Alice has $18 more than Patricia. Together they have $122. How much does each person have ?

Please help i am on a timer

meriva

Answer:

x^2 = 36

Step-by-step explanation:

logx ( 36) = 2

Rewrite this as an exponential equation

We know that loga(b) =c as a^b =c

x^2 = 36

7 0

3 years ago

the figure shown consists of a triangle resting on a square of side 5 cm. the triangle has a height of 4 cm. what is the total a

aniked [119]

Because its a square all its sides are 5cm
So area of square is 5x5=25cm^2
Triangle is 5x4= 20
20/2 is 10cm^2
25+10=35cm^2

4 0

3 years ago

In a particular year, the mean score on the ACT test was 22.5 and the standard deviation was 5.3. The mean score on the SAT math

RideAnS [48]

Question is incomplete ; The questions solved were picked from similar questions but different parameters. However, the solution pattern are exactly the same.

Answer:

- 0.0943

- 0.386

30.185

Step-by-step explanation:

Given :

ACT:

Mean score, m = 22.5

Standard deviation, σ = 5.3

SAT :

Mean score, m = 526

Standard deviation, σ = 101

1.)

Zscore for ACT score of 22:

Since the distribution is normal ; we use the relation ;

Zscore = (score - mean) / standard deviation

Score = 22

Zscore = (22 - 22.5) / 5.3 = - 0.0943

B.)

Zscore for SAT of 487

Zscore = (score - mean) / standard deviation

Score = 487

Zscore = (487 - 526) / 101 = - 0.386

C.)

ACT score, for ACT Zscore of 1.45

Zscore = (score - mean) / standard deviation

ZScore = 1.45

1.45 = (score - 22.5) / 5.3

1.45 * 5.3 = (score - 22.5)

7.685 = score - 22.5

Score = 7.685 + 22.5

Score = 30.185

7 0

3 years ago

In a poll conducted before a Massachusetts city's mayoral election, 134 of 420 randomly chosen likely voters indicated that they

Nezavi [6.7K]

Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

<h3>What is a confidence interval?</h3>

It is given by the <u>sample proportion plus/minus the margin of error</u>, and a x% confidence interval means that we are x% sure the population proportion is in the interval.

134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:

p = 134/420 = 0.319

The margin of error for the statistic is 0.045, hence:

0.319 - 0.045 = 0.274

0.319 + 0.045 = 0.364

The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

More can be learned about confidence interval concepts at brainly.com/question/25890103

7 0

3 years ago

Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treat

babymother [125]

Answer:

1. b. 14.6 Â± 7.38

2. b. 3.43

3. b. 0.01 < P-value < 0.05

4. b. There is sufficient evidence to reject the null hypothesis.

Step-by-step explanation:

The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.

5 0

3 years ago