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omeli [17]
2 years ago
7

A recipe for lemonade called for 1 cup of sugar and 5cups of water.How much sugar is used per cup of water

Mathematics
1 answer:
Anit [1.1K]2 years ago
7 0
It would be 1/5 cup of sugar
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A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately fo
allsm [11]

Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

= 1.0 + 0.00434

= 1.00434

3 0
3 years ago
Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviatio
DochEvi [55]

Answer:

Yes, There is significant difference.

Step-by-step explanation:

Null Hypothesis , H0 : Mean income = 15000

Alternate Hypothesis , H1 : Mean income  ≠  15000

t = (x - u) / ( s / √n)

x = sample mean = 14500 here, u = population mean = 15000 here ,             s = standard deviation =  975 here  , n = sample size

t = (14500 - 15000) / (975 / √169)

-500 / 75 = - 6.66

As  calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠  15000'

6 0
3 years ago
Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation amon
alekssr [168]

Using a calculator, the correlation coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.

<h3>What is a correlation coefficient?</h3>

  • It is an index that measures correlation between two variables, assuming values between -1 and 1.
  • If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
  • If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

Using a calculator, we insert the points (x,y) to find the coefficient. In this problem, the points are given as follows:

(1, 5), (4, 8), (8, 3), (13, 10), (19, 13)

The coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

6 0
2 years ago
What is the result of subtracting the second equation from the first?<br> -2x+y=0<br> - 7x + 3y = 2
Monica [59]

Answer:

Photomath help you get the answer

Step-by-step explanation:

7 0
3 years ago
James correctly answered 85% of the 60 problems on his math test. How many questions did James answer correctly❄️
harina [27]

Answer:

James answered 51 questions correctly.

Step-by-step explanation:

1) Slide the decimal 2 places to the left in the percentage (85% = .85)

2) Multiply total by new decimal (60 x .85)

3) All done! (51)

Keep in mind that 100% is just 1 whole. Therefor 85% of one whole is .85. In this problem, 60 represents our whole.

3 0
3 years ago
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