A wallthat is 4 ft. 3in.tall is next to a tree. The figure shows the shadows that they cast. What is the height of the treein feet and inches? Show your work.

Answer:

Square root of 77.44 = height and length of gray squares = 8.8 cm

Since there are 3 squares that make up the height of that object 8.8 cm * 3 =

26.4 cm (the height of  3 gray squares

Square root of 4.84 = 2.2 cm

So the total height = 26.4 + 2.2 = 28.6 cm

Step-by-step explanation:

a) one sample test statistics is the appropriate test statistic.

b)

1, Population is normal people doing that task.

2. Sample is participants who are assigned that task.

c) Input the appropriate value(s) to make a decision about H0.

p-value =.041688. ;

Decision: Reject H0

d)  d = -0.7135 ( large) ; Magnitude:

r² = 0.3678 (small) ; Magnitude:

e) Those that under went the muscle memory exercise had significantly worse spatial skills than normal people.

Here, we have,

(a)

one sample test statistics

(b)

1, Population is normal people doing that task.

2. Sample is participants who are assigned that task.

(c) as psychologist believes that the muscle memory exercise will reduce performance. It is left tail .

H0 : µ = 14

H1 : µ < 14

Mean, x : 12.35

Standard deviation, s : 2.3127

Test statistics = x-μ S

Test statistics = 12.35 - 14 /2.3127 /8

Test statistics = -2.0179

The p-value is .041688.

The result is significant at p < .10

Decision : Reject H0

(d)

d = x-μ /s

d = 12.35 -14 /2.3127

d = -0.7135 ( large)

r²=t²/ t² + df

r² = 0.3678 (small)

(e)

Those that under went the muscle memory exercise had significantly worse spatial skills than normal people.

learn more on test statistics :

https://brainly.com/question/32309771

#SPJ4

Answer:

23 x 4

=> 23 x (2 + 2)

=> 23 x 2 + 23 x 2

23 x 21

=> 23 x (3 x 7)

=> (23 x 3) x (23 x 7)

23 + 23 + 23 + 23 = to get the answer of 92

23 x 2 + 23 x 2 =.92

Answer:

(6)

Step-by-step explanation:

5×=20+10=

5×=30=

×=6

Answer:

Step-by-step explanation:

<ACB = <ECD    

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

A

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.

The given polygon can be rhombus or square.

Polygon is a two-dimensional closed figure made of straight lines.

There are two polygons with four vertices and four equal sides:

Rhombus:

Square:

Given:

A polygon with four points representing vertices and four equal lengths

To Find:

Whether given polygon is square or not

Solution:

According to the question polygon given has four vertices and four equal side lengths.

There are two different polygons with four vertices and four equal side lengths, rhombus, and square.

In the question, we are only given vertices and the side lengths of the polygon which simply indicates that the given polygon can be either rhombus or square. But in order to prove the polygon as square, we will need more information regarding the stated polygon.

So from this, we can conclude that the given polygon can be rhombus or square.

Learn more about polygons here:

brainly.com/question/18434329

brainly.com/question/1799583?referrer=searchResults

Step-by-step explanation:

(3+1/4)-(4+2/5)

(13/4)-(22/5)

find common denominator of 20

(65/20)-(88/20)

-23/20

Hope that helps :)

Answer:

72\(\sqrt{3}\)

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \(\frac{1}{2}\) × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = \(\sqrt{3}\)

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{opp}{6}\) = \(\sqrt{3}\) ( multiply both sides by 6 )

opp = 6\(\sqrt{3}\) , then

d₂ = 2 × 6\(\sqrt{3}\) = 12\(\sqrt{3}\)

Thus

A = \(\frac{1}{2}\) × 12 × 12\(\sqrt{3}\) = 6 × 12\(\sqrt{3}\) = 72\(\sqrt{3}\)

Answer:

4

Step-by-step explanation:

You can rewrite 1 1/2  as 1.5. This just makes it easier if you use a calculator.

6/1.5 = 4

Let's just think of a different way to think about it:

If you add up two 1 1/2 ft sandwiches, (1.5 + 1.5), that equals 3. Two 3's equal 6. Again, the answer is 4.

In the curve of the sinusoidal curve when x = -2 y = 2

A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.

A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.

In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).

Therefore, when x = -2, y = 2

Learn more about sinusoidal curve on:

https://brainly.com/question/29437051

#SPJ1

Answer:

5/7 x 7/8 = 5/8

Step-by-step explanation:

The result of testing the given claim is; c) H₀: p = .5, Hₐ: p≠ .5; z = 0.8; Fail to reject H₀ at the 1% significance level

We are given;

Sample size; n = 100

Sample proportion; p' = 54/100 = 0.54

In general, population proportion is; p = 0.5

Thus;

The null hypothesis is, H₀: p = 0.5

Alternative hypothesis is; Hₐ: p ≠ 0.5

z-test statistic is defined as:

z = √[(p' - p)/(p(1 - p)/n)]

Plugging in the relevant values gives;

z = √[(0.54 - 0.5)/(0.5(1 - 0.5)/100)]

z = 0.8

From p-value from z-score calculator, we have;

p-value = 0.4237

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

Learn more about Statistical claim here:

brainly.com/question/15980493

#SPJ4

For the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

To determine the angular velocity and the velocity of the center 'O' of the gear at the given instant, you will need to follow these steps:

Step 1: Identify the relevant information.
First, gather information about the gear, such as its radius, the speed at which it is rotating, and any other relevant details. To determine the angular velocity of the gear and the velocity of its center at the instant shown, we need to know the radius of the gear and the speed of its rotation. The angular velocity of the gear can be calculated by dividing the speed of rotation by the radius of the gear. The velocity of the center of the gear can be calculated by multiplying the angular velocity by the radius of the gear.

Step 2: Calculate the angular velocity.
Angular velocity () can be calculated using the formula  = v / r, where 'v' is the linear velocity at the edge of the gear and 'r' is the radius of the gear.

Step 3: Find the linear velocity at the edge of the gear.
This can typically be given or can be determined based on the information provided.

Step 4: Calculate the angular velocity.
Plug the values of linear velocity (v) and radius (r) into the formula  = v / r to find the angular velocity.
Angular velocity = (speed of rotation) / (radius of gear)
Velocity of center = (angular velocity) x (radius of gear)

Step 5: Determine the velocity of the center 'O'
Since the center 'O' of the gear is the point around which the gear rotates, its velocity is 0, as it does not move linearly.

In summary, to find the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula  = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

Learn more about Center:

brainly.com/question/14785743

#SPJ11

On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

For more such questsion on interval visit:

https://brainly.com/question/30460486

#SPJ8

Yes, the data provided is enough evidence to show that the state had a higher proportion of identity theft than 23%.

To determine if the state had a higher proportion of identity theft complaints than the national average of 23%, we will perform a one-sample z-test for proportions at the 9% level of significance.

Step 1: State the null and alternative hypotheses.
H0: p = 0.23 (The proportion of identity theft complaints in the state is equal to the national average.)
H1: p > 0.23 (The proportion of identity theft complaints in the state is higher than the national average.)

Step 2: Determine the sample proportion and sample size.
Sample proportion (p-hat) = 468/1820 ≈ 0.2571
Sample size (n) = 1820

Step 3: Calculate the test statistic.
z = (p-hat - p) / √[(p * (1 - p)) / n]
z ≈ (0.2571 - 0.23) / √[(0.23 * (1 - 0.23)) / 1820] ≈ 1.88

Step 4: Find the critical value and make a decision.
At the 9% level of significance, the critical value (zα) for a one-tailed test is 1.34. Since our test statistic (z ≈ 1.88) is greater than the critical value (zα = 1.34), we reject the null hypothesis.

The data provide enough evidence to conclude that the state had a higher proportion of identity theft complaints than the national average of 23% at the 9% level of significance.

Learn more about one-sample z-test here: https://brainly.com/question/31358088

#SPJ11

Answer:

The first four terms are:  -3, -1, 1, and 3

Step-by-step explanation:

First 4 terms are:

f(1) = 2 (1) - 5  = -3

f(2) = 2 (2) - 5  = -1

f(3) = 2 (3) - 5  = 1

f(4) = 2 (4) - 5  = 3

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Base² + altitude² = hypotenuse²

Base² + 7² = 20²

Base² + 49 = 400

Base² = 400 - 49 = 351

Base = √351 = 18.73 = 18.7 mm

Answer:

The third answer

Step-by-step explanation:

1,30  2,60  3,90, and if you keep going, 4,120  5,150

I hope this helps.

In class 10 mathematics chapter 2 (Polynomials), there are 4 exercises.

'What are polynomials?'

Polynomials are algebraic expressions made up of coefficients and variables. Occasionally, variables are referred to as indeterminates. For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all possible; however, division by variable is not. x2+x-12 is an illustration of a single-variable polynomial. Three terms are involved in this example: x2, x, and -12.

The Greek words "polynomial" and "nominal" are the origins of the word polynomial, which is translated as "many phrases" when combined. There is no limit to the number of terms that a polynomial can have.

know more about variables here

https://brainly.com/question/15740935#

#SPJ4

The value of the z-scores from the normal distribution table are:

1.56, 2.58 and 0.90

The value of the z score form the normal distribution table is as follows:

a) P(-z < Z < z) = 0.95

This can be solved as:

1 - P(Z < - z) - P(Z > z) = 0.95

1 - P(Z > z) - P(Z > z) = 0.95

1 - 2 × P(Z > z) = 0.95

P(Z > z) = (1 - 0.95)/2 = 0.025

Looking at the normal distribution table gives us: z = 1.96

b) P(-z < Z < z) = 0.99

This can be solved as:

1 - P(Z < - z) - P(Z > z) = 0.99

1 - P(Z > z) - P(Z > z) = 0.99

1 - 2 × P(Z > z) = 0.99

P(Z > z) = (1 - 0.99)/2 = 0.005

Looking at the normal distribution table gives us: z = 2.58

c) P(-z < Z < z) = 0.64

This can be solved as:

1 - P(Z < - z) - P(Z > z) = 0.62

1 - P(Z > z) - P(Z > z) = 0.62

1 - 2 × P(Z > z) = 0.62

P(Z > z) = (1 - 0.62)/2 = 0.19

This will be 0.9 from the normal probability table.

Read more about Normal distribution table at: https://brainly.com/question/4079902

#SPJ4

Answer:

32.8 or 25.6

Step-by-step explanation:

80% of 32 = 25.6

80% + 32 = 32.8

Answer:

D. 1146.05

Step-by-step explanation:

Answer:

yea its d im preety sure it is

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

Answer:

Cube's features;

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

or

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.

To demonstrate the given situation, the type of chart(s) that is best to use is both an x-bar chart and an R-chart.

An x-bar chart is a statistical process control chart used to monitor the mean of a continuous data set over time. The chart plots the average (x-bar) of each subgroup of data points, rather than plotting individual data points, and provides information about process stability and control. The x-bar chart is often used in conjunction with an R-chart.

An R-chart (Range chart) is a type of statistical process control chart that is used to monitor the variability of a process by plotting the range (difference between the maximum and minimum values) of a subgroup of samples at different time periods. The R-chart provides a measure of process variability and helps detect changes in variability, which may indicate a change in the underlying process mean. The R-chart is typically used in conjunction with an X-bar chart, which monitors the process mean, to provide a comprehensive view of process performance.

The question seems incomplete, it must have been...

"Jars of pickles are sampled and weighed. Sample measures are plotted on control charts. The ideal weight should be precisely 11 oz. Which type of chart(s) would you recommend?

-both an x-bar chart and an R-chart

-p-chart

-an x-bar chart, but not an R-chart

-c-chart

-both a p-chart and a c-chart"

Learn more about x-bar chart here: https://brainly.com/question/2124467

#SPJ4

Answer:

83

Step-by-step explanation:

f(x) = 7x - 1

Put x as 12.

f(12) = 7(12) - 1

f(12) = 84 - 1

f(12) = 83

Answer:

Area under the curve f (x) = 38 on interval [88, 132]: 38 132 -3344 (Decimal: 1672)

Step-by-step explanation:

The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

To know more about Efficiency, visit

https://brainly.com/question/15418098

#SPJ11

Answer:

\(55^{\circ}\)

Step-by-step explanation:

By the Vertical Angle theorem, \(\angle 3 = 55^{\circ}\).

By the parallel line theorem, \(\angle 7 = \angle 3 = 55^{\circ}.\)

So, \(\boxed{\angle 7 = 55^{\circ}}\) and we're done!.

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

Learn more about polynomial division method here:

https://brainly.com/question/13763165

#SPJ11