Identify the polygon and classify it as regular or irregular.

Answer:

The required expression is:

2Y² - 4Y + 5

Step-by-step explanation:

Given the expression:

(Y² + 5Y - 1) + (3Y² - 2Y + 4)

= 4Y² + 3Y + 3

Subtracting (2Y² - 4Y + 5), we have

2Y² + 7Y - 2

Therefore, the expression:

2Y² - 4Y + 5

must be subtracted from the expression:

(Y² + 5Y - 1) + (3Y² - 2Y + 4)

to give the expression:

2Y² + 7Y - 2

Answer:

playstation

Step-by-step explanation:

literally everybody owns one lol

Answer:

well i have both

Step-by-step explanation:

heres some pros and cons

PS4 or Xbox One: which one will you choose?  

Both Microsoft and Sony's current generation of gaming consoles inspire fierce loyalty from their respective camps. This means, if you're not already Team PlayStation or Team Xbox, it can be difficult to make a decision between the two.  

To help you make the impossible choice between Microsoft and Sony's current offerings, we've made a comprehensive list of all the key differences – as well as the similarities – to keep in mind when buying an Xbox One or PS4.

There's certainly no doubt that the PlayStation 4 has taken the lead in sales, but both have their pros and cons – and the mid-gen refresh has certainly given us a lot more to think about when weighing those up.

Answer:

  108

Step-by-step explanation:

"At this rate, ..." means we're to assume Nancy's score is proportional to the number of holes:

  score/18 = 24/4

Multiplying by 18, we get ...

  score = 18(24/4) = 18(6) = 108

Nancy can expect a score of 108 on 18 holes.

Answer:

25

Step-by-step explanation:

Answer:

The cash  paid to the bondholder on July 1 is    Z =  $7000

Step-by-step explanation:

From the question we are told that

  The percentage bond issued by the company is [tex]n = 7[/tex]%

    The par value of the bond is [tex]V =[/tex]$200,000

     The market rate is [tex]r = 6[/tex]%

So we are told that the bonds pay interest semiannually on January 1 and July

So the cash  paid to the bondholder on July 1 is mathematically evaluated as

Z =  [tex]V * \frac{7}{100} * \frac{1}{2}[/tex]        

substituting value

   Z =  [tex]200000 * \frac{7}{100} * \frac{1}{2}[/tex]  

      Z =  $7000

Final answer:

The cash paid on July 1 to bondholders for the company's 7% bonds with a par value of $200,000 is $7,000. This is calculated by first determining the annual interest payment and then dividing by two for the semiannual payment.

Explanation:

Understanding Bond Interest Payments

The question revolves around how much cash is paid to bondholders on July 1 for a company that issued 7% bonds with a par value of $200,000 at par when the market rate was 6%. Since the bonds were issued at par, this implies that the bond's stated interest rate matches the market interest rate at the time of issuance. However, the market rate later does not affect the fixed payments of a bond issued at par.

The interest payment for this bond would be calculated using the face value and the stated annual interest rate, which is then divided by two since interest is paid semiannually. The calculation is as follows:

Therefore, the cash paid on July 1 to the bond holder(s) is $7,000.

Answer:

5s = 85

Step-by-step explanation:

Perimeter of our triangle = DE + EF + DF = 81 units

We know from the question that

The length of side DE is twice the length of side EF

DE = 2EF

and the length of side DF is 4 units less than the length of side DE

DF = DE - 4

We can replace EF with s in our equations

DE = 2s

And now we can replace DE from the other equation

DF = DE - 4

DF = 2s - 4

If the perimeter of our triangle = DE + EF + DF = 81 units

We will replace the sides with our new values

Perimeter = 2s + s + 2s - 4 = 81

We can put this as our answer, or we can simplify further

Simplify by adding 4 to both sides

2s + s + 2s - 4 + 4 = 81 + 4

Simplify

2s + s + 2s = 85

Simplify

5s = 85

Since the question only asked for an equation, not for us to solve it, we can stop here

(If you wanted to solve for s, just divide both sides by 5)

5s / 5 = 85 / 5

s = 17

Answer:

81 = s + 2s + (2s -4)

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

Final answer:

Using the empirical rule for normal distribution, approximately 68% of the boys at the all boys school with a mean height of 70 inches and a standard deviation of 5 inches are between 65 and 75 inches tall.

Explanation:

According to the empirical rule (also known as the 68-95-99.7 rule), for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

About 95% of the data falls within two standard deviations of the mean.

And around 99.7% falls within three standard deviations of the mean.

In the case of the all boys school with a mean height of 70 inches and standard deviation of 5 inches, the range between 65 inches (70 - 5) and 75 inches (70 + 5) represents one standard deviation from the mean on either side. Thus, using the empirical rule, approximately 68% of the boys are between 65 and 75 inches tall.

Answer:

The 98% confidence interval = (-0.14,  -0.056)

Explanations:

From the calculations done in the file attached to this solution

Proportions of Americans that considered the application risky = 0.524

Proportions of Americans that did not considerthe application risky = 0.476

Proportions of Europeans that considered the application risky = 0.622

Proportions of Europeans that did not consider the application risky = 0.377

Standard error of the sample proportion using the formula written in the attached file = 0.018

The 98% confidence interval is also calculated as in the attached file and gotten as (-0.14, -0.056)

Answer:

6 - c </= 20

Step-by-step explanation:

Answer:

if a= (1/27)^2  + 3, then  a is about  3.00137

Step-by-step explanation:

I assume you have a typo here.

Your equation should be   a = (1/27)^2  + 3 ...

If that is so,    a =  (1/27)^2 + 3 =  3.00137...

To evaluate f(0) without using a calculator, simply substitute x with 0 in the function f(x) = 3x - 3 to get f(0) = -3.

A mathematical function is a relationship between a set of inputs (domain) and corresponding outputs (range) such that each input is associated with exactly one output. It is a rule or process that assigns a unique value to each input. Functions are fundamental in expressing and analyzing mathematical relationships.

To evaluate f(0) without using a calculator, we can simply replace x with 0 in the given function f(x) = 3x - 3.

Therefore, f(0) = 3(0) - 3 = 0 - 3 = -3.

So, f(0) = -3.

Answer:

1. Where are the vertical asymptotes on the graph of the secant function?

choice A: x = π /2 + nπ

2. The range of the secant function is

answer:  y ≤  -1  or y ≥  1

3. What is the period of the secant function?

Choice C : 2π

Step-by-step explanation:

there are 3 questions on this page.

correct on edge

The range of secant is  y ≤  -1  or y ≥  1.

The range of a function is the set of its possible output values.

As we know the vertical asymptotes of the secant function

x = π /2 + nπ

and, The range of the secant function is

 y ≤  -1  or y ≥  1

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Complete question:

What are the x- and y- coordinates of point E, which partitions the directed line segment from [tex]A\:(- 4,\:9) \:to\: B\:(2,\:- 3)[/tex] into a ratio of 1 : 2.

Answer:

(C) (-2,5)

Step-by-step explanation:

[tex]x = (\dfrac{m}{m+n}) (x_2-x_1) + x_1\\\\y = (\dfrac{m}{m+n}) (y_2-y_1) + y_1[/tex]

[tex](x_1,y_1)=(- 4,\:9),(x_2,y_2)=B\:(2,\:- 3)[/tex]

m=1, n=2

[tex]x = \left(\dfrac{1}{1+2}\right) (2-(-4)) + (-4)\\=\left(\dfrac{1}{3}\right) (2+4)-4\\=\left(\dfrac{6}{3}\right)-4=2-4\\x=-2[/tex]

[tex]y = \left(\dfrac{1}{1+2}\right) (-3-9) + 9\\=\left(\dfrac{1}{3}\right) (-12)+9\\=\left(-\dfrac{12}{3}\right)+9=-4+9\\y=5[/tex]

The x- and y-coordinates of the point E is (-2,5)

Answer:

A. The positive y-intercept.

D. The y-intercept is negative.

Step-by-step explanation:

The proportional relationship is defined by the graph passing through the origin i.e. the y-intercept is equal to zero.

The equation of y proportional to x relationship is y = kx, which again denotes that the graph passes through the origin (0,0).

Now, the statements that can describe the graph of a non-proportional relationship are  

A. The positive y-intercept.

D. The y-intercept is negative. (Answer)

The statements that could describe the graph of a nonproportional relationship include:

It should be noted that the proportional relationship is defined by the graph passing through the origin. The equation of y proportional to x relationship is y = kx.

From the information given, the relationship shows that the positive y-intercept and the y-intercept is negative.

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Answer:

Given:

Sample size, n = 20

Significance level = 5% = 0.05

Mean, u = 8

Here, the sample mean was not given.

Here the null and alternative hypothesis will be:

H0 : u = 8

H1 : u < 8

In this case, since there is no evidence to reject the null hypothesis, H0, at 0.05 level of significance, we can say that the p-value is greater than the level of significance, 0.05.

Answer:

B. 0.132

Step-by-step explanation:

For each time the dice is thrown, there are only two possible outcomes. Either it lands on a five, or it does not. The probability of a throw landing on a five is independent of other throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Timothy creates a game in which the player rolls 4 dice.

This means that [tex]n = 4[/tex]

The dice can land in 6 numbers, one of which is 5.

This means that [tex]p = \frac{1}{6}[/tex]

What is the probability in this game of having exactly two dice or more land on a five?

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{2} = 0.116[/tex]

[tex]P(X = 3) = C_{4,2}.(\frac{1}{6})^{3}.(\frac{5}{6})^{1} = 0.015[/tex]

[tex]P(X = 4) = C_{4,4}.(\frac{1}{6})^{4}.(\frac{5}{6})^{0} = 0.001[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.116 + 0.015 + 0.001 = 0.132[/tex]

So the correct answer is:

B. 0.132

The probability of having exactly two dice or more land on a five is: 0.132.

To determine the probability of having exactly two dice or more land on a five when rolling four dice, we first need to calculate the probabilities of each possible outcome involving getting at least two fives.

1: Define the basic probabilities
Each die has 6 faces, so the probability ( p ) of rolling a five on a single die is:
[tex]\[ p = \frac{1}{6} \]The probability \( q \) of not rolling a five on a single die is:\[ q = 1 - p = \frac{5}{6} \][/tex]
2: Define the number of dice rolls
We are rolling 4 dice.

3: Calculate probabilities for 0, 1, 2, 3, and 4 fives
We use the binomial distribution formula:
[tex]\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]where \( n = 4 \), \( p = \frac{1}{6} \), and \( k \)[/tex] is the number of fives rolled.
Probability of rolling exactly 0 fives (\( k = 0 \)):
[tex]\[ P(X = 0) = \binom{4}{0} \left(\frac{1}{6}\right)^0 \left(\frac{5}{6}\right)^4 = 1 \times 1 \times \left(\frac{5}{6}\right)^4 = \left(\frac{5}{6}\right)^4 \][/tex]
Probability of rolling exactly 1 five (\( k = 1 \)):
[tex]\[ P(X = 1) = \binom{4}{1} \left(\frac{1}{6}\right)^1 \left(\frac{5}{6}\right)^3 = 4 \times \frac{1}{6} \times \left(\frac{5}{6}\right)^3 \]Probability of rolling exactly 2 fives (\( k = 2 \)):\[ P(X = 2) = \binom{4}{2} \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right)^2 = 6 \times \left(\frac{1}{6}\right)^2 \times \left(\frac{5}{6}\right)^2 \][/tex]
[tex]Probability of rolling exactly 3 fives (\( k = 3 \)):\[ P(X = 4) = \binom{4}{4} \left(\frac{1}{6}\right)^4 \left(\frac{5}{6}\right)^0 = 1 \times \left(\frac{1}{6}\right)^4 \times 1 \])^1 \]Probability of rolling exactly 4 fives (\( k = 4 \)):[/tex]
[tex]\[ P(X = 4) = \binom{4}{4} \left(\frac{1}{6}\right)^4 \left(\frac{5}{6}\right)^0 = 1 \times \left(\frac{1}{6}\right)^4 \times 1 \][/tex]
4: Sum probabilities for \( k \geq 2 \)
We need to find \( P(X \geq 2) \), which is:
[tex]\[ P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) \][/tex]
5: Perform calculations
[tex]\[P(X = 0) = \left(\frac{5}{6}\right)^4 \approx 0.4823\]\[P(X = 1) = 4 \times \frac{1}{6} \times \left(\frac{5}{6}\right)^3 = 4 \times \frac{1}{6} \times \left(\frac{125}{216}\right) \approx 0.3858\]\[P(X = 2) = 6 \times \left(\frac{1}{6}\right)^2 \times \left(\frac{5}{6}\right)^2 = 6 \times \frac{1}{36} \times \frac{25}{36} = \frac{150}{1296} \approx 0.1157\][/tex]
[tex]\[P(X = 3) = 4 \times \left(\frac{1}{6}\right)^3 \times \frac{5}{6} = 4 \times \frac{1}{216} \times \frac{5}{6} = \frac{20}{1296} \approx 0.0154\]\[P(X = 4) = \left(\frac{1}{6}\right)^4 = \frac{1}{1296} \approx 0.0008\][/tex]

6: Summing up [tex]\( P(X \geq 2) \)[/tex]
[tex]\[P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) \approx 0.1157 + 0.0154 + 0.0008 = 0.1319\][/tex]
Rounding this to three decimal places, we get 0.132.
Thus, the probability of having exactly two dice or more land on a five is:
[tex]\[ \boxed{0.132} \][/tex].

Answer:

for the first question we have the "c” as the correct option

residual is a value of y -y^ which is the difference between an observed value of y and predicted value of y

The residual is a value of y -y ^ which is the difference between an observed value of y and predicted value of y, so answer A is false in The residual mo has errors, option B is false because it is not defined as the quantity that changes a variable and it is false that the residual is a point that has a strong effect on the regression

for question two the correct answer is:

the best fitting straight regression line at the scatter plot points is

b) sum of squares and lowest

The residual is the value obtained by subtracting the actual and the predicted value. Therefore, the residual of a linear model can be defined thus ;

The line if best fit, defines the line which best fits or models a data. It is the line in the the sum of the square is lowest as it tries to minimize the sum of squared error.

Therefore, the correct options are C and (sum of square ; lowest)

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Answer: (5, -9)

Step-by-step explanation:

Rewrite the equation in term of  x and y.

Answer:

64

Step-by-step explanation:

16 *4 is 64 so 64 divide by -4 equals -16.

Hope this helps.

Answer: 64

Step-by-step explanation: Since x is being divided by -4, to solve for x, multiply both sides of the equation by -4.

On the left side, the -4's will cancel

and on the right side, -16(-4) is 64.

So x = 64.

Please do not try to do this problem in your head.

Show the work that it takes to get x by itself.

Answer:

7 bags red onions

10 bags yellow onions

Step-by-step explanation:

If r is the number of bags of red onions, and y is the number of bags of yellow onions, then:

r + y = 17

4r + 6y = 88

Solve the system of equations using substitution or elimination.  Using substitution:

r = 17 − y

4(17 − y) + 6y = 88

68 − 4y + 6y = 88

2y = 20

y = 10

r = 7

The chef received 5 bags of red onions and 12 bags of yellow onions.

The question involves solving a system of linear equations to find the number of bags of red onions and yellow onions the chef received. Let's denote the number of bags of red onions as R and the number of bags of yellow onions as Y. We know that:

Each bag of red onions contains 4 onions.

Each bag of yellow onions contains 6 onions.

The chef got a total of 17 bags.

The chef got a total of 88 onions.

Based on this information, we can set up the following equations:

R + Y = 17
(This represents the total number of bags.)

4R + 6Y = 88
(This represents the total number of onions.)

We can solve this system of equations using substitution or elimination. Let's use substitution. First, we can express Y as 17 - R from the first equation:

Y = 17 - R

Now, we substitute Y in the second equation:

4R + 6(17 - R) = 88

By solving this equation, we find that R = 5 and Y = 12. Therefore, the chef got 5 bags of red onions and 12 bags of yellow onions.

Answer:

1/ 6^12

Step-by-step explanation:

f[x} = x ^ (-2x)

f(6) = 6 ^ (-2*6)

      = 6 ^ -12

   We know the negative exponent moves it to the denominator

     = 1/ 6^12

Answer:

Hypotenuse = 36  Leg = 33

other leg^2 = 36^2 - 33^2

other leg^2 = 207

other leg = 14.3874945699

other leg = 14.4 (rounded)

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information,

The required correct answers are,

1. The sample is:

b) simple random sample

2. np0 (1-p0) ___ 10

a) greater than or equal to

3. n ___ 0.05N

b) less than or equal to

Hypotheses:

4. H0:p___0.75

d) =

5. H1:p___0.75

a) ≠

6. The test statistic is a

a) z test statistic

7. test statistic=2.8284

8. p-value=0.0047

Decision:

Because p-value less than Alpha=0.05, we reject null hypothesis.

Conclusion:

The data support the claim that the proportion has changed.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

p = 3/4 = 0.75

For the alternative hypothesis,

p ≠ 0.75

Considering the population proportion, probability of success, p = 0.75

q = probability of failure = 1 - p

q = 1 - 0.75 = 0.25

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 480

n = number of samples = 600

P = 480/600 = 0.8

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.8 - 0.75)/√(0.75 × 0.25)/480 = 2.53

Recall, population proportion, P = 0.75

The difference between sample proportion and population proportion(P - p) is 0.8 - 0.75 = 0.05

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.75 - 0.05 = 0.7

the p for the right tail is 0.75 + 0.05 = 0.8

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail 1 - 0.9943 = 0.0057

We would double this area to include the area in the left tail of z = - 2.53. Thus

p = 0.0057 × 2 = 0.0114

Because alpha, 0.05 > than the p value, 0.0114, then we would reject the null hypothesis.

Therefore, at 5% significance level, this data provide evidence that the proportion has changed.

Answer:

they are a complimentary couple since both offer examples of their own qualities. Both types are highly dutiful and are attracted to each other

Step-by-step explanation:

hope this helps

~berrian

Final answer:

The relationship between 1 and 2 in mathematics can refer to causality, ratios, probability, physical properties in physics, or reciprocal relationships, depending on the context.

Explanation:

The relationship between 1 and 2 can refer to various mathematical concepts, depending on the context in which these numbers are being used. Here are a few examples:

Causality: In a simple model with objects A and B, an arrow from A to B implies that A is the cause and B is the effect. It's a directional relationship.

Ratio: When we say the ratio between two quantities is 1:2, it implies for every unit of the first quantity, there are two units of the second quantity. In this case, RP1 to Rp2 is 1:2.

Probability: In the context of dice, if the first value is 2, the ratio could describe the possible outcomes when rolling two dice.

Physical properties: Mathematical relationships can be determined for variable pairs in physics such as Pressure (P) versus number of moles (n), or volume (V) versus temperature (T).

Reciprocity: In some mathematical expressions, swapping the subscripts '1' and '2' does not change the relationship, indicating a reciprocal or bidirectional relationship between the two.

Understanding these relationships requires recognizing the context and the mathematical principles that govern them.

Answer:

5,500 meters or 5.5km

Step-by-step explanation:

1 km is = 1000 meter

2km=2000 meters

2000 +3500 =5,5000 meters

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images for the step by step explanation for the answer to the question

Answer:

Use (B*H)H

Step-by-step explanation:

17*18*19

First 17*18= 306

Second is 306*19=5814

*PLS HELP ME WITH MY MATH

The volume of the given rectangular prism will be 5814 inches³.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the prism = length × height × width.

As per the given,

Length = 18 inches

Width = 17 inches

Height = 19 inches

Volume = 18 x 17 x 19 = 5814 inches³

Hence "The volume of the given rectangular prism will be 5814 inches³".

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Answer:

x = 45 degrees +180 n  where n is an integer

Step-by-step explanation:

tan(x)-cos^2(x)=sin^2(x)

Add cos^2(x) to each side

tan(x)-cos^2(x)+ cos^2(x)=sin^2(x)+ cos^2(x)

tan(x)=sin^2(x)+ cos^2(x)

We know that sin^2(x)+ cos^2(x) = 1

tan (x) =1

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (1)

x = 45 degrees +180 n  where n is an integer

Answer:

Pi/4+kpi

Step-by-step explanation:

X= 45 degrees and on unit circle that is pi/4

Answer:

8 - 2x

Step-by-step explanation:

Let x be the unknown number

difference is subtraction

8 - 2x