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Shtirlitz [24]
3 years ago
10

Evaluate the expression when x=1/2 and y=-5

Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Answer:

Step-by-step explanation:

what is the expression?

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A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 458 likely voters, 254
Phantasy [73]

Answer:

\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }

=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }

=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }

=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }

=0.5546\pm1.96*\sqrt{0.00053934}

=(0.5091,0.6001)

Lower limit for confidence interval=0.5091

             

Upper limit for confidence interval=0.6001

Step-by-step explanation:

We have given,              

             

x=254          

n=458          

Estimate for sample proportion= \bar p = 0.5546

Level of significance is =1-0.95=0.05      

Z critical value(using Z table)=1.96      

Confidence interval formula is

\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }

=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }

=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }

=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }

=0.5546\pm1.96*\sqrt{0.00053934}

=(0.5091,0.6001)

Lower limit for confidence interval=0.5091

             

Upper limit for confidence interval=0.6001

8 0
3 years ago
Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value t
Feliz [49]

Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.

<h3>When should the t-distribution and the z-distribution be used?</h3>
  • If we have the standard deviation for the sample, the t-distribution should be used.
  • If we have the standard deviation for the population, the z-distribution should be used.

In this problem, σ is not​ known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.

Using a t-distribution calculator, considering a <em>confidence level of 99​%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.

More can be learned about the t-distribution at brainly.com/question/16162795

4 0
2 years ago
Mr. Scott had $90 to spend at the hockey game. He spent 31/45 on his ticket. Then he spent 3/7 of his remaining money at the con
postnew [5]
31/45 of 90 leaves him with 62. 3/7 of 62 makes 26.5 so yes he have money left to buy the hat
7 0
3 years ago
Question in photo. Please explain as well
il63 [147K]

Answer:

It's option D. $24.900.00

Step-by-step explanation:

new car costs -----> $19,910.00

Stephen also has to pay 17.25% in taxes based off the cost of the car. This means he has to pay 17.25% of $19,910.00

= (17.25 / 100) × 19,910.00

= 0.1725 × 19,910.00 = $3434.475

The cost of taxes he has to pay is $3434.475

If he also purchases an extended warranty for $900.00

= $3434.475 + $900.00 = $4334.475

Now the questions asks us what is a reasonable estimate for the total price of the car? This means that we are looking for the actual cost of the new car + cost of tax + cost of extended warranty.

Total cost = $19,910.00 + $3434.475 + $900.00 = $24244.475

After looking at your answer choices the closest to this solution is option D.

4 0
3 years ago
BRAINLIEST AWARD ASAP!!!!
Gnesinka [82]

Answer:

3.04

Step-by-step explanation:

4 0
3 years ago
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