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1 year ago

Question Solve. 2 1/3−1/2x=−2/3 Enter your answer in the box.

Mathematics

1 answer:

Tcecarenko [31]1 year ago

6 0

2/3 - 1/2x = -2/3 then the value of x is 6 .

The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

The steps to use the calculator to determine x's value are as follows:

Fill in the multiplicand and product fields with the numbers (Integer/Decimal Numbers).
To obtain the result, press the "Solve" button now.
The output field will show the dividend or the x value.

given equation is

2/3 - 1/2x = -2/3

⇒7/3-x/2 = -2/3

⇒7/3+ 2/3 =x/2

⇒9/3 = x/2

⇒ x=3 x 2

⇒ x=6

therefore the value of the x is 6

To know more about how to find x values visit :

brainly.com/question/21481562

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Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation o

Vikki [24]

Answer:

(a) The percent of her laps that are completed in less than 130 seconds is 55%.

(b) The fastest 3% of her laps are under 125.42 seconds.

Step-by-step explanation:

The random variable X is defined as the number of seconds for a randomly selected lap.

The random variable X is normally distributed with mean, μ = 129.71 seconds and standard deviation, σ = 2.28 seconds.

Thus, $X\sim N(129.71,\ 2.28^{2})$ .

(a)

Compute the probability that a lap is completes in less than 130 seconds as follows:

$P(X$

$=P(Z$

The percentage is, 0.55 × 100 = 55%.

Thus, the percent of her laps that are completed in less than 130 seconds is 55%.

(b)

Let x represents the 3rd percentile.

That is, P (X < x) = 0.03.

⇒ P (Z < z) = 0.03

The value of z for the above probability is:

z = -1.88

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\-1.88=\frac{x-129.71}{2.28}\\x=129.71-(1.88\times 2.28)\\x=125.4236\\x\approx 125.42$

Thus, the fastest 3% of her laps are under 125.42 seconds.

(c)

Let x₁ and x₂ be the values between which the middle 80% of the distribution lie.

That is,

$P(x_{1}$

The value of z for the above probability is:

z = 1.28

Compute the values of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-1.28=\frac{x_{1}-129.71}{2.28}\\x_{1}=129.71-(1.28\times 2.28)\\x=126.7916\\x\approx 126.80$ $z=\frac{x_{2}-\mu}{\sigma}\\1.28=\frac{x_{2}-129.71}{2.28}\\x_{2}=129.71+(1.28\times 2.28)\\x=132.6284\\x\approx 132.63$

Thus, the middle 80% of her laps are from 126.80 seconds to 132.63 seconds.

5 0

3 years ago

You might need:

mash [69]

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

8 0

3 years ago

16x - 3 = 12x + 13 Kkjjkkkkjhjhn

Leokris [45]

Answer:

X = 4

Step-by-step explanation:

16x -3 = 12x+13

16x-12x=13+3

4x= 16

x = 16/4

x=4

3 0

3 years ago

The hypotenuse of a right triangle is 16 ft longer than the length of the shorter leg. If the area of this triangle is exactly 1

yarga [219]

Answer:

A. 26 ft

Step-by-step explanation:

You might recognize that this triangle is a 5-12-13 triangle scaled up by a factor of 2. If so, you know immediately, that the hypotenuse is 2×13 = 26 feet in length.

If you're not so lucky, you can write equations involving the lengths of the legs of the triangle. Let those be x and y, with x being the shorter leg. Then the Pythagorean relation tells you ...

x² + y² = (x+16)²

and the area relation tells you ...

120 = (1/2)xy

Using the second equation to write an expression for y, we have ...

y = 240/x

Substituting this into the first equation gives ...

x² + (240/x)² = (x+16)²

(240/x)² = 32x +256 . . . . subtract x²

1800 = x²(x +8) . . . . . . . . .multiply by x²/32

This is a cubic with one real root. It can be solved several ways. I like "graphing" as it is quick and easy. Trial and error also works. The factors of 1800 include 10²·18, so it is clear that x=10 is the solution.

The hypotenuse length is x+16, so is 26 feet.

___

The attachment shows the graphical solution of the original two equations. This tells you the legs of the triangle are 10 and 24, so the hypotenuse will be 10+16 = 26. The 10-24-26 triangle is recognizable as a scaled version of the 5-12-13 triangle often used in math problems.

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3 years ago

Find the sum of-10x^2-x+6 and 10x^2-5

Sindrei [870]

Answer:

=-10x^2-x+6adn

Step-by-step explanation:

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3 years ago