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Rudiy27
3 years ago
6

The head of public safety notices that the average driving speed at a particular intersection averages μ = 35 mph with a standar

d deviation of σ = 7.5 mph. After a school speed limit sign of 20 mph is placed at the intersection, the first 40 cars travel past at an average speed of 32 mph. Using the .01 significance level, was there a significant change in driving speed?
a. Use the five steps of hypothesis testing (report results in APA format).

b. Sketch the distributions involved.

c. Figure the confidence limits for the 99% confidence interval.
Mathematics
1 answer:
tangare [24]3 years ago
7 0
The answer is C because its the only one that makes sense when you see what the question is asking you
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$3500 is deposited into a bank account earning 6.75% interest compounded monthly. How long will it take to double in the account
nekit [7.7K]

Answer:

Compounded monthly:  It will take 10 years, 4 months to double

Compounded continuously:  They will make $13.65 more

Step-by-step explanation:

Set up the first part using the equation for compounding interest that is not continuous...

A = P(1 + r/n)^(nt)    where r is the rate as a decimal, n is the number of times the interest is compounded, A is the final amount, t is number if years it is compounded for, and P is the initial principle (or deposit)

Plug in what w have.  We want our $3,500 to double, so P = 3500, A = 7000,

r = 0,0675 and n = 12

7000 = 3500(1 + 0.0675/12)^(12t)

We need to solve for t.  First divide both sides by 3500

2 = (1 + 0.0675/12)^(12t)

use natual log rules to solve for t...

ln (2) = (12t)ln(1.005625)

[ln (2)]/[ln (1.005625)] = 12t

123.5724150 = 12t

 

   10.29770125 = t

 

      Or 10 years 4 months  (technically 10 years, 3.57 months, but the interest is compounded by the full month, so we need to round up)

When the interest is compounded continuously, we use the fromula

A = Pe^(rt)        plug in the info we are given to find out how much more we can make...

A = 3500e^(0.0675*10.29771025)       { here we use the actual value we found for t in the last part since the interest is compounded continuously}

A = 7,013.65

That's $13.65 more than when it was compounded monthly for the same time

7 0
3 years ago
Tomas learned that the product of the polynomials <img src="https://tex.z-dn.net/?f=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29" id="TexFo
Liula [17]

We are provided , Tomas learned <em><u>that a³ + b³ = (a + b ) ( a² - ab + b² )</u></em> , and his teacher writes four products on the board and we have to tell that which product suits the best if <em><u>a = 2x</u></em> and <em><u>b =</u></em><em><u> </u></em><em><u>y</u></em>

Now , putting a = 2x , b = y in the given formula we have :

{:\implies \quad \sf (2x)^{3}+(y)^{3}=(2x+y)\{(2x)^{2}-2\cdot x\cdot y+(y)^{2}\}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(2x)^{3}+(y)^{3}=(2x+y)(4x^{2}-2xy+y^{2})}}}

Hence , The product <em>(2x+y) (4x²-</em><em>2</em><em>xy+y²)</em> would result in the sum of cubes of 2x & y :D

3 0
2 years ago
What are the operations used to <br> solve this equation5/6x-2=-2/3x+1
SashulF [63]
Addition
multiplication
4 0
3 years ago
What is the difference in length between the shortest and longest book from looking at picture above ?
svetlana [45]

Answer:

7 inches.

Step-by-step explanation:

Longest book length - Shortest book length

12-5

=7

7 0
3 years ago
What are the outputs of the following function?
NISA [10]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
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