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Licemer1 [7]
2 years ago
5

A recipe for chocolate chip cookies calls for 1 1/4 cups of flour .If you are making 2 1/4 recipes,how many cups of flour are ne

eded?​
Mathematics
1 answer:
Oksana_A [137]2 years ago
4 0

Answer:

2 11/12 cups of flour

Step-by-step explanation:

2 recipes are 2 1/2 cups of flour  

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12  

So, 2 11/12 cups of flour

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What is the value of x? 6x – 2 (x + 4) = 12<br><br>​
Nadusha1986 [10]

let's solve for x :

  • 6x - 2(x + 4) = 12

  • 6x - 2x - 8 = 12

  • 4x = 12 + 8

  • x =  \dfrac{20}{4}

  • x = 5

hence value of x = 5

8 0
2 years ago
(Variables on both sides of an equation)
kompoz [17]
Start by expanding the left side of the equation: -2(4x-7) is equal to -8x + 14.

This brings you to -8x+14 = -8x + 14.

Now add 8x to both sides. This brings you to 14 = 14

Now subtract 14 from both sides. This brings you to 0 = 0.

Thus your answer is 0 = 0, which is a true statement.

Hope this helps.
7 0
3 years ago
Read 2 more answers
The proportion of defective computers built by Byte Computer Corporation is 0.15. In an attempt to lower the defective rate, the
FinnZ [79.3K]

Answer:

a)<em> Null hypothesis : H₀</em>:  the proportion of defective item of computer has been lowered. That is P < 0.15

<u><em>Alternative hypothesis: H₁:</em></u> The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b)    Test statistic   Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

c)     Calculate the value of the test statistic = 0.991

d) The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Null hypothesis accepted at 0.01 level of significance

f) we accepted null hypothesis.

  Hence t<em>he proportion of defective item of computer has been lowered. </em>

Step-by-step explanation:

<u>Step(i)</u>:-

<em>Given the sample size 'n' = 42</em>

Given random sample of 42 computers were tested revealing a total of 4 defective computers.

The defective computers 'x' = 4

<em>The sample proportion of defective computers </em>

                                                                p = \frac{x}{n} = \frac{4}{42} = 0.095

<em>Given The Population proportion 'P' = 0.15</em>

<em>The level of significance ∝=0.01</em>

<u>Step(ii)</u>:-

a)<em> Null hypothesis : H₀</em>:  the proportion of defective item of computer has been lowered. That is P < 0.15

<u><em>Alternative hypothesis: H₁:</em></u> The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b)

    Test statistic   Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

                       

c)      

                 Z = \frac{0.095-0.15}{\sqrt{\frac{0.15(0.85)}{42} } }

                 z = \frac{-0.055}{\sqrt{0.00303} } = - 0.9991      

                     

  Calculate the value of the test statistic Z = - 0.9991

                                   |Z| = |- 0.9991| = 0.991

<u>Step(iii)</u>:-

d)

        The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e)   Calculate the value of the test statistic Z = 0.991 < 2.57  at 0.01 level of significance.

<u><em>Conclusion</em></u>:-

    Hence the null hypothesis is accepted at 0.01 level of significance.

f)

<em>     The proportion of defective item of computer has been lowered.</em>

 

6 0
3 years ago
Need help w this question thanksss!
elena55 [62]

Given:

A figure of a circle.

To find:

The value of x.

Solution:

Central angle theorem: According to this theorem, the central angle on an arc is twice of the subtended angle on that arc.

Using the central angle theorem, we get

x=2\times 35^\circ

x=70^\circ

Therefore, the value of x is 70 degrees.

4 0
2 years ago
Identify the transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x+3|
Alla [95]

Answer:

a horizontal translation by 3 units left

Step-by-step explanation:

f(x)= |x|

we are given with absolute function f(x)

g(x)  = |x+3|

To get g(x) from f(x) , 3 is added with x

If any number is added with x  then the graph of the function move to the left

Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)

So there will be a horizontal translation by 3 units



6 0
3 years ago
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