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vova2212 [387]
3 years ago
12

There are six nickels and seven dimes in your pocket. Five of the nickels and three of the dimes are Canadian. The others are US

currency. You randomly select a coin from your pocket. Find the probability that it is a dime or is US currency.
A. 0.5


B.0.667


C. 0.636


D. 0.615
Mathematics
1 answer:
ira [324]3 years ago
7 0
B!



hope this helps, it just seems like the best answe.
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g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he
stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the​ president's height minus their main​ opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm.

5 0
3 years ago
What is the distance from the origin to point A graphed on the complex plane below?
Degger [83]

Answer: False

Step-by-step explanation:

You didn't give the coordinate plane that I was supposed to use while helping you.

3 0
3 years ago
(please help and explain) <br> will mark brainliest!!
9966 [12]

Answer:

x = 40

Step-by-step explanation:

Angles SRT and STR are congruent, so they have the same measure.

The measure of <SRT is 20, so the measure of <STR is also 20.

Angles STR and STU form a linear pair. Two angles that form a linear pair are supplementary, so their measures add up to 180.

m<STR + m<STU = 180

20 + 4x = 180

4x = 160

x = 40


7 0
3 years ago
Which of the following expressions is evuivalent to 5x-(4+2(x-1)
svetlana [45]

Answer:

3x-2

Step-by-step explanation:

7 0
2 years ago
two dump trucks have capacities of 10 tons and 12 tons. they make a total of 20 round trips to haul 226 tons of topsoil to be us
lozanna [386]
We will define the following variables to solve the problem:
 x = amount of round trips from 10 tons truck
 y = amount of round trips from 12 tons truck
 We write the system of equations:
 x + y = 20
 10x + 12y = 226
 The solution to the system of equations is:
 x = 7
 y = 13
 Answer:
 
10 tons truck makes 7 round trips
 
12 tons truck makes 13 round trips
4 0
3 years ago
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