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ddd [48]
3 years ago
12

Hiya! Here's my question:

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

wait i got it!

Since 18 kilograms are 18000 grams, you have

18000/30=600

and

800/30=26.6

So, with 18 kilograms of salt the baker can make exactly 600 batches with no leftovers, while with 800 grams of salt the baker can make 26 batches, with some leftovers.

In fact, 26 batches require

26 x 30 =780

grams of salt, and the remaining

800-780=20

grams of salt are not enought to prepare the next batch

Step-by-step explanation:

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Answer:

9 {x}^{2}  + 24x + 18

Step-by-step explanation:

Use rainbow expansion method.

7 0
4 years ago
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Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numb
dezoksy [38]

Answer:

The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

<u>Step-by-step explanation</u>:

<em>Given first sample size n₁ = 677</em>

<em>First sample proportion </em>

<em>                              </em>p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{172}{677} = 0.254<em></em>

Given second sample size n₂ = 3377

<em>second sample proportion </em>

<em>                              </em>p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{654}{3377} = 0.1936<em></em>

<u><em>Null Hypothesis : H₀ :</em></u><em>  p₁ = p₂.</em>

<u><em>Alternative Hypothesis : H₁</em></u><em> :  p₁ ≠ p₂.</em>

      Test statistic

                Z = \frac{p_{1} ^{-}-p^{-} _{2}  }{\sqrt{P Q(\frac{1}{n_{1} } +\frac{1}{n_{2} }) } }

where

        P = \frac{n_{1} p_{1} + n_{2} p_{2}  }{n_{1}+n_{2}  } = \frac{677 X 0.254+3377 X 0.1936}{677+3377}

       P =  0.2036

      Q = 1 - P = 1 - 0.2036 = 0.7964

       

         Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964(\frac{1}{677 } +\frac{1}{3377 }) } }

        Z =  3.775

<em>Critical value ∝=0.05</em>

<em>Z- value = 1.96</em>

<em>The calculated  value Z = 3.775 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The Two Population proportion are not equal</em>

<em></em>

3 0
3 years ago
A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equat
wel
How do u make a paper airplane
3 0
3 years ago
Which answer shows all the like terms in this list<br> 4x,1/2x,2y,4,x,3x
wel
You haven't shared the answer choices.

Let's rewrite that first x term:  {<span>4x, (1/2)x, 2y, 4, x, 3x), also leaving more space between the answer choices.

I see four x-terms in  { </span>4x, (1/2)x, 2y, 4, x, 3x } .  The like terms are {4x, (1/2)x, x, 3x }.  There are no other groups of like terms.
3 0
3 years ago
Let f(x)=x^2-6x+13. what is the vertex form of f(x)? what is the minimum value of f(x)?
Oksana_A [137]

Answer:

The vertex form of a quadratic equation is:

f(x) = (x-3)^2+4

the minimum value of f(x) is y=4

Step-by-step explanation:

Given a quadratic equation of the form f (x) = ax ^ 2 + bx + c then the x coordinate of the vertex is

x=-\frac{b}{2a}

So for  f(x)=x^2-6x+13

a=1\\b=-6\\c=13\\

Therefore

The x coordinate of the vertex is:

x=-\frac{(-6)}{2(1)}

x=3

The y coordinate of the vertex is:

f(3)=(3)^2-6(3)+13

y=f(3)=4

By definition the minimum value of the quadratic function is the same as the coordinate of y of its vertex

So the minimum value  is y=4

The vertex form of a quadratic equation is:

f(x) = a(x-h)^2+k

Where

a is the main coefficient. a=1

h is the x coordinate of the vertex. h=3

k is the y coordinate of the vertex. k=4

So the vertex form of a quadratic equation is:

f(x) = (x-3)^2+4

4 0
3 years ago
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