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algol [13]
2 years ago
14

Match each question to the correct problem.

Mathematics
1 answer:
Maslowich2 years ago
7 0
<h2>Answer:</h2>

<em>(Check attached images).</em>

<h2>Step-by-step explanation:</h2>

<h3>Exercise 1.</h3>

a. Convert to decimals.

To order the numbers from least to greaters, convert them to decimals and compare.

5.2(percent)=0.052\\ \\\frac{1}{7} =0.1429\\\\ -0.8=-0.8000\\ \\\frac{-11}{5} =-2.2

b. Select the second least number.

-0.8.

<h3>Exercise 2.</h3>

a. Convert to decimals.

-3.4(percent)=-0.034\\ \\-0.031\\\\ -0.2\\ \\-\sqrt{0.8}= -0.8944

b. Select the correct number.

-\frac{1}{5}.

<h3>Exercise 3.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

<em>59%=0.59</em>

<em>3/5=0.6</em>

<em />

b. Select the correct number.

3/5.

<h3>Exercise 4.</h3>

a. Convert to decimals.

-0.35

-3.5%= -0.035

b. Conclude.

Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".

<h3>Exercise 5.</h3>

a. Try to visually estimate b.

B appears to have a value of -0.9.

b. Convert the numbers to decimals.

-3.4%= -0.034

-0.031

-1/5= -0.2

-\sqrt{0.8}= -0.8944

c. Select the correct answer.

<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em>-\sqrt{0.8}.

<h3>Exercise 6.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

5.2%= 0.052

1/7= 0.1429

b. Select the correct number.

5.2% is the second largest.

<h3>Exercise 7.</h3>

a. Convert to decimals.

6/7= 0.857143

0.857

b. Select the correct answer.

Seeing that 0.857 is marked as an approximate by the

ellipsis,  and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".

<h3>Exercise 8.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>

<em>-4.6</em>

<em />-\sqrt{21} =-4.5826

b. Select the correct answer.

The smallest number is -4.6.

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Doi cocosi cantaresc tot atat cat 3 gaini. Opt cocosi si 9 gaini cantaresc 42 kg. Cat cantareste un cocos si cat cantareste o ga
ss7ja [257]

Answer:

The weight of one rooster is 3 Kg and the weight of one hen is 2 Kg

Step-by-step explanation:

<u><em>The question in English is</em></u>

Two roosters weigh as much as 3 chickens. Eight roosters and 9 hens weigh 42 kg. How much does a rooster weigh and how much does a hen weigh, knowing that all roosters have the same weight, respectively the hens weigh the same.

Let

x ----> the weight of one rooster in kilograms

y ----> the weight of one hen in kilograms

we know that

8x+9y=42 ------> equation A

2x=3y ----> equation B

Solve the system by graphing

Remember that

The solution of the system of equations is the intersection point both graphs

The solution is the point (3,2)

see the attached figure

therefore

The weight of one rooster is 3 Kg and the weight of one hen is 2 Kg

8 0
4 years ago
Write the virtud for a parabola that satisfies the condition given. Then write the equation in the form y=ax^2+bc+c. Vertex (3,1
avanturin [10]

Answer:

  • y = 3(x -3)^2 +1
  • y = 3x^2 -18x +28

Step-by-step explanation:

For vertex (h, k) and vertical scale factor "a", the vertex form of the equation of a parabola is ...

  y = a(x -h)^2 +k

For (h, k) = (3, 1) and a = 3, the equation in vertex form is ...

  y = 3(x -3)^2 +1

__

Expanding this gives the equation in standard form.

  y = 3(x^2 -6x +9) +1

  y = 3x^2 -18x +28

8 0
3 years ago
The data on the right represent the number of traffic fatalities by seat location and gender. Determine ​P(​) and ​P(​|​). Are t
liubo4ka [24]

Answer:

The probability of selecting a male is 0.3151.

The events "male" and "driver" are not independent.

The correct option is B.

Step-by-step explanation:

The missing data is as follows:

                    Female          Male          Total

Driver            32759          11715          44474

Passenger      6534           6361          12895

Total              39293         18076          57369

The complete question is:

Determine ​P(​male) and ​P(male​|driver​). Are the events ​"male​" and ​"​driver" ​independent?

Solution:

Compute the probability of selecting a male as follow:

P(M)=\frac{n(M)}{N}=\frac{18076          }{57369}=0.3151

Thus, the probability of selecting a male is 0.3151.

Compute the probability of selecting a male given that he is a driver as follows:

P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634

Two events, say A and B, are independent if:

P (A|B) = P(A)

Here, P (M|D) ≠ P (M)

Thus, the events "male" and "driver" are not independent.

7 0
4 years ago
a rule for an example of a nonlinear function that fits the following description. when d is 4, r is 9, and r is a function of d
Anika [276]
Some possibilities:
r = (9√d)/2, so f(d) = <span>(9√d)/2
r = 9d^2/16, so f(d) = </span><span>9d^2/16</span>
r = 9(2^d)/16, so f(d) = 9(2^d)/16

These are examples of non-linear functions of d which fit the description. I think that is what you are asking, but comment if I'm wrong?



3 0
3 years ago
PLEASE HELP QUICK!!!!!!!!!!!!!!
Mars2501 [29]
Okay so it's 772.44 I'll explain why
3 0
3 years ago
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