Which one is bigger 4 1/2 plus 1 4/9 or 5 plus 10/18

Answer:

x<

−97

45

Answer:

b<

−38

5

n>

−22

3

p>

16

3

n>7

The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

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Answer:i dont care hahahhahahahahhahah

Step-by-step explanation:

A sample size of approximately 1218 is needed to be 95% confident that the half-length is no more than 2.5 tons.

To determine the sample size needed to be 95% confident that the half-length is no more than 2.5 tons for a sample with an average of 865 tons and an estimated standard deviation of 78, follow these steps:

1. Identify the desired level of confidence, which is 95%. The corresponding z-score for a 95% confidence interval is 1.96 (found in a standard normal distribution table or using a calculator).

2. Determine the maximum allowable half-length (margin of error), which is 2.5 tons in this case.

3. Use the formula for calculating sample size:

n = (Z * σ / E)^2

where n is the sample size, Z is the z-score (1.96 for a 95% confidence level), σ is the standard deviation (78), and E is the margin of error (2.5).

4. Plug in the values into the formula:

n = (1.96 * 78 / 2.5)^2

5. Calculate the result:

n ≈ 1217.81

Since you can't have a fraction of a sample, round up to the nearest whole number. Therefore, you need a sample size of approximately 1218 to be 95% confident that the half-length is no more than 2.5 tons.

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Answer:

15:11

Step-by-step explanation:

well, girls to boys would be 15 to 11 because there are 15 girls and 11 boys. it cant be simplified further, so its 15:11

edit: I've noticed that it sounds like I'm saying girls is first because there are more, but it's because the question asks for girls to boys, not because there are more girls

Answer:

11:15

Step-by-step explanation:

Finding a ratio is very simple, all you have to do is take the first number, put a :, and then put the second number.

The : can also be replaced with a . or / so the answer to this question might also be seen as:

11/15

11.15

Answer:

grumpy is 20 happy is 80

Step-by-step explanation:

Answer:

There is a total 50 questions.

Step-by-step explanation:

Let x = total questions in the exam

Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.

With this information we can write:

\(18\%x=9\) (Given that the student made 9 mistakes)

\(x=9\div18\%\) (divide 18% on both sides)

\(x=50\)

∴ There was a total of 50 questions in the examination.

Assuming the conditions for inference were met, we do not have sufficient evidence to conclude that the proportion of car owners who own American-made cars is different from a hypothesized value.

To determine whether there is sufficient evidence to conclude that the proportion of car owners in the United States who own American-made cars is different from a hypothesized value, we need to conduct a hypothesis test.

The null hypothesis is that the true proportion of car owners who own American-made cars is equal to the hypothesized value, denoted by p0. The alternative hypothesis is that the true proportion is not equal to p0. Mathematically, this can be written as:

H0: p = p0

Ha: p ≠ p0

where p is the population proportion of car owners who own American-made cars.

In this case, the sample proportion is 0.56, and assuming the conditions for inference were met, we can use the normal distribution to conduct the test. The test statistic is given by:

z = (p - p0) / √(p0(1-p0)/n)

where n is the sample size.

The p-value of the test is 0.283, which is greater than the significance level a (which is not given in the question).

This means that we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the proportion of car owners who own American-made cars is different from the hypothesized value at the given significance level.

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Complete question is:

A representative of a car manufacturer in the United States made the following claim in a news report. "Ten years ago, only 53 percent of Americans owned American-made cars, but that figure is significantly higher today." A research group conducted a study to investigate whether the claim was true. The group found that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars. A test of the appropriate hypotheses resulted in a p-value of 0.283. Assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago?

The scale of the drawing is 1 inch represents 30 feet. This can be found by setting up a proportion:

18 inches (length of stage in drawing) / x (length of stage in real life) = 2 inches (length in drawing) / 45 feet (length in real life)

Simplifying this proportion gives:

x = 18 × 45 / 2 = 405

Therefore, the length of the stage in real life is 405 feet. To find the scale, we can set up another proportion:

1 inch (length in drawing) / x (length in real life) = 2 inches (length in drawing) / 60 feet (length in real life)

Simplifying this proportion gives:

x = 1 × 60 / 2 = 30

Therefore, the scale of the drawing is 1 inch represents 30 feet.

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The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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The price for the monthly fee will be;

⇒ x = $9.99  

And, The price per movie rental will be;

⇒ y = $2.99

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Yolanda is charged $21.95 for her monthly fee and 4 movie rentals.

And, Jeffrey is charged $30.92 for the same monthly fee and 7 movie rentals.

Now,

Let the price for the monthly fee = x

And, The price for the movie rental = y

Hence, We can formulate the expression for Yolanda;

⇒ x + 4y = $21.95

And,  We can formulate the expression for Jeffrey;

⇒ x + 7y = $30.92

Subtract equation (ii) from (i), we get;

⇒ 7y - 4y = $30.92 - $21.95

⇒ 3y = $8.97

⇒ y = $2.99

And, x + 4y = $21.95

x + 4 × 2.99 = 21.95

x + $11.96 = $21.95

x = $21.95 - $11.96

x = $9.99

Thus, The price for the monthly fee = $9.99  

And, The price per movie rental = $2.99

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Answer:

\(F'G' = 7\)

Step-by-step explanation:

Given

\(F = (-2,4)\)

\(G = (-2,-3)\)

Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

\(F'G' = FG\)

Calculating FG, we have:

\(FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

Where:

\(F = (-2,4)\) --- \((x_1,y_1)\)

\(G = (-2,-3)\) --- \((x_2,y_2)\)

\(FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}\)

\(FG = \sqrt{(0)^2 + (7)^2}\)

\(FG = \sqrt{0 + 49}\)

\(FG = \sqrt{49}\)

Take positive square root

\(FG = 7\)

Recall that:

\(F'G' = FG\)

\(F'G' = 7\)

Answer:

Answer:12 people

Step-by-step explanation:

6 and 1/2 so you so can add 1/2 until it makes 6

Using the master theorem, the Θ-class are: a) T(n) = Θ(n)b) T(n) = Θ(n) and c) T(n) = Θ(√n log n).

a) T(n)=2T(n/2)+n³

To find the Θ class of T(n), we need to apply the Master Theorem. In the Master Theorem, if T(n) = aT(n/b) + f(n) where a >= 1, b > 1, and f(n) is an asymptotically positive function, then:

T(n) = Θ(nᵈ)

where d = logₐ(b).

Here a = 2, b = 2 and f(n) = n³.

So, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

b) T(n)=2T(n/2)+3n−2

Similarly to part (a), we can find the Θ class of T(n) by using the Master Theorem.

In this case, a = 2, b = 2 and f(n) = 3n - 2.

Here, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

c) T(n)=4T(n/2)+nlogn

For this recurrence relation, a = 4, b = 2 and f(n) = nlogn.

In this case, d = log₄(2) = 0.5.

So,

T(n) is

= Θ(nᵈ)

= Θ(n⁰.⁵)

= Θ(√n log n)

Therefore, the Θ class of T(n) is Θ(√n log n).

Hence, the correct options are:a) T(n) = Θ(n)b) T(n) = Θ(n)c) T(n) = Θ(√n log n).

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Answer:

t= 38°; s=104°

Step-by-step explanation:

ΔHJI is isosceles

Therefore, m∠H ≅ m∠I

m∠I=38°

m∠t (m∠H)=38°

Using the Δ Angle Sum Theorem (all 3 angles of a triangle add up to 180°),

Add m∠H and m∠ I to get 76,

Subtract 76 from 180°

Get 104° as the m∠s

Hope this helps

Answer:

\(\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}\)

Explanation:

If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:

\(\displaystyle \boxed{\frac{\pi}{2}} = \frac{6}{12}\pi\)

If you did not notise, \(\displaystyle \frac{7}{12}\pi\)is just \(\displaystyle \frac{\pi}{12}\)more than \(\displaystyle \frac{\pi}{2},\)which means the exact value could possibly have a 4 in its denominatour [which obviously also has a desimal value] or could be irrational [values that cannot be written as fractions]. In this case, according to the unit circle, you will have a fraction, and that will be this:

\(\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}\)

It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.

*Now, if you had to find \(\displaystyle cos\:\frac{7}{12}\pi,\)then the exact value would be the OPPOCITE of the exact value of \(\displaystyle sin\:\frac{7}{12}\pi,\)which is \(\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},\)because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs.

I am joyous to assist you at any time.

The intervals on which the function f(x) = ax² + bx + c (where "a" doesn't = 0) is increasing and decreasing is x>-b/2a and x<-b/2a

Given that,

We have to find the intervals on which the function f(x) = ax² + bx + c (where "a" doesn't = 0) is increasing and decreasing.

We know that,

Take the function equation,

f(x)=ax² + bx + c

The derivative of the function of x is  

f'(x)=ax+b

So, f(x) is increasing when f'(x) > 0

f(x) is decreasing when f'(x) < 0

Then we can say

f'(x) > 0 , when  b > 0  and a < 0

2ax + b < 0

2ax < - b

x<-b/2a

Now,

f'(x) < 0 , when  b < 0  and a > 0

2ax + b > 0

2ax > - b

x>-b/2a

Therefore, the intervals on which the function f(x) = ax² + bx + c (where "a" doesn't = 0) is increasing and decreasing is x>-b/2a and x<-b/2a.

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Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW

Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

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That angles in standard position are always measured from the positive x-axis in a counterclockwise direction for positive angles, and in a clockwise direction for negative angles.

To sketch the angle -75° in standard position, follow these steps:

1. Start by drawing the initial arm, which is the positive x-axis. This arm should be horizontal, extending to the right.

2. Since the angle is negative, we need to rotate clockwise. To do this, measure 75° clockwise from the initial arm and draw the terminal arm.

3. The terminal arm should be in the fourth quadrant, as it is rotating clockwise. It will extend downwards to form an angle of 75° with the positive x-axis.

4. Label the angle as -75°.

Remember that angles in standard position are always measured from the positive x-axis in a counterclockwise direction for positive angles, and in a clockwise direction for negative angles.

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Answer:

Step-by-step explanation:

Simply divide the numbers, the result is the quotient

The quotient of the given expression when 1,224 divided by 9 is 136.

The quotient is defined as the number obtained on dividing a number with some number.

The number left after the division is called as the remainder.

Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.

The quotient of the following expression can be calculated as:

When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.

So, it can be said that 136 is the quotient when 1,224 divided by 9.

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The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.

To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).

In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.

Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.

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The total cost of the framing measuring 8 1/4 inches by 10 1/4 is  $16.65

The total perimeter of the framing is solved by the formula

= perimeter of the frame * price of each framing

perimeter  of the framing is equal to perimeter of rectangle

= 2 * (length + width)

= 2 * (10 1/4 + 8 1/4)

= 37 inch

The cost of the framing

Since the unit cost of the framing is $0.45 per inch then the total cost is

= 0.45 * 37

= $16.65

The framing will cost  $16.65

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Answer:

x= 77

Step-by-step explanation:

The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.

180-122= 58 degrees

Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.

Let's use this info to find the degree at the top.

58+58= 116

There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.

180-116= 64 degrees

And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.

90-64= 26 degrees

And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.

180-26= 154 degrees.

And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.

154/2= 77 degrees.

Your answer is 77 degrees.

Answer:

variable

Step-by-step explanation: