Write an
equation of a line in slope-intercept form with the given slope and y-intercept.

slope: -2.5, y-intercept: 3.5

The cost of ordering shirts for a club is 268 units.

Define Function.

A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.

 This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).

The statement that f is a function from X to Y using the function notation f: X→Y

The function that represents the cost of the shirts(x) is f(x) = 8x+12

Now, for x = 32

 f(x) = 8x+12

f(32) = 8(32) + 12

        = 256 +12

f(32) = 268 units

.

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Answer:

The perimeter is 12mm

Step-by-step explanation:

Plug 2 for s in P=6s so 6*2=12

Answer:

Step-by-step explanation:

The inequality is x > 45.

This is so because the dot is not shaded which tells us that the value of x is not equal to 45.

Also, the direction of the arrow is going to the right on the positive side of the number line which means it's greater than 45.

Lisa's situation could be represented by just reversing the arrow on the above graph.

Hope this helps! :)

A primary difference between how B cells recognize antigens and how T cells recognize antigens is that B cells directly bind to the antigen, whereas T cells recognize antigens only when they are presented on the surface of antigen-presenting cells (APCs) in the context of major histocompatibility complex (MHC) molecules.

Here's a step-by-step explanation of this difference:

1. B cells have B cell receptors (BCRs) on their surface that can directly bind to the specific antigen. This binding leads to B cell activation, proliferation, and differentiation into plasma cells that produce antibodies specific to that antigen.

2. T cells, on the other hand, have T cell receptors (TCRs) on their surface that do not directly recognize free antigens. Instead, they recognize small fragments of antigens (peptides) that are presented on the surface of APCs, such as dendritic cells, macrophages, and B cells.

3. The antigens are processed inside the APCs into smaller peptides, which then bind to MHC molecules. There are two types of MHC molecules:

MHC class I and MHC class II. MHC class I molecules present antigens to CD8+ T cells (also called cytotoxic T cells), while MHC class II molecules present antigens to CD4+ T cells (also called helper T cells).

4. The TCR of a T cell recognizes the specific peptide-MHC complex on the surface of an APC, leading to T cell activation, proliferation, and differentiation into effector T cells that help in eliminating the pathogen or infected cells.

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Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x \(\leq\)

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x \(\leq\) $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x \(\leq\) 400

Step-by-step explanation:

See image

Answer:

First, find the answer for 36 ÷ 4. Which is 9.

Now calculate each expression until you get the answer of 9.

4 ÷ 36 = 4 * 1/36 = 4/36 = 1/9

36 ÷ 1/4 = 36 * 4 = 144

1/36 * 1/4 = 1/144

36 * 1/4 = 36/4 = 9

So, the last option is the answer. D. 36 * 1/4.

Answer:

35 1/3 I believe

Step-by-step explanation:

36 divided by 4/6 and you 35 1/3

Answer:2.5 cups

Step-by-step explanation:

Given

Rosanne runs 6 miles in an hour

If she drinks 0.5 cups of water every  \(\frac{1}{3}\)  of an hour

So in 1 hour Rosanne drinks 1.5 cups

So, for 6 miles Rosanne drinks 1.5 cups

i.e. For   \(1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}\)

for    \(10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}\)

\(=2.5\ \text{cup}\)

Answer:

2.5

Step-by-step explanation:

1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)

1) Shape of sample mean is bell shaped, it is approximately normal distributed. is the shape of this sampling distribution of mean of number hours spent on social media.

2) 4.3 is the mean of the sampling distribution of mean. That is the mean of all means of all samples of size 81.

3) 0.2 is the standard deviation of the sampling distribution.

4) Let's suppose one sample of 81 students gave the mean of 5.0 hours per day on social media. Since, z score is greater than 2 ,so it is unusual.

5) If the sample size were 36, 0.3 would the standard deviation of the sampling distribution be.

Here, we have,

given

Mean= 4.3

Standard deviation = 1.8

we have,

1)

According to central limit theorem

Shape of sample mean is bell shaped, it is approximately normal distributed.

2)

Mean of sample mean = population mean = 4.3

3)

Standard deviation of sample mean is:

s/√n

=1.8/9

=0.2

According to central limit theorem

Sample mean ~N(u,s/√n )

4)

Mean = 5

Sample mean ~ N(4.3,0.2)

Now ,

Z score for given sample mean = 3.5

Since, z score is greater than 2 ,so it is unusual.

5)

n=36

Standard deviation is:

s/√n

=1.8/6

=0.3

6)

Left tailed test, t test , df =30-1 =29

use excel or t table

Option b is correct.

Excel output is given

p value is 0.020014

Formula used is:

T.DIST(-2.15,30-1,TRUE)

we get,

unusual if z score is |z|>2

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Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

will you be my friend

Step-by-step explanation:

.......... okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

as per my nowledge ans wud be b

as A means difference of highest and lowest

C means value appearing frequently

D means middle number or ascending or descending sequence

beainliest plz

Answer:

b

i dont want brainlist

Step-by-step explanation:

Answer:

33 degrees.

Step-by-step explanation: Half of a circle is 180 degrees. If we view the half of circle with angle C on it we can see the other part of the half of circle is 147 degrees. Since we know half a circle is 180 degrees, we subtract our known variable from 180 to get our unknown angle C, 33 degrees.

Answer:

Here,

D(1,2)

Now,

(X+1 , y-3)

D' (1+1 , 2-3)

D'( 2, -1)

Hope this helps...

Good luck on your assignment..

I'll answer the other three just in case :)

original : A = ( -6 , 2 )

formula : ( x+1 , y-3 )

( -6 + 1 ) , ( 2 - 3 )

A = ( -5 , -1 )

_________________

original : B = ( -5 , 4 )

formula : ( x+1 , y-3 )

( -5 + 1 ) , ( 4 - 3 )

B = ( -4 , 1 )

_________________

original : C = ( -2 , 4 )

formula : ( x+1 , y-3 )

( -2 + 1 ) , ( 4 - 3 )

C = ( -1 , 1 )

The probability that at least one of them has been vaccinated is 0.9552

Probability:

Probability defines the possible occurrence of any particular required event.

Given,

Here we need to find in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated.

Here we have to know that,

The situation where at least one out of 4 are vaccinated includes all but one possibility, that which none of the 4 are vaccinated.

The sum of all probabilities must equal 1.

Let Q be probability none of the 4 are vaccinated.

Let P be probability that at least 1 is vaccinated.

Then the probability is calculated as,

P = 1 - Q

Now if 54% are vaccinated, then 46% are not vaccinated.

Thus any given person has a probability of 0.46 of not being vaccinated.

=> Q = (0.46)⁴

=> Q = 0.0448

Then apply the value to the formula,

=> P = 1 - 0.0448

=> P = 0.9552

Therefore, the probability that at least one of them has been vaccinated 0.9552.

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Answer:

-2 ft/min

Step-by-step explanation:

If Kim dropped for a total of 8 feet over the course of 4 minutes, then 8 feet/4 min equals 2 ft/min, but because they are dropping it should be negative.

c. False. It is not appropriate to compare two means at a same time with the way described above. This would remove the overall Type I Error is a 'Multiple Testing' problem.

The one-way ANOVA controls for the Type I Error and should be used instead. When comparing multiple means, conducting multiple independent two-sample t-tests is not recommended because the probability of committing a Type I error increases with each additional test, leading to an inflated overall Type I error rate.

ANOVA is a better method for comparing means when there are more than two groups as it compares all means simultaneously and controls for Type I error.

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A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.

Using a base year,the formula to calculate the Real GDP is given below:

Real GDP = Nominal GDP ÷ Deflator (in decimal)

Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100

Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000

Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,

Deflator for the year 2017 can be calculated as:

Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100

Similarly, Deflator for the year 2019 can be calculated as:

Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25

Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.

Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.

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Answer:

10 weeks

In 10 weeks, they will have the same amount of cards.

Step-by-step explanation:

150+10x=200+5x

5x=50

x=10

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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I'm going to only focus on part B

If 'a' and 'b' are rational numbers, then

where p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.

The perimeter of this rectangle is

P = 2*(length+width)

P = 2*(a+b)

P = 2*(p/q + r/s)

P = 2*(ps/qs + qr/qs)

P = 2*( (ps+qr)/qs )

P = (2ps+2qr)/qs

P = integer/integer = some rational number

We see that the perimeter P is rational if and only if 'a' and 'b' are rational.

From this, notice that the area is

area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)

Showing that the area is also rational.

If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.

There is no way to have a rational perimeter but an irrational area.

The required values are A = 1, B = 0, and C = 8 because the equation for the thrown ball's path will be x = 8.

Let the vertical line be the y-axis and the horizontal line be the x-axis, the ball is thrown from a place that is parallel to the y-axis (8,0).

Because the house is the starting point and the ball is thrown from a position 8 feet to the right of the house,

As a result, the equation for the thrown ball's path will be x = 8.

Therefore, A = 1, B = 0 and C = 8.

Hence, the required values are A = 1, B = 0, and C = 8 because the equation for the thrown ball's path will be x = 8.

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Answer: it is 114.99

Step-by-step explanation:

Answer:114.99

Step-by-step explanation:

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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The mistake in the table is that the responses for the seniors are reversed.

To identify the mistake in the table, we can compare the given data with the table entries. The table represents the number of juniors and seniors who plan to attend or not attend the school dance.

According to the given information, 94 out of 130 juniors plan to attend. This means that the number of juniors attending is correctly stated as 94. However, the table incorrectly shows 36 juniors not attending.

The correct number of juniors not attending can be calculated by subtracting the number of juniors attending from the total number of juniors: 130 - 94 = 36. Therefore, option (b) is not the correct answer.

Similarly, the number of seniors not planning to attend is given as 12 out of 140. However, the table shows 128 seniors not attending. This indicates that the responses for the seniors are reversed. The correct number of seniors not attending can be calculated by subtracting the number of seniors attending from the total number of seniors: 140 - 12 = 128. Therefore, option (a) is the correct answer.

In conclusion, the mistake in the table is that the responses for the seniors are reversed. The number of juniors not attending and the total for the number of seniors are correct as per the given information.

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Answer:

45

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide both side by 13

x = 14

m<X = 2x + 17 replace x with 14

2*14 + 17 = 45

The true size of a block with a nominal size of 6x4x16 may vary. The nominal size refers to the intended dimensions, but the actual size can differ due to manufacturing tolerances and other factors.

The nominal size of 6x4x16 indicates the intended dimensions of the block, with a length of 16 units, width of 6 units, and height of 4 units. However, the true size of the block can vary from the nominal size due to manufacturing tolerances and other factors.

Manufacturing processes may introduce slight variations in the actual dimensions of the block. These variations are commonly referred to as tolerances. Tolerances account for potential deviations from the intended dimensions and are necessary to accommodate practical considerations during manufacturing.

Therefore, without specific information on the tolerances or manufacturing specifications, it is not possible to determine the true size of a block with a nominal size of 6x4x16. The true size can vary within an acceptable range based on manufacturing tolerances and other factors.

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