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GuDViN [60]
2 years ago
9

What is the slope of the line that passes through the points (2,8) and (1, 13)?

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
8 0

Answer:

The slope is -5

Step-by-step explanation:

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if the scale on a map is inches/miles = 1/50, find the following actual distances: 2.5 inches, 4.75 inches, and 7.6 inches.
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2 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)

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2 years ago
Help? I have no idea...
garri49 [273]
Since the order is (x,y) it would be..
A translation by 5 units right.
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3 years ago
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