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Aleks [24]
2 years ago
5

Kirti knows the following information from a study on cold medicine that included 60 participants: 30 participants in total rece

ived cold medicine. 26 participants in total had a cold that lasted longer than 7 days. 14 participants received cold medicine but had a cold that lasted longer than 7 days. Can you help Kirti organize the results into a two-way frequency table?

Mathematics
1 answer:
GalinKa [24]2 years ago
4 0
The frequency table is attached.

Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.

Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.

14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.

30-14=16 people received medicine and had a cold less than or equal to 7 days.

30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.

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The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. Which graph represents g(x)?
levacccp [35]
<span>The graph would be translated 5 units right and 1 unit up, giving an upward facing parabola with a vertex at (5, 1).

Explanation:
Since 5 was subtracted from x before it was squared, this means a horizontal translation 5 units. Since it was subtracted, this means it was translated right 5 units.

The 1 added at the end means it was translated 1 unit up as well.

This is in vertex form, y=a(x-h)^2 + k, where (h, k) is the vertex; h corresponds with 5 and k corresponds with 1, so the vertex is at (5, 1).</span>
6 0
2 years ago
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Acquarium workers are making a mixture of salt water. The desired ratio is 90 grams of salt per liter of water. What is the rati
Sophie [7]

Answer: 12.07 ounce/gallon.

Step-by-step explanation:

given data:

desired ratio = 90grams / liter of water.

ratio In ounce/ gallon

first we convert our grams to ounce

= 98grams / 28.35

= 3.175 ounce.

converting liter to gallons

= 1/3.8

=0.263 gallons

therefore;

= 3.175 ounce / 0.263 gallons

= 12.07 ounce/gallon.

6 0
2 years ago
About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum
Zigmanuir [339]
The answer is 359,572
8 0
2 years ago
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You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man
Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.  

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials =\frac{3}{7}

and probability of my friend's winning is  =1-\frac{3}{7}=\frac{4}{7}  

Let there be n numbers of trials.

Therefore, my score after n trials =\frac{3n}{7}

and my friend's score after n trials   =\frac{4n}{7}

Now, the number of trials my friend won more than me is

\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

\frac{n}{7}=5\\n=7\times5=35

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win \frac{3\times 35}{7}=15 trials

and my friend will win \frac{4\times 35}{7}=20  trials.

Hence, my friend won 5 more trials than me.

3 0
2 years ago
You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for
kotegsom [21]

Answer:

q(p)= -3000p+12000

Step-by-step explanation:

For the function to be linear,

q(p)= mp + c

where

q(p): number of hamburgers sold

p: price per hamburger

m: gradient of the function

c: constant of the function

q(p)=6000 when p=2

6000=2m+c .................... equation I

0=4m+c

c=-4m........................ equation II

Substitute value of c in equation I

6000=2m-4m

m= -3000

c=12000

q(p)= -3000p+12000

6 0
2 years ago
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