Calculate both the sample and the population standard deviations using the data below. Please show the following answers to 1 decimal place. Sample Standard Deviation (s)= Population Standard Deviation (σ)= Notice the different!

Answer:

$5820

Step-by-step explanation:

1500*6%=90 per month

90*(48months=4yrs)=4320

1500+4320=5820

♣ explanation ♣

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Add 8 ounces onto 5 to get 13, and then, add the unit fraction 1/4 onto it and you get 13 1/4 as your non-simplified mixed number answer.

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But wait! The answer must be simplified into the mixed number, "5 3/4" by dividing the current answer by 8 1/2, or any other number that involves similarities to the fractions' characteristics.

K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.

Therefore, the coordinate of the image of point K is K’(-2, 1).

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Answer:

A

Step-by-step explanation:

We are given the two functions:

\(f(x)=4x+5\text{ and } g(x)=x^2-2x-2\)

And we want to find:

\((f+g)(x)\)

This is equivalent to:

\(=f(x)+g(x)\)

Substitute:

\(=(4x+5)+(x^2-2x-2)\)

Rearrange:

\(=(x^2)+(4x-2x)+(5-2)\)

Combine like terms. Hence:

\((f+g)(x)=x^2+2x+3\)

Our answer is A.

Answer:

B

Step-by-step explanation:

Don't know how to type those here so see attachment

Answer:

x = √29

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 2^2 = c^2

25 + 4 = c^2

29 = c^2

√29 = √c^2

√29 = c

x = √29

A point that is also on the circle include the following: D. 16 + 24i.

In Mathematics and Geometry, the standard form of the equation of a circle can be modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided above, we would determine midpoint from the given end points:

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Midpoint = [(-25 + 15)/2, (-17 + 25)/2]

Midpoint = (-5, 4).

By using the distance formula, we would find the distance (radius) from the midpoint to end points as follows;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-25 + 5)² + (-17 - 4)²]

Distance, r² = 841.

By substituting the parameters, we have:

h = -5 and k = 4

(x - h)² + (y - k)² = r²

(x - (-5))² + (y - 4)² = 841

(x + 5)² + (y - 4)² = 841

Therefore, the point 16 + 24i is also on the circle.

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Missing information:

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

The sample size is needed to achieve a margin of error of .05 for a 90% confidence interval for a proportion of interest to be near 0.25 is equals to the 203.

From the above problem we have,

Mardin of error, E = 0.05

confidence interval, α = 90%

proportion of interest, p = 0.25

We have to determine the sample size.

Using the formula for minimum sample size is written as n = (Z² × p(1 -p)]/E² --(1)

Using the Z-distribution table and the z-score value for 90% is equals to 1.645.

Plug all known values in above equation,

=> n = [(1.645)² × 0.25 ( 1 - 0.25)]/(0.05)²

=> n = (1.645)² × 0.25 ×0.75/(0.05)²

=> n = 0.5074/0.0025

=> n = 202.96 ~ 203

Hence, required sample value is 203

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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75.13 cm^2

here , radius r is given in inches so

1 inch =2.54 cm

3 in = 7.62 cm

arear of circle = pi × radius

Area( 3.14 )^22 *

7.62 gives the answer as 75.13

In the presence of outliers in a sample, the statement that is always true is d. Standard deviation is larger than expected (larger than if there were no outliers).

Outliers are extreme values that are significantly different from the other data points in a sample. These extreme values have a greater impact on the standard deviation compared to the mean or median. As a result, the standard deviation increases when outliers are present. Therefore, option d is the correct answer.

To summarize, when outliers are present in a sample, the standard deviation is typically larger than expected, while the relationship between the mean and median can vary and is not always predictable.

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Answer:

x=12

Step-by-step explanation:

All of those angles together = 360

So x+74 + x+77 + x+ 62 + x + 99 = 360

Let's simplify that:

4x + 312 = 360

4x = 360-312

4x = 48

x = 48/4

x = 12

Answer:

x = 12

Step-by-step explanation:

Given interior angles,

→ x + 77°

→ x + 74°

→ x + 62°

→ x + 99°

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of interior angles in a circle is 360°.

Forming the equation,

→ (x + 77) + (x + 74) + (x + 62) + (x + 99) = 360

Then the value of x will be,

→ (x + 77) + (x + 74) + (x + 62) + (x + 99) = 360

→ (x + x + x + x) + (77 + 74 + 62 + 99) = 360

→ 4x + 312 = 360

→ 4x = 360 - 312

→ 4x = 48

→ x = 48/4

→ [ x = 12 ]

Hence, the value of x is 12.

Option A, The image above, according to math central Luz, is a Venn diagram. A major in art, her brother, interprets it as two circles. One instance of synesthesia is the discrepancy in perception.

A Venn diagram is a type of visual representation that uses circles to emphasize the relationships among certain items or constrained groups of things. Rings with overlaps have several properties that circles without overlaps do not. Venn diagrams are helpful for visually illustrating the relationship and differences between two concepts.

A Venn diagram uses circles or other overlapping shapes to illustrate the relationships between three or more organizations of things. They usually serve to visually organize items while emphasizing their similarities and differences.

A triple Venn diagram is a helpful visual tool highlighting the similarities and differences between three sets of objects or statistics.

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This varies from person to person. I weigh 150 pounds so I would do 150 x 50 = 7500. That means if I could lift as much as an ant I could lift 7500 pounds.

If someone weighs 90 pounds they would do 90 x 50 = 4500. That means if they could lift as much as an ant they could lift 4500 pounds.

Answer:

bro i would be so strong lm.ao

6,000 lbs.

Step-by-step explanation:

x is your weight

y is how much you would be able to carry

x*50 = y

The statement that line segments that have the same length are called similar segments is false

The statement is given as:

Line segments that have the same length are called similar segments.

As a general rule:

Line segments that have the same length are similar segments.

However, line segments that have the same length are not called similar segments

Instead, line segments that have the same length are called congruent lines

This means that the the statement that line segments that have the same length are called similar segments is false

Hence, the statement that line segments that have the same length are called similar segments is false

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Answer:

186

Step-by-step explanation:

Your entire surface area is

216

the area of the rectangle on the bottom is 30

substract 30 from 216

The values of the expressions for the given set of scores are:

a. εX = 0

b. εx^2 = 50

c. ε(x+3) = 15

To find the value of each expression for the given set of scores, let's calculate them one by one:

Set of scores: X = 6, -1, 0, -3, -2

a. εX (sum of scores):

εX = 6 + (-1) + 0 + (-3) + (-2) = 0

b. εx^2 (sum of squared scores):

εx^2 = 6^2 + (-1)^2 + 0^2 + (-3)^2 + (-2)^2 = 36 + 1 + 0 + 9 + 4 = 50

c. ε(x+3) (sum of scores plus 3):

ε(x+3) = (6+3) + (-1+3) + (0+3) + (-3+3) + (-2+3) = 9 + 2 + 3 + 0 + 1 = 15

Therefore, the values of the expressions are:

a. εX = 0

b. εx^2 = 50

c. ε(x+3) = 15

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The solution to the initial-value problem is:
\(y(x) = (5/6) e^(-4x) + (5/6) e^(x) + (17/6) e^(2x)\)

We first find the general solution to the associated homogeneous equation y'' + 3y' - 4y = 0. The characteristic equation is r^2 + 3r - 4 = 0, which has roots r = -4 and r = 1. Therefore, the general solution to the homogeneous equation is                 yh(x) = C1e^(-4x) + C2e^(x).

Next, we need to find a particular solution to the non-homogeneous equation y'' + 3y' - 4y = 17e2x. Since the right-hand side of the equation is of the form e^(mx), where m = 2, we guess a particular solution of the form yp(x) = A e^(2x). We then take the first and second derivatives of yp(x) to get yp'(x) = 2A e^(2x) and yp''(x) = 4A e^(2x).

Substituting yp(x), yp'(x), and yp''(x) into the original equation, we get:
\(4A e^(2x) + 6A e^(2x) - 4A e^(2x) = 17e^(2x)\)
Simplifying, we get:
6A e^(2x) = 17e^(2x)
Therefore, A = 17/6. Thus, a particular solution to the non-homogeneous equation is yp(x) = (17/6) e^(2x).
The general solution to the non-homogeneous equation is then y(x) = yh(x) + yp(x) = C1e^(-4x) + C2e^(x) + (17/6) e^(2x).
\(r^2 + 3r - 4 = 0\)

We first take the derivative of the general solution:

y'(x) = -4C1e^(-4x) + C2e^(x) + (34/6) e^(2x)
Plugging in the initial values, we get:
y(0) = C1 + C2 + (17/6) = 1
y'(0) = -4C1 + C2 + (34/6) = 1

Solving for C1 and C2, we get:
C1 = (5/6)
C2 = (5/6)
Therefore, the solution to the initial-value problem is:
y(x) = (5/6) e^(-4x) + (5/6) e^(x) + (17/6) e^(2x)

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(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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Missing side length of the given measures of the triangle is equal to           x = 1/2 units (approximately).

As given,

Given measures of the triangle ABC are

Angle A=(18 +18)°

             =36°

Consider side opposite to ∠A=a ,∠B=b ,∠C=c

Given side length

AC=b

     =20

AB=c

    =12

BC=c

    =x+12

Using cosine law

cos A= (b²+c²-a²)/2bc

⇒cos36°= [20²+12²-(x+12)²]/2(20)(12)

⇒(1+√5)/4=(544-x²-24x-144)/480

⇒x²+24x-280+120√5=0

⇒x²+24x-11.7=0

Now, x = [-24±√24²-4(1)(-11.7)]/2(1)

           = (-24±24.955)/2

           ≈ (-24 ±25)/2

Hence, x = (-24+25) /2

               = 1/2

or x = -24.5 side length cannot be negative.

Therefore, Missing side length of the given measures of the triangle is equal to x = 1/2 units (approximately).

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Answer:

5

Step-by-step explanation:

1245-850=395, 395/79=5

Answer:

5 cases

Step-by-step explanation:

To find the case amount we must take the iphone out of the equation like this

1245-850 = 395

This leaves us with $395 and if each case costs $79 we must divide like this

395 / 79 = 5

Which leaves us with 5, so that must mean that Ryan bought 5 cases.

Hope this helps ( :

The 90% confidence interval for the true mean breaking strength is (6.98, 12.52) pounds.

To construct a confidence interval, we can use the sample mean and the t-distribution.

First, we calculate the sample mean breaking strength. Adding up the four values and dividing by the sample size of four gives us a sample mean of (7 + 10 + 11 + 12) / 4 = 40 / 4 = 10 pounds.

Next, we need to calculate the standard deviation of the sample. To do this, we calculate the sample variance by taking the sum of the squared differences between each value and the sample mean, and then dividing by the sample size minus one. The squared differences are (7 - 10)^2 = 9, (10 - 10)² = 0, (11 - 10)² = 1, and (12 - 10)² = 4.

Summing these squared differences gives us 9 + 0 + 1 + 4 = 14. Dividing by (4 - 1) gives us a sample variance of 14 / 3 ≈ 4.67. Taking the square root of the sample variance gives us the sample standard deviation, which is approximately √4.67 ≈ 2.16 pounds.

Using the sample mean, sample standard deviation, sample size, and the t-distribution with a confidence level of 90%, we can calculate the margin of error. With a sample size of four, the degrees of freedom is (4 - 1) = 3. Consulting the t-distribution table or using statistical software, we find that the t-value for a 90% confidence interval with 3 degrees of freedom is approximately 2.353.

The margin of error is then calculated by multiplying the t-value by the standard deviation divided by the square root of the sample size. In this case, the margin of error is 2.353 * (2.16 / √4) ≈ 3.48 pounds.

Finally, we can construct the confidence interval by subtracting and adding the margin of error to the sample mean. The lower bound is 10 - 3.48 ≈ 6.98 pounds, and the upper bound is 10 + 3.48 ≈ 12.52 pounds.

Therefore, the 90% confidence interval for the true mean breaking strength is approximately (6.98, 12.52) pounds.

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Answer:

x = 138° because they are alternate interior angles. Alternate interior angles are congruent.

Step-by-step explanation:

361 congruent square tiles would be needed to cover the square shaped floor.

An equation is an expression that shows the relationship between two or more variables and numbers.

Since the number of tiles lying on both diagonals is 37. Let x represent the number of tiles on each side.

Counting one tile twice, there are:

19² = 361

361 congruent square tiles would be needed to cover the square shaped floor.

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Answer:

k = 45

Step-by-step explanation:

We can put this into an equation form:

k - 10 = 35

We can solve for k by adding 10 to both sides:

k = 45

Answer:

k-10=35

k=45

Step-by-step explanation:

Let's write this as an equation.

"10 less than k" means subtract 10 from k.

k-10

"is 35" means equals 35.

k-10=35

If we want to solve for k, we have to get k by itself on one side of the equation.

k-10=35

10 is being subtracted from k. The inverse of subtraction is addition. Add 10 to both sides of the equation.

k-10+10=35+10

k=35+10

k=45

Answer:

A. Average Rate of Change

Step-by-step explanation:

The average speed of the tsunami was approximately 496.45 km/hr.

To find the average speed of the tsunami, we need to know the distance it traveled (7546 kilometers) and the time it took to travel that distance (15 hours and 12 minutes).

First, we need to convert the time to a single unit of measurement. For this calculation, we'll use hours. To do this, we'll convert the minutes to hours:

15 hours + 12 minutes ÷ 60 minutes/hour

= 15.2 hours

Next, we can divide the distance traveled by the time it took:

7546 km ÷ 15.2 hours

= 496.45 km/hr

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