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makkiz [27]
3 years ago
8

Straw are sold in packs and boxes there are 15 straws in each pack there are 48 straws in each box Tricia buys p packs of straws

and b boxes of straws write down an expression in terms of p and b for the total number of straws brought by Tricia
Mathematics
1 answer:
kramer3 years ago
8 0

So the expression for total number of straws is: 15p+48b

Step-by-step explanation:

We know that:

Straws in a pack = 15

Straws in a box = 48

Here

p denotes the number of packs and b is the number of boxes.

The product of number of packs and number of straws in a pack will give us the total straws in packs

15*p = 15p

Similarly, the product of number of boxes and number of straws in a box will give us the total straws in box

48*b = 48b

The sum of both will give us the total number of straws

So the expression for total number of straws is: 15p+48b

Keywords: Linear expressions, Variables

Learn more about linear expressions at:

  • brainly.com/question/9381080
  • brainly.com/question/9532142

#LearnwithBrainly

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviat
Harlamova29_29 [7]

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.    

Let us find the sample score that corresponds to z-score of bottom 4%.  

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

z=\frac{x-\mu}{\sigma}

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-0.14=x-5.71

-0.14+5.71=x-5.71+5.71

5.57=x

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

1.75=\frac{x-5.71}{0.08}

1.75*0.08=x-5.71

0.14=x-5.71

0.14+5.71=x-5.71+5.71

5.85=x  

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.

7 0
3 years ago
Given: △ABC, m∠C=90° m∠ABC=30°, AL ∠ bisector CL=6 ft. Find: LB
vlada-n [284]

For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

\frac{LB}{CL}= \frac{AB}{AC}

The above equation can be rearranged as:

LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}...(Equation 1)

If we have a proper look at the denominator which is \frac{AC}{AB}, we note that in \Delta ABC, \frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)

Thus, (Equation 1) wil give us:

LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12

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Studentka2010 [4]

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Step-by-step explanation

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21/36.

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icang [17]

Answer:

My answer is 78.55

Step-by-step explanation:

I've given the steps. Hope it really helps

4 0
3 years ago
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