1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
riadik2000 [5.3K]
3 years ago
10

2. The Martian Zoological Society has a unique display of the native monocephalous fauna:

Mathematics
1 answer:
german3 years ago
6 0

Answer:

There are 12 pentapods and 8 Tripods, which in total add up to 84 feet.

Step-by-step explanation:

Given that both the Tripods and the Pentapods have, at least, 3 feet (the Pentapods have 5), and that in total between both groups they add 20 heads and 84 feet, the following logical reasoning can be made:

If there are 20 heads, there are 20 Martians in all. Each of them has, at least, 3 feet, with which in principle the 20 Martians would add up to a total of 60 feet (20 x 3). Therefore, there is a surplus of 24 feet (84 - 60).

If the Pentapods have 2 feet more than the Tripods, the number of Pentapods in the total Martians is determined by that difference. Thus, if there are 24 feet left, there are 12 Pentapods (24/2).

Therefore, in the group of Martians there are 12 pentapods (12 x 5 = 60) and 8 Tripods (8 x 3 = 24), which in total add up to 84 feet (60 + 24).

You might be interested in
REWARDING BRAINLY FOR CORRECT ANSWER
AlexFokin [52]
It is statistical because there can be a variety of answers.
6 0
2 years ago
Read 2 more answers
A sample of 114 mortgages approved during the current year showed that 36 were issued to a single-earner family or individual. T
kodGreya [7K]

Answer:

a-1) Reject H0 if zcalc > 1.645

a-2) z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

a-3) ii. False

b) ii. No

c) iii. n π > 10 and n(1 − π ) > 10

Step-by-step explanation:

1) Data given and notation

n=114 represent the random sample taken

X=36 represent the people that were issued to a single-earner family or individual

\hat p=\frac{36}{114}=0.316 estimated proportion of people that were issued to a single-earner family or individual

p_o=0.28 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:  

Null hypothesis:p\geq 0.28  

Alternative hypothesis:p < 0.28  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

The rejection zone would be on this case :

Reject H0 if zcalc > 1.645

Since is a right tailed test

(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

(a-3) The null hypothesis should be rejected.

False, since our calculated value is less than our critical value we Fails to reject the null hypothesis

(b) Is this a close decision?

False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.

(c) State any assumptions that are required.

In order to satisfy the conditions we need the following two requirements:

iii. n π > 10 and n(1 − π ) > 10

And are satisfied:

114*0.28=31.92>10

114(1-0.28)=82,08>10

7 0
3 years ago
Which of the following statements is a contradiction? 1/2 is a rational number. 3 is an integer. -1 is a natural number. π is ir
Nutka1998 [239]

1/2 is the contradiction I think.


7 0
3 years ago
Find the equation of the line with a slope of -3, passing through the point (2,5).
Alexxx [7]
Y = -3(2) + 11
y = -6 + 11
y = 5

Answer is a) y = -3x + 11 , when x is 2 y is 5
8 0
2 years ago
What is the area of this figure? <br><br> Enter your answer in the box
Anvisha [2.4K]
Area of box : 18*18, which is 324

area of larger triangle : 18*16/2 which is 144

area of larger triangle : 8*16/2 which is 64

add them all to get 532
7 0
3 years ago
Other questions:
  • Write a multipication expression that shows <br><img src="https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B5%7D%20" id="TexFormula1" tit
    10·1 answer
  • Shannon drove for 540 minutes. If she traveled 65 miles per hour, how many total miles did she travel?
    10·2 answers
  • Need help with #'s 6 and 7
    8·1 answer
  • Can sum1 help me pls
    15·2 answers
  • Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks. After
    9·1 answer
  • This is so hard help
    11·2 answers
  • Solve | x - 5 | = 3 solve​
    14·1 answer
  • Please answer correctly! I will mark you as Brainliest!
    9·2 answers
  • WILL GIVE BRAINLIEST!!!
    11·1 answer
  • A small company has 6 employees with associate degrees, 2 employees with bachelor's degrees, and 8 employees with master's degre
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!