I need some help with this question.

Answer:

2<y<6

Step-by-step explanation:

12 < 8y-y^2

y^2 -8y +12 <0

(y-6)(y-2)<0

y < 6

y < 2

 2.       6

-       -        +

-       +.       +

+.      -         +

2<y<6

The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

Learn more about Polynomials from the given link:

https://brainly.com/question/29638766

#SPJ1

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

Learn more about reagents

brainly.com/question/28504619

#SPJ11

Probability that this person went to the west campus is 4.5%.

Let's denote the event "East Campus" as E and the event "West Campus" as W.

We are given the following probabilities:

P(E) = 2P(W) (The person is twice as likely to go to the East Campus than the West Campus)

P(E ∩ 1 bakery open) = 1/6 (Probability of being in East Campus and 1 bakery open)

P(W ∩ 1 bakery open) = 1/6 (Probability of being in West Campus and 1 bakery open)

We want to find P(W | 1 bakery open), which represents the probability that the person went to the West Campus given that there was exactly 1 bakery open on the side they went to.

We can use Bayes' theorem to calculate this probability:

P(W | 1 bakery open) = (P(W) * P(1 bakery open | W)) / P(1 bakery open)

First, let's calculate P(1 bakery open):

P(1 bakery open) = P(E ∩ 1 bakery open) + P(W ∩ 1 bakery open)

= 1/6 + 1/6

= 1/3

Next, let's calculate P(W):

Since P(E) = 2P(W), we have P(W) = P(E) / 2 = 0.3 / 2 = 0.15

Finally, let's calculate P(1 bakery open | W):

P(1 bakery open | W) = P(W ∩ 1 bakery open) / P(W)

= (1/6) / (0.15)

= 1/10

Now, we can substitute these values into Bayes' theorem:

P(W | 1 bakery open) = (0.15 * (1/10)) / (1/3)

= (0.15 * 1/10) * (3/1)

= 0.015 * 3

= 0.045

Therefore, the probability that the person went to the West Campus given that there was exactly 1 bakery open on the side they went to is 0.045 or 4.5%.

To know more about probability click on below link :

https://brainly.com/question/30398129#

#SPJ11

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

Answer:

\(y = \frac{5}{3} x - 5\)

Step-by-step explanation:

To write an equation in the slope-intercept form, we need the slope (which can also be calculated) and at least a coordinate.

What is slope-intercept form?

x- intercept occurs at y= 0 while y-intercept occurs at x= 0. With this information, let's write out the two coordinates given.

With two coordinates, we can calculate the slope using the equation below.

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

\(slope = \frac{ - 5 - 0}{0 - 3} \)

\(slope = \frac{ - 5}{ - 3} \)

\(slope = \frac{5}{3} \)

Substitute the value of the slope into m in the equation.

\(y = \frac{5}{3} x + c\)

Given that the y-intercept is -5, c= -5.

\(y = \frac{5}{3} x - 5\)

There is no element a in the prime field of order,GF(5^n) with a² = 2 when n is odd. Therefore, 2 is not a square in GF(5^n) for odd n.

To prove that 2 is not a square in GF(5^n) when n is odd, we can use proof by contradiction. Suppose there exists an element an in GF(5^n) such that a² = 2. We can write an as a polynomial in GF(5)[x], where the coefficients are elements of GF(5). Since a² = 2, we have (a² - 2) = 0.

Now, consider the field GF(5^n) as an extension of GF(5). The polynomial x² - 2 is irreducible over GF(5) because 2 is not a quadratic residue modulo 5. Therefore, if a² = 2, it implies that x² - 2 has a root in GF(5^n).

However, this contradicts the fact that the degree of GF(5^n) over GF(5) is odd. By the degree extension formula, the degree of GF(5^n) over GF(5) is equal to the degree of the irreducible polynomial that defines the extension, which is n. Since n is odd, the degree of GF(5^n) is also odd.

Hence, we have reached a contradiction, proving that there is no element a in GF(5^n) with a² = 2 when n is odd. Therefore, 2 is not a square in GF(5^n) for odd n.

To know more about prime field of order, refer here :

https://brainly.com/question/32701519#

#SPJ11

Answer:

8$

Step-by-step explanation:

The discounted price of 12 cups of coffee is 41 dollars.

The function relating the number of cups of coffee purchased is :

A(x) = 5 + 3x

Where x = number cups of coffee purchased

$5 = constant monthly fee

$3 = discounted price of coffee

Therefore, 12 cups of coffee will cost :

A(12) = 5 + 3(12)

A(12) = 5 + 36

A(12) = 41

Hence, price of 12 cups of coffee is $41

Learn more : https://brainly.com/question/2610134

In a two-way ANOVA, the sum of squares can be calculated for each of the factors and their interaction. The sum of squares for each factor represents the variation in the dependent variable that can be attributed to that particular factor. Therefore, the sum of squares for a two-way ANOVA can be found by calculating the sum of squares for each factor and their interaction.

To find the sum of squares for a two-way ANOVA, follow these steps:

Calculate the grand mean, which is the overall mean of the dependent variable.

Calculate the sum of squares for each factor. This can be done by calculating the sum of the squared deviations of each level of the factor from the grand mean, and then summing these squared deviations across all levels of the factor. The sum of squares for factor A (SSA) and factor B (SSB) can be calculated as follows:

SSA = Σ(∑Xij – (∑Xj/n))^2 / (r * n)

SSB = Σ(∑Xij – (∑Xi/n))^2 / (c * n)

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, n is the total number of observations, r is the number of levels for factor A, and c is the number of levels for factor B.

Calculate the sum of squares for the interaction between factor A and B (SSAB) by summing the squared deviations of each cell mean from the corresponding row mean, column mean, and grand mean, and then summing these squared deviations across all cells. The formula for SSAB is as follows:

SSAB = ΣΣ(Xij – Xi – Xj + X)^2 / ((r-1) * (c-1))

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, Xi is the mean of the ith level of factor A, Xj is the mean of the jth level of factor B, and X is the grand mean.

Calculate the residual sum of squares (SSE) by subtracting the sum of squares for factor A, factor B, and their interaction from the total sum of squares (SSTO):

SSE = SSTO – SSA – SSB – SSAB

Verify that the sum of squares for each factor and their interaction, plus the residual sum of squares, equals the total sum of squares:

SSTO = SSA + SSB + SSAB + SSE

Therefore, to find the sum of squares in a two-way ANOVA, calculate the sum of squares for each factor and their interaction, and the residual sum of squares using the above steps.

To learn more about two-way ANOVA here:

brainly.com/question/23638404#

#SPJ11

Answer:

8 boys left and10 girls left

Step-by-step explanation:

Answer:

two boys out of 10 boys = 2/10

two boys out of the whole classroom of girls and boys = 2/20

hope this helps!

god bless your heart!

Have a wonderful day! <3333

Step-by-step explanation:

Answer:

I don't know if you're serious but its 50%.

Step-by-step explanation:

Its really simple, 48/24=2 meaning that 24*2=48 and means that 24 is half of 48 making it 50%.

Answer:

Step-by-step explanation:

The total amount of money raised from selling notebooks is 60 notebooks * $1.50/notebook = $<<60*1.5=90>>90.

The total amount of money raised from selling T-shirts is $250 - $90 = $<<250-90=160>>160.

The number of T-shirts needed to reach the goal is $160 / $10/T-shirt = <<160/10=16>>16 T-shirts.

The inequality is 16 T-shirts * $10/T-shirt >= $250.

Simplifying, we get $160 >= $250.

This inequality is not true, so the school store needs to sell more than 16 T-shirts to reach their goal.

Answer:

4(8)(12)

384 is your answer ☺️

Answer:

No

Step-by-step explanation:

When \(x=2\), \(y=-6(2)=-12\), not \(4\).

The probability that a selected individual's height will be less than 45 inches is approximately 0.0228.

We can use the normal distribution to find the probability that a selected individual's height will be less than 45 inches. We'll need to first calculate the z-score for a height of 45 inches, and then use a standard normal distribution table or calculator to find the corresponding probability.

The formula for calculating the z-score is:

z = (x - μ) / σ

Where x is the height we're interested in, μ is the population mean (given as 53 inches), and σ is the population standard deviation (given as 4 inches).

Plugging in the values, we get:

z = (45 - 53) / 4 = -2

Now, we can use a standard normal distribution table or calculator to find the probability of a z-score less than -2. Using a table, we find that the probability is approximately 0.0228.

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = \(\frac{1}{3}\) πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

\(\frac{1}{3}\)π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = \(\frac{678}{113.04}\) ≈ 6 m ( to the nearest metre )

Okay, let's solve this step-by-step:

* The box is shaped like a rectangular prism

* It has dimensions:

** 18.5 inches long

** 32 inches wide

** 12.2 inches deep

To find the volume of a rectangular prism, we use the formula:

Volume = Length x Width x Depth

So in this case:

Volume = 18.5 inches x 32 inches x 12.2 inches

= 18.5 * 32 * 12.2

= 5796 cubic inches

Therefore, the volume of the box is 5796 cubic inches.

Let me know if you need more details!

Match the Data Visualisation terms as follows:

1. Numpy: Working with arrays and matrices.

2. Bar chart: Representing categorical data with rectangular bars.

3. Pip: Package installer for Python.

4. S: Statistical library for Python.

The following are the meanings of the given terms:

To know more about Data Visualisation, visit:

https://brainly.com/question/30156043

#SPJ11

Answer:

20×5=100

380-100=280

280÷120=2 and 40 remain

40÷20=2

Step-by-step explanation:

I don't see all the options.

I only see the options under "angles", as it seems.

anyway, the way to prove this is :

the official definition of similar triangles is :

two triangles are said to be similar if their corresponding angles are congruent (and the corresponding sides are in proportion - but that is automatically true, when all 3 angles are matching).

so, if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. we know this, because if two angle pairs are the same, then the third pair must also be equal (remember, the sum of all angles in a triangle is always 180°). When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

now, we look at the 2 triangles.

the angles QPR and STR are congruent (the same size).

we know also the angles QRP and SRT : they are both 90° and therefore congruent.

and that means that also the third angles PQR and RST are equal and therefore congruent (due to the 180° sum rule).

so, we have all 3 pairs of angles to be congruent, and the two triangles are therefore similar.

Answer:

I ca

Step-by-step explanation:

can't type so the first one.

The expected money deposited in Clarie's account in next 12 months is listed below:

First, we must derive a formula that will generate the geometric sequence for the money remaining in Clarie's account:

\(c = c_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}\)     (1)

Where:

If we know that \(c_{o} = 300\) and r = - 50, then the money left for each month is shown in the image attached below.

The image quality is poor to the point of being very hard to read. However, it coincides with the complete statement, which is presented in the question.

To learn more on geometric series: https://brainly.com/question/4617980

#SPJ1

Answer:

-8

Step-by-step explanation:

-21-(-13)

=-21+13

=-8 is the answer......

Answer:

\(-8\)

Step-by-step explanation:

\(-21 - (-13)\)is the same as \(-21+13\), so the answer is \(-8\).

Answer:

The maximum height that the stone reaches is of 26 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, y_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

\(y_{v} = -\frac{\Delta}{4a}\)

Where

\(\Delta = b^2-4ac\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).

y = -2x2 + 8x + 5

Quadratic function with \(a = -2, b = 8, c = 5\)

What is the maximum height that the stone reaches?

y value of the vertex. So

\(\Delta = 8^2-4(-2)(5) = 64 + 40 = 104\)

\(y_{v} = -\frac{104}{4(-2)} = 26\)

The maximum height that the stone reaches is of 26 feet.

Answer:

Step-by-step explanation:

The question is

There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?

Givens

Let's transform 48 dag to kilograms.

\(48dag \times \frac{1kg}{100dag}= 0.48 \ kg\)

Therefore, the first costumer bought 0.48 kilograms of candies.

The remaining amount is: \(11.73kg-0.48kg=11.25kg\)

Now, we need to multiply the remaining amount of candies with 4/5

\(\frac{4}{5} \times 11.25kg=9 \ kg\)

Therefore, the second costumer bought 9 kilograms of chocolate candies.

At last, we need to find the new remaining part of candies, which is

\(11.25-9=2.25 \ kg\)

Therefore, the last costumers got 2.25 kilograms of chocolate candies.

Answer:

15

Step-by-step explanation:

sucks to suck

The slope of the line that passes through the given points (2 12) and (6 11) is  -1/4.

Two points are given: (2, 12), (6, 11).

A line's "steepness" is quantified by a quantity called the slope, which is typically represented by the letter m. It is the adjustment of y for a unit adjustment of x.

We are aware that the formula for the slope of a line using two points is

m= y2 - y1 /x2 - x1

In this instance, x1 = 2, Y1 = 12, X2 = 6, Y2 = 11.

m = 11 - 12 / 6 - 2

m = -1/4

The slope is therefore -1/4.

To know more about  the Slope of a line

brainly.com/question/29775018?referrer=searchResults