Step 1: Distribute -2 to 5x and 8. Step 2: 6x. Step 3: 16. Step 4: -16.

Answer:

AB = 10

Step-by-step explanation:

ΔABC ≈ ΔDEC

AB/5 = AC/DC

12AB = 120

AB = 120/12 or 10

Answer:

Step-by-step explanation:

It’s 2.3 times more likey

Answer:

5700

125 x 57 = 7125

20 x 57 = 1140

7125 - 1140 = 5985

5985 - 285 = 5700

from the question ,the answer is 262,200.

The length of the rectangle is (10+x) cm and the width of the rectangle is x cm.

According to the question,

We have the following information:

The width of the rectangle = x cm

Now, the length of the rectangle is given to be 10 cm more than the width of the rectangle.

So, this can be converted in the following mathematical expression:

Length of the rectangle = 10+x cm

(More to know: the area of the rectangle is given by the formula l*b where l is the length and b is the breadth of width of the rectangle.)

Hence, the length of the rectangle is (10+x) cm and the width of the rectangle is x cm.

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the probability that x falls between 65.75 and 68.75 is approximately 0.087 or 8.7%.

To find the probability that x falls between 65.75 and 68.75, we need to calculate the z-scores corresponding to these values and use the standard normal distribution.

The z-score is calculated using the formula:

z = (x - µ) / σ

where x is the value, µ is the population mean, and σ is the population standard deviation.

For 65.75:
z1 = (65.75 - 65) / 12 = 0.0625

For 68.75:
z2 = (68.75 - 65) / 12 = 0.2917

Using a standard normal distribution table or a calculator, we can find the probabilities corresponding to these z-scores.

P(0.0625 < z < 0.2917) = P(z < 0.2917) - P(z < 0.0625)

By looking up the values in the standard normal distribution table, we find that P(z < 0.2917) = 0.6159 and P(z < 0.0625) = 0.5289.

Therefore, P(0.0625 < z < 0.2917) = 0.6159 - 0.5289 = 0.087

Hence, the probability that x falls between 65.75 and 68.75 is approximately 0.087 or 8.7%.

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Given:

The function is

\(f(x)=\left(\dfrac{1}{3}\right)^x\)

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

\(f(x)=\left(\dfrac{1}{3}\right)^x\)

At x=-2,

\(f(-2)=\left(\dfrac{1}{3}\right)^{-2}\)

\(a=\left(3\right)^{2}\)         \(\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]\)

\(a=9\)

At x=-1,

\(f(-1)=\left(\dfrac{1}{3}\right)^{-1}\)

\(b=\left(3\right)^{1}\)         \(\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]\)

\(b=3\)

At x=0,

\(f(0)=\left(\dfrac{1}{3}\right)^{0}\)

\(c=1\)         \(\left[\because a^0=1, a\neq 0\right]\)

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

Answer: below

Step-by-step explanation:

The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

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Answer:

d

Step-by-step explanation:

one side is shorter than the other so it cant be any other option

The value of SS for the following set of scores [ 0, 1,4,5] is 42.

So, option b is correct

The formula for measuring the deviation from the measured values is the Sum of Squares. The mean value of the complete collection of observed values is used to measure this distance.

When referring to a statistical method for calculating the dispersion of data points in regression analysis, the term "sum of squares" is employed. When determining which function best matches the data by deviating the least from it, the sum of squares can be utilized. Determine how well a data series can be fitted to a function that could aid in explaining how the data series was formed.

Given,

The dats is 0, 1, 4, 5

S0, the value of n is 4

SS=Sum of squares

SS=0²+1²+4²+5²

SS=0+1+16+25

SS=42

Therefore, the value of SS for the following set of scores [ 0, 1,4,5] is 42.

So, option b is correct.

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Answer:

Step-by-step explanation:

We know, for square

\((side)^2=(Area)\\=>X^2=8\\\)

∴\(X=2\sqrt{2}\) unit

\(Now, Side=3X\)

\(Then,Area=(3X)^2=(3*2\sqrt{2} )^2=(6\sqrt{2} )^2=72 sq. unit\)

hope you have understood this...

pls mark my answer as the brainliest

The area of square of side 3X is 72 square unit.

The square is a 4 sided figure, each side of the square is equal and make a right angle.

The area of square having sided a unit can be given by a² square unit.

Given that,

Area of square having side X is 8.

Since, formula for area of square having side X is X².

Implies that,

X² = 8

X = 2√2

The area of square having side 3X
side =3 × 2√2

side = 6√2

The area of square = (6√2)²

                                = 36 x 2

                                = 72

The area of square is 72 square unit.

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According to the given model, the rate of people entering the subway car changes from increasing to decreasing at approximately t = 5.4 hours.

To determine when the rate of people entering the subway car transitions from increasing to decreasing, we need to find the point where the derivative of the function R(t) changes from positive to negative. The derivative of R(t) with respect to t represents the rate of change of R(t) over time.

Taking the derivative of R(t) with respect to t, we get:

R'(t) = 6.587

Since the derivative is constant, it does not change sign. Therefore, the rate of people entering the subway car is always increasing according to the given model.

As a result, the rate of people entering the subway car never changes from increasing to decreasing within the given model.

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Answer:

240

Step-by-step explanation:

you have to divide 1,920 by 8

Answer:

3/2

Step-by-step explanation:

Answer:

median =19

mean=26.8

Step-by-step explanation:

-MEDIAN is the middle number when arranged in ascending order

-MEAN is the sum (total) of all values set devided by the number of values on the list

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

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Answer:

1 2/9

Step-by-step explanation:

Answer: I- I- okay I’m not gonna answer that I-

Step-by-step explanation:

First, the parent function f(x) = 7ˣ. This function is an exponential function with a base of 7. It has a vertical asymptote at x = -infinity and passes through the point (0,1). The domain of f(x) is all real numbers, and the range is (0, infinity).

Now, let's graph the function g(x) = 7⁻ˣ using the transformation of the graph of f(x). We will first reflect the graph of f(x) about the y-axis, which means that we will substitute -x for x in the equation of f(x) to get g(x) = 7⁻ˣ. This reflection will cause the graph to be a mirror image of the graph of f(x) about the y-axis.

Next, we will shift the graph of g(x) up one unit, which means that the graph will move one unit higher than the graph of f(x). This transformation will cause all the points on the graph to move one unit upward.

The asymptote of the graph of g(x) is the x-axis because as x approaches infinity, 7⁻ˣ approaches 0. Therefore, the equation of the asymptote is y = 0.

The domain of g(x) is all real numbers except for x = 0 because 7⁻⁰ is undefined. The range of g(x) is (0, infinity) because 7⁻ˣ is always positive and approaches 0 as x approaches infinity.

In summary, we can use the transformation of the graph of f(x) = 7ˣ to graph the function g(x) = 7⁻ˣ. The asymptote of the graph is the x-axis, and the domain is all real numbers except for x = 0. The range of g(x) is (0, infinity).

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Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

She sold 125 sandwiches and 175 viands as per the equation using substitution method as the definition of substitution method says, "The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the other equation in this method, as the name implies".

A mathematical formula is an equation that uses algebraic operations like add, subtract, multiply, divide, raise to a power, take the natural logarithm, take the cosine, or some combination of operations to express one variable as a combination of other variable(s). One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. The "scale" (or equation) must ALWAYS be balanced when solving math equations so that both sides are ALWAYS equal.

Here,

Let x be the sandwiches she sold and y be the viands she sold.

x+y=300

y=50+x

x+50+x=300

2x+50=300

2x=250

x=125

y=50+125

y=175

In accordance with the equation and applying the substitution method, she sold 125 sandwiches and 175 appetizers "The substitution method is an algebraic strategy for resolving simultaneous linear equations. This method, as the name suggests, involves substituting the value of a variable from one equation into the other equation ".

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Answer:

please write question with full info

Answer:

156

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

26 for every 1/6

So we multiply 26 times 6 to get the full minute

Answer:

3 rd one

Step-by-step explanation:

The conic section represented by the given equation is Circle.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Expanding, we get,

x² - 2hx + h² + y² - 2ky + k² = r²

x² - 2hx + y² - 2ky + (h² + k² - r²) = 0

The given equation is,

5x² – x + 5y² – 3y + 4 = 0

This is same as the standard form of the circle.

Hence the given equation is that of a circle.

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Answer: 6

Step-by-step explanation:

This is a direct application of the exponent rule \((a^b)^c=a^{bc}\).

Answer:

48

Step-by-step explanation:

It's given that Ava takes 4 breaths every 10 seconds.

4 breaths : 10 seconds. ...(1)

To solve this, first we need to calculate how many seconds there are in two minutes.

As 60 seconds make up one minute, 120 seconds make up two.

Now, to solve for the number of breaths (x), we just multiply (1) by 12. We do this so that we get 120 seconds on the right side, so the left side will give us the answer we need.

4 × 12 breaths : 10 × 12 seconds

48 breaths : 120 seconds.

So, the final answer would be 48 breaths.

Hope this helps! :D

Answer:

288 hours

Step-by-step explanation:

So you have 24 per month. so month can be represented by x.

24x= y

Y is the amount of hours.

One year is 12 months. so plug 12 into x

24(12) =y

y= 288

Since X² (68.732) > X²₀.₀₁ (13.277), we reject the null hypothesis and conclude that There is evidence that political views and level of marijuana usage are related.

The alternative hypothesis states that political beliefs and marijuana use depend on one another within the population, contrary to the null hypothesis that asserts these two variables are independent.

H₀ : Pij = Pi · Pj ; i = 1, 2, 3 ; j = 1, 2, 3

Ha : at least one Pij ≠ Pi · Pj

We want to test whether there is a relationship between political views and marijuana usage levels. The results of a random sample of size n = 1353 are derived from the following formula;

e = (Row total) x (Column total) /Total sample size

We are told to use the 0.01 level of significance to test the null hypothesis. Thus, α = 0.01. The table has r = 3 rows and c = 3 columns. An r × c table has degrees of freedom df = (r - 1) x (c - 1). So, a 3×3 table has degrees of freedom df = (3 - 1) x (3 - 1) = 4. From formula the df = 4 and α = 0.01, χ²₀.₀₁ = 13.277. Reject the null hypothesis if X² ≥ 13.277 where

x² =Σ(a - e)²/e

Substituting the observed and expected frequencies summarized in the table above into the formula for x², we get

X² = 68.732

Rejection Region → X² ≥ 13.277

Test statistic → X² = 68.732

Since X² (68.732) > X²₀.₀₁ (13.277), we reject the null hypothesis and conclude that There is evidence that political views and level of marijuana usage are related.

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1) Based on the use of finite differences, it is right to conclude that the relation between the table values of x and y are quadratic in nature.

2) The completed tables showing the properties of  y=(x-1)² and y=2(x+3)² + 1 are attached accordingly.

3) the equation for the condition where there is a the parabola with a vertex at (-3, 0) opening downward and with a vertical stretch factor of 2 is y = -2(x + 3) ²

1) To determine the nature of relationship between x and y using the finite difference method, the 1st differences is

(-6 ) - (-9) = 3

(-3) - ( -6)  = 3

0 -(-3) = 3

3 - 0= 3

The second differences of y are:

3 - 3 = 0

3 -3 = 0

3 - 3 = 0

Because the second differences are all equal to 0, the relationship is  a quadratic one.

2) See the attached graphs and table

3) Because the open part of the parabola is facing downwards, also, because the vertex is at (-3, 0) we know that the properties of the  parabola can be written as

Vertex: (h, k)
Axis of symmetry: x = h
Stretch or compression factor relatie to y = x²: |a|.

Direction of opening: If a < 0, then the parabola opens downwards and the vertices is a maximum point

If a > 0, the parabola opens upwards and the vertex is a minimum point.

value z may take set of real numbers

values y may take : if a < 0, then y ≤ k

If a > then y ≥ k

Since the vertext is at (-3, 0), then h = -3 and
K = 0

There is a vertical stretch of 2 so |a | = 2

Since the parabola opens downwards, so

y = -2(x-(-3)² + 0

⇒ y = -2 (x +3) ²

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The distance (length) by with the operator misses the edge of the disk obtained using tangent ratio is about 1142.75 ft

Tangent ratio in trigonometry, is the ratio in a right triangle of the length of the side opposite to an angle to the length of the side adjacent to the angle.

The radius of the disk = 50 feet

Height of the disk above the center of the Earth = 225 miles

The error made by the operator in aiming the laser = 0.05°

The conversion factor for feet to miles is; 5820 feet = 1 mile

225 miles = 225 × 5820 feet = 1,309,500 feet

The shift from the location of the edge of the disk, dx, due to the error, can be found as follows;

tan(0.05°) = dx/s

Where

s =  The distance of the disk above the surface of the Earth = 225 miles = 1,309,500 feet

tan(0.05°) = dx/1,309,500

dx = 1,309,500 × tan(0.05°) ≈ 1142.75

The angle the ray from the laser to the edge of the disk makes with the line representing the altitude of the disk, θ = arctan(50/1,309,500) ≈ 2.188 × 10⁻³°

The actual angle due to the error, ∅ = 2.188 × 10⁻³° + 0.05° = 5.2188 × 10⁻²°

The location of the edge of the ray to the error is therefore;

tan(5.2188 × 10⁻²) = New Radius/1,309,500

1,309,500 × tan(5.2188 × 10⁻²) ≈ 1192.75 feet

The distance by which the operator misses the edge is therefore; d = 1192.75 feet - 50 feet = 1142.75 feet

The observed misses the edge of the disc by about 1142.75 feet

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Answer:

The total number of faces in a pyramid= 1+n