What is the value of x in this triangle?


Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

x =
°

Complete Question

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Answer:

The interval is  \(-0.0037 < p_1-p_2<-0.0023\)

Step-by-step explanation:

From the question we are told that

   The first  sample size is  \(n _1 = 1068000\)

    The  first sample proportion is \(\r p_1 = 0.089\)

    The  second sample  size is  \(n_2 = 1476000\)

    The  second sample proportion is  \(\r p_2 = 0.092\)

Given that the confidence level is  95% then the level of significance is mathematically evaluated as

             \(\alpha = (100 - 95 )\%\)

              \(\alpha = 0.05\)

Next we obtain the critical value  of  \(\frac{\alpha }{2}\)  from the normal distribution table  

The value is  

               \(Z_{\frac{\alpha }{2} } =z_c= 1.96\)

Generally the 95% confidence interval is mathematically represented as

       \((\r p_1 - \r p_2 ) -z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}} < (p_1 - p_2 ) < (\r p_1 - \r p_2 ) +z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}}\)

Here  \(\r q_1\) is mathematically evaluated as \(\r q_1 = (1 - \r p_1)= 1-0.089 =0.911\)

and  \(\r q_2\)  is mathematically evaluated as  \(\r q_2 = (1 - \r p_2) = 1- 0.092 = 0.908\)

So

       \((0.089 - 0.092 ) -1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}} < (p_1 - p_2 ) < (0.089 - 0.092 ) +1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}}\)

\(-0.0037 < p_1-p_2<-0.0023\)

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

640

Step-by-step explanation:

Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd

Answer:

Slope of the perpendicular line:

2x-5=y

y= -2x+5

Since its perpendicular, the sign of the slope will change and it will inverse its fraction(aka reciprocal).

So the slope is: 1/2

To find f(g(x)), we substitute g(x) in place of x in the function f(x).

f(g(x)) = f(5x/(1-x)) = (5x/(1-x)) / (5 + (5x/(1-x))) = 5x / (1-x+5-5x) = 5x / 6 - 4x/6 = x/6

To find g(f(x)), we substitute f(x) in place of x in the function g(x).

g(f(x)) = g(x/(5+x)) = (5(x/(5+x))) / (1 - (x/(5+x))) = 5x / (5+x-x) = 5x/5 = x

Therefore, f(g(x)) = x/6 and g(f(x)) = x.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

9514 1404 393

Answer:

  3

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = 1. It appears that it also crosses the grid intersection at (1, 4). This represents a "rise" (change in y) of (4 -1) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

 m = rise/run = 3/1 = 3

The gradient of the graph is 3.

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

4700 minus 1200 = 3500

Step-by-step explanation:

round 4704 down to 4700 and 1193 up to 1200

Answer:

4704 - 1193 ≈ 3,500

Step-by-step explanation:

We are given the first step to round each number to the nearest hundred.

=====================================

4,704 can be rounded down since the rounding digit (zero) is less than or equal to 4.

4,704 ≈ 4,700

1,193 can be rounded up since the rounding digit (nine) is greater than more equal to 5.

1,193 ≈ 1,200

=====================================

We will now take the difference of these two numbers:

4700 - 1200 = 3500

=====================================

Hope this helps!

Answer:

104.75

Step-by-step explanation:

90+6.75+96.75

96.75+7.98=104.73

104.73+0.02=104.75

If a company makes two models of television.

a The measurements of the larger screen are 55cm by 40cm.

b. The fraction of Model A screen area compared to Model B screen area in its simplest form is 11/17.

a) Model B has a screen that is 5:4 larger than Model A, so if the width of Model A is 44cm,

The width of Model B is:

44cm * 5/4 = 55cm

The height of Model B is:

32cm * 5/4 = 40cm.

So, the measurements of the larger screen are 55cm by 40cm.

b) The area of Model A is:

44cm * 32cm = 1408cm²

The area of Model B is:

55cm * 40cm = 2200cm²

So, the fraction of Model A screen area compared to Model B screen area is: 1408cm² / 2200cm².

To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 128:

(1408cm² / 128) / (2200cm² / 128) = 11 / 17

So, the fraction of Model A screen area compared to Model B screen area in its simplest form is 11/17.

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Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

15/4 +6y

Step-by-step explanation:

See Image below:)

The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.

Volume and capacity are two crucial ideas that are both fundamental and among those fundamental ideas that need to be thoroughly grasped. These ideas are a few that every youngster needs to comprehend from an early age. Different items will be displayed, especially when it comes to geometry in math, for which the volume and capacity must be computed. With a few practize problems, this will also enable the pupils to successfully solve bigger and more difficult problems. We come across a great deal of three-dimensional objects in our daily lives that take up a certain amount of space. The total amount of space that a material occupies is referred to as its volume.

Given

In the figures below the cube shaped box is 6 in wide and the rectangular box is 10 inches Long 4 inches wide and 4 inches high

Volume of cube box

= 6³

= 216

Volume of rectangular box

= 10 ×4×4

= 160

Difference

= 216 - 160

= 56

The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.

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Step-by-step explanation:

By Sine rule, BC/sin93° = 11/sin42°.

Therefore BC = 16.4.

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

only D is negative on the leading term

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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Answer:

x y

2 8

3 12

5 60

7 28

Step-by-step explanation:

5 x 12 = 60

By critically observing the given graphs, we can logically deduce that "graph C" returns greatest integer that is less than or equal (≤) to x.

A greatest integer function can be defined as a type of function which returns the greatest integer that is less than or equal (≤) to the number.

Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:

y = [x].

By critically observing the given graphs, we can logically deduce that y in "graph C" returns greatest integer that is less than or equal (≤) to x.

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Answer:

-6n-5=31

Step-by-step explanation:

-6n=36

n=36/-6

n=(-6)

If it is correct please mark me as brainliest.

Answer:

n = -1

Step-by-step explanation:

n−2−3=−6

Combine like terms

n-5 = -6

Add 5 to each side

n-5+5 = -6+5

n = -1

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

Answer:

The mean of this weeks temp

The mean of last weeks temp

The range of this weeks temp

Step-by-step explanation:

:)

Answer:

1. The mean of this week's temp

2. The mean of last week's temp

3. The range of this week's temp

Step-by-step explanation:

that is what i think

Answer:min=9, Q1=13, Med=15.5, Q3=22.3 Max=25

Step-by-step explanation:

TI calculator

1.Stat

2. Edit

3.Plug in the Data

4. Stat again- go to "CALC"

5.1-Vars stats and press enter

6. Scroll down

Answer:

s=m-2.75

Step-by-step explanation:

13.25-10.5=2.75,so the price for subway is 2.75

s=m-2.75

The linear function that describes the distance (in miles) is therefore y = 65x + 80

We have to find the slope and the intercept in other to get the linear function

The data points are:

(1, 145) and (3, 275).

m = (y2 - y1) / (x2 - x1)

fixing the data points we have

m = (275 - 145) / (3 - 1)

= 130 / 2

= 65

y = mx + b

(1, 145):

145 = 65(1) + b

b = 145 - 65

= 80

y intercept is 80

The linear function is therefore y = 65x + 80

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Simple Interest is defined as the interest that would be accumulated on a particular sum of money, loan, or investment kept or obtained from a financial institution.

The simple interest is $11.24

The formula for simple interest is given as:

I = P x R x T

Where

I = Simple Interest

P = Principal = $800

R = Interest rate = 1.71% = 0.0171

T = Time in years = 300 days

365 days = 1 year

300 days = ?

Cross Multiply

300 days x 1 year / 365 days

= 0.822 year

I = $800 x 0.0171 x 0.822

I = $11.24

Therefore, the simple interest is $11.24

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