Which expression is equivalent to Sine (StartFraction pi Over 12 EndFraction) cosine (StartFraction 7 pi Over 12 EndFraction) minus cosine (StartFraction pi Over 12 EndFraction) sine (StartFraction 7 pi Over 12 EndFraction)?

Answer:

Step-by-step explanation:

N=503

P=0.7

Sqrt(503×0.7(1-0.7))=10.28

The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.

It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

We have:

The value of n = 503

The value of p = 0.7

For the binomial distribution:

As we know,

The formula for the standard deviation:

σ = √[p(1 - p)n]

Plug the values of p, and n, we get:

σ = √[0.7(1 - 0.7)503]

σ = √[0.7(0.3)503]

σ = √[0.21x503]

σ = √[105.63]

σ = 10.277 ≈ 10.28

Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.

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Answer:

1st picture: (0,4)

The lines intersect at point (0,4).

2nd picture: Graph D

2x ≥ y - 1

2x - 5y ≤ 10

Set these inequalities up in standard form.

y ≤ 2x + 1

-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2

When you divide by a negative number, you switch the inequality sign.

Now you have:

y ≤ 2x + 1

y ≥ 2/5x - 2

Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).

In this case, it is all of them.

Next, you would look at the shaded regions.

The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.

That would mean Graph B or D.

Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.

Answer:

  A) (-4, 1)

  B) graph C

Step-by-step explanation:

A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.

__

B) Look at the given inequalities. You are looking for two things:

Here, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...

  2x ≥ -1

  x ≥ -1/2

The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)

For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.

See the second attachment for what we're talking about here.

Answer:

Step-by-step explanation:

Least to greatest:

7.083, 7.2, 7.21

Greatest to least:

7.2, 7.2, 7.083

Answer:

The answer would be 1.95

Step-by-step explanation:

Answer:

2\3x60=40

3\5x20=12

12+40=52

60-52=8

Answer:

16, 5, 28

Step-by-step explanation:

1 liter is equal to 4 servings

Answer:

x=1.6

y=4.8

z=9

Step-by-step explanation:

Answer:

X=12.5

Y=3.2

Z=6

Step-by-step explanation:

Answer:

2n+14

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is C

Step-by-step explanation:

From the question we are told that

  The sample  size for  Math SAT is  [tex]n_1 = 28[/tex]

   The  sample  size for  Verbal  SAT  is  [tex]n_2 = 25[/tex]

Generally the test statistics is mathematically represented as

 [tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

substituting  668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for  [tex] \sigma_1^2[/tex] , 6944.827 for  [tex]\sigma_2^2[/tex]

So

     [tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]  

=>   [tex]t =  1.627[/tex]

Answer:

1. 43, 45, and 47

2. 50, 52, and 54

3. 47 years old

4. 106 degrees

5. 66 degrees

Step-by-step explanation:

1. Let's assume that the first number in the three consecutive odd numbers is x.

We can write an equation to express this now. [tex]x + (x+2) = (x+4) + 41[/tex].

Combining like terms, we get [tex]2x+2 = x+45[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 43[/tex]. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.

2. Let's assume that the first number in the three consecutive even integers is x.

We can write an equation to express this now. [tex]x + (x+2) = (x+4)+48[/tex]

Combining like terms, we get [tex]2x+2 = x+52[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 50[/tex]. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54

3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.

[tex]x + (x+1) = 73[/tex]. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.

4. [tex](21x+1) + (14x+4) = 180[/tex]. Combining like terms, we get [tex]35x + 5 = 180[/tex] Subtracting by 5 on both sides, we get [tex]35x = 175[/tex] This means that [tex]x = 5[/tex]. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.

5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.

(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.

Answer:

4 5/8"

Step-by-step explanation:

quizlet will have all the answers btw

As we can see it's right angle triangle

so:

Answer:

16

Step-by-step explanation:

5x + 2y - 7z    

(x = 2, y = 10, z = 2)

First things first you would want to take the letters that the numbers are equal to and replace them with the numbers.

5(2) + 2(10) - 7(2)

Then you multiply the number that's beside the parentheses, 5(2) is the same as 5 x 2.

5(2) = 10

2(10) = 20

7(2) = 14

so now you have

10 + 20 - 14

10 + 20 = 30

30 - 14 = 16

and 16 is your final answer!

Answer:

The answer is 3 and 5

Step-by-step explanation:

3 and 5 is 15 (correct)

10 and 25 is 250 (not correct)

30 and 60 is 1800 (not correct)

60 and 75 is 450 (not correct)

Answer:

x=24

Step-by-step explanation:

HE= 1/3(HG)

x-3=1/3(4x-15)

3x-9=4x-15

-x=-24

x=24

Answer:

HE=3

Step-by-step explanation:

Equations

With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.

Data:

HE=1/3 HG

HE=x-3

HG=4x-15

Replacing the last two equations in the first:

x-3=1/3(4x-15)

Multiply both sides by 3:

3(x-3)=4x-15

Operate:

3x-9=4x-15

Moving x's to the left and numbers to the right:

3x-4x=-15+9

Joining like terms:

-x=-6

Multiply by -1:

x=6

Since HE= x-3:

HE=6-3

HE=3

Answer:

it will be shrunk by a factor of 0.8

Step-by-step explanation:

i just got it right

The parent absolute value function will be contract by factor 0.8.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

We have,

f(x) = 0.8 |x|

We know the 0.8 represent the scale factor which leads to dilation.

As, 0.8 < 1 then it means that the figure is going to be contract or smaller than original figure.

Thus, the Function will be contract by factor 0.8

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Answer:

5 and 6 or 25 and 36

Step-by-step explanation:

Answer:

8.5 minutes

Step-by-step explanation:

the bottle will have leaked half into the 2nd bottle, meaning the 2nd bottle has half too

It will take 17 minutes for the two bottles to have the same amount of water.

Something calculated for one is called unit rate.

Given that, A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle.

To have same amount of water both the bottles will have 17/2 = 8.5 ounces of water in them,

Since, it takes a minute to leak or fill half of an ounce,

Therefore, one ounce will take 2 minutes.

Therefore, 8.5 ounces will take = 8.5×2 = 17

Hence, it will take 17 minutes for the two bottles to have the same amount of water.

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Answer:

The answer is Planet B

Step-by-step explanation:

Earth has one bar and Nasa said Earth tempetaure is 15°C

Answer:

C. x - y = 0

Step-by-step explanation:

Step 1: find the slope (m) and y-intercept (b) of the graphed line.

Using the two points on the line (0, 0) and (2, 2),

Slope = [tex] \frac{rise}{run} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept (b) is the point at which the line intercepts the y-axis. Therefore, the y-intercept (b) = 0

Step 2: Generate an equation for the line in slope-intercept form using b = 0 and m = 1.

Substitute m = 1 and b = 0 into y = mx + b

y = 1(x) + 0

y = x

Step 3: rewrite the equation from slope-intercept form to standard form.

To express I'm standard form, take all terms with coefficient to the left, and leave the constant on the right side of the equation.

y = x

Subtract y from both sides

y - y = x - y

0 = x - y

x - y = 0

Answer:

B

Explanation: dont got one

Answer:

The smallest number you can add to 6412 to make it a perfect square is 149. Which would make 6561, and be the square 81

Step-by-step explanation:

Answer:

congruent angles

Step-by-step explanation:

Answer:

x=77.39

Step-by-step explanation:

57.72/.74

is 77.39189 but round it to 77.39

Answer:

10,955,072,115

Step-by-step explanation:

idek dwjejdjjriiwknansns

Step-by-step explanation:

nmjwjw

Answer:

She made $105.75 working as a waitress

She made $367.50 working as a maths tutor

Step-by-step explanation:

Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress.

Hence, the number of hours worked as a maths tutor =

30 - 9

= 21 hours

When she works as a waitress she receives $11.75 per hour

Hence, $11.75 × 9 hours

= $105.75

Hence, she made $105.75 working as a waitress

When she works as a math tutor she received $ 17.50 per hour.

$17.50 × 21 hours

$367.50

Hence, she made $367.50 working as a waitress

Answer:

ITS B

Step-by-step explanation:

HOPEFULLY THIS WORKS!!!

Answer:  No solutions.

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Work Shown:

4c + 5 < 4c + 3

4c+5-4c < 4c+3-4c ... subtract 4c from both sides

4c-4c+5 < 4c-4c+3

0c+5 < 0c+3

0+5 < 0+3

5 < 3 ... statement is false

Since that statement is false, this means the original inequality is false regardless of what you pick for c.

There are no solutions.