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sergey [27]
1 year ago
12

Rationalize the denominator !!!

Mathematics
2 answers:
sashaice [31]1 year ago
5 0

Answer:

x = 4, y = 3, z = 13

Step-by-step explanation:

Multiply the equation by the opposite of the denominator

\frac{(1)(4 + \sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3} ) } \\\\\frac{4 + \sqrt{3} }{16 - 4\sqrt{3} +4\sqrt{3} -3} \\\\= \frac{4+\sqrt{3} }{13}

satela [25.4K]1 year ago
4 0

Answer:

\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\

1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}

\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13

= \frac{4+\sqrt{3}}{13}

x = 4

y = 3

z = 13

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The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean tempera
Bond [772]

Answer:

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Step-by-step explanation:

From the given information, we are being told that:

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F

i. e  mean  μ = 42

The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

From above;

The null and the alternative hypothesis can be computed as:

\mathbf{H_o : \mu  = 42} \\ \\ \mathbf {H_1 : \mu \neq 42}

Here , the hypothesis test of the claim is the alternative hypothesis.

The conclusion based on the decision rule:  is to reject the null hypothesis

∴

The conclusion in non technical terms is that :

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

4 0
3 years ago
Is the relation a function?
Margaret [11]
No; a domain value has two range values.

x = -2 then y = 1 and 2

they would form a vertical line, which tells us that it's not a function
8 0
3 years ago
The shapes in this question are drawn on a centimetre grid.
xenn [34]

Answer:

A. 12 centimeters B. 4 centimeters C. 20 centimeters

Step-by-step explanation:

To find area you need to do the Height time the Length.

For A it is 3x4

For B it is 4x1

And for C it is 4x5

You get this equation by multiplying the amount of squares that the Height and Length measured!

Hope this helped!

:DD

8 0
2 years ago
Read 2 more answers
Please help me I DO NOT UNDERSTAND
stepladder [879]
Are they asking for the surface area?
8 0
2 years ago
15. Work out the<br> area of a<br> rectangle with<br> sides 3.4cm and<br> 4.5cm
pav-90 [236]

Area is length times width so

A = 4.5*3.4 which is 15.3.

The area of the rectangle is 15.3 cm

3 0
2 years ago
Read 2 more answers
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