May someone please help me out? Just do 1 and I just need steps because I’m unfamiliar with this.

Answer: (a+b)2=9. a2+2ab+b2=9

Step-by-step explanation:

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.

The correct option is B.

The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.

The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.

Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.

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I understand that the question you are looking for is:

Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.

a. weak negative

b. moderately positive

c. weak positive

d. strong positive

Answer:

N = 76

hope this helps

_____

Answer:

Trapezoid

mAB = -2/3

mBC = 8

mCD = -2/3

mAD = 14/5

Step-by-step explanation:

Slope formula can be best seen as:

m = (y2 - y1) / (x2 - x1)

Step 1 : Find the Slope of each points

mAB = -2/3

mBC = 8

mCD = -2/3

mAD = 14/5

Step 2 : Classify the Quadrilateral

Rhombus Properties | All side lengths are the same and opposide sides have same slope

Kite | Adjacent sides are the same length

Trapezoid | One set of parrallel line (same slope)

Final Answer

Based on the properties of quadrilaterals, it is a trapezoid as it has one pair of parrallel line with the same slope of -2/3.

We can write (15 + 45) as a product of 2 factors using GCF and the distributive property 15(1 + 3).

We are given the following expression-

15 + 45

Now, we can factorize 15 into prime factors as follows -

= 3 × 5 (15 × 1)

Similarly, we can factorize 45 into prime factors as follows -

= 3 × 3 × 5 (15 × 3)

Thus, the greatest common factor of 15 and 45 is 15, so we can

= 15 × 1 = 15 and 15 × 3 is 45

Hence, we can write (15 + 45) as 15(1 + 3).

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There are 12 possible seating arrangement that Ali, Bonnie, Carlo, and Dianna can seat in a 4 seated car while visiting to a nearby theme park.

There are in total 4 people so the the possible seating arrangement should be 4! = 4*3*2 = 24.

But only 2 people know how to drive a car that is Bonnie and Carlo,

So the remaining seat can be occupied by any three that are remaining beside the driver.

So 3 remaining people can go in the front passenger seat.

There are 2 people who can go in the first back passenger seat.

The remaining person must go in the last seat.

Thus, there are 2x3x2 or 12 ways that they can be seated.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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16) We know that the triangles are similar because the three angles are equal in both triangles:

The angles in K are opposite by the vertex, so they are equal.

We also know that angles L and N are equal too.

By the rule of the sum of the angles in a triangle, we know that the third angle has to be equal.

Also, the side opposite to the angle N and L in each triangle have the same measure, so we can conclude that the triangles are similar.

Answer:

14

Step-by-step explanation:

Okay, so you need to create an equation which shows that twice the sum of a number (n) and 7 is 3 times that number. So you need twice the sum of n + 7 and that will equal 3 times n.

2(n + 7) = 3n

Now, multiply

2n + 14 = 3n

2n + 14 -2n = 3n - 2n

14 = n

So the number is 14. Now you can check your answer

2(14 + 7) = 3(14)

2x21 = 42

42 = 42

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

d

Step-by-step explanation:

We can conclude that there is sufficient evidence at the 0.05 level to support the company's claim that more than 70% of computer chips do not fail in the first 1000 hours of their use.

In the given scenario, we have to determine if there is enough evidence to support the company's claim.

For this, we have to construct the null and alternative hypotheses.

The null hypothesis (H0) is that the proportion of computer chips that do not fail in the first 1000 hours of their use is equal to or less than 70%.

The alternative hypothesis (H1) is that the proportion of computer chips that do not fail in the first 1000 hours of their use is more than 70%.

H0: P ≤ 0.70H1:

P > 0.70

Where P is the true population proportion of computer chips that do not fail in the first 1000 hours of their use.

To check whether the given claim is true, we will perform a hypothesis test at the 0.05 significance level.

We know that sample proportion (p) = 0.73

Sample size (n) = 1700

Level of significance (α) = 0.05

Using the formula z = (p - P) / √(P(1-P)/n)z

= (0.73 - 0.70) / √(0.70(1-0.70)/1700)z

= 4.20

Since this is a one-tailed test and our alternative hypothesis is one-tailed, the critical z-value is 1.645 (for α = 0.05).

Since our test statistic value (4.20) is greater than the critical value (1.645), we reject the null hypothesis.

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The length of each side of the equilateral triangle is 5x³ + 11x⁵

From the question, we are to determine the length of each side of the equilateral triangle.

An equilateral triangle has its sides equal to each other.

If the length of a side of an equilateral triangle is c,

Then, the perimeter, P, of the triangle is

P = 3c

From the given information,

P = 15x³ + 33x⁵

∴ 3c = 15x³ + 33x⁵

c = (15x³ + 33x⁵) / 3  

c = 3(5x³ + 11x⁵) / 3

c = 5x³ + 11x⁵

Hence, the length of each side of the equilateral triangle is 5x³ + 11x⁵

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Answer: 5x^3 + 11x^5

Step-by-step explanation:

The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.

To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)

Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.

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The centers of the circles are 15 units apart, if two circles have radii 15 and 95 and if the two external tangents to the circles intersect at 60 degrees.

Let O1 and O2 be the centers of the circles with radii 15 and 95, respectively. Let T1 and T2 be the points of tangency of the external tangent lines with the circles.

Since the tangent lines are external to the circles, we can draw radii perpendicular to the tangent lines from the centers of the circles to the points of tangency. Let T1' and T2' be the points where these radii intersect the tangent lines.

Then, we have:

OT1' = 15

OT2' = 95

T1'T2' = 2*OT1'*cos(60) = OT1'

Note that T1'T2' is equal to the distance between the centers of the circles. Therefore, we have:

Distance between the centers = T1'T2' = OT1' = 15

Hence, the centers of the circles are 15 units apart.

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Answer:

30in³

Step-by-step explanation:

You just need to use l*w*h (length*width*height). The length is 5, the width is 2, and the height is 3. So, 5*2*3 would be 30.

Answer:

1

Step-by-step explanation:

Anything (besides 0) to the 0 power is 1.

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

24 minus 12 plus 6

Step-by-step explanation:

minus 12

Answer:

43 Degrees

Step-by-step explanation:

(3x + 16) + (6x + 1) + (82) = 180 Degrees

180 - 82 = 98 Degrees

(3x + 16) + (6x + 1) = 9x + 17

9x + 17 = 98

98 - 17 = 81

81 / 9 = 9

x = 9

6(9) + 1 = 55 Degrees

3(9) + 16 = 43 Degrees

55 + 43 + 82 = 180 Degrees

If the average temperature in the crown of the balloon goes above the high end of your confidence interval,

It will go up because hot air will make the balloon rise.

When the air inside the balloon is heated, it becomes less dense than the surrounding air, causing the balloon to become less dense than the surrounding air and hence, rise. This is the principle behind how hot air balloons work. Therefore, if the average temperature in the crown of the balloon goes above the high end of the confidence interval, it means that the air inside the balloon is hotter than expected, and the balloon will tend to rise.

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Answer:

The answer is $22.74

Step-by-step explanation:

Answer:

as a decimal,, you just devide 3/8 then multiply by 100 it results to

37.5

Answer:

\(1 - 3x = 3x + 1 \\ 3x + 3x = 1 - 1 \\ 6x = 0 \\ \\ x = \frac{0}{6} \\ \\ x = 0\)

I hope I helped you^_^

Answer:

x = 0

Step-by-step explanation:

1 - 3x = 3x + 1 ( subtract 3x from both sides )

1 - 6x = 1 ( subtract 1 from both sides )

- 6x = 0 , then

x = 0

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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The second part of step 1 in the ideas process, after the problem has been identified, is to research and gather information.

This involves gathering data and information related to the problem, analyzing it, and understanding its implications. It is important to have a clear understanding of the problem and the factors that contribute to it before moving forward with generating ideas. This research can include a variety of methods such as surveys, focus groups, interviews, and market analysis.

The information gathered can help to identify potential solutions and ensure that the ideas generated are relevant and effective. Once the research and analysis are complete, it is time to move on to step 2, which is generating ideas.

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Answer:

Step-by-step explanation:

Use the given proportion

Solve this for a, divide both sides by 6:

It means

Factors of the given expression are \((2x-5) ,(3x+2)\)

The given expression is:

\(6x^2-11x-10\)

A factor is a number that divides another number leaving no remainder.

we can split the middle term as,

\(6x^2-15x +4x-10\\\)

\(3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)\)

Therefore factors of the given expression are \((2x-5) ,(3x+2)\)

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