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OlgaM077 [116]
3 years ago
10

In Science Class, Sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other

two experiments required the same number of test tubes. How many test tubes were need for each of the other two experiments l?
Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

Each\ of\ other\ two\ experiments\ required\ 3\ test\ tubes.

Step-by-step explanation:

Let\ each\ of\ other\ experiment\ requires\ x\ test\ tube\\\\Total\ number\ of\ test\ tubes\ needed=8\\\\Test\ tubes\ used\ in\ the\ experiments=sum\ of\ number\ of\ test\ tubes\ in\ each\ experiment\\\\Test\ tubes\ used\ in\ the\ experiments=2+x+x\\\\2+x+x=8\\\\2+2x=8\\\\Subtract\ 2\ from\ both\ sides\\\\2+2x-2=8-2\\\\2x=6\\\\divide\ both\ sides\ by\ 2.\\\\x=3

Each\ of\ other\ two\ experiments\ required\ 3\ test\ tubes.

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An intelligence test that has a maximum completion time of 45 minutes was recently administered to a group of 9 people. Their re
Ede4ka [16]

Answer:

a) \bar X=39.9

b) Median =40

c) Bimodal distribution 40,45 with a frequency of 2 for each one

Step-by-step explanation:

Part a

The statistical mean refers "to the mean or average that is used to derive the central tendency of the data in question. It is determined by adding all the data points in a population and then dividing the total by the number of points". And is defined:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

And for this case if we apply this formula we got:

\bar X =\frac{45+40+42+39+44+40+45+33+21}{9}=39.9

Part b

The median is a "measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. And we have two possible cases:

1) If there is an odd number of observations, the median is the middle value. 2) If there is an even number of observations, the median is the average of the two middle values."

So if we order the dataset we got:

31,33,39,40,40,42,44,45,45

Since we have an odd number of observation n=9, the median would be just the middle value on position 5 and for this case Median =40

Part c

The mode of a set of data values is the value that appears most often. As a set of data can have more than one mode, the mode does not necessarily indicate the centre of a data set.

For this case we have a bimodal distribution and the corresponding values are 40 and 45 with a frequency of 2 for each one.

8 0
3 years ago
What are the x-intercepts of the function f(x)=0.5x^2+2x-6
Darya [45]

Answer:

(2,0) (-6,0)

Step-by-step explanation:

Solve: 0.5x^2+2x-6=0

The answer you get is:

x=2, x=-6

3 0
3 years ago
X + y = 15<br>5x - y = 9<br>Elimination method <br><br>(4, ? )<br><br>what number is the ?​
vovangra [49]
The ? Is 11.


You add the equations to get rid of one variable, then you have 6x=24 then you divide both sides and you have x=4, then you substitute the given value of x and you are left with 5*4 - y = 9. And the solution or well possible solution is y = 11 which gives youuuuu. (x , y) = (4 , 11)
4 0
3 years ago
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To train for a bike race, Sandi rode her bike a total of 16 miles each day. Brian was training for the same race, but only rode
MaRussiya [10]
So the first thing you're gonna wanna know is how many miles Brian is riding per day so
16/2= 8

Then you'll want to do the following steps

16 × 5 = 80

8 × 5 = 40


80-40 = 40

Sandi rode 40 more miles then Brian in five days

Hope this helped!
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Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits
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Answer:

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3

8 0
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