can you solve this quick please.

16.32 X 8.1 = 132.192

Answer:

BC is 28

Step-by-step explanation:

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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The inequality that represents the situation is given by:

\(g \geq 14\)

---------------------

---------------------

From the bullet points, it is found that the minimum amount of goals that Bo may have scored is:

\(M = 7\times2 = 14\)

That is, in each game, he scored exactly 2 goals, leading to a minimum total of 14 goals.

---------------------

Thus, the inequality that models the situation is:

\(g \geq 14\)

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Answer:

51

Step-by-step explanation:

they are congruent so they are equal to eachotjer

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The solution to the vector-valued differential equation is: r(t) = \((8 * e^{(5t)}, 2 * e^{(5t)}, 6 * e^{(5t)})\). The general solution can be found by using the exponential function.

To find the solution of the given differential equation r'(t) = 5r(t) with initial condition r(0) = (8, 2, 6), we first recognize that this is a first-order linear homogeneous differential equation.
Let r(t) = (x(t), y(t), z(t)). Then, we have the following three scalar differential equations:
1. x'(t) = 5x(t)
2. y'(t) = 5y(t)
3. z'(t) = 5z(t)
Now, we can solve each equation individually:
1. x(t) = x(0) * \(e^{(5t)}\) = 8 * \(e^{(5t)}\)
2. y(t) = y(0) * \(e^{(5t)}\) = 2 * \(e^{(5t)}\)
3. z(t) = z(0) * \(e^{(5t)}\) = 6 * \(e^{(5t)}\)
Thus, the solution to the vector-valued differential equation is:
r(t) = \((8 * e^{(5t)}, 2 * e^{(5t)}, 6 * e^{(5t)})\)

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The account balance as it relates to simple interest is

interest + principal = account balance

We know that the formula for simple Interest as

SI = (P x R x T)/ 100

where P is the principal

R is the rate

T is time in years.

Now, to calculate Amount the formula used is

Amount (A) = Principal (P) + Interest (I)

Thus, the required formula is Amount (A) = Principal (P) + Interest (I).

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Answer:

No, it is not a right triangle.

Step-by-step explanation:

First lets define a right triangle.  A right triangle is a triangle with one side that equals 90 degrees.  When we look at 13, 64, and 86, we can see there are no sides that equal 90 degrees.

Answer:

no solution

Step-by-step explanation:

3x - 4 = 3x - 10

Subtract 3x from each side

3x-3x - 4 = 3x-3x - 10

-4 = -10

This is never true so there is no solution

Answer:

Step-by-step explanation:

I think you might have copied down the problem incorrectly.

If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:

3x-4=3x-10

   +10    +10

3x+6=3x

-3x     -3x

6=0 (which is FALSE)

Hope this helps!

P.S. Please give me brainliest. Thanks :)

Answer:

-3m

Step-by-step explanation:

everyone knows we should take the unknown letter to a one side and numbers to another side.

so first ;

9m + 14 = -13

9m = -13 - 14

9m =-27

9m/9 = -27 / 9

m = -3

-3 is the finale answer

If it intersects that line at x=8, then the point where it intersects is (8, 24) -- just plug x=8 into the equation.

acc to our question-

Since it's perpendicular, you know the slope has to be -1/m of the original slope, m, which is m=7/2. The slope of the perpendicular is therefore -2/7.

You know a point, and the slope, which is enough to find the equation of a line.

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The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

\(\int p(t)dt = \int\frac{1}{400}dt\)\(\int p(t)dt = \frac{1}{400}t\)

\(\mu=e^{\int p(t)dt}\)

\(\mu=e^{\frac{t}{400}}\)

So, S(t) = \(\frac{\int\mu q(t)dt+C}{\mu}\)

S(t) = \(\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}\)

S(t) = \(e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)\)

Now solving the bracket

S(t) = 4000 + \(e^{\frac{-t}{400}}\)C.....(1)

At S(0) = 100

100 = 4000 + \(e^{\frac{-0}{400}}\) C

100 = 4000 + \(e^{0}\) C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

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The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =

Answer:

B AND E (8-10x+6 & -10x+14)

Step-by-step explanation:

hope this helps !!!!!!!

For a random sample of 155 observations results in 62 successes.

a) A 90% confidence interval for the population proportion of successes is equals to the (0.335 , 0.465).

b) A 90% confidence interval for the population proportion of failure is equals to the (0.535 , 0.665).

We have a random sample of 155 observations results in 62 successes. So,

Observed value, x = 62

Sample size,n = 155

Population Proportion, p = x/n

= 62/155

= 0.4

a) We have to determine 90% confidence interval for the population proportion of successes. Using the distribution table, for 90% confidence interval, z-score value is equals to 1.6. Consider Confidence interval formula with proportion, CI \(= p ± z×\sqrt\frac{p(1-p)}{n}\)

substitute all known values in above formula, \(= 0.4 ± 1.64\sqrt\frac{0.4(1- 0.4)}{155}\)

= 0.4 ± 0.0645

= (0.4 - 0.0645 , 0.4 + 0.0645)

= (0.335 , 0.465)

b) Now, we have to determine a 90% confidence interval for the population proportion of failures.

Now consider, here failure observed values, x = 155 - 62

= 93

proportion, p = x/n

= 93/155 = 0.6

Consider the confidence interval formula, CI \(= p ± z×\sqrt\frac{p(1-p)}{n}\)

substitute values, \(= 0.6 ±1.64×\sqrt\frac{0.6(1-0.6)}{155}\)

= 0.6 ± 0.0645

= (0.6 - 0.0645 , 0.6 + 0.0645)

= (0.535 , 0.665)

Hence, required value is (0.535 , 0.665).

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Based on the above results, there is no difference between the microscope brands.

We are given that;

\(H_0: mu_D = 0; H_a: mu_D notequalto 0 H_0: mu_D greaterthanorequalto 0; H_A: mu_D < 0 H_0: mu_D lessthanorequalto 0; H_A: mu_D > 0\)

Now,

The null hypothesis is that the mean difference between Brand A number of defects and the Brand B number of defects is equal to zero. The alternative hypothesis is that the mean difference between Brand A number of defects and the Brand B number of defects is not equal to zero.

The decision rule for a two-tailed test at the 5% significance level is to reject the null hypothesis if the absolute value of the test statistic is greater than or equal to 2.571.

The value of the test statistic is -2.236. Since the absolute value of the test statistic is less than 2.571, we fail to reject the null hypothesis.

So, based on the above results, there is not enough evidence to conclude that there is a difference between the microscope brands.

Therefore, by Statistics the answer will be there is no difference between Brand A number of defects and the Brand B.

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If one of the measurements taken by a surveyor is drastically different from the other measurements, the surveyor should investigate the cause of the discrepancy and determine whether the measurement is accurate or not.

Some possible reasons for a measurement to be drastically different could be errors in equipment, human error, environmental factors, or other sources of interference.

To verify the accuracy of the measurement, the surveyor may take additional measurements and compare them to the initial measurement, or they may use alternative methods to obtain the same measurement. If the measurement is found to be inaccurate, the surveyor may need to recalibrate or replace the equipment, or take steps to eliminate or minimize the sources of interference.

It is important for the surveyor to ensure the accuracy of their measurements to ensure the reliability of their data and the validity of their conclusions.

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Step-by-step explanation:

first, 385.14×954.3 = 367539.102

then,

50/100×367539.102

=1/2×367539.102

=1×183769.551

=183769.551

There you go :))

Answer:

Well, Your best choice is y=1/4x+ 1

Sorry, I don't have a explanation. Hope This Helps!!~

Answer:

0,0 aka the Orgin

Step-by-step explanation:

The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.

In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.

Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.

By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.

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Answer:

$59.13

Step-by-step explanation:

6% of 55.78= 3.35

3.35+55.78=59.13

Answer:

A. $260

Step-by-step explanation:

bob = $250

diana = 4/5 of bob

diana = 4/5 x $250

diana = $200 = 100%

30 % inc means she added 30% on top of what she had already which was 100%

30% + 100& =  130%

if 100 % = %200

130% = 130% x $200

                 100%

= $260

Answer:

A) (15 x $3) + (10 x $2) + (12 x $1) = X

B) $77      

Step-by-step explanation:

A) Each wrapping paper is 3 dollors, and they bought 15 (15 x 3)

Each greeting card is 2 dollors, and they bought 10 (10 x 2)

Each roll of ribbon is 1 dollors, and they bought 12 (12 x 1)

B) 15 times 3 is 45

10 times 2 is 20

12 x 1 is 12

45 + 20 + 12 = 77

Answer:

14

Step-by-step explanation:

so, 26+5-13-4=ANSWER!!!!!

26 cards to begin with.

Cate added 5 cards to the deck. +5

elena took 13 cards from the deck. -13

Cate took 4 cards from the deck. -4

Answer: XYW = 32, WYZ = 85

Step-by-step explanation:

We are looking for what x is, which we can find with the formula:

117 = (6x+44) + (-10x+65)

117 = -4x + 109

8 = -4x

x = -2

We can verify this is correct by plugging it in and seeing if they add up to 117.

6x + 44 (XYW)

= 6(-2) + 44

= -12 + 44

= 32

-10x + 65 (WYZ)

= -10(-2) + 65

= 20 + 65

= 85

32 + 85 = 117

Answer:

90

Step-by-step explanation:

9 x (3)2 + 9 first do the parenthesis

9 x 9 + 9 I am assuming the 2 was an exponent

81+9

90

The standard deviation of the data set 6.5, 11.2, 13, 6.3, 7, 8.8, and 7.4 is 2.98, rounded to the nearest hundredth.
To find the standard deviation of the given data set {6.5, 11.2, 13, 6.3, 7, 8.8, 7.4}, follow these steps:

1. Calculate the mean (average) of the data set:
  (6.5 + 11.2 + 13 + 6.3 + 7 + 8.8 + 7.4) / 7 = 60.2 / 7 = 8.6

2. Find the difference between each data point and the mean, then square each difference:
  (6.5 - 8.6)^2 = 4.41
  (11.2 - 8.6)^2 = 6.76
  (13 - 8.6)^2 = 19.36
  (6.3 - 8.6)^2 = 5.29
  (7 - 8.6)^2 = 2.56
  (8.8 - 8.6)^2 = 0.04
  (7.4 - 8.6)^2 = 1.44

3. Find the average of these squared differences:
  (4.41 + 6.76 + 19.36 + 5.29 + 2.56 + 0.04 + 1.44) / 7 = 39.86 / 7 = 5.694

4. Take the square root of the average squared difference:
  √5.694 = 2.39 (rounded to the nearest hundredth)

The standard deviation of the data set is approximately 2.39.

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The denominator of the next term in the given Geometric Sequence is 162.

We have been given the following Geometric Sequence whose first four terms are as follows: 1/2, 1/6, 1/18, 1/54

To find the denominator of the next term in the given Geometric Sequence, we need to find the common ratio between consecutive terms of the sequence.

This can be done by dividing any term in the sequence by its previous term or any term after it by its previous term. Therefore, let's divide the second term by the first term:

{1/6}/{1/2} = 1/6. 2/1 = 3

Thus, the common ratio between consecutive terms of the sequence is 1/3.

Now we can use the formula for the nth term of a geometric sequence, where a1 is the first term and r is the common ratio between consecutive terms. This formula is given by:

aⁿ = a₁ rⁿ⁻¹

We need to find the denominator of the next term in the sequence, i.e. the term with index n=5.

We can see that the first term is 1/2 and the common ratio is $1/3. Therefore, the fifth term can be calculated as follows:

a₅ = 1/2 1/3⁴ = 1/2 1/81

= 1/162

Therefore, the denominator of the next term in the given Geometric Sequence is 162.

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