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Juliette [100K]
3 years ago
6

Simplify -8+4(c-9)-5+6c+2c

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0

–8 + 4(c–9) –5 + 6c + 2c

= –8 + 4c – 36 – 5 + 6c + 2c

= 4c + 6c + 2c – 8 –35 –5

= 12c – 49

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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
Translate the following verbal statement into an algebraic expression. Use x for your variable.
mafiozo [28]

Answer:

<u>x²/11 + 8</u>

Step-by-step explanation:

We can decipher this algebraic expression going step by step.

1) "Eight more", meaning +8 (we can add this on later).

2) The "quotient of a number (x) squared and eleven", a quotient by definition means the answer to a quantity divided by another. The quantity in this case being x² divided by 11 (so, x²/11).

3) We can combine both of these, getting x²/11 + 8.

Your expression is x²/11 + 8.

- Similarly, you could reposition this equation like 8 + x²/11 (due to the communicative property of addition). Both answers would be acceptable.

5 0
3 years ago
Simplify 6 cm : 1.5 m
Zolol [24]

6cm=0.06m

0.06m : 1.5m

6m : 150m

1m : 35m

4 0
3 years ago
Solve for X <img src="https://tex.z-dn.net/?f=5%2B7x%3D40" id="TexFormula1" title="5+7x=40" alt="5+7x=40" align="absmiddle" clas
Musya8 [376]

Answer:

x = 5

Step-by-step explanation:

To solve, first subtract 5 from each side:

5 + 7x = 40

7x = 35

Then divide each side by 7:

x = 5

5 0
2 years ago
Read 2 more answers
Which unit of measure would be appropriate for the area of a pictu - that is
sp2606 [1]

Answer:

Can you please look at your question and tell me the whole thing. pls and ty :)

Step-by-step explanation:

5 0
3 years ago
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