What is 82 + −71? 153 11 −11 −153

We cannot determine the size of the population as t approaches infinity with the given information.

To determine the size of the population as t approaches infinity, we need to evaluate the limit of P(t) as t approaches infinity.

However, the given information only provides the size of the population at time t=1, so we cannot determine P(t) directly.

The terms "90 3+e-21 3" do not seem to be related to the question, so we will assume they are not relevant.

Without additional information about the population growth rate or any other factors, we cannot make any assumptions about how the population will behave over time.

Therefore, we cannot determine the size of the population as t approaches infinity with the given information.

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Answer:

-3/2

Step-by-step explanation:

are there answer choose

The length of the missing leg is approximately 72 centimeters.

To find the length of the missing leg, we can use the Pythagorean theorem.

According to the given information, we have a right triangle with two known sides:

One leg: 90 cm

Hypotenuse: 54 cm

Let's denote the missing leg as "x" cm.

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Therefore, we can set up the following equation:

\(90^2 + x^2 = 54^2\)

Simplifying the equation, we have:

\(8100 + x^2 = 2916\)

Subtracting 2916 from both sides:

\(x^2 = 8100 - 2916\)

\(x^2 = 5184\)

Taking the square root of both sides:

x = √5184

x ≈ 72 cm (rounded to the nearest tenth)

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Let cost be x

\(\\ \bull\sf\dashrightarrow x+0.15x=1449\)

\(\\ \bull\sf\dashrightarrow 1.15x=1449\)

\(\\ \bull\sf\dashrightarrow x=\dfrac{1449}{1.15}\)

\(\\ \bull\sf\dashrightarrow x=1260\)

Answer:

Solution given:

Vat=15%

Selling price with vat=Rs1449

Selling price with out vat=?

We have

Selling price with vat=Selling price without vat +Vat amount

Rs 1449=selling price without vat +vat % of selling price without vat

Rs1449=Selling price without vat(1+vat/%)

Selling price without vat=\(\bold{\frac{Rs1449} {1+\frac{15}{100}}}\)

Selling price without vat=\(\bold{\frac{Rs1449}{1.15}}\)

Selling price without vat=Rs1260

The different ways that the students can elect a president and a vice president will be 13110.

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

Given data;

Total no of students =  115

The total number of ways to elect a president = 115

If one person is elected as the president the total number of ways to elect a president  = 114

The different ways that the students can elect a president and a vice president are found as;

⇒ 115 ways × 114 ways

⇒ 13110 ways

Hence the different ways that the students can elect a president and a vice president will be 13110.

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Answer:

85%

Step-by-step explanation:

Answer:

about 84

Step-by-step explanation:

28/33=84/99

-4 is less than √-4 or 2i, with -4 being a real number and √-4 being an imaginary number.


When comparing -4 and √-4, we need to consider that √-4 is the square root of -4, which is a complex number.

The square root of a negative number involves the use of imaginary numbers.

In this case, √-4 can be written as 2i, where i is the imaginary unit (√-1).

Comparing -4 and 2i, we can see that -4 is a real number, while 2i is an imaginary number.

In the real number system, -4 is less than any positive number, including imaginary numbers.

Therefore, we can conclude that -4 is less than √-4 or 2i.

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The width of the rectangle is twice the length of the rectangle

The given parameters are:

Width = 4 cm

Length = 2 cm

Express 4 cm as 2 * 2 cm

Width = 2 * 2 cm

Substitute Length = 2 cm in Width = 2 * 2 cm

Width = 2 * Length

This means that the width of the rectangle is twice the length of the rectangle

Hence, the true statement is that the width of the rectangle is twice the length of the rectangle

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the standard deviation is not less than 13 hours based on the given sample data.

To calculate the standard deviation of the sample mean, we can use the formula:

Standard deviation of the sample mean = Standard deviation of the population / √(sample size)

Given that the population standard deviation is 180 and the sample size is 345, we can plug in these values:

Standard deviation of the sample mean = 180 / √345 ≈ 9.693

The standard deviation of the sample mean represents the average variability or spread of sample means that could be obtained from repeated sampling. In this case, it indicates how much the sample means would typically vary from the true population mean. A smaller standard deviation of the sample mean suggests that the sample means are closer to the population mean, leading to greater precision and accuracy in estimating the population mean.

Regarding the assumptions for the confidence interval at 95%, they typically include:

1. Random Sample: The sample should be selected randomly from the population to ensure its representativeness.

2. Independence: The observations within the sample should be independent of each other. Each data point should not be influenced by others.

3. Normality or Large Sample Size: The population distribution should be approximately normal, or the sample size should be large enough to satisfy the Central Limit Theorem. The CLT states that for a large sample size, the distribution of the sample mean becomes approximately normal, regardless of the population distribution.

4. Unbiasedness: The sample should be unbiased and free from selection or measurement bias.

As for testing the claim that the standard deviation is at least 13 hours, we can use a one-sample t-test with the null and alternative hypotheses:

Null hypothesis (H0): The standard deviation is less than 13 hours.

Alternative hypothesis (Ha): The standard deviation is at least 13 hours.

Using the sample data, we can calculate the test statistic:

t = (sample standard deviation - claimed standard deviation) / (standard deviation of the sample mean / √sample size)

t = (10.4 - 13) / (10.4 / √32) ≈ -2.035

Next, we determine the critical value at a significance level (α) of 0.05 for a one-tailed test with degrees of freedom (df) = sample size - 1 = 32 - 1 = 31. Checking a t-distribution table or using a statistical calculator, we find the critical value to be approximately -1.697.

Since the calculated t-value (-2.035) is less than the critical value (-1.697), we have evidence to reject the null hypothesis. Therefore, we can conclude that the standard deviation is not less than 13 hours based on the given sample data.

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Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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Answer: x=−6/5

Step-by-step explanation: Hope this help :D

Answer:

-1.2

Step-by-step explanation:

5x+13=7

5x= -6

x=-6/5 or -1.2

Answer:

15% & 3/20

Step-by-step explanation:

convert decimals to % by multiplying by 100

.15 * 100 = 15%

15/100

simplify

3/20

Answer:

0.15= 15%  

0.15= 15/100

Step-by-step explanation:

0.15 - move the point two times to the right and you have 15 so it will be 15%

15 percent - 15 per cent percent=100 so it will be 15 out of 100 which is the same as 15/100

Answer:

Yeah I will try to help.

Answer:

as below

Step-by-step explanation:

9/32=3/4 * y/x

becasue this is multiplication of fractions ,  its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32

y=3

x=8

so the answer is 3/8 mile

The length of the northern side of a rectangular plot is 3/8 mile.

Here,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot = 3/4 mile.

We have to find the length of the northern side.

What is Area of rectangle?

The area of a rectangle is product of length and width.

Now,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot ( width ) = 3/4 mile.

Let the length of the northern side ( length ) = x mile

So,

Area of rectangle = length x width

\(\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}\)

Hence, The length of the northern side of a rectangular plot is 3/8 mile.

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Answer:

1450/29.6 = 49 seconds

Step-by-step explanation:

have a good day but please give me a brainliest

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$120000\\ r=rate\to 11.5\%\to \frac{11.5}{100}\dotfill &0.115\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases}\)

\(A=120000\left(1+\frac{0.115}{1}\right)^{1\cdot 7} \implies A \approx 257101.92 \\\\\\ \underset{earned~interest}{\stackrel{257101.92 - 120000}{\text{\LARGE 137101.92}}}\hspace{10em}\underset{adjusted~balance}{\stackrel{257101.92 - 25000}{\text{\LARGE 232101.92}}}\)

4sinθ - 1 = 0`. We need to find all the solutions of the given equation. Now, let us solve the equation:

\(4sin\theta - 1 = 0 \\ 4sin\theta = 1 \\sin\theta = 1/4\)

We know that the general solution of the equation `sinθ = k` is given by \(`\theta = n\pi + (-1)n\alpha `\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`.

Therefore, \(sin^-1(1/4) = 0.2527\) (rounded to four decimal places)Putting k = 1/4, we get\(\theta = n\pi + (-1)n\ sin^_1 (1/4)\) for any integer `n`. \(\theta = n\pi + (-1)n\ sin^_1(1/4)\) for any integer `n`. To solve the given equation 4sinθ - 1 = 0, we first need to express the equation in the form of `sinθ = k`.

Then, we use the general solution of the equation `sinθ = k`, which is given by \(`\theta = n\pi + (-1)n\alpha\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`. For the given equation, we get \(sin\theta = 1/4\). The principal value of \(`sin^_1(1/4)\)` is 0.2527 (rounded to four decimal places).

Therefore, the general solution of the equation \(4sin\theta - 1 = 0\ is `\theta = n\pi + (-1)n\ sin^-1(1/4)\)` for any integer `n`. The solutions of the given equation \(4sin\theta - 1 = 0\ are `\theta = n\pi + (-1)n\ sin^-1 (1/4)`\)for any integer `n`.

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Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Answer:

\(x=\frac{27}{10}\)

Step-by-step explanation:

\(\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}\)

\(\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}\)

\(-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}\)

\(-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}\)

\(\frac{x}{6}=\frac{9}{20}\)

\(\frac{6x}{6}=\frac{9\times \:6}{20}\)

\(x=\frac{27}{10}\)

Answer:

2.7

Step-by-step explanation:

x/2-1/5=x/3+1/4

Collecting like terms of x on the left side we have;

x/2-x/3= 1/5 +1/4

(3x-2x)/6 = (4+5) /20

x/6 = 9/20

x= (9x6)/20 = 27/10 = 2 7/10 = 2.7

Answer:

62.5

Step-by-step explanation:

Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5

Answer:

\( - 6 \frac{1}{3} \)

Step-by-step explanation:

\( \frac{10}{3} - \frac{1}{3} - \frac{29}{3} - ( - \frac{1}{3} ) \\ \\ = \frac{10}{3} - \frac{1}{3} - \frac{29}{3} + \frac{1}{3} \\ \\ = \frac{10}{3} - \frac{29}{3} - \frac{1}{3} + \frac{1}{3} \\ \\ = \frac{10 - 29}{3} \\ \\ = \frac{ - 19}{3} \\ \\ = - 6 \frac{1}{3} \)

Answer:

First question This parabola opens  to the right  so the standard form of the equation for this parabola is y^2 = 4px

for this question x=-2

2

0

2

for the third question The equation of the parabola is y^2 = 8x

Step-by-step explanation:

The equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

From the graph the equation will be:

y² = 4px

The focus is (2, 0)

As the directrix is x = -2

The value of p = 2.

Thus, the equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.

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Answer: the meaning of the variable m is Meagan, M is a shortened version to show that 3 is how much money she has.

Step-by-step explanation:

hope this helps ^^

Answer:

Step-by-step explanation:

Given "Two triangles that have three pairs of proportional sides are always similar."

Triangle 1: 18, 24, 36

Triangle 2: 16, 18, 24

16/18 = 8/9

18/24 = 3/4

24/36 = 2/3

So the three pairs of sides are not proportional and the triangles are not similar.

No as

One ratio is unsimilar so triangles are not similar

The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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I recommend using a class interval of 36.9 for this set of data.

To determine the recommended class interval for the given data, we can use the formula:

Class Interval = (Highest Value - Lowest Value) / Number of Classes

The number of classes is subjective, but a common choice is to use the Sturges' Rule, which is given by the formula:

Number of Classes = 1 + 3.3 * log10(Number of Observations)

Applying Sturges' Rule to the given data:

Number of Classes = 1 + 3.3 * log10(230)
Number of Classes ≈ 8.6

Round the number of classes up to the nearest whole number:

Number of Classes = 9

Now we can calculate the class interval:

Class Interval = (567 - 235) / 9
Class Interval = 332 / 9
Class Interval ≈ 36.9

Round the class interval to 1 decimal place:

Class Interval = 36.9

I recommend using a class interval of 36.9 for this set of data.

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