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Yakvenalex [24]
2 years ago
9

Factor 5z^2+45z. The factored polynomial is _

Mathematics
1 answer:
erik [133]2 years ago
4 0
Here you go
5z(z+9)
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The product of 12 and k is 84.
Vesnalui [34]

Answer:

to solve this we do the oppisite of multiplication which is division

so 84 divided by 12 = 7 so that means that our mysterious k = 7

so reprhase  the sentence so  '' The product of 12 and 7 is 84

hope this helps:)

Step-by-step explanation

8 0
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:

<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
What is 1256467x4453564
Arturiano [62]

5,595,756,198,388

Step-by-step explanation:

6 0
3 years ago
Ava deposited $14 in a savings account that earns 2.7% simple interest. What would the graph look like?
katen-ka-za [31]

Deposited amount = $14.

Rate of interest =  2.7%

In decimals 2.7 could be written by dividing 2.7 by 100, we get

0.027.

Interest earned each year = 2.7% of $14 = 0.027*14 = $0.378.

We can make a table to balance by after each year.

First year balance: First year interest + Deposited amount = 0.378 +14 = $14.378.

Second year balance: Second year interest + Deposited amount = 2*0.378 +14 = 0.756+ 14 = $14.756.

Third year balance: Third year interest + Deposited amount = 3*0.378 +14 = 1.134+ 14 = $15.134.

We get four coordinates to graph A(0,14), B(1, 14.378) , C(2, 14.756) and D(3, 15.134).

Plotting those coordinates of the points A, B, C and D on the graph.



8 0
4 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos 3θ
Aneli [31]
First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work. 

Here is the graph.

What you can see is that this graph is symmetrical around the x axis.

When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.

In this case, the mirror will show symmetry along the x axis and no where else.

4 0
3 years ago
Read 2 more answers
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