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Luda [366]
3 years ago
9

Sarah has completed 0.4 of her word puzzle book, which contains 90 puzzles. If she completes 6 more, how many puzzles are left t

o complete?
Mathematics
1 answer:
pav-90 [236]3 years ago
8 0
Answer: 48.
Step 1: multiple 90 puzzles x 0.4 to find how many she has already completed = 36.
Step 2: subtract the number completed (36) from the total (90). 90-36 = 54
Step 3: subtract the 6 more she will complete. 54-6 = 48
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Read the following excerpts from the New York Times (December 17, 1996) article Chance of Heart Attack Increases for Those Who S
nataly862011 [7]

Answer:

1. B

2. A

3. A

4. A

Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

p': 27/444= 0.06 ⇒ 6%

Since this value was obtained from the sample, it is an estimation of the population parameter, also called statistic.

I hope it helps!

4 0
2 years ago
The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 73
Contact [7]

Answer:

b = 33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

3 0
2 years ago
Consider the standard normal curve given.
Harman [31]

Answer:

mean: 30

standard dev: 5

the data point 37 is more than

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Common numbers for 15 18 and 12
Aleks [24]
<span>Common numbers for 15 18 and 12: 1 and 3</span>
8 0
3 years ago
Arranging like terms; solve the linear system using eliminationlly - 3x = 18- 3x = -16y + 33
DENIUS [597]

Solution

For this case we can do the following:

11y - 3x = 18

16y -3x = 33

We can multiply the first equation by -1 and we got:

-11y +3x =-18

16y -3x = 33

_______________

16y -11y = 33-18

5y = 15

y= 15/5 = 3

And then solving for x we got

x = -(18 -11*3)/ 3= -15/3 = 5

8 0
1 year ago
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