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Wittaler [7]
3 years ago
6

What is x in this equation 1/4x-3=2/3x+1/3

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

Answer:

X would equal -8.

Step-by-step explanation:

1/4x - 3 = 2/3x + 1/3

3x - 36 = 8x + 4

3x - 8x = 4 + 36

-5x = 40

x = -8 :)

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What is the exact value of tan 75°?
3241004551 [841]

3.7321

Tan 75 degrees is the value of tangent trigonometric function for an angle equal to 75 degrees. The value of tan 75° is 2 + √3 or 3.7321 (approx).

3 0
2 years ago
Factor completely: x2 - 8x + 16
katovenus [111]
x^2 - 8x + 16 = 0\ \to\ a = 1\ ;\ b = -8\ ;\ c = 16

\frac{-b\pm \sqrt{b^2 - 4ac}}{2a} = \frac{8\pm \sqrt{64 - 4\cdot 1\cdot 16}}{2\cdot 1} = x_1 = 4\ ;\ x_2 = 4

x^2 - 8x + 16 = (x - 4)^2
5 0
4 years ago
Read 2 more answers
The hose is 2 inches in diameter. What circumference does the plug need to be?
scoray [572]

Answer:

6.28

Step-by-step explanation:

This problem bother on the mensuration of flat shapes, a circle.

Volume v =

Diameter d=  2inches

Radius r =  =\frac{diameter}{2} = \frac{2}{2} = 1 in

Since we are required to solve for the circumference of a circle

The expression for the circumference of a circle is given as

C= 2\pi r

C= 2*3.142*1\\C= 6.28

The question insist that we type just a number hence the circumference6.28 of the plug is 6.28

4 0
4 years ago
A reproductive clinic had a success rate of 25% of patients with live births in 2008. They want to update their success rate (th
Anastasy [175]

Answer:

They should sample the results of 1990 patient results.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A reproductive clinic had a success rate of 25% of patients with live births in 2008.

This means that \pi = 0.25

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?

They should sample n patients.

n is found for M = 0.025. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}

0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}

\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}

(\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2

n = 1989.2

Rounding up:

They should sample the results of 1990 patient results.

3 0
3 years ago
Fractions and decimals <br> 0.02
elena-s [515]

Answer:

2 divide by 10 will give you 0.02

5 0
3 years ago
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