If θ is an angle in standard position whose terminal side lies in quadrant III and sin θ=-√3/2, find the exact value of the tan θ

Answer:

Step-by-step explanation:

This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is

where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then

a = 5000

If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So

b = 1.035

Our function is

where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.

and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.

Begin by dividing both sides by 5000 to get

and take the natural log of both sides:

The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:

To solve for x, we now divide both sides by ln(1.035):

Do that division on your calculator and get that

x = 11.0 years.

That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)

Answer:

C) 2/100

Step-by-step explanation:

0.02 = 2/100

Answer:

It Is C

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

$51 + $14

$65

Answer:

$65

Step-by-step explanation:

14+51=61

Answer:

$3.25

Step-by-step explanation:

Given that:

Mean, λ = 1.4

Strike within next minute = $3 won

Strike between one and 2 minutes = $5

Strike more than 2 minutes = $1

Probability that next strike occurs within the next minute :

Using poisson :

P(x < 1) = 1 - e^-(λx) ;

P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4

P(x < 1) = 1 - 0.2465969

P(x < 1) = 0.7534030

Next strike occurs between 1 and 2 minutes :

(1 < x < 2) :

P(x < 2) - P(x < 1)

P(x < 2) = 1 - e^-(λx) ;

P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8

P(x < 2) = 1 - 0.0608100

P(x < 2) = 0.9391899

P(x < 2) - P(x < 1)

0.9391899 - 0.7534030 = 0.1857869

P(striking after 2 minutes)

P(x > 2) = e^-(λx) ;

P(x > 2) = e^-(1.4*2) = e^-2.8

P(x > 2) = 0.0608100

Amount charged :

(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)

= 3.2499

= $3.25

Answer:

141

Step-by-step explanation:

Area of triangle = 24

Area of Trapezoid= 117

117+24

141

Answer:

94.5

Step-by-step explanation:

Answer:

σX​ = 3161

Step-by-step explanation:

The standard deviation is the square root of the multiplication of each probability multiplied by the squared difference between the values and the mean.

In this question:

[tex]\sigma X = \sqrt{0.999*(200-100)^2 + 0.001*(-99800-100)^2} = 3160.7[/tex]

Rounding to the nearest dollar, σX​ = 3161

Answer:

5/6

Step-by-step explanation:

quotient of 2/11 and 4/11 is 22/44 or 1/2

5/3 · 1/2 = 5/6

Answer:

Parallelogram

Step-by-step explanation:

Opposite sides are parallel

Answer:

99% of the sample means will fall between 0.93288 and 0.94112.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The true mean is .9370 with a standard deviation of 0.0090

This means that [tex]\mu = 0.9370, \sigma = 0.0090[/tex]

Sample of 32:

This means that [tex]n = 32, s = \frac{0.009}{32} = 0.0016[/tex]

Within what interval will 99 percent of the sample means fall?

Between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile.

0.5th percentile:

X when Z has a pvalue of 0.005. So X when Z = -2.575.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-2.575 = \frac{X - 0.9370}{0.0016}[/tex]

[tex]X - 0.9370 = -2.575*0.0016[/tex]

[tex]X = 0.93288[/tex]

99.5th percentile:

X when Z has a pvalue of 0.995. So X when Z = 2.575.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]2.575 = \frac{X - 0.9370}{0.0016}[/tex]

[tex]X - 0.9370 = 2.575*0.0016[/tex]

[tex]X = 0.94112[/tex]

99% of the sample means will fall between 0.93288 and 0.94112.

Answer:

Step-by-step explanation:

volume₁ = π5²·8 = 200π cm³

volume₂ = π5²·24 = 600π cm³

volume₂ = 3×volume₁

Answer:

It is 3, hopefully you got a good score! :D

Step-by-step explanation:

Answer:

The median of A is the same as the median of B.

The interquartile range of B is greater than the interquartile range of A.

Step-by-step explanation:

Given that:

A = number of runs allowed in first 9 games

A = {1, 4, 2, 2, 3, 1, 1, 2, 1}

Rearranging A : 1, 1, 1, 1, 2, 2, 2, 3, 4

Median A = 1/2(n + 1) th term

Median A = 1/2(10) = 5th term = 2

Q1 of A = 1/4(10) = 2.5th term = (1 + 1)/ 2 = 1

Q3 of A = 3/4(10) = 7.5th term = (2+3)/2 = 2.5

Interquartile range = Q3 - Q1 = 2.5 - 1 = 1.5

Number of runs allowed in 10th game = 9

B = {1, 4, 2, 2, 3, 1, 1, 2, 1, 9}

Rearranging B = 1, 1, 1, 1, 2, 2, 2, 3, 4, 9

Median A = 1/2(n + 1) th term

Median A = 1/2(11) = 5.5th term = (2+2)/2 = 2

Q1 of A = 1/4(11) = 2.75th tetm = (1 + 1)/ 2 = 1

Q3 of A = 3/4(11) = 8.25th term = (3+4)/2 = 3.5

Interquartile range = Q3 - Q1 = 3.5 - 1 = 2.5

Median A = 2 ; median B = 2

IQR B = 2.5 ; IQR A = 1.5 ; IQR B > IQR A

Answer:

you can do a diagram representing this product by drawing a box with six squares and then putting three lines for each box and divide 3÷3 and you will get 5

Answer:

false

Step-by-step explanation:

There's going to be some variabilty between the sample and population percentages, cus the sample only contains part of of the population. Even if it is a well designed survey, it doesn't affect this, because no matter how good the sample is, there will always be variability between the two (unless the sample includes the whole population). I hope this helps :)

Answer:

Step-by-step explanation: Got it right on E D G E N U I T Y

Answer:

D

Step-by-step explanation:

Answer:

A = 254.34

Step-by-step explanation:

Area of a circle formula:

A = πr²

r = d/2 = 9

A = 3.14(9²)

A = 3.14(81)

A = 254.34

Answer:

254.34

Step-by-step explanation:

Good luck!

Answer:

Step-by-step explanation:

Rule for rounding:

What numbers in hundredths can be rounded to 14.5?

and

From above we see that:

Answer:

what do you mean by your question I didn't understand it

Answer:

Known

Step-by-step explanation:

I hope this helps :)

Answer:

Known. The other answers are absurd.

Step-by-step explanation:

In geometry, often times you must have at least one angle to problem solve and find the rest. So having a known angle to build off of is important. Vertical Angles and Supplementary Angles are examples of things that require a known angle to find the rest. Why?

Say you only know one angle and the other is congruent to that angle, but across from it...Due to the theory of vertical angles, you now know the other side has to be the same/congruent. For supplementary angles, say you're dealing with a shape like the one I've attached. Once you have a or b, you can determine c. You have to know at least one of those angles to determine it's other unknown angles.

What equation describes this variation?

z = kxy

What is the constant of variation?

k = 5

When x = 1 and y = –2, z =

-10

Step by Step Explanation:

With the equation z = kxy and the values for z, x, and y, we can find k.

z = kxy

-75 = (k) (3) (-5)

-75 = (k) (-15)

5 = k

k = 5 (final answer).

To check our work, we just enter all of the values and make sure it adds up.

z = kxy

-75 = (5)(3)(-5)

-75 = 15(-5)

-75 = -75

correct!

Do the same to find the answer for the next part to get -10.

Further proof in the file attached.

Answer:

C.

5

-10

NEXT SLIDE:

3/8

3/40

NEXT SLIDE:

A.

7

42

NEXT SLIDE:

D.

6

NEXT SLIDE:

B.

10

LAST SLIDE:

A.

D.

Step-by-step explanation:

100% Edge 2021

I did the Assignment.

Good luck catching up in Edge before the end date fam!

Hello!

a. 10

b. 1

c. -11

To evaluate f(x) at a certain x, you simply substitute that value of x into the equation for x.

For example:

a. f(x) = 2x, find f(5)

Plug in 5 for x into f(x):

f(5) = 2(5) = 10.

b. f(x) = 4x + 5, find f(-1)

f(-1) = 4(-1) + 5 = 1

c. f(x) = -3x - 5, find f(2)

f(2) = -3(2) - 5 = -11

9514 1404 393

Answer:

  B: L, M, N

Step-by-step explanation:

The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.

MN is opposite angle L, the smallest

LN is opposite angle M, the middle-size

LM is opposite angle N, the largest.

Smallest to largest, the angles are ∠L, ∠M, ∠N.

Answer:

6.25

Step-by-step explanation:

Answer:

Hike 1 : 768, -96, 672

Hike 2: -62, 82, 20

Hike 3: 62, -100, -38

Hike 4: 354, -225, 129

Hike 5: -20, -40, -60

The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.

Negative numbers in the present circumstance mean under 0. (Underneath surface region)

Answer:

(4, 4)

Step-by-step explanation:

So you're trying to find what P' is, and P' would be the dilation of P. This means that you apply the rule (x, y) --> (1/4x, 1/4y) with the coordinate point (16, 16). This would be:

(16, 16) --> (1/4 * 16, 1/4 * 16) = (4, 4)

Answer: 20

Step-by-step explanation: it is 20 because 2 negative numbers multiplied by each other will always be positive

Answer:

105/4 ft^2

Step-by-step explanation:

Multiply length and width: 7*15/4 = 105/4 ft^2