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Setler [38]
3 years ago
9

Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u

sual. When he weighs one of the sticks, he finds that it is 2.33 oz. The manufacturer's website states that the average weight of each stick is 1.75 oz with a standard deviation of 0.22 oz. Assume that the weight of the drumsticks is normally distributed. What is the probability of the stick's weight being 2.33 oz or greater
Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

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5 0
3 years ago
Your answer should be a polynomial in standard form. (x + 5)(x +3)=(x+5)(x+3)
sattari [20]

Answer:

∴(x+5)(x+3) =x²+8x+15

Step-by-step explanation:

Standard form of a polynomial:

Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.

Example:

a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+......

Given,

(x+5)(x+3)

=x(x+3)+5(x+3)

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7 0
2 years ago
5+2(w-6) how do i rewrite as addition and solve?
Firdavs [7]

Answer:

2w - 7

Step-by-step explanation:

1) Expand by distributing terms.

5 + 2w - 12

2) Collect like terms.

2w + (5 - 12)

3) Simplify.

2w - 7

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Answer:

x < \frac{20}{17} and y \ge \frac{-5}{17}

Step-by-step explanation:

Given

y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1

Required

Find x and y

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Multiply through by 5

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x < \frac{20}{17}

Substitute this value of x in y \ge \frac{3}{5}x - 1

y \ge \frac{3}{5}*\frac{20}{17} - 1

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