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1 year ago

Explain why the graph may have values for years that are still in the future

Mathematics

1 answer:

avanturin [10]1 year ago

8 0

Answer:

so poople in the future can extend the graph instead of making a new one

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Choose all that give the correct coordinates of the vertices after a dilation of the rectangle TUVW by a scale factor of 4, cent

Inessa05 [86]

Answer:b and d

Step-by-step explanation:

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3 years ago

Read 2 more answers

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand

SOVA2 [1]

Answer:

Question 1:

(a) P(x<60) = 0.9236

(b) P(x>16) = 0.9564

(c) P(16<x<60) = 0.88

(d) P (x>60) = 0.0764

Question 2:

(a) P(x<3) = 0.0668

(b) P(x>7) = 0.0062

(c) P(3<x<7) = 0.927

Step-by-step explanation:

Question 1:

x = no. of mg of porphyrin per deciliter of blood.

μ = 40

σ = 14

(a) We need to compute P(x<60). We need to find the z-score using the normal distribution formula:

z = (x - μ)/σ

P(x<60) = P((x - μ)/σ < (60 - 40)/14)

= P(z < 20/14)

= P(z<1.43)

Using the normal distribution probability table we can find the value of p at z=1.43.

P(z<1.43) = 0.9236

so, P(x<60) = 0.9236

(b) P(x>16) = P(z>(16-40)/14)

= P(z>-1.71)

= 1 - P(z<-1.71)

= 1 - 0.0436

P(x>16) = 0.9564

(c) P(16<x<60) = P((16-40)/14) < x < (60-40)/14)

= P(-1.71 < z < 1.43)

This probability can be calculated as: P(z<1.43) - P(z<-1.71)

P(16<x<60) = 0.9236 - 0.0436

P(16<x<60) = 0.88

(d) P(x>60) = 1 - P(x<60)

we have calculated P(x<60) in part (a) so,

P(x>60) = 1 - 0.9236

P (x>60) = 0.0764

Question 2:

μ = 4.5 mm

σ = 1.0 mm

In this question, we will again compute the z-scores and then find the probability from the normal distribution table.

(a) P(x<3) = P(z<(3-4.5)/1)

= P(z<-1.5)

P(x<3) = 0.0668

(b) P(x>7) = 1 - P(x<7)

= 1 - P(z<(7-4.5)/1)

= 1 - P(z<2.5)

= 1 - 0.9938

P(x>7) = 0.0062

(c) P(3<x<7) = P(x<7) - P(x<3)

we have computed both of these probabilities in parts (a) and (b) so,

P(3<x<7) = 0.9938 - 0.0668

P(3<x<7) = 0.927

6 0

3 years ago

A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air resistance, its heig

Over [174]

Answer:

After 3 seconds while going up and 6 seconds while coming down

Step-by-step explanation:

Since projectile is launched from ground level with an initial velocity of v 0 feet per second, initial height =0

Height is given by

$h(t) = -16t^2+144t$ where v0 = initial velocity = 144

a) When h =288 ft.

$288 = -16t^2+144t\\t^2-9t+18 =0\\t=6 or 3$

At t= 3 or 6 seconds the projectile would be at height 288 ft.

So while going up after 3 seconds it wouldbe at a height of 288 ft and while coming after 6 seconds.

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3 years ago

Hats Off

Zinaida [17]

Answer:

So they have a 24 dollar design fee, and 2 dollars per hat. You have to calculate the cost of 4 hats that are 2 dollars each, plus the design fee of 24 dollars

Step-by-step explanation:

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2 years ago

Expand: x(3 + 9). please

Oksi-84 [34.3K]

Answer:

x(3 + 9) = 3x + 9x = 12x

Step-by-step explanation:

...........

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3 years ago