Write the ratio as a unit rate. Simplify. 216 diving student and 12 instructor

Answer:

x=3

Step-by-step explanation:

I guess you have to find

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}[/tex]

given that [tex]\tan\theta=\frac8{15}[/tex].

We can immediately solve for [tex]\sec\theta[/tex]:

[tex]\sec^2\theta=1+\tan^2\theta\implies\sec\theta=\pm\dfrac{17}{15}[/tex]

(without knowing anything else about [tex]\theta[/tex], we cannot determine the sign)

Then we get [tex]\cos\theta[/tex] for free:

[tex]\cos\theta=\dfrac1{\sec\theta}=\pm\dfrac{15}{17}[/tex]

and we can now solve for [tex]\sin\theta[/tex]:

[tex]\sin^2\theta+\cos^2\theta=1\implies \sin\theta=\pm\dfrac8{17}[/tex]

Notice that we have 2*2 = 4 possible choices of sign for either sin or cos.

• If both are positive, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{90}[/tex]

• If both are negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{480}[/tex]

• If sin is positive and cos is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{480}[/tex]

• If cos is positive and sin is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{30}[/tex]

Answer:

7 <  3N+1 < 11

6 < 3n < 10

2 < n < 10/3

Step-by-step explanation:

The required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.

Given that,
Three times a number, increased by one, is between negative eleven and seven. the number is to be determined.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Accoding to the condition let the number be x,
and
-11 < 3x + 1 < 7
-12 < 3x < 6
-4 < x < 2
So the number are -3, -2, -1, 0, anb 1

Thus, the required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.

Learn more about inequality here:

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Answer: X=6

you would do 30 - 12 witch equals 18

than you would do 18 divided by 3 witch is 6 so it is x = 6

Answer:

59

Step-by-step explanation:

c=coffee, j=juice

c + j >=127

j = c +9

c + c + 9 >=127

2c >=127-9

2c>=118

c>= 59

check by 59+59+9=127

Answer:

The answer is -11/6

Step-by-step explanation:

Answer:

y=0x-1

Step-by-step explanation:

Slope-int form: y=mx+b

Both points have the same y value and different x values, so the slope (m) is 0.

Since the y-intercept is (0, -1), b=-1

Answer: The percent markup for a shell necklace = 200%

Step-by-step explanation:

Given: Cost price per necklace = $3.75

Selling price per necklace =  $11.25

Mark up = (Selling price -  Cost price )

= $ (11.25 -3.75 )

=$ 7.5

The percent markup for a shell necklace = [tex]\dfrac{\text{Mark up}}{\text{cost price}}\times100\%[/tex]

[tex]=\dfrac{7.5}{3.75}\times100\%\\\\=2\times100\%=200\%[/tex]

Hence, The percent markup for a shell necklace = 200%

The percent markup for a shell necklace is 200%.

Markup can be defined as the rate at which the cost of a product is increased. The higher the markup, the higher the profit earned by a seller all things being equal.

Percentage markup = (profit / cost price) x 100

Profit = $11.25 - $3.75 = $7.50

Percentage markup = ($7.50 / $3.75) x 100 = 200%

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

The second graph  (where the line goes through the points -2 and 1)

Step-by-step explanation:

A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.

Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.

Answer:

The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Step-by-step explanation:

The net change in 7 students' scores on the exam after completing the course are:

S = {37 ,12 ,12 ,17 ,13 ,32 ,23}

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]

As the population standard deviation is not known, a t-interval will be formed.

Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]

*Use a t-table.

Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]

     [tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]

Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Answer: 2472

Step-by-step explanation: It is just 2744 minus 272

Answer:

2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper

Answer:

0, 5, 18, 22, 100

Step-by-step explanation:

Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.

Hope This Helps :)

Answer: not mutually exclusive

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

-_/18 = -4.24 which is less than -4

Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)

If that is the case, then vector v = (-2,4) and vector u = (2,1)

Add the corresponding coordinates to get

v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)

The general rule for adding vectors is

if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)

Answer:

(a) 0.5282

(b) 0.4718

Step-by-step explanation:

It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .

It is also provided that the box selected has 6 defective keyboards.

So, the probability of selecting a defective keyboard is, p = 6/20.

Let X = number of defective keyboards.

The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.

(a)

Compute the probability that this shipment will be accepted as follows:

[tex]P(X\leq 1)=P(X=0)+P(X=1)[/tex]

               [tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]

Thus, the probability that this shipment will be accepted is 0.5282.

(b)

Compute the probability that this shipment will not be accepted as follows:

P (shipment not accepted) = 1 - P(shipment accepted)

                                          = 1 - 0.5282

                                          = 0.4718

Thus, the probability that this shipment will not be accepted is 0.4718.

that is a rational number.

Answer:

y=2

y=0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7*y-1-(3*y^2+y-1)=0

(7y - 1) -  ((3y2 +  y) -  1)  = 0  3.1     Pull out like factors :

  6y - 3y2  =   -3y • (y - 2)

Answer:

y = -21/2

Step-by-step explanation:

multiply both sides of the equation by 21 so it would be

7y+42=3y

move the terms

7y-3y=-42

collect like terms

4y=-42

divide both sides by four

y= -21/2

Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}

Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.

That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}

Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.

Answer:

death valley<tallahassee | Death valley<westmooreland

Step-by-step explanation:

sorry if this is wrong i dont understand

Answer:

death valley<talahasse.

the negative value of death valley is less than talahasse.

Step-by-step explanation:

a negative number is way lower than a positive number.

Answer:

40?

Step-by-step explanation:

it literally tells you?

Answer:

90 because 65 plus 25 is 90.

Step-by-step explanation:

65 plus 25 is 90 and

Answer: x = 18/b

................................

Answer:

you can put your answer as 9 or 2

Step-by-step explanation:

Answer:

We will use the thales's theorem to solve for x

Let ? be x

then, the other segment on the same line as x will be 20 - x since the line is 20 units long

According to thales's theorem:

"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"

Hence, we can write that,

9 / 3 = 20-x / x

3x = 20 -  x

4x = 20

x = 5 units

Hence, the length of the line segment marked as '?' is 5 units

Answer:

the coordinates of b is (9,7)  

the coordinates of a is (-4,-6)

Step-by-step explanation:

She can make 2 goodie bags.

13 lollipops

17 tootsie rolls

The GCF (greatest common factor) of 26 and 14 is 2; therefore making the greatest number of goodie bags she can make is 2.

If you divide both the numbers (26,14) by 2, you get 13 and 17.

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