

                                          = 3200-72 = 3128 students

B) The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The alpha value of the reliability coefficient, also known as Cronbach's alpha, measures the internal consistency of a questionnaire. It indicates how well the items on the questionnaire are related to each other and form a consistent measure of the concept being assessed. A high alpha value indicates that the items on the questionnaire are measuring the same underlying concept and that the questionnaire is reliable.

Correlation between the score on the questionnaire and another measure of the same concept (Option A) and consistency by which multiple subjects are able to complete the questionnaire without error (Option D) can also provide information about the reliability of a questionnaire.

The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

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Answer:

1/40

Step-by-step explanation:

To write 0.025 as a fraction you have to write 0.025 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.025 = 0.025/1 = 0.25/10 = 2.5/100 = 25/1000

And finally we have:

0.025 as a fraction equals 25/1000

then we simplify it

The value of 0.025 in the fraction form will be 1/40

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

To write 0.025 as a fraction you have to write 0.025 as the numerator and put 1 as the denominator. Now you multiply the numerator and denominator by 10 as long as you get in the numerator the whole number.

0.025 = 0.025/1 = 0.25/10 = 2.5/100 = 25/1000

0.025 as a fraction equals 25/1000

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The category of the function f(x) shown in the graph is a (b) Linear function

Any graph that is represented by a straight line is a linear graph

The above statement means that the graph is a linear graph because it is represented by a straight line.

See attachment for the graph of the function

Hence, the category of the function f(x) shown in the graph is a (b) Linear function

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Answer:

Step-by-step explanation:

you substitute -17 for t

3x-17=-51

-51+22=-29

Answer:

6 < x

Step-by-step explanation:

4(3x + 2) <5(3x - 2)

Distribute

12x +8 < 15x -10

Subtract 12 x from each side

12x +8-12x < 15x-12x -10

8 < 3x - 10

Add 10 to each side

8+10 < 3x-10+10

18 < 3x

Divide by 3

18/3 < 3x/3

6 < x

Answer:

The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation.

The equation   − 2 (  x  +  3  )  =  − 2 x  −  6  does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation.

We have  − 2 (  x  +  3  )  means that each term inside the parenthesis should be multiplied with  − 2 , i.e.

− 2 (  x  +  3 )  =  − 2  ⋅  x  −  2  ⋅  (  +  3 )  =  − 2 x  −  6

Which is exactly what the right side says.

Any value of x will, therefore, fulfill this equation.

The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Answer:

a positive number

Step-by-step explanation:

-(-) = +

for example, -1 * -1 = 1

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

\(\frac{11-x}{8-x}=\frac{2}{1}\)

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

Traditionally, some cultures require food to be prepared using specific techniques that have been passed down from generation to generation. For example, in Japanese cuisine, the preparation of sushi requires a specific technique that takes years of training to master.

Similarly, in Indian cuisine, the use of spices and herbs is an integral part of the cooking process, and the proper combination of these ingredients is critical to the taste of the dish.

In today's society, advertising is a form of influence on food habits. Companies spend millions of dollars each year on advertising their products, and these ads can have a significant impact on what people choose to eat. For example, fast food companies often use advertising to promote their products as convenient and affordable options for busy people.

This can lead to people choosing these types of foods over healthier options, which can have negative health consequences in the long run. It's important to be aware of the influence of advertising on our food choices and to make informed decisions about what we eat.

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Answer:

32% is 0.32

6% is 0.06

93% is 0.93

150% is 1.5

12.5% is 0.125

Hope this helps!

To use data in the sample as much as possible while also forcing the null hypothesis to be true, one can conduct a permutation test or use bootstrapping. These approaches allow all information in the sample to be used while still ensuring the null hypothesis is true.

One way to use the data in the sample as much as possible while also forcing the null hypothesis to be true is by conducting a permutation test. This involves randomly permuting the labels of the sample without changing the sample size, and then recalculating the test statistic under the null hypothesis for each permutation.

By repeating this process many times, we can generate a null distribution of the test statistic and estimate the p-value of the observed test statistic based on its rank in the null distribution.

Another way is by using bootstrapping, which involves resampling the data with replacement from the sample to create multiple new samples, each with the same size as the original sample. The null hypothesis is then tested on each of these resampled datasets.

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Answer:

\(DF = 56.4\)

Step-by-step explanation:

Given

See attachment for tree and the stake

Required

The height of the tree

From the attachment, the height is represented by DF.

DF is calculated using the following equivalent ratios

\(AC:CB = DF:FE\)

This gives:

\(5.6:4.2 = DF:42.3\)

Express as fraction

\(\frac{5.6}{4.2} = \frac{DF}{42.3}\)

Solve for DF

\(DF = \frac{5.6}{4.2} *42.3\)

\(DF = \frac{5.6*42.3}{4.2}\)

\(DF = \frac{236.88}{4.2}\)

\(DF = 56.4\)

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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Answer:

hope this helps, happy learning!!!

Answer:

slope: -2

y intercept: 3

Step-by-step explanation:

The probability of picking one bolt and one nut is 1/2 or 50%.

To find the probability that one is a bolt and one is a nut, we need to use the formula for calculating the probability of two independent events happening together: P(A and B) = P(A) × P(B)

Let's first calculate the probability of picking a bolt from the box:

P(bolt) = number of bolts / total number of parts = 3/6 = 1/2

Now, let's calculate the probability of picking a nut from the box:

P(nut) = number of nuts / total number of parts = 3/6 = 1/2

Since the events are independent, the probability of picking a bolt and a nut in any order is:

P(bolt and nut) = P(bolt) × P(nut) + P(nut) × P(bolt)

P(bolt and nut) = (1/2) × (1/2) + (1/2) × (1/2)

P(bolt and nut) = 1/2

Therefore, the probability of picking one bolt and one nut is 1/2 or 50%.

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the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

To find the probability that one chosen part is a bolt and the other chosen part is a nut, we need to use the formula for probability:

Probability = (number of desired outcomes) / (total number of outcomes)

There are two ways we could choose one bolt and one nut: we could choose a bolt first and a nut second, or we could choose a nut first and a bolt second. Each of these choices corresponds to one desired outcome.

To find the number of ways to choose a bolt first and a nut second, we multiply the number of bolts (3) by the number of nuts (3), since there are 3 possible bolts and 3 possible nuts to choose from. This gives us 3 x 3 = 9 total outcomes.

Similarly, there are 3 x 3 = 9 total outcomes if we choose a nut first and a bolt second.

Therefore, the total number of desired outcomes is 9 + 9 = 18.

The total number of possible outcomes is the number of ways we could choose two parts from the box, which is the number of ways to choose 2 items from a set of 6 items. This is given by the formula:

Total outcomes = (6 choose 2) = (6! / (2! * 4!)) = 15

Putting it all together, we have:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 18 / 15
Probability = 1.2

However, this answer doesn't make sense because probabilities should always be between 0 and 1. So we made a mistake somewhere. The mistake is that we double-counted some outcomes. For example, if we choose a bolt first and a nut second, this is the same as choosing a nut first and a bolt second, so we shouldn't count it twice.

To correct for this, we need to subtract the number of outcomes we double-counted. There are 3 outcomes that we double-counted: choosing two bolts, choosing two nuts, and choosing the same part twice (e.g. choosing the same bolt twice). So we need to subtract 3 from the total number of desired outcomes:

Number of desired outcomes = 18 - 3 = 15

Now we can calculate the correct probability:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 15 / 15
Probability = 1

So the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

The answer would be D, 2/5 because if you write it in the for y=mx+b, and if you plug in the values and combine like terms, you get 2/5.

Hope this helps and let me know if you have any questions! ~~

Step-by-step explanation:

Answer:D is 2/5

Step-by-step explanation:I hope i have help u ! Have an wonderful Thursday!

A hypothesis is a statement regarding a characteristic of one or more populations. The null hypothesis is a statement of no change, no effect, or no difference. The alternative hypothesis is a statement we are trying to find evidence to support.

Generally, the null hypothesis expresses that there is no change, no difference, no effect, and in another way, no relationship between the independent and dependent variables. Because we are hypothesizing that nothing is happening, then it is called the null hypothesis.

The null and alternative hypothesis are two conflicting claims which researchers weigh evidence for and against using a statistical test. Null hypothesis (H0) means there is no effect in the population. Meanwhile, alternative hypothesis (Ha or H1) means there is an effect in the population.

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Answer:

D.

Step-by-step explanation:

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Answer:

The 3rd one is the answer

Step-by-step explanation:

For it to be a function, the x values all have to be different. For the 3rd one, -3 is repeated. Therefore it is the answer.

Answer:

x = 8

In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.

6 + 6 + 6 = 18

Check the picture below.

Answer:

7x(3c)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

7 more then, start with +7. 3 multiplied by c is 3c. Therefore, it would be 7+3c