How do you write 60% as a decimal?​

Answer:

Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.

Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

According to the question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.

Probability that a randomly selected male's systolic blood pressure will be less than 100

P(x < 100)

By using normalized normal distribution

= \(N(\frac{100-105}{9} )\)

= \(N(\frac{-5}{9} )\)      

We have N(-a) = 1 - N(a), a>0                                    

= 1 -  \(N(\frac{-5}{9} )\)      

= 1 - N(0.556)

= 1 - 0.6026

= 0.3979

≈ 0.397 (nearest thousandth)

So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

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Answer:

Area of park = 2976 ft²

Length of park = 62 ft

Width of park = ?

Area of park = length ×width

2976 = 62 × width

width = 2976/62

=48 ft

A is an n x n diagonal matrix with rank r , where rsn  and the statement (a)"O is an eigenvalue with algebraic muitiplicity n-r "  about A is true

Since A is an n x n diagonal matrix with rank r, the number of non-zero entries on the diagonal is r. This means that there are n - r zero entries on the diagonal.

For any diagonal matrix, the eigenvalues are simply the entries on the diagonal. Since there are n - r zero entries, the eigenvalue O has a geometric multiplicity of n - r.

Therefore, the correct statement is that O is an eigenvalue with geometric multiplicity n - r.

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If Christina does her due diligence and carefully weighs the costs and potential income, buying and renting out the holiday apartment could be a sound investment. However, she should carefully assess the market demand and legal requirements before making any final decisions.

Secondly, Christina needs to consider the costs involved in purchasing and maintaining the holiday apartment. She should factor in the purchase price, any renovation or repair costs, ongoing maintenance costs, and taxes and insurance. She also needs to consider any potential income from renting out the apartment and weigh that against the costs.
Thirdly, Christina should research the legal and regulatory requirements for renting out a holiday apartment in the area. She needs to ensure that she is complying with all relevant laws and regulations, such as obtaining any necessary permits or licenses and adhering to safety standards.

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If Christina is considering buying this holiday apartment for rental purposes, she should do thorough research before making a final decision. The apartment's location, amenities, and rental potential are important factors to consider.

She should also evaluate the cost of purchasing and maintaining the property versus the potential rental income it could generate. It's advisable to speak with a real estate agent or property management company to gain insights on the rental market in the area. Furthermore, Christina should ensure that the apartment meets all legal requirements for rentals in the location she plans to rent it out in. By taking these steps, Christina can make an informed decision on whether to invest in the holiday apartment and earn a steady income from renting it out to holiday guests.

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Answer:

the perimeter is 32 squares

Step-by-step explanation:

Answer:

The middle value of the data set is called/labled the median

Step-by-step explanation:

if there is a odd (1,3,5...)number of number in the data set circle the middle two and add them and divide by two and that will be your median

hope it helps:)

Also, just look at the number in the middle of the data set to figure out the median

Answer:

Step-by-step explanation:

Answer:

1/2(8y) + 1/2(-x) + 1/2(-12)

4y -1/2x - 6

Step-by-step explanation:

1/2(8y) + 1/2(-x) + 1/2(-12)

4y -1/2x - 6

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

The solution set of the given inequality is  {b| b > 20}.

Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.

And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:

(4/3)*(3/4)*b > 15*(4/3)

b > 20

Then the solution set can be written as {b| b > 20}

That is the set of all values larger than 20.

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To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.

The formula is: A = (P * r) / (1 - (1 + r)^(-n))

Where: A is the annual payment,

P is the loan principal ($25,000 in this case),

r is the annual interest rate in decimal form (0.035),

n is the number of years (5 in this case).

Substituting the given values into the formula, we have:

A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))

Simplifying the equation, we can calculate the annual payment:

A = 6,208.61

Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.

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To graph the quadratic function y=-2x^2 using the given values of x, one can create a table with two columns: one for x and the other for y. Starting with x=-2, we can substitute this value into the equation to find the corresponding value of y, which is y=-8. Similarly, by substituting -1, 0, 1, and 2 into the equation, we can find corresponding values of y as 2, 0, -2, and -8, respectively. By plotting these points on a graph and connecting them, we get a downward facing parabola with its vertex at (0,0).

the appropriate significant figures, the value of x is approximately 1.49 × \(10^3.\) Therefore, the correct option is (a 1.49 × \(10^4.\)

To find the value of x, we'll use the given equations and the properties of logarithms. Let's go step by step:

Calculating the expression on the right side of the equation:

x = 1360 - 2 - ln(1.7 ×\(10^(-5\)))

x ≈ 1358 - ln(1.7) - ln\((10^(-5)\))

x ≈ 1358 - ln(1.7) - (-5)ln(10) [Using ln\((a^b\)) = b * ln(a)]

x ≈ 1358 - ln(1.7) + 5ln(10) [Since ln(10) = 1]

Using a calculator, we can find ln(1.7) ≈ 0.5306 and ln(10) ≈ 2.3026:

x ≈ 1358 - 0.5306 + 5(2.3026)

x ≈ 1358 - 0.5306 + 11.513

x ≈ 1369.9824

Rounded to the appropriate significant figures, the value of x is approximately 1.49 × \(10^3\). Therefore, the correct option is (a) 1.49 × \(10^4.\)

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Answer:

D

Step-by-step explanation:

A Gradient is also called a slope of a line, which represents how steep a line is.

Formula of slope: Vertical difference ÷ Horizontal difference

For a slope to be zero, the line must be horizontal.

Based on the question given, we can deduce that D is a horizontal line and therefore the slope is zero.

Answer: 10

Step-by-step explanation: you look at x=1 and go over to x=3 and do rise over run

Answer:

B

Step-by-step explanation:

3.6*105 is yhe answer

Step-by-step explanation:

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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Answer:

160°

Step-by-step explanation:

Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.

Since we know m∠2, we can find m∠1 easily.

180-20=160°

Hope this helped!

Answer:

y < 6

Step-by-step explanation:

Answer: its B

Step-by-step explanation:

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

The solution is, as a decimal​ of 55.5% is, 0.555

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

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Answer:

Do you mean solve for t?

If you do, the answer is 9.

Step-by-step explanation:

If we expand the equation out, we get:

-t = 9t - 90

If we move the -90 over to the left side and the -t to the right side, we get:

90 = 10t

Dividing both sides by 9, we get:

t = 9

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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Answer:

Step-by-step explanation:

Step-by-step explanation: y= 12  between x=2 2x2 - 1

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Step-by-step explanation: i am pretty sure it is 1

Answer:

Step-by-step explanation:

Gabriel Harris earns an annual salary of $156,000 as CFO ofTechMedia, Inc. He is married and claims three dependents. TechMediarecently converted from a weekly pay plan to a monthly pay plan.How much more will Gabriel have deducted from his monthly paythan from his weekly pay for state income tax?

Answer:

\(8<\sqrt{66}<9\)

Step-by-step explanation:

\(64<66<81 \implies 8<\sqrt{66}<9\)