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3 years ago

Find the length of the apothem of a regular Pentagon with a side measuring 36 cm

Mathematics

1 answer:

Dovator [93]3 years ago

5 0

See image below for explained answer

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Could someone explain things like radicals with variables that are raised to powers. plz,

Setler79 [48]

When radicals (square roots) include variables, they are still simplified the same way. We just have to work with variables as well as numbers

1) Factor the radicand (the numbers/variables inside the square root). Factor the number into its prime factors and expand the variable(s).

2) Bring any factor listed twice in the radicand to the outside

5 0

2 years ago

A random sample of 64 bags of white cheddar popcorn weighed, on average, 5.23 ounces with a standard deviation of 0.24 ounce.

emmasim [6.3K]

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.

3 0

3 years ago

At a bargain store, Tanya bought three items that each cost the same amount. Tony bought four items that each cost the same amou

djverab [1.8K]

Each of Tony’s items are $7.65
Each of Tanyas items are $10.2

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2 years ago

timothy bought 12 of his cars to the babysitters. these toy cars represent 30% of his toy car collection. what is the total numb

omeli [17]

If 30% of his collection is 12 cars, then we can use the fraction

30/12=100/x

x=40

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3 years ago

How can sample data be used to from an estimate about the population?

dsp73

Answer: A proportion can be solved to relate the sample to the population and solved to form an estimate.

Step-by-step explanation:

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2 years ago