Which of the following is equivalent to tan(5n/6) PLEASE HELP I GIVE EXTRA POINTS AND BRAINLY

Answer:

a) A student travelling to school on public transport: 15/52 or 0.231

b) A student walking to school: 16/52 or 0.308

c) A student not cycling to school: 43/52 or 0.827

Step-by-step explanation:

Total people = 52

Travel Method          Frequency

Public Transport           12

Car                                 15

Cycle                               9

Walk                                16

Find the relative frequency of.

The formula used will be: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

a) A student travelling to school on public transport:

Given Frequency: 12

Size of sample space: 52

Apply formula: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

Fraction = 12/52

Decimal = 0.231

b) A student walking to school

Given Frequency: 16

Size of sample space. 52

Apply formula: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

Fraction = 16/52

Decimal = 0.308

c) A student not cycling to school.

We will consider all students except those who cycle.

12+15+16 = 43

Given Frequency: 43

Size of sample space. 52

Apply formula: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

Fraction = 43/52

Decimal = 0.827

so since you're only doing 10% of 30, you get 3

add 3 to 30 and you get 33

Answer:

B

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

both sides being negative turns it positive

Answer:

The 6th term of the sequence is 58.

Step-by-step explanation:

The sequence is given by the following definition:

[tex]t_n = 2^n - n[/tex]

Find the 6th term of the sequence

This means that [tex]n = 6[/tex]. So

[tex]t_6 = 2^6 - 6 = 64 - 6 = 58[/tex]

The 6th term of the sequence is 58.

Answer:

Greatest number of hours = 3

Step-by-step explanation:

Given that:

Initial charges = $10

Per hour charges = $5

Number of hours = h

Equation;

t = 10 + 5h

For finding the hours for $25, we will put t=25 in the equation

25 = 10 + 5h

25 - 10 = 5h

5h = 15

Dividing both sides by 5

[tex]\frac{5h}{5}=\frac{15}{5}\\h=3[/tex]

Hence,

Greatest number of hours = 3

Answer:

3

Step-by-step explanation:

Answer:7/5

Step-by-step explanation:

Answer:

x>4

Step-by-step explanation:

Answer: x>-4

Step-by-step explanation:

1. Add five to both sides [ this will cancel out the five ]

6x - 5 > -29

     +5    +5    

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

6x > -24

2. Divide by six on both sides

6x > -24

----    ------

6         6

WHICH EQUALS

x > -4      

Answer:

(x, y - 6)

Step-by-step explanation:

Answer:

y=1/2x-3

Step-by-step explanation:

First, let's put the line into slope intercept form

2y+4x=12

subtract 4x from both sides

2y=-4x+12

divide by 2

y=-2x+6

the slopes of perpendicular lines are negative and reciprocal. If you multiply the slopes of the lines together, the result is -1. Therefore, to find the slope of the perpendicular line, use this formula:

-2m=-1

divide by -2

m=1/2

so the slope of the perpendicular line is 1/2

here is the new line so far:

y=1/2x+b (b is a place holder)

now, since the line passes through the point (8,1), it means that (8,1) is a solution of the line. So we can substitute it into the equation

1=1/2(8)+b

1=4+b

subtract 4 from both sides

-3=b

so the line is y=1/2x-3

Hope this helps!

Answer:

I think its J, but I'm not 100% posative

Complete Question

Answer:

28.21875 gallons

Step-by-step explanation:

Step 1

From the above question:

1 shake = 6 ounces of milk

86 shakes = x

Cross Multiply

x = 86 × 6 ounces of milk

x = 516 ounces of milk

Step 2

1 gallon = 128 ounces

Hence:

For 1 day

128 ounces of milk = 1 gallon

516 ounces of milks = x gallon

Cross Multiply

128 ounces × x = 516 ounces × 1

x = 516 ounces /128 ounces

x = 4.03125 gallons

For 1 week = 7 days

1 days = 4.03125 gallons

7 days = x

Cross Multiply

x = 7 × 4.03125

x = 28.21875 gallons

Therefore, she needs to order 28.21875 gallons of milk each week

Answer:

29

Step-by-step explanation:

Answer:

What is it rounded up to???

Step-by-step explanation:

Answer:

20.5 miles

Step-by-step explanation:

add 8.2 + 8.2 = 16.4 + 4.1 = 20.5

Hope this helps! :)

Answer:

y=-7

Step-by-step explanation:

horizontal line means that it doen't cross the x axis, so you just ignore the x value

Answer: Interval, Ratio, ordinal

Step-by-step explanation:

Quantitative data refers to data with numerical variables and have numerical meaning for which mathematical inferences can be made. The interval scale is used are used only for quantitative variables. They provide an fixed and ordered arrangement on their scale and also provide useful and reasonable differences in values.

The ratio scale is another quantitative scale which is very similar to the interval scale, providing meaningful difference between the values. The ratio scale gives a true zero (zero here means none) value which is different from interval whose zero value does not mean real zero.

The ordinal scale can be applied to both Qualitative and quantitative variables, the scale gives a rank and ordered meaning to measurement. However, the numbers or scale values cannot be used for mathematical computation as they'll provide no useful meaning.

Answer:

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = 0.1587

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' =49

Mean of the Population = 17ppb

The standard deviation of the population = 14ppb

Let 'X' be the random variable in a normal distribution

[tex]Z = \frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{15-17}{\frac{14}{\sqrt{49} } } = -1[/tex]

Step(ii):-

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = P(Z<-1) = 1-P(Z>-1)

                             = 1-(0.5+A(-1))

                             = 0.5 - A(1)

                            = 0.5-0.3413

                            = 0.1587

Final answer:-

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = 0.1587

Answer:

0.16

Step-by-step explanation:

Answer:

D. 14

Step-by-step explanation:

4^2 - 2 (evaluate)

16 - 2 (calculate)

14

Answer:

the difference of 2 times d minus 3= 6

4 added to the difference of d minus 3= 4

the difference of d minus 3 divided by 2= 0

the quotient of 12 divided by the difference of 3 times d minus 3= 2

Step-by-step explanation:

2 times 3 equals 6. 3 minus 3 equals 0. 6-0=6

d minus 3 equals 0. 4+0 equals 4

3 minus d equals 0. 0 divided by two is 0

3 times d= 9. minus 3 = 6. 12 divided by 6 = 2

hope this helps! (:

The correct pairs are:

The difference of 2 times d minus 3 --> 3

4 added to the difference of d minus 3 --> 4

The difference of d minus 3 divided by 2 --> 0

The quotient of 12 divided by the difference of 3 times d minus 3 --> 2

Answer:

Step-by-step explanation:

Answer:

[tex]18cm<X<56cm[/tex]

Step-by-step explanation:

From the question we are told that

First side 37 cm

Second side 19 cm

Generally considering the triangle inequality theorem we have

  [tex]37+19>X\\X+37>19\\X+19>37[/tex]

Solving equations we have

  [tex]X<56\\X>18\\X>-18[/tex]

Generally from the inequalities the range of X is mathematically given as

[tex]X>18\\X<56[/tex]

[tex]18cm<X<56cm[/tex]

Therefore the range of the Third side is

[tex]18cm<X<56cm[/tex]

(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)

1. Just because a number looks big, doesn't mean it is big

Example: 1.00000000000001 < 1.1

just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"

2. Negative numbers are... opposite. and they are less than positive numbers

-3.4 > -4.1

Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers

I hope these tips helped!! :D

Answer:

12) 6.32, 6.318, 6.23, 6.108

13) 1.345, .654, .645, .456

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer: 39

Step-by-step explanation: You do 5-2=3 and then (3)3=9 then add 9 and 4 to get 13 and then do 13x3 and get 39

Answer:

10

Step-by-step explanation:

Answer:

3p=1/2

Step-by-step explanation:

3 p's balance with 1/2 making them equal

Answer:

= 6p Hope I helped. have a nice day!