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trasher [3.6K]
3 years ago
7

Combine the like terms to create an equivalent expression -k-(-8k)

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

Answer:

-k+8k=7k is the solution

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In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the
mote1985 [20]
<h2>Answer with explanation:</h2>

Given : In a restaurant, the proportion of people who order coffee with their dinner is p.

Sample size : n= 144

x= 120

\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-

Null hypothesis : H_0: p\geq0.85   [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : H_1: p  [its exactly opposite of null hypothesis]

∵Alternative hypothesis is left tailed, so the test is a left tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-0.56

Using z-vale table ,

Critical value for 0.05 significance ( left-tailed test)=-1.645

Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.

Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.

8 0
3 years ago
Solve x3= 27.<br> A = 13<br> B. x= 5.2<br> C. x=3<br> D. x=9
scoray [572]

Answer:

x³=27

cuberoot√x³=cuberoot of 27

x=3

3 0
3 years ago
Read 2 more answers
What is the LCM of 80 and 60​
Gennadij [26K]

Answer:

240

Step-by-step explanation:

5 0
3 years ago
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Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided
scoray [572]
Let me express the equation clearly:

lim x→-9  (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation. 

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

7 0
3 years ago
2x to the power of 2 + x = ? When x=9
oee [108]

Answer:

Step-by-step explanation:

2x to the power of 2 + x = ? When x=9

(2x)^2 + x

= 4x^2 + x

When x = 9

= 4(9)^2 + 9

= 4(81) + 9

= 324 + 9

= 333

8 0
3 years ago
Read 2 more answers
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