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DochEvi [55]
3 years ago
10

a cook needs 12 pounds of flour he wants to spend the least amount of money if a 2 pound bag costs $1.59 and a 5 pound bag costs

$2.89 how many bags of each type of flour should he buy what will be the total cost
Mathematics
2 answers:
Virty [35]3 years ago
4 0
He should buy two 5 pound bags and one 2 pound bag.
Anna [14]3 years ago
4 0
Two five pound bags one two pound
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There is strong believe that language skills of Political science students are greater than students who study Finance. Research
BaLLatris [955]

Answer:

a

The null hypothesis is  H_o :  \mu_1 = \mu_2

The alternative hypothesis  H_a : \mu_1 >  \mu_2

b

p-value   = 0.232

c

    The decision rule is  

Fail to reject the null hypothesis

Step-by-step explanation:

From the question we are told that

  The value given is  

S/N

1       7 5

2      4 3

3      8 7

4      8 8

5      7 9

6      7 5

7      6 5

Generally the sample mean for the first sample  is  mathematically represented as

        \= x _1 = \frac{\sum x_i }{n}

=>     \= x _1 = \frac{7 +4 + \cdots + 6}{7}

=>     \= x _1 =  6.714

Generally the sample mean for the second sample is mathematically represented as

        \= x _2 = \frac{\sum x_i }{n}

=>     \= x _2 = \frac{5 + 3+ \cdots + 5}{7}

=>     \= x _2 =  6

Generally the sample standard deviation  for the first sample  is  mathematically represented as

           s_1 = \sqrt{\frac{\sum (x_i - \= x_1)^2 }{n-1 } }

=>       s_1 = \sqrt{\frac{ (7 - 6.714 )^2 +(4 - 6.714 )^2 + \cdots + (6 - 6.714 )^2 }{7-1 } }

=>       s_1 = 1.905

Generally the sample standard deviation  for the second  sample  is  mathematically represented as

           s_2 = \sqrt{\frac{\sum (x_i - \= x_2)^2 }{n-1 } }

=>       s_2 = \sqrt{\frac{ (5 - 6.714 )^2 +(3 - 6.714 )^2 + \cdots + (5 - 6.714 )^2 }{7-1 } }

=>       s_1 = 4.33

Generally the pooled standard deviation is  

      s = \sqrt{\frac{(n_1 - 1 )s_1^2 + (n_2 - 1 )s_2^2}{n_1 + n_2 -2 } }

=>    s = \sqrt{\frac{(7 - 1 )1.905^2 + (7 - 1 )4.333^2}{7 + 7 -2 } }

=>    s = 1.766

The null hypothesis is  H_o :  \mu_1 = \mu_2

The alternative hypothesis  H_a : \mu_1 >  \mu_2

Generally the test statistics is mathematically represented as

      t = \frac{\= x _1 - \= x_2 }{s * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}  }

=>   t = \frac{6.714  - 6 }{1.766  * \sqrt{\frac{1}{7} + \frac{1}{7}}  }

=>   t = 0.757

Generally the degree of freedom is mathematically represented as

     df = n_1 + n_2 - 2

=>   df = 7 + 7 - 2

=>   df = 12

From the t distribution table the probability of  t = 0.757 at a degree of freedom of df = 12 is  

     t_{ 0.757 , 12} = 0.232

Generally the p-value is  

      p-value  = t_{ 0.757 , 12} = 0.232

From the values  obtained we see that p-value >  \alpha  hence  

   The decision rule is  

Fail to reject the null hypothesis

8 0
3 years ago
Determine the range of the function.
Naya [18.7K]

Answer:

Solution: f(x)\ge-5\\Interval:[-5,\infty)

Step-by-step explanation:

Equation: \frac{1}{4} x^2-5 = y

1). \frac{1}{4} x^2-5 = y →\frac{x^2}{4}-5=y

2). \frac{x^2}{4}-5=y ∴ a=\frac{1}{4}, b=0, c=-5

3). x_v=-\frac{b}{2a}

         =-\frac{0}{2(\frac{1}{4})}

         =0

4). now plug x_v into y_v

y_v=\frac{0^2}{4}-5

    =-5

5). Minimum (0,-5) ∴ f(x)\ge-5

4 0
3 years ago
I’ll gift u a milf if you answer
Sveta_85 [38]

Answer:

x = - \frac{11}{2}

divide each term by two and simplify.

Give me my milf.

8 0
3 years ago
UURGENTTT PLLZ HELP WILL MARK AS BRANLIEST!!!
lapo4ka [179]

Answer:

Surface area of the wood to be painted =  (r^{2} + r \sqrt{h^{2} + r^{2}  } )\pi - 16\pi

Step-by-step explanation:

Surface area of a cone is given as the sum of the surface area and the area of its base.

     i.e    Surface area = \pir^{2} + \piLr

where: L is the length of its slant height and r is the radius.

Applying the Pythagoras theorem,

                        L = \sqrt{h^{2} + r^{2}  }

Thus,

                Surface area  =  \pir (r + \sqrt{h^{2} + r^{2}  } )

The given cylindrical hole has a radius of 4 cm and depth 2 cm.

The area of one of its circular surfaces = \pir^{2}

                                                   = \pi × (4)^{2}

                                                   = 16\pi cm^{2}

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.

Surface area of the wood to be painted = \pir (r + \sqrt{h^{2} + r^{2}  } ) - 16\pi

7 0
3 years ago
Are these right triangles ?<br> Answer please ASAP
V125BC [204]

Answer: Yes.

Step-by-step explanation: Right triangles are 90° and with a square. This is a right triangle. Just remove the line that makes it a triangle, you'll see.

4 0
3 years ago
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