2 [19 marks]
state of the main dams supplying the Cape Metropolitan area with water
as
compared to the five previous years is reflected in the table below.
The capacity is given in million cubic meters (million m').
TABLE 2: Water level of dams supplying water in the Cape Metropolitan area.
BULK
DAN STORAGE
Current Previous
CAPACITY
%
week
week
2012
2013
2014
2015
2016
6 Aug
WEMNERSHOEK
58,644
79.1
99.9
99.9
71.1
69.1
60.8
STEENBRAS LOWER
33,517
100.2
100.6
100.1
90.6
64.1
63.4
STEENBRAS UPPER
31,767
99.6
102.4
100.3
100.6
99.6
100.7
VOELVLEI
164,095
73.6
94.8
99.9
49.5
57.6
55.3
THEEWATERSKLOOF
480,188
84
103.3
102.9
71.9
50.2
49.2
BERG RIVER
130,010
103.8
101.8
100.7
85
64.5
62.2
TOTAL STORED
899,221 770,625 908,922 912,967 641,009 512,850 501,397
% STORAGE
85.8
1012
101.6
71.4
57.1
55.8
2.1
What does the word capacity mean?
(2)
2.2
Determine the range of the capacity of these dams.
(3)
2.3
Determine the median capacity of these dams.
(3)
2.4
Which dam showed an increase in the water level from 2015 to
2016?
(2)
2.5
(3)
Calculate, to the nearest million m. the current amount of water in
the Berg River dam
Which dam's water level remained the most constant over this five year
period?
2.6
(2)

Answers

Answer 1

Answer:

berg river

Step-by-step explanation:

it has good environmental health


Related Questions

Shana has three pets, a dog, a cat and a bird. One of them is named Sammy. Noodles is younger than both the bird and the dog. Fluffy is green. Which pet has the name Sammy?

Answers

Answer:

The dog has the name Sammy.

Step-by-step explanation:

A cat and dog cannot be green, therefore the bird is Fluffly.

Noodles must be the cat since it's younger than the bird and the dog.

The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.

Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95

Answers

Answer:

450g coffee or 21.95$ coffee

Step-by-step explanation:

again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum.
[infinity]
Σ 8/n^2-1
n=3

Answers

Answer:

The sum converges at: [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

Given

[tex]\sum\limits^{\infty}_{n =2} \frac{8}{n^2 - 1}[/tex]

Express the denominator as difference of two squares

[tex]\sum\limits^{\infty}_{n =2} \frac{8}{(n - 1)(n+1)}[/tex]

Express 8 as 4 * 2

[tex]\sum\limits^{\infty}_{n =2} \frac{4 * 2}{(n - 1)(n+1)}[/tex]

Rewrite as:

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{2}{(n - 1)(n+1)}[/tex]

Express 2 as 1 + 1 + 0

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+0}{(n - 1)(n+1)}[/tex]

Express 0 as n - n

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+n - n}{(n - 1)(n+1)}[/tex]

Rewrite as:

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)-(n - 1)}{(n - 1)(n+1)}[/tex]

Split

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)}{(n - 1)(n+1)}-\frac{(n - 1)}{(n - 1)(n+1)}[/tex]

Cancel out like terms

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]

In the above statement, we have:

[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{6})][/tex]

[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{6})][/tex]

Add [tex]a_7[/tex]

[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{7 - 1} - \frac{1}{7+1})][/tex]

[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{6} - \frac{1}{8})][/tex]

[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{8})][/tex]

Notice that the pattern follows:

[tex]a_3 + a_5 + a_7 + ...... + a_{k}= 4[(\frac{1}{2} - \frac{1}{k+1})][/tex]

The above represent the odd sums (say S1)

For the even sums, we have:

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]

In the above statement, we have:

[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{7})][/tex]

[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{7})][/tex]

Add [tex]a_8[/tex] to both sides

[tex]a_4 + a_6 +a_8 = 4[(\frac{1}{3} - \frac{1}{7}) + \frac{1}{7} - \frac{1}{9}][/tex]

[tex]a_4 + a_6 +a_8 = 4[\frac{1}{3} - \frac{1}{9}][/tex]

Notice that the pattern follows:

[tex]a_4 + a_6 + a_8 + ...... + a_{k}= 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]

The above represent the even sums (say S2)

The total sum (S) is:

[tex]S = S_1 + S_2[/tex]

[tex]S =4[(\frac{1}{2} - \frac{1}{k+1})] + 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]

Remove all k terms

[tex]S =4[(\frac{1}{2}] + 4[(\frac{1}{3}][/tex]

Open bracket

[tex]S =\frac{4}{2} + \frac{4}{3}[/tex]

[tex]S =\frac{12 + 8}{6}[/tex]

[tex]S =\frac{20}{6}[/tex]

[tex]S =\frac{10}{3}[/tex]

The sum converges at: [tex]\frac{10}{3}[/tex]

There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?

Answers

Answer:

[tex]P(Good\ and\ Bad) = 12/49[/tex]

Step-by-step explanation:

Give

[tex]Good = 4[/tex]

[tex]Bad = 3[/tex]

Required

[tex]P(Good\ and\ Bad)[/tex]

This is calculated as:

[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]

So, we have:

[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]

[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]

[tex]P(Good\ and\ Bad) = 12/49[/tex]


Given a mean of 75 and a standard deviation of 7, how many students out of 500
would score higher than 89?

Answers

Answer:

230

Step-by-step explanation:

isiwjsjxjxjsiqisjnx

How many sides does a regular polygon have if each exterior angle measures
20?

Answers

Answer:

18 sides

Step-by-step explanation:

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides

Which is a possible turning point for the continuous
function f(x)?

Answers

Step-by-step explanation:

Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.

The price of admission to a World War I history museum is $8.29 for adults and $6.47 for children. A family of 2 adults and 4 children visits the museum. What is the total cost, in dollars, of admission?

Answers

Answer:

cost for adults=$8.29

cost for children=$6.47

cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46

What is the volume, in cubic centimeters, of a rectangular prism with a height of 17 centimeters, a width of 17 centimeters, and a length of 11 centimeters?

Answers

Answer:

3179cm^3

Step-by-step explanation:

[tex]volum = height × width × length \\ = 17cm \times 17cm \times 11cm \\ = {3179cm}^{3} [/tex]

please can anybody help me?​

Answers

Answer:

A) BEM is an acute angle. B) MBX is an obtuse angle. C) XBE is a straight angle. D) XBE is an angle of vertex B. E) MBY is an angle of side [My). F) Another name for angle BER is REB. G. XBY and MBE are adjacent. EBY and XBM are supplementary angles.

PLEASE HELP LAST THING I NEED ON MATH

WILL GIVE BRAINLIEST, THANKS AND 5* VOTE

TROLL = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED​

Answers

Answers:

side a = 12.3 unitsangle B = 100 degreesside b = 15.8 units

===========================================================

Explanation:

Let A = 50 degrees and C = 30 degrees. The side opposite angle uppercase C is lowercase c = 8. Convention usually has uppercase letters as the angles, while the lowercase letters are side lengths. A goes opposite 'a', B goes opposite b, and C goes opposite c.

Let's use the given angles to find the missing angle B

A+B+C = 180

50+B+30 = 180

B+80 = 180

B = 180-80

B = 100

Now we can apply the law of sines to find side b

b/sin(B) = c/sin(C)

b/sin(100) = 8/sin(30)

b = sin(100)*8/sin(30)

b = 15.7569240481953

b = 15.8

Make sure your calculator is in degree mode.

----------------------------

We'll do the same thing to find side 'a'

a/sin(A) = c/sin(C)

a/sin(50) = 8/sin(30)

a = sin(50)*8/sin(30)

a = 12.2567110899037

a = 12.3

Both values for 'a' and b are approximate (even before rounding).

-----------------------------

Extra info (optional)

As you can probably tell or guess, the phrasing "solve the triangle" means "find all sides and angles".Notice how if we erase the question marked sides and angles of the original drawing, we're left with something in the AAS case. Meaning that exactly one triangle is possible here. We don't have to worry about any ambiguous case.If you wanted, you could apply the law of cosines rule after you determine two sides and an included angle between them. This will yield the length of the side opposite the angle.

Answer:

B=100

b=15.7

a=12.25

Step-by-step explanation:

first find the missing angle:

B=180-50-30

B=100

then use the law of sines:

[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) ) } = \frac{c}{ \sin(c) } [/tex]

then

[tex] \frac{a}{ \sin(50) } = \frac{8}{ \sin(30) } \\ \\ a = 12.25[/tex]

use the same way to find the other side

[tex] \frac{b}{ \sin(100) } = \frac{8}{ \sin(30) } \\ b = 15.7[/tex]

If P = (-4,-3) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = [
]​

Answers

Answer:

[tex](x+1)^2 + (y + 1)^2 = 13[/tex]

Step-by-step explanation:

To find the centre of the circle, find the mid - point of PQ :

[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]

Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:

[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]

                   [tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]

PQ is the diameter , therefore radius :

                                                [tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]

Equation of a circle :

                              [tex](x + 1)^2 + (y + 1)^2 = 13[/tex]

Answer:

(x - 1)2 + (y - 1)2 = 13

Step-by-step explanation:

This is the answer for Acellus users

Anyone know??? PLEASE HELP ME

Answers

Answer:

C

Step-by-step explanation:

Try it.

Answer:Its B or C

Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.

In the equation 2x+4=y, what is the value of y when x=5?

Answers

9514 1404 393

Answer:

  y = 14

Step-by-step explanation:

Put the value of x where x is and do the arithmetic.

  2x + 4 = y

  2·5 + 4 = y . . . . . . substitute for x

  10 + 4 = y . . . . . . . multiply

  14 = y . . . . . . . . . . add

The value of y is 14 when x = 5.

How do you find the square root of 11? I need to show work

Answers

Answer:3.31662479036.

Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.

I am a fraction and I am equivalent to 4/9. If my numerator is 28. Who am I?

Answers

The answer should be 27/63

Answer:

I am 28/63

Step-by-step explanation:

4 * 7 = 28

9 * 7 = 63

Therefore, 4/9 is equivalent to 28/63.

Many service companies collect data via a follow-up survey of their customers. For example, to ascertain customer sentiment, Delta Air Lines sends an e-mail to customers immediately following a flight. Among other questions, Delta asks:

How likely are you to recommend Delta Air Lines to others?
The possible responses are:

1. Definitely will
2. Probably Will
3. May or May Not
4. Probably Will Not
5. Definitely Will Not

Required:
a. Are the data collected by Delta in this example quantitative or categorical?
b. What measurement scale is used?

Answers

Answer:

The answer is "Categorical and Ordinal scale"

Step-by-step explanation:

Categorical factors affect data types that can be grouped. This analysis is the examination of data in which the answer variables are grouped in a series of reciprocal classifications, like the age group or even the unordered groups of eye colors.

An ordinal chart is a form of the category with such a specific order or scale. It is the 2nd assessment level that provides the ordering and order of data, without really measure the extent of variability. The first of the four measuring scales is the ordinal scale of listening.

A basketball player made 80 out of 100 attempted free throws. What percent of free throws was​ made?
I need a correct answer asap!

Answers

Percent of free throws = (number of free throws made / total attempts) x 100

Percent = (80/100) x 100 = 80%

The answer is 80%

Answer:

80%

Step-by-step explanation:

(04.02 MC)
Segment AB falls on line 2x - 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

Answers

Answer:

A

Step-by-step explanation:

graph this equation using the intercepts: 6x-4y-12=0. state the intercepts in ordered pairs

Answers

Answer:

Step-by-step explanation:

y=[tex]\frac{3}{2} x\\[/tex]-3

To wrap a gift, you can choose from 6 kinds of wrapping paper, 3 gift bags, 4 colors of ribbon, 2 bows, and 5 stickers. You choose either a style of wrapping paper or a gift bag. Then you choose one of each of the remaining items. Find the total number of ways you can wrap the gift.

Answers

Answer:

the answer would be 480 different ways because you would multiply all the numbers.

Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. Suppose you are a news reporter following four criminal trials.
a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? What is the probability if the trials were in the United States?
b) Of the four trials, what is the expected number of guilty verdicts in Japan? What is the expected number in the United States? What is the standard deviation in Japan? What is the standard deviation in the United States?
c) As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at least 99% sure of two or more convictions? What is the smallest number of trials n you would need if you covered trials in Japan?

Answers

Step-by-step explanation:

Let X be the number of guilty defendants in Japan

Let y be the number in the US

we have n = 4

p = 0.95

a.) prob of trials in Japan

p(x=4)

= 0.95⁴

= 0.8145

prob of trials in US

p(X=4)

= 0.60⁴

= 0.1296

B. expected number in Japan

E(X) = n*p

= 4*0.95

= 3.8

we find the variance

= n*p(1-p)

= 4*0.95(1-0.95)

= 0.19

standard deviation for japan

= √0.19

= 0.4359

expected number for US

E(X) = n*p

= 4*0.60

= 2.4

we find the variance

= n*p(1-p)

= 4*0.60(1-0.6)

= 0.96

standard deviation for US

= √0.96

= 0.979

c. 2*4 = 8

Roman numeral for 67​

Answers

Answer:

LXVII

Step-by-step explanation:

The roman numeral for 67 is LXVII

LX represents 60 and VII represents 7

Answer :

LXVII

LX=60 and VII=7

i will mark brainliest please help me on this question! ​

Answers

It’s option a I have done the assignment myself

100 POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A = 0.25*j + 1

Step-by-step explanation:

The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.

Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling  j cups of orange juice.

The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.

The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;

A = 0.25*j + 1

Hope this helped.....

Answer:

5 points huh thats mean

Step-by-step explanation:

Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30

Answers

Answer:

5 13 and 10

blue cheese

5 13 and 10 hope I help

The area of a square rug is 64 ft.² what is the perimeter of the rug?

Answers

Answer:

[tex]32[/tex][tex] {ft}^{2} [/tex]

Step-by-step explanation:

The area of a square rug = 64 ft²

First we will find the side of square rug = [tex] {64}^{2} = {s}^{2} [/tex]

[tex] {s}^{2} = 8 [/tex]

Perimeter of the rug = [tex]4 \times 8 [/tex][tex] = 32[/tex]ft²

Hope it is helpful...

SAT Scores The national average SAT score (for verbal and math) is 1028. Assume a normal distribution with o=92.
0
Round intermediate : -value calculations to two decimal places.

What is the 95th percentile score? Round the answer to the nearest whole number,

The 95th percentile score is ?

Answers

Answer:

Similar to your other question. Now, you're looking for the score such that this time, 0.99 corresponds to a z-score of approximately, which means

h is f × 2 r
pla help​

Answers

Answer:

step one 1 ×3 = 4

Step-by-step explanation:

how first fo ther

A cable network offers members a Basic plan for ​$7.26 per month. For ​$3.00 more per​ month, the cable network offers a Standard​ plan, which includes HD movies. During one​ week, 310 new subscribers paid a total of ​$2580.60 for their plans. How many Basic plans and how many Standard plans were​ purchased?
___Basic plans and ___ Standard plans were purchased

Answers

Answer:

110 basic plans and 200 standard plans were purchased.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of basic plans.

y is the number of standard plans.

310 new subscribers

This means that [tex]x + y = 310[/tex], and so, [tex]y = 310 - x[/tex]

A cable network offers members a Basic plan for ​$7.26 per month. For ​$3.00 more per​ month. Total paid of $2580.60.

This means that:

[tex]7.26x + 10.26y = 2580.6[/tex]

Since [tex]y = 310 - x[/tex]

[tex]7.26x + 10.26(310 - x) = 2580.6[/tex]

[tex]7.26x + 3180.6 - 10.26x = 2850.6[/tex]

[tex]3x = 330[/tex]

[tex]x = \frac{330}{3}[/tex]

[tex]x = 110[/tex]

Then

[tex]y = 310 - x = 310 - 110 = 200[/tex]

110 basic plans and 200 standard plans were purchased.

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A restaurant is considering buying a new coffee making machine, which will be replaced over and over with a new one when an old one dies. Each coffee making machine costs $143,000, and is expected to die after exactly 6-years. Each machine will costs $10,200 per year to operate. The discount rate that the restaurant assigns to this coffee making machine project is 11 percent per year. The straight-line depreciation method would be used when calculating the machine's loss of value for tax purposes. Each coffee making machine will be fully depreciated all the way to zero at the end of its life. Also, each coffee making machine will have a before-tax salvage value of $10,500 at the end of its life. The restaurant's tax rate is 25 percent. As always, assume that all cash flows occur at year end. If the restaurant buys a coffee making machine over and over in perpetuity, as soon as one dies, what would be the average, or the equivalent, annual cost (EAC) of the machine? According to the course, which of these has not been linked to damage caused byUVB radiation?a) Destruction of DNAb) Melanoma and premature agingc) Basal cell and squamous cell carcinomasd) Severe sunburn Construct a data set that has the given statistics.n = 7x = 12S = 0 You can do only number 1 only Help ASAP math homework no spam links or i will report what are the advantages of genetically modified plants HELP!! Create a system of equations with the solution (-4, 1) Write the exact value of the side length of a square with an area of100 square units,95 square units.36 square units.30 square units. If you are parking with a manual transmission vehicle, shift tobefore turning off the engine.NeutralParkReverseA low gearSub 1: Which two parts of the taxa do we use to name organisms?2: List and describe each of the three Domains.3 List and describe the four kingdoms in the Eukarya Domain. A: What (A) is the weather in (B) Hanoi today?B: It is (C) hot and sunny (D). If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-intercept form. Why did Gregor Mendel use peas in his experiments?Peas grow very slowly.Pea reproduction cannot be controlled.Peas normally produce very few offspring.Peas have characteristics that have two forms. A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present. in how many ways can a principal choose 3 of their 30 teachers to attend a conference need ko po ng explanation please..... Solve for j-1/3 = j/4 - 10/3 which tense uses the passive vioce someone asapA small factory has 3 machines for producing protractors. The high speed machines produces 61% the protractors but 6% of its output is defective. The medium speed machine produces 24% of the protractors, of which 4%o are defective. The low speed machine, which has a defective rate of 2% produces the remainder.{a) Draw a tree diagram. (b) What is the probability of a protractor not being defective given it came from a low speed machine?(c). Knowing that a protractor is defective, what ls the probability it came from the high speed machine? Photosynthesis occurs with the help ofA. CO2 and WaterB. SO2 and waterC. Oxygen and CO2D. Oxygen and water please help dhejsjaja