Can someone please help me with this one??

Can Someone Please Help Me With This One??

Answers

Answer 1

Answer:

x = 3.6 cm

Step-by-step explanation:

By the theorem of intersecting secants,

"If two secants are drawn from a point outside the circle, product of the lengths of the secant segment and its external segment are equal."

3(3 + y) = 2(2 + 6 + 3)

9 + 3y = 2 × 11

3y = 22 - 9

3y = 13

y = [tex]\frac{13}{3}[/tex] cm = 4.33 cm

Now we will apply theorem of intersecting chords to determine the value of x.

" When two chords intersect each other in a circle, product of their segments are equal"

[tex]x\times 5=6\times 3[/tex]

[tex]x=\frac{18}{5}[/tex]

[tex]x=3.6[/tex] cm

Therefore, x = 3.6 cm and y = 4.33 cm


Related Questions

True or false: as the value of cosx decreases towards 0, the value of secx increases towards infinity

Answers

Answer:

True

Step-by-step explanation:

The lengths of nails produced in a factory are normally distributed with a mean of 5.02 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 6% and the bottom 6%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

The length that separates the top 6% is 5.1 centimeters.

The length that separates the bottom 6% is 4.94 centimeters.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 5.02, \sigma = 0.05[/tex]

Find the two lengths that separate the top 6% and the bottom 6%.

Top 6%:

The 100-6 = 94th percentile, which is X when Z has a pvalue of 0.94. So X when Z = 1.555.

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

[tex]1.555 = \frac{X - 5.02}{0.05}[/tex]

[tex]X - 5.02 = 1.555*0.05[/tex]

[tex]X = 5.1[/tex]

So the length that separates the top 6% is 5.1 centimeters.

Bottom 6%:

The 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

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

[tex]-1.555 = \frac{X - 5.02}{0.05}[/tex]

[tex]X - 5.02 = -1.555*0.05[/tex]

[tex]X = 4.94[/tex]

The length that separates the bottom 6% is 4.94 centimeters.

What is the value of
3/7x0.1/5/21
?
7
А.1/98
B.9/50
С.9/5
D.18/1

Answers

Answer:

B

Step-by-step explanation:

[tex]\dfrac{3}{7}\times 0.1 \div \dfrac{5}{21}= \\\\\\\dfrac{3}{7}\times \dfrac{1}{10}\times \dfrac{21}{5}= \\\\\\\dfrac{3\times 1 \times 21}{7 \times 10 \times 5}=\\\\\\\dfrac{63}{350}=\\\\\\\dfrac{9}{50}[/tex]

Therefore, the correct answer is choice B. Hope this helps!

Answer:

The answer to your question is 9/50

what is 3 43/ 100 as a decimal number.

Answers

Answer:

3.43

Step-by-step explanation:

3 is the whole number and 43 out of 100 is a standard fraction that can simply be stated as 0.43. Hope this helps!

Answer:

3.43

Step-by-step explanation:

Used calculator.

Bonita said that the product of 5/6 x 1 2/3 is 7/3.

How can you tell that her answer is wrong.

Answers

Answer:

  Bonita's product is too large

Step-by-step explanation:

The two factors in the problem are (5/6) and (5/3). The factor 5/6 is less than 1, ensuring that the product will be less than 5/3.

Bonita's result of 7/3 is more than 5/3, so is too large to be the product.

Fifty random shoppers at an electronics store have been interviewed and 35 of them intend to purchase a newly released smart phone. What probability distribution describes this situation and what are its mean and standard deviation of phone sales if we are concerned about 1071 shoppers that day

Answers

Answer:

We use the binomial distribution to describe this situation.

The mean number of phone sales is 749.7 with a standard deviation of 15.

Step-by-step explanation:

For each shopper, there are only two possible outcomes. Either they plan to purchase the newly released smart phone, or they do not. Each customer is independent of other customers. So we use the binomial distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Fifty random shoppers at an electronics store have been interviewed and 35 of them intend to purchase a newly released smart phone.

This means that [tex]p = \frac{35}{50} = 0.7[/tex]

What are its mean and standard deviation of phone sales if we are concerned about 1071 shoppers that day

1071 shoppers, so [tex]n = 1071[/tex]

Mean

[tex]E(X) = 1071*0.7 = 749.7[/tex]

Standard deviation

[tex]\sqrt{V(X)} = \sqrt{1071*0.7*0.3} = 15[/tex]

The mean number of phone sales is 749.7 with a standard deviation of 15.

What is the value of x to the nearest tenth? gradpoint

Answers

Answer:

5

Step-by-step explanation:

4) If the data below contained an outlier, which coordinate would best represent the outlier?

(MGSE8.SP.1)

100

90

80

70

60

50

Weight

(kgs)

40

30

20

10

0

0

200

250

100 150

Height (cms)

A. (150, 60)

B. (50,20)

C. (200, 100)

D. (250, 80)

Answers

Answer:

D. (250, 80)

Step-by-step explanation:

a) Outliers are values that "lie outside" the other values in a dataset, because their values are "far away" from the main group of data.

b) In this case, the values of A, B, and C have ratios of their coordinates of about 2.5, but the coordinate ratio of D is more than 3.  This makes it to lie far away from the group of data, and therefore an outliner.

c) The Ratios of the Coordinate Values are calculated as follows: A = 2.5 (150/60), B = 2.5 (50/20), C = 2 (200/100), while D = 3.125 (250/80).

What term should be inserted in
p²-
___+36 to make it a perfect
Square​

Answers

Answer:

12p

Step-by-step explanation:

the perfect square is form

(p - 6)² = p² - 12p + 36

Answer:

12p

Step-by-step explanation:

p² - ? + 36 = p² - ? + (-6)² = p² -2*6*p + (-6)² = p² - 12p + 36 = (p-6)²

Find the area of the smaller sector.
Round to the nearest tenth.
Help needed fast

Answers

Answer:

About 22.2 square feet

Step-by-step explanation:

First, you need to find the area of the full circle. The area of a circle is \pi r^2, which in this case is:

[tex]\pi r^2 = \pi \cdot 7.13^2\approx 159.628[/tex]

Now, since the sector is only 50 out of the total 360 degrees in a circle, you need to multiply this value by 50/360, which yields and area of about 22.2 square feet. Hope this helps!

The volume of a triangular prism is increased by a factor of 8.
By what factor is the surface area of the figure increased?
o 2
o 4
016
o 24

Answers

c:16

i believe that is the right answer

which law would you use to simply the expression 3^10/3^4 quotient power power of a quotient product of powers power of a product

Answers

ANSWER:
It will be like this 3^10/3^4
=(3)^10-4
=(3)^6
Law used x^m/x^n=x^m-n
HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!

Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear

Answers

Answer:

Plot the y-intercept at (0, 2). Plot your second point at (-1, -1).

Step-by-step explanation:

I attached an image of what the finished graph should look like when you press done. *rotate the image so the grey is on the bottom*

A man spend 3/5 of his money and has$ 90 left . how much did he have initially​

Answers

Answer:

225 I believe because if he has $90 that is 2/5 so add another 90 whitch is 2/5 as well and divide 90 by 2 and to get 45 which all adds up to 225

I need help with solving this

Answers

Answer:

49

Step-by-step explanation:

Positive 49 not -49

Evaluate the expression 2x-7 for x = -4

Answers

Answer:

-15

Step-by-step explanation:

The solution of expression for x = - 4 is,

⇒ - 15

We have to given that,

An expression is,

⇒ 2x - 7

Now, We can simplify the expression for x = - 4 as,

An expression is,

⇒ 2x - 7

Plug x = - 4;

⇒ 2 × - 4 - 7

⇒ - 8 - 7

⇒ - 15

Thus, The solution of expression for x = - 4 is,

⇒ - 15

Learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

A fair die is rolled twice, with outcomes X for the first roll and Y for the second roll. Find the moment generating function MX`Y ptq of X ` Y . Note that your answer should be a function of t and can contain unsimplified finite sums.

Answers

Answer:

[tex]\mathbf{\dfrac{e^{2t}}{36} + \dfrac{e^{3t}}{18} + \dfrac{e^{4t}}{12} +\dfrac{e^{5t}}{9} + \dfrac{5e^{6t}}{36} + \dfrac{7e^{7t}}{6} + \dfrac{5e^{8t}}{36} + \dfrac{e^{9t}}{9} + \dfrac{e^{10t}}{12} + \dfrac{e^{11t}}{18} + \dfrac{e^{12t}}{36} }[/tex]

Step-by-step explanation:

The objective is to find the moment generating  function of  [tex]M_{X+Y}(t) \ of \ X+Y[/tex].

We are being informed that the fair die is rolled twice;

So; X to be the value for the  first roll

Y to be the value of the second roll

The outcomes  of X are:  X = {1,2,3,4,5,6}

Where ;

[tex]P (X=x) = \dfrac{1}{6}[/tex]

The outcomes  of Y are:  y = {1,2,3,4,5,6}

Where ;

[tex]P (Y=y) = \dfrac{1}{6}[/tex]

The outcome of Z = X+Y

[tex]= \left[\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\ (2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\ (3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6) \\ (4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6) \\ (5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6) \\ (6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6) \end{array}\right][/tex]

= [2,3,4,5,6,7,8,9,10,11,12]

Here;

[tex]P (Z=z) = \dfrac{1}{36}[/tex]

∴ the moment generating function [tex]M_{X+Y}(t) \ of \ X+Y[/tex]is as follows:

[tex]M_{X+Y}(t) \ of \ X+Y[/tex] = [tex]E(e^{t(X+Y)}) = E(e^{tz})[/tex]

⇒ [tex]\sum \limits^{12}_ {z=2 } et ^z \ P(Z=z)[/tex]

= [tex]\mathbf{\dfrac{e^{2t}}{36} + \dfrac{e^{3t}}{18} + \dfrac{e^{4t}}{12} +\dfrac{e^{5t}}{9} + \dfrac{5e^{6t}}{36} + \dfrac{7e^{7t}}{6} + \dfrac{5e^{8t}}{36} + \dfrac{e^{9t}}{9} + \dfrac{e^{10t}}{12} + \dfrac{e^{11t}}{18} + \dfrac{e^{12t}}{36} }[/tex]

write this small number in standard form. 0.00078

Answers

Answer:

78/100000

Hope it helps you

7.8^ -4 is scientific notation

What’s the correct answer for this question?

Answers

Answer:

The last option is the correct choice 33.5

Step-by-step explanation:

[tex]V=\pi r^2\frac{h}{3} \\=\pi 2^2\frac{8}{3} \\=33.51\\=33.5[/tex]

Answer:

D

Step-by-step explanation:

In the attached file

If a random sample of 53 students was asked for the number of semester hours they are taking this semester. The sample standard deviation was found to be s = 4.7 semester hours. How many more students should be included in the sample to be 99% sure that the sample mean x is within 1 semester hour of the population mean  for all students at this college?

Answers

Answer:

94 more students should be included in the sample.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

How many students we need to sample to be 99% sure that the sample mean x is within 1 semester hour of the population mean?

We need to survey n students.

n is found when M = 1.

We have that [tex]\sigma = 4.7[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 2.575*\frac{4.7}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 2.575*4.7[/tex]

[tex](\sqrt{n})^{2} = (2.575*4.7)^{2}[/tex]

[tex]n = 146.47[/tex]

Rounding up

147 students need to be surveyed.

How many more students should be included...?

53 have already been surveyed

147 - 53 = 94

94 more students should be included in the sample.

y=2x−4y=−12x+1 Question 1 options: a) (3, 2) b) (0, 2) c) (2, 0) d) (2, 3)

Answers

The correct answer is d

A powerful computer is purchased for $2000, but loses 20% of its value each year. How much will it be worth 4 years from now?


a. Growth or Decay?


b. What is your multiplier?


c. Is $2000 your zero term or first term? term


d. Write the equation. (do not use spaces in your response; example: f(x)=10.2(1.22)^x )


e. Solve

Answers

Answer:

(A)Decay

(b)0.8

(c)First Term

(d)[tex]f(t)=2000(0.8)^t[/tex]

(e)$819.20

Step-by-step explanation:

The exponential function for modelling growth or decay is given as:

[tex]A(t)=A_o(1\pm r)^t[/tex],

Where:

Plus indicates growth and minus indicates decay.

[tex]A_o$ is the Initial Value\\r is the growth/decay rate\\t is the time period[/tex]

For a powerful computer that was purchased for $2000, but loses 20% of its value each year.

(a)Since it loses value, it is a decay.

(b)Multiplier

Its value decays by 20%.

Therefore, our multiplier(1-r) =(1-20&)=1-0.2

Multiplier =0.8

(c)$2000 is our First term (or Initial Value [tex]A_o[/tex])

(d)The function for this problem is therefore:

[tex]f(t)=f_o(1- r)^t\\f(t)=2000(1- 0.2)^t\\\\f(t)=2000(0.8)^t[/tex]

(e)Since we require the worth of the computer after 4 years,

t=4 years

[tex]f(4)=2000(0.8)^4\\f(4)=\$819.20[/tex]

g You run a regression analysis on a bivariate set of data ( n = 14 ). With ¯ x = 27.7 and ¯ y = 26.5 , you obtain the regression equation y = 0.495 x − 14.914 with a correlation coefficient of r = 0.39 . You want to predict what value (on average) for the response variable will be obtained from a value of 110 as the explanatory variable. What is the predicted response value?

Answers

Answer:

Predicted response value = 39.536

Note that this predicted response value will most likely be far from the actual response value because the correlation coefficient of the regression equation used (r = 0.39) is too far away from 1.

Step-by-step explanation:

The response variable is the dependent variable (y) whose value is obtained from the expression involving the independent variable (x).

For this question, although the correlation coefficient, r = 0.39, is far from 1, the regression equation is

y = 0.495x - 14.914

The predicted response value will be obtained from the explanatory variable and the regression equation

x = 110

y = 0.495x - 14.914

y = (0.495×110) - 14.914 = 39.536

Note that this predicted response value will most likely be far from the actual response value because the correlation coefficient of the regression equation used (r = 0.39) is too far away from 1.

Hope this Helps!!!

#2 Jamal is an apprentice on a boat on Long Island Sound. He is helping the captain collect samples of
marine life for an environmental study, and the captain is teaching him about nautical navigation.
When the boat leaves the environmental station, it will return to its home port 9 nautical miles away.
If
the boat maintains a constant speed of 15 knots (nautical miles per hour), how many minutes will the
trip take?​

Answers

Answer:

The trip will take 36 minutes.

Step-by-step explanation:

This question can be solved using a rule of three.

The boat maintains a constant speed of 15 knots (nautical miles per hour). How many minutes it will take to return to its home port 9 nautical miles away?

So in 60 minutes, 15 nautical miles. How many minutes for 9 nautical miles?

60 minutes - 15 nautical miles

x minutes - 9 nautical miles

[tex]15x = 60*9[/tex]

[tex]x = \frac{60*9}{15}[/tex]

[tex]x = 36[/tex]

The trip will take 36 minutes.

What is the answer for this one ?

4x+3y=20 2x+y=7

Answers

Answer:

x = 1/2 , y = 6

Explanation:

Step 1 - Align the equations and multiply the second row by 2

4x + 3y = 20

2x + y = 7

4x + 3y = 20

4x + 2y = 14

Step 2 - Subtract them both

4x + 3y = 20

4x + 2y = 14

y = 6

So, y = 6

Step 3 - Substitute y into the first equation

4x + 3y = 20

4x + 3(6) = 20

4x + 18 = 20

Step 4 - Subtract 18 from both sides

4x + 18 = 20

4x + 18 - 18 = 20 - 18

4x = 2

Step 5 - Divide both sides by 4

4x = 2

4x / 4 = 2 / 4

x = 2/4

So, x = 1/2

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
15 m
12 m
0
9 m
11 m

Thanks for anyone that answers

Answers

Need more information.

please help you will get 10 points and brainliest. and explain your answer.

Answers

Answer:

Top prism = 262 in.² Bottom prism = 478 in.²

Step-by-step explanation:

top prism:

front + back: 5 x 3 = 15

sides: 19 x 4 x 2 = 152

bottom: 19 x 5 = 95

15 + 152 + 95 = 262

bottom prism:

front + back: 5 x 6 x 2 = 60

sides: 19 x 6 x 2 = 228

top + bottom: 19 x 5 x 2 = 190

60 + 228 + 190 = 478

The radius of a circle is 2.6 in. Find the circumference
to the nearest tenth.

Answers

Answer:

16.

Step-by-step explanation:

since given the radius and the formula of the circumference of a circle is 2pie*r

Please answer this correctly

Answers

Answer:

28 and 7

35

Step-by-step explanation:

The area of a triangle is base*height/2, no matter the shape.

So the big one is 8*7/2 = 28 in²

And the little one is 2*7/2 = 7 in²

The total trapezoid therefore has an area of 28+7=35 in²

Prove that : sin^4(2x)=3/8-1/2cos4x+1/8cos8x
Someone plzz help!!!

Answers

sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer
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