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Harrizon [31]
3 years ago
14

3(x - 4) + 8(x + 2).

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
3(x - 4) + 8(x + 2) = 3x - 12 + 8x + 16 = 11x + 4
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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:

<u>Question 1:</u>

<u>(a) </u>P(x<60) = 0.9236

<u>(b) </u>P(x>16) = 0.9564

<u>(c) </u>P(16<x<60) = 0.88

<u>(d) </u>P (x>60) = 0.0764

<u />

<u>Question 2:</u>

<u>(a) </u>P(x<3) = 0.0668

<u>(b) </u>P(x>7) = 0.0062

<u>(c) </u>P(3<x<7) = 0.927

<u />

Step-by-step explanation:

<u>Question 1:</u>

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

<u>Question 2:</u>                              

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
For brainiest:):):):)::):):):)
scZoUnD [109]

Answer:

The unit rate is accurately \frac{1}{4} (km/minute)

Step-by-step explanation:

(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.

The unit rate for this problem is also known as the speed of the vehicle.

So to find the speed, you need to use distance over time.

---> Unit rate: \frac{1}{4}\\ / 1 = \frac{1}{4} (km/minute)

(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.

Same process:

---> Unit rate: \frac{1}{2} / 2 =

Because of this, the unit rate is accurately \frac{1}{4} (km/minute)

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3 years ago
Find the length of 1 side of square if the area is 49 sq.cm<br> method needed
ladessa [460]

Answer:

It would be 7cm

Step-by-step explanation:

please find step by step explanation on the picture

7 0
2 years ago
What’s 82828282 + 28828282818828282
faust18 [17]

Answer:

2.8828283e+16

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please answer ASAP, thank you!
Mkey [24]

Answer:

1) a = 110

2) b = 65

3) c = 115 d= 65 e = 115

How I found the last one?

The whole thing equals 360.

d is equal to 65 so I added those together.

That equals 130. So i subtracted that from 360.

I got 230. Next, I divided that by 2 to get the final 2 angles.

4 0
3 years ago
Read 2 more answers
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