passes through (-7, -4) parallel to y=1/2x+9

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

Answer:

200

frogs

Step-by-step explanation:

To get this, we simply substitute the value of 8 for t in the exponential equation

we have this;

f(8) = 180(1.02)^8

f(8) = 210.89

which is approximately 211

To the nearest hundredth, the approximate value is 200

The temperature at 6pm was of  -5.1ºF.

This problem can be solved by using system of equations.

A system of equations means when there are  two or more variables that are related, and equations are made to find the values of each variable of the problem.

It is given that at 9 am, the temperature was -12.3°F. Between 9am and the noon, the temperature rose 12°F. So, the temperature at noon was of -12.3 + 12 = -0.3ºF.

Also, between the noon and  3pm, the temperature went up 11.5°F. So, at 3 pm, the temperature was of -0.3 + 11.5 = 11.2 ºF.

Further, between 3pm and 6pm, the temperature dropped 16.3°F.So, the temperature at 6 pm was of 11.2 - 16.3 = -5.1 ºF.

Hence, the temperature at 6pm was -5.1°F

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The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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Answer:

2) x=6 3) x=4 m<EFH=21 m<EFG=83

Step-by-step explanation:

2) Basically they're giving you two parts of a whole angle. The entire angle is 127 degrees, split into two parts. one part being 83 degrees and the other is (9x-10). the way you solve for X is by making it into an equation. Angle JKM + angle MKL = angle JKL. So substitute the values they gave you into the one we just made.

(9x-10) + 83 = 127 then solve for x.

9x-10+83=127

9x+73=127

9x=54

x=6

3) this question is the same thing but now theres a variable on both sides of the equation. angle EFH +angle HFG = angle EGF. substitute then solve for x

(5x+1) + 62 = 18x+11

5x+63=18x+11 move the x variables to one side

52=13x

x=4

for the rest of the angles just plug in the x value to the equations for the smaller angles

m<EGF:

18x+11

18(4)+11= 83

m<EFH

5x+1

5(4)+1= 21

The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

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Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Answer:

132 km :)))))))))))))))

Step-by-step explanation:

The Hint said to find the two things in comparison

they are:

cross multiply the two equations

=99km*12lit=9lit*Xkm

=1188lit/km=9Xlit

note;

liters will annul liters

hence,

X=1188km/9

X = 132km

is the final answer

Answer:

Price went up, $24.64/year for 28 years

Step-by-step explanation:

Change Year = 28

Change Price = 690

Average rate = 690/28 = 24.64

Answer:

a. mode

b. median

c. median

Step-by-step explanation:

the mode is the most common number

the median is when you order the numbers in order and use the middle number

Sequence and series are important to many of the real life situations like to make a decision based on predicting or evaluating the outcome of an event.

A sequence is simply a defined order of set of objects. If we know the order of this set, we can know any value of this sequence through proper formulas. For example, we can define the sequence of even numbers as the set (2, 4, 6, ....).

There are finite and infinite sequence based on the number of elements.

Series are the sum of the values of the sequence.

There are Arithmetic sequences and series as well as geometric sequences and series.

Arithmetic sequences are sequences where the difference of two consecutive terms are equal. The sum of the terms in this sequence is called arithmetic series.

Common applications of arithmetic sequences are to calculate simple interest and also to make estimation on how a certain thing will change in the future.

Geometric sequences are sequences where the ratio of two consecutive terms are equal. The sum of the terms in this sequence is called geometric series.

Common applications of geometric sequences are to calculate compound interest and also to make estimation on how a certain thing will change in the future.

Hence, sequences and series are quite important in our life.

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Answer:26 last one 25 first and 3 middle

Step-by-step explanation:

Answer:

Each ticket is $11.50. (11 dolars and 50 cents)

Step-by-step explanation:

46/4=11.5

Answer:

2

\\Step-by-step explanation:

Answer:

Step-by-step explanation:

when we find the volume of a cylinder we must know

the radius

the length of the cylinder-L

L^2=11^2+4^2

L^2= 144+16

L=√160

L=4√10 INCHES

                       = 3.14*16*4√10

                       = 3.14*64*2.23*1.41

                       = 632.192528

                       ≈632 CUBIC INCHES

The probability that the sample mean of 128 adults is more than 70.3 kilogrammes is about 0.08%.

We can utilise the Central Limit Theorem to tackle this problem, which stipulates that given a high sample size, the distribution of sample means will be approximately normal, regardless of the form of the population distribution. The sample means' mean will equal the population mean, and the sample means' standard deviation (also known as the standard error) will equal the population standard deviation divided by the square root of the sample size.

Given that the population mean is 68 kilogrammes and the population standard deviation is 10 kilogrammes, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes must be calculated.

To begin, we first compute the standard error of the sample means:

Standard Error = Standard Deviation of the Population / Sample Size

= 10 / √128

= 0.8839

The z-score formula may then be used to calculate the z-score corresponding to a sample mean of 70.3 kilogrammes:

(sample mean - population mean) / standard error = z

= (70.3 - 68) / 0.8839

= 3.15

We may calculate the likelihood that the z-score is greater than 3.15 using a conventional normal distribution table or a calculator. Because the standard normal distribution is symmetrical, the likelihood of the z-score being more than 3.15 is the same as the likelihood of the z-score being less than -3.15.

According to a conventional normal distribution table, the probability associated with a z-score of -3.15 is roughly 0.0008.

As a result, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes is roughly 0.0008, or 0.08%.

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The probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.

To solve this problem, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. The mean of the sample means will be equal to the population mean, and the standard deviation of the sample means (also known as the standard error) will be equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 68 kilograms and the population standard deviation is 10 kilograms, we need to calculate the probability that the sample mean of 128 adults is greater than 70.3 kilograms.

First, we need to calculate the standard error of the sample means:

Standard Error = Population Standard Deviation / √Sample Size

= 10 / √128

= 0.8839

Next, we can use the z-score formula to find the z-score corresponding to a sample mean of 70.3 kilograms:

z = (sample mean - population mean) / standard error

= (70.3 - 68) / 0.8839

= 3.15

Using a standard normal distribution table or a calculator, we can find the probability that the z-score is greater than 3.15. Since the standard normal distribution is symmetrical, the probability that the z-score is greater than 3.15 is the same as the probability that the z-score is less than -3.15.

From a standard normal distribution table, we find that the probability corresponding to a z-score of -3.15 is approximately 0.0008.

Therefore, the probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.

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Answer:

c

Step-by-step explanation:

The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

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Answer:

4.4 hours

Step-by-step explanation:

Answer: ABC EASY AS 123

Step-by-step explanation:

The forest fires in southern Mexico and Guatemala consumed forest land at a rate of 28,600 acres per week.

During May 1998, forest fires in southern Mexico and Guatemala were burning at a significant rate, resulting in the spread of smoke all the way to Austin. The fires were consuming forest land at a rate of 28,600 acres per week. This indicates the amount of forest area that was destroyed or affected by the fires within a span of one week.

The figure of 28,600 acres per week provides an understanding of the magnitude and impact of the forest fires. It highlights the rapid rate at which the fires were spreading and consuming the forested areas. Forest fires are known to have severe ecological and environmental consequences, including loss of biodiversity, destruction of habitats, and degradation of air quality due to the smoke generated. The fact that the smoke from these fires reached Austin suggests the vast distance covered by the smoke plume, indicating the scale and intensity of the fires.

Forest fires are a significant concern as they pose risks to both human lives and natural ecosystems. They can have long-lasting effects on the affected regions, requiring extensive recovery and rehabilitation efforts. Monitoring and managing forest fires, along with implementing preventive measures, are crucial for minimizing their impact and protecting valuable forest resources.

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The expression is equivalent to 45m^-6p^2v^12/15m^-2p^8v^-4 is Option b 3v^16/m^4p^6 .

Given :

expression is equivalent to for all values of m , p , and v where the expression is defined

= ( 45m^-6 ) * p^2 * v^12 / 15m^-2 * p^8 * v^-4

= ( 45 / 15 ) ( m^-6 / m^-2 ) ( p^2 / p^8 ) ( v^12 / v^-4 )

= 3 ( m^-6 - ( -2 ) ( p^2 - 8 ) ( v^12 - ( - 4 )

= 3 ( m^-6 + 2 ) ( p^-6 ) ( v^12 + 4 )

= 3 ( m^-4 ) ( p^-6 ) ( v^16)

= 3 * v^16 / m^4 * p^6

= 3v^16 / m^4p^6

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The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Answer:

The median increases to 7

Step-by-step explanation:

List the numbers in chronological order,

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5

As of now, the median is 6.75.

When a shoe size of 9 is added, we have

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9

Now, the median is 7.

By using exponents, we can write the expressions  (6⁵)¹⁰ as  6⁵⁰.

The exponent of a number says how many times to use the number in a multiplication.

Also, exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

If  an expression is given as (6⁵)¹⁰ , using exponents, we can write the  expressions in the form of \(6^k\) as shown below;

The expression "k" is an integer {0, 1, 2, 3, etc}

By applying rule of exponent for the multiplication of powers, (6⁵)¹⁰ is simplified as;

(6⁵)¹⁰ = 6⁵⁰

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