A normal distribution is most effective when dealing with a substantial sample size. Without knowing how many containers there are, it's challenging to determine if it’s suitable for modeling the container weights.
Triangle XYZ is an equilateral triangle, meaning the sector's central angle measures 120 degrees, which is equivalent to 2π/3 radians. To find the area of a sector corresponding to a central angle β, we use the formula A = (1/2)r²*β, where β is expressed in radians. For this sector, the area calculation is A = (1/2)*2²*(2π/3) = 4π/3 square units.
Answer:
500,000
Here, expanded forms may be expressed in sentence style or arranged vertically for clarity as shown.
Expanded Notation Format:
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
Expanded Factors Format:
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Expanded Exponential Format:
5 × 10^5
+ 0 × 10^4
+ 0 × 10^3
+ 0 × 10^2
+ 0 × 10^1
+ 0 × 10^0
Word Form:
five hundred thousand
Step-by-step explanation:
Answers stated above..
Answer:
The anticipated total weight of the child's lollipop and two chocolate bars is 5.5 oz.
Step-by-step explanation:
Normal probability distribution
When dealing with a normal distribution, we apply the z-score formula.
In a dataset featuring a mean of 
and a standard deviation of 
, the z-score for a value X is calculated as:
The Z-score indicates the number of standard deviations a measurement is from the mean. After computing the Z-score, we utilize the z-score table to find the corresponding p-value for this score. This p-value represents the probability that the measured value is less than X, essentially the percentile of X. By subtracting the p-value from 1, we determine the likelihood that the measured value exceeds X.
Adding normal variables:
The overall mean is the sum of individual means.
We calculate the expected combined weight of the child's lollipop and the two chocolate bars.
The child's lollipop averages 1.5 oz
Two chocolate bars average 2 oz each
Combining one lollipop and two chocolate bars gives
The total average is 1.5 + 2*2 = 5.5 oz
Hence, the expected combined weight of the child's lollipop and the two chocolate bars is 5.5 oz.
Răspuns:
Mihai = 12kg
Maria = 15kg
Teodor = 13 kg
Explicație pas cu pas:
Să folosim x pentru cantitatea de plante medicinale adunate de Mihai.
Să denumim y cantitatea adunată de Maria.
Fie z cantitatea de plante medicinale adunate de Teodor.
În vacanța de vară, Mihai, Maria și Teodor au adunat în total 48 de kilograme de mentă;
x + y + z = 48......... 1
Dacă Maria a adunat cu 3 kilograme mai mult decât Mihai, atunci y = x + 3..... 2
Dacă Teodor a adunat de două ori mai puțin decât Mihai, atunci z = y - 2
Deci, z = (x + 3) - 2
Astfel, z = x + 1.... 3
Înlocuim ecuațiile 3 și 2 în ecuația 1;
<pDin ecuația 1:
x + y + z = 40
x + (x + 3) + (x + 1) = 40
3x + 4 = 40
Scădem 4 din ambele părți
3x = 36
x = 12
Substituim x = 12 în ecuația 2 pentru a determina y
y = x + 3
y = 12 + 3
y = 15
De asemenea, z se calculează astfel: z = x + 1
z = 12 + 1
z = 13
Astfel, Mihai a recoltat 12 kg de plante medicinale, Maria a adunat 15 kg, iar Teodor a strâns 13 kg.
