Find the measure of x.
78.3°
115

The y-coordinate for point Q lies on the circle 2√5

According to the question,

The point Q lies on the circle and has an x-coordinate of 4

As we know that

The standard equation of circle having (0,0) as center is

=> x² + y² = r²

Looking at the figure , We can calculate the radius

r = 6

Substituting all the values,

x² + y² = r²

=> (4)² + y² = (6)²

=> 16 + y² = 36

=> y² = 36 - 16

=> y² = 20

=> y = √20

=> y = 2√5

The y-coordinate for the point Q is 2√5

To know more about Circle here

https://brainly.com/question/11833983

#SPJ4

The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

To know more about hypothesis refer here:

https://brainly.com/question/32562440#

#SPJ11

Answer:

There can be no answer, as you did not provide the box plot to compare the data.

The classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent. The Option B is correct.

We have a consistent independent equation when a system of linear equations has exactly one solution. When this occurs, the graphs of the system's lines cross at exactly one point.

For our question, we can start by rearranging the first equation to isolate y:

\(4x + y = 4\\y = -4x + 4\)

We can see that the second equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. So we can identify that the slope of the second equation is -4 and the y-intercept is 4.

Now we can compare the slopes and y-intercepts of the two equations to determine the classification of the system of equations:

In this case, we can see that the slopes of the two equations are different (-4 and 0) and the y-intercepts are the same (4). Therefore, the system is consistent and there is a unique solution. So the classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent

Read more about consistent independent equation

brainly.com/question/26523945

#SPJ1

Answer:

Seven is a factor of 21, but not a multiple of three.

Step-by-step explanation:

21 / 3 = 7

3*2 = 6

3*3 = 9

The seven is a factor of 21, but not a multiple of three.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine whether the number is a factor of 21 but not a

multiple of 3

We need to write 21 as the product of its prime factors, which is 21.

⇒ 21 = 3×7

Here factor 7 is not a multiple of 3

Therefore, the seven is a factor of 21 but not a multiple of 3

Learn more about Prime Factorization here:

brainly.com/question/4184435

#SPJ2

Answer:

$240

Step-by-step explanation:

The scatter plot is defined as a type of representation and is used to the relationship between the two numerical variables. It is used as a mathematical  diagram that uses the Cartesian coordinates to display the values for two variables of the given data.

In the context, it is given that a scatter plot shows 8 households and average amount of money that each house spends on groceries.

The scatter plot is given below which shows the amount of money spend on the groceries by each household.

So by the scatter plot it can be seen by the different plotting given that the average amount of money spent for a house hole having seven members on groceries is $240.

240 I know cause I had a review and got it right

Answer:

c

Step-by-step explanation:

Answer:

2y=3x=-4

Step-by-step explanation:

grouping like terms

y+ly =4x-x=-4

2y=3x=-4

The first five non-zero terms of the Taylor series for f(x) = ∑(n=0 to ∞) (-1)^(n+1) 5e^(x-4) centered at x = 4 are -5e, 5e(x-4), -25e(x-4)^2/2!, 125e(x-4)^3/3!, and -625e(x-4)^4/4!.

The Taylor series expansion of a function f(x) centered at a point x = a can be expressed as:

f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...

In this case, the function f(x) is given as f(x) = (-1)^(n+1) 5e^(x-4), and it is centered at x = 4. To find the first five non-zero terms, we substitute the values of n from 0 to 4 into the function and simplify:

For n = 0:

(-1)^(0+1) 5e^(x-4) = -5e

For n = 1:

(-1)^(1+1) 5e^(x-4)(x-4)^1/1! = 5e(x-4)

For n = 2:

(-1)^(2+1) 5e^(x-4)(x-4)^2/2! = -25e(x-4)^2/2!

For n = 3:

(-1)^(3+1) 5e^(x-4)(x-4)^3/3! = 125e(x-4)^3/3!

For n = 4:

(-1)^(4+1) 5e^(x-4)(x-4)^4/4! = -625e(x-4)^4/4!

These are the first five non-zero terms of the Taylor series expansion for f(x) centered at x = 4.

Learn more about Taylor series here:

https://brainly.com/question/32235538

#SPJ11

Answer:

Sara is 9 years old while Yusuf's is 11 years old

Step-by-step explanation:

The given parameters are;

The ratio Sara and Yusuf share the money they receive = The ratio of their ages

The amount Sara and Yusuf received from their grandmother this year = R1,500

The amount of money Sara receives = R675

Therefore, the amount of money Yusuf receives = R1,500 - R675 = R825

Let 'x', and 'y' represent the ages of Sara and Yusuf

Therefore, the ratio of their ages, x/y = R675/R825) = 9/11

x·11 = y·9

x, and y < 18

When x = 9, y = 11, we  get;

9·11 = 11·9

Therefore a possible solution is Sara's age = x = 9 and a possible solution for Yusuf's age, y = 9

The additive inverse of –2+ 8i will be 2 – 8i. The additive inverse of a digit is the digit that delivers zero when added to it.

The additive inverse of a number is the number that produces zero when added to it. A negative number's additive inverse is positive. The additive inverse of itself is zero.

From the definition;

\(\rm x= 2+ 8i \\\\ \rm x= 2+ 8i + 2-8i \\\\ \rm x= 0\)

Option C gives zero on addition. That's why it is correct.

Hence the additive inverse of –2+ 8i will be 2 – 8i.

To learn more about the additive inverse refer to the link;

https://brainly.com/question/13715269

Answer:

The answer is C:

2-8i

Step-by-step explanation:

Edge 2022 :-)

Answer:

4A=5.1 per million 4B=3.8 years

Step-by-step explanation:

4A. A=0.2^2+.01t+5.1 the current level would be 5.1

4B. 8=.2t^2+.01+5.1 minus 8  .2t^2+.01-2.9

t=(-1.0+squ.0001-41-.58)/.4

t=(-.01+squ2.3201)/.4

t=3.78  t+3.78=0 =-3.78

t=-3.83 t-3.83=0 =3.83

Answer 3.83 years

Step 1

Find the value of x using the elimination method

Given;

Hence,

Step 2

Find the value of y

Hence, x = -1 and y = 2

Answer:

h = 5.80

\(V = \pi r^2h\)

\(h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79\) ≈ 5.80

1.The formula for the volume of a right circular cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

We are given that the base diameter is 20cm, so the radius is half of that, which is 10cm.

Therefore, the volume of the cylinder is:

V = πr^2h

V = π(10cm)^2(5cm)

V = π(100cm^2)(5cm)

V = 500π cm^3

Hence, the volume of the cylinder is 500π cubic centimeters.

2.We are given that the height of the cylinder is 22 1/4 and the diameter is 2 2/5 times its height. First, we need to find the radius of the base.

The diameter of the base is 2 2/5 times the height, so we can write:

d = (12/5)h

Substituting in the given value of h, we get:

d = (12/5)(22 1/4) = 54.4 cm

Therefore, the radius of the base is:

r = d/2 = 27.2 cm

Now, we can use the formula for the volume of a cylinder:

V = πr^2h

Substituting in the values of r and h, we get:

V = π(27.2cm)^2(22 1/4 cm)

V ≈ 50,873.36 cm^3

Rounding to the nearest hundredth, we get:

V ≈ 50,873.36 cm^3 ≈ 50,873.35 cm^3

Hence, the volume of the cylinder is approximately 50,873.35 cubic centimeters.

Answer:

p = 8

Step-by-step explanation:

3 + 1 + p = 12

Rearrange the equation so that you have integers on one side and algebra on the other.

3 + 1 + p = 12

p = 12 - 3 - 1

p = 8

Answer:

The graph flips over the x-axis

Variance of monthly rate of return in dollar terms = 23.50.

The variance of the monthly rate of return in dollar terms can be calculated using the following formula:

Var($R_{USD}$) = $Var(R_{FC})$ + ($Var(e)$ + 2$\cdot Cov(R_{FC}, e)) \cdot (\frac{FC}{USD})^2$

Where,

$R_{USD}$ = Monthly rate of return in dollar terms

$R_{FC}$ = Monthly rate of return in foreign currency

$e$ = Exchange rate fluctuations between the dollar and the foreign currency

$FC$ = Foreign currency per USD

$Cov(R_{FC}, e)$ = Covariance between the monthly rate of return in foreign currency and the exchange rate fluctuations

Given:

$Var(R_{FC})$ = 1.14

$Var(e)$ = 17.64

$Cov(R_{FC}, e)$ = 2.34

Contribution of cross-product term = 0.04

Substituting the given values in the above formula, we get:

Var($R_{USD}$) = 1.14 + (17.64 + 2$\cdot$2.34$\cdot$0.04)$\cdot$($\frac{1}{FC})^2$

As the diameter of the circle is given as 7 feet, the radius would be half of the diameter, i.e. 3.5 feet. Therefore, the exact volume of the cone in terms of Pi can be calculated as follows:

Volume of cone = $\frac{1}{3}\cdot\pi\cdot r^2\cdot h$

Where,

$r$ = Radius of the cone

$h$ = Height of the cone

Substituting the given values, we get:

Volume of cone = $\frac{1}{3}\cdot\pi\cdot 3.5^2\cdot 4$

= 21.98 cubic feet.

Therefore, the exact volume of the cone in terms of Pi is 21.98 cubic feet.

To learn more about volume of cone, click here: brainly.com/question/3393150

#SPJ11

9514 1404 393

Answer:

  x = -7, x = 9

Step-by-step explanation:

We presume your equation is ...

  x² -2x -63 = 0

Factors of -63 that have a sum of -2 are -9 and +7. Then the factored equation is ...

  (x -9)(x +7) = 0

Solutions make the factors zero.

  x -9 = 0   ⇒   x = 9

  x +7 = 0   ⇒   x = -7

The solutions to the quadratic equation are x = -7 and x = 9.

Answer:

7g

Step-by-step explanation:

Answer:

so yeah g(7) lies in third case

(x+1)(x-5)

put x=7

8 * 2 = 16

Answer:

2 hours.

Step-by-step explanation:

2 and a half hours is 2.5 hours.

30 minutes is 0.5 hours.

2.5 - 0.5 = 2 hours.

Answer:

2 hours (I know I'm late but I like to answer things TvT)

Step-by-step explanation:

2 hours can be converted into 120 minutes (60 mins in an hour, 60 x 2 = 120)

120 minutes plus the half hour (30 mins) equals 150 minutes.

150 minutes minus 30 minutes equals 120 minutes, so 2 hours is your answer.

Answer:

(2x+1)(x+1)

Step-by-step explanation:

got it right on my quiz and also there is 2 reds= 2x on the bottom and 1 red=x and the yellow is the +1

The product represented by these algebra tiles is (2x+1) (x+1).

Suppose the blue tiles are x.

Suppose  the red tiles are 1.

Therefore,

length = 2 blue tiles + 1 red tile

= 2x+1

Breadth = 1 blue tile + 1 red tile

= x+1

Therefore, product represented by these algebra tiles is (2x+1) (x+1).

To learn more about algebra tiles, refer:

https://brainly.com/question/4407619

#SPJ2

Answer:

\(24\pi\)

Step-by-step explanation: may God bless you and your family during the spring break

The metric system is defined as the decimal system of units based on the meters, kilograms, and second as the units of length, mass, and time respectively. The imperial system is defined as the measurement system used in countries like the UK, Liberia, Myanmar, etc. that uses units like an inch, pound, ton etc.

The Metric and Imperial systems are both systems of measurement. That is, they are not just one unit of measure, but are correlated systems of many units of measure – measuring length and area, weight and mass, volume, force, temperature etc.

The imperial system of measurement is defined as a system that originated in Britain and came to formal use in the early 19th century with the Weights and Measures Act of 1824 and 1878. It uses some of the commonly used units there like an inch, ton, pound, gallon, pint, etc.

Most countries use the metric system which uses the measuring units such as meters and grams, and adds prefixes like kilo, milli, and centi to count orders of magnitude.

To read more about Measurement Units:

https://brainly.com/question/777464

Answer:

3 gallons of water

Step-by-step explanation:

1 gallon = 8 pints

24 pints of water (bottles) divided by 8 would be 3

therefore 24 pints of water is equivelant to 3 gallons of water.

Answer:

13 dollars an hour.

Step-by-step explanation:

65/5 = 13

total/time = constant of variation

Answer: 2.5 cups

Step-by-step explanation:

Thus, the radius of circle KM for the given value of tangent is found as: MK = 6 mm.

A tangent is really the line that follows the curve's slope at a specific location. It is the line that contacts the curve at any specific point and follows the curve in that location.

Given:

MK ⊥ NM (property of tangent drawn to any circle)

Using the Pythagorean theorem in right triangle NMK

NK² = MK² + NM²

MK² = NK² -  NM²

MK² = 10² + 8²

MK² = 100 - 64

MK = 6 mm

Thus, the radius of the circle KM for the given value of tangent is found as: MK = 6 mm.

know more about the tangent

https://brainly.com/question/17334358

#SPJ1