Choose the option that best describes what it means to get 70% on a test.
If there were 70 points possible, you earned all of them.
If there were 100 points possible, you earned 7.
If there were 100 points possible, you earned 30.
O If there were 100 points possible, you earned 70.

The equation of the curve can be expressed as x² + y = 5. The parameterization of the curve is given by x(t) = sin(t) and y(t) = 5 + cos²(t).

In the parameterization, the x-coordinate is given by x(t) = sin(t) and the y-coordinate is given by y(t) = 5 + cos²(t). By substituting these expressions into the equation of the curve, we obtain x² + y = sin²(t) + (5 + cos²(t)) = sin²(t) + cos²(t) + 5 = 1 + 5 = 6.

Therefore, the equation x² + y = 5 simplifies to 6, which is the equation of the curve defined by the parameterization x(t) = sin(t) and y(t) = 5 + cos²(t).

The equation x² + y = 5 represents a different curve than the one described by the parameterization x(t) = sin(t) and y(t) = 5 + cos²(t). The equation x² + y = 5 is a horizontal line in the xy-plane, while the parameterization describes a curve that is not a line. Therefore, the equation x² + y = 5 does not represent the curve defined by the given parameterization. The correct equation for the curve is 6, as explained earlier.

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Suppose you have a valid argument with a false conclusion. Given this information, what do you know about the truth value of the argument's premises? The premises must all be false. At least one premise must be false. There must be at least one true premise and at least one false premise. The premises may be any combination of true and false. The premises must all be true.

"The argument may be either valid or invalid" When trying to determine the validity of an argument in logic, the truth of a premise is a non-factor. Logic is concerned about whether or not an argument would effectively transfer truth from its premises to the conclusion if the premises were true.

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Answer:

9.8

Step-by-step explanation:

Answer:

A: Table W.

Step-by-step explanation:

A function for tables are where the X-input NEVER repeat.

Graph W. Doesn't have any repeating inputs on the x side

Y can repeat as much as the problem make wants but the x CAN NOT.

The missing value in the table is 0.09

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

The tables of values

The second table is calculated using the following formula

Frequency/Total frequency

using the above as a guide, we have the following:

Missing value = 3/(9 + 2 + 18 + 3)

Evaluate

Missing value = 0.09

Hence, the missing value in the table is 0.09

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Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2

Answer:

The average height of the 5 players is 71 inches.

Step-by-step explanation:

First, add up all the numbers of everyone's height: 68+70+76+71+70

After that, you would divide the sum of everyone's height, 355 by 5 (since there's 5 players) to get 71 inches as the average height of the 5 players. :)

For the steel plate which is to be cast,

The volume of molten metal required to avoid shrinking is about 1289mL.

The dimensions of a cubical riser, which can avoid shrinkage are 3.38cm.

The riser's adequacy cannot be proved.

This question is based on the basic principles of metallurgy.

A)

We calculate the volume of molten metal which is required to avoid shrinkage after accounting for the shrinkage which will occur.

So, the volume of metal required for final casting is:

Final Casting Volume (F.C.V) = Initial volume / (1 - Shrinkage)

The value of shrinkage is in decimals.

Here, the steel liquid shrinks by 3% during solidification.

Inital volume = 50*50*0.5

                     = 1250 cm³

So,

F.C.V = 1250/(1 - 0.03)

F.C.V = 1250/0.97

F.C.V = 1288.6 cm³

So, about 1289 mL of liquid steel is required to avoid shrinkage.

B)

If we need the riser to compensate for the shrinkage, we need it to provide enough metal while it solidifies.

So, Riser Volume = Shrinkage Volume

Shrinkage Volume (S.V) = (F.C.V)*(Shrinkage)

                               = 1288.6(0.03)

                               = 38.65 cm³

But since we need the dimensions,

Dimensions = ∛(S.V)                           (Cubical Riser)

                    = ∛(38.65)

                    = 3.38 cm

The dimension of the cubical riser is 3.38 cm.

C)

According to Cain's Rule, the volume of the riser is more than or equal to 1.5 times the volume of casting that it is intended to feed.

Without the casting volume, we cannot prove its adequacy.

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Answer:

v=3√3in

Step-by-step explanation:

Answer:

3√3in c:

Step-by-step explanation:

we need to randomly select and survey 378 Americans to estimate the proportion of Americans who support free trade in 2019 within a 98% confidence interval with a 0.21 margin of error.

When estimating a 98% confidence interval for the true proportion of Americans who support free trade in 2019 with a 0.21 margin of error,

the number of randomly selected Americans that must be surveyed is 377.32 or approximately 378, using the formula below:

Margin of error = z * sqrt[(p * (1 - p)) / n]where:p = proportion of Americans who support free traden = sample sizez = z-score for a 98%

confidence interval= 2.33 (obtained from z-table)margin of error = 0.21Rearranging the formula above and solving for

n:n = [(z^2 * p * (1 - p)) / (margin of error)^2] = [(2.33^2 * 0.5 * (1 - 0.5)) / 0.21^2] = 377.32 (rounded up to 378)

Therefore, we need to randomly select and survey 378 Americans to estimate the proportion of Americans who support free trade in 2019 within a 98% confidence interval with a 0.21 margin of error.

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Answer:

18 ft.

Step-by-step explanation:

While you don't have the table provided, this is still a relatively simple problem to solve.

As we know, there are 3 feet per 1 yard (this can be written as 3 ft. = 1 yd. if that's easier to comprehend). So, if we're trying to find how many feet are in 6 yards, you'll write out your equation as 3*6=?. To find what ? is, you'll do the multiplication: 3*6-18.

So, with this, there are 18 feet in 6 yards.

Answer: 71  1/2$

Step-by-step explanation:

1.34 is the critical value Za/2 that corresponds to a 82% level of confidence.

A critical value in statistics is a cut-off number that is compared to a test statistic in hypothesis testing to determine if the null hypothesis can be rejected or not. The value of the test statistic that establishes the upper and lower boundaries of a confidence interval or that establishes the level of statistical significance in a statistical test is known as the crucial value. The term "critical value" in statistics refers to the unit statisticians use to determine the accuracy margin within a collection of data and is denoted as: Critical probability.

Finding critical value of Z at 82% confidence level:

Step 1: α% = 100%-82% = 18%

Step 2: α = 18% = 0.18

Step 3: α/2 = 0.18/2 = 0.09

Step 4: 1- α/2 = 1-0.09 = 0.91

Step 5: Critical value of Z at 82%confidence level:

= Z at 0.91 (from Z tables) ≈ 1.34

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The quadratic equation is:

To find if the number of solutions, we use the discriminant of the equation. But first, we compare the given equation with the general quadratic equation:

By comparison, we find the values of a, b, and c:

Now, as we said previously, we have to use the discriminant to find the number of solutions. The discriminant is defined as follows:

• If the value of D results to be equal to 0, there will be 1 real solution.

• If the value of D results to be greater than 0, there will be 2 real solutions.

• And if the value of D results to be less than 0, there will be no real solutions.

We substitute a, b and c into the discriminant formula:

Solving the operations:

As we can see, the value of D is less than 0 (D<0) which indicates that there will be no real solutions for this quadratic equation.

Answer: No real solutions

Answer:

3  7777/10000

Step-by-step explanation:

Answer:

\(3\frac{7}{9}\)

Step-by-step explanation:

\(3.777...=3+0.777...\)

\(0.777...=x\\7.777...=10x\)

\(10x-x=7.777...-0.777...\\9x=7\\x=\frac{7}{9}\)

The answer is \(3\frac{7}{9}\)

Formular for total surface area of a cylinder

S = 1231.5 sq ft

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr^2h

We are given that the diameter of the cylinder is 8 cm, so the radius is half of that, or 4 cm. We are also given that the volume is 48 cubic cm. Substituting these values into the formula, we get:

48 = π(4 cm)^2h

Simplifying:

48 = 16πh

3 = πh

h = 0.955 cm

Therefore, the height of the cylinder is approximately 0.955 cm

There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.

A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.

The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.

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Step-by-step explanation: (-6,6) (-4,4) (-5,5) (-3,3)

A rhombus like shape in quadrant 1.

The values a = 11 and b = 4 in the expression (5 + 2√3)/(7 + ⁴√3) = a + b√3.

To find the values of "a" and "b" in the expression (5 + 2√3)/(7 + ⁴√3) = a + b√3.

we need to rationalize the denominator:

Let's start by multiplying both the numerator and the denominator by the conjugate of the denominator, which is (7 - ⁴√3):

[(5 + 2√3) × (7 - ⁴√3)] / [(7 + ⁴√3) × (7 - ⁴√3)]

Expanding and simplifying the numerator and denominator, we have:

(35 - 10√3 + 14√3 - 8 × 3) / (49 - 16 × 3)

(35 + 4√3 - 24) / (49 - 48)

(11 + 4√3) / 1

Now, we have the expression in the form a + b√3.

Therefore, a = 11 and b = 4.

So, a = 11 and b = 4 in the expression (5 + 2√3)/(7 + ⁴√3) = a + b√3.

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Answer:

d= -1/8

Step-by-step explanation:

8d+d+3d+2+4d= 16d+2

16d= -2

d= -1/8

Answer:

C - no association

Step-by-step explanation:

The data isn't linked/following a general trend.

Answer:

x=5

Step-by-step explanation:

An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.  

Answer:

Step-by-step explanation: you need 10 other step up down

The approximate measure of angle JGH is 70.5°.

According to this question, we have a right triangle in which lengths of its hypotenuse (GH), in centimeters, and one leg (JH) are known and we must determine the measure of an angle (∠JGH), in degrees. A representation of this triangle is included in the image attached below.

By trigonometry we have the following expression for the required angle:

cos∠GJH = HJ/GH               .......(1)

Given, HJ = 2, GH = 6

cos∠GJH = 2/6

     ∠GJH = \(cos^{-1}\frac{2}{6}\)

                ≈ 70.529

The approximate measure of angle JGH is 70.5°.

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This comparison can provide insights into potential disparities in college choices based on the type of high school attended.

The students from public high schools and private high schools are the two independent samples in this study. The goal of the study is to compare how likely these two groups are to attend public colleges.

The principal test comprises of 100 understudies haphazardly chose from public secondary schools. Out of this example, 60 understudies were intending to go to a public school. The second sample consists of 50 students who planned to attend a public college out of a total of 100 students who were selected at random from private high schools.

By contrasting the extents of understudies arranging with go to public universities in each example, the review tries to decide whether there is a tremendous distinction in the probability of going to public universities between understudies from public secondary schools and those from private secondary schools. Based on the type of high school attended, this comparison may provide insight into potential disparities in college choices.

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In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Answer:

D

Step-by-step explanation: