9. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3. ​

Answer:

8

Step-by-step explanation:

edge 2020

Answer:

yes it is 8

Step-by-step explanation:

Answer:

28.3

Step-by-step explanation:

A = \(\pi r^{2}\)

Plug in:

A = \(\pi 3^{2}\)

A = \(9 \pi\)

A = 9 × 3.14 = 28.26 = 28.3

The answer is 28.3

Hope this helped.

Answer:

x= 7.6364

Step-by-step explanation:

hope this helps

The 99% confidence interval for the true mean lifespan of the product is, [12.128, 13.872].

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: A toy maker claims his best product has an average lifespan of exactly 18 years.

A skeptical product evaluator asks for evidence (data) that might be used to evaluate this claim.

The product evaluator was provided data collected from a random sample of 35 people who used the product.

Using the data, an average product lifespan of 13 years and a standard deviation of 2 years was calculated.

As sample size is large we will use z value to calculate confidence Interval 99% confidence Interval is

{x bar} Z_({1 - alpha/2}) (s/√{n})

13\ 2.576* 2/ √13

(12.128, 13.872).

Hence, the 99% confidence interval for the true mean lifespan of the product is, [12.128, 13.872].

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To simplify this expression, we can use the rule of exponents that states when dividing two powers with the same base, we can subtract their exponents. Therefore:

6^8/6^4 = 6^(8-4) = 6^4

So the expression 6^8/6^4 can be simplified as a single power of 6, which is 6^4.

Answer:

Step-by-step explanation:

Answer for this question is option (c) 0.2344

Approach:

The probability of getting a Head in single toss

x= 1/2

The probability of not getting a Head in single toss

y= 1 - 1/2 = 1/2

Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses

= ⁶C₂ * (1/2)² * (1/2)⁶⁻²

= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)

= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)

= 15/64

= 0.234374

= 0.2344 (Round off value)

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Given:

A fair coin is tossed 6 times.

To find:

Probability that you will toss exactly 2 heads.

Probability that you will get a head in a single toss is: Q = 1/2

Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2

We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)

Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²

Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)

Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)

Probability = 15 / 64

Probability = 0.234374

Probability = 0.2344

Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344

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Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

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Answer:

I think it is C. also

Step-by-step explanation:

Answer:

y = 13x -107

Step-by-step explanation:

(10 - -3) / (9-8) =13

10= 13* 9 + b

b = 10 - 117 = -107

Answer:

Step-by-step explanation:

Given that:

A professional climber makes his way up to 828 meters in 6 hours in Burj Khalifa.

Therefore; in two hours, he would have climbed:

x = (828 m × 2hrs)/6 hrs

x = 276 miles

In five hours, he would have climbed;

y = ( 828 m × 5 hrs)/6 hrs

y = 690 miles

SInce 60 minutes = 1 hour

Then 15 minutes will be ( 15)/60 = 0.25 hours

Thus, in the last 15 minutes;

He climbed  = (828 m × 0.25 hrs)/6 hrs = 34.5 miles

Answer:

The answer should be C. 250 in^3

Answer:

C. 250 in^3

Step-by-step explanation:

Answer:

y=-5x-3

Step-by-step explanation:

put -1 and 1 in equation and you will get the answer

The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0

The equation of the line passing through (-1, 2) and (1, -8). Then the equation of the line will be

y + 8 = [(-8 - 2) / (1 + 1)] (x - 1)

y + 8 = -5x + 5

y = - 5x - 3

The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.

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Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

(a) The path integral is 2/3 (exp(1) - 1).

(b) The path integral is 108 sqrt(26).

(a) In order to evaluate the path integral for the first case, we first need to parameterize the curve C. Since the curve is given in terms of x, y, and z, we can parameterize it by setting x=4, y=1, and z=t^2, so that the curve becomes:

C: t -> (4, 1, t^2), t ∈ [0, 1]

Now we can evaluate the path integral using the formula:

∫_C f(x, y, z) ds = ∫_a^b f(x(t), y(t), z(t)) ||r'(t)|| dt

where r(t) = (x(t), y(t), z(t)) is the parameterization of the curve C, and ||r'(t)|| is the magnitude of its derivative. In this case, we have:

r(t) = (4, 1, t^2)

r'(t) = (0, 0, 2t)

||r'(t)|| = 2t

So the path integral becomes:

∫_C f(x, y, z) ds = ∫_0^1 exp(Squareroot t^2) 2t dt

We can simplify this expression using the substitution u = t^2, du = 2t dt:

∫_C f(x, y, z) ds = ∫_0^1 exp(Squareroot t^2) 2t dt = ∫_0^1 exp(u^(1/2)) du

Now we can evaluate the integral using integration by substitution:

∫_C f(x, y, z) ds = [2/3 exp(u^(3/2))]_0^1 = 2/3 (exp(1) - 1)

So the final answer for the path integral is 2/3 (exp(1) - 1).

(b) In this case, the curve C is given by:

C: t -> (t, 3t, 4t), t ∈ [1, 3]

To evaluate the path integral, we use the same formula as before:

∫_C f(x, y, z) ds = ∫_a^b f(x(t), y(t), z(t)) ||r'(t)|| dt

where r(t) = (x(t), y(t), z(t)) is the parameterization of the curve C, and ||r'(t)|| is the magnitude of its derivative. In this case, we have:

r(t) = (t, 3t, 4t)

r'(t) = (1, 3, 4)

||r'(t)|| = sqrt(1^2 + 3^2 + 4^2) = sqrt(26)

So the path integral becomes:

∫_C f(x, y, z) ds = ∫_1^3 (3t)(4t) sqrt(26) dt = 12 sqrt(26) ∫_1^3 t^2 dt

We can evaluate the integral using the power rule:

∫_C f(x, y, z) ds = 12 sqrt(26) [(1/3) t^3]_1^3 = 108 sqrt(26)

So the final answer for the path integral is 108 sqrt(26).

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The break-even point for the given equation c = 15n + 269,000  , r = 95n  representing cost and revenue is equal to Option c. 3363units ( round up to nearest whole unit ).

As given in the question,

Cost equation is represented by :

c = 15n + 269,000

Revenue equation is given by ;

r = 95n

For the break-even point the cost is always equal to the revenue as there is no profit no loss.

c = r

15n + 269,000 = 95n

⇒ 95n - 15n = 269,000

⇒ 80n = 269,000

⇒ n = 269,000 / 80

⇒ n = 3362.5

⇒ n = 3363 units ( round up to nearest whole unit )

Therefore, the break-even point for the given cost and revenue is equal to Option c.  3363units ( round up to nearest whole unit ).

The above question is incomplete , the complete question is:

Find the break-even point for the given cost and revenue equations. round to the nearest whole unit. c = 15n + 269,000  , r = 95n

a. 80                          c. 3363        

b. 2445                      d. 110

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Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

The appropriate method for calculating the degrees of freedom associated with a correlation coefficient is  c. n - 1.

The degrees of freedom refer to the number of values in the dataset that can vary independently. In the context of correlation coefficient calculation, the degrees of freedom help determine the significance level of the relationship between the two variables being analyzed.

The reason we use n - 1 as the formula is that when examining the relationship between two variables, we are essentially comparing the differences between each data point and their corresponding means.

Since the correlation coefficient calculation requires that the sum of these differences equal zero, the last difference is essentially determined by the preceding differences. As a result, there are n - 1 independent values or degrees of freedom in this calculation.

By using the correct formula for degrees of freedom, we can more accurately determine the significance of the correlation coefficient and subsequently, the strength of the relationship between the two variables .The correct answer is c.

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How you do it is add the 44% of 132 to 132 (132 + (132×44%))

First you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together. 132 × 0.44 is 58.08 miles. Then you add that to the rest of the trip, 132 miles. (132 + 58/08 is 190.08)

Once your group has worked through the storming stage and can go on and work together, the group has achieved group cohesion.

Group cohesion refers to the degree of unity, harmony, and cooperation among group members. It is characterized by a sense of belonging, trust, and mutual respect within the group. Achieving group cohesion is crucial for the group's success as it enhances communication, cooperation, and productivity. It fosters a supportive and positive group climate where members feel comfortable expressing their ideas and opinions.

Group cohesion can be developed through various strategies such as team-building activities, open and respectful communication, establishing common goals, and addressing conflicts constructively. It is important to note that group cohesion is not a one-time achievement but a continuous process that requires ongoing effort and maintenance from all group members.

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The probability that the second ball you draw is gold is 0.619.

What is the probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Here, we have

Given: a room contains several urns 13 urns contain two gold balls, 6 urns contain one gold ball and one silver ball, 20 urns contain two silver balls.

Conditional probability is a measure of the probability of an event occurring given that another event has occurred.

Here given event is that first ball is gold. Hence sample space will have 13+8 = 21 urns.

For second ball to be gold, urn should have 2 gold balls hence it has 13 urns under above condition.

Probability = 13/21 = 0.619

Hence, the probability that the second ball you draw is gold is 0.619.

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The value of XS = 116, UZ = 43, and VY = 84.

What are perpendicular bisectors?

A line or line segment that divides a given line segment into two equal portions is known as a perpendicular bisector.

Here, we have

Given

The perpendicular bisectors of its sides are TS, US, and VS. They meet at a single point S.

VS 80, YZ=86, and ZS=116 and we have to find XS, UZ, and VY.

TS, US, and VS are perpendicular bisectors

So, XV = VY, YU = UZ, XT = TZ

Then, ΔYST ≅ ΔZST

ΔYSV ≅ ΔXSV

ΔYUS ≅ ΔZUS

So, XS = ZS = 116

UZ = 1/2YZ = 1/2×86 = 43

VY = VX

VX² + VS² = XS²

VX = √XS² -VS²

VX = √116² - 80²

VX = 84

Hence, the value of XS = 116, UZ = 43, and VY = 84.

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Answer:

$140

Step-by-step explanation:

$40 is 40% of $100 so...

She saves 40% of what she earns.

Find 40% of $350 to get your answer

40% of $350 = $140

Answer:

Step-by-step explanation:

Let's analyze the graph.

We observe that:

Based on our observations, the least degree polynomial function will have the form of:

To find the value of a we'll use the y-intercept:

Let's prove it with local maximum:

So the function is:

Answer:

1

Step-by-step explanation:

1 is the simplest probability

Answer:

\(A_f=470ft\)

\(P_f=88ft\)

Step-by-step explanation:

From the question we are told that:

Width of Portrait \(w=10inches\)

length of Portrait \(l=13inches\)

Frame each \(l_W=21/4inch each\)

Generally the equation for area of portrait A is mathematically given by

\(A=w*l\\A=10*13\\A=130m^2\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P=2(w+l)\\P=2(10+13)\\P=46m\)

Generally the equation for area of portrait  with frame is mathematically given by

\(A=w_f*l_f\)

where

w_f=width of portrait with frame

\(w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft\)

l_f=Length of portrait with frame

\(l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft\)

Therefore Area of picture with frame

\(A_f=w_f*l_f\)

\(A_f=20.5*23.5\)

\(A_f=470ft\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft\)

Step-by-step explanation:

i fnu havw 3 its 7 but 7m gos into m so m divides into 1 x 6 x 4 x 9 l qx

A triangle is a shape used to represent the components of total health. True