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DerKrebs [107]
3 years ago
5

The table below shows the results of a random sample of 160 teenagers. Based on the information given which of the following sta

tement are true? Select all that apply

Mathematics
2 answers:
Karolina [17]3 years ago
7 0

Answer:

I would say that it is all of them besides the 35% of the participants do not like to surf.

Sonja [21]3 years ago
3 0
<h2>Answer:</h2>

The correct statements are:

  •  66% of the participants were boys.
  • 80/105 of the boys like to surf.
  • 10/35 of the participants who do not like to surf were girls.
<h2>Step-by-step explanation:</h2>

A)

The total number of students who were studied= 160

Number of boys= 105

Hence, Percentage of boys is calculated as:

Percent\ Boys=\dfrac{105}{160}\times 100\\\\i.e.\\\\Percent\ Boys=\dfrac{1050}{16}\\\\\\Percent\ Boys=65.625\\\\which\ is\ approximately\ equal\ to:\\\\Percent\ Boys=66\%

B)

Number of students who like to surf=125

Hence,

Percent who like to surf is calculated as:

=\dfrac{125}{160}\times 100\\\\\\=\dfrac{1250}{16}\\\\=78.125\%

C)

Number of boys=105

and number of boys who like to surf=80

Hence, the proportion of boys who like to surf is:

80/105

D)

Number of people who do not like to surf=35

Number of girls who do not like to surf=10

Hence,the proportion of girls who do not like to surf is:

              10/35

E)

Proportion of boys who like to surf=80/105=0.76190

and proportion of boys who like to surf= 45/55=0.8181

Hence, the proportion of girls who like to surf are more than those of boys who like to surf.

(  Since,   0.8181 < 0.76190 )

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Answer:

{1,2,3}

Step-by-step explanation:

The others will not show all the numbers from the set to make the inequality true

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2 years ago
The football team has a total of 350 jerseys there are 154 medium-sized jerseys. What percent of the jerseys are​ medium-sized j
Lena [83]

Answer:

44% of the jerseys are medium sized.

Step-by-step explanation:

Total jerseys football team has = 350

Medium-sized jerseys = 154

We need to find what percent of the jerseys are​ medium-sized jerseys.

The formula used will be: Percent\:of\:medium\:size\:jerseys=\frac{Medium\:size\:jerseys}{Total\:jersey}\times 100

Putting values and finding percentage

Percent\:of\:medium\:size\:jerseys=\frac{Medium\:size\:jerseys}{Total\:jersey}\times 100

Percent\:of\:medium\:size\:jerseys=\frac{154}{350}\times 100\\Percent\:of\:medium\:size\:jerseys=0.44\times 100\\Percent\:of\:medium\:size\:jerseys=44\%

So, 44% of the jerseys are medium sized.

6 0
3 years ago
The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it
SpyIntel [72]

The equation of the new function is g(x)= cos4 x+1

Explanation:

The Parent function is f(x)=cos x

We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.

The function transformation formula is given by

f(x)=a \cos b(x-c)+d

Where a stretches the function vertically

b compresses or stretches it horizontally,

c shifts the function left or right

d shifts the function up or down

Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.

Hence, b=4 and d=1

Substituting these values in the formula, we have,

g(x)=cos4x+1

Thus, the equation of the new function is g(x)= cos4 x+1

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3 years ago
Line L is perpendicular to a line with slope -5 and passes through (2, -2). Find an equation of line L and write the answer in t
irina [24]

Answer:

y=1x +8

5

Step-by-step explanation:

y-y1 = m(x-x1)

y+2 = -5(x-2)

y+2 = -5x + 10

y = -5x +8

Now to find line L we have to change the slope because it is perpendicular

y= 1x +8 (The slope is one fifth, but idk

5. to put it, I'm sorry)

4 0
3 years ago
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