Answer:
<em>9964</em><em> </em><em>is</em><em> </em><em>the correct answer</em>
<em>Given 94×106</em>
<em>We can write 94 as 100−6 and also 106 as 100+6</em>
<em>We know that (a+b)×(a−b)=a </em><em>^</em><em>2</em><em>−b </em><em>^</em><em>2</em>
<em>Here a=100 and b=6</em>
<em>Here a=100 and b=6Applying the above formula we get</em>
<em>(100+6)×(100−6)=(100) </em><em>^</em><em>2 −(6) </em><em>^</em><em>2</em>
<em>(100+6)×(100−6)=10000−36=9964</em>
Answer:
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Step-by-step explanation:
In this question we have to test an hypothesis.
The null and alternative hypothesis are:
![H_0: \pi\geq0.87\\\\H_a:\pi](https://tex.z-dn.net/?f=H_0%3A%20%5Cpi%5Cgeq0.87%5C%5C%5C%5CH_a%3A%5Cpi%3C0.87)
The significance level is assumed to be 0.01.
The sample of size n=80 gives a proportion of p=61/80=0.7625.
The standard deviation is:
![\sigma=\sqrt{\frac{\pi(1-\pi)}{N} }=\sqrt{\frac{0.87*0.13}{80} }=0.0376](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7BN%7D%20%7D%3D%5Csqrt%7B%5Cfrac%7B0.87%2A0.13%7D%7B80%7D%20%7D%3D0.0376)
The statistic z is then
![z=\frac{p-\pi+0.5/N}{\sigma}=\frac{0.7625-0.87+0.5/80}{0.0376} } =\frac{-10125}{0.0376} =-2.70](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bp-%5Cpi%2B0.5%2FN%7D%7B%5Csigma%7D%3D%5Cfrac%7B0.7625-0.87%2B0.5%2F80%7D%7B0.0376%7D%20%7D%20%3D%5Cfrac%7B-10125%7D%7B0.0376%7D%20%3D-2.70)
The P-value is
![P(z](https://tex.z-dn.net/?f=P%28z%3C-2.70%29%3D0.00347)
The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
12000 = 2x - 1500
12000 + 1500 = 2x
13500 = 2x
13500/2 = x
6750 = x <=== original price
If this is a trick question then it would be 8,because she would have lost the others to buy more pencils. If it is not a trick question then the answer would be 19.
Answer:
8 cups of water
Explanation:
2 cups of water = 3 cups of flour
x cups of water = 12 cups of flour
12/3=4
2x4=8