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Crazy boy [7]
3 years ago
13

An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×1063.2×106 people

in the U.S.
About how many grams of trash was thrown away in the United States in 2013
Mathematics
1 answer:
Mashcka [7]3 years ago
8 0
Well, Since every 1 person throws away 4.5 × 10² g trash each day (365 days in each year), You would times 3.2×1063.2×106  by the 4.5 × 10² g to get how much trash was thrown away each day and then times that by 365 to figure how much trash was thrown away the entire year
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What is the range of f(x)=15(1/3)^x
wel

Answer:

(0,inf)   {y║y>0}

Step-by-step explanation:

8 0
3 years ago
Men are believed to have a slightly longer average length of short hospital stays than women; 5.2 days versus 4.5 days respectiv
Georgia [21]

Answer:

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of singificance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

Step-by-step explanation:

1) Data given and notation  

\bar X_{1}=5.2 represent the mean for group men  

\bar X_{2}=4.5 represent the mean for group women  

Assuming these values for the remaining data:

\sigma_{1}=1.2 represent the population standard deviation for the sample men

\sigma_{2}=1.5 represent the population standard deviation for the sample women

n_{1}=32 sample size for the group men  

n_{2}=30 sample size for the group women  

z would represent the statistic (variable of interest)

p_v represent the p value  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the mean for men it's higher than the mean for women, the system of hypothesis would be:  

H0:\mu_{1} \leq \mu_{2}  

H1:\mu_{1} > \mu_{2}  

If we analyze the size for the samples both are higher than 30, and we know the population deviation's, so for this case is better apply a z test to compare means, and the statistic is given by:  

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

3) Calculate the statistic  

We have all in order to replace in formula (1) like this:  

z=\frac{5.2-4.5}{\sqrt{\frac{1.2^2}{32}+\frac{1.5^2}{30}}}=2.02  

4) Find the critical value

In order to find the critical value we need to take in count that we are conducting a right tailed test, so we are looking on the normal standard distribution a value that accumulats 0.01 of the area on the right and 0.99 of the area on the left. We can us excel or a table to find it, for example the code in Excel is:

"=NORM.INV(1-0.01,0,1)", and we got z_{critical}=2.33

5) Statistical decision

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of significance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

6 0
3 years ago
Half of your baseball card collection got wet and was ruined. You bought 18 cards to replace some that were lost. How many did y
postnew [5]
1. Let x be the original amount of baseball cards,
2. half of x was lost so x divided by 2.
3. you buy 18 cards to replace some that were lost
4. You can find the awnser by subtracting 18 from 30, which is 12.
5. Now lets remember that half of your cards were lost. meaning that 12 is only half of what you started with.
6. 12 times 2 would be 24.
7. The Awnser is 24
8. To check your work, you can say x=24, 24 divided by 2 is 12, and 12 plus 18 is 30.

5 0
3 years ago
Determine the coordinates of the y-intercept of the function shown in the graph.
Flura [38]
Ok, i really don't remember this, so i don't want to steer you wrong. maybe wait for another answer?
7 0
3 years ago
Read 2 more answers
What is the definition of the Angle Addition Postulate?
nasty-shy [4]
The angle addition postulates states that if an angle UVW has a point S lying in its interior, then the sum of angle UVS and angle SVW must equal angle UVW, or ?UVS + ?SVW= ?UVW.
8 0
3 years ago
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