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3 years ago

(6-5) × (4-2) + 12/4 = 5

Mathematics

2 answers:

ehidna [41]3 years ago

4 0

$\\ \sf\longmapsto (6-5)\times (4-2)+\dfrac{12}{4}=5$

$\\ \sf\longmapsto 1(2)+\dfrac{12}{4}=5$

$\\ \sf\longmapsto 2+\dfrac{12}{4}=5$

$\\ \sf\longmapsto \dfrac{8+12}{4}=5$

$\\ \sf\longmapsto \dfrac{20}{4}=5$

$\\ \sf\longmapsto 5=5$

vagabundo [1.1K]3 years ago

4 0

Answer:

There u go my friend, hope it helps, if u don't understand, u can ask again

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Q3. Express 984. 6080 correct to

const2013 [10]

Answer:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest hundredth

Step-by-step explanation:

Answers to the approximation questions above are supplied below.

First, you needs to know approximation processes:

Step 1: Keep the required number of digits in question.

Step 2: Before rounding off the remaining digits, look at the next digit to the required number of accuracy, if it is 5 or more, increase the last digit of the number you're keeping by 1, otherwise leave it as it is and round down to zero all the unwanted digits.

Similarly, there is need know the meaning of each degree of accuracy.

1. Decimal places: These are the number of digits occurring after the decimal point. E.g. a set of figures in 1 decimal place has only one digit after decimal point, i.e. 65.4. In the case of the question above,

a) 984.6080 = 984.61 to 2 decimal places

c) 984.6080 = 984.608 to 3 decimal places

2. Significant figures: Basically, these are nonzero digits in a set of figures. However, when zero is in the middle of nonzero digits, i.e, 3045, such zero is a significant figure. In the question above,

b) 984.6080 = 984.6 to 4 significant figures

3. Hundredth: Under place value system, hundredth of a set of figures is located at two digits after the decimal point. In other words, hundredth is same as two decimal places so the same approach is required for the two. Thus;

d) 984.6080 = 984.61 to the nearest hundredth

You can see that the result for both 2 decimal places and nearest hundredth are the same, that is, 984.6080 = 984.61 to 2 decimal places and to the nearest hundredth respectively.

Therefore, the answers are summarized thus:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest hundredth

5 0

3 years ago

Read 2 more answers

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by

Zigmanuir [339]

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

$\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12$

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

5 0

2 years ago

She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?

ehidna [41]

Answer:

I believe it is, 30 minutes of running.

Explanation:

If she spends 12 minutes walking, that means she’s done 6 ‘sets’ of two minutes.

Then, you just have to multiply 6 by 5 and then you get 30.

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3 years ago

A rectangular tank with a square base, an open top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet

Vlad [161]

Answer:

26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

_____

Solution using derivatives

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

2x -35152/x^2 = 0

x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

x = 26

_____

As the attached graph shows, a graphing calculator can also provide the solution.

5 0

3 years ago

2 Probability and Stats questions!!

mart [117]

1) To find the confidence interval
the sample mean x = 38 σ = 9; n = 85;
The confidence level is 95% (CL = 0.95) CL = 0.95
so α = 1 – CL = 0.05
α/2 = 0.025 Z(α/2) = z0.025
The area to the right of Z0.025 is 0.025 and the area to the left of Z0.025 is 1 – 0.025 = 0.975
Z(α/2) = z0.025 = 1.645 This can be found using a computer, or using a probability table for the standard normal distribution.
EBM = (1.645)*(9)/(85^0.5)=1.6058 x - EBM = 38 – 1.6058 = 36.3941 x + EBM = 38 + 1.6058 = 39.6058
The 95% confidence interval is (36.3941, 39.6058).
The answer is the letter D
The value of 40.2 is within the 95% confidence interval for the mean of the sample

2) To find the confidence interval 
the sample mean x = 76 σ = 20; n = 102; 
The confidence level is 95% (CL = 0.95) CL = 0.95
so α = 1 – CL = 0.05
α/2 = 0.025 Z(α/2) = z0.025
The area to the right of Z0.025 is 0.025 and the area to the left of Z0.025 is 1 – 0.025 = 0.975
Z(α/2) = z0.025 = 1.645 This can be found using a computer, or using a probability table for the standard normal distribution.
EBM = (1.645)*(20)/(102^0.5)=3.2575 x - EBM = 76 – 3.2575 = 72.7424 x + EBM = 76 + 3.2575 = 79.2575 
The 95% confidence interval is (72.7424 ,79.2575).
The answer is the letter A and the letter D
The value of 71.8 and 79.8 are outside the 95% confidence interval for the mean of the sample

5 0

3 years ago