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3 years ago

Find the approximate circumference of a circle with a diameter of 100 yards.

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Answer:

D. 314 yds

Step-by-step explanation:

Given:

Diameter = 100 yds

Required;

Circumference of the circle

Solution:

Circumference of circle = πd

Plug in the value

Circumference = π × 100

= 314 yds (nearest whole number)

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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

Shtirlitz [24]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption of microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Here, null hypothesis states that the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, alternate hypothesis sates that the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0

3 years ago

Find the product. 3cd^2(6cd + 14cd^2)

klasskru [66]

3cd^2(6cd + 14cd^2)
18cd^3 + 42cd^4

5 0

3 years ago

(that's a line by the 2 not a 12) PLS HELPP

valina [46]

Answer:

x lessthen or equel to 3/2

Step-by-step explanation:

3 0

3 years ago

A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?

miss Akunina [59]

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

5 0

2 years ago

Simplify square root of five times the quantity ten minus four square root of two. 14 fifteen square root of two five square roo

Vinvika [58]

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√5 x (10 - 4√2)

Multiply the value outside the bracket by everything inside:

10√5 - 4√10

Thus, your answer is ten square root of five minus four square root of 10

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3 0

3 years ago

Read 2 more answers