The diagram below is a 2-dimensional pattern that can be folded into a 3-dimensional solid.

Probabilities are used to determine the chances of an event.

The probability of obtaining a z value of less than 1.68 is 0.95352

The probability is represented as:

\(\mathbf{P(z < 1.68)}\)

To do this, we make use of the z-score of probabilities table and/or calculator.

Using the calculator, we enter 1.68 as the z-score.

The result is:

\(\mathbf{P(z < 1.68) = 0.95352}\)

This means that:

The probability of obtaining a z value of less than 1.68 is 0.95352

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Answer: Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism, while multicellular organisms use many different cells to function

Step-by-step explanation:

1 out of 10, or \(\frac{1}{10}\). It is unlikely to occur.

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

The value of 5 is hundredth

Answer:

ten thousand you should count from the frist

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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Answer:15

Step-by-step explanation:

i did the math

Answer:

15

Step-by-step explanation:

15 x 2=30

15x3=45

Answer:

is there a chart to this question?

because I can't tell the answer just by looking at it

Step-by-step explanation:

it's a b c d and f are all the correct answers

Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

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Answer:

Equation of the line is: \(x=6\)

Step-by-step explanation:

We know that , the equation of any line parallel to y axis is :

\(x=k\)    where \(k\) ia a constant

And here it is given that the line is passing through the point P(6,-3)

Therefore, it will satisfy the equation \(x=k\).

So, substitute \((6,-3)\) in equation \(x=k\), we get

\(k=6\)

Hence the equation of line will be \(x=6\)

Part 1

Angles of a quadrilateral add to 360 degrees.

\(7x+65+85+105=360\\\\7x+255=360\\\\7x=105\\\\x=15\)

Part 2

If \(x=15\), then \(7x=105^{\circ}\). Thus, the angles measuring \(7x\) and \(105^{\circ}\) are opposite angles since opposite angles of a kite are congruent.

This means the remaining angles, which are the angles measuring \(65^{\circ}\) and \(85^{\circ}\), are also opposite using the process of elimination.

Given that the height of a object thrown within a gravitational field is given as a quadratic equation in time, t, the time at which the object is at a specified height can be found by the quadratic formula

The values of, t, for which the height of the rocket is 82 feet are;

t = 12.21 seconds or t = 0.42 seconds

Question: Parts of the question that appear missing but can be found online are (i) To find the values of the time, t, when the rocket's height is 82 feet and round answers to the nearest hundredth

The known parameters of the rocket are;

The initial upward velocity of the rocket, v = 202 ft./s

The given function representing the height, h, (in feet) after t seconds is presented as follows;

H = 202·t - 16·t²

The unknown;

The time for which the height of the rocket is 82 feet

Method;

Substitute H = 82 feet in the height function equation and solve for t as follows;

When H = 82, we get;

82 = 202·t - 16·t²

Therefore;

16·t² - 202·t + 82 = 0

Dividing the above equation by 2 gives;

(16·t² - 202·t + 82)/2 = 0/2

8·t² - 101·t + 41 = 0

By using the quadratic formula, we get;

\(\mathbf{t = \dfrac{101 \pm \sqrt{(-101)^2 - 4 \times 8 \times 41} }{2 \times 8} = \dfrac{101 \pm \sqrt{8889} }{16}}\)

Therefore, the values of t given by rounding off to the nearest hundredth are;

t = 12.21 or t = 0.42

The values of the time, t, at which the height of the rocket is 82 feet are t = 12.21 seconds or t = 0.42 seconds

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Answer:

5.

Step-by-step explanation:

1. the formula of the required distance:

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

2. according to the formula above:

\(d=\sqrt{3^2+4^2}=5.\)

an = a + (n - 1)d

= 8 + 2(n - 1)

HOPE IT HELPS ..

The general solution is a set of infinitely many solutions that satisfy the system. The augmented column of the RREF contains the coefficients of the variables that can be arbitrary, allowing for an infinite number of solutions.

The general solution provides a relationship between the variables that satisfies the system, but it does not give specific values for the variables. To find specific values, additional information, such as boundary conditions or initial conditions, is required

.i) This system of linear equations is inconsistent because the third equation, -3x1 + 7x2 = 37, contradicts the first equation, 4x1 - 7x2 = -33. This means that there is no solution that satisfies all three equations simultaneously.

(ii) (1) The conditions for the augmented column of the RREF to be the solution to the system is that the system must be consistent and the number of variables must equal the number of non-trivial (non-zero) rows in the RREF.

(2) In the case of a unique solution to a system with more equations than variables, the solution should be obtained by solving the system using a method such as Gaussian elimination or Gauss-Jordan elimination to reduce the system to its RREF. The values of the variables are then read off from the non-trivial rows of the RREF.

(3) In the case of a consistent system where there are more variables than equations, the information contained in the augmented column of the RREF is the general solution to the system

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One possible representation of such a vector is u = (3, 2), which has a magnitude of approximately 3.605 and makes an angle of about 33.69 degrees with the positive x-axis in the standard Cartesian coordinate system.

Firstly, it is important to understand the meaning of the double vertical bars (|| ||), which denote the magnitude or length of a vector. For instance, if we have a vector

=> v = (2, 3),

then its magnitude can be computed as

=>  ||v|| = √(2² + 3²) = √13.

Similarly, if we have a vector u = (u₁, u₂), then its magnitude can be expressed as

=>  ||u|| = √(u₁² + u₂²).

The given condition

=> ||-4u|| ≈ 14.42

can be rewritten as

=>  4||u|| ≈ 14.42

=>  ||u|| ≈ 3.605.

This means that the magnitude of vector u is approximately equal to 3.605.

Therefore, to obtain a possible representation of vector u with a magnitude of approximately 3.605, we can solve the following system of equations:

||u|| = √(u₁² + u₂²) ≈ 3.605

θ = tan⁻¹(u₂/u₁)

Note that there are infinitely many solutions to this system, since the direction of u is not uniquely determined.

However, one possible solution is u = (3, 2), which has a magnitude of

=> ||u|| = √(3² + 2²) = √13 ≈ 3.605

and makes an angle of

=> θ = tan⁻¹(2/3) ≈ 33.69 degrees

with the positive x-axis.

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The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

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Answer: Is reinforced with other material

Step-by-step explanation:

The options are:

A is expensive to build.

B usually cracks under heavy weights.

C looks like any other road.

D is reinforced with other material.

The passage best supports the statement that a concrete road are reinforced with other material. According to the information given in the passage, steel plays a vital role in keeping the road surface flat.

Steel bars are embedded in concrete so that the stresses cannot crack the slab. Therefore, it indicates that concrete road is reinforced with other material.

So, on solving the question we can say that - the equation is  y=7.25x; y = 2356.25

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

y=7.25x

x = 325

y = 2356.25

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Answer: x^2 +6x +2x +36 = X^2 +8x + 36

Step-by-step explanation:

Answer:

x² + 8x + 12

Step-by-step explanation:

(x × x) + (x × 6) + (x × 2) + (6 × 2)

x² + 8x + 12

good luck, i hope this helps :)

Answer:

The volume of a cube is given by the formula V = s^3, where s is the length of a side of the cube. In this case, the length of a side is 11.4 centimeters with a possible error of + - 0.04 centimeters.

To find the possible error in the value of the volume of the cube, we can use the formula for the maximum error in a product:

max error in V = |V| * (max error in s / s)

where |V| is the absolute value of the volume, and max error in s is the maximum possible error in the measurement of the side.

Substituting the given values, we get:

max error in V = |11.4^3| * (0.04 / 11.4)

max error in V = 538.516 * 0.00351

max error in V = 1.89 cubic centimeters (rounded to two decimal places)

Therefore, the estimate for the possible error in the value of the volume of the cube is 1.89 cubic centimeters

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.

A thousand is a number that denotes the sum of 1,000 units or ten hundreds.

The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."

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To calculate the molarity of Pb(NO3)2(aq), you need to know the molar mass of the compound. The molar mass of Pb(NO3)2 is 331.21 g/mol.

Using the equation, concentration = moles/liters, we can calculate the molarity of the Pb(NO3)2(aq) solution.

First, we need to calculate the moles of Pb(NO3)2. We can do this by converting the mass of the precipitate (19.40 g) to moles. Moles = mass (g) / molar mass (g/mol).

Therefore, moles of PbCl2 = 19.40 g / 331.21 g/mol = 0.05833 moles.

Next, we can calculate the molarity of Pb(NO3)2. Molarity = moles/liters.

Therefore, the molarity of Pb(NO3)2 = 0.05833 moles/ 0.2 liters = 0.29165 M.

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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Answer:

800/3200= .25 or 25%

you must divide the rent by the monthly income.

Answer:

790

Step-by-step explanation:

7098uuilu4645

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...