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3 months ago

Write the expression in Standard form.

Mathematics

1 answer:

nydimaria [60]3 months ago

6 0

i√5

steps:

negative square root is called a complex number

for a negative square root standard form means have an i in the number

i = √-1

standard form for a complex number is

a+bi

√-5 = √5 x √-1

i√5

michael lipp

brian mclogan

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4 the

Step-by-step explanation:

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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)

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2 years ago

Please help quickly, Thanks!

Luda [366]

Answer:

A - 5/6

Step-by-step explanation:

-5/7 ÷ 6/7

Copy dot flip

-5/7 * 7/6

Rearrange to make the math easier

-5/6 * 7/7

-5/6

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3 years ago