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3 years ago

Tom is trying to write 3/47 as a decimal.

2 answers:

8 0

Disagree. A rational number is any number that can be written as a fraction of two integers. Tom wrote 3/47, and both 3 and 47 are integers. Just because the decimal has not yet terminated doesn’t mean that the number he is looking at is irrational.

Mrac [35]3 years ago

7 0

Answer:

i have the same thing idk

Step-by-step explanation:

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In triangle ABC, BD bisects Angle ABC and AD is similar to CD. Tell what kind of triangle ABC must be

Anestetic [448]

A right triangle. Hope this helps.

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3 years ago

What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?

CaHeK987 [17]

Answer:

64π m³

Step-by-step explanation:

The general formula for the volume of a cylinder:

V = πr²h, where 'r' is the radius and 'h' is the height

In the given problem, the radius is equal to 4 m and the height is equal to 4 m. Plugging these values into the equation:

V = π4²(4) = π16*4 = 64π m³

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3 years ago

Jane has a 5 × 7-inch photograph that she wants enlarged to a 10 × 14-inch photograph. What is the scale factor from the origina

Vladimir79 [104]

I think that the answer is 2, because if you multiply two by each factor in the original photograph then you get the size of the new photograph.

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3 years ago

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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.

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3 years ago

Vertex of x^2-10x+30

Shtirlitz [24]

The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.

Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30

Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25

Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.

Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).

3 0

3 years ago

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