7^2 + 4^3 ÷ 2^5
Lol please help

Answer:

X< -1.26

Step-by-step explanation:

Combine like terms and solve like any other two step equations

Answer:

X< -1.26

Step-by-step explanation:

5 + 2x ≤ 27 is the answer

the general equation of the lines is

where m is the slope and b the y-intercept

• calculating the slope

where (x2,y2) is a right point from (x1,y1)

on this case (x2,y2) is (2,8) and (x1,y1) the other point

replacing

the slope is 3/2

• Calculating b

replace m and a point to solve b from the general equation. I will use the point (2,8)

• rewriting the equation

replace m and b on the general equation

Answer:

Step-by-step explanation:
Slope is gradient which is, change in y
                                              change in x
so, on the graph, change in y = 10-2.5 = 7.5
                              change in x = 5-0 =5
so, gradient is, 7.5/5
                     = 3/2

Answer:

4/9

Step-by-step explanation:

Multiply each answer choice by 3/4 or 1/3 and they will all be wrong except for 4/9.

3 x 4 = 1/3

so 4/9

The 90% confidence interval is  (5.09% , 5.41%)  and the 99% confidence interval is (52.24% , 52.76%)  .

In the question ,

it is given that ,

number of sample of loans taken = 28

the average of the sample is = 5.25%

the standard deviation of the normally distributed population is 0.5 %

The formula to find the Confidence Interval (CI) for the population mean is written as

\(\bar{x}\) ±\(t_{n-1} , _{\alpha /2} \frac{\sigma}{\sqrt{n} }\)

it is given that the 30 year fixed mortgage rates are normally distributed .

the sample size (n) = 28

Since sample size is less than 30 , the t - test is applied .

Sample mean ( \(\bar{x}\) ) = 0.0525

the standard deviation (σ) = 0.005

the significance level : α = 1 - 0.90 = 0.1

critical value = \(t_{n-1} , _{\alpha}\) = \(t_{27} , _{0.05}\) = 1.703

So , 90% confidence interval will be :

= 0.525 ± (1.703)×(0.005/√28)

≈ 0.0525 ± 0.0016

= (0.0525 - 0.0016 , 0.0525 + 0.0016)

= (0.0509 , 0.0541)

= (5.09% , 5.41%)

For the 99% confidence interval ,

the significance level : α = 1 - 0.99 = 0.01

critical value = \(t_{n-1} , _{\alpha}\) = \(t_{27} , _{0.005}\) = 0.2771

So , 99% confidence interval will be :

= 0.525 ± (0.2771)×(0.005/√28)

≈ 0.0525 ± 0.00026

= (0.0525 - 0.00026 , 0.0525 + 0.00026)

= (0.05224 , 0.05276)

≈ (52.24% , 52.76%)

Therefore , The 90% confidence interval is  (5.09% , 5.41%)  and the 99% confidence interval is (52.24% , 52.76%)  .

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The discount expression is d > 400 and the temperature expression is t ≤ 40

We understand that the shopper must spend more than $400 to get 10% discount

So, the expression for the amount spent is:

d > 400

We understand that the temperature is no more than 40F

So, the expression for the temperature is:

t ≤ 40

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Answer:

5

Step-by-step explanation:

Answer:

30/200 or 15%

Step-by-step explanation:

ok so I gotta find the total which is 16+19+30+48+32+55=200

so it's 30/200 or 15%

The probability of selecting a boy is 5/12.

To find the probability of selecting a boy, we need to determine the total number of boys and the total number of pupils.

From the table, we can see that there are 2 boys who are 12 years old and 3 boys who are 11 years old. So, the total number of boys is 2 + 3 = 5.

To find the total number of pupils, we need to add up the total number of girls and boys. From the table, we can see that there are 7 girls and a total of 5 boys. So, the total number of pupils is 7 + 5 = 12.  to find the probability of selecting a boy at random, we divide the total number of boys by the total number of children. The probability of selecting a boy is: ("a b" + "c") / ("a b" + "c" + 7) It's important to note that we need the actual numbers for "a b" and "c" to calculate the probability accurately.

Therefore, the probability of selecting a boy is 5/12.

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The probability of selecting a boy is 5/12.The probability of selecting a boy is: ("a b" + "c") / ("a b" + "c" + 7)

To find the probability of selecting a boy, we need to determine the total number of boys and the total number of pupils.

From the table, we can see that there are 2 boys who are 12 years old and 3 boys who are 11 years old. So, the total number of boys is 2 + 3 = 5.

To find the total number of pupils, we need to add up the total number of girls and boys. From the table, we can see that there are 7 girls and a total of 5 boys. So, the total number of pupils is 7 + 5 = 12.  to find the probability of selecting a boy at random, we divide the total number of boys by the total number of children. The probability of selecting a boy is: ("a b" + "c") / ("a b" + "c" + 7) It's important to note that we need the actual numbers for "a b" and "c" to calculate the probability accurately.

Therefore, the probability of selecting a boy is 5/12.

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Answer:

x = -2, y = -5, z = 3

Step-by-step explanation:

You have to substitute the letter with its real  value;

3x = -6

Divide both sides by 3;

x = -2

So now we have to replace x with -2;

x + 3y = -7

-2 + 3y = -17

Add 2 to both sides;

3y = -15

Divide both sides by 3;

y = -5

For the last equation you have to replace x and y since we have the values;

4(-2) - 3(-5) + 6z = 25

-8 + 15 + 6z = 25

7 + 6z = 25

Subtract 7 from both sides;

6z = 18

Divide both sides by 6;

z = 3

Check:

4(-2) - 3(-5) + 6(3) = 25

-8 + 15 + 18

7 + 18 = 25

25 = 25

This mean the values are correct.

Answer:

x=-2

y=-5

z=3

Step-by-step explanation:

Ok so first you have to solve for x because its the easiest equation 3x=-6.

Divide by 3 on both sides and you get x=-2. Now that you have your x value you can plug that in to the second equation x+3y=-17. Making it -2+3y=-17. Solve for y by adding 2 to both sides making it 3y=-15 and then divide by 3 making it y=-5. Since you have your x and y value, you can plug that in to the top equation which is 4x-3y+6z=25 and making it 4(-2)-3(-5)+6z=25,

4(-2)-3(-5) equals 7 making your equation 7+6z=25. Take away 7 from both sides and you are left with 6z=18. 18/6 is 3 so you get z=3. Making your final answer: x=-2 y=-5 and z=3

Hope this helped.

Answer:c will be the answer YW!

Step-by-step explanation:

This is voluntary response bias because graduates may choose to be part of the sample that is most likely to be present in the survey results. Thus option C is correct.

A survey is a set of inquiries designed to elicit specified data from a certain population. Surveys can be carried out via the radio, by postal, online, at town squares, and even in shopping centers.

When elements are personality volunteers who are degree holders, volunteered response bias emerges. Voters determine whether or not they will participate in the sample once the research involved a group of people to do so.

Graduating students may select to be a part of the population that is the most likely to appear in the survey results, resulting in voluntary response bias. Therefore, option C is the correct option.

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It takes 9 hours for the car to travel 612 miles at an average speed of 68 miles per hour.

To find the time it takes for the car to travel 612 miles at an average speed of 68 miles per hour, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 612 miles ÷ 68 miles per hour

Therefore, the time it would take the car to travel 612 miles is: Time = 612 miles / 68 miles per hour Time = 9 hours.  So, it would take the car approximately 9 hours to travel a distance of 612 miles if it maintains an average speed of 68 miles per hour.

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we are given the following function:

We are asked to find:

This means the value of the function when x = -2, therefore, in the function where ever we find "x" we replace it with -2, like this:

Solving the operations:

Therefore, f(-2) = 11

Answer:

Hello. y=1/2x-2

Step-by-step explanation:

The line that is perpendicular to this line ،its slope must be 1/2

So:

\(y - y0 = m(x - x0) \\ y - 2 = \frac{1}{2} (x - 8) \\ y = \frac{1}{2} x - 2\)

The unit of measure for roll batt insulation is usually in square feet. On the estimate, you should note the type of insulation being used, the type of coverage being provided, the cost of the insulation, and any installation fees.

Roll batt insulation is a type of insulation that is often used to insulate walls, attics, and other areas of the home. The unit of measure for roll batt insulation is usually in square feet. When getting an estimate for the cost of the insulation, it is important to note the type of insulation being used, the type of coverage being provided, the cost of the insulation, and any installation fees that may be involved. This type of information should be noted on the estimate in order to ensure that you are getting the most accurate estimate for the insulation that you need.

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Answer:

3 : 1 : 3

Step-by-step explanation:

6 : 2 : 6 ← divide each part ot the ratio by 2

3 : 1 : 3 ← in simplest form

Answer:

A: 1

B: 17

C: 26

D: 42

E: 57

Step-by-step explanation:

As a result, no particular postulate can be used to demonstrate their congruence due to a lack of adequate data. So "None" is the correct response.

If two figures share the same form, congruent corresponding angles (which means the angles in the same locations of each shape are the same), and identical scale factors, they are said to be "similar figures." Equal scale factors signify a matched ratio between the lengths of their respective sides.

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Answer: None

Step-by-step explanation: I Just did it

The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that for 80 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 45 boxes, employees had stolen the goods, and for the remaining 75 boxes, he blamed poor inventory control.

In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the 0.10 significance level. H0: The proportions are as stated. H1: The proportions are not as stated. The decision rule using a 0.10 significance level is: Reject H0 if the computed chi-square value is greater than 4.605. Compute the value of chi-square as follows: Observed Frequencies: Shoplifting: 80 Employee theft: 45 Poor inventory control: 75 Total: 200 Expected Frequencies: Shoplifting: (80+45+75) x (80/200) = 80. Employee theft: (80+45+75) x (45/200) = 36. Poor inventory control: (80+45+75) x (75/200) = 84. Total: 200The formula for chi-square is: χ2=∑((Oi−Ei)2/Ei). Using the observed and expected frequencies from above, we get: χ2 = [(80 - 80)²/80] + [(45 - 36)²/36] + [(75 - 84)²/84] = 2.4. The value of chi-square is 2.4, which is less than 4.605. Therefore, we fail to reject H0. Hence, the chief of security for the Mall of the Dakotas cannot say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely at a 0.10 significance level.

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Answer:

(0,-7) (1,-3) (2,1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 4

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

15 non-collinear points on a plane determine 105 lines

To find the number of lines determined by 15 non-collinear points on a plane, we can use the combination formula. The combination formula is written as C(n, k) = n! / (k!(n-k)!), where n is the total number of elements and k is the number of elements we want to choose from the total.

In this case, we have 15 points (n = 15) and we need to choose 2 points (k = 2) to form a line. Applying the combination formula:

C(15, 2) = 15! / (2!(15-2)!) = 15! / (2! * 13!) = (15 * 14) / (2 * 1) = 105

Therefore, 15 non-collinear points on a plane determine 105 lines.

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a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

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Bonds in construction project management can have both pros as financial stability, risk taker, quality assurance and dispute resolution and cons are cost, prequalification challanges, time-consuming process and limited flexibility.

Pros:
1. Financial Stability: Bonds provide financial security to construction projects by ensuring that funds are available for completion. This helps protect the owner's investment and reduces the risk of project abandonment.
2. Risk Transfer: Bonds shift the risk from the project owner to the bonding company or surety. In case of default by the contractor, the surety steps in to complete the project or compensate the owner for any losses incurred.
3. Quality Assurance: Contractors who obtain bonds are often more reputable and reliable. The bonding process typically involves rigorous prequalification criteria, which ensures that contractors have the necessary expertise, experience, and financial strength to successfully complete the project.
4. Dispute Resolution: Bonds can provide a mechanism for resolving disputes between the owner and the contractor. The surety may assist in resolving conflicts or provide mediation services, helping to mitigate delays and maintain project progress.

Cons:
1. Cost: Obtaining a bond can be costly for contractors. They usually have to pay a premium to the surety, which can increase the overall project expenses.
2. Prequalification Challenges: Meeting the stringent requirements for bonding can be challenging for smaller or less experienced contractors. This may limit their ability to participate in certain projects or result in higher premiums due to perceived higher risk.
3. Time-consuming Process: The process of obtaining a bond can be time-consuming, involving extensive paperwork and documentation. This can cause delays in project commencement if the contractor is not adequately prepared.
4. Limited Flexibility: Bonding requirements may limit the contractor's flexibility in managing the project. Contractors may have to adhere to specific guidelines and procedures outlined in the bond, which can restrict their decision-making authority.

It is important to note that the pros and cons of bonds in construction project management can vary depending on the specific project and circumstances. Additionally, local laws and regulations may also influence the impact of bonds on construction projects.

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Answer: 30

Step-by-step explanation:

1 red chip = $10, so 30 red chips = $ 300

1 blue chip = $5, so 20 blue chips = $100

Add the cost of both we get $400, matching our question requirements.

To calculate the mean of a data set, we need to sum up all the values and then divide by the total number of values.

Sum of the data set = 33 + 42 + 49 + 49 + 53 + 55 + 55 + 61 + 63 + 67 + 68 + 68 + 69 + 69 + 72 + 73 + 74 + 78 + 80 + 83 + 88 + 88 + 88 + 90 + 92 + 94 + 94 + 94 + 94 + 96 + 100

Count of values = 31

Mean = (Sum of the data set) / (Count of values)

Now we can substitute the values and calculate:

Mean = (33 + 42 + 49 + 49 + 53 + 55 + 55 + 61 + 63 + 67 + 68 + 68 + 69 + 69 + 72 + 73 + 74 + 78 + 80 + 83 + 88 + 88 + 88 + 90 + 92 + 94 + 94 + 94 + 94 + 96 + 100) / 31

After evaluating this expression, we find that the mean of the given data set is approximately 71.29 (rounded to two decimal places).

Therefore, the mean of the data set is 71.29.

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