Which set of measures could be the measures of the interior angles of a triangle?
A)30, 90, 30
B)32, 59, 79
C)35, 65, 75
D)22, 37, 121

Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

To learn more about standard normal distribution refer to:

https://brainly.com/question/13781953

#SPJ1

Given an AR(1) process with drift X = α + βX_{t-1} + ε_t, where α = 2, β = 0.7, and ε_t ~ N(0, 1).To find the mean of the process, we note that the AR(1) process has a mean of μ = α / (1 - β).

So, the mean is 6.67, the variance is 5.41, the first three ACF are 0.68, 0.326, and 0.161, and the first three PACF are 0.7, -0.131, and 0.003.

So, substituting α = 2 and β = 0.7,

we have:μ = α / (1 - β)

= 2 / (1 - 0.7)

= 6.67

To find the variance, we note that the AR(1) process has a variance of σ^2 = (1 / (1 - β^2)).

So, substituting β = 0.7,

we have:σ^2 = (1 / (1 - β^2))

= (1 / (1 - 0.7^2))

= 5.41

To find the first three autocorrelation functions (ACF) and the first 3 partial autocorrelation functions (PACF), we can use the formulas:ρ(k) = β^kρ(1)and

ϕ(k) = β^k for k ≥ 1 and

ρ(0) = 1andϕ(0) = 1

To find the first three ACF, we can substitute k = 1, k = 2, and k = 3 into the formula:

ρ(k) = β^kρ(1) and use the fact that

ρ(1) = β / (1 - β^2).

So, we have:ρ(1) = β / (1 - β^2)

= 0.68ρ(2) = β^2ρ(1)

= (0.7)^2(0.68) = 0.326ρ(3)

= β^3ρ(1) = (0.7)^3(0.68)

= 0.161

To find the first three PACF, we can use the Durbin-Levinson algorithm: ϕ(1) = β = 0.7

ϕ(2) = (ρ(2) - ϕ(1)ρ(1)) / (1 - ϕ(1)^2)

= (0.326 - 0.7(0.68)) / (1 - 0.7^2) = -0.131

ϕ(3) = (ρ(3) - ϕ(1)ρ(2) - ϕ(2)ρ(1)) / (1 - ϕ(1)^2 - ϕ(2)^2)

= (0.161 - 0.7(0.326) - (-0.131)(0.68)) / (1 - 0.7^2 - (-0.131)^2) = 0.003

To know more about mean visit:

https://brainly.com/question/31101410

#SPJ11

1 mile = 5,280 feet

1 hour = 3600 seconds

3600/5280 = 0.681818 feet per second

25 ft per second x 0.681818 = 17.045 miles per hour

Round the answer as needed.

Answer:

The correct answer is 17.045 miles per hour.

The angels that are congruent to 8 are 6, 3, 1.

If she wants one fourth of the dimensions of the room for the corner, that means the area will be 1/16 (one fourth squared) of the whole bedroom. The area of the whole bedroom is 8 x 12 = 96. The area of the corner would be 96 / 16 = 6 sq ft.

Or you can do (one fourth of 8) x (one fourth of 12) = 2 x 3 = 6 sq ft.

Answer:

Step-by-step explanation:

locate (-8,9) on the coordinate plane

so when a (negative, positive) means it would be in quadrant 2

so the x-axis is -8 which means its on the left side on x line, so find -8 on the x line then go up to 9 on the y-axis and thats how you find it.

The equation representing the total amount Emma earns at the event is y = $10x.

If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:

y = kx

where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:

y = $10 * x

Therefore, the equation representing the total amount Emma earns at the event is y = $10x.

To learn more about the equation,

Visit; brainly.com/question/29657983

#SPJ4

The equation representing the total amount Emma earns at the event is y = $10x.

If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:

y = kx

where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:

y = $10 * x

Therefore, the equation representing the total amount Emma earns at the event is y = $10x.

To learn more about Equation,

brainly.com/question/29657983

#SPJ4

The total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.

To calculate the cost of compensated absences for Tamarisk Company, we need to calculate the number of vacation days and sick days earned by the employees in 2019 and 2020, and then calculate the cost of the days earned but not taken.

Each employee earns 9 vacation days per year. As they can be taken after January 15th of the year following the year in which they are earned, the vacation days earned by the employees in 2019 can be taken in 2020. Therefore, in 2019, no vacation days were taken by any employee.

In 2020, the employees took a total of 8 vacation days. As there are 9 employees, the total vacation days taken in 2020 were 9 x 8 = 72.

Sick Days:

Each employee earns 7 sick days per year, and unused sick days accumulate. In 2019, the employees used a total of 5 sick days. Therefore, the unused sick days at the end of 2019 were 9 x 7 - 5 = 58.

In 2020, the employees used a total of 6 sick days, and the unused sick days at the end of 2020 were 58 + 9 x 7 - 6 = 109.

To find the cost of compensated absences. The unused sick days and vacation days must be multiplied to get the hourly wage rate in effect in a year.

In 2019, the cost of compensated absences was 58 x $6 = $348.

In 2020, the cost of compensated absences was (72 + 109) x $7 = $1,399.

Therefore, the total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.

To know more about the cost of compensated absences

brainly.com/question/12987530

#SPJ4

Answer:

188

Step-by-step explanation:

3(8^2)-4

3(64)-4

192-4

188

It takes the seagull less time to travel a longer distance.

The owl has a speed of 11 1/9 miles per hour.

The seagull has a speed of 18 3/4 miles per hour.

18 3/4 miles per hour is greater than 11 1/9 miles per hour, so the seagull is faster.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time. In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Next, we would determine the speed of the owl as follows;

Speed of owl = (8 1/3)/(3/4)

Speed of owl = (25/3)/(3/4)

Speed of owl = 25/3 × 4/3

Speed of owl = 100/9 or 11 1/9 miles per hour.

For the speed of the seagull, we have:

Speed of seagull = (12 1/2)/(2/3)

Speed of seagull = (25/2)/(2/3)

Speed of seagull = 25/2 × 3/2

Speed of seagull = 75/4 or 18 3/4 miles per hour.

In conclusion, we can reasonably infer and logically deduce that the seagull is faster because it took less time to travel a longer distance.

Read more on speed here: brainly.com/question/8163450

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

It takes the seagull LESS time to travel a LONGER distance.

Answer:

16 miles

Step-by-step explanation:

8*2=16

Brainlest pls?

Answer: \(\cos 34^{\circ}\) and \(\sin 56^{\circ}\)

Answer:

4 cm

Step-by-step explanation:

area of a triangle = 1/2 * base * height

24                       = 1/2  12 * height

height = 4 cm

If t=0 in an independent-measures hypothesis test, it indicates that b) the two sample means must be equal

An independent-measures hypothesis test compares the means of two independent samples to determine if there is a significant difference between them. The test uses a t-value to evaluate whether the difference between the two sample means is greater than what would be expected by chance.

If the calculated t-value is equal to 0, it means that the difference between the two sample means is not statistically significant. In other words, the null hypothesis cannot be rejected. Therefore, we cannot conclude that there is a significant difference between the two population means.

Therefore, option (b) is correct, as the two sample means must be equal if the t-value is equal to 0. Option (a) is incorrect because the equality of population means is not directly related to the t-value being 0.

Option (c) is also incorrect because the equality of sample variances is not a requirement for the t-value to be 0 in an independent-measures hypothesis test.

For more questions like Sample mean click the link below:

https://brainly.com/question/31101410

#SPJ11

For more questions like Sample mean click the link below:

https://brainly.com/question/31101410

#SPJ11

Answer:

2.02

Explanation:

Each pail of plaster covers 97 Square feet of ceiling

The ceiling of the room is 14 ft long

= 14×14

= 196

Therefore the pail of plaster that will be needed to cover the rooms can be calculated as follows

= 196/97

= 2.02

There are a total of 12870 paths that stay outside or on the boundary of the square.

To go from (-4, -4) to (4, 4) with each step increasing either the x-coordinate or the y-coordinate by 1, you can only move diagonally upwards or diagonally to the right. This means that you can only move in one of two directions at each step.

In order to stay outside or on the boundary of the square -2 < x < 2, -2 < y < 2 at each step, you need to make sure that you don't move too far in either direction. Since there are 16 steps in total, you need to choose 8 steps to move in the x-direction and the remaining 8 steps to move in the y-direction.

The number of ways to choose 8 steps out of 16 to move in the x-direction is given by the binomial coefficient "16 choose 8" which can be calculated as C(16, 8) = 12870. Similarly, the number of ways to choose 8 steps out of 16 to move in the y-direction is also 12870.

Therefore, there are a total of 12870 paths that stay outside or on the boundary of the square -2 < x < 2, -2 < y < 2 at each step.

Know more about  boundary of the square here:

https://brainly.com/question/32859249

#SPJ11

Answer:

Speed of hikers are 4.4 mph and 7.7 mph

Step-by-step explanation:

Two hikers are 55 miles apart and walking towards each other.

They meet after 10 hours.

Let the speeds of hikers are S and S' mph.

One hiker walks 3.3 mph faster than the other,

S = 3.3 + S'

S' = S - 3.3

Distance traveled by the hiker with higher speed S = Speed × Time

\(d_1=S\times 10\)

\(d_1=10S\)

Distance traveled by the slower hiker \(d_2\) = (S - 3.3) × 10

Total distance between them = 55 miles

\(d_1+d_2=55\)

10S + 10(S - 3.3) = 55

20S - 33 = 55

20S = 88

S = 4.4 mph

Speed of first hiker = 4.4 mph

Speed of second hiker = 4.4 + 3.3 = 7.7 mph

Answer:

slope = 5

Step-by-step explanation:

The equation of a lin in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 3 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes , then

The slope of a line parallel to y = 5x + 3 is 5

The surface area of the pyramid is approximately 138.528 square feet.

The surface area of a solid is the sum of the areas of all faces of the solid. In this case, we find that the surface area is the sum of the areas of four triangles and the area of the square base. Then, we proceed to determine the surface area of the solid:

A = 4 · (1 / 2) · √[(3 ft)² + (8 ft)²] · (6 ft) + (6 ft)²

A ≈ 138.528 ft²

The surface area of the pyramid is approximately 138.528 square feet.

To learn more on surface areas: https://brainly.com/question/2835293

#SPJ1

Answer:

x²-15=0 {GIVEN}

Step-by-step explanation:

x²=15

x=±√15

The wall cloud is approximately 3 miles away.

An angle that is formed when an object is viewed above the horizontal is said to be an angle of elevation.

From the details of the question, we can determine the distance of the wall cloud by;

let the distance of the wall cloud be represented by x, applying the trigonometric function;

Sin θ = opposite/ hypotenuse

Sin 11 = 3000/ x

x = 3000/ 0.1908

  = 15722.53

The wall cloud is 15722.53 feet away.

But 1 mile = 5,280 feet. so that;

x = 15722.53/ 5280

  = 2.9778

x = 3 miles

Therefore, the wall cloud is 3 miles away.

Learn more about the angle of elevation at https://brainly.com/question/88158

#SPJ1

Answer:

(3/5)^8

or

\(\frac{3^8}{5^8}\)

or, optionally

approx. 0.0167

Step-by-step explanation:

(3/5)^4 * (3/5)^4

Think about the separate 3/5's:

(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5)

There are 8 of them, therefore the answer is:

(3/5)^8

or

\(\frac{3^8}{5^8}\)

x = 0

here's an explanation

3x = 9x

subract 9x from both sides

3x - 9x = 6x     9x - 9x = 0

this gives you

6x = 0

divide 6x on both sides

6x/6 = x   0/6 = 0

x = 0

A two-column proof that shows that in the rectangle, MARK, MA = RK can state that the opposite sides of a rectangle are congruent.

A two column proof is a mathematical way of showing that a statement is true. A table with two columns can be constructed for this purpose. One side contains the mathematical statement while the other contains the reason.

For the statement column, we can say that rectangle MARK, given MA = RK satisfies the rule that opposite sides of a rectangle are congruent.

Learn more about two-column proofs here:

https://brainly.com/question/1788884

#SPJ1

Answer:

The slope is 1/2  :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(10 - 4)/(13 - 1) = 6/12 = 1/2 is the slope of the line

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ11

Answer:

\(tan(\alpha)=-\frac{\sqrt{35}}{5}\)

Step-by-step explanation:

Tan can be defined as: \(\frac{sin(\theta)}{cos(\theta)}\) as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.

Using this we can define tan

\(sin(\alpha)=-\sqrt{7}\\cos(\alpha)=\sqrt{5}\\\\tan(\alpha)=-\frac{\sqrt{7}}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}\\tan(\alpha)=-\frac{\sqrt{7*5}}{5}\\tan(\alpha)=-\frac{\sqrt{35}}{5}\\\)

Answer:

tan α = -√35/5

Step-by-step explanation:

tan α = y/x

tan α = -√7/√5

tan α = -√7/√5 × √5/√5

tan α = -√35/5

Answer:

7u-58=10u-97(opposite side of parallelogram are equal)

-58+97=10u-7u

39=3u

u=13