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Ymorist [56]
2 years ago
7

P+q=1 and pq=-20. What are the values of p and q?​

Mathematics
1 answer:
andrey2020 [161]2 years ago
6 0

Answer:

Step-by-step explanation:

5, -4

5-4=1

5(-4)=-20

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Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

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A tree grows 1/4foot in 1/12 year .Write the rate at which this tree grows
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3inches each month or 36inches in a year

Step-by-step explanation:

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3 years ago
A giant bamboo plant grew an average of 18 centimeters per year the botanist started measuring the plant when it was 5 centimete
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3 years ago
Suppose that the mean water hardness of lakes in Kansas is 425 mg/L and these values tend to follow a normal distribution. A lim
tino4ka555 [31]

Answer:

The mean water hardness of lakes in Kansas is 425 mg/L or greater.

Step-by-step explanation:

We are given the following data set:

346, 496, 352, 378, 315, 420, 485, 446, 479, 422, 494, 289, 436, 516, 615, 491, 360, 385, 500, 558, 381, 303, 434, 562, 496

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{10959}{25} =438.36

Sum of squares of differences = 175413.76

S.D = \sqrt{\dfrac{175413.76}{24}} = 85.49

Population mean, μ = 425 mg/L

Sample mean, \bar{x} = 438.36

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = 85.49

First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 425\text{ mg per Litre}\\H_A: \mu < 425\text{ mg per Litre}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{438.36 - 425}{\frac{85.49}{\sqrt{25}} } = 0.7813

Now, t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = -1.7108

Since,                        

The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.

Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.

6 0
3 years ago
A salesperson makes a commission of 1% of all cars that he sells. If his goal is to make at least $4,285 worth of commission dur
shusha [124]

Answer: $428,500

Step-by-step explanation:

Since commission is 1% = 1/100

Let the missing amount be represented as p

From the question, 1/100 × p = 4285

1/100p = 4285

Divide both sides by 1/100 to get the value of p

p = $4285 ÷ 1/100

p= $4285 × 100/1

p = $428500; i hope this helps, please mark as brainliest answer.

6 0
3 years ago
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