a cube numbered 1-6 is rolled 400 times . the probability of 3 landing face up on the cube is 1/6. select TWO values that indicate an approximate relative frequency of 3 landing face up in 400 attempts.


A.24

B.64

C.70

D.200

E.240

The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

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The probability is 0.96 that a randomly selected camper does not like to have a cookout, based on the given information and the complement rule of probability.

To determine the probability that a randomly selected camper does not like to have a cookout, we need to find the complement of the event C (the event that the camper likes to have a cookout).

Looking at the Venn diagram, we see that the probability of event C is 0.04 (represented by the intersection of circles C and A). Therefore, the probability of the complement of event C (not liking to have a cookout) is equal to 1 minus the probability of event C.

1 - 0.04 = 0.96

Hence, the probability that a randomly selected camper does not like to have a cookout is 0.96.

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The equation of the line passing through the point (-1,2) with slope m is y = mx + m-2. This is a general equation of the line and we can find different equations by putting different values of m.

We know that when a point and slope of the equation are given, an equation can be written as

\(\frac{y-y_{1} }{x - x_{1} } =m\)

which is known as the slope-point form

where m is the slope of the equation

y1 is the  y coordinate of the given point

x1 is the x coordinate of the given point

In the given question, y1 = 2 and x1 = -1

Substituting the value of coordinates in the slope point equation, we get

\(\frac{y-2}{x-(-1)} = m\)

\(\frac{y-2}{x+1}=m\)

y-2 = mx + m

y = mx + m-2

Hence, the equation of the line passing through the point (-1,2) with slope m is y = mx + m-2.

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What is the equation of the line passing the point (-1, 2) with a slope m?

To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.

From the problem statement, we have the following information:

Equation 1: x + y = 14 (sum of the two numbers is 14)

Equation 2: xy = 38 (product of the two numbers is 38)

To solve this system of equations, we can use substitution or elimination method. Let's solve it using substitution:

From Equation 1, we can express y in terms of x by subtracting x from both sides:

y = 14 - x

Now we substitute this value of y into Equation 2:

x(14 - x) = 38

Expanding the equation, we have:

14x - x^2 = 38

Rearranging the equation to bring it to quadratic form:

x^2 - 14x + 38 = 0

Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our quadratic equation, the coefficients are:

a = 1, b = -14, c = 38

Substituting these values into the quadratic formula, we have:

x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))

x = (14 ± √(196 - 152)) / 2

x = (14 ± √44) / 2

x = (14 ± 2√11) / 2

Simplifying further, we have:

x = 7 ± √11

So we have two possible values for x: 7 + √11 and 7 - √11.

To find the corresponding values of y, we can substitute these values of x back into Equation 1:

For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11

For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11

Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).

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\(5x+30=35\)

Subtract both sides by 30:

\(5x+30-30=35-30\)

\(5x=5\)

Divide both sides by 5:

\(\frac{5x}{5} =\frac{5}{5}\)

\(\fbox{x=1}\)

Hope this helps!

Answer:

35

Step-by-step explanation:

(1×2^5)+(0×2⁴)+(0×2³)+(0×2²)+(1×2¹)+(1×2^0)

32+0+0+0+2+1

35

Answer:

? im confused

Step-by-step explanation:

Answer:

\(\frac{11}{4}\) or 2 \(\frac{3}{4}\)

Step-by-step explanation:

Here is one way to solve this problem

2x - \(\frac{7}{4}\) = x + 1  (3/3 is another way to write one)  Multiply all the way through by 4

4(2x - \(\frac{7}{4}\)) = 4(x + 1)  Distributive property

8x -7 = 4x +4  Subtract 4x from both sides

4x - 7 = 4  Add 11 to both sides

4x = 11  Divide both sides by 4

x = \(\frac{11}{4}\)

Answer:

3.6

Step-by-step explanation:

Answer:

The quadrilateral formed is a trapezoid

Step-by-step explanation:

In this case, it is necessary to know what points A, B, C, and D.

If the points are equal to the following coordinate points

A (-2, 1)

B (2, 1)

C (3, -2)

D (-3, -2)

As shown in the image the answer would be a trapezoid.

________________________________

The figure cannot be a square, a rhombus or a rectangle since by definition these are:

A square has all sides of equal length and all its right angles.

A rhombus is a parallelogram that has all sides of equal length and all its angles different from right angles.

A rectangle is a parallelogram that has all its right angles.

The figure that we obtain is neither a parallelogram nor does it have all its right angles.

To find the asymptotes of a graph, first determine the type of asymptote (horizontal, vertical, or slant) and identify the conditions that must be satisfied. Then, set the numerator or denominator equal to zero and solve for y or x, or divide the numerator by the denominator and find the equation of the line that the graph approaches as x approaches infinity.

To find the asymptotes of a graph, you can follow these steps:

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The parabola opens upward, the range of the function is [6/5, ∞) in interval notation.

We can find the range of the function by finding the vertex of the parabola, which will give us the minimum value, and then noting that the function increases without bound as x approaches infinity.

First, we need to find the vertex of the parabola. We can do this by finding the x-coordinate of the vertex, which is given by:

x = -b/2a

where a = 5, b = -2. Substituting these values, we get:

x = -(-2)/(2(5)) = 2/5

To find the y-coordinate of the vertex, we can substitute this value of x into the equation for g(x):

g(2/5) = 5(2/5)^2 - 2(2/5) + 1 = 5/5 - 4/5 + 1 = 6/5

So the vertex of the parabola is (2/5, 6/5), which is the minimum value of the function.

Since the parabola opens upward, the range of the function is [6/5, ∞) in interval notation.

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Answer:

15 cookies, 10 brownies.

Step-by-step explanation:

I'm assuming that she is selling the same amount of cookies and brownies per hour. If that is the case...

Multiply it by 5. If 3 cookies were sold in one hour, and there's 5 hours, just multiply 3 by 5. Total number is 15 cookies.

Same goes for brownies. Multiple 2 brownies by 5. That makes 10 brownies.

Answer:

Large Fish: 237 lbs  Small Fish:79 lbs

Step-by-step explanation:

3792 divided by 12 for the weight, is 316 divide that by 4 to get the smaller fish's weight 79 pounds. multiply that by 3 to get the larger fish's weight 237 pounds.

Answer:

no. |-6| is +

Step-by-step explanation:

whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6

Answer:

|-6| has more value than -|6|

Step-by-step explanation:

|-6| = -|6| are not equal

|-6| = 6 absolute value of a number is positive no matter what is the sign

-|6| = -6 because the minus is out the absolute sign

Answer:

68°

Step-by-step explanation:

Equations:

To solve for y we have to use the sine rule which is defined as:

\(\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}\)

Side a is opposite from angle A, side b is opposite from side B, etc.

Solving for y:

Let's say angle A was the angle we are trying to find. Then we can re-write the sine rule as:

\(\frac{sin(y)}{250} =\frac{sin(48)}{200}\)

Let's re-arrange this for the angle y:

\(sin(y)=250 * \frac{sin(48)}{200} \\y=sin^-1(250 * \frac{sin48}{200} )\)

Typing this into a calculator gives the answer: \(y = 68.26...\) which is 68 degrees rounded to the nearest whole degree.

Step-by-step explanation:

x+ 172= 180-x

x+ 172= 180-x2x= 8

x+ 172= 180-x2x= 8x= 4°

180-4= 176

the angle is 4° and the measure of the other angle is 176°

Answer:

8

Step-by-step explanation:

Answer:

An isosceles triangle

SAS information is known

7.35

72 degrees

13.1 feet

Step-by-step explanation:

Yes, the true mean of 33 is within the margin of error of the sample mean, we can conclude that the confidence interval does contain the true mean.

To determine whether the confidence interval contains the true mean of 33, we need to calculate the margin of error for the confidence interval. The margin of error is a measure of the precision of the estimate, and it is calculated using the sample size, the standard deviation of the population, and the desired level of confidence.

For a 95% confidence interval, the margin of error can be calculated using the following formula:

The margin of error = 1.96 * (standard deviation / √sample size)

Plugging in the values, we get:

Margin of error = 1.96 * (14 / √42)

Performing the calculation, we find that the margin of error is 3.39. This means that the sample mean of 31 is likely to be within 3.39 units of the true mean, with a confidence level of 95%.

Since the true mean of 33 is within the margin of error of the sample mean, we can conclude that the confidence interval does contain the true mean. This means that our estimate of the population mean, based on the sample size 42, is likely to be accurate.

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Answer: 182 pounds.

Step-by-step explanation:

170+25= 195 195-10=185 185-3=182

Answer:

182 pounds

Step-by-step explanation:

170+25=195

195-10= 185

185-3=182

The graph of y = 10 + 20x that represents the situation is shown in the attachment.

A graph of a linear equation is a straight line on a coordinate plane that represents all the solutions to the equation. A linear equation can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope and y-intercept determine the position and direction of the line on the coordinate plane. Points on the line satisfy the equation, and any x and y values that satisfy the equation can be plotted on the graph to form the line. The graph of a linear equation can be used to visualize relationships between variables and to make predictions about the values of the variables based on the line.

Thus, the equation y = 10 + 20x will have a graph that has a y-intercept of 10 and a slope of 20. The graph is shown below.

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Answer:

what the person above said pls give the brainliest

Step-by-step explanation:

In summary, step 4b is justified by using the addition property of equality and factoring the polynomial expression to identify a common factor that can be added to both sides of the equation.

Step 4b is a step in solving an equation, and it involves adding the same quantity to both sides of the equation in order to isolate the variable on one side. This step can be justified by using the addition property of equality, which states that if you add the same quantity to both sides of an equation, the equality is still maintained.

In this specific case, we are adding a polynomial expression to both sides of the equation. This can be done using the polynomial multiplication property of equality, which states that if you multiply both sides of an equation by the same polynomial, the equality is still maintained. However, since we are adding rather than multiplying, this property is not directly applicable.

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Answer:

4,000 dollars i think

Step-by-step explanation:

because in this case you have have to divide and multiply 20/5 and 4x5

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

The difference in both the guessed values is 5 unit

Step-by-step explanation:

The less error computation is done by dividing the difference between the guessed value and the actual value.

Here in this case

Error in case of Fransisco = 55-50 = 5

Error in case of Kazuko = 60 -55 = 5

Hence, both have guessed incorrect value and their incorrect values is either 5 units less or 5 units higher than the actual value.

The geometric mean between -32 and i is given by:

\(\sqrt{-32i}\)

The geometric mean between n values is given by the nth root of the multiplication of these values.

For this problem, we have that:

Due to the two values, we take the square root, hence, the geometric mean between -32 and i is given by:

\(\sqrt{-32i}\)

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The distance, d, between two points (x1, y1) and (x2, y2) is calculated as follows:

Substituting with points (5/2, -1) and (-3/2, 4), we get:

The coordinates of the midpoint between two points (xm, ym) are computed as follows:

Substituting with points (5/2, -1) and (-3/2, 4), we get:

Distance between two points can be determined by distance formula. So, the distance between the points (11 , -19) and (-13 , -19) is equals to the 2 units .

Distance is equal to the square root of the sum of the difference in coordinates values the square of. The Distance Formula is a derived from the Pythagorean Theorem. Distance formula for determining the distance between two points is written as,

\(d= \sqrt{(x_2-x_1)²+(y_2-y_1)²}\)

where, d --> distance

( x₁ , x₂) --> coordinates of first point

(y₁ , y₂) --> coordinates of second point

We have, coordinates of two points as (11 , -19) and (-13 , -19). So, x₁ = 11, x₂ = -13 , y₁ = -19, y₂ = -19

The distance between the points (11 , -19) and (-13 , -19),

\(d = \sqrt{( -13 -(-11))² + ( -19 -(-19))²} \\ \)

=> d = √(- 13 + 11)² + ( -19 + 19)²

=> d = √4 + 0

=> d = 2 units

Hence, required distance is 2 units.

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The value of standard deviation of the sample is 11.29 grams.

To calculate the standard deviation of a sample, we need to use the following formula:

s = sqrt [ Σ(xi - x)^2 / (n-1) ]

where s is the standard deviation of the sample, Σ(xi - x)^2 is the sum of the squared deviations of each data point from the sample mean, n is the sample size and x is the sample mean

To calculate the standard deviation for the weights of the 5 mice, we first need to find the sample mean:

x = (56 + 59 + 78 + 56 + 77) / 5 = 65.2

Next, we can calculate the sum of the squared deviations:

Σ(xi - x)^2 = (56 - 65.2)^2 + (59 - 65.2)^2 + (78 - 65.2)^2 + (56 - 65.2)^2 + (77 - 65.2)^2

= 82.36 + 41.64 + 156.64 + 82.36 + 147.56

= 510.56

Finally, we can calculate the standard deviation:

s = sqrt [ Σ(xi - x)^2 / (n-1) ] = sqrt [ 510.56 / (5-1) ] = sqrt [ 127.64 ] = 11.29

Therefore, the standard deviation is 11.29 grams.

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