Find the value of each trigonometric ratio. Simplify if possible.

Answer:

1) 20%

2) 30%

3) 50%

Step-by-step explanation:

Answer:

1. 40%

2. 25%

3. 60%

Step-by-step explanation:

His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25

Answer:

75% correct and 25%error

Step-by-step explanation:

As 12÷16×100=75%

The error =100-75=25%

Answer:

Amount of selling cost = $228

Step-by-step explanation:

Given:

Amount of cost to store = $152

Mark up = 50%

Find:

Amount of selling cost

Computation:

Amount of mark up = Amount of cost to store x Mark up

Amount of mark up = 152 x 50%

Amount of mark up = $76

Amount of selling cost = Amount of cost to store + Amount of mark up

Amount of selling cost = 152 + 76

Amount of selling cost = $228

Answer:

$0.45x

Step-by-step explanation:

Fred earns dollars. Let Fred earns $x.

Chad earns 45% more than Fred.

We need to find the expression for Chad.

Chad amount = 45% of x

[tex]=\dfrac{45}{100}x\\\\=0.45x[/tex]

So, Chad earns $0.45x.

Answer:

C closed

Step-by-step explanation:

Answer:

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

Step-by-step explanation:

Given

The question has missing details, and it is poorly formatted.

See attachment for complete question

From the attachment, we have:

Calculate: [tex]P(Y = 3 | X = 2)[/tex]

This is calculated as:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

From the attached image, we have:

[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3

[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2

This gives:

[tex]P(X = 2) = 0.35[/tex]

So, we have:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

Answer:

10.5

Step-by-step explanation:

63,5,0,0,45,2,23,16

order from smallest to greatest

0, 0, 2, 5, 16, 23, 45, 63

median = center number

(5 + 16) / 2 =10.5

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

Answer:

49.568

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

what the other fella put 27

Step-by-step explanation:

Answer:

depth

Step-by-step explanation:

far is a describing distance

deep is describing depth

Answer:

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Step-by-step explanation:

(0,-3) goes on the straight line perfectly

(1, −1) goes on the straight line perfectly

(2, 1) goes on the straight line perfectly

this means that it is a linear function due to all the points being on the line

hope this helps!

The given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

A straight line on the coordinate plane is represented by a linear function.

Given function y = 2x − 3.

Clearly, it is a straight line.

At x = 0, y = 2*0 - 3 = 0 - 3 = - 3

At x = 1, y = 2*1 - 3 = 2 - 3 = - 1

At x = 2, y = 2*2 - 3 = 4 - 3 = 1

So, the given straight line passes through the points (0, -3),  (1, -1), and (2, 1). Then the given function is a linear function.

Therefore, we can conclude that the given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. So, the first option is correct.

Learn more about linear functions here -

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The required one banana cost, one apple cost, and a single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.

In mathematics, it deals with numbers of operations according to the statements.

There is b number of bananas and a number of apples.
The cost of total bananas and apples is $1.45 and $2.35.

(a) Cost of one banana is,
       For b bananas = $1.45
              dividing both side by b
             b/b bananas = $1.45/b
              1 banana = $1.45/b

(b) Cost of one apple is,

For a apples = $2.35
dividing both side by a
         a/a = $2.35/a
      1 apple = $2.35/a

(c) Single fraction is given by = cost of one banana/ cost of one apple
                                                =    (1.25/b) / (2.35/a)
                                                =   0.54* a/b

Thus the required one banana cost, one apple cost and single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.

Learn more about arithmetic here:

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Answer:

8 ( 3 − 1 )

Step-by-step explanation:

Answer:

a = 30°

Step-by-step explanation:

We need to find the value of a.

We know that, a straight line makes an angle of 180°.

In this case,

a+3a+2a = 180

6a = 180

a = 30°

So, the value of a is equal to 30°.

Answer: 3/20

Step-by-step explanation: (1/7) :(20/21) = (1/7 )· 21/20 = 21/(7·20)= 3/20

Answer:

60

Step-by-step explanation:

This is 4x15.

60 Burgers.

Answer:

lol the is no equation there to solve

Answer:

50 students

Step-by-step explanation:

20 is 40% of 50

because 50 x .40 = 20

Hope this helps!

Answer:

30

Step-by-step explanation:

40%/2=20%

20/2=10

100%-40%=60%

60%/3=20%

10x3=30

Answer:

good luck

Step-by-step explanation:

the mean is all of them added up then divided by how many numbers there are the median is where you put them in order putting the numbers in order then finding the middlel mode is the most of the same numbers and range is the biggest number

Answer:

mean- 104.83

median- 102

mode- 101

range- 28

Step-by-step explanation:

mean is all numbers added together then divided by however many numbers there are. sum of all numbers is 629, divided by 6 is 104.83 repeating.

median is the number in the middle. since there are six numbers and no middle one, the two in the middle (when ordered smallest to largest) are 101 and 103. the number between those two is 102 and therefore the median.

mode is the number that appears the most in the data set, which is 101 in this case.

range is the difference between the largest number and the smallest. the largest number is 121, minus 93, the smallest number, gives you 28.

hope this helps!

Answer:

540 mins | 9 hours | 540, 9

420 mins | 7 hours | 420, 7

300 mins | 5 hours | 300, 5

180 mins | 3 hours | 180, 3

Step-by-step explanation:

1 hour = 60 mins

To convert hours into minutes, multiply the number of hours by 60 minutes:

9 hours × 60 mins = 540 mins

7 hours × 60 mins = 420 mins

5 hours × 60 mins = 300 mins

3 hours × 60 mins = 180 mins

Answer:

9          540,     540,9

7          420      420,7

5          300      300,5

3           180      180,3

Step-by-step explanation:

There is 60 in one hour

9      *60    540,     540,9

7     *60     420      420,7

5     *60    300      300,5

3      *60    180      180,3

Hope that helps

Answer:

Step-by-step explanation:

1 /13

Answer:

1/13???

Step-by-step explanation:

Answer:

iii. priceof a house in Saratoga, N.Y.

Step-by-step explanation:

In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.

Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.

In this question:

Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.

Answer:

m∡P = 40°

Step-by-step explanation:

15m + 17 + 4m - 10 + 7m - 9 = 180

26m - 2 = 180

26m = 182

m = 7

∡P = 7(7) - 9 = 49 - 9 = 40

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm