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Svetlanka [38]
3 years ago
12

Find the formula for the nth term of these sequences:

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?

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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
3 years ago
What happens when you get a negative square root in the quadratic formula?
prisoha [69]
Edited : I apologise I misunderstood the question.

You can solve the equation.
7 0
3 years ago
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural
Aleksandr [31]

Answer:

1/3 is a rational number

Step-by-step explanation:

4 0
3 years ago
Hi can someone please help me with my math work im very behind
Ipatiy [6.2K]

The volume of soup in the cylindrical can is 100.48 inches cube.

<h3>How to find the volume of a cylindrical can?</h3>

We have to find the volume of the soup in a cylindrical can of height 8 inches and 4 inches across the lid.

The volume of the soup is the volume of the cylindrical can.

Therefore,

volume of the cylindrical can = πr²h

where

  • r = radius of the cylinder
  • h = height of the cylinder

Therefore,

h = 8 inches

r = 4 / 2 = 2 inches

volume of the soup in the cylindrical can = πr²h

volume of the soup in the cylindrical can = π × 2² × 8

volume of the soup in the cylindrical can = π × 4 × 8

volume of the soup in the cylindrical can = 32π

Therefore,

volume of the soup in the cylindrical can = 32 × 3.14

volume of the soup in the cylindrical can = 100.48 inches³

learn more on volume here:brainly.com/question/23207959

#SPJ1

5 0
1 year ago
Help please :)))))))))))))
natali 33 [55]

Answer:

D is the correct answer

if you want explanation you can comment down

6 0
2 years ago
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