1/4x + 6 = 1/2 (x+4)

Implicitly quantified statements can be converted into formally quantified statements by specifying the quantifiers and the domain of discourse.

To convert an implicitly quantified statement to its formally quantified statement equivalent, we need to determine the quantifiers and the domain of discourse.

1. For universally quantified statements, we use the universal quantifier (∀). It indicates that the statement holds for all elements in the domain of discourse. For example, if the statement is "All cats have tails," we can convert it to the formally quantified statement ∀x(Cat(x) → HasTail(x)), where Cat(x) represents "x is a cat" and HasTail(x) represents "x has a tail."

2. For existentially quantified statements, we use the existential quantifier (∃). It indicates that there exists at least one element in the domain of discourse for which the statement is true. For example, if the statement is "There is a red apple," we can convert it to the formally quantified statement ∃x(Red(x) ∧ Apple(x)), where Red(x) represents "x is red" and Apple(x) represents "x is an apple."

By explicitly stating the quantifiers and defining the predicates in the statement, we can convert implicitly quantified statements into their formally quantified statement equivalents, making the meaning and scope of the statement clear within a specific domain of discourse.

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There is no sufficient evidence to conclude that p₁ ≠ p₂

From the question, we have the following parameters that can be used in our computation:

n₁ = 555

x₁ = 451

n₂ = 600

x₂ = 510

Calculate the pooled sample proportion using

p = sum of x/sum of n

So, we have

p = (451 + 510)/(555 + 600)

p = 0.832

Calculate the test statistic using

[tex]z = (\frac{x_1}{n_1} - \frac{x_2}{n_2}) \div (\sqrt{(p * (1 - p) / n_1) + (p * (1 - p) / n_2)}}[/tex]

So, we have

[tex]z = (\frac{451}{555} - \frac{510}{600}) \div (\sqrt{(0.832 * (1 - 0.832) / 555) + (0.832 * (1 - 0.832) / 600)}})[/tex]

When solved, we have

z = -1.699

The critical value at α = 0.05 level of significance is 1.645

The z = -1.699 is less than this value

This means that we fail to reject the null hypothesis

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Answer:

aww thank you

pls mark brainliest

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

i just did the assignment

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y- intercepts (-3 = 2 3, 0) , (-3 - 2 3, 0)

Using the Russian Peasant Multiplication, 49 x 65 is 3,185.

The Russian Peasant Multiplication method converts the problem into binary (base 2) multiplication from base 10 by halving the numbers on the first column repeatedly till the second number doesn't become 1 and doubling the numbers on the second column.

Then, add up the numbers in the second column that correspond to odd numbers in the first column to get the result.

              49                   65

   ÷ 2      24                  130   x 2

               12                 260

                6                 520

                3               1,040

                1               2,080

Add:

65, because we ignored 1 when we divided 49 by 2

1,040, because we ignored 1 when we divided 3 by 2

2,080

= 3,185

Check:

49 x 65 = 3,185

Based on the Russian Peasant Multiplication method, the product of 49 x 65 is 3,185.

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there are 16/20 x 1 gallon = 4/5 gallons of white paint in one gallon of purple paint (got it from safari)

Answer:

6

Step-by-step explanation:

8 - 2 / 2 - 1

6 / 1

6

Answer:

28

Step-by-step explanation:

plants in the garden = area of the garden / number of plants per square meter

the garden is in the shape of a triangle

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

(1/2) x 24 x 7 = 84 meters^2

plants in the garden = 84/3 = 28  

Answer:

19

Step-by-step explanation:

:)

The amount of fence that Priya would need (in meters) is 19 meters approximately.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

For this case, we've to find the length of the fencing she needs to cover her garden.

Length of fencing needed = Perimeter of the considered right triangle = sum of its sides' lengths

Using the image attached below,  from the perspective of angle A which  is of 50 degrees from inside, we get:

[tex]\tan(m\angle A) = \tan(50^\circ) = \dfrac{p}{5}\\\\p = 5 \tan(50^\circ) \approx 5.96 \: \rm m[/tex]

[tex]\sin(m\angle A) = \sin(50^\circ) = \dfrac{p}{h}\\\\h = \dfrac{p}{\sin(50^\circ)} \approx \dfrac{5.96}{\sin(50^\circ)} \approx 7.78 \: \rm m[/tex]

Thus, perimeter of the triangle = 5 + p + h ≈ 18.74 m ≈ 19 m

Thus, the amount of fence that Priya would need (in meters) is 19 meters approximately.

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The percent of the scores that were 85 or better is 25.14%.

The percent of the scores that were 78 or less is 39.25%.

The percent of the scores that were 85 or better is 25.14%.

Given a normal distribution of test scores from that same statistics class where the mean is 80 and the standard deviation is 7.5, we are to determine what percent of the scores were 78 or less and what percent of the scores were 85 or better.

Below are the steps to determine what percent of the scores were 78 or less.

Step 1: Determine the Z-score

To determine the Z-score, we use the formula

Z = (X - μ) / σ

Where X is the score, μ is the mean and σ is the standard deviation

Z = (78 - 80) / 7.5

Z = -0.27

Step 2: Use the Z-table to determine the percentage

Using the Z-table, we can find the percentage of scores that lie below Z = -0.27 which is 0.3925 or 39.25%

Therefore, the percent of the scores that were 78 or less is 39.25%.

Below are the steps to determine what percent of the scores were 85 or better.

Step 1: Determine the Z-score

To determine the Z-score, we use the formula Z = (X - μ) / σ

Where X is the score, μ is the mean and σ is the standard deviation

Z = (85 - 80) / 7.5

Z = 0.67

Step 2: Use the Z-table to determine the percentage

Using the Z-table, we can find the percentage of scores that lie above Z = 0.67

Which is 0.2514 or 25.14%

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Answer:

2.88 mi

Step-by-step explanation:

Answer:

5:30 p.m.

Step-by-step explanation:

30.15 - 6 = 24.15

24.15 / 2.3 = 10.5 hrs

7 + 10.5 = 17.5 = 5:30 p.m.

Answer:

B

Step-by-step explanation:

Answer: Option C

Step-by-step explanation:

C because 6+1=1+1+1+1+1+1+1

Answer:

C

Step-by-step explanation:

We want to find which model shows two equal expressions. We know that the value of x is 6. That being said, on the left side of each equation, plug in 6 for every "x" you see. Then, add the values on both sides. If they're equal, that's your answer.

For example:

In choice A, we see two x's, so we plug in 6 for them both and add them. That's 12 on the left side. On the other side of the equation, we have 7 "1" boxes, which simply just means add them, so that's 7 on the other side. 12 does not equal 7, therefore A is not the answer. However, for choice C, we are given x, which we know is 6, and a "1" box, which simply means 6 + 1, which is 7. On the other side of this equation, we have 7 "1" boxes, so that's 7. The equation becomes 7 = 7, which is true, so that is our answer.

Answer:

D. zero product property

Step-by-step explanation:

Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.

Thus,

xy = 0, therefore,

x = 0 or y = 0

Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.

Answer:

3(5 + 7)

Step-by-step explanation:

Shana is carrying our a craft project

She is making use of yarns and stuck

She has three green yarn pieces and seven blue yarn pieces

She has three times as many yarn pieces

Therefore the expression can be represented as follows

3(5 + 7)

Answer:

b, the probability that a customer buys a taco, a drink, or both is 45%

P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

In terms of this problem, P(A or B) = 0.45 represents the probability that a customer buys either a taco (event A) or a drink (event B).

When we say "P(A or B)," it refers to the probability of either event A or event B occurring. In this case, it means the probability of a customer buying a taco or a drink from the food truck.

The value of 0.45 indicates the numerical probability associated with the event A or B. It represents the likelihood that a randomly selected customer from the food truck will purchase either a taco or a drink.

Therefore, P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

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Answer:

4 units

Step-by-step explanation:

5+3=8

12-8=4

Answer:

C 1/9

Step-by-step explanation:

She needs to run 1/3 of a mile and is going to run/jog/walk that 1/3 mile

So she must do 1/9 of a mile running, 1/9 walking, and 1/9 jogging because 1/3 is equivalent to 3/9.

Since she is going to run/jog/walk the same amount of the 1/3 she is going to run 1/9 of the 1/3

Let me know if I'm wrong

Hope I helped :]

Answer : There is enough evidence to suggest that a higher proportion of wives do laundry at home compared to the proportion of husbands who do laundry at home.

Explanation:

The null hypothesis is that the proportion of wives and husbands who do laundry at home is the same. The alternative hypothesis is that the proportion of wives and husbands who do laundry at home is different.

Mathematically, null and alternative hypotheses are given below.                                                                                                   H0: P1 - P2 = 0H1: P1 - P2 ≠ 0 where P1 is the proportion of wives who do laundry at home and P2 is the proportion of husbands who do laundry at home. Let α = 0.01 be the significance level. Therefore, α/2 = 0.005 and the Zα/2 value for the two-tailed test is ±2.58.

The point estimate of the difference in the proportions is:Point estimate,                                                                                    PE = P1 - P2 = (44/66) - (18/46) = 0.6667 - 0.3913 = 0.2754

The standard error of the difference in the proportions is:                                                                                                                 SE = sqrt{(P1(1 - P1)/n1) + (P2(1 - P2)/n2)} = sqrt{[(44/66)(22/66)/65] + [(18/46)(28/46)/45]} = 0.1033

The test statistic is given by:Z = (PE - 0) / SE = 0.2754 / 0.1033 = 2.6641

Since the absolute value of the test statistic is greater than the Zα/2 value, we reject the null hypothesis and conclude that the proportion of wives who do laundry at home is different from the proportion of husbands who do laundry at home at a 1% significance level. Therefore, there is enough evidence to suggest that a higher proportion of wives do laundry at home compared to the proportion of husbands who do laundry at home.

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The value of the function f(x) = 9 + √2 - 3 is a constant and can be simplified as f(x) = 6 + √2.

The given function f(x) = 9 + √2 - 3 is an expression that does not depend on the variable x. Therefore, it represents a constant value.

To evaluate the function, we can simplify the expression by combining like terms:

f(x) = 9 + √2 - 3

Combining the constants 9 and -3, we have:

f(x) = 6 + √2

Thus, the value of the function f(x) is a constant, which is 6 + √2.

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Answer:

199.9

Step-by-step explanation:

The statement "If dy/dx is undefined for a given value of x, then the line tangent to the curve y = f(x) at that value does not exist" is false.

If the derivative dy/dx is undefined at a given value of x, it means that the slope of the tangent line is undefined at that point.

However, the tangent line can still exist.

For example, consider the curve y = |x| at x = 0.

The derivative dy/dx is undefined at x = 0 since the slope changes abruptly at that point. However, we can still draw a tangent line at x = 0, which is the y-axis itself.

Therefore, even if the derivative is undefined, it does not necessarily mean that the tangent line does not exist.

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Answer:

144

Step-by-step explanation:

the area is 144 im prob wrong

Answer:

22.5 miles

Step-by-step explanation:

75/60 = x/18

60x = 1350

x = 22.5

Answer:

I think the answer would be 65 , because :

2^4 + 7^2 = 16 + 49 = 65 .

hope it helps u ^.^

Answer:

65

Step-by-step explanation:

First you would solve the exponent and then you would add them

2 to the power of 4 = 16

7 to the power of 2 = 49

16 + 49 = 65

2 to the power of 4 + 7 to the power of 2 = 65