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natulia [17]
3 years ago
15

Help for number 10 please

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0

Start with

4(3^3-8) \div 2

Exponents have the highest priority, so we evaluate 3 cubed first:

4(27-8) \div 2

Next, we have to solve parenthesis first: we have 27-8 = 19, so the expression becomes

4 \times 19 \div 2

Multiplications and divisions have the same priority, so we perform them as they appear: 4 \times 19 = 76, so the expression becomes

76 \div 2 = 38

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Rainwater was collected in water collectors at thirty different sites near an industrial basin and the amount of acidity (pH lev
stiv31 [10]

Answer:

The mean and standard deviation of the corrected pH measurements are 6.63 and 3.8025 respectively.

Step-by-step explanation:

We can correct the values of the mean and standard deviation using the properties of the mean and the variance.

To the original value X we have to add 0.2 and multiply then by 1.3 to calculate the new and corrected value Y:

Y=1.3(X+0.2)

The mean and standard deviation of the original value X are 4.9 and 1.5 respectively.

Then, we can apply the properties of the mean as:

E(Y)=E(1.3(X+0.2))=1.3E(X+0.2)=1.3E(X)+1.3*0.2\\\\E(Y)=1.3E(X)+0.26\\\\E(Y)=1.3*4.9+0.26=6.37+0.26=6.63

For the standard deviation, we apply the properties of variance:

V(Y)=V(1.3(X+0.2))\\\\V(Y)=1.3^2\cdot V(X+0.2)\\\\V(Y)=1.69\cdot V(X)\\\\V(Y)=1.69\cdot 1.5^2=1.69\cdot 2.25=3.8025

The properties that have been applied are:

1.\,E(aX)=aE(X)\\\\ 2.\,E(X+b)=E(X)+b\\\\3.\,V(aX)=a^2V(X)\\\\4.\,V(X+b)=V(X)+0

3 0
3 years ago
Multiple choice <br> a. 126 pie cm^3<br> b. 84 pie cm^3<br> c. 504 pie cm*3
Elza [17]

Answer:

a. 126 pie cm^3

Step-by-step explanation:

Area of a circle = pi*r²

Volume = area*height

(pi*r²)*14

Since your answers are with Pi omit the Pi and times 3² * 14 = 126 pie cm³

6 0
3 years ago
Read 2 more answers
Explain how you know that each pair of triangles are similar.
xenn [34]

<em>If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.</em>

8 0
3 years ago
How do you find the hypotenuse if you have 2 side lengths one is 40 m and the other is 5 cm ?
Svet_ta [14]

Answer:

40.3 m

Step-by-step explanation:

a²+b²=c²

40²+5²=c²

1600+25= 1625

√1625 = 40.3112

8 0
3 years ago
Compare the following numbers using &lt; or &gt;?
nordsb [41]

21. 5.65 > 5.1
22. 6.2 < 6.5
23. 4.1 < 4.5
24. 7 < 7.1
25. 9.9 > 9.3
26. 4.1 < 4.5
27. 8.6 >8.1
28. 3.4 < 4.5
29. 4 > 3.9
30. 1.4 < 1.75
31. 7.1 < 7.5
32. 3 < 3.01
4 0
2 years ago
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