Conversion:
3 km - 3000m
0.5 km - 500 m
1.05 km - 1050 m
Solution:
3, 000 m = 500m + 1050m + n
3, 000 m = 1550m + n
n = 3, 000 m - 1550m
n = 1450m
1.45 kilometers must PJ hike to reach the river.
Answer:
The shopper should but the 6 pcs pack because its cheaper.
Step-by-step explanation:
6-pcs pack = $2.10
hot dogs needed = 48
number of 6 pcs = 48 divided 6 = 8
total cost = $2.10 x 6 = $16.80
8 pcs pack = $3.12
hot dogs needed = 48
number of 8 pcs packs = 48 divided 8= 6
total cost = $3.12 x 6 =$18.72
hope it helps :)
Answer: y=-2/5x+2
Solving Steps:
2x+5y=10 - Move the variable to the right
5y=10-2x - Divide both sides by five
y=2-2/5x - Reorder the terms
y=-2/5x+2
The equation for the first option is Y=10x + 200
The equation for the second option is Y=30x + 100
X = one month
To find when they would be the same about you have to set the equations equal to each other
10x + 200 = 30x + 100
-10x -100 -10x -100
100= 20x
5 = x
After five months she would save the same amount. To find how much is saved you have to plug in 5 for x in one of the equations. You can always double-check 5 by plugging it in both equations and making sure you get the same answer
Y= 10(5) + 200 = 250
Y= 30(5) + 100 = 250
She would have saved $250 after five months by using either method
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean and standard error
In this problem:
- 1,190 adults were asked, hence
- In fact 62% of all adults favor balancing the budget over cutting taxes, hence .
The mean and the standard error are given by:
The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:
By the Central Limit Theorem
has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213