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3 years ago

15

Solve for x 2/3=x/4

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1 answer:

balandron [24]3 years ago

3 0

To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

4 x 2 = 8
8 / 3 = 2.66

So, x is 2.66

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If 2/3 of a cup of pancake mix makes 6 pancakes. How much will 3 1/3 cups of pancake mix, how many pancake does it make?

sergey [27]

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5X6=30
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klemol [59]

Answer:

C. 1.75

Step-by-step explanation:

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7 divided by 4

1.75

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How many times larger is 3x10^8 than 3x10^2

muminat

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3 years ago

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

Need help with this question!!

Ludmilka [50]

Hey!!

How do you find slopes?

Ans - In order to find slop, we will need to use the slop formula which is

( y₂ - y₁ ) / ( x₂ - x₁ )

Now let's take two points on the graph

I will take the points ( -1 , 0 ) and ( 1 , 2 )

Now let's plug in these values :

y₂ = 2 , y₁ = 0 and x₂ = 1 and x₂ = -1

( 2 - 0 ) / ( 1 + 1 )

2 / 1

Hence, the slope is 2

Hope my answer helps!!

5 0

3 years ago