PLZ HURRY ITS TIMEDDDDD
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Hello!
The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:
X₁: Number of Asians that would welcome a white person into their families.
X₂: Number of Asians that would welcome a Latino person into their families.
X₃: Number of Asians that would welcome a black person into their families.
Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251
Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.
1. 95% CI for Asians that would welcome a white person.
If 79% would welcome a white person, then the expected value is:
E(X)= n*p= 251*0.79= 198.29
And the Standard deviation is:
V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409
√V(X)= 6.45
You can construct the interval as:
E(X)±Z₁₋α/₂*√V(X)
198.29±1.965*6.45
[185.62;210.96]
With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.
2. 95% CI for Asians that would welcome a Latino person.
If 71% would welcome a Latino person, then the expected value is:
E(X)= n*p= 251*0.71= 178.21
And the Standard deviation is:
V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809
√V(X)= 7.19
You can construct the interval as:
E(X)±Z₁₋α/₂*√V(X)
178.21±1.965*7.19
[164.08; 192.34]
With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.
3. 95% CI for Asians that would welcome a Black person.
If 66% would welcome a Black person, then the expected value is:
E(X)= n*p= 251*0.66= 165.66
And the Standard deviation is:
V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244
√V(X)= 7.50
You can construct the interval as:
E(X)±Z₁₋α/₂*√V(X)
165.66±1.965*7.50
[150.92; 180.40]
With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.
I hope it helps!
Answer:
1. 10 square yards
2. $9.10
3. 36 girls
4. 20 cherries
5. 159 bracelets
Step-by-step explanation:
1.
The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).
The middle part is taken out (this is a rectangle).
View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:
Area = Area of Whole Square - Area of Middle Rectangle Taken Out
Lets calculate:
Area of Whole Square:
side * side = 4 * 4 = 16
Now,
Area of Middle Rectangle Taken Out:
Length * Width
The length is given as 3
The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2
So, area = 3 * 2 = 6
Area of figure = 16 - 6 = 10 square yards
2.
We have to find 20% of the bill.
The bill was 45.50 and we have to find 20% of 45.50.
We first convert percentage to decimal by dividing by 100:
20% = 20/100 = 0.20
Now we multiply this decimal with the bill to get our desired answer:
0.20 * 45.50 = $9.10
The tip is $9.10
3.
The ratio of boys (b) to girls (g) would be 2 is to 3.
There are 24 boys.
We can set up a ratio (fraction) with boys on top and girls on bottom.
Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:
To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:
There are 36 girls in sixth grade
4.
For every "9" lemon, there are "4" cherries.
There are 45 lemons
If we think of "9" lemons as a "box", how many boxes of lemons are there?
45/9 = 5
Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:
4 * 5 = 20 cherries
We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:
See, we have the same answer, 20 cherries!
5.
Number sold total = 14 + 27 + 45 = 86
She still has 73 in her stock
So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:
73 + 86 = 159 bracelets
Tia started with 159 bracelets