MATHEMATICS HIGH SCHOOL

A city is concerned that cars are not obeying school zones by speeding through them, putting children at greaterrisk of injury. The speed limit in school zones is 15 miles per hour. Throughout the course of one day, a police officer
hides his car on a side street that intersects the middle of the school zone and records the speed of each car that
passes through. The 36 cars that he recorded had an average speed of 16.33 mph with a sample standard deviation
of 2.54 mph.
Calculate the appropriate test statistic (Give as a decimal rounded to the nearest thousandth).

Answers

Answer 1

Answer:

Answer: test statistic = 0.002

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 15

For the alternative hypothesis,

µ > 15

The inequality sign means that it is right tailed.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 36,

Degrees of freedom, df = n - 1 = 36 - 1 = 35

t = (x - µ)/(s/√n)

Where

x = sample mean = 16.33

µ = population mean = 15

s = samples standard deviation = 2.54

t = (16.33 - 15)/(2.54/√36) = 3.14

We would determine the p value using the t test calculator. It becomes

p = 0.002

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It had wondering for days...

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We see that n is in the set of natural numbers (1,2,3,4,5,...), so of course m should be in the natural numbers. However, we see that 2n^2, when square rooted, is $n√(2)$ . With n in the natural numbers, the square root of m, or o, can never be a natural number but is always an irrational number. Therefore, this equation has no solutions.

Solve 5x + 14 = k for x.

Answers

Answer:

x = (k-14)/5

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x + 14-14 = k-14

5x = k-14

Divide by 5

5x/5 = (k-14)/5

x = (k-14)/5

Answer:

k - 14/5

Step-by-step explanation:

5x + 14 = k

On subtracting 14 on both sides,

5x = k - 14

On dividing by 5 on both sides,

x = k - 14/5

Therefore, the value of x = k-14/5

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What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81

Answers

Answer:16/243

Step-by-step explanation: multiply the numerator by -2 and multiply the denominator by 3.

Simplify the expression: 1/1+cot^2xa.sec^2x
b.csc^2x
c.sin^2x
d.cos^2x
e.tan^2x

Answers

$\sin ^( 2 ){ x } +\cos ^( 2 ){ x } =1\n \n \frac { \sin ^( 2 ){ x } }{ \sin ^( 2 ){ x } } +\frac { \cos ^( 2 ){ x } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } } \n \n 1+\cot ^( 2 ){ x } =\csc ^( 2 ){ x }$

Because of this...

$\frac { 1 }{ 1+\cot ^( 2 ){ x } } \n \n =\frac { 1 }{ \csc ^( 2 ){ x } }$

But...

$\frac { 1 }{ \csc ^( 2 ){ x } } =\sin ^( 2 ){ x }$

Therefore:

$\frac { 1 }{ 1+\cot ^( 2 ){ x } } =\sin ^( 2 ){ x }$

Answer:

(c)

How many digits will be in the quotient of 588divided by 6 use place value to explain

Answers

The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.

The numbers are given below.

588 and 6

Then the division between the numbers 588 and 6 will be given by putting a division sign between them. Then we have

⇒ 588 ÷ 6

⇒ 588/6

⇒ 98

The value of the expression 588 ÷ 6 will be 98. Then the number of digits is 2.

More about the Algebra link is given below.

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There will be only 2 digits because 588 divided by 6 is 98. Since the 9 is in the tens place and the 8 is in the ones place.

Q ÷ 2 -qp ÷ 6; let p = -6 and q = 10