The value of P(0.6 ≤ z ≤ 2.12) is, 26%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
To find the value of P(0.6 ≤ z ≤ 2.12).
Now, We can simplify as;
P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)
So, From the Cumulative Standardized Normal Distribution table,
P( z ≤ 2.12) = 0.9830
P(z < 0.6) = 0.7257
Hence, We get;
P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)
P(0.6 ≤ z ≤ 2.12) = 0.9830 - 0.7257
P(0.6 ≤ z ≤ 2.12) = 0.2573
P(0.6 ≤ z ≤ 2.12) = 0.26
P(0.6 ≤ z ≤ 2.12) = 26%
Thus, The value of P(0.6 ≤ z ≤ 2.12) is, 26%
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how do u write the product of 10 and the difference of a number X and 14 is 90
[tex]10(x-14)=90[/tex]
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Darren and Latisha are decorating cupcakes for a bake sale. They need to decorate 100 cupcakes. Each of them has decorated 40% of the cupcakes. What percentage of cupcakes do they have left to decorate?
Answer:
Now they have left to decorate 20% cupcakes.
Step-by-step explanation:
Darren and Latisha are decorating cupcakes for a bake sale.
They need to decorate 100 cupcakes.
Each of them has decorated 40% of the cupcakes = 40% + 40% = 80%
Both of them has decorated 80% of the cupcakes.
80% of 100 cupcakes = 80 cupcakes
Now they have left to decorate 100 - 80 = 20
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Answer:
Option D. [tex](\frac{1}{16}) ft^{3}[/tex]
Step-by-step explanation:
Since formula to find volume of a cube is V = (side)³
and one side of the cube is [tex](\frac{1}{4})[/tex] foot
Therefore, volume of the cube will be
V = [tex](\frac{1}{4})[/tex]³
We have to calculate the volume of 4 cubes
4 × V = 4 × [tex](\frac{1}{4})[/tex]³
= [tex]\frac{4\times 1}{4^{3}}=\frac{1}{4^{2}}=(\frac{1}{16})ft^{3}[/tex]
Option D. [tex](\frac{1}{16}) ft^{3}[/tex] is the answer.
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8000 * 0.60 = $4,800.00
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Answer:
Step-by-step explanation:
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
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A.9x2y21
B.6x2y21
C.9x2y14
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Answer: A. [tex]9x^2y^{21}[/tex]
Step-by-step explanation:
The given expression : [tex](3xy^6)^2(y^3)^3[/tex]
Using laws of exponents :
[tex]a^m*a^n=a^{m+n}\\\\(a^m)^n=a^{mn}[/tex]
To simplify the given expression :
[tex](3xy^6)^2(y^3)^3\\\\=(3)^2(x)^2(y^6)^2(y^{3\times3})\\\\=9x^2y^{12}\times y^9\\\\=9x^2y^{12+9}\\\\=9x^2y^{21}[/tex]
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The probability of drawing a red card from a standard deck of cards is 26/52, or 1/2, because there are 26 red cards (13 hearts + 13 diamonds) out of a total of 52 cards in the deck.
To find the probability of both events happening, you multiply the probabilities together: (1/2) * (1/2) = 1/4.
The probability of rolling an even number on a six-sided die and drawing a red card from a standard deck of cards is 1/4. P(EM) refers to the probability of rolling a number that is both even and a multiple of three. P(E OR M) represents the probability of rolling a number that is either even or a multiple of three.
Explanation:The probability of rolling an even number on a fair six-sided die is calculated by counting the even numbers (2, 4, 6) and dividing by the total number of sides, which gives us P(E) = 3/6 = 1/2. For drawing a red card from a standard deck of 52 playing cards, half of the cards are red, so P(Red) = 26/52 = 1/2. To find the combined probability of both independent events occurring, we multiply their respective probabilities: P(Even number and Red card) = P(E) × P(Red) = (1/2) × (1/2) = 1/4.
What does P(EM) mean in words?
P(EM) represents the probability of the intersection of two events, E and M, meaning the probability that the number rolled is both even and a multiple of three.
What does P(E OR M) mean in words?
P(E OR M) signifies the probability of the union of two events, E or M, which is the chance that the number rolled is either even or a multiple of three.
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Final answer:
To find the map distance of an 8 km actual distance on a map with a scale of 1:50,000, convert 8 km to meters (8,000 m), and divide by the scale factor (50,000) to get the map distance of 16 centimeters.
Explanation:
To calculate the length of an 8 km distance on a map with a scale of 1:50,000, you can use the formula:
Actual distance (in real life) / Scale = Distance on the map. This can be rearranged to: Distance on the map = Actual distance / Scale. Therefore, 8 km / 1:50,000 conversion would be calculated as follows:
The distance of 8 km is represented as 16 centimeters on a map with a scale of 1:50,000.
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