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Monica [59]
3 years ago
11

Can someone please explain to me step by step how to solve this problem. 4y-(3+y);y=2

Mathematics
2 answers:
k0ka [10]3 years ago
7 0

Answer:

3

Step-by-step explanation:

Step 1: Since it tells you that y=2, plug it into the equation (meaning replace the y's in the equation with 2)

<u>4</u><u>y</u><u>-(3+</u><u>y</u><u>)</u>

<u>4(</u><u>2</u><u>)-(3+</u><u>2</u><u>)</u>

Step 2: Solve.

<u>8 - 5 = </u>

<h2><u>3</u></h2>

<u></u>

avanturin [10]3 years ago
5 0

Answer:

The answer is 3

Step-by-step explanation:

Plug in 2 for all the y variables and solve:

4(2)-(3+2)=

8-5=3

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The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
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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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