Susan jogged for 1 1/2hours on Monday and 90 minutes on Tuesday. On which day did she jog longer?

Answer:

sides: scalene (no sides are the same length)

angles: obtuse (an angle is over 90°)

The probability of two events happening one after another is the product of both probabilities.

The probability of winning at the machine X is 12/100 and the probability of winning at the machine Y is 7/100. Then, the probability of winning at both playing once at each machine, is:

On the other hand, since the probability of winning at machine X is 12/100, then the probability of loosing is 88/100. Similarly, the probability of loosing at machine Y is 93/100. Then, the probability of loosing at both machines is:

Therefore, the probability of winning at both machines is 0.84% and the probability of loosing at both machines is 81.84%.

Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

Given specification limits are, Upper specification limit (USL) = 62 and Lower specification limit (LSL) = 38

The given process has the mean of μ = 53 and the standard deviation of σ

= 3We know that, Process Capability Index (Cpk)

= min [ (USL - μ) / 3σ, (μ - LSL) / 3σ]Substituting the values, Process Capability Index (Cpk)

= min [ (62 - 53) / (3 × 3), (53 - 38) / (3 × 3)]Cpk

= min [0.99, 1.67]The minimum value of Cpk is 0.99. Therefore, the ACTUAL process capability is 0.99.

Process Capability Index (Cpk) = min [ (USL - μ) / 3σ, (μ - LSL) / 3σ] Substituting the values, Process Capability Index (Cpk) = min [ (62 - 53) / (3 × 3), (53 - 38) / (3 × 3)]Cpk

= min [0.99, 1.67]The minimum value of Cpk is 0.99.

Therefore, the ACTUAL process capability is 0.99.

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The population declines by approximately 2.96% each decade.

To determine the percentage decline of a population each decade, we need to consider the compounding effect of the annual decline over a 10-year period.

Given that the population declines by 0.3% each year, we can calculate the overall decline over a decade as follows:

(1 - 0.003)^10

Using a calculator, we find that (1 - 0.003)^10 ≈ 0.970439.

To express this as a percentage decline, we subtract this value from 1 and multiply by 100:

(1 - 0.970439) * 100 ≈ 2.96.

Therefore, the population declines by approximately 2.96% each decade.

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Answer:

b = 131

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

b+49 = 180

Subtract 49 from each side

b = 180-49

b =131

Answer:

Angle b is 131°

Step-by-step explanation:

Angles on a straight line add up to 180°

To find b add 49 and b and equate it to 180°

That's

b + 49 = 180

b= 180 - 49

b = 131°

Hope this helps you

The largest side of the triangle is 52.

Checking pythagoraus theorem,

Thus, it is not a right angle triangle.

Thus, option (D) is correct.

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1) -10

Step-by-step explanation:

It's the only one that would make a perfect square after subtracting it from 54

Hope this helps :)

Pete relies on personal observations and experiences as empirical evidence to support his belief about the automatic carwash damaging cars.

In this scenario, Pete is relying on empirical evidence as his source of knowledge. Empirical evidence is based on direct observation or experience. Pete's belief that the automatic carwash damages cars stems from the repeated occurrences of finding new dings in his car after each visit. He has personally observed this cause-and-effect relationship, leading him to conclude that the automatic carwash is responsible for the damages.

Pete's reliance on empirical evidence is grounded in his own experiences and perceptions. It is important to note that while empirical evidence can be valuable in forming beliefs and drawing conclusions, it is also limited. Pete's individual experiences may not necessarily reflect the broader truth. Other factors such as the specific carwash he visits, the condition of his car prior to the wash, or even coincidental events could contribute to the dings on his car.

To validate his conclusion, Pete could consider gathering additional evidence from other car owners who use the same automatic carwash or seek expert opinions from professionals in the automotive industry. This would provide a more comprehensive and reliable understanding of the situation.  

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Answer:

Step-by-step explanation:

0.3535... = 35/99

Answer:

27

Step-by-step explanation:

you 1.50x18

Based on the fact that the line is perpendicular and the points are (-4, 7) and (1,3) the equation to represent this is A. y = 5/4x + 8.

The slopes of lines that are perpendicular are negative reciprocals of each other because they have to lead up to 0 which will then allow a perpendicular intercept.

The slope for the line passing through (-4, 7) and (1, 3) is:

= (3 - 7) / (1 - (-4))

= -4 / 5

The negative reciprocal of -4/5 is:

= 5/4

The equation for the other line is:

y = 5/4x + 8

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Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

Therefore, there are 5670 possible serial numbers that can be generated.

In mathematics, combination refers to the selection of a group of objects from a larger set without considering the order of objects. It is a way of counting the number of ways of selecting objects from a set, where the order of selection does not matter. In other words, a combination is a way of choosing a subset of objects from a larger set, where the order of selection is not important. The number of combinations of n objects taken r at a time is denoted by "n choose r" and is calculated using the formula: nCr = n! / (r!(n-r)!) where n is the total number of objects and r is the number of objects being selected. The exclamation point denotes the factorial function, which is the product of all positive integers up to a given number.

Here,

First, we need to determine how many ways we can choose 4 letters from the first 9 letters of the alphabet with no repeats. This is a combination problem, and we can use the formula:

C(9,4) = 9! / (4! * 5!) = 126

Next, we need to determine how many ways we can choose 2 digits from the 10 digits with no repeats. This is another combination problem:

C(10,2) = 10! / (2! * 8!) = 45

Now, we can use the multiplication principle to find the total number of serial numbers:

126 * 45 = 5670

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Answer:

3% of 66.7 is 2.001 or 2.00

18% of 66.7 is 12.006 or 12.01

The chi-square test for homogeneity is used if he wants to determine if the distributions are the same.

What is the chi-square test?

Chi-square is a statistical test that looks at how categorical variables from a random sample differ from one another to see if the expected and actual findings match together well.  It is a contrast of two sets of statistical data. Karl Pearson developed this test in 1900 for the analysis and distribution of categorical data.

Here,

We have to determine for which situations should the chi-square test for homogeneity be used.

We concluded from the given option that:

A researcher is trying to determine if salaries for men and women in the tech industry have the same distribution.

He surveys a random sample of men and women in the industry and records the distribution of salaries for each gender.

He wants to determine if the distributions are the same.

Hence, the chi-square test for homogeneity is used if he wants to determine if the distributions are the same.

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Answer:

\( ln( {m}^{3} {n}^{4} )\)

Step-by-step explanation:

\( \alpha ln(x) = ln( {x}^{ \alpha } ) \)

\( ln( {m}^{3} ) + ln( {n}^{4} ) \)

\( ln(a) + ln(b) = ln(ab) \)

\( ln( {m}^{3} {n}^{4} ) \)

Answer:

Step-by-step explanation:

ln(m^3*n^4)

We should check this out to see if it works.

Givens

m = 2

n = 3

3 ln(2) = 3*0.6931 = 2.0794

4*ln(3) = 4*1.0986 = 4.3944

Add                          6.4738

Check Answer

ln(2^3*3^4)

ln(8*81)

ln(648)

6.4738                  Just as it should be

The Simplified form of (12π/5) ÷ (2π) is 6/5.

The expression (12π/5) ÷ (2π), we can divide the numerator (12π/5) by the denominator (2π). This can be done by multiplying the numerator by the reciprocal of the denominator.

Reciprocal of 2π is 1/(2π), so the expression can be written as:

(12π/5) * (1/(2π))

Now, let's simplify:

(12π/5) * (1/(2π)) = (12π/5) * (1/2π)

π cancels out in the numerator and denominator:

= (12/5) * (1/2)

= 12/10

= 6/5

Therefore, the simplified form of (12π/5) ÷ (2π) is 6/5.

In conclusion, the expression (12π/5) ÷ (2π) simplifies to 6/5.

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The basis of Monte Carlo simulation is experimentation on probabilistic elements by means of random sampling, option B.

The basis of Monte Carlo simulation is random sampling. Monte Carlo simulation is a computational technique that involves using random sampling to model and simulate complex systems or processes with probabilistic elements.

In Monte Carlo simulation, random sampling is used to generate a large number of possible outcomes or scenarios based on probabilistic inputs and assumptions. These random samples are then used to estimate or analyze the behavior and performance of the system being modeled. By simulating a large number of random samples, Monte Carlo simulation provides statistical information and insights into the range of possible outcomes, their probabilities, and their potential impact.

Random sampling is a fundamental component of Monte Carlo simulation as it allows for the exploration and evaluation of different probabilistic elements within the system being analyzed. By repeatedly sampling from the probabilistic distributions, Monte Carlo simulation can provide valuable insights, such as estimating probabilities, assessing risk, optimizing decision-making, and understanding the overall behavior of the system under uncertainty.

So, the correct option is B. random sampling.

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Solution :

LHS = 1/(secA -1) + 1/(secA+1)

= [secA+1+secA-1]/[(secA-1)(secA+1)]

= (2secA)/[sec²A-1]

=(2secA)/tan²A

= (2/cosA)/(sin²A/cos²A)

= ( 2cosA)/sin²A

= 2(1/sinA)(cosA/sinA)

= 2cosecAcotA

= RHS

••••

There are 70 students in the school in total

The frosting which will be short on each of Eva's 12 cakes shared equally on each will be \( \frac {11}{32}\)

Number of cakes to frost = 12

Shortage on required frosting = \( 4 \frac{1}{8} \)

Spreading the frost on each of the 12 cakes available :

Divide the shortage on required frost by the number of cakes

Shortage on required frosting ÷ Number of cakes to frost

\( \frac{33}{8} \div 12 = \frac{33}{8} \times \frac{1}{12} = \frac{(33\times1)}{96} = \frac {11}{32}\)

Therefore, each frosted cake will be short of \(\frac{11}{32} \: cups \)

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Answer:

-11/32

Step-by-step explanation:

Answer:

6.08 * 10 ^ -7

Step-by-step explanation:

Brainliest PLZ

Answer:

6.08 x \(10^{-7}\)

Step-by-step explanation:

For scientific notation, you want one digit to be in front of the decimal point -- so you need to move the decimal point 7 spaces to the right -- which is the same as dividing by 10^7, or multiplying by 10^(-7).  So you're left with 6.08 x 10^(-7)

Answer:

I think 230

Step-by-step explanation:

hope it's help.

Answer:

150

Step-by-step explanation:

75

25

10

+ 40 =150

you have to add those

6 weeks from now, you will have $215 in your bank account

The given parameters are:

b = 60 + (20+6)w

When the account balance is $215, we have

60 + (20+6)w = 215

Subtract 60 from both sides

(20+6)w = 155

This gives

26w = 155

Divide both sides by 26

w = 5.96

Approximate

w = 6

Hence, 6 weeks from now, you will have $215 in your bank account

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Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

Answer:

X - 3 = 5

Step-by-step explanation:

X decreased by 3 means X-3.

If X - 3 is 5, then it can be written as X - 3 = 5

Answer: 8

Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.

Answer:Dilation by a scale factor of 2 followed by reflection about the y-axis

Step-by-step explanation:

Let me know if it is right