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Nastasia [14]
3 years ago
15

(SAT Prep) Find the value of x.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Step-by-step explanation:

Both the angles will sum up to 180° as they are adjoint angles.

3x+2x= 180°

5x=180°

x=180°/5

x=36°

[Extra:- 3x=3×36=108° and 2x=2×36=72° 5x=108°+72°=180°]

Hope this helps you .

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Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
liberstina [14]

The product of the frequency and PlayCount gives the number of songs

played from the information in the histogram.

Correct responses (rounded to the nearest whole integer)

1. 2%

2. 27 PlayCount per song

3. 68%

<h3>How does one analyze an histogram?</h3>

1. The given data from the histogram is presented in a tabular form as follows;

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]

The percentages of song that where played over 100 times is given as follows;

∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651

Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36

  • Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}

2. Mean of a frequency distribution is given as follows;

Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}

Where;

x = The PlayCount

From MS Excel, we have;

∑f·x = 44410

Which gives;

  • Mean = \dfrac{44410}{1651}   \approx \underline{27}

3. Number of songs played less than 20 times = 899 + 224 = 1,123

  • \mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651}  \times 100 \approx \underline{ 68 \%}

Learn more about percentages and histograms here:

brainly.com/question/10491646

brainly.com/question/1413492

6 0
2 years ago
The cost of your new contact lenses is $200. If you left 25% deposit upon
Contact [7]

Answer: Remaining balance is $150

Step-by-step explanation:

Contact lens= $200

25% of the amount was paid

= 25/100 × 200 = $50

Out of $200 of contact lens, $50 was paid as deposit, subtract $200 from $50 to give balance.

$200 - $50 = $150

I hope this helps.

8 0
3 years ago
Sally brought a 1 quart container of buttermilk to make pancakes. Her recipe says to use 1/2cups Of butter milk for 3 pancakes.
GrogVix [38]

Answer:

24

Step-by-step explanation:

Quart is a volume unit, equal to a quarter of a gallon. The symbol is "qt"

A quart container is equivalent to 4 cups.

a pancake need only 1/2 cup of butter milk.

We use a rule of three.

if 1/2 cup can make 3 pancakes.

How many pancakes 4 cups can make?

\frac{4*3}{\frac{1}{2} }=24

We only have to multiply the 4 cups of butter milk by the 3 pancakes and the divide it by the 1/2 cup you need to make only 3 pancakes.  

3 0
3 years ago
Melody had $45. She spent $32.75 on a blouse. Then her mother gave her $15.50. How much money does Melody have now?
Ierofanga [76]
Melody has $27.75 you just subtract 45.00 and 32.75 and get 12.25 then you add 15.50 and get 27.75
4 0
3 years ago
Read 2 more answers
Susie is having a party with 6 guest she wants to feed everyone sandwiches if Susie but 1/2 pound of cheese how many cheese woul
bixtya [17]

Answer: 3

Step-by-step explanation:

Take the 6 guests and the 1/2 pound I cheese and multiply. 6×1/2 is 3!

7 0
3 years ago
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