Answer:
1. 3 days.
Step-by-step explanation:
We have been given that the hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilometers per hour.
First of all we will find the number of hours it will take for George to reach Puerto Rico. We can find number of hours taken by hurricane George to reach Puerto Rico by dividing 1728 by 24.
We can see that George will reach Puerto Rico in 72 hours. Let us convert hours to days by dividing 72 by 24 (number of hours in a day).
Therefore, the hurricane George will reach to Puerto Rico in 3 days, if the hurricane stays on its present course. Our first option is the correct choice.
1500 + 0.45x < 1.70x
1500 < 1.70x - 0.45x
1500 < 1.25x
1500/1.25 < x
1200 < x.....so she would have to sell 1201 cards to make a profit
Answer:
4,5,27
Problem:
Boris chose three different numbers.
The sum of the three numbers is 36.
One of the numbers is a perfect cube.
The other two numbers are factors of 20.
Step-by-step explanation:
Let's pretend those numbers are:
.
We are given the sum is 36: 
.
One of our numbers is a perfect cube. 
where 
is an integer.
The other two numbers are factors of 20. 
and 
where 
.
From here I would just try to find numbers that satisfy the conditions using trial and error.
So I have found a triple that works:
The numbers in ascending order is:
By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.
Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.
We are required to find whether the company is right in saying that their bags contain 11 kg of food.
First we have to make hypothesis.
:μ≠11
:μ=11
We have to use t statistic because the sample size is less than 30.
t=(X-μ)/s/
We will use s/=0.6 because we have already given population standard deviation of weights.
t=(11-10.6)/0.6
=0.4/0.6
=0.667
Degree of freedom=n-1
=25-1
=24
T critical at 0.05 with degree of freedom 24=2.0639
T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.
Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.
Learn more about t test at brainly.com/question/6589776
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Answer:
4 units
Step-by-step explanation:
according to question:
perimeter of square = 16 units
4a = 16
where a is the side length
a = 16/4
= 4 units
