Write the expression as a power of 2, then find its value.
a) 2^4·2

Answer:

144

Step-by-step explanation:

3(6x8)

3x48

144

Answer:

144

Step-by-step explanation:

3 mutiplied by a, or 6, is 18.

18 Multiplied by b, or 8, is 144.

Answer:

3/8, 5/8, 2/3

Answer:

6 cm

Step-by-step explanation:

Let's draw a line perpendicular to height through the centre.

AB=5 cm

BC=4 cm

AC²+BC²=AB²

=>AC²=AB²-BC²

=>AC=3

So,w=2xAC=6cm

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Answer:

3 3/5 as an improper fraction = 18/5

Answer:

18/5

Step-by-step explanation:

To find the improper fraction change the whole number into a fraction:

3 *5/5 = 15/5 which is the same as 3

then add the remaining 3/5 to the fraction

15/5 + 3/5

= 18/5

Answer: I think its

C 151FT

Step-by-step explanation:

Answer: 75 ft

Step-by-step explanation:

12 + 12 = 24

24/3.14

75

Answer:

Scalene Right

Step-by-step explanation:

Isosceles right: An isosceles right triangle is a triangle that has 90 degrees as one of its angles and has 2 congruent sides. Based off the image, it appears that none of the sides are equal in length, so this is incorrect.

Scalene Acute: A scalene acute triangle is a triangle that has all angles under 90 degrees and has different sides. While the given triangle has unique sides, one angle (90 degrees) is not under 90 degrees, so this is incorrect.

Isosceles Acute: An isosceles acute triangle is a triangle that has all angles under 90 degrees and has two congruent sides. This triangle doesn't have 2 equal sides or all angles under 90 degrees, so this is incorrect.

Scalene Right: A scalene right triangle is a triangle that has 90 degrees as one of its angles and has all unique sides. This triangle has a 90 degree angle and unique sides, so this is correct.

Answer:

1st, 4th, and 5th

Step-by-step explanation:

1st, 4th, and 5th each have 24 possible outcomes.

2 has 16x8=128

3 has 5x4=20

6 has 14x10=140

The sets of actions that can be use to have a statistically fair game; are 1st, 4th, and 5th.

A piece of date obtained from a study by a large statistically numerical data.

According to the given question,

Aaron is designing a party game in which he needs exactly 24 possible outcomes.

1st, 4th, and 5th each have 24 possible outcomes;

2 has 16 x 8 =128

3 has 5 x 4 =20

6 has 14 x 10 =140

The sets of actions that can be use to have a statistically fair game;

1. Toss a coin twice, then roll a six sided number cube with digit 1 to 6.

4. Spin and roll on 8  sided number cube with digit 1 to 8.

5. Select a card from a set of card with letters A through D, then spin this once.

Therefore, The set of actions can be statistically fair game Option: (1) (4) (5) are correct.

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The solution to the given equation are -2/5 and 1

Linear equation are equation that has a linear degree of 1. The standard linear equation is expressed as y - mx + b

Given the equation below:

(5v +2)(1 - v) = 0

Equate both expressions to zero to have:

5v+2 = 0 and 1 -v = 0

For the expression 5v+2 = 0

5v = -2

v = -2/5

Similarly

1 - v = 0

v = 1 + 0

v = 1

Hence the solution to the given equation are -2/5 and 1

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The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

\(P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)\)

Lets suppose here that:

Suppose A' and B' are their complementary events, then we have:

Then, by the given data, we have:

\(P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32\)

We've to find \(P(A' | B')\)

Using chain rule, we have:

\(P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}\)

Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:

\(P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821\)

Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821

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As per the concept of covariance, the correlation between the scores of students from the two parts of the quiz is 9.6

What is meant by covariance and correlation?

In math, the covariance is a measure of the linear relationship between two random variables where as the correlation is used to measure the linear relationship between two random variables if it is zero then variables are said to be uncorrelated and if one then perfectly correlated.

Here we have given that, instructor has given a short quiz consisting of two parts and the  accompanying table shows the number of students who obtained the indicated points for X (rows) and Y (column).

And we need to find the the correlation between the scores of students from the two parts of the quiz.

Let us consider X refers the number of points earned on the first part and Y refers the number of points earned on the second part.

=> E(max(a, x)) = ∑ₐ∑ₓ y max(x, y)p(x, y)

And then when we apply the values on it, then we get,

=> max(0, 0)p(0, 0)+max(0, 5)p(0, 5)+· · ·+max(10, 10)p(10, 10)+max(10, 15)p(10, 15)

When we simplify this one, then we get,

=> 0 ∗ 0.02 + 5 ∗ 0.06 + · · · + 10 ∗ 0.14 + 15 ∗ 0.01 = 9.6.

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In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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Multiply 15 and 6.8. So speed * time = distance

So the answer is 102

Answer:

14.6 feet

Step-by-step explanation:

Let A be the area of a square and S be the length of one of its sides.

The area of a square is A = S². We know A = 214 in this problem, so:

214 = S²

√214 = S

S ≈ 14.629 ≈ 14.6 feet (to the nearest tenth of a foot)

Answer:

Step-by-step explanation:

Scale is:

a. The length of the room

b. The width of the room

Answer:

12 ft and 9 ft

Step-by-step explanation:

Step-by-step explanation:

A≈3.14mi²

The parametric equation of the line passing through P1(2, 4, -3) and P(3, -1, 1) is:

x = 2 + t

y = 4 - 5t

z = -3 + 4t

To find the parametric equation of the line passing through points P1(2, 4, -3) and P(3, -1, 1), we can use the vector equation of a line.

Let's denote the direction vector of the line as d = (a, b, c). Since the line passes through P1 and P, the vector between these two points can be used as the direction vector.

d = P - P1 = (3, -1, 1) - (2, 4, -3) = (1, -5, 4)

Now, we can express the parametric equation of the line as follows:

x = x0 + at

y = y0 + bt

z = z0 + ct

where (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector.

Let's choose P1(2, 4, -3) as the point on the line. Substituting the values, we get:

x = 2 + t

y = 4 - 5t

z = -3 + 4t

Therefore, the parametric equation of the line passing through P1(2, 4, -3) and P(3, -1, 1) is:

x = 2 + t

y = 4 - 5t

z = -3 + 4t

where t is a parameter that varies along the line.

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The ordered pairs that represent functions are:

For a set of ordered pairs to represent a function, the following must be true:

The x value must point to only one y value

In {(-3, 10), (-2, 13), (3, 13), (8, 12)}  and {(-4,11), (5, 10), (-3, 3), (-1, 10)}, the x value point to only one y value

Hence, {(-3, 10), (-2, 13), (3, 13), (8, 12)}  and {(-4,11), (5, 10), (-3, 3), (-1, 10)} are functions

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Answer:

$206.991

Step-by-step explanation:

229.99   ÷   10 = 22.999

229.99   -   22.999 = 206.991

Answer:

let the number be x

3x+1=17

3x=17-1

3x=16

x=16/3

Answer:

14n - 29

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(2n - 9) - 5(-2.4n + 4)

Step 2: Simplify

Answer:

The length of AB is 40

Step-by-step explanation:

The Midpoint of a Segment

If A and B are the endpoints of a segment, and C is the midpoint of AB, then the distance from A to C is equal to the distance from B to C.

We are given the lengths BC=3x-7 and AC=9x-61:

9x - 61 = 3x - 7

Subtracting 3x:

6x - 61 = - 7

Adding 61:

6x = 54

Dividing by 6:

x = 9

The total length AB is

BC+AC=3x - 7 + 9x - 61 = 12x - 68

Substituting x=9:

AB = 12*9 - 68 = 40

The length of AB is 40

Answer:

what does cos theta mean

Step-by-step explanation:

i need to know

Answer:

24 porque lo multiplicas por dos y ya

Step-by-step explanation:

xd porque si JJAAJA