Answer:
31/35
Step-by-step explanation:
= 62/70
= 62 ÷ 2/70 ÷ 2
= 31/35
Answer:
b. 45 N
Step-by-step explanation:
The sum of the forces exerted by the two miners = 25 + 20
= 45 N
Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.
Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.
Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
Solution given:
model A printers [a] prints=80books per day
model B printers [b] prints=55books per day
total no of printers =9
no of model A printers be x
and
no of model B printers be [9-x]
According to the question;
ax+(9-x)b=670 books
substituting value of a and b; we get
80x+(9-x)55=670
80x-55x+495=670
25x=670-495=175
x=
=7
So;
no of model A printers =x=<u>7</u>
no of model B printers =9-x=9-7=<u>2</u>
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