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STatiana [176]
3 years ago
15

Solve each equation below and write the answer on the line. Plan to spend 6 minutes total on this question. What is X?

Mathematics
1 answer:
zepelin [54]3 years ago
6 0
A) x= -15/7
B) x= -2
C) x= -3
D) x= 3
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Louis built a swimming pool. The depth of the swimming pool is 5 feet. What is the volume of water that it will take to fill the
julia-pushkina [17]

Answer:

For a rectangular prism-like swimming pool: V = w\cdot l \cdot h. V = 360\,ft^{3} when h = 5\,ft, l = 12\,ft and w = 6\,ft.

Step-by-step explanation:

Let assume that swimming pool has a rectangular base and depth is the same  at any point at the bottom. In addition, let w and l be the width and length of the swimming pool. Then, the volume needed to fill the swimming pool is:

V = w\cdot l \cdot h, where h is the depth of the pool.

Let be h = 5\,ft, l = 12\,ft and w = 6\,ft. The volume of the swimming pool is:

V = (6\,ft)\cdot (12\,ft)\cdot (5\,ft)

V = 360\,ft^{3}

3 0
3 years ago
Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 b
77julia77 [94]

Answer:

The value is UCL  =  10.8  

Step-by-step explanation:

From the question we are told that

    The sample mean is  \= x  =  9 \  ounce

    The sample size is  n =  25

    The standard deviation is  \sigma =  3 \ ounce

Given that the sample size is not large enough i.e  n<  30  we will make use of the student t distribution table  

From the question we are told the confidence level is  99.7% , hence the level of significance is    

      \alpha = (100 -99.7 ) \%

=>   \alpha = 0.003

Generally the degree of freedom is  df =  n- 1

=>  df =  25 - 1

=>  df =  24  

Generally from the student t distribution table the critical value  of  \frac{\alpha }{2} at a degree of freedom of df =  24   is  

   t_{\frac{\alpha }{2} , 24 } = 3.0

Generally the margin of error is mathematically represented as  

      E = t_{\frac{\alpha }{2} , 24} *  \frac{\sigma }{\sqrt{n} }

=>     E = 3.0 *  \frac{3 }{\sqrt{25} }

=>     E =1.8

Gnerally the  upper control chart limit  for 99.7% confidence is mathematically represented as

         UCL  =  \= x  + E

=>      UCL  =  9 + 1.8  

=>      UCL  =  10.8  

     

4 0
2 years ago
Jack charges $40 initial fee plus $30 an hour to work on vehicles. Mark charges $25 an hour with a $50 initial fee. to work on v
Nostrana [21]

Answer:

Step-by-step explanation:

Let the equal number of hours be represented by variable H;

The two equations will be as follows;

Jack; 40 +30H

Mark; 50 +25H

Next, equate them;

40 + 30H = 50 + 25H

30H - 25H = 50 - 40

5H = 10

H =10/5

H = 2hrs

Therefore, they charge the same amount at 2 hrs.

B.) The amount charged;

Replace the variable H in any of the two equations above with 2 to solve for the amount.

Equation 40+30H = 40 + (30*2)

=40 + 60

= $100

4 0
3 years ago
What is -25pi over 12 in degrees
Vesnalui [34]

Answer: <em>0=75degrees</em>

<u><em>Have a Great Day/Night</em></u>

8 0
2 years ago
Someone help me with my math homework?
Oduvanchick [21]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
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