How are the two angles related?

Answer:

Step-by-step explanation:

Suppose the mean checkout tab for all customers at a large supermarket equals $65.12 with a standard deviation of $21.45. Twenty-three out of 100 times when a random sample of 45 customer tabs is selected, the sample mean should exceed what value

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Answer:

3

140-3= so she gave away 3

The correct calculation of the average is given as 0.2546

The average is a measure of central tendency that represents the typical value in a set of data. It is also known as the arithmetic mean and is calculated by adding up all the values in a set of data and then dividing the sum by the total number of values in the set.

The calculation of the average would be gotten by the number of hits / by the total bats that he had

This is given as

151 / 593

= 0.2546

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Answer:

i think i am pretty sure its a yes

No, the facility dose not have the exact pattern as the recent report at the 10% level.

To determine if the Facility have the same pattern,

By using Chi squared test for Goodness of fit state the hypothesis

\($H_{0}\) : μ = same pattern

\($H_{a}\) : μ ≠ same pattern

Expected frequency (E)  = proportion \(*\) summation of frequency

summation of frequency = 1000

degree of freedom \(= 7 - 1 = 6\)

Calculate the expected frequency (E) ,(O-E)²/E.  

Given that the observed frequency and expected proportion exists given

For Monday

expected frequency = proportion \(*\) frequency = 0.1 \(*\) 1000 = 100

(O-E)²/E.  = ( 120 - 100 )² / 100 = 4.0.

observed frequency (O), expected frequency (E)

For Tuesday

E = 0.1 \(*\) 1000 = 100

(O-E)²/E  = ( 130 - 100 )² / 100 = 9.0

For Wednesday through Sunday

Then perform Chi-squared test

X² = Σ(O-E)²/E  = 63.642    

∝ = 0.1

df = 6

hence P-value = 0.000 ( = chi sq dist rt(test-stat,df)

since P-value < ∝ ; we will fail to reject Ha  hence we reject \($H_{0}\).

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Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

The toast will land with buttered side 50% of the time.

First,

H₀:p=0.5, H₁: p₀ ≠0.5

P(butttered side down)= 19/51

π₀= 0.5

n= 51

Now, z = (p- π₀)/ √π₀(1-π₀)/n

z= (19/51 -0.5)/√0.5(1-0.5)/51

z= -1.82

as, α= 0.01 and \(z_{\alpha/2\)=  2.58

So, |z| < | \(z_{\alpha/2\)|

Thus, it reject H₀.

Thus, the toast will land with buttered side 50% of the time.

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Answer:

  3·ln(x) -ln(1+x)

Step-by-step explanation:

You want to "solve" the expression ln(x³/(1+x)).

The relevant rules of logarithms are ...

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

The given log expression can be expanded as ...

  \(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)

Answer:

5^40

Step-by-step explanation:

(5^3*5^5)=5^8

(5^8)^5=

5^40

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

y=155, x=65

Step-by-step explanation:

y+25=180

y=155

y=90+x

155=90+x

x=65

if my answer helped please mark as brainliest.

The required measure of angles x and y are 65° and 155° respectively.

Following the given figure, to determine the value of y and x.

In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.

To determine y, follow the property of supplementary angle:

y + 25 = 180
y = 180 - 25
y = 155°

To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65

Thus, the required measure of angles x and y are 65° and 155° respectively.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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9514 1404 393

Answer:

Step-by-step explanation:

In x-y coordinates, the direction is 70° CCW from 90° (north), so is 160° from the +x axis. In 4 hours at 18 Nm/h, the ship will travel 4×18 Nm = 72 Nm.

The coordinates in the x-y plane can be found to be ...

  72(cos(160°), sin(160°)) ≈ (-67.7, 24.6)

The ship traveled 67.7 nautical miles west and 24.6 nautical miles north from the port.

Answer:

Original price is $1610

Step-by-step explanation:

2737=1.7*Original price

divide each side by 1.7

Original price=1610

Hope this helps!

Answer:

A. line l

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

27

Step-by-step explanation:

Any positive integer to 3rd power will have positive answer.

Odd functions with number next to x^3 that is positive are increasing from left to right and thay also have a rotational symmetry with respect to the origin.Whe you put this together it's clear that the answer is 27

The solution of the system of equations can be seen in the image at the end, the system has infinite solutions.

Here we have the system of linear equations below:

y = 2x - 2

4x - 2y = 4

To find the solution graphically, we need to graph both of the equations on the same coordinate axis and find the point where the lines intersect.

The graph can be seen in the image below, and there you can see only one line, that is because both of the equation of our system represent the same line, and thus, the system has infinite solutions.

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Answer:

Put 25 in the box.

Step-by-step explanation:

Apply the exponent rule: (ax)^n = a^n × x^n

So we have:

(5x)^2 = 5^2 × x^2

= 25x^2

Best Regards!

  6.39

x 0.42

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

We can multiply as if it's a normal number and ignore the decimals for now.

    6.39

 x 0.42

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

    1278

+25560

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

 26838

Now, we can count the number of places over the decimal is in each number. In 6.39, there are two numbers after the decimal. In 0.42, there are also two numbers. We add those together to get 4. This is how many places over you will put the decimal in 26838.

Therefore, our answer is 2.6838.

268.38

Step-by-step explanation:

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a) The equation for Bueller's height above the ground as a function of time is: h(t) = 9 cos(πt/8) + 1.5

b) When Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.

In mathematics, a function is a rule that assigns a unique output value to each input value in a specified set. More precisely, a function is a set of ordered pairs (x, y) where each x-value (the input) corresponds to exactly one y-value (the output).

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. An equation consists of two sides, the left-hand side, and the right-hand side, separated by an equal sign (=).

According to the given information,

a) To determine an equation for Bueller's height above the ground as a function of time, we can use the equation for the height of a point on a Ferris wheel:

h(t) = r cos(ωt) + h0

where:

1) h(t) is the height of the point above the ground at time t

2) r is the radius of the Ferris wheel

3) ω is the angular velocity of the Ferris wheel (in radians per second)

4) t is the time elapsed since the point was at its lowest position

5) h0 is the initial height of the point above the ground

In this case, we know that Bueller boards the Ferris wheel at a height of 1.5 m off the ground, so h0 = 1.5 m. The radius of the Ferris wheel is 9 m, and it rotates once every 16 seconds, so the angular velocity is:

ω = 2π / T = 2π / 16 = π / 8 radians per second

Therefore, the equation for Bueller's height above the ground as a function of time is:

h(t) = 9 cos(πt/8) + 1.5

b) To find Bueller's height off the ground when he has been on the ride for 1 minute and 30 seconds (or 90 seconds), we can substitute t = 90 into the equation for h(t):

h(90) = 9 cos(π(90)/8) + 1.5

h(90) = 9 cos(11.25π) + 1.5

Using a calculator, we get:

h(90) ≈ -6.3 m

Note that the negative sign means that Bueller is below ground level, which is not physically possible. This occurs because we started counting time from the bottom of the wheel, so 90 seconds corresponds to the bottom position plus 5 and a half rotations. To fix this, we can add a multiple of the period T = 16 seconds to t to bring it back to the correct range:

h(t) = 9 cos(πt/8) + 1.5

h(90 + 5T/2) = 9 cos(π(90 + 5T/2)/8) + 1.5

h(90 + 5T/2) = 9 cos(π(2 + 5/16)) + 1.5

h(90 + 5T/2) ≈ 10.5 m

Therefore, when Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.

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Answer:

E. We cannot calculate this probability because the sampling distribution is not normal.

Step-by-step explanation:

Probability may be defined as how likely something is going to take place. It is concern with the numerical description of an even to occur likely.

In the context, the sampling distribution is normal when the sample size is generally greater than 30 (thirty).

But for sample size of 16 tomatoes, it is not normal. Therefore, we cannot find out the probability of the mean weight of 16 tomatoes as the sampling distribution is not normal.

The correct matches are: 4 in. → 10.2 cm   ,   7 kg → 15.4 lb

6 gal → 22.7 L   and  65 ft → 19.8 m.

Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.

For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.

Here are the conversions:

1 inch = 2.54 cm (approx.)

1 kg = 2.205 lb (approx.)

1 gal = 3.785 L (approx.)

1 ft = 0.3048 m (approx.)

Using these conversions, we can find the equivalent measures:

4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm

7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb

6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L

65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m

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The probability that the sample mean would be less than 40.6 dollars will be 0.534.

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is given as

z = (x – μ) / σ

The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.

If a sample of 51 bags of shrimp is randomly selected.

Then the probability that the sample mean would be less than 40.6 dollars will be

z = (40.6 – 40) / 7

z = 0.0857

Then the p-value will be

P(x < 40.6) = P(z < 0.0857)

P(x < 40.6) = 0.534

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The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.

Answer:

Radical Approximation

of A=5√2

of B=2√13

of C is 3√7

The expression y = sin(x²) cot(2x) when differentiated is 2xcot(2x)cos(x²) - 2csc²(2x)sin(x²)

From the question, we have the following parameters that can be used in our computation:

y=sin x² cot 2x

Express properly

So, we have the following representation

y = sin(x²) cot(2x)

When each term of the expression are differentiated using the first principle and the product rule, we have

sin(x²) ⇒ 2xcot(2x)cos(x²)

cot(2x) ⇒ -2csc²(2x)sin(x²)

So, the solution is 2xcot(2x)cos(x²) - 2csc²(2x)sin(x²)

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Answer:

Project A :

NPV : $703,888.64

IRR : 44.882%

Project B:

NPV : $5,241.26

IRR : 49.662%

Project B is more profitable

Step-by-step explanation:

The NPV gives the difference between the present value of cash inflow and cash outflow over a certain period of time.

The Internal rate of return is the discount rate which makes the NPV of an investment 0. It is used to estimate the potential return on an investment. Investments with higher IRR are said to be better than those with lower IRR value.

Using the net present value, (NPV) Calculator, the NPV for project A is : $703,888.64

The IRR of project A is : 44.882%

The NPV for Project B is : $5,241.26

The Internal rate of return (IRR) : 49.662%

From the Internal rate of return value obtained, we can conclude that, project B is more profitable as it has a higher IRR than project A.

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Answer:

Ok what are we supposed to do?

Step-by-step explanation:

Answer:

A. f(x) = 4x + 4

B. f(x) = x - 3.5

Step-by-step explanation:

A. Let's first break down the givens.

When we're given that \(f(a) = b\), for any a and b, that means that the point (a, b) exists on the graph of f(x).

Following this logic, we're given two points on the graph of f(x): (-1, 0) and (7, 2).

Using these two points, we can first find the slope of the function:

\(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - (-1)}{2 - 0} = \frac82 = 4\)

Now we can substitute one of the points, as well as the slope, to find the equation of the graph:

\(f(x) - y_1 = m(x - x_1)\\\to f(x) - 0 = 4\left(x - (-1)\right)\\\to f(x) = 4x + 4\)

B. Breaking down the givens, we know two things:

- The point (0.5, -3) exists on the graph f(x)

- The slope of the function is the same as the given line y. This is because parallel lines have the same slope. The equation of line y is \(y = x -4\), meaning that the slope is 1.

Substituting the given point and the slope to find the equation of the graph:

\(f(x) - y_1 = m(x - x_1)\\\to f(x) - (-3) = 1(x - 0.5)\\\to f(x) + 3 = x - 0.5\\\to f(x) = x - 3.5\)