Which of the following is equivalent to 0.00648?
A. 6.48x10'-2
B. 6.48x10'3
C. 0.648x10'3
D. 6.48x10'-3

Answer:a

Step-by-step explanation:

no me aparec e nada lo siento

Answer:

y = -1/8

Step-by-step explanation:

3 + 3y = 1 -13y

add 13y to both sides:

3 +3y + 13y = 1

subtract 3 from both sides:

3y + 13y = 1 - 3

16y = -2

divide both sides by 16:

y = -2/16

simplify:

y = -1/8

Answer:

Because, they don't know the number of games they have lose.

Please mark me as the brainliest.

Answer:

Rs. 3,14,532

Step-by-step explanation:

Answer:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

Step-by-step explanation:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

The true statement is:

Statement 3: A cone is one-third the size of a cylinder with the same height and radius.

Statement 4: A cone has a circular base.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.

Properties of Cone

As, from the properties of cone we can say that.

A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..

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Answer: 36.2

Step-by-step explanation:

a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

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the equation of the ellipse with foci at (-3,0) and (3,0) and a length of the major axis of 10 is \(25x 2 ​ + 16y 2 ​ =1.\)

To find the equation of an ellipse with foci at (-3,0) and (3,0) and a length of the major axis of 10, we can use the standard form of the equation for an ellipse centered at the origin:

\(\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \]\)

where\(\( a \)\) is the semi-major axis and \(\( b \)\)is the semi-minor axis.

The distance between the foci is equal to \( 2c \), where \( c \) is the distance from the center of the ellipse to each focus. In this case, \( c = 3 \), so \( 2c = 6 \).

The length of the major axis is equal to \( 2a \), so \( 2a = 10 \), which means \( a = 5 \).

Now we can find the value of \( b \) using the relationship:

\[ c^2 = a^2 - b^2 \]

Plugging in the values we know:

\[ 3^2 = 5^2 - b^2 \]

\[ 9 = 25 - b^2 \]

\[ b^2 = 25 - 9 \]

\[ b^2 = 16 \]

\[ b = 4 \]

Finally, we can substitute the values of \( a \) and \( b \) into the equation:

\[ \frac{x^2}{5^2} + \frac{y^2}{4^2} = 1 \]

which simplifies to:

\[ \frac{x^2}{25} + \frac{y^2}{16} = 1 \]

Therefore, the equation of the ellipse with foci at (-3,0) and (3,0) and a length of the major axis of 10 is \( \frac{x^2}{25} + \frac{y^2}{16} = 1 \).

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Answer:

One angle is 46° and the other angle is 44°

Step-by-step explanation:

Complementary angle means the angles add up to 90 so:

90 - 44 = 46

Answer:

A makes 10 parts in 1 hour

B makes 4 parts in 1 hour.

then,

A makes 120 parts in a hour.

B makes 48 parts in a hour

Hope this helps!

Mark Brainlest!!!!!

Step-by-step explanation:

Step-by-step explanation:

m∠3+ m∠5 = 180° (co-int angles are supplementary)

5x+ 10 + 3x + 10 = 180° (co-int ∠'s, parallel lines)

8x + 20 = 180

8x = 160

x= 160/8

x= 20°

The value of x is 20 degrees.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles. Meaning that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given that  a ║ b, m∠3 = 5x + 10, and m∠5 = 3x + 10.

Thus interior angles are supplementary;

m∠3+ m∠5 = 180°

5x+ 10 + 3x + 10 = 180°

8x + 20 = 180

8x = 160

x= 160/8

x= 20°

Hence, the value of x is 20 degrees.

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Answer:

y = -2/7x + 4

Answer:

\(\displaystyle \frac{29}{6}\)

Step-by-step explanation:

\(\displaystyle 1+\biggr(-\frac{2}{3}\biggr)-(-m)\\\\\rightarrow 1-\frac{2}{3}+m\\\\\rightarrow \frac{1}{3}+\frac{9}{2}\\ \\\rightarrow \frac{2}{6}+\frac{27}{6}\\ \\\rightarrow \frac{29}{6}\)

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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If the variance of a distribution is 13.53, the value of its standard deviation is, 3.68.

And, If the standard deviation of a distribution is 3.45, the value of variance is, 11.90

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The variance of a distribution is 13.53,

And, The standard deviation of a distribution is 3.45.

We know that;

⇒ Standard deviation = √ Variance

Now, If the variance of a distribution is 13.53,

The value of its standard deviation is,

⇒ Standard deviation = √ Variance

⇒ Standard deviation = √13.53

⇒ Standard deviation = 3.68

And, If the standard deviation of a distribution is 3.45.

The value of variance is,

⇒ Standard deviation = √ Variance

⇒ 3.45 = √ Variance

⇒ Variance = 3.45²

⇒ Variance = 11.90

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Answer:

16.8

Step-by-step explanation:

3x+2y

3(4)+2(2.4)

12+4.8

16.8

The rectangular playing field's dimensions are 85 yards by 26 yards, with a width of 26 yards.

Let x be the width of the rectangular playing field. According to the question, the length of a new rectangular playing field is 8 yards longer than triple the width. Therefore, the length of the rectangular playing field will be (3x + 8) yards.

The perimeter of the rectangular playing field is 376 yards. Thus, the formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. Substituting the values of L and W, we get:

2(3x + 8) + 2x = 376

6x + 16 + 2x = 376

8x + 16 = 376

8x = 360

x = 45

Therefore, the width of the rectangular playing field is 45 yards. And the length will be (3(45) + 8) = 143 yards. Hence, the dimensions of the rectangular playing field are 85 yards by 26 yards, with a width of 26 yards.

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Answer:

The farmer has 30 pigs and 40 chickens.

Step-by-step explanation:

This situation represents a system of equations.

⭐What is a system of equations?

⭐ What are the two equations for this situation?

Pigs and chickens have 1 head, so let's create the equation:

\(x + y = 70\)

This equation represents the number of heads present

Let x = the number of pigs, and let y = the number of chickens

Pigs have 4 legs, while chickens have 2 legs, so let's create the equation:

\(4x + 2y = 200\)

The equation represents the number of legs present

⭐Now that we made the two equations, let's solve the system of equations.

⭐How do you solve a system of equations?

In this case, substitution is the best way we can solve this system of equations.

⭐How do we solve a system using substitution?

To understand substitution, I'll demonstrate it here with our system:

\(x+y = 70\) . . . . (1)

\(4x + 2y = 200\) . . . . (2)

Set equation 1 equal to "y" so we can solve for "x":

\(y = 70 -x\)

Substitute "y" into equation 2:

\(4x+2y = 200\)

\(4x + 2(70-x)= 200\)

\(4x + 140 -2x = 200\)

\(2x + 140 = 200\)

\(2x = 60\)

\(x = 30\)

∴ There are 30 pigs on the farm.

Substitute "x" back into equation 1 to solve for "y":

\(x+y = 70\)

\(30 + y = 70\)

\(y = 40\)

∴ There are 40 chickens on the farm.

The required domain of the given function f(x) = √x+4 is (D) {x|x ≥ -4} respectively.

The domain of a function is the set of values that we are allowed to enter into our function.

This collection includes the x values for functions like f(x).

The set of values that a function can accept as input is known as its range.

The function outputs this list of values once we enter an x value.

Think about the equation y = f(x), where x and y are the independent and dependent variables.

If a value for x successfully enables the creation of a single value y using another value for x, it is said to be in the domain of the function f.

Considering the function's expression:

f(x) = √x+4

We are aware that the set of input values for which the function is real and defined constitutes the function's domain.

We are aware that for the function to continue to be defined, the value included within the radical expression must be larger than or equal to 0.

x+4 ≥ 0

Take 4 off of both sides.

x+4-4 ≥ 0-4

x ≥ 4

Then, the domain is:
{x|x ≥ -4}

Therefore, the required domain of the given function f(x) = √x+4 is (D) {x|x ≥ -4} respectively.

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Correct question:

The graph of the function f(x)=V x+4 is shown below. The domain of the function?

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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The answer of the given question based on the population is , the correct option is B) a parameter.

In statistics, a population is a group or set of individuals, objects, events, or measurements that share at least one common characteristic. This characteristic is usually a variable or a set of variables that the researcher is interested in studying or measuring. For example, the population might be all the adults living in a particular city, or all the trees in a particular forest.

B) a parameter.

A parameter is  value that describes  characteristic of  entire population. It is typically computed from the information obtained from sample of  population, but it is used to describe  entire population. For example, mean income of all households in city is a parameter.

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The length of the curve y^2 = 16(x + 5)^3 for 0 ≤ x ≤ 1 and y > 0 is approximately 789.33 units.

To find the length of the curve y^2 = 16(x + 5)^3 for 0 ≤ x ≤ 1 and y > 0, we can use the arc length formula: L = ∫[a,b] √[1 + (dy/dx)^2] dx

where a = 0, b = 1, and dy/dx is the derivative of y with respect to x.

First, we solve the given equation for y: y^2 = 16(x + 5)^3

y = 4√(x + 5)^3

Taking the derivative of y with respect to x, we get: dy/dx = 6(x + 5)^(1/2)

Substituting into the arc length formula, we get: L = ∫[0,1] √[1 + (dy/dx)^2] dx

= ∫[0,1] √[1 + 36(x + 5)] dx

= ∫[0,1] √(36x + 181) dx

We can evaluate this integral using a substitution:

Let u = 36x + 181

Then, du/dx = 36

And, dx = du/36

Substituting in the integral, we get: L = (1/36) ∫[217,253] √u du

= (1/36) * [ (2/3) * (u^(3/2)) ]_[217,253]

= (1/54) * [(253^(3/2) - 217^(3/2))]

= (1/54) * [(50653 - 8041)]

= (1/54) * 42612

= 789.33 (rounded to two decimal places)

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If the null hypothesis h0:p1−p2=0 is found to be false during testing, it could lead to the rejection of the null hypothesis and acceptance of the alternative hypothesis or Failing to reject the null hypothesis

1. Rejecting the null hypothesis (H0) and accepting the alternative hypothesis (H1): This happens when the sample data provides strong evidence against the null hypothesis, which means there is a significant difference between the two population proportions (p1 and p2).
2. Failing to reject the null hypothesis (H0): This may happen due to a Type II error, where the null hypothesis is false but the test fails to provide enough evidence to reject it. In this case, the difference between the two population proportions may exist, but it is not detected by the test.
So, in summary, if H0 is false in testing the null hypothesis H0: p1 - p2 = 0, the test could lead to either rejecting the null hypothesis and accepting the alternative hypothesis, or failing to reject the null hypothesis due to a Type II error.

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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False, a binary (categorical) predictor should not be used along with nonbinary (numerical) predictors

It is important to note that binary and non-binary predictors can both be utilized.

Categorical variables with two possible outcomes, such as yes/no or true/false, are represented by binary predictors. On the other hand, nonbinary predictors indicate numerical variables that can have a variety of values.

It is feasible to capture the links between several sorts of variables and enhance the predictive ability of a model by using both types of predictors. Utilizing methods like logistic regression and

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Answer:

o.003068mbecause may be the large number are 6,8.3the answer is 3 may be not sure

Given the gluten ratio of 13 mg/L in the food, the gluten ratio is micrograms per milliliter can be shown as 13 μg/mL.

In the question, we are given that a certain food has a gluten ratio of 13 mg/L.

We are asked to find the gluten ratio in micrograms per milliliter.

We know the conversion rates:

1 milligram (mg) = 1000 micrograms (μg).

1 Liter (L) = 1000 milliliters (mL).

Applying these conversion rates to the given gluten ratio for the food, we get:

13 mg/L

= 13 (1 mg)/(1 L)

= 13 (1000 μg)/(1000 mL)

=  13 μg/mL.

Thus, given the gluten ratio of 13 mg/L in the food, the gluten ratio is micrograms per milliliter can be shown as 13 μg/mL.

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Subtracting x from the given equation we get:

Dividing by 6 we get:

Notice that:

Therefore:

Adding (-1/12)² from the above equation we get:

Solving for x we get:

Answer: Completing the square gives us:

Answer:

The equation of hyperbola :  \(\frac{y^{2} }{49 } - \frac{x^{2} }{32 }\)

Step-by-step explanation:

Given - This hyperbola is centered at the origin.

Foci: (0,-9) and (0,9) Vertices: (0,-7) and (0,7)​

To find - Find its equation.

Solution -

We know  that,

Equation of Hyperbola is represented by

\(\frac{y^{2} }{a^{2} } - \frac{x^{2} }{b^{2} }\)

Now,

Given that,

Foci : F(0, -9) and F'(0, 9)

So,

c = 9

And

Vertices : A(0,-7) and A'(0,7)​

So,

a = 7

Also, we know that,

c² = a² + b²

⇒b² = c² - a²

⇒b² = 9² - 7²

⇒b² = 81 - 49

⇒b² = 32

So,

The equation of hyperbola becomes

\(\frac{y^{2} }{49 } - \frac{x^{2} }{32 }\)