Which best defines the term empirical evidence?
evidence based on facts and figures
evidence based on emotions
evidence based on another person’s testimony
evidence based on experience and observation

Answer:

x=-9

Step-by-step explanation:

2(14+x)=x+19

28+2x=x+19

x=-9

Final Answer: \(s = -\frac{3}{2}\)

Steps/Reasons/Explanation:

Question: Equations with variables on both sides: decimals and fractions, algebra 2. \(0.5s + 1 = 7 + 4.5s\).

Step 1: Subtract \(0.5\) from both sides.

\(1 = 7 + 4.5s - 0.5s\)

Step 2: Simplify \(7 + 4.5s - 0.5s\) to \(7 + 4s\).

\(1 = 7 + 4s\)

Step 3: Subtract \(7\) from both sides.

\(1 - 7 = 4s\)

Step 4: Simplify \(1 - 7\) to \(-6\).

\(-6 = 4s\)

Step 5: Divide both sides by \(4\).

\(-\frac{6}{4} = s\)

Step 6: Simplify \(\frac{6}{4}\) to \(\frac{3}{2}\).

\(-\frac{3}{2} = s\)

Step 7: Switch sides.

\(s = -\frac{3}{2}\)

~I hope I helped you :)~

Answer:

that would be everything greater than -6 so -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20...1000000...+∞

Step-by-step explanation:

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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The pool dimensions are approximately 12.22 by 21.22 feet.

To start, we know that the pool must be a 77 sq ft rectangle, so we can use the formula for the area of a rectangle (length x width = area) to solve for the dimensions.

77 = length x width

Next, we know that the fenced off plot is a 17 by 26 feet rectangle. We can use this information to set up an equation for the distance between the pool and the fence:

17 - 2x = length
26 - 2x = width

We also know that the fence should be twice as far away on the end where the lifeguard chair will be located, so we can set up another equation:

17 - 4x = length (on the side with the lifeguard chair)

Now we can substitute the expressions for length and width into the formula for the area of a rectangle:

77 = (17 - 2x)(26 - 2x)

Expanding the expression on the right side, we get:

77 = 442 - 86x + 4x^2

Rearranging and simplifying, we get a quadratic equation:

4x^2 - 86x + 365 = 0

Using the quadratic formula, we can solve for x:

x = (86 +/- sqrt(86^2 - 4(4)(365))) / (2(4))

x = (86 +/- sqrt(55284)) / 8

x = (86 +/- 234.85) / 8

x = 36.86 or 2.39

We can ignore the negative value, so x = 2.39 feet.

Now we can use the equations for length and width to solve for the dimensions of the pool:

length = 17 - 2x = 17 - 2(2.39) = 12.22 feet
width = 26 - 2x (except on the side with the lifeguard chair, where it is 4x) = 26 - 2(2.39) = 21.22 feet

So the pool dimensions are approximately 12.22 by 21.22 feet.

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Step-by-step explanation:

The square root of a negative number is not a real number. It is an imaginary number represented by "i". Therefore, square root of negative 36 can be simplified as 6i.

PLS mark my answer brainliest

The compound interest formula is:

Where

P is principal

r is rate of interest

n is number of compounding

t is number of years

Putting the given information, we have:

Interest amount is:

15,439.60 - 13,500 = $1939.60 (in a year/12 months)

In 10 months:

Justin would owe $1616.33 after 10 months.

Answer:

D

Step-by-step explanation:

Answer:

30.6 minutes

Step-by-step explanation:

Using the normal distribution, it is found that the delivery time with a z-score of 1.2 is of 30.6 minutes.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by:

\(\mu = 27, \sigma = 3\).

The delivery time with a z-score of 1.2 is X when Z = 1.2, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.2 = \frac{X - 27}{3}\)

X - 27 = 3 x 1.2

X = 30.6.

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Given the number 101,323?

The correct options are:

Whole number because there is no decimal point.

Integer because there is no decimal point.

Rational because can be written as a/b

So, the answer is options A, B, and C.

The distance between them is at most the diagonal of the smaller square, which is √2/2 units. The two points selected are within √2/2 units of each other, as required.

To show that at least two of the five points on a unit square are within √2/2 units of each other, we can use the pigeonhole principle.

Divide the square into four smaller squares, each with a side length of 1/2 unit. By the pigeonhole principle, at least two of the five points must lie in the same smaller square.

Consider the two points that lie in the same smaller square.

The distance between them is at most the diagonal of the smaller square, which is √2/2 units.

Therefore, these two points are within √2/2 units of each other, as required.

This argument holds for any five points in a unit square, since we can always divide the square into four smaller squares of side length 1/2 unit.

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Answer:

The triangles are similar.

Step-by-step explanation:

They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.

The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are shown in figure.

Here, All the corresponding angles are same in both triangles.

And, The ratio of their corresponding sides are,

In triangle TUV;

⇒ 90 / 108 = 30 / 36

In triangle QRS;

⇒ 30 / 36

Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

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Answer:

q = 14

Step-by-step explanation:

3 (q - 16) + -8 = -14

3q - 48 + -8 = -14

3q - 56 = -14

    +56     +56

3q = 42

/3.      /3

q = 14

hope this helps :)

Answer:

2.65secs

Step-by-step explanation:

Give:

The function h(t)=−16t(t−7) models

the object will hit the ground at h= 0

h(t)=−16t(t−7)

0= -16t(t−7)

0= -16t^2 + 112

16t^2 = 112

t^2 = 7

t= √7

t=2.65secs

Hence, the object object hit the ground at 2.65secs

The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.

Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.

The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.

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Answer:

See below for explanation.

Step-by-step explanation:

Each (x, y) point on the unit circle is equal to (cos θ, sin θ).

To find cot θ, where θ is the angle corresponding to the point (x, y) on the unit circle, we can use the formula:

\(\boxed{\cot \theta=\dfrac{\cos \theta}{\sin \theta}=\dfrac{x}{y}}\)

\(\hrulefill\)

If cot θ = 0, then x must be zero. (If y was zero, the value would be undefined). Therefore, we need to find the points on the unit circle where the x-coordinate (cos θ) is zero.

The points on the unit circle where x = 0 are:

The corresponding angles (in radians) at these points are:

    \(\bullet \quad \dfrac{\pi}{2}\;\;\textsf{and}\;\;\dfrac{3\pi}{2}\)

Therefore, the cotangent has the value of zero at π/2 and 3π/2.

\(\hrulefill\)

If we divide a number by the same (but negative) number, we get -1.

Similarly, if we divide a negative number by the same (but positive) number, we get -1.

Therefore, if cot θ = -1, then the x-coordinate and y-coordinate of the points must be the same, but opposite signs.

The points on the unit circle where -x = y and x = -y are:

    \(\bullet \quad \left(-\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)\;\; \textsf{and}\;\;\left(\dfrac{\sqrt{2}}{2},-\dfrac{\sqrt{2}}{2}\right)\)

The corresponding angles (in radians) at these points are:

    \(\bullet \quad \dfrac{3\pi}{4}\;\;\textsf{and}\;\;\dfrac{7\pi}{4}\)

Therefore, the cotangent has the value of -1 at 3π/4 and 7π/4.

Answer:

more the letter x is often used in algebra to mean a value that is not yet known is is calld a variable or sometimes an unknown. in x+2=7,x is a variable but we can work out its value if we try

Answer:

10214.51

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

porque no lo entiendo lo siento lol

Answer:

15 x 150 = 2250

2250 + 1000 = 3250

you make $3250,00

The correct statement is that the pooled sample proportion, p, is equal to the proportion of successes in both samples combined and it estimates the common value of p1 and p2 under the assumption that the null hypothesis is true. Option d

In a two-sample z-test, we compare two proportions from two different populations. The pooled sample proportion, p, is calculated by combining the number of successes from both samples and dividing it by the total number of observations. It represents the overall proportion of successes in the combined samples. This pooled sample proportion is used to estimate the common value of p1 and p2 under the assumption that the null hypothesis is true, and it serves as a parameter in the z-test calculation.

Therefore, the correct statement is that the pooled sample proportion, p, is equal to the proportion of successes in both samples combined, and it also estimates the common value of p1 and p2 under the null hypothesis.

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1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.

b) The values of m can be -2, -1, 0, +1, and +2

c) There are a total of 9 orbitals

The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.

Using the formula, number of electrons = \(n^2\)

Number of electrons =\(3^2 = 9\)

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Answer:

$5,599.80

Step-by-step explanation

you take 20 percent of 27,999. basically multiplying .20 x 27,999.

Answer:

Shortest Leg: 5 inches, Hypotenuse: 13 inches

Step-by-step explanation:

A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.

Answer:

Rational

Step-by-step explanation:

Rational numbers are numbers that can be written as a ratio of integers.

-25 can be written as -25 / 1.  So it is rational.

m∠B = 10 and m∠Q = 10. Since ΔABC ≅ ΔPQR, the corresponding angles are congruent. Therefore, we can set up the following equation:

m∠B = m∠Q

Given that m∠B = 3v + 4 and m∠Q = 8v - 6, we can equate these expressions:

3v + 4 = 8v - 6

To solve for v, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side:

4 + 6 = 8v - 3v

10 = 5v

Dividing both sides by 5:

v = 2

Now that we have the value of v, we can substitute it back into the expressions for m∠B and m∠Q:

m∠B = 3(2) + 4 = 10

m∠Q = 8(2) - 6 = 10

Therefore, m∠B = 10 and m∠Q = 10.

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Using mathematical operations we know that Nile and Bob travelled for 7 hours.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).

So, we know that both Nile and Bob sailed same time and for the same length:

NIle: 42 miles at a speed of 6mph

Bob: 98 miles at the speed of 14mph

Time for which Nile and Bob were traveling are:

Nile: 42/6 = 7 hours

Bob: 98/14 = 7 hours

Therefore, using mathematical operations we know that Nile and Bob travelled for 7 hours.

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Answer:

The answer is 99,220!!

Step-by-step explanation:

Did you mean to type quotient?

Answer:

Continuous

A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.