The points represented by the table like on a line. Find the slope of the line.
х
2
2
2
2
y
-6
3
-7
1

Hi

to solve you must transcrive every word in math terms correctly.

so let's first give a name to our mysterious number. As you know, in math we generally call unknown by letter. " X"

so let's now play the detective.

what do we know on " X" ?

we add 3 to X so we have : X+3

then we multiply by 5. so. ( X+3) *5 .

if we do that we have twice X , so 2X

so ( X+3) * 5 = 2 X

now that we have translatted our data in math term, let's unmask. " X"

( X+3) *5 = 2X

5*X +3*5 = 2X

5X +15 = 2X

5X-2X = -15

3X = -15

X = -15/3

X = -5

So is " -5" is our guy.

let's check it out to be sure .

-5 +3 = -2

-2*5 = -10

-10 is twice -5. so -5 is the correct answer.

Ps : some operation are commonly implied. if you do not. know how I could write some line in the calculus, dont hesitate to ask in comments.

There is no mysteries in math everything is done according to rules and can be explained. So don't hesitate !

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

In order to get the average hourly wage we have to compute the total earnings and then divide it by the total hours:

Therefore, the average hourly wage is 6.79 dollars per hour. Answer d.

Using proportions, it is found that the missile's internal computer clock is of 20 seconds.

50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:

50 tenths - 5 seconds

200 tenths - x seconds

Applying cross multiplication:

\(50x = 5(200)\)

\(50x = 1000\)

\(x = \frac{1000}{50}\)

\(x = 20\)

The missile's internal computer clock is of 20 seconds.

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The drawing of the 3 different ways (obtained by writing the equation related to the information in the question) to arrange the panels that gives the 3 playpens different dimensions created with MS Word is attached.

An equation is a mathematical (representation) of a statement that connects two expressions with an equals sign.

The number panels on the playpen = 12

Length of each panel = 2 feet long

The number of ways to arrange the panel = 3 ways

The number of panels on each side of the playpen can be found using the equation;

2·a + 2·b = 12

Where;

a and b are natural numbers (integers larger than zero)

a and b are the number of panels on a width and the adjacent length of the playpen

Therefore;

(2·a + 2·b)/2 = 12/2 = 6

2·(a + b)/2 = 6

a + b = 6

b = 6 - a

Fist configuration

When a = 1, b = 6 - 1 = 5

a = 1, b = 5

Second configuration

When a = 2, b = 6 - 2 = 4

a = 2, b = 4

Third configuration

When a = 3, b = 6 - 3 = 3

Please find attached the shape of the three playpens based on the three possible arrangements created with MS Word

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Answer:

0.97

Step-by-step explanation:

To convert a fraction to a decimal, divide the numerator by the denomiator.

29 ÷ 30 = 0.966666667

= 0.97 (rounded)

hope this helps!

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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Answer: what is the answer

Step-by-step explanation:

Answer:

\(tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}\)

Step-by-step explanation:

\(tan(theta)=\frac{Opp}{Adj}\)

Unless you want to solve for A and B plug that into inverse calculator.

A = tan^-1 ( 12/20 ) = 31°

A = 31.0°

B = tan^-1 ( 20/12 ) = 59.0°

B = 59.0°

Answer:

x = 15

Step-by-step explanation:

Hope this helps! :D

Answer: the answer for x is 15.

Step-by-step explanation:

Step 1) Combined multiple terms into a single fraction.

\(\frac{1}{5}\) x + 3 = 2x - 24

\(\frac{1x}{5}\) x + 3 = 2x - 24

Step 2) Multiply by 1

\(\frac{1x}{5}\) + 3 = 2x - 24

\(\frac{x}{5}\) + 3 = 2x - 24

Lastly just do all the steps that narrows down to the answer which is 15. I hope I helped in some way or form.

Answer:

A

Step-by-step explanation:

z = -3 - 5i

z (i) = i (-3 - 5 i)

z (i) = -3i - 5i^2

z (i) = -3i - 5 (-1)

z (i) = -3i + 5

z (i) = 5 - 3i

Therefore, letter A is the correct answer.

Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

Answer:

2.33 units

Step-by-step explanation:

\(\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units\)

The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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a. It is more likely to randomly select square yards of material and finding an average of or more flaws.

b. Normal distribution assumes that the data is continuous and symmetric, but in this case, the number of flaws per square yard is a count data, and it is not symmetric. Therefore, a normal distribution cannot be used to calculate the probability of the first event in part (a).

c. To calculate the probability of the second event in part (a), we would need the mean and standard deviation of the number of flaws per square yard, as well as the specific threshold of "or more flaws" to calculate the area under the curve that is greater than or equal to that threshold. Without that information, I cannot provide an accurate probability calculation.

I determined that it was not possible to calculate the probability of the second event in part (a) without the specific mean and standard deviation of the number of flaws per square yard and the specific threshold of "or more flaws." This is because in order to calculate the probability of an event, you need to know the underlying distribution of the data and the specific cut-off point for the event in question.

In the other part of the question, I stated that it is more likely to randomly select square yards of material and finding an average of or more flaws than it is to randomly select a square yard of material and finding 2 or more flaws.

I came to this conclusion without any calculations because in general, when you are looking for a specific number of flaws (in this case, 2 or more flaws) in a single square yard, it is typically less likely than finding an average of that number of flaws when you look at multiple square yards. This is because the number of flaws per square yard can vary, so even if the average is 2 or more flaws per square yard, it is still possible to find square yards with fewer than 2 flaws.

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Answer:

The answer would be D.

Step-by-step explanation:

Hope this Helps! Have a good day!

Answer:

D is the answer

Step-by-step explanation:

 is the answer to the question.  

To understand these questions, first look at the way the answers are written out.

Alia questions three students from her class, that might be an answer, but she didn't randomly pick them.

Miles randomly surveys a group of customers at a coffee shop, that might be one, but he might have surveyed a 25 year old instead of a 24 year old, so thats not one.  

Carson interviews students working part-time to gather data, he didn't select random students, he interviewed all of them, so that is not a valid option.

 Lea speaks with the managers at half of the town's 10 supermarkets, which stock similar items, to find out which breakfast cereal is most popular among the town's residents, that one is not stating that she interviewed, but she interviewed half of the 10, which is five, which can be selected randomly.  

So the correct answer is D.  

Answer:

The five friends had 10 fingers to start with; one had two each

Step-by-step explanation:

The statement says each gave one of not all of his ginger in the toasting session.

As a result, there is a 0.887 or 88.7% chance that at least one of a random group of 12 persons will have the flu.

Typically, the probability is defined as the ratio of favorable events to all other outcomes in the sample space. Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

The complement rule can be used to calculate the likelihood that for at least one individual in a representative selection of 12 persons has the flu.

"No one is infected" is the opposite of the statement "at least one individual is infected." The following formulas provide the likelihood that no one has the flu:

P(no one is infected) = (0.8)¹²

This is due to the fact that we multiply the likelihood that each individual in the sample is not infected—which is 0.8 by the number of people in the sample.

The likelihood that for at least one individual is afflicted is equal to the likelihood that nobody is affected:

P(at least one person is infected) = 1 - P(no one is infected)

Substituting the value of P(no one is infected), we get:

P(at least one person is infected) = 1 - (0.8)¹²

Calculating the answer, we obtain:

P(at least one person is infected) = 0.887

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Answer:

Step-by-step explanation:

f(x) = x² - 5x + 7

To find f(3) substitute the value of x that's 3 into f(x) that's replace every x in f (x) by 3

We have

We have the final answer as

Hope this helps you

Answer:

\(x=7.5\)

Step-by-step explanation:

\(\frac{4x-1}{2}=x+7\\4x-1=2(x+7)\\4x-1=2x+14\\2x-1=14\\2x=15\\x=\frac{15}{2} =7.5\)

Hope this helps!

Using the law of detachment and the law of syllogism,

We can conclude that Sally is too heavy for the bridge, but we cannot conclude that she can cross the bridge.

We have,

Using the law of detachment, we can conclude from statements 1 and statement 3:

If something weighs more than 2,000 pounds, then it weighs more than Jill's car. (Statement 1)

Sally the elephant weighs 2,325 pounds. (Statement 3)

Therefore, Sally weighs more than Jill's car.

Using the law of syllogism, we can then use the conclusion above and statement 2 to conclude:

Sally weighs more than Jill's car.

If something weighs more than Jill's car, then it is too heavy for the bridge. (Statement 2)

Therefore, Sally is too heavy for the bridge.

Therefore,

We can conclude that Sally is too heavy for the bridge, but we cannot conclude that she can cross the bridge.

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Answer:

Together they equal 180 l so you need to do 180-128 which equals 52. The answer is <D measures 52

Step-by-step explanation:

We have the expression:

We start by solving the product first and then the substraction.

Answer: 2.64

Answer:

1

Step-by-step explanation:

Answer:

Expanded Notation Form:

 6,863 =

 6,000  

+ 800  

+ 60  

+ 3  

Expanded Factors Form:

 6,863  =

 6 × 1,000  

+ 8 × 100  

+ 6 × 10  

+ 3 × 1  

Expanded Exponential Form:

        6,863 =

       6 × 10^3

+ 8 × 10^2

+ 6 × 10^1

+ 3 × 10^0

Answer:

Six thousand eight hundred sixty three

Step-by-step explanation:

The number of students surveyed is obtained with the following equation:

nP/100 = 12.

In which:

The number of students surveyed is obtained applying the proportions in the context of the problem.

The circle graph gives the percentage P of students that choose black, which is equivalent to 12 students.

Hence the number n of students is obtained solving the following equation:

nP/100 = 12.

For example, if the percentage is of 20%, we have that:

0.2P = 12

P = 12/0.2

P = 60 students.

The problem is incomplete, hence the general procedure to obtain the number of students was presented.

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Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Answer:

OOk

Step-by-step explanation: