Mathematics College

Solve for x, then
find the
measurement of
the tangents.

Answers

Answer 1

Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as

since the sides opposite to the equal angles are always equal we get as,

x-2 = 2x-10

===> -2 +10 = 2x-x

==> 8 = x

hence the measurement of the Tangents is,

putting x = 8

2(8)-10 ==> 16-10 ==> 6 cm

length of each tangent is 6 cm.

Answer 2

Answer:

Step-by-step explanation:

2x - 10 = x - 2

2x - x = - 2 + 10

x = 8

Related Questions

What is the answer please help me no links I will report you

Answers

Answer:
there are 180 girls

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles (Chance, Summer 2005). The probability that an intruding object (e.g. a missile) will be detected on a ight track by SBIRS is 0.8. consider a sample of 20 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object.

Required:
a. Demonstrate that x is (approximately) a binomial random variable.
b. Give the values of p and n for the binomial distribution.
c. Find P(x = 15), the probability that SBIRS will detect the object on exactly 15 tracks.
d. Find P(x≥15) the probability that SBIRS will detect the object on at least 15 tracks.
e. Find E(x) and interpret the result.

Answers

Answer:

Part A:

[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

P(X=15)=0.17456

Part D:

P(X≥15)=0.80417

Part E:

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

Step-by-step explanation:

Part A:

Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks

It means:

[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

x=15

[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]

By solving above Expression:

P(X=15)=0.17456

Part D:

P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)

[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]

P(X=15)=0.17456

[tex]P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819[/tex]

[tex]P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536[/tex]

[tex]P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153[/tex]

Now, Adding Probabilities:

[tex]P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\[/tex]

P(X≥15)=0.80417

Part E:

Mean Distribution:

E(x)=n*p

E(x)=20*0.8

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.

What is the measure of angle B?
12∘
20∘
141∘
129∘

Answers

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

Answer:

Step-by-step explanation:

A garden watering bucket has 3000 milliliters
of water in it, but there is a hole that is leaking
18 milliliters every minute. How much
water remains in the container after
a certain number of minutes?

Answers

Answer:

3000 - 18*x

Step-by-step explanation:

if "a certain number of minutes" = x then

water remains in the container = 3000 - 18*x

Answer:

y = 3000 - 18x

Step-by-step explanation:

To describe the scenario of a garden watering bucket with 3000 milliliters of water and a leak of 18 milliliters per minute, we can create a function.

Let's denote the number of minutes as 'x' and the amount of water remaining in the container as 'y'. The function can be represented as:

y = 3000 - 18x

In this function, 3000 represents the initial amount of water in the container, and 18x represents the amount of water leaked after x minutes.

Therefore, the function that describes the scenario is:

What is BD? please help

Answers

We’re looking for the angles right?

i think you would set BC and CD equal to 180 bc BD is a straight line (180°). so x+5+x. you'd have 2x+5=180. once you get the x value, you'd plug it into the x+5 to get that length. i am not 100% about this though bc it does seem weird to have a decimal length..

How are the outdoors healthy than the indoors?

Answers

You get vitamin D from direct sunlight in the outdoors rather than indoors

Because you have your own air indoors ig

Consider a component that fails according to the Exponential distribution with rate 2. Failures can be of three severities 1, 2, and 3, and the failure of severity i occurs with probability Oli. The repair time for failure of severity i is exponentially distributed with rate ui. Failures of severity 1 are show stoppers, that is, the system fails completely when a failure of severity 1 occurs. On the other hand, failures of severities 2 and 3 do not completely knock out the system, and it continues to operate in a degraded mode.
a) Draw a state transition diagram that represents the failure and repair processes of the component.
b) Derive an expression for the system to be completely available.
c) Derive an expression for the system to be operating in a degraded mode.

Answers

Answer:

attached below

Step-by-step explanation:

a) Diagram of state transition representing failure and repair process of component

attached below

b) expression for the system to be completely available

attached below

c) Expression for system to be operating in a degraded mode

attached below

Neeed help plz urgent need to turn in this assignment

Answers

Answer:

The area of the shaded region of the figure in the exercise is:

27.98 [tex]in^{2}[/tex]

Step-by-step explanation:

To obtain the area of irregular shapes, you can divide that shape in figure you know and you can obtain the area, first, we're gonna calculate the area of the right side and the left side with the formula below:

Area of a rectangle = base * height.Area of right rectangle = 1.6 in * 5.2 inArea of right rectangle = 8.32 [tex]in^{2}[/tex]

How the left rectangle and the right rectangle have the same measurements, we can say:

Area of left rectangle = 8.32 [tex]in^{2}[/tex]

You can see in the center there is a rectangle too, but you need just a half formed by a triangle, you can use two form for this: calculating the area of the triangle or calculating the area of the whole rectangle and next to divide in 2, we're gonna use the first:

Area of triangle = (base * height) / 2

In the exercise, the base of the shaded triangle is 2.7 inches, and the height you must add the measurements in the right side:

Height of the triangle = 1.6 in + 5.2 in + 1.6 inHeight of the triangle = 8.4 in

Now we replace in the formula:

Area of triangle = (2.7 in * 8.4 in) / 2Area of triangle = 22.68 [tex]in^{2}[/tex] / 2Area of triangle = 11.34 [tex]in^{2}[/tex]

By last, you must add all the calculated areas from the shaded regions:

Area of the shaded region = 8.32 [tex]in^{2}[/tex] + 8.32 [tex]in^{2}[/tex] + 11.34 [tex]in^{2}[/tex]Area of the shaded region = 27.98 [tex]in^{2}[/tex]

7.
12
6
a
a.
х
Above are two similar triangles. Which of the following could be the values of x and y?
x=6, y=10
b. x=6, y=8
C. x=8, y=9
d. x=9, y=8

Answers

Answer:

x = 9

y = 8

Step-by-step explanation:

We can find the value of x and y using similarity ratio because the triangles are similar

6/4 = x/6 cross multiply expressions

4x = 36 divide both sides by 4

x = 9

same goes with y

6/4 = 12/y cross multiply expressions

6y = 48 divide both sides by 6

y = 8

What is the area?
4.6 yd
7.7 yd

Answers

Answer:

A = 35.42 yd²

Step-by-step explanation:

We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.

The area of a rectangle shaped figure is given by :

A = lb

Where

l is length and b is the breadth

So, put all the values,

A = (4.6)(7.7)

= 35.42 yd²

So, the area of the figure is equal to 35.42 yd².

John went to his baseball game. His mom dropped him off at 4:40 pm and he left his game at 7:50 pm. How long was John at his game?

Answers

Answer:

I got 3 hours and 10 minutes

Step-by-step explanation:

If you continuously add numbers in decimal form you will find the answer also.

But also another way in order to find a time answer you could also subtract

7.50-4.40= 3.10

or just 3.1 in this case.

But in a time frame always add the 0 to it.

So 3 hours and 10 minutes!

I think so indeed.

A company produces and sells homemade candles and accessories. Their customers commonly order a large candle and a matching candle stand. The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g. Both distributions are approximately normal.
Let T= the total weight of a randomly selected candle and a randomly selected stand, and assume that the two weights are independent.
If the total weight T of the two items is under 683g, the company gets a discount on shipping.
Find the probability that the total weight is under 683g.
You may round your answer to two decimal places.
P(T<683)≈

Answers

Answer:

P(T<683) = 0.1587 = 15.87% ≈ 16%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.

The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g.

The package consists of one candle of each type. So

[tex]\mu = 500 + 200 = 700[/tex]

[tex]\sigma = \sqrt{15^2 + 8^2} = 17[/tex]

Find the probability that the total weight is under 683g.

This is the pvalue of Z when X = 683.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{683 - 700}{17}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

Answer:

d radias

Step-by-step explanation:

The another way to look at the circumference of a circle is the perimeter of the circle. Option A is correct.

What is the circumference of the circle?

The circumference of the circle is the length of its boundary. It can found out using the following formula,

[tex]P=2\pi r[/tex]

Here, (r) is the radius of the circle.

The overall length of the straight sided figure is called its perimeter.The overall length of the circle boundary which is curved is called the circumference.

Thus, the another way to look at the circumference of a circle is the perimeter of the circle. Option A is correct.

Learn more about the circumference of the circle here;

https://brainly.com/question/402655

An agricultural scientist collected data to study the relationship between the amount of nitrogen added to a cornfield and the number of
bushels of corn produced. This is the regression line of the data, where y is measured in bushels of corn and x is measured in pounds of
nitrogen.
y = 0.43x + 28.5
What is the meaning of the slope of the regression line?
O A. For every 0.43 pounds of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OB. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.
-
OC. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OD. For every 28.5 pounds of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.

Answers

Answer:

Step-by-step explanation:

just done the assignment

Linear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.

Given information-

The equation of the experiment to know the relationship between the amount of nitrogen added to a cornfield and the number of bushels of corn produced is,

[tex]y=0.43x+28.5[/tex]

Linear regression line

Linear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.

Linear regression line can be represent as,

[tex]y=Ax+B[/tex]

Here x is the explanatory variable and y is the dependent variable. A is the slope of the line and B is the intercept.

In the given equation there are two variable given.

Variable x represent the amount of nitrogen added, and the variable y, represents the number of bushels of corn produced.

As putting the value of x the y increases with value of number 0.43. Thus as we are increasing the value of the nitrogen with unit 1 the number of bushels of corn produced is increased by unit 0.43.

Hence for every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.

Learn more about the linear regression here;

https://brainly.com/question/25311696

Mai biked miles today, and Noah biked miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

Answer: I'm sorry but you'd have to be more specific. Please include numbers.

Step-by-step explanation:

what is the conjugation ending of er verb

Answers

Answer:

je -parle

tu - parles

il/elle/on - parle

nous - parlons

vous - parlez

ils/elles - parlent

Answer:

Verbs with infinitives ending in -er form a second group of regular verbs in Spanish, often called second conjugation verbs.

Step-by-step explanation:

To conjugate these verbs in the present tense, drop the -er from the infinitive and add the second conjugation present tense endings: -o, -es, -e, -emos, -en.

A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, .97, 1.03, 1.04, .99, .98, .99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximate normal distribution. Interpret the interval carefully in the context of the problem

Answers

The Answer is on the bottom of the photo.

What is the volume to the nearest tenth?

Answers

Answer:

34.4 yds3

Step-by-step explanation:

tuve la misma pregunta hoy

What is the area=???

Answers

Answer:

5x^2 + 2

Step-by-step explanation:

pretty sure

Answer:

6.25

Step-by-step explanation:

x+2=5x

2= -x+5x

2=4x

2/4=4x/4

1/2=x

Plug into formla of rectangel: L*W

L= 5(0.5)= 2.5

W= 0.5+2 = 2.5

L*W= 2.5*2.5 = 6.25

What is the simplified form for 4 to the 3rd power .4 to the 8th power ?

Answers

Answer:

64 and 65536

Step-by-step explanation:

you just multiply everything

How many faces does a triangular pyramid have?

A. 3
B. 6
C. 4
D. 5

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

C. 4.

thanks hope it helps

Triangular pyramid has 4 faces. Hope it helps :)

please dont answer if you are not 100% sure.
Make sure you answer both parts and be detailed in your explanation.

a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.

b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.

Answers

Answer:

a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.

2x + 8 = 2(x + 4)

2x + 8 = 2(x) + 2(4)

2x + 8 = 2x +8

2x + 8 - 8 = 2x + 8 -8

2x = 2x

2x/2 = 2x/2

x = x

So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.

----------------------------------------------------------------------------------------------------------------

b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.

3x + 7 = 3(x + 7)

3x + 7 = 3(x) + 3(7)

3x + 7 = 3x + 21

3x + 7 - 7 = 3x + 21 - 7

3x = 3x + 14

3x/3 = 3x/3 +14

x = x + 14

However, this is false. x cannot be equal to itself plus 14.

x ≠ x + 14

The simplification of this equation is untrue, so there is no solution to it.

----------------------------------------------------------------------------------------------------------------

I hope this is helpful :) Good luck

In a survey, 18 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a sample mean of $47 and sample standard deviation of $3. Construct a confidence interval at a 90% confidence level.

Answers

Answer:

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7396

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7396\frac{3}{\sqrt{18}} = 1.23[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47 - 1.23 = $45.77

The upper end of the interval is the sample mean added to M. So it is 47 + 1.23 = $48.23

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

kim is paid £9.40 per hour for the first 35 hours she worked each week
after 35 hours she is paid at one and a quater times the hourly rate
calculate how much she is paid for that week

Answers

Answer:

after 35 hours she makes 11.75 an hour

Step-by-step explanation:

Other Questions

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Solve for x, then find the measurement of the tangents.

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Solve for x, then
find the
measurement of
the tangents.