Side AD is opposite which angle of triangle ADC?

O. O. O. O.

Answer:

Step-by-step explanation:

Total beads: 48+32= 80

What % is 48 of 80

X/100 = is/of

X/100 = 48/80 (cross multiplication)

X = 60%

Answer:

the correct answeria A.pretest sensitization

Answer:

100, 144

Step-by-step explanation:

Answer:

100, 144, 196

Step-by-step explanation:

The probability that the sample mean of 100 televisions from manufacturer A will be at least 5 months more than the sample mean of 100 televisions from manufacturer B is very low, and this is unlikely to happen by chance.

Given parameters

Average lives of televisions from two manufacturers A =34 months  and B  = 30 months,

standard deviations of σA = 3 and of  σB = 4

Let XA and XB denote the sample means of 100 televisions from manufacturers A and B, respectively.

Find the probability that XA - XB > 5.

sample size n = 100 which is s reasonably large, then use the central limit theorem to approximate the sampling distribution of XA - XB as normal

mean μA - μB = 34 - 30 = 4

standard deviation σd =

.

where nA = nB = 100.

Substitute for A and B :

.

The probability that XA - XB > 5 can be expressed as:

P(XA - XB > 5) = P((XA - XB - (μA - μB)) / σd > (5 - (μA - μB)) / σd)

               = P(Z > 2(5 - 4) / 0.5)   [since the standard normal distribution is symmetric]

               = P(Z > 10)

where Z is the standard normal random variable.

With the standard normal probability table, P(Z > 10) is extremely small, approximately equal to 0.

Thus, the probability that the sample mean of 100 televisions from manufacturer A will be at least 5 months more than the sample mean of 100 televisions from manufacturer B is very low, and it is unlikely to happen by chance.

Learn more on probability on https://brainly.com/question/251701

#SPJ4

The value of the original price is, $1,029

We have to given that;

At a sale this week a desk is being sold for $247 this is a 24% discount from the original price.

Let us assume that, the original price is x

Hence, we can formulate;

24% of x = 247

Solve for x;

24/100 × x = 247

24x = 24700

x = 24700/24

x = 1,029

Thus, The value of the original price is, $1,029

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

a) The probability that the actual resistance of the resistor is between 56.5Ω and 57.3Ω can be calculated using the normal distribution with the given mean and standard deviation.

b) The value separating the lowest 15% of actual resistance values from the remaining values can be found by determining the corresponding z-score and using it to calculate the resistance value.

c) To find the probability that the sample mean exceeds 55.75Ω for a sample of 10 resistors, we can use the Central Limit Theorem and the properties of the normal distribution.

d) The probability that at least 450 of the 500 resistors have an actual resistance value less than 56.5Ω can be estimated using the binomial distribution.

a) To find the probability that the actual resistance is between 56.5Ω and 57.3Ω, we calculate the z-scores corresponding to these values and use the standard normal distribution table or a calculator to find the area under the curve between the z-scores.

b) The value separating the lowest 15% of actual resistance values can be determined by finding the z-score that corresponds to a cumulative probability of 15% in the standard normal distribution. This z-score can then be converted back to the resistance value using the given mean and standard deviation.

c) The probability that the sample mean exceeds 55.75Ω for a sample of 10 resistors can be approximated by assuming that the sample mean follows a normal distribution. We calculate the z-score corresponding to the sample mean and use the properties of the normal distribution to find the probability.

d) To estimate the probability that at least 450 of the 500 resistors have an actual resistance value less than 56.5Ω, we can use the binomial distribution. We calculate the probability of having less than 450 resistors with a resistance value less than 56.5Ω and subtract it from 1 to find the complementary probability.

To learn more about z-score visit:

brainly.com/question/31871890

#SPJ11

Answer:

Answer D.

Step-by-step explanation:

Rotate the triangle, so that x1 line becomes base. So, the measure of base will be y2-y1. To find the perpendicular height from the base, subtract x1 from x3. Then put the results in area of triangle formula.

The total number of people received basketball is 323 at 2 Hornets games on a weekend, the team gave out a free basketball to every 90th person who attended the games.

To work out the quantity of individuals who got a ball at the Hornets games, we want to initially find the quantity of participants who might meet all requirements for a b-ball. This is finished by separating the complete number of participants by 90, since the group gives out a b-ball to each 90th individual. For Saturday's down, 16,472/90 = 183.022, and that implies that 183 individuals got a b-ball. For Sunday's down, 12,624/90 = 140.267, and that implies that 140 individuals got a ball. Hence, a sum of 183+140 = 323 individuals got a ball at the two Hornets games throughout the end of the week.

To learn more about probability, refer:

https://brainly.com/question/18952069

#SPJ4

The rate of decrease in volume of the snowball when its diameter is 12 cm is approximately 1.36 cm³/min.

When a spherical snowball is melting, it's diameter decreases at a rate of 0.3 cm/min. The rate of change of volume of a sphere is given by:dV/dt= (4π/3)r²(dr/dt)Since the diameter is given as 12 cm, the radius of the snowball is 6 cm.So the diameter is decreasing at a rate of 0.3 cm/min.

We are to find the rate of decrease in volume of the snowball when the diameter is 12 cm.The radius of the snowball is given by r = 6 cm, and the rate of change of its diameter is d = -0.3 cm/min.At this point, we need to calculate the rate of decrease in volume of the snowball when the diameter is 12 cm.

The rate of decrease in volume of the snowball is given bydV/dt = (4π/3)r²(dr/dt)dV/dt = (4π/3)(6 cm)²(-0.3 cm/min)≈ -1.36 cm³/minTherefore, the rate of decrease in volume of the snowball when the diameter is 12 cm is approximately -1.36 cm³/min.

To know more about volume click on below link:

https://brainly.com/question/1578538#

#SPJ11

Answer:

7

Step-by-step explanation:

We know that alternate angles ( Z angles) are equal

So, the angle that is adjacent to (13x + 2) = (12x+3)

First, calculate the measure of the angle adjacent to (13x+2)

We know that the angles on a straight line add up to 180 degrees.

Therefore, the angle adjacent to (13x+2) = 180-(13x+2)

Simplify this to: 178-13x

So, now we have an equation

178 - 13x = 12x + 3

Rearrange to find the value of x

25x = 175

x = 7

Hope this helps.

Answer: x= 1.20833

The way it was written was a little confusing but hope this helps, This may be wrong just re write it for me and it should be correct next time.

Step-by-step explanation:

Step 1: Make parentheses

( 3x - 2 ) 4 ( -2x - 5 ) 3 = ( 1 + x ) 6

Step 2: Solve parentheses ( Multiplication and division first )

(4 * 3x = 12x) - (4 * 2 = 8) -> 12x - 8

(-2x * 3 = -6x) - (3 * 5 = 15) -> -6x - 15

(6 * 1 = 6) + (6 * x = 6x) -> 6 + 6x

New and improved equation:

-12x - 8 - 6x  - 15 = 6 + 6x

Step 3: add like terms

-12x - 6x = -18x

-8 - 15 = -23 so...

-18x - 23 = 6 + 6x

Step 4: solve it

-18x - 23 = 6 + 6x

               + 23

-18x = 29 + 6x

-6x

-24x = 29

x= 1.20833

If you like this answer:

Please like

Please make brainliest

Please rate however you see fit

And follow me if you have any future questions

Thank you.

The length of the diagonal is 12.6 feet.

"Information available from the question"

The perimeter of a rectangle is 32 feet.

The length is three times as long as the width.

We have to find the length of the diagonal.

Let w = width

then

3w = length.

Because we know the perimeter:

Perimeter of the rectangle is : 2(l + w)

32 = 2(w + 3w)

32 = 2(4w)

16 = 4w

4 feet = w (width)

Length:

3w = 3(4) = 12 feet

Diagonal, we use the Pythagorean theorem:

Let d = diagonal

then,

\(d^2 = 4^2 + 12^2\)

\(d^2\) = 16 + 144

\(d^2\) = 160

d = 12.6 feet

Learn more about Rectangle at:

https://brainly.com/question/15019502

#SPJ4

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Learn more about arithmetic progression here: https://brainly.com/question/20334860

#SPJ1

Answer:

17 feet

Step-by-step explanation:

We have to use the pythagorean theorem, this is actually a bit more complicated than it seems at a first glance.

If Tony is 8 feet to Lexi's right, then we can form a triangle as such

I can't paste it (sorry)

but we can use the formula a^2+b^2=c^2, so 15^2=225, and 8^2=64, and 225+64=289, and \(\sqrt289=17\)

so they're 17 feet apart!

The distance from your house to the movie theater is 14 hours * 40 mph = 560 miles. so, the required inequality will be d<560.

An inequality is a mathematical statement that describes the relationship between two values. It shows that one value is greater than, less than, or equal to another value.

For example, the inequality "x < 5" means that the value of x is less than 5. The inequality "y > 8" means that the value of y is greater than 8. And the inequality "z ≤ 9" means that the value of z is less than or equal to 9.

If your friend lives closer to the movie theater than you do, then the distance from your friend's house to the movie theater is less than 560 miles. This can be represented by the inequality d < 560, where d is the distance in miles from your friend's house to the movie theater.

To learn more about inequality visit:

https://brainly.com/question/28823603

#SPJ4

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

For more such question on doubled visit:

https://brainly.com/question/30599213

#SPJ8

The value of x from the given expression is 10

Linear function are functions that has a leading degrees of 1. Given the expression below;

(8x+10)=(6x+30)

Collect the like terms

8x - 6x = 30 - 10

2x = 20

Divide both sides by 2

2x/2 = 20/2

x = 10

Hence the value of x from the given expression is 10

Learn more on linear equation here: https://brainly.com/question/2030026

#SPJ1

An equation that models the situation, where p represents the number of pineapples Chad can purchase and w represents the number of watermelons he can purchase will be; 2.15p + 3.75w = 25.20.

Let's use the given information to create an equation to model this situation. We know that Chad spends a total of $29.68 on the fruit salad, so we can start with;

2.15p + 3.75w + 4.48 = 29.68

This equation represents the total cost of the fruit salad, which includes the cost of the pineapples (2.15p), the cost of the watermelons (3.75w), and the cost of the bag of grapes (4.48).

To make this equation more specific to the problem of finding the number of pineapples and watermelons Chad can purchase, we need to use the variables p and w to represent those quantities. We can set up a second equation based on the information given about the total number of fruits;

p + w + 1 = T

Here, T represents the total number of fruits in the salad, and we add 1 to account for the bag of grapes.

Now we can use substitution to eliminate the variable T. Solving for T in terms of p and w;

T = p + w + 1

Substitute this expression for T into first equation;

2.15p + 3.75w + 4.48 = 29.68

Simplify;

2.15p + 3.75w = 25.20

Therefore, the model of this situation is; 2.15p + 3.75w = 25.20

To know more about number of fruits here

https://brainly.com/question/9635242

#SPJ1

Answer:

a < 12

I hope this helps you :D

By setting the numerator and denominator equal to each other, we eliminate any potential for additional solutions or asymptotes in the rational equation. Therefore, the equation y = x represents a rational equation with one solution.

To create a rational equation with one solution, we can start with a simple linear equation, such as y = x. We can then turn this equation into a rational equation by dividing both sides by x. This gives us the equation y/x = 1.

To ensure that the rational equation has one solution, we can set the numerator and denominator of the rational function equal to each other. This gives us the equation y = x. This equation represents a rational function where the graph is a straight line passing through the origin with a slope of 1.

Learn more about rational:

https://brainly.com/question/24398433

#SPJ11

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

Step 3: Solve for y

The number of aduir tickets sold was 44. If 2/3 of the ticket is 66 and 1/3 of the tickets is 1/3, you’ll know that by diving 66 with 3 you find the answer for the children’s ticket. 66 divide 3 is 22. But how do you find the adults ticket? Well if the rest are all adults which it is then you find the left overs. 66-22=44 and the answer will be 44. 1/3 of 66 is 22 and 2/3 of 66 is 44.

Answer:

x = 4

AB= 24

Step-by-step explanation:

AB = 3(x+4)

BC= 4x + 3

add AB + BC together

7x + 15 Then make that equals AC

7x + 15 = 5x + 23

                      -15

 7x = 5x +8

- 5x

2x = 8

8/2 =4 x equals 4

(3 x 4) + (3 x 4) = 24 That's AB= 24

Answer:

11 tables - $145

t tables - 35 + 10t

Step-by-step explanation:

11 tables: $35 + 10*11 tables = 145

Answer:

total earning with 11 tables: $145

Step-by-step explanation:

if he gets a $10 tip per table you would do 10×11=110

and since he gets a guaranteed $35 a day you would do 35+110=145

According to the question (a) Only one solution exists, (b) Smallest solution: x = 0, y = 25, z = 0, (c) Largest solution: x = 50, y = 0, z = 0.

Let's solve the problem using an example where the total value of the money is $250.

(a) To find the total number of solutions, we need to determine the possible values for x, y, and z that satisfy the equation 5x + 10y + 20z = 250.

(b) To find the solution with the smallest number of five-dollar bills, we aim to minimize the value of x. Let's start by assigning x = 0 and solve for y and z. Substituting x = 0 into the equation, we have 10y + 20z = 250. By trying different values for y and solving for z, we find that when y = 25 and z = 0, the equation is satisfied.

Thus, the solution with the smallest number of five-dollar bills is x = 0, y = 25, and z = 0.

(c) To find the solution with the largest number of five-dollar bills, we aim to maximize the value of x. Let's assign x the maximum value possible while still satisfying the equation. In this case, let's set x = 50 and solve for y and z. Substituting x = 50 into the equation, we have 10y + 20z = 250 - 5(50) = 0. By trying different values for y and solving for z, we find that when y = 0 and z = 0, the equation is satisfied.

Thus, the solution with the largest number of five-dollar bills is x = 50, y = 0, and z = 0.

In summary, for a total value of $250, we have:

(a) There is only one solution.

(b) The solution with the smallest number of five-dollar bills is x = 0, y = 25, and z = 0.

(c) The solution with the largest number of five-dollar bills is x = 50, y = 0, and z = 0.

To know more about bills visit-

brainly.com/question/21025116

#SPJ11

Answer:

Like other forms like slope intercept and standard form, point-slope form can be used as a preference. The point-slope equation already reveals one point and the slope of a line. Using this information, lines can be graphed quite easily.

The distance between the points (-6, 7) and (-1, -5) is 13 units.

The complete velocity of an object, regardless of direction, is its distance.

Distance is the amount of space an object has traveled, regardless of where it began or concluded.

Knowing an object's distance from us allows us to calculate its true size.

Typically, the following formula is used to determine the distance between two points:

d=((x2 - x1)2 + (y2 - y1)2)

So, the following is the distance formula:

d=((x2 - x1)2 + (y2 - y1)2)

Points are: (-6, 7) and (-1, -5)

Now, put in the values in the above formula and calculate as follows:

d=((x2 - x1)2 + (y2 - y1)2)

d=((-1+6)2 + (-5-7)2)

d=√25+144

d=√169

d=13 units

Therefore, the distance between the points (-6, 7) and (-1, -5) is 13 units.

Know more about the distance here:

brainly.com/question/26550516

#SPJ4