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Free_Kalibri [48]
3 years ago
10

Since the homecoming committee bought only 500 footballs,they can sell no more than this. Represent this constraint with an ineq

uality.
Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0
So they can sell 500 footballs or less, but not more. I'll use (x) for how many can be sold.  x <span>≤ 500</span>
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\frac{1}{1000 \: 000}
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In a room with 10 people, how many different handshakes are possible?
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45 handshakes are possible
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50,60,72 find the 8th term airthmetic and geometric sequence
Savatey [412]

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

a_{n} = ar^{n - 1}

In your case a = 50, r = 6/5 and n = 8

a_{8} = 50(6/5)^{8 - 1} \\          = 50(6/5)^{7} \\          =  50(279936/78125)\\          =   179.15904

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3 years ago
Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

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%.

5 0
3 years ago
A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com
nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

!!

3 0
3 years ago
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