Answer:
x = 4
Step-by-step explanation:
Solution:
-3(4x + 3) + 4(6x + 1) = 43
-12x - 9 + 24x + 4 = 43
12x - 5 = 43
12x = 43 + 5
12x = 48
x = 48 / 12
Therefore, x = 4
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The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8
<h3>Fraction</h3>
let
- Number of marbles in her bag = x
- Number of marbles removed from her bag = 1/2x
Remaining marbles = x - 1/2x
= (2x-x) / 2
= x/2
= 1/2x
Number of marbles given to her friend = 1/4 of 1/2x
= 1/4 × 1/2x
= 1/8x
Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend
= 1/2x - 1/8x
= (4x-x) / 8
= 3x/8
= 3/8x
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Answer:
198.95 cm²
Step-by-step explanation:
Circumference = 50cm
C = πD
D = C/π
r = D/2
r = 50/π/2
r= 7.957747…..cm
Area = π r²
A = π x 7.957747….²
A = 198.95 cm² (2dp)
Answer:
The distribution of the sample data will approach a normal distribution as the sample size increases.
Step-by-step explanation:
Central limit theorem states that the mean of all samples from the same population will be almost equal to the mean of the population, if the large sample size from a population, is given with a finite level of variance.
So, here Option C is not correct conclusion of central limit theorem -The distribution of the sample data will approach a normal distribution as the sample size increases.
We can say that the average of sample mean tends to be normal but not the sample data.
Answer:
Polygon 3 and polygon 4 are similar to polygon 1.
Step-by-step explanation:
Answer to plato