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hichkok12 [17]
2 years ago
12

You record the number of sunny days out of a sample of 90 randomly selected days in city a and city b. in city a's sample there

were 54 sunny days. in city b sample there were 63 sunny days.
Is City B significantly sunnier than City A? use a significance level of 0.05
Mathematics
1 answer:
Sergio039 [100]2 years ago
6 0

The significance level shows that z approximately equals 1.41 for a p-value of 0.078642.

<h3>How to calculate the p-value?</h3>

Based on the complete question, the sample proportion for city A will be:

= 54/90 = 0.60

The sample proportion for city B will be:

= 63/90 = 0.70

Using the table given, it can be deduced that the test statistic value will be 1.41. Therefore, the p-value will be 0.078652 in the Excel function.

Since the p-value is greater than 0.05, then we fail to reject the null hypothesis that there is no difference in the commute time.

Learn more about significance level on:

brainly.com/question/4599596

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It would be really helpful if anyone solved this for me !!!! It's differentiation.
Andrew [12]

Determine point A:

y(x)=\frac{10}{2x+1}-2\\\frac{10}{2x+1}-2=0\implies x=2

so A(2,0)

Find the function for the tangent:

\frac{dy}{dx}=-\frac{-20}{(2x+1)^2}

the tangent function is a line

y=ax + b = \frac{dy}{dx}|_A\cdot x + b\\

(with slope being the derivative evaluated at point A(2,0))

\frac{dy}{dx}|_A=-\frac{4}{5} so a=-4/5.

Determine b by using what we know about A:

y=-\frac{4}{5}x+b\\0=-\frac{4}{5}\cdot 2+b\implies b=\frac{8}{5}

so the function is

y = -\frac{4}{5}x+\frac{8}{5}\\5y + 4x = 8

(i) this is demonstrated above

(ii) distance AC: we know A(2,0) and C(0,5/8), the distance is:

\sqrt{(0-2)^2+(\frac{5}{8}-0)^2}=\sqrt{281}/8\approx 2.1


8 0
3 years ago
Pls help this is due in 30 min<br> Thank you sm
SOVA2 [1]
I hope this helps. Message me if you need another explanation

8 0
3 years ago
Please help ASAP! Thank you&lt;3
aliina [53]

Answer: I believe its 2

Step-by-step explanation:

Start on the top, 4 squared is 16, then divided by two is 8, plus 6 is 14, then on the bottom 4+3 equals 7 so then you get, 14/7 and that equals 2.

hope this helps

3 0
3 years ago
Read 2 more answers
Can someone help me with this. (Convert the repeating decimal to a fraction show all your work)​
marta [7]

Answer:

you cannot convert a repeating decimal into a fraction

Step-by-step explanation:

3 0
3 years ago
The length of a rectangle is 3 inches more than its width, and its perimeter is 22 inches. Find the width of the rectangle.
Rzqust [24]

Answer:

A. 4 in.

Step-by-step explanation:

= 3 +

22 = 2 + 2[3 + ] ↷

22 = 2 + 6 + 2

22 = 6 + 4

- 6 -6

-------------

16 = 4

4 =

I am joyous to assist you anytime.

4 0
3 years ago
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