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
Pavlova-9 [17]
3 years ago
15

What is the largest prime that divides both 20 + 14 and 20 - 14?

Mathematics
1 answer:
serg [7]3 years ago
4 0
The answer is obviously 2
You might be interested in
1. What is the area of the trapezoid? The diagram is not drawn to scale. (1 point)
Dmitry [639]

Answer:

60

Step-by-step explanation:

Area of trapezoid:

\frac{1}{2}(b1+b2) * h

The top base of the trapezoid is given as 7 cm. The bottom base of the trapezoid can be found with 7+5+5 = 17 cm. The height is given as 5 cm. Then, plug these values into the formula.

\frac{1}{2} (7+17) * 5

= \frac{1}{2} (24) *5

= 12*5

= 60

8 0
3 years ago
Read 2 more answers
(43 points) In the US, 85% of the population has Rh positive blood. Suppose we take a random sample of 6 persons and let Y denot
VladimirAG [237]

Answer:

a) Binomial distribution with parameters p=0.85 q=0.15 n=6

b) 62.29%

c) 2.38%

d) See explanation below

Step-by-step explanation:

a)

We could model this situation with a binomial distribution

P(6;k)=\binom{6}{k}p^kq^{6-k}

where P(6;k) is the probability of finding exactly k people out of 6 with Rh positive, p is the probability of finding one person with Rh positive and q=(1-p) the probability of finding a person with no Rh.

So

\bf P(Y=k)=\binom{6}{k}(0.85)^k(0.15)^{6-k}

b)  

The probability that Y is less than 6 is

P(Y=0)+P(Y=1)+...+P(Y=5)

Let's compute each of these terms

P(Y=0)=P(6;0)=\binom{6}{0}(0.85)^0(0.15)^{6}=1.139*10^{-5}

P(Y=1)=P(6;1)=\binom{6}{1}(0.85)^1(0.15)^{5}=0.0000387281

P(Y=2)=P(6;2)=\binom{6}{2}(0.85)^2(0.15)^{4}=0.005486484

P(Y=3)=P(6;3)=\binom{6}{3}(0.85)^3(0.15)^{3}=0.041453438

P(Y=4)=P(6;4)=\binom{6}{4}(0.85)^4(0.15)^{2}=0.176177109

P(Y=5)=P(6;5)=\binom{6}{5}(0.85)^5(0.15)^{1}=0.399334781

and adding up these values we have that the probability that Y is less than 6 is

\sum_{i=1}^{5}P(Y=i)=0.622850484\approx 0.6229=62.29\%

c)

In this case is a binomial distribution with n=200 instead of 6.

p and q remain the same.

The mean of this sample would be 85% of 200 = 170.  

In a binomial distribution, the standard deviation is  

s = \sqrt{npq}

In this case  

\sqrt{200(0.85)(0.15)}=5.05

<em>Let's approximate the distribution with a normal distribution with mean 170 and standard deviation 5.05</em>

So, the approximate probability that there are fewer than 160 persons with Rh positive blood in a sample of 200 would be the area under the normal curve to the left of 160

(see picture attached)

We can compute that area with a computer and find it is  

0.0238 or 2.38%

d)<em> In order to approximate a binomial distribution with a normal distribution we need a large sample like the one taken in c).</em>

In general, we can do this if the sample of size n the following inequalities hold:

np\geq 5 \;and\;nq \geq 5

in our case np = 200*0.85 = 170 and nq = 200*0.15 = 30

4 0
3 years ago
DO NOT ANSWER QUESTION ONLY IF YOU WANT POINTS. ONLY ANSWER IF YOU ACTUALLY KNOW THE ANSWER!!!! question is in attached piture
Andre45 [30]
The probability of rolling that is 2/6 I think
4 0
3 years ago
Read 2 more answers
A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than h
mariarad [96]

The average speed of his trip is = 12 mile/ hour

The total distance covered by the driver = 240 miles

The rate at which he traveled = 12 miles per hour

Therefore, the time he used to cover his distance

= 240/12

= 20 hrs

But average speed = distance/ time

= 240/ 20

= 12 miles/ hour

Therefore, the average speed of his trip is = 12 mile/ hour

Learn more here:

brainly.com/question/11753352

8 0
2 years ago
Archaeologists are studying a shipwreck on the
vovangra [49]
Apologies, but there is no map...?
4 0
2 years ago
Other questions:
  • Is (0, 8) a solution of 4x – y = 8?<br><br> yes<br><br> no<br><br> cannot be determined
    10·1 answer
  • Foil pattern (7k+8)(5k+6)
    7·1 answer
  • Use the number line to name the fraction or decimal. (H)
    11·1 answer
  • Supplementary angles add to?<br><br>Advanced: Write an equation and solve for x in the diagram
    5·1 answer
  • Solve the equation. Check your answer. If necessary, round to 3 decimal places In ( 4x - 1) =36 x=
    9·2 answers
  • How many fluid ounces are in 1 quart? With work!
    10·2 answers
  • The area of a circle is 49π in². What is the circumference, in inches? Express your answer in terms of \piπ.
    8·1 answer
  • PLSSSSS HELP ME PLSSSSS I NEED TO EXPLAIN
    10·1 answer
  • The town of Butler received 6 more inches of snow than the town of Chicora. Let c represent the amount of snow in Chicora. Which
    6·1 answer
  • I think of a number multiply it by 3 and subtract 4 i get 32 what was the number help pleaseeee
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!