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Natalka [10]
2 years ago
15

Illustrative Example 1:

Mathematics
1 answer:
dlinn [17]2 years ago
6 0

Given:

The data set is:

87, 84, 85, 85, 86, 90, 79, 82, 78, 76

To find:

The mode of the given data set.

Solution:

We have,

87, 84, 85, 85, 86, 90, 79, 82, 78, 76

Arrange the data values in the ascending order.

76, 78, 79, 82, 84, 85, 85, 86, 87, 90

We know that the mode of date set is the most frequency value of the data set.

From the above data set it is clear that the number 85 has the highest frequency 2.

Therefore, the mode of the data set is 85.

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Solve the inequality 10(z + 3) ≥ 10z + 19
fredd [130]

<u>Question: Solve the inequality 10(z + 3) ≥ 10z + 19.</u>

<u />

<em>Answer:</em>  <em>The answer to your question is "All Real Numbers". Please see the attachment below for all the steps provided. Since 0≥-11, this means that, "All Real Numbers; [Numbers greater or equal to 1] are going to be greater than -11. Thus, meaning that the answer is </em><em>All Real Numbers.</em>

<em />

<em>Feedback: Please give me a heart or mark us as the brainliest of this question! If you need any further help, please feel free to leave a comment to this answer or message me on instagram: @jessmyybest</em>

5 0
3 years ago
ZARA'S DAD IS 6 TIMES OLDER THAN ZARA. THE PRODUCT THEIR AGE IS 150 YEARS. CALCULATE THEIR RESPECTIVE AGES
Masteriza [31]

Answer:

Zara = 5
Her Dad = 30

Step-by-step explanation:

Lets say Zara's age is "z"
So, her dad's age must be 6 x z = 6z
As its given that there product is 150 so we can also write it as :

z x 6z = 150
6z to the power 2 = 150
z to the power 2 = 150 divided by 6
                            = 25
So, z = 5
So Zara's age is 5 so her dad's age must be 30

3 0
1 year ago
you deposit 1000 in savings account that earns .5% each month assuming you do not deposit or withdraw any money from the account
ikadub [295]

Answer:

$1015.11

Step-by-step explanation:

Compounded interest rate formula: A = P(1 + r/n)^t

Step 1: Plug in known variables

A = 1000(1 + 0.005/12)^36

Step 2: Multiply it all together

1000(1.00042)^36

1000(1.01511)

1015.11

This is a pretty bad bank considering only giving you .5% interest per month.

7 0
3 years ago
Isotope mass (amu) abundance (%) 1 203.97304 1.390 2 205.97447 24.11 3 206.97590 22.09 4 207.97665 52.41 find the atomic mass of
Nata [24]
Answer:
average atomic mass = 207.2172085 amu

Explanation:
To get the average atomic mass of an element using the abundance of its isotopes, all you have to do is multiply each isotope by its percentage of abundance and then sum up all the products.

For the question, we have:
203.97304 amu has an abundance of <span>1.390% (0.0139)
</span>205.97447 amu has an abundance of 24.11% (0.2411)
206.97590 amu has an abundance of 22.09% (0.2209)
207.97665 amu has an abundance of 52.41 % (0.5241)

The average atomic mass can be calculated as follows:
average atomic mass = 203.97304(0.0139) + 205.97447(0.2411)
                                     + 206.97590(0.2209) + 207.97665(0.5241)
average atomic mass = 207.2172085 amu

Hope this helps :)
7 0
3 years ago
Work out the size of the angle marked x​
natali 33 [55]

Answer:

X=60

Step-by-step explanation:

Sum of the Quadrilateral interior angles:360

360-70-130-100=60

8 0
3 years ago
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