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faust18 [17]
2 years ago
10

In △WXY , WX=14.1 inches, WY=7.8 inches, and m∠W=52∘ .

Mathematics
1 answer:
Ghella [55]2 years ago
8 0

Answer:

  43.3 square inches

Step-by-step explanation:

Given two sides <em>a</em> and <em>b</em> and the angle α between them, the area of the triangle can be computed as ...

  A = (1/2)ab·sin(α)

Putting the given values into the formula gives ...

  A = (1/2)(14.1 in)(7.8 in)sin(52°) ≈ 43.3 in²

The area of the triangle is about 43.3 square inches.

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.
Mashcka [7]
I think there are 125 heart stickers and 375 star stickers. 20/4 = 5, so there are 5 heart stickers per sheet. there are 25 sheets in the package, 5 x 25 = 125. if the remaining stickers on a sheet are stars then there are 15 star stickers per sheet. 15 x 25 = 375.
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2 years ago
Sarah buys a new bike. The total cost of the bike including taxes is $349. She pays $100 down and then agrees to pay the balance
OlgaM077 [116]

The amount of each of the 6 payments will be $41.50

Step-by-step explanation:

Given,

Cost of bike including taxes = $349

Down payment = $100

Amount left to pay = Cost of bike - Down payment

Amount left to pay = 349 - 100

Amount left to pay = $249

She agrees to pay in 6 equal payments, therefore, we will divide the total amount to pay by 6.

Amount to pay for one month = \frac{Amount\ left\ to\ pay}{No.\ of\ months}

Amount to pay for one month = \frac{249}{6} = \$41.50

The amount of each of the 6 payments will be $41.50

Keywords: division, subtraction

Learn more about subtraction at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

5 0
2 years ago
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