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Ivahew [28]
3 years ago
6

A lenght of wire is bent to make a square of side 3.2 cm a: what is the length of wire in the square B: if the wire is silver co

sting 50 naira per centimetre what is the cost of the square C: 20 of the squares are linked together to make a necklace what does it cost to make the necklace
Mathematics
1 answer:
Korvikt [17]3 years ago
3 0

Answer:

12.8cm

640 naira

12,800 naira

Step-by-step explanation:

length of the wire is equal to the perimeter of a square

perimeter of a square = 4 x length

4 x 3.2 = 12.8 inches

cost of the square = length of the wire x 50

12,8 x 50 = 640

20 x 640 = 12800

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Answer:

We conclude that cheddar popcorn weighed less than 5.5 ounces.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =5.5 ounces

Sample mean, \bar{x} = 5.23 ounces

Sample size, n = 64

Alpha, α = 0.05

Sample standard deviation, σ = 0.24 ounce.

First, we design the null and the alternate hypothesis

H_{0}: \mu = 5.5\text{ ounces}\\H_A: \mu < 5.5\text{ ounces}

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{5.23 - 5.5}{\frac{0.24}{\sqrt{64}} } = -9

Now, z_{critical} \text{ at 0.05 level of significance } =-1.645

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.

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