Please solve these three questions on ratios.

1 answer:

4 0

Question 1:

Connor : Patrick = 8 : 9
Total Parts = 8 + 9 = 17
17 parts = 153 kg

Find 1 parts:
1 part = 153 ÷ 17 = 9kg

Find 8 parts:
8 parts = 8 x 9 = 72kg

Find 9 parts:
9 parts = 9 x 9 = 81 kg

Connor : Patrick = 8 : 9 = 72kg : 81 kg

81 - 72 = 9kg

Answer: Partick is 9 kg heavier than Connor.

Question 2:

Tim and Savannah = 1 : 2
2 parts = 50 sweets

Find 1 part :
1 part = 50 ÷ 2 = 25

Answer: Tim gets 25 sweets

Question 3:

Holly : Wei Kong : Wilfred
6 : 3 : 1

Total Parts = 6 + 3 + 1 = 10
10 parts = ⇒£850

Find 1 part :
1 part = £850 ÷ 10 = £85

Find 6 parts :
6 parts = £85 x 6 = £510

Answer: Hollie receives £510

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In a poll conducted by the Gallup organization in April 2013, 48% of a random sample of 1022 adults in the U.S. responded that t

shutvik [7]

Answer: 95% confidence interval would be (0.449, 0.511)

Step-by-step explanation:

Since we have given that

n = 1022

p = 48% = 0.48

We need to find the 95% confidence interval first.

z = 1.96

Margin of error would be

$z\sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.48\times 0.52}{1022}}\\\\=0.031$

95% confidence interval would be

$p\pm 0.031\\\\=(0.48-0.031,0.48+0.031)\\\\=(0.449,0.511)$

It means true proportion who felt that economic growth is more important than protecting the environment is within 0.449 and 0.511 using 95% confidence.

4 0

3 years ago

Convert 3/50 to a decimal

Marta_Voda [28]

Step 1

Convert the proper fraction to a decimal by using long division to divide the dividend(3)(numerator) by the divisor(50)(denominator)

Hence 3/50 in decimal = 0.06