What is the value of x?

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___units

Answer:

2

Step-by-step explanation:

i got 20/8 from multiplying same with 1/2

20/8 - 1/2 = 2

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.3 units/mL

This means that \(\mu = 3.3\)

Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.

This means that when \(X = 5.9\), Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find \(\sigma\)

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

\(2.054 = \frac{5.9 - 3.3}{\sigma}\)

\(2.054\sigma = 2.6\)

\(\sigma = \frac{2.6}{2.054}\)

\(\sigma = 1.2658\)

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

The length of AC is equal to the length of BC, which is equal to y times the square root of 2/3. Since we have the value of y is 6cm, the exact length of AC is 14.9cm.

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

First, we can draw a diagonal from A to D to create two congruent triangles: ACD and ABD. Since these triangles share side AD and diagonal AC is perpendicular to BD, we know that they are right triangles.

Let's call the length of AC "x". Then, using the Pythagorean Theorem in triangle ACD, we get:

x² = AD² - CD²

Similarly, using the Pythagorean Theorem in triangle ABD, we get:

BD² = AD² + AB²

Since DE = EB, we know that triangle EBD is an isosceles triangle, so we can use the Pythagorean Theorem in triangle EBD to get:

EB² = BD² / 4

Since DE = EB, we can substitute this expression for EB in terms of BD into the above equation to get:

DE² = BD² / 4

But we know that DE = EB, so we can substitute "EB" for "DE" to get:

EB² = BD² / 4

Combining this with the previous equation, we get:

BD² / 4 = EB² = (BD² + AB²) / 4

Simplifying, we get:

3BD² / 4 = AB² / 4

Multiplying both sides by 4/3, we get:

BD² = (4/3) AB²

Now we can substitute this expression for BD² into the equation we derived for x²:

x² = AD² - CD² = AD² - (BD² - AB²) = AD² - BD² + AB²

Substituting (4/3) AB² for BD², we get:

x² = AD² - (4/3) AB² + AB² = AD² - (1/3) AB²

To solve for x, we need to know the lengths of AD and AB. We don't have this information, but we do know that ABCD is a kite, so opposite sides are congruent.

This means that AD = BC and AB = CD. Let's call this length "y". Then:

x² = y² - (1/3) y² = (2/3) y²

Solving for x, we get:

x = √((2/3) y²) = y / √(3/2)

Since we don't know the length of y, we can't find the exact value of x. However, we can simplify the expression for x by rationalizing the denominator:

x = y / √(3/2) * √(2/3) / √(2/3) = y √(2/3)

x = 6√(2/3) = 4.89      ......(AD = BC, & AD = 6 cm)

x = 4.9 cm

AC = AE + EC

EC = cos45 * DC = 1/√2 * 7

EC = 4.9

AC = 10 + 4.9 = 14.9 cm

Therefore, the length of AC is equal to the length of BC, which is equal to y times the square root of 2/3. Since we have the value of y is 6cm, the exact length of AC is 14.9cm.

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Answer:

B.

Step-by-step explanation:

T = Trent

R = Ronnie

Mike = M

T = 2+R

M = 2R

T = 5

5-2=R

R=3

M=2(3)

Mike made 6 goals.

Answer: C, Mike made 6 goals.

Step-by-step explanation:

Trent scored 5 goals, which is 2 more than Ronnie.

This means Trent = 5

and Ronnie = 3.

Mike made 2x the goals as Ronnie.

3 x 2 = 6

the area of the trapezoid is 10√3 km² (approximately 17.3 km²).To find the area of a trapezoid, we use the formula A = (1/2) * (b₁ + b₂) * h

what is trapezoid ?

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The height (or altitude) of a trapezoid is the perpendicular distance between the two bases. The formula for the area of a trapezoid

In the given question,

To find the area of a trapezoid, we use the formula:

A = (1/2) * (b₁ + b₂) * h

where A is the area, b₁ and b₂ are the lengths of the parallel sides of the trapezoid, and h is the height (or perpendicular distance between the parallel sides).

In this case, we are not given the height, but we can still find the area if we make some assumptions. Let's assume that the trapezoid is isosceles, which means that the two non-parallel sides are equal in length. Then we can draw an altitude from one of the vertices to the opposite base, which will bisect the base and create two right triangles.

Using the Pythagorean theorem, we can find the length of the altitude:

a² + (b₁ - b₂)² = (2a)²

Simplifying and solving for a, we get:

a² + (b₁- b₂)² = 4a²

3a² = (b₁ - b₂)²

a = (1/√3) * |b₁ - b₂|

Since we know that the sum of the non-parallel sides is 10 km, we can write:

b₁ + b₂ = 10

Let's assume that b1 is the longer base, so we can write:

b₁ = 8 km

b₂ = 10 - b₁ = 2 km

Substituting these values into the formula for the altitude, we get:

a = (1/√3) * |8 - 2| = (1/√3) * 6 = 2√3 km

Now we can use the formula for the area of a trapezoid to find the area:

A = (1/2) * (b1 + b2) * h

A = (1/2) * (8 + 2) * 2√3

A = 10√3 km²

Therefore, the area of the trapezoid is 10√3 km² (approximately 17.3 km²).

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Answer:    12    x    15= 180 cuadrados

juas juas juas 180  +   180  = 360


15 x 15 cm = 360

Step-by-step explanation:

Answer:

Its \(2,700cm^{2}\)

Ste,p-by-step explanation:

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

y=2x+35

Step-by-step explanation:

so y is what it's equal too so you put y=

then since its $2 every mile you put them next to eachother like

2x so y=2x

then there is just a plain fee of $35 so you add that to the equation which is what makes it look like

y=2x+35

Hope this helps!! :D

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

Answer:

The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.

Answer:

c

Step-by-step explanation:

someone else said c and i got it right

Next all three balls toll after 60 minutes, that is 12:00 PM.

Given that, Three balls toll at an intervals of 10 minutes, 15 minutes and 20 minutes.

They toll together all 11:00 am.

Take LCM of three different intervals. That is,

10= 2×5

15=3×5

20=2×2×5

So, the LCM is 2×2×3×5= 60

Means all three balls toll after 60 minutes, which is 12:00 PM.

Therefore, next all three balls toll after 60 minutes, that is 12:00 PM.

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After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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Answer:

it's the first one 49.96÷5

Answer: 49.96/5 is 9.992, 9.97/3 is 3.32333333333 , 54.6/11 is 4.96363636364 , and 0.6/6 is 0.1

Step-by-step explanation: I believe it has to be either a or d since they are both are near 10 I believe.

Answer: $119

Step-by-step explanation:

     We will find the rate of dollars per hour by dividing.

$289 dollars / 17 hours = $17 dollars per hour

     Next, we will multiply this rate by 7 hours.

7 hours * $17 dollars per hour = $119

The equation of a line describing Carla's motion during the race is                        y = 3x - 5.        

The slope is defined as the rate of change of the y-axis with respect to the x-axis.

As we are representing y as distance in meters and x as time in seconds we can form two co-ordinates for the distance Carla covered, They are

(20,55) and (30,85).

Now to form an equation of a line we have to first determine the slope(m) and y-intercept (b).

We know slope(m) = (y₂-y₁)/(x₂-x₁).

∴ Slope(m) = (85 - 55)/(30 -20).

= 30/10.

= 3.

Now, The equation of this line can be written as slope intercept form as        y = mx + b.

55 = 3(20) + b.

b = -5.

So, y = 3x - 5 is our required equation of this situation represented by a line.

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Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

y = x/2 + 4

Step-by-step explanation:

x = 2y + 4

divide 2 + 4 on both sides in order to isolate y by its self.

x/2 + 4 = 2y + 4/2 + 4

x/2 + 4 = y

y = x/2 + 4

Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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Answer:

B and D

Step-by-step explanation:

Answer:

B and d hope it helps

Step-by-step explanation:

hope it helps

Answer:

\(x= \dfrac{\sqrt{2}}{2}, \quad x=-\dfrac{\sqrt{2}}{2},\\\\x=\dfrac{\sqrt{2 - \sqrt{2}}}{2}, \quad x=-\dfrac{\sqrt{2 - \sqrt{2}}}{2}, \quad x= \dfrac{\sqrt{2 + \sqrt{2}}}{2}, \quad x= -\dfrac{\sqrt{2 + \sqrt{2}}}{2}\)

Step-by-step explanation:

Given equation:

\(x^2+(4x^3-3x)^2=1\)

Expand and equal the equation to zero:

\(\begin{aligned}x^2+(4x^3-3x)^2&=1\\x^2+(4x^3-3x)(4x^3-3x)&=1\\x^2+16x^6-24x^4+9x^2&=1\\16x^6-24x^4+x^2+9x^2-1&=0\\16x^6-24x^4+10x^2-1&=0\end{aligned}\)

Let u = x²:

\(\implies 16u^3-24u^2+10u-1=0\)

Factor Theorem

If f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x)

\(\textsf{As\;\;$f\left(\dfrac{1}{2}\right)=0$\;\;then\;$\left(u-\dfrac{1}{2}\right)$\;is a factor of $f(u)$}.\)

Therefore:

\(\implies \left(u-\dfrac{1}{2}\right)\left(16u^2+bu+2\right)=0\)

Compare the coefficients of u² to find b:

\(\implies b-8 = -24\)

\(\implies b = -16\)

Therefore:

\(\implies \left(u-\dfrac{1}{2}\right)\left(16u^2-16u+2\right)=0\)

Factor out 2:

\(\implies 2\left(u-\dfrac{1}{2}\right)\left(8u^2-8u+1\right)=0\)

\(\implies \left(u-\dfrac{1}{2}\right)\left(8u^2-8u+1\right)=0\)

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for u.

\(\implies u-\dfrac{1}{2}=0 \implies u=\dfrac{1}{2}\)

Use the quadratic formula to solve the quadratic:

\(\implies u=\dfrac{-(-8) \pm \sqrt{(-8)^2-4(8)(1)}}{2(8)}\)

\(\implies u=\dfrac{8 \pm \sqrt{32}}{16}\)

\(\implies u=\dfrac{8 \pm 4\sqrt{2}}{16}\)

\(\implies u=\dfrac{2 \pm \sqrt{2}}{4}\)

Therefore:

\(u=\dfrac{1}{2}, \quad u=\dfrac{2 - \sqrt{2}}{4}, \quad u=\dfrac{2 + \sqrt{2}}{4}\)

Substitute back u = x²:

\(x^2=\dfrac{1}{2}, \quad x^2=\dfrac{2 - \sqrt{2}}{4}, \quad x^2=\dfrac{2 + \sqrt{2}}{4}\)

Solve each case for x:

\(\implies x^2=\dfrac{1}{2}\)

\(\implies x=\pm \sqrt{\dfrac{1}{2}}\)

\(\implies x=\pm \dfrac{\sqrt{2}}{2}\)

\(\implies x^2=\dfrac{2 - \sqrt{2}}{4}\)

\(\implies x=\pm \sqrt{\dfrac{2 - \sqrt{2}}{4}}\)

\(\implies x=\pm \dfrac{\sqrt{2 - \sqrt{2}}}{2}\)

\(\implies x^2=\dfrac{2 + \sqrt{2}}{4}\)

\(\implies x=\pm \sqrt{\dfrac{2 + \sqrt{2}}{4}}\)

\(\implies x=\pm \dfrac{\sqrt{2 + \sqrt{2}}}{2}\)

Solutions

\(x= \dfrac{\sqrt{2}}{2}, \quad x=-\dfrac{\sqrt{2}}{2},\\\\x=\dfrac{\sqrt{2 - \sqrt{2}}}{2}, \quad x=-\dfrac{\sqrt{2 - \sqrt{2}}}{2}, \quad x= \dfrac{\sqrt{2 + \sqrt{2}}}{2}, \quad x= -\dfrac{\sqrt{2 + \sqrt{2}}}{2}\)

Answer:

Step-by-step explanation:

d

Answer:

\( {3}^{rd} \: option\)

Step-by-step explanation:

7x-8=6x+11 [ Vertically opposite angles]

7x-6x= 11+8

x= 19

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

Im pretty sure its A

Step-by-step explanation:

Answer: yes they are equivalent

Step-by-step explanation: When you distribute both equations, you end up with 5m-10.

Answer:

not quite sure the specifc answer of this question at this time

Step-by-step explanation:

Answer:

using \(\pi\):   65.45 in³ (nearest hundredth)

using \(\pi =3.14\):   65.42 in³ (nearest hundredth)

Step-by-step explanation:

The radius of the sphere is half the side length of the cube (see attached diagram).  Therefore, the side length of the cube = 2r

Given:

\(\textsf{Volume of a cube}=x^3\quad \textsf{(where}\:x\:\textsf{is the side length)}\)

\(\implies 125=(2r)^3\)

\(\implies \sqrt[3]{125}=2r\)

\(\implies 5=2r\)

\(\implies r=\dfrac52\)

Substitute the found value of r into the volume of a sphere equation:

\(\begin{aligned}\textsf{Volume of a sphere} & =\dfrac43 \pi r^3\\\\ & =\dfrac43 \pi \left(\dfrac52\right)^3\\\\ & =\dfrac43 \pi \left(\dfrac{125}{8}\right)\\\\ & =\dfrac{500}{24} \pi\\\\ & =\dfrac{125}{6} \pi\\\\ & =65.45\:\sf in^3\:(nearest\:hundredth) \end{aligned}\)