Which of the following is NOT a unit fraction? 1/9 1/25 7/16 1/100

The remaining sides are 11/2 and 11√3/4.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

In a 30-60-90 triangle,

The length of the side opposite the 30-degree angle = 1/2 x the length of the hypotenuse.

The length of the side opposite the 60-degree angle = √3/2 x the length of the hypotenuse.

The length of the hypotenuse = 2 x the length of the side opposite the 30-degree angle.

Now,

The length of the hypotenuse = 2x.

So,

2x = 11

x = 11/2

Now,

The lengths of the other two sides are:

= √3/2 x 11/2

= 11√3/4

And,

= 11/2

Thus,

The remaining sides are 11/2 and 11√3/4.

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Using the slope concept, it is found that Plane A was farther away.

What is a slope?

For Plane A:

Hence:

\(\tan{42^{\circ}} = \frac{7}{x_A}\)

\(x_A = \frac{7}{\tan{42^{\circ}}}\)

\(x_A = 7.77\)

For Plane B, we have that:

Hence:

\(\tan{44^{\circ}} = \frac{7}{x_B}\)

\(x_B = \frac{7}{\tan{44^{\circ}}}\)

\(x_B = 7.25\)

7.77 > 7.25, hence Plane A was farther away.

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Answer:

Step-by-step explanation:

    1/4                     ( x+10)                   =                x -4

one fourth the sum of x and 10 is identical to x minus 4

Answer: 146

Step-by-step explanation:

Answer:

-3(2+7) = -27

Step-by-step explanation:

Step 1: Solve Original Equation = -27

Step 2: Solve the Rest. A) 6 + 21= 21

                                      B)  -21 + 6= -15

Step 3: None of these answers equal the original answer (-27). Therefore making it C) None of the above.

If Jenny worked the same shifts as Susan and had the same income of $7,000 last year, then she do not need to file a tax return because  her total income is below the filing threshold.

Whether Jenny needs to file a tax return or not depends on her total income and the types of income she received.

If Jenny had the same income of $7,000 last year as Susan and is single with no dependents,

She will not be required to file a federal tax return for the 2022 tax year as long as her total income is below the filing threshold because for tax year 2022, the filing threshold for single taxpayers under the age of 65 is $12,950.

Therefore , Jenny do not need to file a tax return .

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The competitive price of good x and the corresponding allocation of labor (l) is \((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2.

To find the competitive prices and allocation in this economy, we need to determine the equilibrium conditions. In a competitive market, prices are determined such that supply equals demand. In this case, the supply of good x is determined by the cost function of the firm, while the demand for good x is determined by the utility function of the representative agent.

Let's find the agent's demand for good x. The agent maximizes their utility subject to their budget constraint, which is given by the endowment of labor (l) and the prices of x and l. The agent's optimization problem can be solved using Lagrange multipliers, which yields the following demand function:

x = \((2/3)^{(3/2)}\) x \(l^{(1/2)}\)

We can find the supply of good x by minimizing the cost function of the firm. The cost minimization problem can be solved by equating the marginal product of labor to the wage rate (the price of labor). In this case, the marginal product of labor is equal to 2q, and the wage rate is 1. Solving for the quantity of x produced (q) gives us:

q = 1/2

We can determine the competitive prices. Since the demand for good x is given by the agent's utility function, we can equate the demand and supply functions to find the equilibrium prices:

\((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2

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The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

According to the statement

We have to find that the ice creams that neither are fat-free nor contain nuts.

So, For this purpose, we know that the

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

From the given information:

There are 35 flavors of ice cream at an ice cream parlor, 25 flavors contained ice creams.

Contain nuts = 25

Are fat free = 12

Are both = 8

Then

Contain nuts or are fat free = 25+12-8 = 29

Total = 35

Neither contain nuts nor are fat free = 35-29 = 6.

So, The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

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Answer:

1

Step-by-step explanation:

A system of equation is a set of a number of equation used for finding their solution. The solution of the given system of equations is (2,-22). The correct answer is option 1.

A system of linear equation can be defined as a number of equations needed to find the solution. On the basis of the number of solutions a set of equations can be called either consistent or inconsistent.

The given equations are

y = -6x -10 and y = -1/2x -21

They can be rewritten as,

y + 6x = -10 ------------------- (1)

2y + x = -42 ------------------- (2)

To get the value of x ,

(2y + x) - 2(y + 6x) = -42 - 2×(-10)

=> -11x = -22

=> x = 2

Substitute x = 8 in equation (1) to get y,

y = -10 - 12

y = -22

Hence, the solution for the given system of equation is (2,-22).

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The hippocampal volumes in the alcoholic adolescents are significantly less than the normal volume at the alpha = 0.01 level of significance.

The appropriate test to conduct is a one-tailed t-test since the researchers are interested in whether the hippocampal volumes in alcoholic adolescents are less than the normal volume of 9.02 cm3.

Null hypothesis: H0: μ ≥ 9.02 (the hippocampal volumes in the alcoholic adolescents are greater than or equal to the normal volume)

Alternative hypothesis: Ha: μ < 9.02 (the hippocampal volumes in the alcoholic adolescents are less than the normal volume)

The level of significance, α = 0.01, and the degrees of freedom for the t-test are df = n - 1 = 16.

Using a t-table or a t-distribution calculator, the critical t-value for a one-tailed test with α = 0.01 and df = 16 is -2.602.

The test statistic is calculated as:

t = (x - μ) / (s / √(n)) = (8.16 - 9.02) / (0.7 / √(17)) = -2.79

Since the test statistic (-2.79) is less than the critical t-value (-2.602), we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.

Therefore, the hippocampal volumes in the alcoholic adolescents are significantly less than the normal volume at the alpha = 0.01 level of significance.

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Answer:7/2

(0,8)

Step-by-step explanation:

Subtract 7x from both sides

-2y=-7x-16

Divide both sides by -2

y=7/2x+8

Slope 7/2

Answer:

If the correction of 6 * 6X is accurate then I hope this is the answer.

Step-by-step explanation:

6(6x)+3x=3+3x+5

1. First multiply 6 by 6

36x+3x=3+3x+5

2. Then add 36X and 3X

39x=3+3x+5

3. After that add 3 and 5

39x=3x+8

4. Subtract 3x from both sides of the equation.

39x−3x=8

5. Subtract 3x from 39x

36x=8

6. Divide

36X. 8

______. = ______

36. 36

7. 36X and 36 cancel out because they

are common factors

8. The common factor between 8 and 36 is 4.

S you are left with. 2

X= _____

9

_

9. If you would like the decimal, than it is, X = 0.2

Answer:

hope it helps...

Answer:

-2

Step-by-step explanation:

-6 ( x - 8) = 60

• divide -6 on both sides

-6 and -6 cancel out and 60 ÷ -6 = -10

• your new equation is now x - 8 = -10

• add 8 to both sides x - 8 = -10

+8. +8

• x = -2

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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Therefore, the probability that the sample mean cholesterol level is less than 190 is approximately 0.23%.

We can use the central limit theorem to approximate the distribution of the sample mean cholesterol level as normal with a mean of 202 and a standard deviation of 41/sqrt(100) = 4.1.

To find the probability that the sample mean cholesterol level is less than 190, we can standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values, we get:

z = (190 - 202) / (4.1) = -2.93

Now we can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is less than -2.93. The probability is approximately 0.0023 or 0.23%.

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Answer:

1/6

Step-by-step explanation:

There are six sides on a die and only one of them has a 4

P( 4) = number of sides with a 4/ total number of sides

        = 1/6

Answer:

P (4) = 1/6

Step-by-step explanation:

The probability can be found by creating a fraction. The numerator is the number of favorable outcomes and the denominator is the total number of outcomes.

P (4) = sides with a 4 / total sides

The standard dice has 6 sides numbered 1 through 6.

P (4) = sides with a 4/ 6

Only one side on the cube has a 4.

P (4) = 1/6

This fraction cannot be simplified further, so it is our final answer.

The probability of rolling a 4 on a standard dice is 1/6

given angle pair forms co - exterior angle pair. and are supplementary.

x + 8 + 3x + 2 = 180

4x + 10 = 180

4x = 170

x = 42.5°

This is the formula for this equations c = h + k + p

An algebraic expression is a combination of numbers, variables, and mathematical operations. It can be a single term, such as "x" or "5", or it can be a combination of multiple terms, such as "3x + 2y - 7". The numbers in an algebraic expression are called constants and the variables are placeholders for numbers that can change. The mathematical operations in an algebraic expression can include addition, subtraction, multiplication, division, and exponentiation.

Algebraic expressions can be simplified or evaluated by substituting specific values for the variables and performing the mathematical operations. Algebraic expressions are also used to represent word problems, equations and also used in other branches of mathematics such as calculus, geometry and more.

This formula states that the total cost (c) is equal to the cost of renting a helmet (h), the cost of renting knee pads (k), and the cost of the day pass (p) added together.

So in this case, if you know the cost of renting a helmet (h), the cost of renting knee pads (k), and the cost of the day pass (p), you can plug those values into the formula and find the total cost of going to the indoor skateboard park (c).

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Answer:

4 :)

Step-by-step explanation:

All options are true except option iii)

Given function is f(x) which is defined for all real numbers.

What is a critical point? A critical point of a function is a point where the derivative of the function equals zero or fails to exist. For a given function f(x), select the true statements:

i) If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers c and d in (a,b).

ii) If f(x) has a critical point at x=c, then f'(c)=0.

iii) If f(x) has a local minimum value at x=c, then f'(c)=0.

iv) If f'(c)=0, then f(x) has a local maximum or minimum at x=c.

v) If f'(c) is undefined, then x=c is a critical point of f(x). From the above all options, all options are true except option iii). Option iii is incorrect because if f(x) has a local minimum or maximum value, then f'(c)=0 is not necessary. The necessary condition is f'(c)=0 but the converse is not true.

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Chase and Simon (1973) conducted a study on the memory of chess novices and experts for positions of chess pieces on a chessboard. They found that although experts generally have a better memory for chess positions than novices, novices performed equally or even better than experts when asked to recall random arrangements of chess pieces on the chessboard, even if the arrangements couldn't occur in a real game of chess.

One possible explanation for this phenomenon is that experts rely heavily on their knowledge of typical chess positions and patterns to remember the positions of the pieces. However, when the pieces are arranged randomly, these patterns are disrupted, and experts may struggle to apply their existing knowledge effectively. On the other hand, novices may not have developed strong patterns or strategies yet, so they approach the task with a more flexible mindset and are less affected by the random arrangement. They may use more general memory strategies, such as chunking or grouping the pieces together, which can be useful for recalling random arrangements.
In summary, novices may perform as well as experts when the pieces are arranged randomly because they rely less on established patterns and can use more general memory strategies to recall the positions.

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Answer:

y = \(\frac{2}{5}\) x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{2}{5}\) and line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = \(\frac{2}{5}\) x - 3 ← equation of line

The height, x, in feet of the building is 46.86 feet.

It is a question of heights and distances.

It is given in the question that:-

Distance of Ricardo from the base of the building = 75 feet

Angle of elevation from the ground to the top of the building = 32 degrees

We have to find the height, h , in feet of the building.

We know that,

Base = 75 feet

Height = Perpendicular = x

and,

Perpendicular/Base = tanα

Where, α is the angle of elevation

Hence, we can write,

x/75 = tan(32°) ≈ 0.625

x  ≈ 0.625*75  ≈ 46.86 feet

Hence, the height of the building is approximately 46.86 feet.

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Answer:

4

Step-by-step explanation:

\(\sqrt{x} 368640 = 1920\)

The number of digits in 1920 is 4

The number of digits in the square root of 3686400 is 4.

In mathematics, the square root is a component that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.

The square root of 3686400 is,

√3686400 = ±1920

The number of digits in 1920 is 4.

Only four digits make up 4-digit integers; the first digit must be one or higher, and the other three can be any number between 0 and 9. Examples of four-digit numbers include 5693, 1023, and 9825.

Thus, the number of digits in the square root of 3686400 is 4.

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An equivalent expression with the rational denominator is,\((-8x+5)^ {\frac{-1}{2}}\).Option A is correct from the drop-down menu.

Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.

This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.

A fraction is consist of the form p/q

Where,

P is the numerator and q is denominator

An equivalent expression with the rational denominator is,\((-8x+5)^ {\frac{-1}{2}}\).

Hence option A is correct.

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Answer:

Step-by-step explanation:

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.