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larisa86 [58]
2 years ago
9

How many groups of 2/3 are in 3/5

Mathematics
1 answer:
amid [387]2 years ago
5 0

To find the answer, we will need to divide 3/5 by 2/3.

3/5 / 2/3

3/5 x 3/2

9 / 10

There are 9/10 groups of 2/3 in 3/5.

Hope this helps!! :)

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According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on ave
ki77a [65]

Answer:

The value of test statistics is 1.06.

Step-by-step explanation:

We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.

We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.

Let, NULL HYPOTHESIS, H_0 : \mu = 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}

ALTERNATE HYPOTHESIS, H_1 : \mu > 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}

The test statistics that will be used here is One-sample t-test;

             T.S. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean amount of time per month each teenager watched social media posts = 15.6 hours

             s = sample standard deviation = 2.5 hours

             n = sample of teenagers = 11

So, <u>test statistics</u> =  \frac{15.6 - 14.8}{\frac{2.5}{\sqrt{11} } } ~ t_1_0

                            = 1.06

Hence, the value of test statistics is 1.06.

5 0
3 years ago
Can someone answer this question please (picture)
erik [133]

Answer:

31.5 units^2

Step-by-step explanation:

Rectangle area (RA) = l × w

Triangle area (TA) = (bh)/2

RA = 3 × 7

RA = 21

TA = (7 × 3)/2

TA = 21/2

TA = 10.5

(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)

Add areas together

21 + 10.5 = 31.5

7 0
3 years ago
14 is 7 times a number c
Stolb23 [73]

Answer:

c = 2

Step-by-step explanation:

From the statement we have that If 14 is 7 times a number c, we can write the following equation:

7c = 14. Solving for c, we have:

c = 14/7 = 2

3 0
2 years ago
Find the inverse of the following function:
tigry1 [53]
First, we are going to find the inverse function of f(x) by replacing f(x) with y, and then, interchanging x and y and solving for x:
y=-2 \sqrt{3x-1} -5
x=-2 \sqrt{3y-1} -5
-2 \sqrt{3y-1} =x+5
\sqrt{3y-1} = \frac{x+5}{-2}
3y-1=( \frac{x+5}{-2} )^{2}
3y=( \frac{x+5}{-2} )^{2} +1
y= \frac{( \frac{x+5}{-2})^{2}+1  }{3}

Next we are going to evaluate our inverse function at x= \frac{1}{3}:
y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1  }{3}
y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1  }{3}
y= \frac{(- \frac{8}{3})^{2}+1  }{3}
y= \frac{ \frac{64}{9}+1 }{3}
y= \frac{ \frac{73}{9} }{3}
y= \frac{73}{27}

We can conclude that the inverse function of f(x)=-2 \sqrt{3x-1} -5 when x= \frac{1}{3} is \frac{73}{27}

5 0
3 years ago
Find the sum 32.330 + 23.559
Pepsi [2]

The answer is 55.889

3 0
2 years ago
Read 2 more answers
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