Answer:
45) Option A
- This is because every option has different modes and 70 is the mode and only one option has the mode as 70.
Hence, option A is correct.
46) Option B
- In all the options, the mode and medians are same hence we only have to find the mean which will help us to reach our correct option. The mean will be 40/17 = 2.35
Hence, option B is correct.
Any whole number, fraction, or decimal that ends or repeats is a rational number. An irrational number is any number that cannot be converted into a fraction so it does not meet the definition of a rational number.
Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
p = 0.35
For the alternative hypothesis,
p > 0.35
This is a right tailed test considering the > in the alternative hypothesis.
Considering the population proportion, probability of success, p = 0.35
q = probability of failure = 1 - p
q = 1 - 0.35 = 0.65
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 42
n = number of samples = 100
P = 42/120 = 0.42
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.42 - 0.35)/√(0.35 × 0.65)/100 z = 1.48
Answer:
3/2
Step-by-step explanation:
this equation follows the formula y=mx+b, and the m is the slope, which in the given equation is equal to 3/2
i hope this helps :)
Answers: See each part below.
1) The scale factor on Map 1 is 1cm = 2 km. It is given in the key in the bottom right corner.
2) The length of the trail would be 16 km. Since each cm is 2 km, we multiply the 8 by 2 to get a total of 16.
3) The scale factor from the first map to the second map is 0.75. To find this we can write and solve the following equation to determine the change from Map 1 to Map 2.
8k = 6
k = 0.75
4) To find the lengths of the sides of the landmark, just change the mm into cm and use the scale factor for each.
5 mm is 0.5 cm. 0.5 x 2 = 1 km
3 mm is 0.3 cm. 0.3 x 2 = 0.6 km
4 mm is 0.4 cm. 0.4 x 2 = 0.8 km
