One solution of the quadratic equation X2 – 19x + 48 = 0 is 3. What is the other solution?
Your answer:

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

\(\sqrt{17^2+7.6^2}\)=c

c=18.6214

corrected to 1dp= 18.6 m

In a table cell, enter a formula. Choose the table cell in which you wish the result to appear.

A sequence is a list of objects that is in order in mathematics (or events). Similar to a set, it has members (also called elements, or terms). You should be familiar with the following four main categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. A set of numbers connected by a rule is referred to as a number sequence. You can determine the following numbers in the sequence if you figure out the rule. Therefore, adding 6 each time is the rule for this sequence.

given

In a table cell, enter a formula. Choose the table cell in which you wish the result to appear.

Delete the contents of the cell if it is not empty. Click Formula under the Data group on the Layout tab of the Table Tools.

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The equivalent effective rate per year would be approximately 3.7%.

To determine the number of times interest would be compounded in one year, we need to convert the interest rate from a decimal to a percentage. In this case, the interest rate is 3.6% per annum.
The number of compounding periods per year can be calculated using the formula:
Number of compounding periods = 100 / interest rate
Using this formula, we have:
Number of compounding periods = 100 / 3.6
Number of compounding periods = 27.78

Since we cannot have a fractional number of compounding periods, we would round this value to the nearest whole number. Therefore, the interest would be compounded 28 times in one year.
To calculate the equivalent effective rate per year, we need to use the formula:
Effective Rate = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1
Plugging in the values, we get:
Effective Rate = (1 + (0.036 / 28))^28 - 1
Effective Rate ≈ 0.037 or 3.7%

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Answer:

10 is when it will be at 1 foot, and 11 is when it will be less

Step-by-step explanation:

The value of the discriminant in the quadratic equation 2x² 5x + 3 = 0 is 1.

The discriminant of a quadratic equation is the expression under the square root sign in the quadratic formula. It is used to determine the number and type of solutions for the equation. In the case of the equation 2x² 5x + 3 = 0, the discriminant can be found by using the quadratic formula and substituting the values for a, b, and c. The formula is given by b² - 4ac, where a = 2, b = 5 and c = 3. So the discriminant is then 5² - 4(2)(3), which is equal to 1. This means that the equation has a single real solution, which is -1.

Discriminant = b² - 4ac

= 5² - 4(2)(3)

= 1

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Answer:

$38

Step-by-step explanation:

See attachment

To help account for variability, the pollster used a simple random sample.

Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.

In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.

Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.

In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.

Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.

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the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

Answer:

second x -1,-3,-5 y 1 3 5 for proportional relation

As per the question, All four students A, B, C, and D are loss-averse over money and have the same value function as below:v(x dollars)={√x     x ≥ 0   {-2√-x  x < 0They are also loss averse over mugs and have the same value function.

v(y mugs)={3y y ≥ 0
        {4y y < 0
Now, we have to find the values of a, b, c and d as below:
- Student A owns a mug and is willing to sell it for a price of a dollars or more. i.e v(a) = v(0) + v(a-A), where A is the initial endowment of A. According to the given function, v(0) = 0, v(a-A) = 3, and v(A) = 4.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. i.e v(B-b) = v(B) - v(0), where B is the initial endowment of B. According to the given function, v(0) = 0, v(B-b) = -4, and v(B) = -3.
So, b ≤ B+1/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. i.e v(c) = v(0) + v(c), where C is the initial endowment of C. According to the given function, v(0) = 0, v(c) = 3.
So, c = C/2
- Student D is indifferent between losing a mug and losing d dollars. i.e v(D-d) = v(D) - v(0), where D is the initial endowment of D. According to the given function, v(0) = 0, v(D-d) = -3.
So, d = D/2
2) In this case, value function for money changes to:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
However, the value function for mugs remains the same:v(y mugs)={3y y ≥ 0
         {4y y < 0
Therefore, values for a, b, c, and d will remain the same as calculated in part (1).
3) In this case, students are not loss-averse. Value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs:v(y mugs)={3y y ≥ 0
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 3 initially and he would sell it for 3 or more.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3
4) In this case, value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs: Mug will have a value of 4 for someone who owns it and 3 for someone who does not own it.
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 4 initially and he would sell it for 4 or more.
So, a ≥ A+2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially and he would like to buy it for 3.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3.

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Given,Three possible risk scenarios X, Y and Z. The initial assessment found that X is twice as likely as Z and Y is three times as likely as Z.

Probability of X is p(X) = 2p(Z)
Probability of Y is p(Y) = 3p(Z)
Probability of Z is p(Z)Let the probability of Z be p. So, the probability of X and Y can be written as:
p(X) = 2p(Z)p(Y) = 3p(Z). And, Total probability, p(X) + p(Y) + p(Z) = 1. Given that, p(X) + p(Y) + p(Z) = 12p(Z) + 3p(Z) + p(Z) = 1(6p(Z) = 1)p(Z) = 1/6. Therefore, p(X) = 2p(Z) = 2(1/6) = 1/3p(Y) = 3p(Z) = 3(1/6) = 1/2. Hence, the probability of X, Y, and Z are p(X) = 1/3, p(Y) = 1/2, and p(Z) = 1/6 respectively.

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The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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The factor and levels in the scenario is,

Factor = dip flavor. Levels = strawberry, orange, and banana.

What is popsicles?

A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.

There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.

We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana

Therefore, we have

factor = dip flavor and levels = strawberry, orange, and banana.

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From the power rules, it is possible to prove that \((\frac{1}{4})^{-4 }\)=256.

The main power rules are presented below.

For proving the exercise, you should follow the steps below.

For this, you should write the reciprocal number with the exponent positive. Thus,\((\frac{1}{4})^{-4 }= 4^{4 }\)

In the previous step, you found \(4^{4 }\). This represents that 4 x 4 x 4 x 4= 16 x 16=256.

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You fail to reject the null hypothesis, there is insufficient evidence to conclude that there is a significant difference between the population means.

a) Check the conditions for the F Distribution.

The F-distribution should be used when two variances are being compared.

It is a comparison of two means in two groups.

In general, we assume the following for the F Distribution:

The sample observations are random and independent. Populations have normal distributions. Homogeneity of variances in the two populations is essential.

Homogeneity of variance means that the variance in the population is identical. It is important to verify the assumptions in order to use F Distribution.

b) What is the hypothesis?

The hypothesis is a statistical explanation or statement that describes the relationship between two variables.c)

What are dfr and dfe?

The number of degrees of freedom for the numerator (dfr) and the denominator (dfe) is defined as the degree of freedom in the numerator (df1) and the degree of freedom in the denominator (df2).

The dfr is the degrees of freedom in the numerator, which equals the number of groups minus one.

The dfe is the degrees of freedom in the denominator, which equals the sum of the sample sizes minus the number of groups.d) What are MSt and MSe?

MSt represents the mean square error of the numerator, while MSe represents the mean square error of the denominator.

e) Find the F statistic.

The F statistic is the ratio of the two variances (MSt/MSe).

f) Find and Interpret the p-value.The p-value is the probability of seeing data as extreme as ours if the null hypothesis is true.

A low p-value (less than the alpha level) indicates that there is evidence to reject the null hypothesis.

g) Based on the hypothesis test, what is your conclusion about the population means?

To draw conclusions about the population means based on a hypothesis test, you need to analyze the p-value.

If the p-value is less than or equal to the alpha level, reject the null hypothesis, and if the p-value is greater than the alpha level, fail to reject the null hypothesis. If

you fail to reject the null hypothesis, there is insufficient evidence to conclude that there is a significant difference between the population means.

If you reject the null hypothesis, there is significant evidence to conclude that there is a significant difference between the population means.

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Answer:

C.

Step-by-step explanation:

The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

An equation is an expression that shows the relationship between two or more numbers and variables.

Plotting the graph using geogebra online graphing tool.

The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

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(a) The predicted distance a golf ball will travel when the club-head speed is 100 mph is 246.67 yards.

(b) The residual, which measures the difference between the observed distance and the predicted distance, is -18.33 yards.

To calculate the predicted distance (a), we substitute the given club-head speed of 100 mph into the equation y = 2.8333x - 22.4967, where x represents the club-head speed and y represents the distance traveled by the golf ball. Plugging in x = 100 mph, we get:

y = 2.8333 * 100 - 22.4967

y = 283.33 - 22.4967

y = 260.8333

Therefore, the predicted distance is 260.8333 yards, which can be rounded to 246.67 yards.

To find the residual (b), we compare the observed distance of 265 yards with the predicted distance of 246.67 yards. The residual is calculated by subtracting the predicted distance from the observed distance:

Residual = Observed distance - Predicted distance

Residual = 265 - 246.67

Residual = 18.33 yards

Since the observed distance is greater than the predicted distance, the residual is positive. However, by convention, the residual is often presented as a positive value. Therefore, the residual is 18.33 yards.

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Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ - 1, 4 ] , then

f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36

f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then

average rate of change = \(\frac{-36-(-6)}{4-(-1)}\) = \(\frac{-36+6}{4+1}\) = \(\frac{-30}{5}\) = - 6

Answer:

3 times 1

Step-by-step explanation:

esaey

Answer:

3.045 minutes

Step-by-step explanation:

\((3\times 1)+(4\times 0.01)+(5\times 0.001)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=3\times \:1+4\times \:0.01+5\times \:0.001\\\\=3+4\times \:0.01+5\times \:0.001\\\\=3+0.04+5\times \:0.001\\\\=3+0.04+0.005\\\\=3.045\)

The exact values of sin θ/2 and tan θ/2 given below as:

Given that tan θ = -5/12 and θ lies between 90° and 180°, the values of sin θ/2 and tan θ/2 can be found as follows:

tan θ = -5/12

θ =  180 -tan⁻¹-(5/12)

θ = 157.38

sin θ/2  = sin 157.38/2

sin θ/2 = 0.9806

tan θ/2 = tan 157.38/2

tan θ/2 = 4.99

In conclusion, the values of the sine and tangent are found from the given values.

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To determine if the average commute time in your county differs from the national average of 40 minutes, you will need to conduct a hypothesis test. The appropriate test to use in this case is a one-sample t-test.

The one-sample t-test is used to compare the mean of a single sample to a known population mean when the standard deviation of the population is unknown.

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The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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Answer:

X = 1 and below

Step-by-step explanation:

since X is less than 2.

the value of X will be 1 and below.

Answer:

Below in bold.

Step-by-step explanation:

The area of each triangle = 1/2 * height * base

As it is a right triangle the height is equal to one of its sides, so

Area of 1 triangle = 1/2 * 6 * 5

= 15 cm^2

Area of mosaic = 150 * 15

= 2250cm^2.

Answer:

66 degrees

Step-by-step explanation:

I dont remember the name of this law but ik its right

Answer:

H

Step-by-step explanation:

well it would be a proportion. so 5 cans per 3 days gives you 5/3. then for the next proportion. it would also be cans over days. so c / 7

5/3 = c/7

answer is H