I need this done today. Help

The area of the sector with a central angle of 60° and a radius of 13 units is approximately 8.49°.

The sector of a circle is simply part of a circle made up of an arc and two radii.

The area of the sector of a circle can be expressed as:

A = ( θ/360º ) × πr²

Where θ is the sector angle in degrees, and R is the radius of the circle.

From the diagram:

Angle HJK θ = 60 degrees

Radius HJ r = 13

Area A = ?

Plug the given values into the above formula and solve for the area.

A = ( θ/360º ) × πr²

A = ( 60/360º ) × π × 13²

A = ( 1/6 ) × π × 169

A = 88.49°

Therefore, the area of the sector is 88.49°.

Learn more about area of sector here: brainly.com/question/7512468

#SPJ1

Answer:

sin20°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x) , thus

cos70° = sin(90 - 70)° = sin20°

If the two events described in the questions are independent events, the probability of both happening next year is 28.67%.

Independent events refer to events whose occurrence is not interdependent. In other words, if the probability of occurrence of event A is not influenced by the probability of occurrence of event B, then A and B are independent events. Mathematically, independent events are represented as P(A│B) and is calculated by multiplying the individual probabilities of the two events. The formula of probability of two independent events is:

P(A│B) = P(A)*P(B)

Hence,

P(A│B) = 0.47*0.61

P(A│B) = 0.47*0.61

P(A│B) = 0.2867

The probability of two events happening next year is 28.67%.

Learn more about Independent events:

https://brainly.com/question/22881926

#SPJ4

The pair of hypotheses used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling, is H0: µ1-µ2 ≥ 0 and HA: µ1-µ2 < 0.

The given pair of hypotheses represents a one-tailed test where we are interested in determining if the mean of the first population (µ1) is smaller than the mean of the second population (µ2).

The null hypothesis (H0) states that the difference between the means, represented by (µ1-µ2), is greater than or equal to zero. This means that there is no significant difference between the means or that the mean of the first population is equal to or greater than the mean of the second population.

The alternative hypothesis (HA) states that the difference between the means, represented by (µ1-µ2), is less than zero. This suggests that there is a significant difference between the means and specifically indicates that the mean of the first population is smaller than the mean of the second population.

By conducting a statistical test, such as a t-test or z-test, and analyzing the results, we can evaluate the evidence and make an inference regarding the relationship between the means of the two populations based on the given pair of hypotheses.

Learn more about hypothesis here:

https://brainly.com/question/30899146

#SPJ11

Given:

3x - 2

To find:

Describe the parts of the expression

Solution:

3x - 2Let us consider, f (x) = 3x - 2

The standard equation of the straight line is given by, y = mx + c

comparing the given equation with straight line equation, we get,

f (x) = y

m = 3

c = -2

m is the gradient of line

c is the y intercept (the graph crosses the y - axis)

Answer:

C) The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The answer is C on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

Learn more about slope of the line here:

https://brainly.com/question/16180119

#SPJ11

Answer:

only students who have recess at 12 p.m. or later may go out

Step-by-step explanation:

Let the time after midnight be represented by t, and the temperature be y. Since the temperature increases by 1.2 degrees Fahrenheit each hour, the time taken to reach 32 degrees Fahrenheit can be gotten from:

y = 1.2t + 18

put y = 32

32 = 1.2t + 18

1.2t = 14

t = 14/1.2 = 11.67 hours

Since the recess starts at half hour or hour, hence the recess would start at t = 12 hours, i.e. at 12 p.m.

Hence only students who have recess at 12 p.m. or later may go out

Answer:

i know im late but here only students who have recess at 12 p.m. or later may go out

Step-by-step explanation:

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

To learn more about stratified sampling  Click Here:  brainly.com/question/30397570

#SPJ11

Answer:

We have the function:

f(x) = 2*sin(x) - 3

To graph this type of functions is useful to understand the parts of the function.

A general one is written as:

g(x) = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency.

p is the phase

M is the midline.

Then in this case we have an amplitude of 2, an angular frequency of 1, a phase of 0 radians and the midline y = -3

Now we can evaluate the function in different points and (knowing how a sine function behaves) connect them, the graph will look something like this:

Answer:17 x 7= y x 2

Step-by-step explanation:

Hey there! I'm happy to help!

If the model airplanes flies 22 feet in 2 seconds, it travels 11 feet in 1 second.

There are 60 seconds in one minute. We multiply 11 by 60, giving 660 feet in 1 minute.

There are 60 minutes in one hour. We multiply 660 by 60, giving us 39600 feet in 1 hour.

There are 5280 feet in a mile. To find our speed in mph, we divide 39600 by 5280, giving us 7.5 mph.

Have a wonderful day! :D

Answer: -5/4

Step-by-step explanation:

The slope is rise/run or y2 - y1/ x2 - x1

The two points are (-6,-3) (-2, -8)

The y decreases by 5 and the x increase by 4

So the slope is -5/4

To calculate the p-value, we need to use a one-tailed t-test since we're interested in the probability of getting a sample mean greater than 12.10 oz.

First, we need to calculate the t-statistic:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (12.15 - 12.10) / (0.05 / sqrt(25))

t = 3.1623

Next, we need to find the degrees of freedom, which is the sample size minus one:

df = 25 - 1 = 24

Using a t-distribution table with 24 degrees of freedom and a significance level of 0.01, we find that the critical value is 2.492.

Since the calculated t-value (3.1623) is greater than the critical value (2.492), we can reject the null hypothesis and conclude that there is evidence that the mean volume is greater than 12.10 oz.

To find the p-value, we need to calculate the probability of getting a t-value greater than 3.1623 with 24 degrees of freedom:

p-value = P(t > 3.1623) = 0.0028 (calculated using a t-distribution table or software)

Therefore, the p-value is 0.0028, which is less than the level of significance (0.01), indicating strong evidence against the null hypothesis.

Learn more about Mean here:- brainly.com/question/1136789

#SPJ11

Answer:

42 cm

Step-by-step explanation:

the first triangle is 7 times bigger than the second triangle. ( 4 x 7 = 28)

so to find out line EG, you times 6 cm by 7. which is 42

Answer: 120 miles

Step-by-step explanation:

If a car goes 60 miles per hour then in two hours (60×2) it will go 120

Answer:

i got c

Step-by-step explanation:

Answer:

Choice A, C and E

Step-by-step explanation:

Your table is poorly presented

Given

x      y

\(\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}\)

First, we calculate the constant of proportionality (k)

\(k = \frac{y}{x}\)

For (3,1.47)

\(k = \frac{1.47}{3}\)

\(k = 0.49\)

For (5,2.45)

\(k = \frac{2.45}{5}\)

\(k = 0.49\)

For (9,4.41)

\(k = \frac{4.41}{9}\)

\(k = 0.49\)

From the above calculations, the constant of proportionality is 0.49.

So, the usable rows must also have 0.49 as their constant of proportionality

Choice A

\((x,y) = (2,0.98)\)

\(k = \frac{0.98}{2}\)

\(k = 0.49\) --- This is usable

Choice B

\((x,y) = (7,4.45)\)

\(k = \frac{4.45}{7}\)

\(k = 0.64\) --- This is not usable

Choice C

\((x,y) = (6,2.94)\)

\(k = \frac{2.94}{6}\)

\(k = 0.49\) --- This is usable

Choice D

\((x,y) = (1,0.54)\)

\(k = \frac{0.54}{1}\)

\(k = 0.54\) ---- This is not usable

Choice E

\((x,y) = (8,3.92)\)

\(k = \frac{3.92}{8}\)

\(k = 0.49\) --- This is usable

Answer:

A, C, and E

Step-by-step explanation:

khan said it was correct

trust me

Here we need to remember that:

density = mass/volume

Only by using this equation, we will find that the mass of gold is 19,400 kg

In this case, we know that the gold is in the shape of a cube with side length of one meter.

Remember that for a cube of side length L, the volume is:

V = L^3

Then in this case, the volume of the cube of gold will be:

V = (1m)^3  = 1m^3

And we know that the density of the gold is:

density = 19.4 g/cc

cc = cm^3

density = 19.4 g/cm^3

Notice that we have different units of volume, so we would want to write the volume in cm^3

We know that:

1m^3 = (1×10^6)cm^3

Then the volume of the cube of gold is just:

V = (1×10^6)cm^3 = 1,000,000 cm^3

Now let's return to the density equation:

density = mass/volume

Solving for the mass, we get:

density×volume = mass

Now we can replace the two things in the left side:

(19.4 g/cm^3)×(1,000,000 cm^3) = mass = 19,400,000 g

Now remember that:

1000k = 1kg

Then we can rewrite:

mass = 19,400,000 g = (19,400,000/1000)kg = 19,400 kg

So the cube of gold has a mass of  19,400 kg, there is no way that two persons could carry this much gold into a cave.

if you want to learn more, you can read:

https://brainly.com/question/18320053

Answer:.

Step-by-step explanation:

The approximate percentage of 1-mile long roadways with potholes numbering between 41 and 61, using the empirical rule, is 81.5%.

The empirical rule, also known as the 68-95-99.7 rule, states that for a bell-shaped distribution (normal distribution), approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

In this case, the mean of the distribution is 49, and the standard deviation is 4. To find the percentage of 1-mile long roadways with potholes numbering between 41 and 61, we need to calculate the percentage of data within one standard deviation of the mean.

Since the range from 41 to 61 is within one standard deviation of the mean (49 ± 4), we can apply the empirical rule to estimate the percentage. According to the rule, approximately 68% of the data falls within this range.

Therefore, the approximate percentage of 1-mile long roadways with potholes numbering between 41 and 61 is 68%.

To know more about potholes refer here:

https://brainly.com/question/31171979#

#SPJ11

Complete Question:

online homework manager Course Messages Forums Calendar Gradebook Home > MAT120 43550 Spring2022 > Assessment Homework Week 7 Score: 14/32 11/16 answered X Question 6 < > Score on last try: 0 of 2 pts. See Details for more. > Next question Get a similar question You can retry this question below The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell- shaped distribution. This distribution has a mean of 49 and a standard deviation of 4. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 41 and 61? Do not enter the percent symbol. ans = 81.5 % Question Help: Post to forum Calculator Submit Question ! % & 5 B tab caps Hock A N 2 W S X #3 E D C $ 54 R T G 6 Y H 7 00 * 8 J K 1

Answer:

2

Step-by-step explanation:

2×2=4

4÷2=2

Answer:

2

Step-by-step explanation:

2 x 2 = 4

4 / 2 = 2

the answer is 2

9 bags can be brought

Explanation :-

As per given conditions,

\( \frac{132.75}{14.75}\)

Multiplying numerator and denominator to get positive values,

\( \frac{132.75 \times 100}{14.75 \times 100}\)

\( = > \frac{13275}{1475}\)

Now by normal division, we get,

\(9\)

Hence, the nymber of bags that can be brought is \(9\)bags

Answer:

a) the triangles are similar triangles because they are the same shape. The angles in both triangles have the same value.

b) The similarity ratio between the two triangles is 0.5, because the lengths of the sides of the triangle on the right are double the value of the lengths of the sides of the triangle on the left.

c) angle U = angle G. angle V = angle H. angle T = angle F.

UV/GH = VT/HF = TU/FG = 0.5

Answer:

Step-by-step explanation:

i think its 7(1+3) because (1+3)= 4 28/4 = 7

The probability that the balls are drawn from the first urn is 0.99.

The given problem provides information on two urns. In the first urn, 70% of the balls are red, and 30% are blue, while in the second urn, 70% of the balls are blue, and 30% are red. From one of the urns, 12 balls are randomly drawn, out of which 8 are red, and 4 are blue.

We need to determine the probability that the balls are drawn from the first urn.

Let A be the event that the balls are drawn from the first urn. The probability of selecting urn 1 is given by P(A). Out of the 12 balls drawn, 8 are red and 4 are blue. Hence, we can write P(RRBBRRRRRRRR) = P(A) x P(8 red balls and 4 blue balls are drawn | A).

The probability of selecting either urn 1 or urn 2 is 0.5, which is represented as P(A) = P(B). Therefore, P(RRBBRRRRRRRR) = 0.5 x (0.7)^8 x (0.3)^4 = 0.00424.

Let B be the event that the balls are drawn from the second urn. The probability of selecting urn 2 is given by P(B). Out of the 12 balls drawn, 4 are red and 8 are blue. Hence, we can write P(BBRRBBBBBBBB) = P(B) x P(4 red balls and 8 blue balls are drawn | B).

Therefore, P(BBRRBBBBBBBB) = 0.5 x (0.3)^4 x (0.7)^8 = 0.00043.

The probability that the balls are drawn from the first urn is given by P(A | RRBBRRRRRRRR) = P(A) x P(RRBBRRRRRRRR) / [P(A) x P(RRBBRRRRRRRR) + P(B) x P(BBRRBBBBBBBB)].

Substituting the values, we get P(A | RRBBRRRRRRRR) = 0.5 x 0.00424 / [0.5 x 0.00424 + 0.5 x 0.00043] = 0.989 which is approximately 0.99.

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

Answer:

1990 ml is the answer thank you

\(\huge\underline\mathtt\colorbox{gold}{B}\)

{z^-2=1/z^2}

\(\huge\underline\mathtt\colorbox{silver}{D}\)

{(ab)^0=1}

The expressions which are simplified correctly are z⁻² = 1/z² and (ab)⁰ = 1 thus, options (B) and (D) are correct.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In other words, the mathematics of power or exponent of any number is called indices.

In the second option,

z⁻² we know that every negative exponent will be positive when it comes to the denominator.

Thus, z⁻² = 1/z²

The last option

(ab)⁰ it is known that any number with power 0 will be 1.

Thus,  (ab)⁰ = 1

Hence "The expressions which are simplified correctly are z⁻² = 1/z² and (ab)⁰ = 1".

To learn more about indices,

https://brainly.com/question/170984

#SPJ2

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Learn more about null hypothesis

brainly.com/question/29387900

#SPJ11

a. Ashley would need to invest approximately $49,302.55 in one lump sum today. b. Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years. c. Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

a. To determine how much Ashley would need to invest today, in one lump sum, to end up with $70,000 in 6 years, we can use the future value formula:

Future Value (FV) = Present Value (PV) * (1 + interest rate)^time

In this case, FV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values into the formula, we can solve for PV:

$70,000 = PV * \((1 + 0.07)^6\)

PV = $70,000 /\((1.07)^6\)

PV ≈ $49,302.55

Therefore, Ashley would need to invest approximately $49,302.55 in one lump sum today.

b. If Ashley is starting from scratch, we need to calculate how much she would have to put away annually to accumulate the needed capital in 6 years. This can be calculated using the present value of an ordinary annuity formula:

PV = Annual Payment * [(1 - (1 + interest rate)^(-time)) / interest rate]

In this case, PV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values, we can solve for the annual payment:

$70,000 = Annual Payment *\([(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $9,167.42

Therefore, Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years.

c. If Ashley already has $20,000 saved, we can subtract this amount from the required capital and calculate the annual payment for the remaining amount:

Remaining Amount = Required Capital - Initial Savings

Remaining Amount = $70,000 - $20,000 = $50,000

Using the same formula as in part b, we can calculate the annual payment:

$50,000 = Annual Payment\(* [(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $6,111.57

Therefore, if Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

d. Ashley can use an investment plan to help reach her objective by following these steps:

- Set a specific financial goal, such as accumulating $70,000 in 6 years.

- Determine the required investment amount, whether it's a lump sum or an annual payment.

- Consider her risk tolerance and investment options. Since she estimates a 7% return, she can explore various investment vehicles like stocks, bonds, mutual funds, or other investment instruments.

- Develop an investment plan that aligns with her financial goals and risk tolerance. This plan may involve diversifying her investments, considering different time horizons, and regularly monitoring her progress.

- Continuously track the performance of her investments and make adjustments if needed.

- Stay disciplined and committed to her investment plan, making regular contributions or adjusting investments as necessary to reach her desired capital.

Learn more about financial goals here:

https://brainly.com/question/29238593

#SPJ11