an equilateral triangle has sides of equal length. determine whether the triangle with vertices 1-1, -12, 12, 32, 1-4, 32 is equilateral.

Answer:

c. 70

Step-by-step explanation:

Laura’s steps are 70cm, and she takes 80 steps, which would give her a total length of 5600cm. Kara’s steps are 80cm, so we have to divide 5600cm by 80cm. This means Kara takes 70 steps to walk across the park.

In a stratified sample of 50 students, approximately 10 Year 7 students are picked.

We have,

The total number of students in the population.

= 135 (Year 7) + 150 (Year 8) + 120 (Year 9) + 154 (Year 10) + 132 (Year 11)

= 691

The proportion of Year 7 students in the population.

= 135/691

= 0.1957

To calculate how many Year 7 students are picked in a sample of 50 students, we multiply the sample size by the proportion of Year 7 students in the population.

= 50 × 0.1957

= 9.785

Rounding to the nearest whole number.

= 10

Therefore,

In a stratified sample of 50 students, approximately 10 Year 7 students are picked.

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The probability that all four alarm systems will detect a theft when it occurs is the product of their individual probabilities, since each system operates independently of the others. Therefore, the probability is:

(.99)^4

This simplifies to:

0.96059601

Rounding to four decimal places, we get:

0.9606

So the answer is (a) (.99)^4, which is approximately 0.9606.

Answer:

Step-by-step explanation:

(x° - 38°) + x + 90° + 90° = 360°

(The sum of the interior angles of any quadrilateral is 360°)

\((x - 38) + x + 90 + 90 = 360 \\ x - 38+ x + 180 = 360 \\ x + x + 180 - 38 = 360 \\ 2x + 142 = 360 \\ 2x = 360 - 142 \\ 2x = 218 \\ \frac{2x}{2} = \frac{218}{2} \\ x = 109 \\ \)

The total angle measures a quadrilateral has is 360 degrees and in the problem, we are told that two of the angles are both 90 degrees. So thats 180 degrees out of the way and now we have x+(x-38)=180 which is 2x-38=180 then you add 38 to both sides to get rid of the 38 on the left side and then you end up with 2x=218 so you have to divide both sides by 2 to remove the 2 from x and you would get x=109

hello

to solve this question, we need to familiarize ourselves with basic unit conversions.

If 1 miles = 5280ft, how many feet would be in 40 miles

so, now we have 211,200ft/3600s

we can simply divide both to get our answer in ft/s

the kangaroo's speed is 58.67ft/s

Answer:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. ... If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF.

Answer:

21%

Step-by-step explanation:

The probability of committing type 1 error best describes notion of significance level of hypothesis test.

What is probability?

Probability is a mathematical concept used to measure the likelihood or chance of an event occurring. It is expressed as number between 0 and 1, where 0 represents an impossible event, and 1 represents certain event. The probability of an event is calculated by dividing number of favorable outcomes by total number of possible outcomes. Probability is used in various fields, including statistics, economics, finance, and science. It is used to make predictions, assess risk, and make informed decisions. Probability theory helps to explain random phenomena, such as the outcomes of a coin toss or the probability of a disease occurring in a population.

Complete Question:

Which one of the following best describes the notion of the significance level of a hypothesis test?

i) the probability of committing a type 1 error

ii) the probability of committing a type 2 error

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1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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The property shown in 2 + 0 = 2 is the Identify Property of Addition

The expression is given as:

2 + 0 = 0

The  Identify Property of Addition property states that

a * 0 = a

This means that the property shown is the Identify Property of Addition

Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition

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The concepts and procedures of the scientific method that are being violated in this scenario are: a. Lack of Control Group, b. Lack of Randomization, c. Lack of Blindness, d. Failure to Replicate, e. Extraneous and Confounding Variables.

Lack of Control Group: A control group is a group that is identical to the experimental group in every way except that they do not receive the treatment. It helps in determining whether the treatment has an effect. In this scenario, the lack of a control group makes it impossible to determine whether the treatment is responsible for the difference between the experimental group and the control group.

Lack of Randomization: Randomization is the process of assigning subjects to groups randomly. It ensures that each group is identical to the others in every way except for the treatment. In this scenario, the lack of randomization makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to differences between the groups.

Lack of Blindness: Blinding is the process of keeping the subjects unaware of whether they are in the experimental or control group. It ensures that the subjects do not change their behavior based on their knowledge of whether they are receiving the treatment or not. In this scenario, the lack of blindness makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to the subjects knowing which group they are in.

Failure to Replicate: Replication is the process of repeating the study to see whether the results are consistent. In this scenario, the failure to replicate the study makes it impossible to determine whether the results are consistent with previous studies.

Extraneous and Confounding Variables: Extraneous variables are variables that are not of interest to the researcher but that may have an effect on the outcome of the study. Confounding variables are variables that are not of interest to the researcher but that are related to both the independent and dependent variables.

In this scenario, the presence of extraneous and confounding variables makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to these variables.

Devise a study to answer the research question in each scenario: To devise a study to answer the research question in each scenario, we must consider the concepts and procedures of the scientific method. We must include a control group, randomization, blindness, replication, and control for extraneous and confounding variables.

To conclude, lack of a control group, randomization, and blindness, failure to replicate, and the presence of extraneous and confounding variables violate the concepts and procedures of the scientific method. To answer the research question in each scenario, we must devise a study that includes a control group, randomization, blindness, replication, and control for extraneous and confounding variables.

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Answer:

Step-by-step explanation:

Dont know need help

Answer:

2099/800= 2.62375

Step-by-step explanation:

Answer:

Solution

here,

X=?

now,

X+90+42=180 (Sum of angles of Triangle)

or, X=180-132

or, X=48

Hence the value of X is 48 degrees

The pints of  water left in the aquarium is  2.5 pints

Using the conversion rule sho below:

1 cup  = 0.5 pint

If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:

Total pint =  2  pints + 0.5 pint

Total pint =  2.5 pints

Hence the pints of  water left in the aquarium is  2.5 pints

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30

Look at the next part in the order it goes up, straight up again then down then up, which probably means that you are gonna go up again instead of going down

all in the up's and down's lol

The total volume of water in the two jugs​ is 3.55 liters.

Given,

Jug A has 2.17 liters of water

Jug B has 0.79 liters less than jug A.

Solution:

Since jug B has 0.79 liters less than jug A.

Jug B = 2.17 - 0.79

= 1.38 litres

The total volume of water in the two jugs​ = 2.17 liters + 1.38 liters

The total volume of water in the two jugs = 3.55 liters

Therefore, the total volume of water in the two jugs​ is 3.55 liters.

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1.1.1 Short-term investment: An example of a short-term investment is investing in a 3-month Treasury bill. These are government-issued debt securities with a maturity of less than one year, providing a relatively low-risk investment option with a fixed interest rate.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a maturity of 5 years. Corporate bonds offer a higher yield compared to government bonds, making them suitable for investors with a moderate risk appetite seeking stable income over a longer time horizon.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. Stocks represent ownership in a company and have the potential for higher returns over an extended period, although they also involve higher risk.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. These bonds pay a fixed interest rate over the bond's duration, providing a predictable stream of income for the investor.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. The mortgage payment remains constant throughout the loan term, typically spanning several years, and includes both the principal repayment and the interest charged by the lender.

1.1.1 Short-term investment: A short-term investment option is the 3-month Treasury bill. Treasury bills are considered low-risk investments issued by the government, and they offer a fixed interest rate that is determined through an auction process. Investors can purchase Treasury bills directly from the government or through a broker.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a 5-year maturity. Corporate bonds are issued by companies to raise funds, and they pay a fixed interest rate to bondholders over the bond's duration. The bond's yield and risk profile depend on the creditworthiness of the issuing company.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. A diversified portfolio consists of a mix of stocks from different sectors and regions, spreading the risk across multiple companies. The goal is to achieve long-term capital appreciation and potentially earn dividends from the stocks held in the portfolio.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. Government bonds are issued by national governments to finance their operations. The bond's interest rate is fixed at the time of issuance, and the investor receives periodic interest payments until the bond reaches maturity, at which point the principal amount is returned.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. When purchasing a property with a mortgage loan, the borrower agrees to make fixed monthly payments that include both the principal repayment and the interest charged by the lender. The monthly payment amount remains constant throughout the mortgage term, typically ranging from 15 to 30 years.

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-2 - 2i*square root of 11/483

Answer:

I think it is -2 minus 2i by 11 over 438

the correct answer is X= -3

Answer:

8th term = 61

Step-by-step explanation:

See attached image

Based on the information provided, the research study is likely to receive the designation of "Well-designed randomized controlled trial" according to the What Works Clearinghouse (WWC) Standards.

Random assignment, low attrition, and minimal confounding variables are key criteria for a well-designed study. Random assignment ensures that participants are assigned to different groups in a random and unbiased manner, minimizing potential selection bias. Low attrition refers to a low dropout rate among participants, which helps maintain the integrity of the study's findings. Minimal confounding variables indicate that the researchers have taken measures to control and reduce the influence of extraneous factors that could impact the study's results.

By meeting these criteria, the research study aligns with the standards of a well-designed randomized controlled trial, which is considered a rigorous and reliable research design for evaluating the effectiveness of interventions or treatments.

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Answer:

Step-by-step explanation:

5.25 + 17.75x ≤ 165

17.75x ≤ 159.75

x = 9 people (Assuming they all fit in one vehicle)

Wish You the Best in your Studies.

The number of people who can enter in the amusement park is 7.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.

Let p be the number of people who can enter in the amusement park. Then the inequality is given as,

33.75p + 19.50 ≤ 280

Simplify the inequality, then the value of p is given as,

33.75p + 19.50 ≤ 280

33.75p ≤ 260.50

p ≤ 7.72

Thus, the number of people who can enter in the amusement park is 7.

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Answer:

9 cans of white paint

Step-by-step explanation:

To solve this you can set up a ratio.

The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

\(\frac{3}{2} = \frac{?}{6}\)

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.

The sequence of arithmetic sequence be 37, 29, 21, 13 then the 52nd term exists 445.

The term "arithmetic sequence" refers to an ordered collection of numbers with a common difference between each succeeding word.

Arithmetic sequences are those that contain these patterns. The difference between successive terms in an arithmetic series is constant.

An arithmetic sequence, also known as an arithmetic progression, is a set of numbers where each term differs from the one before it. The arithmetic sequence formula makes it simple to determine a term's value and the sequence's common difference.

The AP's first period is 37.

Common difference = 37 - 29 = 29 - 21 = 8.

Let the equation of arithmetic sequence be a + ( n - 1 )d, where d is the common difference and a is the first term.

To find the 52nd term, we get

substitute the values in the above equation, we get

⇒ 37 + ( 52 - 1 )8

simplifying the above equation, we get

⇒ 37 + ( 51 )8

⇒ 37 + 408

⇒ 445

Therefore, the 52nd term of the arithmetic sequence exists 445.

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Answer:

$2696.63

Explanation:

The future value A and the present value P are related by the following equation

A = P(1 + rt)

Where r is the interest rate and t is the time.

Now, we need to convert 9 months to years as follows

9 months x 1 year / 12 months = 0.75 years

Then, replacing A = 3000, r = 15% = 0.15 and t = 0.75, we get:

3000 = P(1 + 0.15(0.75))

3000 = P(1 + 0.1125)

3000 = P(1.1125)

Now, we can solve for P

P = 3000/1.1125

P = 2696.63

Therefore, the present value is $2696.63

The process of analyzing sample data in order to draw conclusions about the characteristics of a population is called: Statistical Inference.

Statistical Inference can be defined as the process of drawing or reaching a conclusion after analyzing and evaluating the random sample data collected from a population.

Most researcher tend to make use of Statistical Inference  when  they want to draw or reach conclusion  that are valid about a group of people.

Therefore the process of analyzing sample data in order to draw conclusions about the characteristics of a population is called: Statistical Inference.

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Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

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A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

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