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vesna_86 [32]
2 years ago
5

Rate and Ratios IF 3 kg of potatoes cost R24. How much will 7 kg of potatoes cost ​

Mathematics
2 answers:
balu736 [363]2 years ago
4 0

Answer:

7kg of potatoes cost 56 R (dollars)

Step-by-step explanation:

First, we have to find the unit price of 1kg of potatoes. To do this we divide <em>24 by 3</em>. That's <em>8</em>. Each kg of potato costs 8 dollars.

Now, all we have to do is multiply <u><em>8 by 7</em></u>.

8 is the unit rate/kg and 7kg is the amount they are asking.

<u><em>8x7=56</em></u>

7kg of potatoes cost 56R

melisa1 [442]2 years ago
4 0

Answer:

Answer:

7kg of potatoes cost 56 R (dollars)

Step-by-step explanation:

First, we have to find the unit price of 1kg of potatoes. To do this we divide 24 by 3. That's 8. Each kg of potato costs 8 dollars.

Now, all we have to do is multiply 8 by 7.

8 is the unit rate/kg and 7kg is the amount they are asking.

8x7=56

7kg of potatoes cost 56R

Step-by-step explanation:

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Maverick wants to rent some office space for 5 years. The lease states that the
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Answer:

$106,426.01

Step-by-step explanation:

Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years.  Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:

A = $75,000(1 + 0.0725)^5, or

A  =  $75,000(1.0725)^5, or

A  =  $106,426.01

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3 years ago
12.5% as a fraction in simplest form
AVprozaik [17]
<span>12.5% as a fraction in simplest form is 12 1/2

why?

12 is 12 whole so 12
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5 0
3 years ago
Read 2 more answers
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a
ZanzabumX [31]

Answer:

1) Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41

2) \hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

3) z_{crit}=-2.33

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

4) z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017  

5) z_{crit}=-1.28

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

6) We see that |t_{calculated}| so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

7) Null hypothesis:p\geq 0.41  

Step-by-step explanation:

Data given and notation  

n=100 represent the random sample taken

X represent the people indicated that they watch the late evening news on this local CBS station

\hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

p_o=0.41 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 (variable of interest)

p_v{/tex} represent the p value (variable of interest)  Part 1We need to conduct a hypothesis in order to test the claim that 11:00 PM newscast reaches 41 % of the viewing audience in the area:  Null hypothesis:[tex]p\geq 0.41  

Alternative hypothesis:p < 0.41

Part 2  

\hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

Part 3

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.01 of the area on the left and on this case this value is :

z_{crit}=-2.33

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

Part 4

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

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

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017  

Part 5

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.1 of the area on the left and on this case this value is :

z_{crit}=-1.28

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

Part 6

We see that |t_{calculated}| so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

Part 7

Null hypothesis:p\geq 0.41  

4 0
2 years ago
In the table below, y varies inversely as x. What is the missing value?
Minchanka [31]

Answer:

<h2>The value of y is <u>0.5</u>, so the answer is <u>C</u>.</h2>

Step-by-step explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ 4 =  \frac{k}{3}  \\ 12 = k

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ y =   \frac{12}{24} \\ y =  \frac{1}{2} \\\boxed{y = 0.5}

6 0
2 years ago
Find the rectangular coordinates of the point with the polar coordinates (3, 3 divided by 2 pi ). (1 point)
kifflom [539]

Answer:

The correct choice is (0,-3)

Step-by-step explanation:

To convert from polar coordinates to rectangular coordinates, we use the parametric equations:

x=r\cos \theta and y=r\sin \theta

The point given to us in polar coordinates is (3,\frac{3}{2}\pi).

where r=3,\theta=\frac{3\pi}{2}

x=3\cos (\frac{3\pi}{2}) and y=3\sin( \frac{3\pi}{2})

x=3(0) and y=3(-1)

x=0 and y=-3

The correct choice is (0,-3)

5 0
3 years ago
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