The difference of two numbers is 8. If the sum of the smaller number and the square of the larger number is 148, what is the larger number?

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

9x+15

Step-by-step explanation:

The EPA mileage rating for a car is given in miles per gallon.

If we want to know the rating in kilometers per liter, we need to convert both miles and gallons to their metric equivalents.To convert miles to kilometers, we multiply by 1.60934.To convert gallons to liters, we multiply by 3.78541.30 miles per gallon can be converted to kilometers per liter using the following steps:30 miles/gallon × 1.60934 km/mile ÷ 3.78541 liters/gallon = 12.75 kilometers per , a car with an EPA mileage rating of 30 miles per gallon has a rating of 12.75 kilometers per liter.

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The index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.

Based on the information provided, we will calculate the simple index number for period 7 (i7) using the given values for y1 and y7.

The simple index number formula is:

i7 = (y7 / y1) × 100

Where y1 represents the value in period 1 (116) and y7 represents the value in period 7 (255).

Plugging in these values, we get: i7 = (255 / 116) × 100 i7 ≈ 219.83

Thus, the simple index number for period 7 (i7) is approximately 219.83.

This index number is a measure that compares the value of y7 to the value of y1, with y1 being the base period.

In this case, the index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.

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Answer:

8, 0

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

in this condition "of" is considered as multiply(×) so the questions form in maths form is 77% × 192

because it is multiplication sign we multiply 77×192=14784 dont forget the percentage % percent is /100 so 14784/100 = 147.84.

The maximum possible profit = $7068

For given question,

One Microsoft July $72 put contract for a premium of $1.32

The payoff arise from put option is max (K - S, 0) - P

Now it would be maximum at S = 0

And, the maximum payoff is

K - 0 - P

= K - P

= 72 - 1.32

= $70.68

We assume that for each and every contract the number of shares is 100

So, the maximum profit gained from this strategy is

= $70.68 × 100 shares

= $7068

The maximum profit that will be gained from this strategy is $7068

Therefore, the maximum possible profit = $7068

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Expected completion time of the path other than the critical path is 18.16 weeks.

a) The expected times and variances for each of the activities are as follows:

Activity 1:

Expected Time = 9.83 weeks

Variance = 0.69 weeks

Activity 2:

Expected Time = 10.33 weeks

Variance = 2.78 weeks

Activity 3:

Expected Time = 9.83 weeks

Variance = 0.69 weeks

Activity 4:

Expected Time = 7.83 weeks

Variance = 1.36 weeks

b) The expected completion time of the critical path is 19.66 weeks.

The expected completion time of the path other than the critical path is 18.16 weeks.

c) The variance of the critical path is 1.38 weeks.

The variance of the path other than the critical path is 4.14 weeks.

d) If the time to complete the activities on the critical path is normally distributed, the probability that the critical path will be finished in 22 weeks or less is -98.

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Answer:

8

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

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

3/4=(-1+4)/(k-4)

3/4=3/(k-4)

cross product

4*3=3(k-4)

12=3(k-4)

12/3=k-4

4=k-4

k=4+4

k=8

Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

To determine a rejection region for a test at level α using the fact that the sum of independent Poisson random variables follows a Poisson distribution, we calculate the critical values based on the desired significance level α and compare them with the observed sum of Poisson variables.

To determine a rejection region for a test at level α using the fact that the sum of independent Poisson random variables follows a Poisson distribution, we can follow these steps:

Specify the null and alternative hypotheses: Determine the null hypothesis (H0) and the alternative hypothesis (Ha) for the statistical test. These hypotheses should be stated in terms of the parameters being tested.

Choose the significance level (α): The significance level α represents the maximum probability of rejecting the null hypothesis when it is true. It determines the probability of making a Type I error (rejecting H0 when it is actually true). Common choices for α are 0.05 or 0.01.

Determine the test statistic: Select an appropriate test statistic that follows a Poisson distribution based on the data and hypotheses being tested. The test statistic should be able to capture the effect or difference being examined.

Calculate the critical region: The critical region is the set of values of the test statistic for which the null hypothesis will be rejected. To determine the critical region, we need to find the values of the test statistic that correspond to the rejection region based on the significance level α.

Use the Poisson distribution: Since the sum of independent Poisson random variables follows a Poisson distribution, we can utilize the Poisson distribution to determine the probabilities associated with different values of the test statistic. We can calculate the probabilities for the test statistic under the null hypothesis.

Compare the probabilities: Compare the probabilities calculated under the null hypothesis with the significance level α. If the calculated probability is less than or equal to α, it falls in the rejection region, and we reject the null hypothesis. Otherwise, if the probability is greater than α, it falls in the acceptance region, and we fail to reject the null hypothesis.

It is important to note that the specific details of determining the rejection region and performing hypothesis testing depend on the specific test being conducted, the data at hand, and the nature of the hypotheses being tested. Different tests and scenarios may require different approaches and considerations.

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Answer:

Not a parallelogram.

Step-by-step explanation:

By the midpoint formula, the midpoint of a segment between \((x_{0},\, y_{0})\) and \((x_{1},\, y_{1})\) is:

\(\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}\).

A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.

The two diagonals of quadrilateral \({\sf ABCD}\) are segment \(\sf{AC}\) and segment \({\sf BD}\), respectively.

Using the midpoint formula, the midpoint of segment \({\sf AC}\) (between \({\sf A}\; (3,\, 3)\) and \({\sf C}\; (-3,\, 1)\)) would be:

\(\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}\).

Likewise, the midpoint of segment \({\sf BD}\) (between \({\sf B}\; (1,\, 2)\) and \({\sf D}\; (-1,\, 4)\) would be \((0,\, 3)\).

Thus, quadrilateral \({\sf ABCD}\) would not be a parallelogram since the midpoints of its two diagonals are not the same.

A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

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The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

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Answer:

\( \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } \)

Step-by-step explanation:

\( {14}^{ - 1} = \frac{1}{14} \)

\( {b}^{ - 2} = \frac{1}{ {b}^{2} } \)

\( \frac{ {14}^{ - 1} {a}^{3} {b}^{ - 2} }{ {c}^{4} } = \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } \)

I think it is found in browser

I hope this was helpful

The monthly deposit Mona's parents need to start making when she is 7 is 109.42 / month.

How to calculate the monthly deposit to save $7500 by the time she reaches 13?

Savings Goal Calculator can be used to calculate this question.

Present Value of $7500 to be achieved at the age of 13 = $5,311.57.

Formula:Future Value = (Present Value) x (1 + i)^n

Where,i = rate of interest = 5% per annum

n = time period = 6 years (13 - 7)

Future Value = $7500 (as per question)

Present Value = ? = (Future Value) / (1 + i)^n= 7500 / (1 + 0.05)^6= 7500 / 1.3401

Present Value = $5,311.57

Let,Monthly Deposit = x

n = time period in months = 6 years (13 - 7) x 12 = 72

Formula:Monthly Deposit = (Future Value - Present Value) x i / [ (1 + i)^n - 1 ]

Monthly Deposit = (7500 - 5311.57) x 0.05 / [ (1 + 0.05)^72 - 1 ]

Monthly Deposit = 2188.43 x 0.05 / 7.759

Monthly Deposit = 109.42 / month

Therefore, the monthly deposit Mona's parents need to start making when she is 7 to have $7500 by the time she reaches the age of 13 is 109.42 / month.

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Answer:

f(x) -> 0

Step-by-step explanation:

Notice for very big values, the fraction gets smaller and smaller. Therefore, that's your answer.

You could further prove this using the epsilon-delta definition, but that is trivial and left as an exercise to the reader.

Answer:

81.25%

Step-by-step explanation:

x = Pablo's money

y = Mary's money

y + 0.2x = 1.25×0.8x = x

y = 0.8x

or

x = y/0.8 = 1.25y

her money is 80% of his money, or in other words, he has 25% more money than her to begin with.

but now she gives him 20% of her money.

x + 0.2y = a × 0.8y

1.25y + 0.2y = a×0.8y

1.45y = a×0.8y

a = 1.45/0.8 = 1.8125 = 81.25%

if she gives him 20% of her money, he would then have 81.25% more money than her.

Answer: bro just look it up fr fr

Step-by-step explanation:

The least common denominator of 1/5 and 2/3 is 15

Given the fractions 1/5 and 2/3

The denominators are 5 and 3

The least common denominator is 5 * 3 = 15

This is the least number which both 5 and 3 are factors of.

To find the worst-case number of boxes you will have to open to get 5 boxes of the same color from 20 boxes of hats of four different colors, we can use the pigeonhole principle.The pigeonhole principle states that if there are n pigeonholes and more than n pigeons, then there must be at least one pigeonhole with at least two pigeons.

In other words, if there are more items than containers to put them in, then at least one container must have more than one item.In this case, we have 20 boxes and 4 different colors. Without loss of generality, we can assume that we have 5 boxes of each color. So, we can think of this as having 5 pigeonholes (one for each color) and 20 pigeons (one for each box).

We want to find the worst-case scenario for getting 5 boxes of the same color, so we want to minimize the number of boxes we have to open. To do this, we want to maximize the number of boxes we can eliminate with each opening. The best strategy is to open a box of each color at each step. That way, we can eliminate 4 boxes with each step and we can be sure that we won't miss any colors if we get to step 5 without finding 5 boxes of the same color.

The worst-case scenario is when we have opened 16 boxes and still haven't found 5 boxes of the same color. At that point, we must have at least 4 boxes of each color left, and we can eliminate at most 3 of them with each step. So, we need at least 2 more steps to find 5 boxes of the same color. Therefore, the worst-case number of boxes we'll have to open is 16 + 2 × 3 = 22.

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Answer:

506

Step-by-step explanation:

8³ - 9 · 2 ÷ 3

Use order of operations:

Parentheses

Exponent

Multiplication/Division (left to right)

Addition/Subtraction (left to right)

First, simplify the exponent.

512 - 9 · 2 ÷ 3

Now do multiplication.

512 - 18 ÷ 3

Then division.

512 - 6

Finally, subtraction.

506

Answer:

8^3 - 9 * 2 ÷ 3 = 506/1 = 506

Step-by-step explanation:

Exponentiation: 8 ^ 3 = 512

Multiple: 9 * 2 = 18

Divide: : 3 = 18 : 3 = 6

Subtract: = 512 - 6 = 506

Answer:

X = 18

Step-by-step explanation:

X - 7 = 11

Add 7 to both sides

X - 7 + 7 = 11+7

X = 18

Answer:

250°

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

I did it

There is enough evidence to suggest that the proportion of attendees who are more likely to visit an exhibit when there is a giveaway is different from 55%

To determine if there is enough evidence to reject the claim that 55% of attendees are more likely to visit an exhibit when there is a giveaway, we can conduct a hypothesis test.

Let's state the hypotheses:

Null Hypothesis (H0): The proportion of attendees who are more likely to visit an exhibit with a giveaway is 55%.

Alternative Hypothesis (Ha): The proportion of attendees who are more likely to visit an exhibit with a giveaway is different from 55%.

We can calculate the test statistic using the formula:

\[z = \frac{{\hat{p} - p_0}}{{\sqrt{\frac{{p_0 \cdot (1 - p_0)}}{n}}}}\]

Where:

\(\hat{p}\) is the observed proportion (720/1100 = 0.6545)

\(p_0\) is the claimed proportion (0.55)

n is the sample size (1100)

Computing the test statistic, we find:

\[z = \frac{{0.6545 - 0.55}}{{\sqrt{\frac{{0.55 \cdot (1 - 0.55)}}{1100}}}} = 6.5424\]

At a significance level of 0.05, we compare the test statistic with the critical value of the standard normal distribution. The critical value for a two-tailed test is approximately ±1.96. Since the calculated test statistic (6.5424) is greater than 1.96, we reject the null hypothesis..

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Answer: 6 miles

Step-by-step explanation: 1/3 hour = 2

1 hour = 6 (2x3=6)

Answer:

6 miles

Step-by-step explanation: