what is 3/10 of 68249????????????

Answer:

The lateral surface area of the prism shown is 1021 unit^2.

Step-by-step explanation:

2((21*9)/2) + (17*16) + (21*16) + (14*16) = 1021 unit^2

Answer: The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases

=ph where p represents the perimeter of the base and h represents the height of the prism.

In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given inequality

STEP 2: Simplify the inequality

Solve the other part

STEP 3: Combine the intervals

STEP 4: Merge the overlapping intervals

Hence, the final answer will be given as:

To sketch the region enclosed by the curves \(y=2−x2 and y=x2−3,\) we need to follow these steps:Identify the points of intersection between the two curvesSketch both curves and plot the points of intersectionUse vertical strips to integrate from left to region the bounds of integration for both curvesIdentifying the points of intersection between the two curves:

We find the points of intersection of these curves by equating the two equations, therefore:x2-3 = 2-x2By rearranging this equation we getx2 = 5/2which means that we have two points of intersection, one at (sqrt(5/2), 1/2) and the other at (-sqrt(5/2), 1/2).Sketching both curves and plotting the points of intersection:

First we will sketch y=2−x2 by plotting the y-intercept (2,0) and then sketch the parabola that opens downwards. Then we will sketch y=x2−3 by plotting the y-intercept (-3,0) and then sketch the parabola that opens upwards.

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Answer:

Step-by-step explanation:

the answer is eitehr b or a

Using polynomial division, it is found that the expression that represents the amount of candy sold each year per type at Cassandra's Candy Corner is:

\(2x^2 - 6x + 50\)

The amount of candy sold per type is given by the following division:

\(\dfrac{C(x)}{T(x)} =\dfrac{4x^3+4x^2+52x+400}{2x+8}\)

The denominator can be written as:

\(2x+8=2(x+4)\)

At the numerator, to see if we can simplify, we verify if x = -4 is a factor:

\(C(-4)=4(-4)^3+4(-4)^2+52(-4)+400=0\)

Since C(-4) = 0, it is a factor of the numerator, and thus, since the numerator is of the 3rd degree, it can be written as a 3 - 1 = 2nd degree polynomial multiplying x + 4:

\((ax^2+bx+c)(x+4)=4x^3+4x^2+52x+400\)

\(ax^3+(4a+b)x^2+(4b+c)x+4c=4x^3+4x^2+52x+400\)

Equaling both sides:

\(a=4\)

\(b=4-4a=-4\)

\(4c=400\rightarrow c=100\)

Thus:

\(C(x)=(4x^2-4x+100)(x+4)\)

And:

\(\dfrac{C(x)}{T(x)} =\dfrac{(4x^2-4x+100)(x+4)}{2(x+4)}\)

Thus, the expression is:

\(2x^2 - 6x + 50\)

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By applying the Laplace transform to the given boundary-value problem and following the procedure outlined in Example 10, the solution for y(t) is obtained as y(t) = 6e^(-t).

The Laplace transform can be used to solve differential equations, including boundary-value problems. In this case, we have the second-order linear homogeneous differential equation y'' + 2y' + y = 0, with the initial conditions y'(0) = 6 and y(1) = 6.

To solve the problem using the Laplace transform, we apply the transform to the differential equation and the initial conditions. This transforms the differential equation into an algebraic equation that can be solved for the Laplace transform of y(t), denoted as Y(s).

By applying the Laplace transform to the given differential equation, we obtain the algebraic equation s^2Y(s) + 2sY(s) + Y(s) = 0. Solving this equation for Y(s), we find Y(s) = 6s/(s^2 + 2s + 1).

To find the inverse Laplace transform of Y(s) and obtain the solution y(t), we use partial fraction decomposition and consult Laplace transform tables. By applying the inverse Laplace transform, we find y(t) = 6e^(-t).

Therefore, the solution for the given boundary-value problem is y(t) = 6e^(-t)

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Answer: 11

Step-by-step explanation: SAS Postulate states that any two triangles that share the same Side, Angle, Side, are congruent. Since those two triangles share the side length of 5, and then a 90 degree right angle, and the side PM every corresponding side and angle with equal each other. Such as side MN and ML.

No, it is not likely that Penelope selects earrings of the same color.

We have,

Gold Earrings= 11

Silver Earrings= 16

Black Earrings = 13

So, if she picked a earring already of any of the color.

Then, there is chance if she picked the second earring then the earring can be different or same.

Thus, No it is likely that Penelope selects earrings of the same color as there 50% chance of getting different earrings too.

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Answer:

.5

Step-by-step explanation:

Answer:

7 +

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer: 274

7124 divided by 26 in decimal = 274

7124 divided by 26 in fraction = 7124/26

7124 divided by 26 in percentage = 27400%

Hope this helps

Answer:

Point X

Step-by-step explanation:

Answer: So you subtract -5/4 - (-5/4) = -5/4 + 5/4 = 0

Step-by-step explanation: That’s pretty simple. Imagine you have a number y, and you need to find a number x such that y - x = 0. As you can see, number x equals y. In your case, you would have to substract -5/4 to make it zero.

Answer:

x ≈ 9.6

Step-by-step explanation:

Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )

Using Pythagoras' identity in the right triangle

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = \(\sqrt{93}\) ≈ 9.6 ( to the nearest tenth )

A simple random sample of 50 adults were asked to reveal their gross annual incomes, variance of sample is an estimate of the variance of the population but may differ from the variance of the population.

The variability in a particular sample is determined using sample variance. A sample is a collection of observations taken from a population that can accurately reflect the entire population. The sample variance is calculated in relation to the data set mean. Additionally called the estimated variance.

The spread of the data points in a particular data set around the mean is measured using sample variance. The population refers to all observations made of a group. Calculating the population's variance becomes challenging as the number of observations rises. In this case, a predetermined number of observations are chosen that can be applied to the entire group as a whole.

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Complete question;

A simple random sample of 50 adults were asked to reveal their gross annual incomes. The variance of this sample:

To test whether each of the regression parameters (represented by the coefficients in the regression equation) are equal to zero at a 0.05 level of significance, we can perform a hypothesis test.

The null hypothesis for each coefficient would be that it is equal to zero, and the alternative hypothesis would be that it is not equal to zero. We would then calculate a t-statistic for each coefficient and compare it to a t-distribution with n-2 degrees of freedom (where n is the sample size).

If the p-value for a coefficient is less than 0.05, we would reject the null hypothesis and conclude that the coefficient is significantly different from zero at the 0.05 level of significance. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the coefficient is different from zero at the 0.05 level of significance.

The interpretations of the estimated regression parameters depend on the context of the study and the variables involved. In general, however, the coefficients represent the change in the dependent variable (the outcome we are interested in) for a one unit increase in the corresponding independent variable (the predictor variable). A positive coefficient indicates a positive relationship between the two variables, while a negative coefficient indicates a negative relationship. The magnitude of the coefficient also tells us the strength of the relationship - a larger coefficient indicates a stronger relationship between the two variables.

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The number of spanning trees of a connected graph can be proven to be the product of the number of spanning trees of each of its blocks.

Here are the steps-

1. Consider a connected graph G with blocks B1, B2, ..., Bk. Each block is a maximal connected subgraph with no cut-vertex.

2. The number of spanning trees of G can be denoted as T(G), and the number of spanning trees of each block Bi can be denoted as T(Bi).

3. To prove the given statement, we need to show that\(T(G) = T(B1) * T(B2) * ... * T(Bk).\)

4. We can start by considering a single block B1. Since B1 is a maximal connected subgraph with no cut-vertex, it is a connected graph on its own.

5. The number of spanning trees of B1, T(B1), can be calculated using any method such as Kirchhoff's theorem or counting the number of spanning trees directly.

6. Now, consider the original graph G. We can remove block B1 from G, which leaves us with a graph G' that consists of the remaining blocks B2, B3, ..., Bk.

7. G' is still a connected graph, but it may have cut-vertices. However, the removal of B1 does not affect the connectivity between the other blocks, as each block is a maximal connected subgraph.

8. The number of spanning trees of G', denoted as T(G'), can be calculated using the same method as step 5.

9. Since G' is the remaining part of G after removing B1, the number of spanning trees of G can be expressed as T(G) = T(B1) * T(G').

10. We can repeat this process for the remaining blocks B2, B3, ..., Bk. For each block Bi, we remove it from G and calculate the number of spanning trees of the remaining graph.

11. By repeating steps 6-10 for all blocks, we can express the number of spanning trees of G as-

\(T(G) = T(B1) * T(G')\)

\(= T(B1) * T(B2) * T(G'')\)

= ...

\(= T(B1) * T(B2) * ... * T(Bk).\)

12. Therefore, we have proved that the number of spanning trees of a connected graph G is the product of the number of spanning trees of each of its blocks.

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Answer:

149

Step-by-step explanation:

JUST TOOK TEST

Answer:

149

Step-by-step explanation:

To find the percentage of all students who like science but not humanities, we need to subtract the percentage of students who chose both science and humanities from the percentage of students who chose science only. 30% of all students like Science but not Humanities.

So, the percentage of students who like science but not humanities is:

41% (students who chose science) - 11% (students who chose both science and humanities) = 30%

Therefore, 30% of all students like science but not humanities.

To find the percentage of students who like Science but not Humanities, we need to subtract the percentage of students who chose both from the percentage who chose Science. Here's the step-by-step explanation:

1. The percentage of students who chose Science: 41%
2. The percentage of students who chose both Science and Humanities: 11%
3. Subtract the percentage of students who chose both from the percentage who chose Science: 41% - 11% = 30%

So, 30% of all students like Science but not Humanities.

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Answer:

a reflection in the y axis followed by a translation 1 unit down

Step-by-step explanation:

Reflection over the y-axis then a unit down

\(3.05 \times 10 ^{8} m/s\)

\(3.15 \times 10 ^{7} \)

\(\rule{300pt}{3pt}\)

Multiply the speed of light with seconds in a year

*Note:- We will not change the values because speed of light is in m/s and the time is also given in seconds.

\(\rule{300pt}{3pt}\)

\(3.08 \times 10 ^{8} \times 3.15 \times 10 ^{7} \)

\((3.05 \times 3.15) \times (10 ^{8} \times 10 ^{7} )\)

\(9.4675 \times 10 ^{15} \)

\( \tt9.46 \: Trillion \: Kilometers\)

Answer:

The Probability = 0.16

Step-by-step explanation:

Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Average = 13.1 years

Standard deviation = 1.5 years

x = 14.6 years

= 14.6 -13.1/1.5

= 1

This falls within 1 standard deviations of the mean

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Hence:

100 - 68%/2 = 32/2 = 16%

Converting to probability = 0.16

The probability of a meerkat living longer than 14.6 years is 0.16

Answer:

Use the empirical rule (68 - 95 - 99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living longer than 14.614.614, point, 6 years.

16%

Answer:

Completely satisfied with their car:  60.00%

Step-by-step explanation:

I'll assume that "180 percent of people not satisfied . ." is meant to read "180 people not satisfied . . ."

Add the people in the groups to find a total.  Then divide the numeber of people in each group by the total.  This will provide a decimal number which can be multiplies by 100% to give the breakdown requested.

   Group              Count   Percent(%)

Not S.                      180        7.20

Somewhat S.          820      32.80

Completely S.       1500       60.00

Total People:       2500      100.00%

The value of the expression \(\frac{999999999\times 999999999}{1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1}\) , which involves the division of a large number is obtained by making use of a scientific calculator is; 12345678987654321

Depending on the processor of the calculator, and the number of digits the calculator can handle, the exact value following the operations with very large numbers can be obtained. Graphing calculators can also be made to increase the number of digits of precession, up to 9999 digits.

The expression in the question can be presented as follows;

999999999 × 999999999 ÷ (1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1)

The value can be computed using a calculator;

999999999 × 999999999 = 999999998000000001

(1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1) = 81

999999999 × 999999999 ÷ (1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1) = 999999998000000001 ÷ 81 = 12345678987654321

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Answer: the least amount of marbles would be 24 because it would be divided equally among the people , with none leftover.

Step-by-step explanation: if you had 6 people, each of them would have 4 marbles. if you had 8 people each of them would get 3 marbles. and if you had 12 people, each of them would get 2 marbles.  

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