Answer:
- 7 magnets
- 2 robot figurines
- 1 pack of freeze-dried ice cream
Step-by-step explanation:
The greatest common factor of 24, 48, and 168 is 24, so 24 gift bags can be made. Each will have 1/24 of the number of gift items of each type that are available.
In each bag are ...
- 1/24 × 168 magnets = 7 magnets
- 1/24 × 48 robot figurines = 2 robot figurines
- 1/24 × 24 packs of ice cream = 1 pack of ice cream
_____
One way to find the greatest common factor (GCF) is to consider whether the smallest number divides all the numbers. If so (as here), then that is the GCF. If not, then consider the smallest difference between any pair of numbers, to see if it divides all of the numbers. If not, then test the smallest positive remainder from any of those divisions. Repeat until you have found a common divisor (which may be 1).
4370
123
———
13110
+87400
437000
————
537510
Then you add the number of space the coma takes in the two numbers, so 2+1=3 and u put it in the third place so the answer is : 53,751
F + g = 23
f+g-g=23-g
f = 23-g
f + 2g =34
23-g+2g=34
23+g=34
23-23+g=34-23
g = 11
f + g = 23
f + 11 = 23
f +11-11 =23-11
f = 12
Check
f + 2g =34
12 + 2(11) =34
12 + 22 = 34
34=34
She made 11 free throws and 12 field goals
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
Answer:
Step-by-step explanation:
Given that an exit poll of 1000 randomly selected voters found that 515 favored measure A.
Sample proportion p = 
Margin of error 99% = 2.58*SE
=
99% confidence interval =
------------------------
(Right tailed test)
STd error = 
Test statistic Z = p diff/std error =
p value = 0.1714
