Can someone help me???

Relative frequency distributions are generally more useful than frequency distributions when comparing data sets of the same size.

The frequency (or absolute frequency) of an event in statistics is the number of times the event occurred in an experiment or research. Histograms are frequently used to graphically show these frequencies.

The absolute frequency of an occurrence normalized by the total number of events is referred to as its relative frequency (or empirical probability). A frequency distribution can be created by plotting the values of all events.

A histogram is a graphical representation of tabulated frequencies that is displayed as consecutive rectangles erected at discrete intervals (bins) with an area equal to the frequency of the observations in the interval.

The frequency density of the interval, i.e. the frequency divided by the width of the interval, is also equal to the height of a rectangle.

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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The given statement "For any sampled population, the population of all sample means is approximately normally distributed" is true. This is a result of the Central Limit Theorem, which states that when sample sizes are large enough, the means of all samples will be approximately normally distributed.

A sample is a smaller portion of the population that has been taken to draw conclusions about the characteristics of the population as a whole. The sample needs to be representative of the population for the data analysis to be valid.

A sample mean is a statistical analysis in which the sum of all data points in a sample is divided by the number of observations. It gives an idea of the average value of the data points in the sample population.

For any sampled population, the population of all sample means is approximately normally distributed. The central limit theorem states that when the sample size is sufficiently large, the distribution of the sample means will be approximately normal, regardless of the underlying distribution of the population.

The central limit theorem is an important concept in inferential statistics because it provides a theoretical foundation for the use of statistical inference methods to draw conclusions about population parameters based on sample statistics.

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Answer:

C. 16

Step-by-step explanation:

5 is half of 10, so 8 should be half of the next number.

Answer:

C. 16

Step-by-step explanation:

\( \frac{y}{x} = \frac{10}{5} = \frac{?}{8} \\ \frac{2}{1} = \frac{?}{8} \)

cross multiplying

\(16 = ?\)

so the missing number is 16

On solving the provided question, we can say that we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear.

\(2-inch, 3 inch, 4-inch\)

triangle, because 2+3 > 4, 2+4 > 3, and 3+4 > 2

\(2-inch, 3 inch, 5-inch\)

This is doesn't make  a triangle as  \(2+5 > 3, and 3+5 > 2,\)

2+3 is not more  than 5,, they cannot make triangle.

\(2-inch, 4 inch, 5-inch\)

triangle, because 2+4 > 5, 2+5 > 4, and 4+5 > 2

\(3-inch, 4 inch, 5-inch\)

a triangle, because 3+4 > 5, 3+5 > 4, and 4+5 > 3

Therefore, since we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

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Answer:

10

Step-by-step explanation:

Given coordinates:

       (-1,0) and (5, -8)

Unknown:

Distance between the two endpoints = ?

Solution:

     (-1,0) and (5, -8)

The equation for solving this problem is shown below;

      Distance  = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

x₁  = -1      y₁ = 0

x₂  = 5      y₂  = -8

      Distance  = \(\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }\) = \(\sqrt{36 + 64}\)   = 10

The distance between the two points is 10.

The equation for the nth term of the given geometric sequence is Tₙ = \(8 * 9^{(n-1)\)

In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. Let's denote the first term as "a" and the common ratio as "r."

Given the geometric sequence 8, 72, 648..., we can observe that each term is obtained by multiplying the previous term by 9. Therefore, the common ratio (r) is 9.

To find the nth term (Tₙ) of a geometric sequence, we can use the following formula:

Tₙ = \(a * r^{(n-1)\)

where "n" is the term number.

In this case, the first term (a) is 8, and the common ratio (r) is 9. Plugging these values into the formula, we get:

Tₙ = \(8 * 9^{(n-1)\)

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The sum of both angles will be 180° because we know that if two angles are formed on a straight line their sum will be 180° forming a linear pair.

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

\(5x + 2 + 12x - 4 = 180\)

\(17x - 2 = 180\)

\(17x = 180 + 2\)

\(17x = 182\)

\(x = 10 \: \sf \: (rounded \: off)\)

Answer:

- 10√2 - 5√5

Step-by-step explanation:

- 2√50

√50 = √( 2 x 5 x 5 ) = 5√2

- 2√50

= - 2 x 5√2

= - 10√2

- √125

= - √( 5 x 5 x 5 )

= - 5√5

- 2√50 - √125

= - 10√2 - 5√5

Answer:

Step-by-step explanation:

50: 2 * 5 * 5

125:5 * 5 * 5

sqrt(50) = 5*sqrt(2)  For every pair of primes, 1 of them is put outside the sqrt sign and one is discarded.

sqrt(125) = 5*sqrt(5) Same rule.

-2 sqrt(50) - sqrt(125)

-2*5*sqrt(2) - 5sqrt(5)

Answer: -10*sqrt(2) - 5sqrt(5)

You could write the answer as

Answer: -5(2sqrt(2) + sqrt(5) )

Comment: I don't know which answer you should use. I think the second one is more complete, but your marker may not agree.

Answer:

520

Step-by-step explanation:

must be the answer..

Answer:

510 or 500

Step-by-step explanation:

80 + 90 + 60 + 100 + 80 + 100 = 510

80 + 80 + 60 + 100 + 80 + 100 +500

it depends how you learned to round 5's either up down

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

Each line shows you the output value for a given input value. If you want a particular input value to give the same output for both functions, then you need to find the point where the lines cross. This question asks for the input value at that point, the x-coordinate.

The lines cross at (x, y) = (3, -1), so x = 3 produces the same output from both functions.

Answer:

I can't see the options

Step-by-step explanation:

Answer:

i think a is 6912:)

i thin b is 359424:)

Step-by-step explanation:

i'm so sorry if it's wrong <3

The answers for the given problem are as (a) the commission made by Olivia in a week is $288 and (b) the total commission for a year is $14976.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

And to convert a fraction or a decimal into percentage, they are multiplied by 100.

Given that,

The price of stocks sold = $7200.

The commission percentage = 4%.

(a) The commission made by Olivia per week is found as,

4% of 7200

= 4/100 × 7200

= 288

(b) Considering 52 weeks in a year, the commission made by her in a week is  given as,

52 × 288

= 14976

Hence, the commision made by her in a week is $288 and the total commission for a year is $14976.

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Answer:

A.

Step-by-step explanation:

Answer: x = -49

Step-by-step explanation:

hope this helped

So, the length of the ladder is approximately 30.1 feet (rounded to the nearest tenth of a foot).

Let's call the length of the ladder "x".

We can use trigonometry to relate the angle and the length of the ladder to the height of the electric box and the distance from the base of the ladder to the wall of the house. In particular, we can use the sine function:

\(sin(62) = height of electric box / length of ladder\)

We know the height of the electric box is 27 feet, so we can solve for the length of the ladder:

\(x = 27 / sin (62)\)

Using a calculator, we find:

x ≈ 30.1

So, the length of the ladder is approximately 30.1 feet.

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The simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².

When you use operations like addition, subtraction, multiplication, division, exponentiation, and other operations to combine numbers and variables.

Expressiοns in math are mathematical statements that have a minimum οf twο terms cοntaining numbers οr variables, οr bοth, cοnnected by an οperatοr in between. The mathematical οperatοrs can be οf additiοn, subtractiοn, multiplicatiοn, οr divisiοn. Fοr example, x + y is an expressiοn, where x and y are terms having an additiοn οperatοr in between. In math, there are twο types οf expressiοns, numerical expressiοns - that cοntain οnly numbers; and algebraic expressiοns- that cοntain bοth numbers and variables.

To simplify the expression 9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k), we need to distribute the factors and simplify the resulting terms:

9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k)

= 9j⁶k²j⁸k⁷ + 9j⁶k²j⁵k⁴ - 72j⁸k³

= \(9j^{(6+8)}k^{(2+7)} + 9j^{(6+5)}k^{(2+4)} - 72j^{(8-2)}k^{(3-1)\)

= \(9j^{14}k^9 + 9j^{11}k^6 - 72j^6k^2\)

Therefore, the simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².

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We can answer the questions based on the given triangles in this way:

a) sin(BAC) depends only on AB, BC, and BCA, and are the same in both drawings, we have sin(BAC) = 3/5.

b) ∠BAC in the drawing where it is acute is ≈ 36.9°.

c) The ∠BAC in the drawing where it is obtuse is ≈ 143.1°.

The angles of a triangle when added together is always 180°.

To calculate the angles of a triangle, we use the formulas like the Law of Cosines, the Law of Sines, or trigonometric functions like sine, cosine, and tangent.

a) To find sin(BAC), we shall use the Law of Cosines to first find the length of AC:

(AC)² = (AB)² + (BC)² - 2(AB*BC)cos(BCA)

AC² = 15² + 18² - 2(15*18)cos(30°)

AC² = 729

AC = 27

Next, we use the Law of Sines to find sin(BAC):

sin(BAC) / AB = sin(BCA) / AC

sin(BAC) / 15 = 1/2 / 27

sin(BAC) = 3/5

Since sin(BAC) only depends on AB, BC, and BCA, which are the same in both drawings, we have sin(BAC) = 3/5 in both drawings.

b) In the acute triangle, we have:

sin(BAC) / AB = sin(BCA) / AC

sin(BAC) / 15 = 1/2 / 27

sin(BAC) = 3/5

BAC = arc sin(3/5)

BAC ≈ 36.9°

c) In the obtuse triangle, we have:

sin(BAC) / AB = sin(BCA) / AC

sin(BAC) / 15 = 1/2 / 27

sin(BAC) = 3/5

Since sin(BAC) is positive and ≤ 1, we know that BAC is an acute angle or a reflex angle.

But we are told that BAC is obtuse angle, meaning:

BAC = 180° - arc sin(3/5)

BAC ≈ 143.1°

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The value of \(x \sim B (10, 0.75)\) for x = 5 is 0.06

The expression is given as:

\(x \sim B (10, 0.75)\)

This means that:

n = 10

p = 0.75

The probability is then calculated as

\(P(x)= ^nC_x * p^x *(1 - p)^{n-x\)

This gives

\(P(5)= ^{10}C_5 * 0.75^5 *(1 - 0.75)^5\)

Evaluate the combination expression

\(P(5)= 252 * 0.75^5 *0.25^5\)

Evaluate

P(5)= 0.06

Hence, the value of \(x \sim B (10, 0.75)\) for x = 5 is 0.06

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Answer:

1. m³ + m

= m( m² + 1) [ a² + b²]

= (a-b)² + 2ab

= m { (m –1)² + 2× m × 1 }

= m { ( m–1)² + 2m}

2. 25 – y² [ a² – b²]

= 5² – y²

= (5+y) (5–y)

3. x² + 3x –28 [ middle term factorisation]

= x² + 7x –4x –28

= x( x +7) –4 ( x + 7 )

= ( x–4) (x+7)

➊ Factorise :- \(\sf{m^{3} + m}\)

Solution :-

\(→ \ \ \sf\purple{m^{3} + m}\)

\(→\:\:\bf\red{ m \times (m^{2} + 1)}\)

➋ Factorise :- \(\sf{25-y^{2}}\)

Solution :-

\(→\:\:\sf\purple{25-y^{2}}\)

\(→\:\:\sf\green{5^{2} - y^{2}}\)

\(→\:\:\bf\red{(5-y)\times (5+y)}\)

➌ Factorise :- \(\sf{x^{2}+3x - 28}\)

Solution :-

\(→\:\:\sf\purple{x^{2}+3x - 28}\)

\(→\:\:\sf\green{x^{2}+7x-4x-28}\)

\(→\:\:\sf\orange{x \times (x +7) -4 (x+7)}\)

\(→\:\:\bf\red{(x + 7)\times (x - 4)}\)

Answer:

70

Step-by-step explanation:

They are corresponding angles, meaning they are equal in measure.

8x+6=-2+9x

-x=-8

x=8

Plug it in:

-2+9(8)

=70

Answer:

9.25

Step-by-step explanation:

numbeer line is split into 4 things so 1/4 those things is 0.25

its .25 since its the first quarter

its adding 0.25 each dash so the next dash up would be 0.5 etc.

How much a statistic varies from one sample to another is known as the sampling variability of a statistic.

Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.

The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.

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Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

Direct proofs, Indirect proofs and Coordinate proofs are the three different types of proofs in geometry.

The three different types of proofs in geometry are: direct proofs, indirect proofs, and coordinate proofs.

1. Direct Proofs: In a direct proof, you start with given facts or established theorems and use logical reasoning to derive a conclusion. You follow a step-by-step process using definitions, postulates, and previously proven theorems.

2. Indirect Proofs: In an indirect proof, also known as proof by contradiction, you assume that the statement you want to prove is false, and then show that this assumption leads to a contradiction, which means the original statement must be true.

3. Coordinate Proofs: A coordinate proof involves assigning coordinates to geometric figures and using algebraic techniques, such as the distance formula or the slope formula, to prove geometric properties. This type of proof is particularly useful when working with figures in the coordinate plane.

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Answer:

10 30 15 16 48 24 25 75 37.5

In order to determine the coordinates of ABCD, it is necessary to apply the following transformation to figure A'B'C'D':

r(-90°,0)(A'B'C'D')

or, which is equivalent, apply a clockwise rotation of 90°, which is represented as follow:

T(x,y) => (y,-x)

then, for the points A', B', C' and D', you obtain:

A'(2,1) => A(1,-2)

B'(-4,-2) => B(-2,4)

C'(-4,-6) => C(-6,4)

D'(-1,-3) => D(-3,1)

Answer :                  x=  -2

   Step-by-step explanation:

=

1

3

=

−

2

The value of factor of the equation are,

⇒ (x - 2) (3x + 1)

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 equation is,

⇒ 3x² - 5x - 2

Now, We can factor the expression as;

⇒ 3x² - 5x - 2

⇒ 3x² - (6 - 1)x - 2

⇒ 3x² - 6x + x - 2

⇒ 3x(x - 2) + 1 (x - 2)

⇒ (x - 2) (3x + 1)

Thus, The value of factor of the equation are,

⇒ (x - 2) (3x + 1)

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