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denis23 [38]
3 years ago
14

Use the quadratic formula to find both solutions to the quadratic equation

Mathematics
1 answer:
Anna35 [415]3 years ago
5 0

Answer:

a = 3

b= -1  

c = 5

X = (-b +- sqrt [b^2 - 4ac]) / 2a

X = (--1 +- sqrt (1 - 4*3 * 5)) / 2* 3

x = (1 += sqrt (1 -60)) / 6

x1 = (1 + sqrt (-59)) / 6

x2 = (1 - sqrt (-59)) / 6

Source: http://www.1728.org/quadratc.htm

Step-by-step explanation:

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A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard
FromTheMoon [43]

Answer:

For the restaurant that charges 95 cents, the z-score is -4.29.

For the restaurant that charges $1, the z-score is -3.57.

For the restaurant that charges $1.35, the z-score is 1.43

Step-by-step explanation:

Z-score:

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.

The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.

This means that \mu = 1.25, \sigma = 0.07

Restaurant that charges 95 cents:

The z-score is found when X = 0.95. So

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

Z = \frac{0.95 - 1.25}{0.07}

Z = -4.29

For the restaurant that charges 95 cents, the z-score is -4.29.

Restaurant that charges $1:.

X = 1

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

Z = \frac{1 - 1.25}{0.07}

Z = -3.57

For the restaurant that charges $1, the z-score is -3.57.

Restaurant that charges $1.35:

X = 1.35

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

Z = \frac{1.35 - 1.25}{0.07}

Z = 1.43

For the restaurant that charges $1.35, the z-score is 1.43

4 0
3 years ago
Which equation has infinite solutions?
Sonja [21]

Answer:

a 3x-7=12x

Step-by-step explanation:

=6.33333333

5 0
3 years ago
What are solutions to the equation sinx cosx = square root 3 over4
andrey2020 [161]
\sin(x)\cos(x)=\dfrac{\sqrt{3}}{4}\\\\2\sin(x)\cos(x)=\dfrac{\sqrt{3}}{2}\\\\\sin(2x)=\dfrac{\sqrt{3}}{2}\\\\2x=\arcsin\left( \dfrac{\sqrt{3}}{2} \right)\\\\2x=\left\{ \dfrac{\pi}{3},\dfrac{2\pi}{3}\right\}+2n\pi\\\\\boxed{x=\left\{ \dfrac{\pi}{6},\dfrac{\pi}{3}\right\}+n\pi}

7 0
4 years ago
Round 31.59 to the nearest whole number.
sergiy2304 [10]

Answer:

32

Step-by-step explanation:

4 or less, let it rest. 5 or more, let it soar

3 0
2 years ago
Read 2 more answers
The sum <br> of three numbers is 24. If two numbers are 16 and 22, what is the third?
lisov135 [29]

Answer:

-14

Step-by-step explanation:

16+22+x=24\\38+x=24\\x=-14

7 0
2 years ago
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