<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
Yes depending on her purchase. If it is over 90.00 dollars then no she will not.
Answer:- The smaller integer is -5.
Explanation:-
Let the first consecutive integer be x and the second consecutive integer be x+1.
According to the given question:-
x+6(x+1)= -29
⇒x+6x+6= -29 [distributive law]
⇒x+6x= -29-6 [subtract 6 on the both sides]
⇒7x= -35 [combining like terms ]
⇒x= -5 [dividing 7 on both sides]
Thus the smaller integer =x= -5
larger integer =x+1= -5+1= -4
To solve for x
bx=-7
divide b on both sides
x=-7/b
to solve for b
bx=-7
divide x on both sides
b=-7/x
Answer:
social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%
Sample size 'n' = 625
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given data Apple launches an ad campaign for iPhone 12
Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign
probability of positive reactions p = 1/2
Probability of negative reactions q = 1-p = 1/2
we know that ![\sqrt{p(1-p}\leq \frac{1}{2}](https://tex.z-dn.net/?f=%5Csqrt%7Bp%281-p%7D%5Cleq%20%5Cfrac%7B1%7D%7B2%7D)
<u><em>Step(ii):</em></u>-
Given margin of error = 2 % =0.02
The margin of error is determined by
![M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }](https://tex.z-dn.net/?f=M.E%20%3D%20%5Cfrac%7B%5Csqrt%7Bp%281-p%7D%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
![0.02 = \frac{\frac{1}{2} }{\sqrt{n} }](https://tex.z-dn.net/?f=0.02%20%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%20%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
![\sqrt{n} =\frac{1}{2 X0.02}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%5Cfrac%7B1%7D%7B2%20X0.02%7D)
√n = 25
squaring on both sides, we get
n = 625