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faust18 [17]
3 years ago
15

The equation p=1.7t^2+18.75t+175 approximates the average sale price p of a house (in thousands of dollars) for years t since 20

10. What is the best estimate for the price of the house in year 2020?
A. $434,000

B. $481,000

C. $533,000

D. $587,000
Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0
The estimation is 533,000 dollars.

Hope I didn't mess up for your sake
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Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles p
maxonik [38]

Answer: option B is the correct answer.

Step-by-step explanation:

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip.

Time = distance/speed

This means that time spent by Susan in travelling the first 30 miles would be

Time = 30/30 = 1 hour

He travelled at an average speed of 60 miles per hour for the remaining 30 miles of the trip.

Time = 30/60 = 0.5 hours

Total distance travelled is 30 + 30 = 60 miles.

Total time spent = 1 + 0.5 = 1.5 hours

Speed = distance/time

Average speed = 60/1.5 = 40 miles per hour.

7 0
3 years ago
If sin theta = 12/13 and theta is an acute angle find cot theta
zhenek [66]
3 Rd side would be
13sq=12sq+xsq
Xsq=169-144
X=5
Cot theta = adj side/opp side= 5/12
4 0
3 years ago
Read 2 more answers
Lisa starts a different business account that pays simple interest every 1 point
nadezda [96]

Answer:

Interest rate=9%

Step-by-step explanation:

Interest rate=$3150×100%/$35000×1

Rate=315000/35000=9%

3 0
2 years ago
What two expressions are equivalent to 6.5 divided by 1.3?
OLEGan [10]

Answer:

65/13

650/130

Step-by-step explanation:

6.5/1.3

times 10: 65/13

times 100: 650/130

3 0
2 years ago
TDaP is a booster shot that prevents Diphtheria, Tetanus, and Pertussis in adults and adolescents. It should be administered eve
tiny-mole [99]

Answer:

Yes. There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

P-value = 0.00013.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (Group 1), of size n1=145 has a proportion of p1=0.124.

p_1=X_1/n_1=18/145=0.124

The sample 2 (Group 2), of size n2=355 has a proportion of p2=0.037.

p_2=X_2/n_2=13/355=0.037

The difference between proportions is (p1-p2)=0.088.

p_d=p_1-p_2=0.124-0.037=0.088

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{18+13.135}{145+355}=\dfrac{31}{500}=0.062

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.062*0.938}{145}+\dfrac{0.062*0.938}{355}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0.001}=0.024

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.088-0}{0.024}=\dfrac{0.088}{0.024}=3.68

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

\text{P-value}=P(z>3.68)=0.00013

As the P-value (0.00013) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

8 0
3 years ago
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