Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
Products
Base-Period Current Period
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
=106500 60,000
∑ 416300 248350
Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169
Elliot is simplifying a radical. His work is shown
Which statement best applies to Elliot's mathematical work?
A. The equality V64 = 4.16 is incorrect or invalid.
B. Removing the 4 from under the radial in the second step is incorrect or invalid
C. The work shown above is correct; however, 2V16 can be simplified further.
D. The work shown above is correct; and 2V16 cannot be simplified further
Answer:
C. correct, but can be further simplified
Step-by-step explanation:
Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...
√64 = 8
Answer:
c
Step-by-step explanation:
got it right
We conduct a study to determine whether the majority of community college students plan to vote in the next presidential election. We choose a significance level of 0.05. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is 0.02. H0: 50% of community college students plan to vote in the next presidential election. Ha: More than 50% of community college students plan to vote in the next presidential election. What can we conclude
Answer:
we can conclude that more than 50% of community college students plan to vote in the next presidential election
Step-by-step explanation:
Decision Rule
If;
P-value > significance level --- accept Null hypothesis
P-value < significance level --- reject Null hypothesis
Z score > Z(at 95% confidence interval) ---- reject Null hypothesis
Z score < Z(at 95% confidence interval) ------ accept Null hypothesis
Null hypothesis H0: 50% of community college students plan to vote in the next presidential election
H0: p = 0.50
Ha: More than 50% of community college students plan to vote in the next presidential election
Ha: p > 0.50
P-value = 0.02
From the decision rule;
Since the p-value for this study is less than the significance level.
0.02 < 0.05
So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.
Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election
a rectangular rug measures 8 feet long and 12 feet wide . what is the area of the rug
Answer:
96 square feet
Step-by-step explanation:
Area= length x width
So for the rug it would be 12x8
12x8=96
The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.
Answer: C(x) = 2000+ 0.05 x
Step-by-step explanation:
Hi, to answer this question we simply have to apply the next formula:
Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
10% of 20% of 30% is equal to?
Answer:
The final percent would be (10/100) x (20/100) x (30/100) = 0.006 = 0.6%
Answer:3/500
Step-by-step explanation:
10% of 20% of 30%
10/100 of 20/100 of 30/100
1/10 x 1/5 x 3/10
(1x1x3)/(10x5x10)
3/500
Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?
Answer:
Pierre is right.
Step-by-step explanation:
A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.
Pierre is correct y = 300(1.02)^x.
Scotts answer 1.2 = a growth rate of 20%.
Let a = 60. What is the value of a ÷ 5? equation
Answer:
12
Step-by-step explanation:
Just substitute 60 for a and divide it by 5
Ta Da!!
if you know the area How would you find the diameter of a circle?
Step-by-step explanation:
formular of area circle = pi*
[tex] {? \\ radius}^{2} [/tex]
=> radius =
[tex] \sqrt{area \div pi } [/tex]
diameter = 2* radius.hope this help
3/4 x 1/4
next problme: 3/5 x 1/5
100 pts
Answer:
0.1875 and 0.12
Step-by-step explanation:
3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12
Answer:
1)0.1875
2)0.12
Step-by-step explanation:
If f(x) and f-1 (x)
are inverse functions of each other and f(x) = 2x+5, what is f-1 (8)?
Answer:
For this case we have the following function:
f (x) = 2x + 5
Clearing x we have:
2x = y - 5
x = (y-5) / 2
Rewriting:
f (x) ^ - 1 = (x-5) / 2
Evaluating x = 8:
f (8) ^ - 1 = (8-5) / 2
f (8) ^ - 1 = 3/2
Answer:
f (8) ^ - 1 = 3/2
option 2
Answer:
3/2 B
Step-by-step explanation:
Edge
Math Help!!! ASAP!! I will give you brainliest!!
Answer:
Step-by-step explanation:
true true false
Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).
Answer:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Step-by-step explanation:
Both variable can be rewritten into polar form:
[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]
The complex product is equal to:
[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]
[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]
The resultant expression in rectangular form is:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Answer:
The correct question is:
Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].
(Note: the angles mentioned in the equations above are in degrees)
The answer is [tex]z_{1}.z_{2}= 2i[/tex]
Step-by-step explanation:
[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]
[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]
[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]
[tex]z_{1}.z_{2}= 2i[/tex]
[ Cuiu be made.
There are 24 boys for every 36 girls (24:36 ratio)
There are
boys for every
girls
try
Type in an equivalent ratio of boys and girls.
Answer:
24/36 = 12 x 2/12 x 3 = 2/3.
Step-by-step explanation:
Brainliest for anyone if they get this CORRECT.
answer is D7/2
hope it helps!!!!!!!!!!!!!!!!!!!!!!
What is the slope for the linear function y=3x-4
Answer:
3
Step-by-step explanation:
This is written in the form
y= mx+b
where m is the slope and b is the y intercept
3 is the slope and -4 is the y intercept
Which expression represents a factorization of 32m + 56mp ?
Answer:
8m(4 + 7p)
Step-by-step explanation:
Take out the greatest common factor:
8m(4 + 7p)
Solve (3x+7)=4x for x
Answer:
x=7
Step-by-step explanation:
(3x+7)=4x
Subtract 3x from each side
(3x+7) -3x=4x-3x
7 = x
What is the length of AC? PLEASE HELP ASAP WILL GIVE BRAINLIEST TY
Answer:
2.33 units
Step-by-step explanation:
[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]
how many thousands make 5crore
Answer:
50,000 thousands make a crore.
Step-by-step explanation:
One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.
When Jonas becomes the Receiver of Memory, he gets a rule that he may not tell his dreams. He wants to know how many of his 505050 classmates have the same rule. He asks 555 friends from his class whether they may tell their dreams. Of those, 444 say that they may.
Answer:
101010 classmates can't tell their dreams.
Step-by-step explanation:
I'm not sure what the question is, but if it is an average thing than 444 of 555 is 80 percent, so if that is what it wants 404040 of the students can share their dreams, and 101010 can't.
Hope this helps!
help me plss to find the area
Answer:
A=88 square units
Step-by-step explanation:
A=B x H
A= 11 x 8
A=88 square units
Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?
Answer:
It would be 2 x the absolute value of the y coordinate.
Step-by-step explanation:
Example:
(5,-3)
Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.
In the figure below, which term best describes point T?
Answer:
A
Step-by-step explanation:
Max wants to purchase a wall hanging. He is choosing between one shaped like a trapezoid and one shaped like a kite. He will choose the wall hanging with the greater area. Which wall hanging will Max choose?
Answer:
Max will choose the wall hanging that is shaped like a trapezoid.
Step-by-step explanation:
To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.
To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.
Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.
Hope this helps! Tell me if you have any other questions:)
Answer:trapezoid
Step-by-step explanation:
g(t) = 6t - 1
g ( ) = -7
Answer:
g(-1) = -7
Step-by-step explanation:
Put the given value for g(t) into the first equation and solve for t.
-7 = 6t -1
-6 = 6t . . . . . . add 1
-1 = t . . . . . . . . divide by 6
g(-1) = -7
Answer: -1
Step-by-step explanation:
THIS IS MATH WORK AND IS VERY CONFUSING
I NEED HELP PLEASE
ASAP PLEASE
(Could you show work too thanks :D)
Step-by-step explanation:
1.
First blank: total amount of outcomes
2.
since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.
3.
a) F
b) F
c) T
d) T
e) T
f) T
4.
17/36, because 17 of the answers are greater than 10 and there are 36 total answers.
Sorry I didn't answer all of them, hopefully this still helps!
Goodluck with your schoolwork/homework!
--------------------------------------------------------------
Apologies in advance for any errors/bad explanations.
I will make you the brainliest if you can help me with my geometry homework.
Answer:
SAS
Step-by-step explanation:
Sides WV and XV on either side of angle WVX have been shown to be congruent to their corresponding parts. When you're concerned with a Side, Angle, and Side in that geometrical sequence, the SAS theorem is applicable.
Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily expenses. She
wants to keep more than $300 in the account for college. The number of weeks, w, that Jenny can withdraw money from her account is
represented by the inequality 600 – 20w> 300. How many weeks can Jenny continue to withdraw $20 from her account?
A.
14
B.
17
O C.
20
D.
22
Answer:
A
Step-by-step explanation:
since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
Answer:
88 25/27
Step-by-step explanation:
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
PEMDAS
Parentheses first
(7)^2 (7)^2÷(3)^3
Then exponents
49*49 ÷27
Then multiply and divide from left to right
2401÷27
2401/27
88 25/27
88.92592593
Answer:
Step-by-step explanation:
(7)^2(7)^2 / (3)^3
49*49 / 27
2401/27
88 25/27
What is the fractionation of X2 - 6X + 5
Answer:
(x -1)(x -5)
Step-by-step explanation:
We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...
x^2 -6x +5 = (x -1)(x -5)
_____
The product of factors will be ...
(x +a)(x +b) = x^2 +(a+b)x +ab
So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).
