p is an odd number
explain why p^2 + 1 is always an odd number

Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39

A z-score of -1.32 indicates that Tim's score on the test is below average, but not extremely unusual or unexpected.

If Tim's calculated z-score for his test score of 72 is -1.32, it means that his score is 1.32 standard deviations below the mean of the distribution.

A z-score represents the number of standard deviations that a data point is away from the mean of the data set.

A negative z-score means that the data point is below the mean, while a positive z-score means that the data point is above the mean.

To calculate Tim's score, we can use the formula:

z = (x - μ) / σ

where:

z = the z-score

x = the test score

μ = the mean of the distribution

σ = the standard deviation of the distribution

Substituting the given values, we get:

-1.32 = (72 - μ) / σ

To solve for μ, we need to rearrange the equation as:

μ = 72 - (-1.32) × σ

This means that if Tim's z-score is -1.32 and his test score is 72, then the mean score.

The distribution is 1.32 standard deviations above his score.

The mean score using the standard deviation of the distribution, but we would need additional information such as the standard deviation value.

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Answer:

y = ( x + 3 )( x + 5 )

Step-by-step explanation:

N/A

Answer:

\(y = {x}^{2} + 8x + 15 \\ factors \: = 3 \: and \: 5 \\ y = {x}^{2} + 3x + 5x + 15 \\ y = x(x + 3) + 5(x + 3) \\ y = (x + 5)(x + 3) \\ either \: (x + 5) = 0 \: or \: (x + 3) = 0 \\ x = - 5 \: and \: - 3\)

Answer:

It'll be 18% to the nearest percent

Step-by-step explanation:

2/5 × 45 = 18

Answer:

The answer is 18%

Step-by-step explanation:

The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.

Hope this helps for you K12 math test.

The correct statement is given as follows:

C) Triangles LMK and JKM are congruent by the SAS congruence theorem.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The congruent sides for this problem are given as follows:

The angle between the congruent sides is also congruent, hence the SAS theorem states that the triangles are congruent.

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To get the exact length of the curve described by the parametric equations x = 5 + 3t^2, y = 1 + 2t^3,  the exact length of the curve described by the parametric equations x = 5 + 3t^2, y = 1 + 2t^3, 0 ≤ t ≤ 1 is (4√2 - 2)/3 units.

we can use the formula: L = ∫a^b √[dx/dt]^2 + [dy/dt]^2 dt
where a and b are the limits of integration (in this case, 0 and 1).
First, we need to find dx/dt and dy/dt:
dx/dt = 6t
dy/dt = 6t^2
Then we can substitute these expressions into the formula for L: L = ∫0^1 √(6t)^2 + (6t^2)^2 dt
L = ∫0^1 √(36t^2 + 36t^4) dt
L = ∫0^1 6t√(1 + t^2) dt
At this point, we could use a trigonometric substitution or integration by parts to evaluate the integral, but it turns out that this integral can be simplified using a u-substitution:
Let u = 1 + t^2. Then du/dt = 2t, so dt = du/(2t).
Substituting these expressions, we get:
L = ∫1^2 3√u du
L = [2u^(3/2)/3] from 1 to 2
L = (4√2 - 2√1)/3
L = (4√2 - 2)/3
Therefore, the exact length of the curve described by the parametric equations x = 5 + 3t^2, y = 1 + 2t^3, 0 ≤ t ≤ 1 is (4√2 - 2)/3 units.

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Answer:

5/6

Step-by-step explanation:

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

where's the question?

Step-by-step explanation:

I don't see a question.

Answer:

14.

Step-by-step explanation:

this a addition problem since it says "overall".

you simply add them.

Answer:

∠ XMN = 50°

Step-by-step explanation:

∠ XNM and ∠ XKL are alternate angles and are congruent, then

∠ XNM = 35°

The sum of the 3 angles in a triangle = 180° , so

∠ XMN = 180° - (95 + 35)° = 180° - 130° = 50°

The expression that represents the approximate area of the circle in square inches is 226.08 square inches. So, none of the given options are correct.

To find the approximate area of the circle, we can use the fact that the sum of the areas of the equal sectors is equal to the area of the circle. Each sector is formed by dividing the circle into 8 equal parts, so each sector represents 1/8th of the total area of the circle.

The base of the parallelogram is given as 9.42 inches, and the height is given as 3 inches. Since the opposite sides of a parallelogram are equal, the length of the other side of the parallelogram is also 9.42 inches.

To find the area of the parallelogram, we can multiply the base by the height: 9.42 inches * 3 inches = 28.26 square inches.

Since the parallelogram is formed by arranging the equal sectors of the circle, the area of the parallelogram is equal to 1/8th of the area of the circle.

Therefore, the approximate area of the circle can be found by multiplying the area of the parallelogram by 8: 28.26 square inches * 8 = 226.08 square inches. So, none of the given options are correct.

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According to the question we have  approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To answer this question, we will use the normal distribution formula and z-score.

First, we need to find the z-score for the lower limit of $1.20:

z = (1.20 - 1.50) / 0.10 = -3

Next, we need to find the z-score for the upper limit of $1.80:

z = (1.80 - 1.50) / 0.10 = 3

Now, we can use a z-table to find the area under the curve between these two z-scores.

The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.

To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:

0.9987 - 0.0013 = 0.9974

Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

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Answer:

y = -1/3x - 5

Introduction:

The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.

Step-by step explanation:

Since we have found the slope, let's find the y-intercept to create our equation.

Conclusion:

Therefore, our new equation is y = -1/3x - 5

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Female: 93/328

Adult: 103/328

Baby: 61/328

Step-by-step explanation:

71 + 93 + 103 + 61 = 328

Male: 71/328

Female: 93/328

Adult: 103/328

Baby: 61/328

P-4 = -9 + p

Because there is the same quantity of the letter p on each side of the equal sign there is no solution to this problem.

Answer: no solution

Use the following terms in your answer,

Student question: when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients.  T/F.

What are the criteria for the limit of the function?                                                                                                                                              The answer is: Always be factually accurate, professional, and friendly. Be concise and do not provide extraneous amounts of detail.

When the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. True. When the degree of the numerator is equal to the degree of the denominator, the limit is equal to the ratio of the coefficients.

This is a basic rule for computing limits of rational functions. To compute the limit of a function when x is approaching a value, substitute x into the function and evaluate it. This is a straightforward approach. It is essential to check whether the limit exists or not. If the limit does not exist, then the function is said to be divergent. If the limit exists, then the function is said to be convergent.

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Answer:

This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.

Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)

Step-by-step explanation:

The approximate percent increase in the average grade is 21.43%.

Percentage is a measure of frequency that expresses a number as a value out of hundred. The sign used to denote percentage is%.

Percentage increase = (new grade / initial grade) - 1

(85 / 70) - 1 = 0.2143 = 21.43%

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The predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

To find the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales using the provided dataset, we can follow these steps:

Step 1: Import the "Franchises Dataset" into a statistical software package like Excel or R.

Step 2: Perform regression analysis to find the equation of the line of best fit that relates the net profit (dependent variable) to the counter sales and drive-through sales (independent variables). The equation will be in the form of y = mx + b, where y is the net profit, x is the combination of counter sales and drive-through sales, m is the slope, and b is the y-intercept.

Step 3: Use the regression equation to calculate the predicted net profit for the given counter sales and drive-through sales values. Plug in the values of $900,000 for counter sales (x1) and $800,000 for drive-through sales (x2) into the equation.

For example, let's say the regression equation obtained from the analysis is: y = 0.5x1 + 0.3x2 + 1.

Substituting the values, we get:

Predicted Net Profit = 0.5(900,000) + 0.3(800,000) + 1

= 450,000 + 240,000 + 1

= 690,001 million dollars.

Therefore, the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

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To determine whether there is a decrease in voter support for the candidate after the scandal, we can test the hypothesis using the proportions of the two polls. The first poll showed 54% support among 630 randomly selected voters, while the second poll showed 51% support among 1010 voters. By conducting a hypothesis test, we can determine if the difference in proportions is statistically significant.

To test the hypothesis, we can use the two-sample z-test for proportions. The null hypothesis (H0) assumes no difference in voter support, while the alternative hypothesis (H1) assumes a decrease in support. We can calculate the test statistic using the formula:

z = (p1 - p2) / √[(p(1 - p) / n1) + (p(1 - p) / n2)]

where p1 and p2 are the proportions from the two samples, and n1 and n2 are the respective sample sizes. p is the pooled proportion, calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the respective number of successes (votes for the candidate) in each sample.

By calculating the z-value, we can compare it to the critical value for the desired significance level (e.g., α = 0.05). If the z-value exceeds the critical value, we reject the null hypothesis in favor of the alternative hypothesis, indicating a statistically significant decrease in voter support.

After performing the calculations, if the z-value exceeds the critical value, we can conclude that there is evidence to support the claim of a decrease in voter support for the candidate after the scandal. Conversely, if the z-value does not exceed the critical value, we fail to reject the null hypothesis, suggesting that there is insufficient evidence to conclude a significant decrease in support.

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The chicken breast being brought at store B is more expensive than store A as it costs $0.29 more per pound.

Given,

Robert was comparing the price of chicken breast at two stores.

The equation which represents the total cost, in dollars and cents, y, that it costs for x pounds of the chicken breast at Super grocery B is:

\(y=6.21x\)

whereas at store A the chicken breast of 2 pounds costs $\(11.84\).

we are asked to determine how expensive is it per pound to buy chicken breast at store B than store A.

⇒ at store B the total cost is:

\(y=6.21x\)

check the total cost of 2 pounds of chicken breast at store B:

⇒ \(y=6.21(2)\)

since x represents the number of pounds.

⇒ \(y=12.42\)

at store the chicken breast of 2 pounds costs $\(11.84\).

⇒ cost difference at both stores for similar quantity:

⇒ \(12.42-11.84\)

\(=0.58\)

The cost of chicken per pound \(=0.58\) ÷ \(2\)

= $0.29

Hence the chicken breast at store B is $0.29 more expensive per pound than the chicken breast at store A.

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Answer:

The answer is below

Step-by-step explanation:

The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.

Firstly we have to convert the model length and width from inches to feet.

1 feet = 12 inches

model length =  1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.

model width =  1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.

Therefore:

Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8

Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8

Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²

Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²

Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64

Answer:

your friend is wrong

Step-by-step explanation:

There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.

If you look at the attached image, °d = °a + °c

A. True. On average, a person usually has between 15-30 acquaintances.

B. The exact number of acquaintances a person has can vary greatly, depending on the person’s lifestyle and social activities. Factors such as age, occupation, and geographic location can also play a role in the number of acquaintances one has.

Younger people tend to have more acquaintances than older people, since they are typically more active in their social circles. People who work in customer service and other occupations that involve direct contact with people often have a larger circle of acquaintances.

People who live in larger, more populous cities tend to have more acquaintances than those who live in rural areas. Acquaintances are also gained through activities such as volunteering, attending social gatherings, or joining clubs or organizations.

The more activities a person participates in, the more likely they are to gain more acquaintances. Acquaintances may also form from casual interactions with people, such as neighbors or store clerks. Acquaintances are typically not close friends, but people that the individual knows enough about to recognize them and exchange pleasantries.

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Complete question:

The average person usually has between 15 - 30 acquaintances.True or False.