Which of the following represents the factorization of the polynomial below? 2x² + 5x +3​

The number of degrees of freedom increases, the t-distribution becomes closer to the standard normal distribution, and the critical value of t approaches the value of 1.96, which is the critical value of z for a 95% confidence interval based on the standard normal distribution.

The critical value of t for a 95% confidence interval changes as the number of degrees of freedom increases in the following way:

As the number of degrees of freedom increases, the critical value of t decreases.

This is because the t-distribution becomes more concentrated around its mean of 0 as the number of degrees of freedom increases.

The t-distribution is a family of probability distributions that depend on the number of degrees of freedom.

The number of degrees of freedom is small, the t-distribution has more spread or variability, and the tails of the distribution are wider than the normal distribution.

The number of degrees of freedom increases, the t-distribution approaches the normal distribution, which has a fixed and known critical value for a given level of confidence.

If we consider a 95% confidence interval with 10 degrees of freedom, the critical value of t is approximately 2.228.

But if we increase the degrees of freedom to 50, the critical value of t decreases to approximately 2.009.

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Answer:

7.5 % Tax rate

Step-by-step explanation:

I used used the calculator to figure out the rate

$2,400 X 7.5%= 180

Answer:

A. 4

Step-by-step explanation:

B is the variable. C is not apart of the function. I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!

The correct answer is

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

Given that,

Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.

Because the samples of college and high school students are independent, the independent samples t-test should be utilized.

The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

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The proper null and alternative hypotheses are

\(H_{0}\) : μh = μc

\(H_{A}\) : μh - μc

The study's research wants to ascertain whether difference between the time spent by high school students and college students.

The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.

Let, H= time spent on the phone by high school students;

C= Time spent on the phone by college students; and

d=H−C

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0} :\) μh = μc  (time spent by high school students is equal to college students)

\(H_{A} :\) μh - μc  (difference between the time spent by high school students and college students)

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Step-by-step explanation:

I hope this helps........

y= 3x + 4

Slope: 3

y-intercept: (0,4)

y= -2x - 3

Slope: -2

y-intercept: (0,-3)

Answer:

x=-3

Step-by-step explanation:

owo

Answer:

3/11

3:11

Step-by-step explanation:

Answer:

3:11 or/and 3/11

Step-by-step explanation:

The system of equation line 1: y=-2x+4 and line 2: y=-2x has no solution.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the system of equation as;

line 1: y=-2x+4

line 2: y=-2x

Here we can put x = 1

Then;

y= -2(1) + 4

y = -2 + 4

y = 2

-2x=-2x+4

x = 0

Therefore, we can see that the system of equation has no solution.

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To determine the total grade we mutiply each one by the percentage it represents of the overall grade in decimal form and add them, that is:

Therefore, the overall grade is 69

Answer:

i think c if not im really sorry

Step-by-step explanation:

The function  that represents the relationship between x and y = 18/5 when x=24 is 3.6

In the event that y varies directly with x,

Therefore, it can also be written

y = k x

here

k = constant of proportionality.

In the case of evaluating the value of k,

we can utilize  y = 18/5 when x = 24

so,

18/5 = k x 24

Evaluating concerning k,

k = (18/5) / 24

= 0.15

here, the function that helps to present the relation between x and y

y = 0.15 x

hence,

when x = 24,

we place value in the previous expression

y = 0.15 x 24

= 3.6

The function  that represents the relationship between x and y = 18/5 when x=24 is 3.6

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The total distance Joshua walks every day is 4 miles (to school) + 4 miles (from school) + 5 miles (to the basketball court) = 13 miles, with the legs being the distance from school to the basketball court and the distance from school to Joshua's home.

Using the Pythagorean theorem, we can find the hypotenuse:

c² = a² + b²c²

= 4² + 5²c²

= 16 + 25c²

= 41c

≈ 6.4 miles

To the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court. The distance Joshua walks to school every day is 4 miles. The distance Joshua walks to the basketball courts on weekends is 5 miles. To find, The distance Joshua needs to walk to go directly from school to the basketball court. We can find the total distance Joshua walks every day using the given information: 4 miles to school + 4 miles from school + 5 miles to basketball courts = 13 miles.

To find the distance from school to the basketball court, we need to use the Pythagorean theorem. Joshua would need to walk the hypotenuse of a right triangle, with the legs being the distance from school to the basketball court and the distance from school to Joshua's home To the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court In this question, we need to calculate the distance between school and the basketball court. Firstly, Joshua walks 4 miles to school every day and 5 miles to the basketball court on weekends. Therefore, we can find the distance by the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court.

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Answer:

V= L x w x h

it is the correct answer

The surface area of the rectangular prism is 188 square units.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

Surface Area = 2lw + 2lh + 2wh

Where w is the width, h is height and l is length

From the diagram:

Length l = 7 units

Width w = 4 units

Height h = 6 units

Plug these values into the above formula and solve for the surface area.

Surface Area = 2lw + 2lh + 2wh

Surface Area = 2(7 × 4) + 2(7 × 6) + 2(4 × 6)

Simplifying the calculation:

Surface Area = 56 + 84 + 48

Surface Area = 188 square units

Therefore, the surface area equals 188 square units.

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In the case when ø21 and ø22 are unknown and can be assumed equal, we can calculate a pooled estimate of the population variance. This statement is True.

In the case where ø21 and ø22 are unknown and can be assumed equal, it is possible to calculate a pooled estimate of the population variance. This pooled estimate combines the sample variances from two groups or populations to obtain a more accurate estimate of the common variance. It assumes that the underlying variances in both groups are equal.

The pooled estimate of the population variance is calculated by taking a weighted average of the individual sample variances, with the weights determined by the sample sizes of the two groups. This pooled estimate is useful in various statistical analyses, such as t-tests or analysis of variance (ANOVA), where the assumption of equal variances is necessary.

However, it is important to note that the assumption of equal variances should be validated or tested before using the pooled estimate. If there is evidence to suggest unequal variances, alternative methods or adjustments may be necessary.

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Answer: A. 12x

Step-by-step explanation:

14x-(2x-y)-y

14x-2x+y-y

Simplify = 12x

The value of the given expression 3 x 2,746 is 8,238.

We are given the expression:-

3 x 2,746

We have to find the value of the given expression using place value.

According to the data given in the question, we can write,

In 2746,

The place value of 6 is 6

The place value of 4 is 4*10 = 40

The place value of 7 is 7*100 = 700

The place value of 2 is 2*1000 = 2000

Hence, we can write,

3*2746 = 3*2000 + 3*700 + 3*40 + 3*6 = 6000 + 2100 + 120 + 18 = 8,238.

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Changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.

What is function?

A relationship or expression involving one or more variables

The function g(x) = 6x^2 is a quadratic parent function, which means it is the simplest form of a quadratic function.

When we change the value of "a" in the general form of a quadratic function:

f(x) = ax^2 + bx + c

we change the shape of the graph of the function. Specifically, changing the value of "a" stretches or compresses the graph vertically, and changes the direction of the opening of the parabola.

If "a" is positive, the parabola opens upwards, and if "a" is negative, the parabola opens downwards. The larger the absolute value of "a", the more stretched or compressed the parabola becomes.

In the case of g(x) = 6x^2, "a" is positive and equal to 6, which means the graph is stretched vertically by a factor of 6 compared to the parent function. The parabola opens upwards and is narrower than the parent function.

If we were to change the value of "a" to a different positive value, for example "a" = 3, the graph would still open upwards but would be less stretched than g(x) = 6x^2. On the other hand, if we were to make "a" negative, for example "a" = -6, the graph would open downwards, and be a reflection of the graph of g(x) = 6x^2 about the x-axis.

In summary, changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.

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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:

- 7 / 9

Step-by-step explanation:

( x1, y1 ) = ( 10, 2 )

Here,

x1 = 10

y1 = 2

( x2, y2 ) = ( 1, 9 )

Here,

x2 = 1

y2 = 9

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 9 - 2 ) / ( 1 - 10 )

= 7 / - 9

Slope = - 7 / 9

Proper fraction = - 7 / 9

Answer:

Solution given:

\((x_1,y_1)=(10,2)\)

\((x_2,y_2)=(1,9)\)

now

slope [m]=\(\frac{y_2-y_1}{x_2-x_1}=\frac{9-2}{1-10}=\frac{7}{-9}\)

p=23

Is that what you needed?

Answer:

p+7 = 30

p = 23

Step-by-step explanation:

23+7 = 30

It is impossible for a triangle to have more than one right angle. If a triangle had two right angles, then the sum of these angles would be 180 degrees.

Let ABC be a triangle with two right angles, say at A and B. Then, we have:

Adding these two angles, we get:

But the sum of the angles of a triangle is 180°. Therefore, the third angle, ∠C, must be 0°, which is impossible. Hence, a triangle cannot have two right angles.

However, the sum of the angles of a triangle is always 180 degrees, so the third angle would have to be 0 degrees. This is impossible, as all angles of a triangle must be greater than 0 degrees. Therefore, a triangle can have at most one right angle.

In particular, there can be no triangle with three 90-degree angles (tri square), since such a triangle would have more than one right angle.

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The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

Your answer is B, the second one.

Step-by-step explanation:

The total number of possible combinations of numbers and letters on the license plates: 10 * 9 * 8 * 26 * 26 * 26

For the first number on the license plate, there are 10 options (0-9). For the second number, there are 10 options again, but since the numbers cannot be repeated, only 9 options are available. Similarly, for the third number, there are 10 options initially, but since the numbers cannot be repeated, only 8 options remain.

For the letters, there are 26 options for each position (first letter, second letter, and third letter) since all 26 letters of the alphabet can be used. The letters can be repeated, so there are no restrictions on the number of options for each letter.

To calculate the total number of different license plates, we multiply the number of options for each position together: 10 * 9 * 8 * 26 * 26 * 26. This gives us the total number of possible combinations of numbers and letters on the license plates.

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Answer:

I can help you!

Step-by-step explanation:

What do you need help with?

Answer:

1. 4(10+8) 40+32=72

2. 5(15*3-2) 5(45-2) 225-10=215

Step-by-step explanation:

A minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean, assuming a normal distribution of the number of words per sentence in the book and a population standard deviation of 4 words.

To determine the minimum sample size needed to be 95% confident that the sample mean is within 2 words of the true population mean, we can use the formula for the margin of error:

Margin of error = z * (standard deviation / sqrt(n))

Where z is the z-score for the desired confidence level, standard deviation is the population standard deviation (given as 4 words), and n is the sample size.

We want the margin of error to be no more than 2 words, so we can set up the inequality:

z * (4 / √n) ≤ 2

To find the value of z for 95% confidence level, we can use a z-table or calculator and find that z = 1.96.

Substituting this value into the inequality and solving for n, we get:

1.96 * (4 / √n) ≤ 2

Simplifying and solving for n, we get:

n >= 61.05

Since we can't have a fractional sample size, we can round up to the nearest whole number and conclude that a minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean.

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