A byte is how many bits?
a. 8
b. 80
c. 800
d. Depends on the computer

y = (-4/3)x + 1 this line will intersect point (3,-3) and be perpendicular to the line y = (3/4)x + 5.

y = (3/4)x + 5

Compare with the standard form of equation y = mx +c

3/4 is the slope.

The negative reciprocal of the slope is used to obtain a perpendicular slope.

-4/3 is the perpendicular slope.

Let's rewrite the equation: y = (-4/3)x + b

Remember that b is the line's y-intercept base. If the line must pass straight through the point (3, -3), we must determine the location of the base.

To accomplish this, we just enter our point into the formula and solve for our base.

-3 = (-4/3)(3) + b

Now calculate b: b = (-4/3)(3) + 3

b = -4 + 3 b = 1

You now get the final equation: y = (-4/3)x + 1 now that you have the base.

This line will intersect point (3,-3) and be perpendicular to the line y = (3/4)x + 5.

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Complete question:

write an equation passing through the point that is perpendicular to(3,-3); y= 3/4 x+5

Answer:

blank is 4

Step-by-step explanation:

We can set up the equation:

[tex]\frac{1}{8} *x = \frac{1}{2}[/tex]

To solve, multiply both sides by 8.

[tex]\frac{1}{2}*8 = 4[/tex]

This checks out with the other statement.

Therefore, C) The median for Felicia's data is bigger than the median for Gabriella's data is the claim best supported by the data in the box plots.

Basketball is a team sport played by two teams of five players each on a rectangular court. The objective of the game is to score points by shooting a ball through a hoop, which is located 10 feet high on a backboard at each end of the court.

In statistics, quartiles are values that divide a dataset into four equal parts, with each part comprising 25% of the data. The three quartiles that divide the data into four equal parts are the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3). The second quartile (Q2) is the same as the median of the dataset.

From the given box plots, we can see that Felicia's maximum number of points scored in one game is 28 and Gabriella's maximum is 24. Therefore, statement A is false.

The range of the data for Felicia is from 6 to 28, which is 22. The range of the data for Gabriella is from 10 to 24, which is 14. Therefore, statement B is false.

The median for Felicia's data is approximately 19 and the median for Gabriella's data is approximately 16. Therefore, statement C is true.

The first quartile for Felicia's data is approximately 12 and the first quartile for Gabriella's data is approximately 11. Therefore, statement D is false.

Thus, the statement best supported by the information in the box plots is C) The median for Felicia’s data is greater than the median for Gabriella’s data.

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Answer:

Step-by-step explanation:

q – 3 = 7 q

-3=6q

q=-1/2

2p=2p

{p∈IR}

Answer:

Set your calculator to degree mode.

sin(72°) = x/25

x = 25sin(72°) = about 23.8 feet

It takes the second marathoner 4 hours and 40 minutes to complete the marathon.

Let's assume the distance of the marathon is "d" miles.

The first marathoner runs at a constant speed for 4 hours, so we can find their speed as:

speed = distance / time = d / 4

The second marathoner starts by running at 4 times the speed of the first marathoner, so their speed is:

speed = 4(d / 4) = d

For the second half of the race, the second marathoner's speed drops to 3/4 of the first marathoner's speed. Let's assume it takes "t" hours for the second marathoner to complete the second half of the race. Then, we can write:

d / 2 = (3/4)(d / 4)(t)

Simplifying this equation, we get:

t = (2/3) hours

So the total time it takes the second marathoner to finish the race is:

4 + (2/3) = 4 2/3 hours = 4 hours and 40 minutes.

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The margin of error for the 95% confidence interval used to estimate the population proportion is 0.0680. So, the correct answer is option d.

Calculate the sample proportion:

The formula (p) = x/n, where x is the sample size (163) and n is the number of successes (96), yields the sample proportion.

Therefore, the sample proportion is 96/163 = 0.5896.

Calculate the standard error:

The formula SE(p) yields the sample proportion's standard error = √[p(1-p)/n], where n is the sample size, and p is the sample proportion.

Consequently, the sample proportion's standard error is as follows:

SE(p) = √[0.5896(1-0.5896)/163] = 0.037

Calculate the margin of error:

The margin of error is given by the formula ME = z × SE(p), where SE(p) is the standard error of the sample proportion and z is the z-score corresponding to the desired level of confidence.

The z-score for a 95% confidence interval is 1.96.

As a result, the error margin is:

ME = 1.96 × 0.037 = 0.0680

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Answer:

the required answer is 1 and -5

The length of side BD which is the altitude of the triangle is 2√(70)

The length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include

Let the altitude be h, hence we have the formula of the proportions as

AD / h = h / DC

plugging the values gives

20 / h = h / 14

h^2 = 20 * 14

h = √(20 * 14 )

h = √(280)

h = 2√(70)

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The best description of the area under the normal curve that would be used to approximate binomial probability is 'Area to the left of 46.5'.

To approximate the binomial probability, we can use the normal distribution as an approximation for the binomial distribution when the sample size is large enough, and the probability of success is not too close to 0 or 1. The mean of the normal distribution is equal to the mean of the binomial distribution, which is np, and the standard deviation of the normal distribution is equal to the square root of npq, where q is the probability of failure.

In this case, the number of DVDs that may malfunction follows a binomial distribution with parameters n = 319 and p = 1/100, where 1/100 is the probability of a DVD malfunctioning. Therefore, the mean of the binomial distribution is np = 3.19, and the standard deviation is [tex]\sqrt{npq}[/tex] = [tex]\sqrt{3.19*0.99}[/tex] ≈ 1.77.

To find the probability that at most 46 out of 319 DVDs will malfunction, we need to find the area under the normal curve to the left of 46.5 (since we are interested in the probability of at most 46 malfunctions, which includes 46.5 as well). Therefore, the answer is 'Area to the left of 46.5'.

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If a random sample of 20 gas stations was selected to estimate the gas prices. The type of error that could have occurred is a type I error, which is the rejection of a true null hypothesis. The probability of making a type I error is equal to the level of significance (α), which is 10% in this case. So, there is a 10% chance of making a type I error in this test.

To test if the true average gas price is under $3.50, we can use a one-tailed t-test with a null hypothesis of:

H0: μ >= $3.50

And an alternative hypothesis of:

Ha: μ < $3.50

where μ is the true population mean gas price.

Using a t-test with a sample size of 20, we can calculate the t-value as:

t = (x -bar - μ) / (s / sqrt(n))

where x-bar is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the given values, we get:

t = (3.40 - 3.50) / (0.22 / sqrt(20))

t = -2.03

Looking up the t-distribution table with degrees of freedom (df) = 19 and a 10% alpha level (α = 0.10), we find the critical t-value as -1.325.

Since our calculated t-value (-2.03) is less than the critical t-value (-1.325), we reject the null hypothesis in favor of the alternative hypothesis. Therefore, we can conclude that there is sufficient evidence to suggest that the true average gas price is under $3.50.

The type of error that could have occurred is a Type I error, which is rejecting a true null hypothesis. In this case, it means that we conclude that the true average gas price is under $3.50 when it's actually not. The probability of making a Type I error is equal to the alpha level, which is 10% in this case. So there's a 10% chance that we falsely reject the null hypothesis.

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Answer:

127. my answer needs to be 20+ character sooooooooooooo

Answer: 7x+4y=12 answer is x = (12/7, 0) and y (0,3) and the x+2y=-4 is

x intercepts (-4,0) and y intercepts is (0,-2)

Step-by-step explanation:

Add to one side and then divide

The  equation that shows the number of calories, c, in terms of the number servings, n  where Han wants to know how many calories he gets from the fruit snacks is  c = 90n.

Based on the provided information from the question, whereby Han wants to know how many calories he gets from the fruit snacks,  and was able to find the multilication of  number of servings, n, with calories per serving.

Therfore, we  can write the equation  as c = 90n since it is about the multiplication of the variables.

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complete question;

Each serving of a certain fruit snack contains 90 calories. Han wants to know how many calories he gets from the fruit snacks. Write an equation that shows the number of calories, c, in terms of the number servings, n. Complete the equation below c=______ Use n as your variable.

Answer:

A. x<-5

Step-by-step explanation:

-0.4x - 1.2 > 0.8

-0.4x > 2

x < -5

So, the answer is A. x<-5

The equation of the given circle is;Option D; x² + y² = 9

The general formula for the equation of a circle is expressed as;

(x - h)² + (y - k)² = r²

Where;

We are told that;

Circle is at the origin with coordinates (0, 0)

r = 3

Substitute the known values in the above equation, so, we have the following representation

(x - 0)² + (y - 0)² = 3²

Evaluate the exponents and open the brackets

x² + y² = 9

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The equation of the circle is; Option D: x² + y² = 9

The general formula for expressing the equation of a circle is :

(x - h)² + (y - k)² = r²

Where;

(h, k) is the coordinate of the center of the circle

r is the radius of the circle

From the given image of the circle, we see that the center of the circle is at the origin. Thus, the coordinates of the center of the circle is (0, 0)

We also see that from the origin to the circumference is 3. Thus:

r = 3

Plugging in the relevant values into the circle equation, we have:

(x - 0)² + (y - 0)² = 3²

Simplifying further gives us:

x² + y² = 9

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Answer: 3x²-2x+5=0

You subtract the 2x and add 9 from both sides to get 3x²-2x+9=0

Answer:

3x^2−2x+5=0

Step-by-step explanation:

3x^2-4=2x-9

first you gotta add 9 to both sides

3x^2+5=2x

then you gotta subtract 2x from both sides

3x^2-2x+5=0

-SpoOky

Answer:

C. -1.7

Step-by-step explanation:

-4.2 - x = -2 2/4

-2 2/4 = -10/4 = -2.5

-4.2 - x = -2.5

-x = 1.7

x = -1.7

So, the answer is C. -1.7

The area of the replaceable is [tex]15[/tex] square inches.

The area of a regular hexagon, we can use the formula:

[tex]A = (3\sqrt3 / 2) \times s^2[/tex]

Where A is the area of the hexagon and s is the length of one of its sides.

To find the area of the replaceable head, we can split it into two shapes: a rectangle and a triangle.

The rectangle has a length of 10 mm and a width of 12 mm, so its area is:

Area of Rectangle [tex]= length \times width = 10 mm \times 12 mm = 120 mm^2[/tex]

The triangle has a base of  [tex]12 mm[/tex] and a height of [tex]6 mm[/tex], so its area is:

Area of Triangle [tex]= 1/2 \times base \times height = 1/2 \times 12 mm \times 6 mm = 36 mm^2[/tex]

To find the total area of the replaceable head, we add the area of the rectangle and the area of the triangle:

Total Area =Area of Rectangle  +  Area of Triangle [tex]= 120 mm^2 + 36 mm^2 = 156 mm^2[/tex]

Therefore, the area of the replaceable head is   [tex]156[/tex]mm².

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We have shown that the left-hand side of the equation is equal to the right-hand side of the equation, and the trigonometric identity is proved.

We have,

(cos 2x + cos 4x)/(cos 2x - cos 4x)

We can use the identity cos 2A = 1 - 2sin² A to rewrite cos 4x as:

cos 4x = 1 - 2sin² 2x

Then, substituting this into the expression, we get:

(cos 2x + 1 - 2sin² 2x)/(cos 2x - 1 + 2sin² 2x)

Using the identity sin² A = 1 - cos^2 A, we can rewrite sin² 2x as:

sin² 2x = 1 - cos² 2x

Substituting this into the expression, we get:

(cos 2x + 1 - 2(1 - cos² 2x))/(cos 2x - 1 + 2(1 - cos² 2x))

Simplifying the numerator and denominator separately, we get:

(2cos² 2x + 1)/(2cos² 2x - 1)

Using the identity cot A = 1/tan A, we can rewrite tan 3x as:

tan 3x = sin 3x/cos 3x

We can then use the identity sin 3A = 3sin A - 4sin^3 A and

cos 3A = 4cos³ A - 3cos A to rewrite sin 3x and cos 3x as:

sin 3x = 3sin x - 4sin³ x

cos 3x = 4cos³ x - 3cos x

Substituting these expressions into the right-hand side of the equation, we get:

cot 3x/tan x = (cos x/sin x)/(3sin x - 4sin³ x)/(cos x)

Simplifying by multiplying the numerator and denominator by the reciprocal of the fraction in the denominator, we get:

cot 3x/tan x = (cos x/sin x) * (cos x)/(3sin x - 4sin^3 x)

Multiplying the two fractions together, we get:

cot 3x/tan x = cos^2 x/(sin x(3 - 4sin^2 x))

Using the identity 1 - cos^2 A = sin^2 A, we can rewrite cos^2 x as:

cos^2 x = 1 - sin^2 x

Substituting this into the expression, we get:

cot 3x/tan x = (1 - sin^2 x)/(sin x(3 - 4sin^2 x))

Simplifying the numerator and denominator separately, we get:

cot 3x/tan x = (1/sin x) x (1 + sin x)/(3 - 4sin^2 x)

Using the identity 1 + sin A = 1/cos A, we can rewrite the expression as:

cot 3x/tan x = (1/sin x) x (1/cos x)/(3 - 4sin^2 x)

Finally, using the identity cot A = cos A/sin A, we can rewrite the expression as:

cot 3x/tan x = cos x/(sin x(3 - 4sin^2 x))

Therefore,

We have shown that the left-hand side of the equation is equal to the right-hand side of the equation, and the trigonometric identity is proved.

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Count the significant digits in the number.

Since there are no captive zeros or trailing zeros, only the two non-zero digits (3 and 6) are significant.

The time measurement 0.0036 seconds has 2 significant digits.

Significant digits in the time measurement 0.0036 seconds, let's first define what significant digits are and then determine the number of significant digits in the given measurement.
Significant digits are the meaningful digits in a number that contribute to its precision.

These digits help to reduce any ambiguity when reporting measurements.
To determine the significant digits in the number 0.0036 seconds:
Identify non-zero digits.
All non-zero digits (1-9) are always considered significant.

The non-zero digits are 3 and 6.
Identify leading zeros.
Leading zeros are the zeros that appear before the first non-zero digit.

These zeros are not considered significant.

The leading zeros are the three zeros before the 3.
Identify trailing zeros.
Trailing zeros are the zeros that appear after the last non-zero digit.

If the number has a decimal point, these zeros are considered significant.

There are no trailing zeros.
Identify captive zeros.
Captive zeros are the zeros that appear between non-zero digits.

These zeros are always considered significant.

There are no captive zeros.
Count the significant digits in the number.

Since there are no captive zeros or trailing zeros, only the two non-zero digits (3 and 6) are significant. So, the time measurement 0.0036 seconds has 2 significant digits.

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Answer:

x² - 4 = 0

Step-by-step explanation:

choices: x² - 4 = 0, x² = -4, 3x² + 12 = 0, 4x² = 16, 2(x-2)² = 0

to find x= -2, 2

x² - 4 = 0

(x + 2) (x - 2) = 0

x = -2, 2

The total revenue between the two companies is $3,200

To find the Nash Equilibrium, we need to look for a situation where neither firm has an incentive to change their strategy. This occurs when both firms are charging a price of $8 per month and each has 200 customers, resulting in total revenue of $3,200.

At this price and quantity, neither firm can increase their revenue by changing their strategy. If Netflix were to increase its price above $8, some of its customers would switch to Flixbuster, and Netflix's revenue would decrease. Similarly, if Flixbuster were to decrease its price below $8, it would gain customers from Netflix, but its revenue would still decrease.

Therefore, the Nash Equilibrium in this scenario is a price of $8 and 200 customers for each firm, resulting in total revenue of $3,200 between the two companies.

In mathematical terms, the Nash Equilibrium is a solution to the following system of equations:

Qn = 300 - P

Qf = 300 - P

TRn = P(Qn)

TRf = P(Qf)

where Qn and Qf are the quantities demanded by Netflix and Flixbuster, respectively, P is the price, and TRn and TRf are the total revenues earned by Netflix and Flixbuster, respectively. Solving this system of equations, we get P = 8 and Qn = Qf = 200, which results in total revenue of $3,200.

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Complete Question:

The following table shows a small community's demand for monthly subscriptions to a streaming movie service. Assume that only two firms (Nextflix and Flixbuster) sell in this market, that each firm offers the same quality of service and movie selection, and that each firm's marginal cost is constant and equal to 0 (zero) due to excess capacity.

Price/Month    Number of Total (P) Customers (Q)        Revenue/Month(TR)

$10                                                     0                                                         $0

9                                                      100                                                     900

8                                                      200                                                1,600

7                                                      300                                               2,100

If the two companies are behaving in each best interest, and the market is able to reach a Nash Equilibrium. What is the total revenue between the two companies?

Answer:

The annual percentage yield (APY) is a measure of the return on an investment that takes into account the effect of compounding interest. To calculate the APY for an investment of $8000 at an interest rate of 4.75% compounded daily, you can use the formula:

APY = (1 + r/n)^(n*t) - 1

where r is the annual interest rate as a decimal (0.0475 in this case), n is the number of times the interest is compounded per year (365 for daily compounding), and t is the number of years (1 in this case).

Plugging these values into the formula gives:

APY = (1 + 0.0475/365)^(365*1) - 1 APY ≈ 0.0486

So, the APY for this investment is approximately 4.86%.

Step-by-step explanation:

The table of ordered pairs is completed below

Here is the completed table and plotted points:

Point x y (x,y)

A 4 9 (4,9)

B 6 3 (6,3)

C 1 3 (1,3)

D 8 7 (8,7)

E 8 9 (8,9)

To plot these ordered pairs on a coordinate plane, we need to draw the x and y axes, and label the units on each axis.

Then we can plot each point by starting at the origin (0,0) and moving horizontally (to the right if x is positive, or to the left if x is negative) and vertically (up if y is positive, or down if y is negative) to the corresponding point.

The points plotted on the coordinate plane are attached

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Complete the table. Then, plot the ordered pairs on the coordinate plane. Make sure to label each point with its corresponding letter.

              x                y       (x, y)

A            4                9

B            6                3

C            1                3

D            8                7

E             8                9

Answer:

Eqation a and 15

Step-by-step explanation:

because 5 pears all cut into thirds is 15 slices 5 times 3 is 15

The distance that the fish was able to travel in all was 23. 9 meters .

The distance from Harry to the fish' s hole can be found by the Pythagorean theorem:

a ² + b ² = c ²

7 ² + 7 ² = c ²

49 + 49 = c²

98 = c²

c = 9. 9

The total distance that the fish traveled can then be found by summing the distance it already traveled with the distance to Harry's:

= 14 + 9. 9

= 23. 9 meters

The fish traveled approximately 23.9 meters in all, rounded to the nearest tenth.

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The length of XZ in circle C is equal to the √34. This can be found using the Pythagorean theorem and the fact that XZ is a radius of the circle.

As WZ and XR are diameters, they intersect at the center of the circle, which we'll call point O.

Since WX is a chord of the circle, we can use the perpendicular bisector of WX, which passes through O, to find the length of XZ.

Let's call the midpoint of WX point M. Then OM is perpendicular to WX and bisects it.

So we have two right triangles, OXM and MXZ. We know that OM = 5 and XM = 3 (half of WX).

Using the Pythagorean theorem, we can find the length of OX:

OX² = OM² + MX²

OX² = 5² + 3²

OX² = 34

OX = √(34)

Since XZ is also a radius of the circle, we have XZ = OX = √(34).

Therefore, the measure of XZ in circle C is √(34).

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Answer:

Step-by-step explanation:

the fewer jumps=the jumps Ronaldo did - the jumps Ahanu did

                          = 1080-1050

                          = 30

Ana will hit the water 3 seconds after diving.

We need to solve for when her height is 0. We can set h(x) = 0 and solve for x:

-5(x+1)(x-3) = 0

This expression equals zero when either (x+1) = 0 or (x-3) = 0. Solving for these values gives:

x+1 = 0 or x-3 = 0

x = -1 or x = 3

The negative value for x doesn't make sense in this context since it represents a time before Ana even jumped off the board, so we can ignore it.

Therefore, Ana will hit the water 3 seconds after diving.

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