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When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answer:

The answer to your problem is, -3

Step-by-step explanation:

First lets, convert:

\(\frac{-66}{5}\) ÷ \(\frac{22}{5}\)

Apply the fractions, formula, division:

\(= \frac{-66 * 5}{5*22}\)

= \(\frac{-330}{110}\)

Thus, your answer is, -3.

( * = multipaction is the fraction form ;) )

Answer: John grew 4 and 3/4 inches in one year.

Step-by-step explanation:

Start by subtracting  64.375 (64 and 3/8) by 59.625 (59 and 5/8).

Type your numbers into a calculator (both ways can be put into your calculator, but decimals are easier for you to type)

Get your final answer of 4.75.

Hope this helps!

The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer:

$1429 each week

Step-by-step explanation:

He earns a total of $74,308 each year.

He works all 52 weeks during the year.

So he earns a total of $74,308 / 52 = $1429 each week

Answer:

1429$ per week

Step-by-step explanation:

74,308/52=1429

(couldnt figure out how to show the division step by step. sry)

Answer:

total angle inside quadrilateral = 360°

x+2x+90+30 = 360

3x = 360-120

3x = 240

x = 80°

Answer:

A, B, D, F is the correct answer

The answers is shown below:

In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

The geometric figure is not drawn.

The geometric figure is drawn.

The geometric figure is drawn.

The geometric figure is drawn.

The geometric figure is drawn.

The geometric figure is not drawn.

The geometric figure is not drawn.

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The trigonometric function sin2x = -0.49

Given that,

cos(x) = -1/4              tan(x) < 0

x = cos⁻¹(-1/4)

x = 104.47

We will solve the trigonometric function as;

To find sin2x,

Let,

sin2x = sin 2 * 104.47

         = sin208.95

         = -0.484

         ≅ -0.49

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Answer:

B. -√15 / 4

Step-by-step explanation:

I can feel it in my nuggets

The sample space can be represented as S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The sample space for rolling a fair 10-sided die represents all possible outcomes when rolling the die.

In this case, each outcome corresponds to a number that can appear on the face of the die.

Since the die has 10 sides, the numbers 1 to 10 are the possible outcomes.

Therefore, the sample space for rolling a fair 10-sided die can be listed as {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Each element in the sample space represents a distinct possibility and covers all the potential results of rolling the die.

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The measure of angle subtended by the arc JR is determined as 74 ⁰.

The measure of arc JR is calculated by applying the following principle of circle geometry for a cyclic quadrilateral as shown below.

The measure of the angle tangent to the circle opposite the arc JR is given as 37 ⁰.

The measure of angle subtended by the arc JR is calculated as

m∠ JR = 2 x 37 ⁰ ( angle at the tangent is half of the angle subtended by the arc.

m∠ JR =74 ⁰

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Answer: x > 12

Step 1.

Add 5 to both sides.

2x - 9 + 9 > 15 + 9

2x > 24

Step 2.

Divide both sides by 2.

2x ÷ 2 > 24 ÷ 2

x > 12

Hence, x > 12 is the answer

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Answer:

C pi/9

Explanation:

"We need to find the number that is not between 1 and 6.28.

A pi = 3.14; 3.14 is between 1 and 6.28, so this is not the answer.

B sqrt(9) = 3; 3 is between 1 and 6.28, so this is not the answer.

C pi/9 = 3.14/9 = 0.349; 0.349 is not between 1 and 6.28, so this is the answer.

D pi^2/9 = (3.14 * 3.14)/9 = 9.86/9 = 1.095; 1.095 is between 1 and 6.28, so this is not the answer." (mathstudent55) thank you to mathstudent55 for the answer.

Answer:

10

Step-by-step explanation:

Squareroot of 10 over 12 is 2

3 pi is 9.424777961

Answer:

Solutions

Step-by-step explanation:

El ángulo de 45 grados es uno de los ángulos notables en trigonometría. La razón trigonométrica más comúnmente asociada con este ángulo es:

- La razón trigonométrica del seno: sin(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica del coseno: cos(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica de la tangente: tan(45°) = sin(45°)/cos(45°) = 1

Recuerda que estas razones trigonométricas se obtienen a partir de la relación entre los lados de un triángulo rectángulo y se utilizan para calcular longitudes, ángulos y relaciones en problemas trigonométricos.

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

22=a/11

22 times 11 = a

242 = a

a= 242

hope this helps

Answer:

The Answer Is (242) that's it I did the exam happily. :)

Step-by-step explanation:

a. = F divided by m is right

The number of people in a restaurant is a discrete random variable with possible values ranging from 0 to 100, while the time it takes for a light bulb to burn out is a continuous random variable with values spanning a non-negative real interval.

Let us now explain each sub-question in a detailed way:

(a) The number of people in a restaurant that has a capacity of 100 is a discrete random variable. This is because the possible values of the random variable are countable and distinct. The number of people in the restaurant can only take on whole number values from 0 to 100, inclusive. The values 0, 1, 2, ..., 100 represent the possible occupancy levels of the restaurant.

(b) The time it takes for a light bulb to burn out is a continuous random variable. This is because the possible values of the random variable form a continuous interval. The time it takes for a light bulb to burn out can theoretically range from a fraction of a second to infinity. It can take on any non-negative real value within this range. Therefore, the possible values of this random variable span a continuum rather than a countable set of distinct values.

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Answer:

the answer would be 6

Step-by-step explanation:

basically you're just multiplying by 3

like 3×3 =9

8×3 =24

10×3=30 4×3=12. 3×6 =18

P(-4,-1) are the coordinates of circumcentre of the triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Let A(-5,-4), B(3,-4), C(-1,6) be the vertices of the given △ABC.

Let P(x,y) be the circumcentre of △ABC. Then,

PA = PB = PC

Also, PA² = PB² = PC²

PA² = PB²

(x-(-5))² + (y-(-4))² = (x-3)² + (y-(-4))²

(x+5)² + (y+4)² = (x-3)² + (y+4)²

x²+10x+25 + y²+8y+16 = x²-6x+9 + y²+8y+16

10x-6x = 9-25

4x = -16

x = -16/4 = -4

Also, PB² = PC²

(x-3)² + (y+4)² = (x+1)² + (y-6)²

x²-6x+9 + y²+8y+16 = x²+2x+1 + y²-12y+36

-6x-2x+8y+12y = 37-9-16

-8y+20y = 12

-2x+5y = 3 .......(1)

put x= -4 into (1):

-2(-4)+5y = 3

8+5y = 3

5y = 3-8

5y = -5

y = -1

Therefore, the coordinates of circumcentre of △ABC are P(-4,-1)

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The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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Answer:

5374771.2

Step-by-step explanation:

Answer:

enjoy it .................

Answer:

Translates up 1 and to the left 2

Step-by-step explanation:

I'm not completely sure if this is right but I hope it helps :/

(a) Descriptive,(b) Inferential,(c) Inferential,(d) Descriptive and 2. Range = 57, Interquartile Range (IQR) = 28.5, Variance = 392.1875, Standard Deviation = 19.8, Mean = 45.5 and 3. Variance =  4.8, Standard Deviation = 2.19 , Mean = 7

Z-scores = Calculated by subtracting the mean from each value and dividing by the standard deviation. When the data is normally distributed, approximately 68% of values fall within one standard deviation of the mean. Therefore, the percent of values between 85-115 would be approximately 68%.

a) Descriptive - the class average on last Friday's exam was 71%.

b) Inferential - the class average on all exams in my course based on the last 2 years of data is 71%.

c) Inferential - the percent of people that plan to vote for Candidate Ashkenian in the next election.

d) Descriptive - the percent of people that did vote for Candidate Ashkenian on election day.

2.Given the sample: 32, 76, 44, 58, 32, 19, 63, 51.

a) Range = Maximum value - Minimum value = 76 - 19 = 57.

b) To compute the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) by arranging the data in ascending order: 19, 32, 32, 44, 51, 58, 63, 76.

Q1 = (32 + 32) / 2 = 32.

Q3 = (58 + 63) / 2 = 60.5.

IQR = Q3 - Q1 = 60.5 - 32 = 28.5.

c) To compute the variance, we first calculate the mean (average) of the data: (32 + 76 + 44 + 58 + 32 + 19 + 63 + 51) / 8 = 45.5.

Next, we subtract the mean from each data point, square the result, and calculate the average of the squared differences:

Variance = ((32 - 45.5)^2 + (76 - 45.5)^2 + (44 - 45.5)^2 + (58 - 45.5)^2 + (32 - 45.5)^2 + (19 - 45.5)^2 + (63 - 45.5)^2 + (51 - 45.5)^2) / 8 = 392.1875.

d) The standard deviation is the square root of the variance: √392.1875 ≈ 19.8.

3.Given the values: 3, 6, 7, 9, 10.

a) Mean = (3 + 6 + 7 + 9 + 10) / 5 = 7.

b) To calculate the standard deviation, we first find the variance:

Variance = [(3 - 7)^2 + (6 - 7)^2 + (7 - 7)^2 + (9 - 7)^2 + (10 - 7)^2] / 5 = 4.8.

Standard Deviation = √4.8 ≈ 2.19.

c) To calculate the z-score for each value, we subtract the mean from each value and divide by the standard deviation:

For 3: (3 - 7) / 2.19 ≈ -1.83

For 6: (6 - 7) / 2.19 ≈ -0.46

For 7: (7 - 7) / 2.19 ≈ 0

For 9: (9 - 7) / 2.19 ≈ 0.92

For 10: (10 - 7) / 2.19 ≈ 1.37

4. Given that the sample variable has a mean of 100 and a standard deviation of 10, we can use Chebyshev's Theorem and the characteristics of the normal distribution to determine the percent of data within specific ranges.

(a) Range: 80-120.

Chebyshev's Theorem guarantees that at least (1 - 1/k^2) of the data falls within k standard deviations from the mean. In this case, k = (120 - 100) / 10 = 2.

Thus, at least 1 - 1/2^2 = 1 - 1/4 = 75% of the data falls within the range 80-120.

(b) Range: 75-125.

Using the same reasoning as above, k = (125 - 100) / 10 = 2.5.

Therefore, at least 1 - 1/2.5^2 = 1 - 1/6.25 = 84% of the data falls within the range 75-125.

(c) Range: 50-150.

Here, k = (150 - 100) / 10 = 5.

Hence, at least 1 - 1/5^2 = 1 - 1/25 = 96% of the data falls within the range 50-150.

(d) Since the variable is normally distributed, we can use the properties of the normal distribution. In a normal distribution, approximately 68% of the data falls within one standard deviation from the mean. Therefore, the percentage of values between 85-115 would also be approximately 68%.

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The statement "Climatic Influences on American Architecture." is false.

While both sources may discuss aspects of architecture in relation to weather conditions, they do not necessarily both note how an architect must consider a cold weather climate in their design.

The article "Weathering the Storm" specifically focuses on how architects can design buildings to withstand extreme weather conditions, including hurricanes, floods, and wildfires. It does not delve into the specifics of designing for a cold weather climate. On the other hand, the excerpt from "Climatic Influences on American Architecture" does discuss designing for a cold climate. It notes that cold weather conditions affect building design and that architects must consider insulation, thermal mass, and orientation of buildings to minimize heat loss.

So, while "Climatic Influences on American Architecture" notes how architects must consider a cold weather climate in their design, Weathering the Storm does not. Overall, it is important to read sources carefully to understand how they address a specific topic.

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What does 3x-19 equal? You can find x without it being an equation

The solution is, the value of x is 6.33.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

(3x-19) = 0,

here, we have to make the given expression simple, as we have to find the value of x.

so, we get, by isolating the variable & numbers,

adding 19 on both sides we get,

3x = 19

dividing both sides by 3, we get,

or, x = 19/3

or, x = 6.33

Hence, The solution is, the value of x is 6.33.

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Answer: y=-2x-2.5

Step-by-step explanation:

The solution to the system of Equations is x = 1 and y = -2.

Binh was solving a system of equations using the graphing method. This method involves graphing the given equations and finding the point where the graphs intersect. In this case, Binh incorrectly graphed the equation y = x - 3.

To solve the system correctly, Binh should follow these steps:

1. Rewrite the equation, if needed, in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. The given equation, y = x - 3, is already in this form.

2. Determine the slope (m) and the y-intercept (b) of the equation. For the equation y = x - 3, the slope (m) is 1 and the y-intercept (b) is -3.

3. Graph the equation by first plotting the y-intercept on the y-axis and then using the slope to find additional points on the graph.

4. Repeat steps 1-3 for the second equation in the system.

5. Observe where the graphs intersect. This point represents the solution to the system of equations.

In this case, Binh should have found the point of intersection to be (1, -2). This means that the solution to the system of equations is x = 1 and y = -2. By accurately graphing the equations and finding the correct point of intersection, Binh can ensure that they have solved the system of equations correctly.

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