The area of the rectangle is 525 square centimeters. The ratio of the length to the width is 7 : 3 . Find the length and the width

The appropriate null and alternative hypothesis for calculating number of gogles is H0 : No linear relation H1 : there is a relation

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

It's a common tool for describing simple relationships without making a statement about cause and effect.

According to the question,

A group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.

Also, They wanted to know if the weight of the piknits can be used to predict the number of gogles.

From the given information,

Null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of gogles

Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles

Option 4 is correct about null and alternative hypothesis

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Answer:

4 + 4 = 8

Step-by-step explanation:

Answer:

  n = 6

Step-by-step explanation:

The left side is 8/12 = 2/3 the length of the bottom, so ...

  n = (2/3)(9)

  n = 6

Answer:

150u+90

Step-by-step explanation:

..

Answer:

In (5u+3) 5 is a constant

Step-by-step explanation:

Answer:

Answer is G 1.5

Step-by-step explanation:

1. Distribute the 5 to x and 2 by multiplying. and the 7 to the 4 and -x by multiplying

2. carry over the 7x by adding it to 5x. to get x to one side.

3. subtract 10 from both side

4. Divide both side by 12

5. simplify and convert to decimal

Answer:

x=8

Step-by-step explanation:

Area of a rectangle=length×width

Area=104

Width=x

Length=5+x

104=x*(5+x)

104=5x+x^2

104-5x-x^2=0

x^2+5x-104=0

Can also be written as

-x^2-5x+104=0

Solve the quadratic equation using formula

−x2−5x+104=0

using the Quadratic Formula where

a = -1, b = -5, and c = 104

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(104)/2(−1)

x=5±√25−(−416)/−2

x=5±√441/−2

The discriminant b^2−4ac>0

so, there are two real roots.

Simplify the Radical:

x=5±21/−2

x=-26/2 or 16/2

x=-13 or 8

The value of x can't be negative

So, x=8 is the answer

A higher significance level increases the probability that the null hypothesis is rejected.

In hypothesis testing, the significance level, often denoted as α, represents the maximum probability of rejecting the null hypothesis when it is true. It determines the threshold for deciding whether to reject the null hypothesis or not.

Typically, a significance level of 0.05 (5%) is commonly used. This means that if the calculated probability, called the p-value, is less than 0.05, the null hypothesis is rejected in favor of the alternative hypothesis. By choosing a higher significance level, such as 0.10 (10%), the threshold for rejecting the null hypothesis becomes more lenient. As a result, the probability of rejecting the null hypothesis increases.

It's important to note that increasing the significance level also increases the likelihood of making a Type I error, which is the rejection of a true null hypothesis. Therefore, the choice of significance level should be based on the context, the consequences of making errors, and other relevant factors.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

\(x>-1\)

Step-by-step explanation:

I used guess and check - anything above -1 works!

Answer:

x>-1

Explanation:

4x-2>-6

4x>-6+2

4x>-4

4x>-4

=x>-1

Answer:

a

Step-by-step explanation:

Answer:

Perpendicular.

Step-by-step explanation:

It's perpendicular because one line is crossing the other two, thus making it perpendicular. Have a great day!

Answer:

-5s = 5

S= - 1

Step-by-step explanation:

Udndkdjdndjxbdnekdjdndkdjdjd

The value of the x is 5 after applying the properties of the triangle in AABC, AC is extended through point C to point D,

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

In AABC, AC is extended through point C to point D,

From the figure:

The equation can be framed:

180 - (9x -1) = 180 = (3x-4) - (3x+18)

After simplification:

3x = 15

x = 5

Thus, the value of the x is 5 after applying the properties of the triangle in AABC, AC is extended through point C to point D,

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The length of the arc intercepted by a central angle of π/6 radians in a circle with a radius of 16 inches is approximately 8.4 inches.

To find the length s of the arc intercepted by a central angle of π/6 radians in a circle with a radius of 16 inches, we can use the formula for the length of an arc:

where s is the arc length, r is the radius of the circle, and θ is the central angle in radians.

Plugging in the values, we have:

Now, we can calculate the length of the arc:

Rounding to the nearest tenth, the length of the arc intercepted by a central angle of π/6 radians in a circle with a radius of 16 inches is approximately 8.4 inches.

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Answer:

48

Step-by-step explanation:

80% of 60= 48

hope this helps

Answer:

A. and F. and B.

:)

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, the graph file is missing that's why its solution can be defined as follows:

In this question, the mean value is greater than the median, and the rightmost values were in the data set, which is raised to the mean and more than the median value.

Considering that the histogram is skewed to the right, the correct statement regarding the relationship between the mean and the median is given by:

The mean is greater than the median.

In this problem, it is skewed to the right, hence the mean is greater than the median.

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Answer:

The answer should be 10.2.

Step-by-step explanation:

Answer:

AC = \(\sqrt{105}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

AC² + BC² = AB²

AC² + 4² = 11²

AC² + 16 = 121 ( subtract 16 from both sides )

AC² = 105 ( take square root of both sides )

AC = \(\sqrt{105}\) ≈ 10.25 cm ( to 2 dec. places )

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

\(x = 2\)

Step-by-step explanation:

To solve for x in this problem, we can equate ratios comparing the corresponding side lengths of the given similar triangles.

\(\dfrac{9}{9 + 4.5} = \dfrac{x}{3}\)

↓ multiply both sides by 3

\(3\cdot \dfrac{9}{13.5} = x\)

↓ simplify

\(\dfrac{27}{13.5} = x\)

\(\boxed{2 = x}\)

Answer:

y < (2 - 3x)/2.

Step-by-step explanation:

(3x+2y)<2

2y < 2 - 3x

y < (2 - 3x)/2

Answer:

I believe its A

Step-by-step explanation:

Sorry if im wrong

The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.



To build a deterministic finite automaton (DFA) for the language L3 = {x ∈ {a, b, c}* | x has strictly more than 3 'c' symbols and does not end in 'c'}, we can design the following DFA M3:1. Start with an initial state q0.

2. Create a loop on q0 for 'a', 'b', and 'c' inputs, leading back to q0.

3. From q0, transition to a state q1 on input 'c'. This represents the first 'c' encountered.

4. From q1, create a loop for 'a' and 'b' inputs, leading back to q1.

5. Transition from q1 to q2 on input 'c'. This represents the second 'c' encountered.

6. Similarly, create a loop on q2 for 'a' and 'b' inputs, leading back to q2.

7. Transition from q2 to q3 on input 'c'. This represents the third 'c' encountered.

8. From q3, create a loop for 'a', 'b', and 'c' inputs, leading back to q3.

9. Create a final accepting state q4 and transition from q3 to q4 on 'a' or 'b' inputs.

In this DFA, any string that ends with 'c' or has less than three 'c' symbols will not reach the accepting state q4, hence not belonging to L3.

Therefore, The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.

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The magnitude of vector A of the following components AX and AY is 88.95m

In this question we will apply the pythagoras theorem which will be depicted as

\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)

where , R = resultant magnitude of vector

            AX and AY are the components of vector

As per the question

AX = 83m

AY = 32m

Putting the values in the equation (1) we get

                               \(R= \sqrt{83^{2} +32^{2} }\)

                               \(R =\sqrt{6889+1024}\)

                               \(R=\sqrt{7913}\\\)

                               R  =  88.95m

Thus the magnitude of vector A for the following components is 88.95m

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The total number of ways to choose 10 players with at least one woman is 285

There are two cases to consider choosing exactly one woman and choosing two or three women, we have to use the combination here.

Case 1: Choosing exactly one woman

There are 3 ways to choose one woman and 10 ways to choose the other 9 players (out of the remaining 10 people, since one person is already chosen). So, there are 3*10 = 30 ways to choose 10 players with exactly one woman.

Case 2: Choosing two or three women

There are (3 choose 2) = 3 ways to choose two women and (10 choose 8) = 45 ways to choose the other 8 players (out of the remaining 10 people, since two people are already chosen). So, there are 3*45 = 135 ways to choose 10 players with two women.

There are (3 choose 3) = 1 way to choose three women and (10 choose 7) = 120 ways to choose the other 7 players (out of the remaining 10 people, since three people are already chosen). So, there are 1*120 = 120 ways to choose 10 players with three women.

Therefore, the total number of ways to choose 10 players with at least one woman is 30 + 135 + 120 = 285.

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Answer:

no solution

Step-by-step explanation:

6x + 33 = 6x + 36

33 ≠ 36

Answer:

no solutions

Step-by-step explanation:

6x + 33 = 6(x + 6) ← distribute parenthesis

6x + 33 = 6x + 36 ( subtract 33 from both sides )

6x = 6x + 3 ( subtract 6x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

]

Answer:

Decrease

Step-by-step explanation:

The points are lower on the right side

Therefor Decrease

Step-by-step explanation:

As the value of x increase the value of y remains the same

Answer:

48 cents

Step-by-step explanation:

Answer:

48 cents

Step-by-step explanation:

Answer:

x = \(\frac{b-7}{a-2}\)

Step-by-step explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x = \(\frac{b-7}{a-2}\)