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2 years ago

Use the quadratic model P(x)=25^2-24x+615 if x equals 8

Mathematics

2 answers:

Lynna [10]2 years ago

8 0

P(x) = 25^2 -24x + 615
P(8) = 25(8 squared) -24(8) +615 = 2023

elena55 [62]2 years ago

4 0

Hello :
<span>P(x)=25x²-24x+615 if x equals 8 :
P(8) = 25(8)²-24(8)+615 =1600-1920+615=2023</span>

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Vesnalui [34]

Answer:

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Answer:

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2 years ago

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nexus9112 [7]

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16 = -( x-2)^2 +16-16

-16 = -( x-2)^2

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16= ( x-2)^2

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2 years ago

In an article about the cost of health care, USA Today reported that a visit to a hospital emergency room has a mean cost of $14

Misha Larkins [42]

Answer: 0.8461

Step-by-step explanation:

Given : $\mu=144\ \ ; \sigma=392$

Let x be the random variable that represents the cost for the hospital emergency room visit.

We assume that cost for the hospital emergency room visit is normally distributed .

z-score for x=1000 ,

$z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]$

Using z-value table , we have

P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642

=0.8461358≈0.8461 [Rounded nearest 4 decimal places]

Hence, the probability that the cost will be more than $1000 = 0.8461

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2 years ago

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume = total volume - the volume on top

so,

total volume = 1/3 (base area)² h

= 1/3 (8*8)² * 12

= 16,384 mm³

volume on top = 1/3 (top base area)² h

= 1/3 (4*4)² * 6

= 512 mm³

finally: get the bottom volume:

bottom volume = total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

= 15,872 mm³

therefore,

the volume of the cut pyramid base = 15,872 mm³

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2 years ago

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