5. Using the data from question 2, you can compute the mean food and lodging
cost of a 10-day vacation by multiplying the per-day mean by 10. The
standard deviation for the 10-day vacation can be found by multiplying by
10 also.
a. What is the mean for food and lodging for a 10-day vacation?

Answer:

EC and CB

DC and AC

Angle DCB and Angle ECA

Step-by-step explanation:

Line EC and Line CB both have the same measure of 32ft.

Line DC and Line AC both have the same measure of 28ft.

The angles are the sum of the same measures.

Answer:

21

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

given

tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)

this ratio relates to a right triangle, with hypotenuse h and

legs 3\(\sqrt{5}\) and 2

using Pythagoras' identity in the right triangle

h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )

h = \(\sqrt{49}\) = 7

then

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value

https://brainly.com/question/30701897

#SPJ4

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value here:

brainly.com/question/30701897

#SPJ4

Kaylee's hourly wage is $9.56 per hour.

To find Kaylee's hourly wage, we need to divide her total pay by the number of hours she worked:

hourly wage = total pay / number of hours

In this case, Kaylee made $105.16 for 11 hours of work. So her hourly wage would be:

hourly wage = $105.16 / 11 hours

hourly wage = $9.56 per hour (rounded to two decimal places)

Therefore, Kaylee's hourly wage is $9.56 per hour.

Learn more about:

Time and work : brainly.com/question/19382734

#SPJ11

Option C represents a modified Hardy-Weinberg equation that incorporates the effects of natural selection on a population. The equation is given as:

$(p-3s)^2 + 2(p-s)q + q^2 = 1$

In this equation, various terms are included to express the impact of natural selection. Let's break down the equation and understand its components.

$p$ represents the frequency of the dominant allele in the population, while $q$ represents the frequency of the recessive allele. These frequencies are determined based on the initial allele frequencies in the population.

The term $(p-3s)^2$ represents the expected frequency of the homozygous dominant genotype in the next generation. The factor $3s$ denotes the selection coefficient, where $s$ represents the frequency of homozygous recessive individuals who do not survive due to natural selection. By subtracting $3s$ from $p$, we account for the reduction in the frequency of the dominant allele due to selection.

The term $2(p-s)q$ represents the expected frequency of the heterozygous genotype in the next generation. This term incorporates both the initial frequency of the heterozygous individuals, represented by $(p-s)$, as well as the transmission of alleles through reproduction, given by $q$. The factor of 2 accounts for the two possible combinations of alleles in the heterozygous genotype.

Finally, $q^2$ represents the expected frequency of the homozygous recessive genotype in the next generation. This term considers the transmission of the recessive allele, represented by $q$, and its squared value accounts for the homozygous recessive genotype.

The equation is set equal to 1, as the frequencies of all genotypes should sum to 1 in a population.

To know more about Hardy-Weinberg equation

https://brainly.com/question/5028378

SPJ11#

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

Answer:

15 / 17 = 0.882

round it to the nearest hundreth.

.89

Step-by-step explanation:

Answer:

9.5 feet

Step-by-step explanation:

We solve this question using Sine rule

XY/sin X = YZ/Sin Z

From the question:

∠Z=90°

∠X=57°

XY = 8 feet.

8/sin 57 = YZ/sin 90

Cross Multiply

sin 57 × YZ = 8 × sin 90

YZ = 8 × sin 90/sin 57

YZ = 9.53891 feet

Approximately = 9.5 feet

Therefore, the length of YZ is 9.5 feet

To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

To know more about linear system, visit:

https://brainly.com/question/21404414

#SPJ11

The angle of elevation of the sun is, 36.7 degree.

What is angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

Given: A 82-ft tree casts a shadow that is 110 ft long.

So, by using the tangent ratio,

tanθ = 82/110

Apply tan^(-1) on both sides, we get

So, θ = \(tan^-^1(\frac{82}{110} )\)

θ = 36.7 degree.

Therefore, when a 82-ft tree casts a shadow that is 110 ft long, the angle of elevation of the sun is 36.7 degree.

To know more about the angle of elevation, click on the link

https://brainly.com/question/88158

#SPJ4

Answer:

45

Step-by-step explanation:

50-5=45

Answer:

There were 60 kids in class.

Step-by-step explanation:

Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:

children(Tom and Jerry) = children(Shin Chan)/3

children(Tom and Jerry) = 45/3 = 15

Therefore the number of children in the class is:

children(class) = children(Tom and Jerry) + children(Shin Chan)

children(class) = 15 + 45 = 60

There were 60 kids in class.

The required value of  P for the given problem is 14 units.

There are six elements of a point usually utilized in  trigonometry.. Their names and shortenings are sine (sin), cosine (cos), digression (tan), cotangent (bed), secant (sec), and cosecant (csc).

We have,

c = 28 units, angle(∅) = 30°

Using sine function to solve the problem.

Sin(∅) = perpendicular/hypothenius

Sin(30°) = P/28

P = 28/2 = 14 units

Thus, required value of P is 14 units.

To know more about application of trigonometry visit:

brainly.com/question/11687813

#SPJ1

Answer: \(a^2+b^2=c^2\)

Step-by-step explanation: That is the formula of the Pythagorean theorem. Formulas are down.

If solving for the leg, this is the formula: \(b=\sqrt{c^2-a^2}\)

If solving for the hypotenuse, this is the formula: \(c=\sqrt{a^2+b^2}\)

Answer:

V =134.4 ft^3

Step-by-step explanation:

Volume is

V = l*w*h

V = 7*4*4.8

V =134.4 ft^3

Answer:

She drinks 4.8 ounces of water per hour

Step-by-step explanation:

We know

Yasmin drank 3/4 of an 8-ounce glass of water in 1 1/4 hours

3/4 of 8 ounce = 6 ounces

1 1/4 = 5/4 = 1.25 hours

How much can she drink per hour?

6 divided by 1.25 = 4.8 ounces of water per hour

So, she drinks 4.8 ounces of water per hour.

Dividing by zero is an example of an arithmetic error.

It is undefined to divide any number by zero, which is why it is considered an error.

In general, any operation that results in an invalid mathematical expression is considered an arithmetic error.

Other examples of arithmetic errors include taking the square root of a negative number or raising a negative number to a fractional exponent.

These errors are generally caused by attempting to perform mathematical operations that are not defined or that violate the rules of algebraic manipulation.

Learn more about arithmetic error at

https://brainly.com/question/29414711

#SPJ11

Answer:

run-time error or arethmeatic error

Step-by-step explanation:

A divide by zero operation is not a defined operation and thus the program at runtime does not have equivalent valid code that can be executed and hence it throws a run-time error.

Answer:

huh

Step-by-step explanation:

The solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

To solve the equation 3e^(2x) + 5 = 27 using natural logarithms, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation:
3e^(2x) = 22

Step 2: Divide both sides of the equation by 3:
e^(2x) = 22/3

Step 3: Take the natural logarithm (ln) of both sides of the equation:
ln(e^(2x)) = ln(22/3)

Step 4: Apply the property of logarithms that states ln(e^a) = a:
2x = ln(22/3)

Step 5: Divide both sides of the equation by 2:
x = ln(22/3)/2

Using a calculator, we can evaluate ln(22/3) to be approximately 2.72.

Therefore, x = 2.72/2 = 1.36.

So, the solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

Know more about natural logarithms here,

https://brainly.com/question/29154694

#SPJ11

Answer: y = 9

Step-by-step explanation:

an equation of y=8x-47 will let the line pass through the point (5,-7) and the point (7,9)

i used the desmos graphing calculator website to graph it

Answer:

3 days=  $105, 6 days= $90, 10 days= $70

Step-by-step explanation:

You can rewrite this equation as y=120-5x

x is the amount of days passed

plug in 3 for x and you get 15. 120-15=105

plug in 6 for x and you get 30. 120-30=90

plug in 10 for x you get 50. 120-50=70

Hope this helps!

:)

Answer:

C (rad 2 x rad 5 x rad 2 x rad 5)

Step-by-step explanation:

rad 2 times rad 5 = rad 10

rad 10 times 2 = rad 20

rad 20 times rad 5 = rad 100

rad 100 = 10

10 is rational

Answer:

\(\frac{2}{3}\)

----------------------------------------------------------------------------------------------------------

"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.

\(\frac{3*8}{4*9} = \frac{24}{36}\)

Find the greatest common factors of 24 and 36, starting with 24

     24:  1, 2, 3, 4, 6, 8, 12, 24

     36:  1, 2, 3, 4, 6, 9, 12, 18, 36

As shown, the greatest common factors are 12, so divide by 12 to simplify.

\(\frac{24 / 12}{36/12} = \frac{2}{3}\)

Two-thirds cannot be simplified, so that will be your final answer.

The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution

To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:

A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ

In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).

Plugging these values into the surface area formula and simplifying, we get:

A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ

Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.

Learn more about integral here: https://brainly.com/question/31433890

#SPJ11

Answer:

30 degree's

Step-by-step explanation:

Becuase the rule is GFH(2)+EFH

And GFH+EFH+90 the only solution is 30 and 60.

Answer:

D) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis​

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

If a point X(x, y) is translated a units right and b units down, it new location is X'(x + a, y + b)

If a point X(x, y) is reflected across x axis, it new location is X'(x, -y)

Pentagon ABCDE is at A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), E(-2, 4) while pentagon A"B"C"D"E" is at A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)

If pentagon ABCDE is Translated according to the rule (x, y) → (x + 8, y + 2), the new points would be A'(4, 7), B'(2, 6), C'(3, 3), D'(6, 4), E'(6, 6). If a reflection across the x axis is the done, the new points are A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)