Find the value of x in the following equations
1. 2=64​

Since the calculated test statistic (2.836) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that more than half of internet users have posted photos or videos online.

To test the hypothesis that more than half of internet users have posted photos or videos online, we can use a one-sample proportion test. Let p be the true proportion of internet users who have posted photos or videos online. The null and alternative hypotheses are:

H0: p <= 0.5

Ha: p > 0.5

We will use a significance level of 0.05.

Using the given information, we have:

n = 855

x = (56/100) * 855

= 479.6 (rounded to nearest whole number, 480)

The sample proportion is:

p-hat = x/n

= 480/855

= 0.561

The test statistic is:

z = (p-hat - p0) / √(p0 * (1 - p0) / n)

where p0 is the null proportion under the null hypothesis. We will use p0 = 0.5.

z = (0.561 - 0.5) / √(0.5 * (1 - 0.5) / 855)

= 2.836

Using a standard normal distribution table or calculator, the critical value for a one-tailed test at a 0.05 level of significance is approximately 1.645.

To know more about hypothesis,

https://brainly.com/question/11560606

#SPJ11

The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

To know more about integration visit :

https://brainly.com/question/31744185

#SPJ11

Answer:

x=35

Step-by-step explanation:

A pentagon's sum of interior angles is 540 degrees.

Now, we can set up an equation.

(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540

Combine similar terms

16x - 20 = 540

16x = 560

x = 35

Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

Learn more about equation

https://brainly.com/question/2972832

#SPJ1

Answer:

6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x

Step-by-step explanation:

For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.

(there's an error in this question)

As for question 6,

a) with coordinate (x,y) = (-2,7)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(-2,7) ➡️ (x2,y2) then,

m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -7/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −7/2 (x-0)

If we simplify this, we simply get

y = −7/2 x ← This is our equation for coordinate (-2,7)

b) with coordinate (x,y) = (2,-1)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -1/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −1/2 (x-0)

If we simplify this, we simply get

y = −1/2 x ← This is our equation for coordinate (2,-1)

c) with coordinate (x,y) = (4,-5)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -5/4 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −5/4 (x-0)

If we simplify this, we simply get

y = −5/4 x ← This is our equation for coordinate (4,-5)

d) with coordinate (x,y) = (10,-17)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -17/10 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −17/10 (x-0)

If we simplify this, we simply get

y = −17/10 x ← This is our equation for coordinate (10,-17)

Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

If two samples are selected from same population, then two samples are  guaranteed to have exactly same t-statistic is (d) If samples are same-size and have same-mean and have same-variance.

If two samples are selected from the same population and have the same size, same mean, and same variance, the t statistic calculated for both samples will be exactly the same.

The t statistic is computed using the sample means, sample variances, and sample sizes. When these values are identical for both samples, the calculations for the t-statistic will yield the same result.

This scenario ensures that the t-statistic, which is used for hypothesis testing or constructing confidence intervals, will be consistent across the two samples.

Therefore, the correct option is (d).

Learn more about T Statistic here

https://brainly.com/question/29487397

#SPJ4

The given question is incomplete, the complete question is

If two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?

(a) If the samples are the same size and have the same variance.

(b) If the samples are the same size and have the same mean.

(c) If the samples have the same mean and the same variance.

(d) If the samples are the same size and have the same mean and have the same variance.

Answer:

c, y = 0.16x (16 = 100*0.16)

Step-by-step explanation:

Answer:

Earthquakes

Step-by-step explanation:

Earthquakes are vibrations of the earth’s crust caused by movement at plate boundaries and major fault lines.

Answer: 439.2 miles

Step-by-step explanation:

213.5/3.5=61

61*7.2=439.2 miles in total

Answer:

Step-by-step explanation:

Number 5

Answer: The probability of getting a prime number exactly five times = 0.1908

Step-by-step explanation:

Prime numbers from 1 to 30 are 2,3,5,7,11, 13, 17, 19, 23, 29.

The probability of getting a prime number p= \(\dfrac{10}{30}=\dfrac13\)

Number of trials n = 12

Binomial probability formula:

\(P(X=x) = \ ^nC_x p^x(1-p)^{n-x}\)

, where x= number of successes

n= number of trials.

x = Number of successes

p= probability of getting one success.

The probability of getting a prime number exactly five times:

\(P(X=5)=\ ^{12}C_5(\frac13)^5(1-\frac13)^{7}\)

\(=\frac{12!}{5!7!}(\frac1{243})(\frac{128}{2187})\\\\=0.1908\)

Hence, the probability of getting a prime number exactly five times = 0.1908

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.

We are to determine the total number of minutes Judy worked out for the week.

The gym holds three 45-minute workout sessions and two 30-minute sessions each week

So,

We can write,

The total number of minutes the gym holds workout sessions is

3 × 45 + 2 × 30

= 135 + 60

= 195 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.

The total number of minutes Judy didn't attend is

= 3 × 10 + 2 × 5

= 30 + 10

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was,

= 195 minutes - 40 minutes

= 155 minutes

Therefore,

The total number of minutes Judy worked out for the week was 155 minutes.

To learn more about visit Calculating time :

brainly.com/question/28523225

#SPJ1

To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:

P(A) = P(e1) + P(e4) + P(e6)

To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:

P(B) = P(e2) + P(e4) + P(e7)

To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:

P(C) = P(e2) + P(e3) + P(e5) + P(e7)

For more questions like probability visit the link below:

https://brainly.com/question/19054390

#SPJ11

Answer:

b

Step-by-step explanation:

hope this helps

Answer:

x=30m

Step-by-step explanation:

Smaller triangle of sizes 26m and 10m...

using Pythagoras rule...let the middle line that so the triangle be y...

26² = 10²+y²

26²-10²=y²

y²=676-100

y²=576

y=√576

y=24m

the middle line is now 24m

now the larger triangle of sizes 18m, 24m and x...

using Pythagoras rule...

x²=24²+18²

x²=576+324

x²=900

x=√900

x=30m

Answer:

x = 2

Step-by-step explanation:

Given

See attachment

Required

What is the value of x?

The vertical axis represents f(x) while the horizontal represents x.

From the attachment:

f(x) = 2 when x = 2

The circled point on attachment 2 represents the required point

Assume that each box is 1 unit.

Answer:

x=14,-14

ive answered like 4 of your questions lol

Answer:

f(3)=-60

Step-by-step explanation:

f(3)=5*(3^2)-7(4*3 + 3)

f(3)=5*9 - 7*15

f(3)=45-105

f(3)=-60

Answer: -60

Step-by-step explanation:

f(3) means that you replace the input function of x with 3; So, your equation would look something like this:

5(3)^2 - 7(4(3) +3)

= 5(9) - 7(15)

= 45 - 105

= -60

Answer:11111

Step-by-step explanation:

1

Answer:

Step-by-step explanation:

we have we know that see the graph

Let

Find the slope B   The slope is positive

so

The graph is increasing in the interval----------> (10, ∞)

Find the slope AB

The slope is negative

so

The graph is decreasing in the interval----------> (-∞,10)

therefore

His pay to play this game per draw is $0.1413

0.015 of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.

Given;

Money mark recieves for diamond=$0.45

Money mark recieves for queen=$0.60

Money mark recieves for queen of diamonds=$0.80

Now,

Probability of getting a diamond = 13/52

Price of one heart =$0.45

Pay for one heart = 13/52×0.45=$0.1125

Probability of getting a queen =4/52

Price of one queen =$0.60

Pay for one queen =4/52×$0.60=$0.0115

Probability of getting a queen of diamonds =1/52

Price of one queen =$0.80

Pay for one queen =1/52×$0.80=$0.015

Total pay for one draw= $0.1125+$0.0115+$0.0173=$0.015

=0.1413

Therefore, the pay per draw by probability will be $0.1413

Learn more about interpretation of probability here:

https://brainly.com/question/23024246

#SPJ1

Given that x = 7.5 m and θ = 39°, work out BC rounded to 3 SF. The triangle shown is a right-angled triangle Therefore, BC = x * tan θBC = 7.5 * tan 39°BC = 7.5 * 0.8090 (tan 39° to 4 decimal places)BC = 6.0675.

Therefore, BC rounded to 3 SF is 6.07 m (rounded up because the next digit is 5 or more).

Calculate BC rounded to 3 SF

Given that x = 7.5 m and = 39°.

A right-angled triangle is seen in the image.

BC = x * tan, or BC = 7.5 * tan, 39°, follows.

(Tan 39° to 4 decimal places) BC = 7.5 * 0.8090BC = 6.0675Because the following digit is 5 or higher, BC is rounded up to 3 SF, which is 6.07 m.

To know more about triangle , visit ;

https://brainly.com/question/17335144

#SPJ11

Answer:

C

Step-by-step explanation:

To convert from point-slope form to slope-intercept form, we can simplify and isolate the y.

We have the equation:

\(\displaystyle y-3=\frac{1}{2}(x-1)\)

Distribute the right-hand side:

\(\displaystyle y-3=\frac{1}{2}x-\frac{1}{2}\)

Add 3 to both sides:

\(\begin{aligned} \displaystyle y&=\frac{1}{2}x-\frac{1}{2}+3\\\\&=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}\\\\&=\frac{1}{2}x+\frac{5}{2}\end{aligned}\)

Our answer is C.

Answer:

180

Step-by-step explanation:

Answer:

117 ft³

Step-by-step explanation:

The tent is composed of a cuboid and a triangular prism

V ( cuboid) = 6 × 8 × 2 = 96 ft³

V(prism) = Ah ( A is the area of triangle and h is length )

              = \(\frac{1}{2}\) × 6 × (5.5 - 2) × 2

              = 3 × 3.5 × 2

              = 21 ft³

Total volume = 96 + 21 = 117 ft³

By making linear equations for given situation, the vendor sold 34 hot dogs and 84 sodas at the football game.

What is a linear equation, exactly?

A linear equation is an algebraic equation in which each term a constant or variable. In other words, a linear equation is an equation of the form:

y = mx + b

where y and x are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

Now,

Let x be the variable or number of hot dogs sold.

Then, according to the problem, the number of sodas sold is 50 more than the number of hot dogs sold. Therefore, the number of sodas sold can be represented as (x + 50).

We know that the total number of sodas and hot dogs sold is 118, so we can write an equation:

x + (x + 50) = 118

Simplifying and solving for x:

2x + 50 = 118

2x = 68

x = 34

Therefore, the number of hot dogs sold is 34, and the number of sodas sold is (x + 50) = 84.

So, the vendor sold 34 hot dogs and 84 sodas at the football game.

To know about linear equations visit the link

brainly.com/question/29739212

#SPJ1

On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = \(-1 < y < 1\)

Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.

The Range of the given function, f(x) = sin(x)

\(-1 < y < 1\)

To know more about Range visit:
https://brainly.com/question/12789483

#SPJ4

Answer:

-400i

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

z = -400i - 44.5

Step 2: Identify

Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i