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dimaraw [331]
3 years ago
8

Can you guys help me pls

Mathematics
2 answers:
Ganezh [65]3 years ago
8 0
Answer: 3

Explanation: When answering a question like this check to see if the line is a negative slope : or a positive slope:

use the steps: RISE-over-RUN

FOR EXAMPLE- this would be rise 3 run 1

3/1 or 3 :)
andrew11 [14]3 years ago
4 0
The slope would be y/x = 3/1 = 3
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Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th
weqwewe [10]

Answer:

<u>640 pounds </u>

Step-by-step explanation:

The rest of the question is the attached figure

So, the total volume = V(cylinder ) + V(cone)

The volume of cylinder = π r² h

The volume of cone = π r² h/3

Both of the cylinder and the cone have the same diameter = 14 inches

So, the radius = 14/2 = 7 inches

The height of the cylinder is 13 inches and the height of the cone is 9 inches.

So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³

And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³

So, the total volume = 2,001.2 + 461.8 = 2,463 in³

So, the total weight = 0.26 pounds per cubic inch times the total volume

                                = 0.26 * 2463 = 640.38 pounds

                                = <u>640 pounds (to the nearest pound)</u>

6 0
3 years ago
A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
P and a are both prime numbers. Find the values of p and q so that 6*54*p/q is a perfect cube.
daser333 [38]

6x54= 324

6x50=300

6x4=24

300+24=324

The previous nearest cube root is 216 and the next cube root would be 343.

p/q could be any prime number which there are a lot of.

im going to say p is 1 and q is 3

next you would divide 1 by 3

1/3=0.666666667

324x0.666666667=216 exact

3 0
3 years ago
(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to
densk [106]
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
 By definition we have that the volume of a rectangular prism is given by:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height
 We then have to replace the values:
 V = (7) * (5.5) * (2.5)
 V = 96.25 in ^ 3
 Equivalently:
 V = 96 1/4 in ^ 3


 B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

 No, this fish tank could not hold 100 in³ of water.
 This is because the prism volume (part A) is less than 100 in ^ 3.
 In other words;
 96 1/4 in ^ 3 <100 in ^ 3
4 0
3 years ago
What is 83 divided by 3
Ksivusya [100]
83 divided by 3. 
Exact Form: 83/3
Decimal Form: 27.66666666. . .
Mixed Number Form: 27 2/3
4 0
3 years ago
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