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Sauron [17]
3 years ago
10

Which expression can be written as k square root 3 where k is an integer

Mathematics
1 answer:
Damm [24]3 years ago
8 0

Answer:

A simple expression is \sqrt{48} = 4\sqrt{3}

Step-by-step explanation:

Surds are irrational numbers expressed with respect to a square root. There are some basic rules required when dealing with surd.

Integers are numbers that do not have a decimal or fractional part i.e whole numbers. So, a simple expression that can be written as k square root 3 where k is an integer is \sqrt{48}.

So that,

                            \sqrt{48} = \sqrt{16 * 3}

                                   = 4\sqrt{3}

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Given right triangle ABCABC with altitude \overline{BD}
mixer [17]

Answer:

                                                                               

Step-by-step explanation:

3 0
2 years ago
Two angles are alternate interior angles. One has a measure of 85°. What is the measure of the other angle?
fiasKO [112]

I thought they would be the same so I would go with B. 85

3 0
3 years ago
Please help I don’t know the answer
Katyanochek1 [597]

Answer:

x= -36/5, which is also -7.2

Step-by-step explanation:

you can solve this equation by multiplying both sides of the equation by -6/5

hope it helps

5 0
2 years ago
Read 2 more answers
The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
Ilia_Sergeevich [38]

Answer:

(0.0757;0.1403)

Step-by-step explanation:

1) Data given and notation

Republicans =115

Democrats=331

Independents=54

Total= n= 115+331+54=500

\hat p_{ind}=\frac{54}{500}=0.108

Confidence=0.98=98%

2) Formula to use

The population proportion have the following distribution

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

The confidence interval for the population proportion is given by this formula

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

We have the proportion of independents calculated

\hat p_{ind}=\frac{54}{500}=0.108

We can calculate \alpha=1-conf=1-0.98=0.02

And we can find \alpha/2 =0.02/2=0.01, with this value we can find the critical value z_{\alpha/2} using the normal distribution table, excel or a calculator.

On this case z_{\alpha/2}=2.326

3) Calculating the interval

And now we can calculate the interval:

0.108 - 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.0757

0.108 + 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.1403

So the 98% confidence interval for this case would be:

(0.0757;0.1403)

7 0
3 years ago
Am I correct?? HELP!!
lesya [120]
8 would be B.
The ratio is 1:5, so the answer has to be a division of 5.
15*5 does not equal 90, but 18 does. 

9 is correct.
7 0
3 years ago
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