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mixas84
2 months ago
15

John has two jobs. For daytime work at a jewelry store he is paid

Mathematics
1 answer:
babunello [11.8K]2 months ago
4 0
The probability that John's monthly commission from the jewelry store lies between $9,000 and $11,000 is 38.3%. Step-by-step explanation: In a Normal Distribution, which is a continuous probability distribution symmetric around the mean, we analyze the probability of John's commission falling in the specified range. The z-scores for the values in question correspond to 0.50 and -0.50, leading to probabilities of approximately 0.6915 and 0.3085 respectively. Consequently, the computed probability that John's commission is between $9,000 and $11,000 is 38.3%.
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give me 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life . describ
babunello [11817]

Quadratic equations find their application in various real-world scenarios such as: sports, bridges, projectile motion, the curvature of bananas, and so on.

Here are three images representing real-world instances of quadratics:

Example 1: A cyclist travels along a parabolic trajectory to leap over obstacles.

Example 2: A person throws a basketball towards the hoop, moving in a gently upward path described by a quadratic curve.

Example 3: A football player kicks the ball upward, which follows a quadratic path as it travels a distance.

4 0
3 months ago
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Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF Prove: m∠ABC = m∠GHI We are given that angle ABC and are congruent, and that angle GHI and an
AnnZ [12381]

1. Angle DEF

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3 months ago
Sanjit drives the 45 km distance between York and Leeds he then drives a further 42 km from Leeds to Blackpool
Leona [12618]

The average speed for his entire journey from York to Blackpool is about 61.41 km/h.

Here’s a breakdown of how we arrive at this:

\text{ The average speed}=\frac{\text{Total distance covered}}{\text{Total time taken}}

The distance he travelled from York to Leeds is 45 km,

and the speed during that section was 54 km/h.

Therefore, the time taken to travel from York to Leeds is 45/54 hours (since Time = Distance/Speed).

Next, the distance from Leeds to Blackpool is 42 km,

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This leads to the total duration for his trip as

=\frac{45}{54}+\frac{35}{60}=\frac{450+315}{540}=\frac{765}{540}=\frac{17}{12} hours.

The cumulative distance covered equals 45 + 42 = 87 km.

Thus, his average speed is calculated as:

=\frac{87}{17/12}= \frac{12\times 87}{17}=\frac{1044}{17}=61.4117647\approx 61.41\text{ km per hour}

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3 months ago
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Write 1.653 x 10-4 as an ordinary number.​
zzz [12365]

Answer:

1.4×10⁻⁵=0.000014

Step-by-step explanation:

Since the exponent of the 10 term is negative, shift the decimal point to the left by 5 positions;

1.4×10⁻⁵=0.000014

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2 months ago
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