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Answer:

y = 1/2x + 0

Step-by-step explanation:

Answer:

15/3 =5 is the correct answer

9514 1404 393

Answer:

  11 73/78 ≈ 11.9359   (not 14)

Step-by-step explanation:

The similarity statement tells us ...

  QS/QR = FG/FH

  QS = QR·FG/FH

  13x -14 = 154(55/60) = 847/6

Adding 14 = 84/6, we have ...

  13x = 931/6

  x = 931/78 = 11 73/78 . . . . . . . divide by 13

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Comment on the question

You get a nice integer answer for x if the similarity statement is written ...

  ∆FGH ~ ∆QRS . . . . . . . note the letters are in alphabetical order

Then you have ...

  QS/QR = FH/FG

  13x -14 = 154(60/55) = 168

  13x = 182

  x = 14

This nice answer to a nice similarity statement leads us to believe the question has an error in it.

We suspect you are expected to provide x=14 as the answer, even though that is NOT the answer to the question as written. You may want to discuss this with your teacher.

Answer:

182π

Step-by-step explanation:

Subtract areas of two smaller circles from the largest one

Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π

Area of second largest circle = 169π

Area of smallest circle = 49π

400π - (169π + 49π) = 182π

Answer:

[tex]\frac{5}{9}[/tex] in

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Given A = [tex]\frac{25}{81}[/tex] , then

s² = [tex]\frac{25}{81}[/tex] ( take the square root of both sides )

s = [tex]\sqrt{\frac{25}{81} }[/tex] = [tex]\frac{\sqrt{25} }{\sqrt{81} }[/tex] = [tex]\frac{5}{9}[/tex]

Answer:

[tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex] OR [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex]

Step-by-step explanation:

The first term is 72, and each term is equal to the previous term multiplied by 1/6. This yields the expression [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex], which is equivalent to [tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex].

Answer:

[tex]n _{th} = n _{1} {r}^{n - 1} \\ n _{th} = 72 \times 12 {}^{(n - 1)} \\ n _{th} = 72 \times ( {12}^{n} .12^(-1)) \\ n _{th} = 6 × {12}^{n} [/tex]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

A variable that can have any value between two given value is known as continuous variable, while a variable have only integer values is a discrete variable

The correct values are;

(c) (i) The probability of a height of at least 67 is 0.2263

(ii) The answers do not match due to the difference between the discrete and normal probability models

(d) (i) A probability that can be found using the discrete model but not the normal model is P (H = 60)

The probability of an exact value using the normal distribution is zero

(ii) A probability that can be found using the normal model but not the discrete model is P(H = 56)

The value is for height of 56 inches is not given on the histogram and therefore

The reason the above selections are correct is follows:

(c) (i) Using the normal probability model, we have;

The mean = 64.27 inches, the standard deviation = 2.66 inches

The z-score for the height of 67 inches is given as follows;

[tex]z = \mathbf{\dfrac{x - \mu}{\sigma}}[/tex]

Therefore, we have;

[tex]z = \dfrac{67 -64.97}{2.66} \approx 0.7632[/tex]

From the z-score table, the probability P(x < 67) = 0.7737

P(x > 67) = 1 - P(x < 67) = 1 - 0.7737 = 0.2263

The probability of a height of at least 67, by the normal model = 0.2263

(ii) Based on the histogram, we have;

The probability of at least 67 = The area of the bars equal to and larger than 67 = (0.11 + 0.07 + 0.05 + 0.02 + 0.01 + 0.01) × 1 = 0.27

The probability of a height of at least 67 = 0.27

The answer in part (c-i) and the answer in part (a) using the histogram do not match

The reason they do not match is that the normal model used in part c is

based on normal probability, which focuses on future events, using the

normal model which is a continuous probability model, while the value of

probability calculated using the histogram is based on the relative

frequency, which focuses on historical values, based on the discrete model

(d) (i) An example of a probability that can be found using the discrete model but not the normal model is the probability that the height of a woman is a discreet single value such as 65 inches

Therefore, using the discreet model, we have;

P(H = 65) = 0.18

Using the continuous model, we have;

P(H = 65) = 0

This is so because the continuous model is given by the area under the curve, which for a single value is infinitesimally small

(ii) An example of a probability that can be found using the normal model but not the discrete model is the probability of the height of a woman selected is 56 inches, P(H = 56) is not given in the histogram

Learn more about discrete and normal probability distributions here:

https://brainly.com/question/6476990

Answer:

25.5

Step-by-step explanation:

first find the area od the rectangle than the triangle.

to find the area count the number of squares and use A=b*h

than do the same for the triangle using A=.5*b*h

15=3*5

10.5=.5*3*7

10.5+15=25.5

Answer:

Answer:

Weight of each large box: 18.25kg

Weight of each small box: 13.25kg

Step-by-step explanation:

For this question, we have two unknowns, but we can solve them as we are given two equations.

If we use the variables 'L' for Large and 'S' for small, we  an write out the information given to us as equations:

3L + 5S = 121

6L + 2S = 136

Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:

2(3L + 5S) = 2(121)

=> 6L+10S=242

Now that we have one term which is the same, we can subtract one equation from the other:

  6L+ 10S = 242

- (6L + 2S = 136)

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

=>0L + 8S = 106

Now we can solve for S:

8S/8 = 106/8

S = 13.25

And use this value of S to solve for L:

3L + 5(13.25) = 121

3L + 66.25 = 121

3L + 66.25 - 66.25 = 121 - 66.25

3L = 54.75

3L/3 = 54.75/3

L = 18.25

Hope this helped!

Answer:

30 cm

Step-by-step explanation:

For perimeter you just need to add all the outer sides.

6+6.5+4+4+9.5

Evaluate that and you get 30.

That's your answer.

(Remember perimeter is the value AROUND the figure.)

Answer:

- 32, - 7, 18 and 127, 106, 85

Step-by-step explanation:

Add the common difference d to the previous term

(1)

a₁ = - 32

a₂ = a₁ + 25 = - 32 + 25 = - 7

a₃ = a₂ + 25 = - 7 + 25 = 18

The first 3 terms are - 32, - 7, 18

(2)

a₁ = 127

a₂ = a₁ + d = 127 - 21 = 106

a₃ = a₂ + d = 106 - 21 = 85

The first 3 terms are 127, 106, 85

Answer:

-32, -7, 18 and

127, 106, 85

Step-by-step explanation:

You can use the following formula to solve this:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

a is the nth term in the sequence. So at the 3rd term, n = 3

a₁ is the first term in the sequence. In your first question, a₁ is -32. In your second, a₁ is 127.

(n - 1) represents the term before a, or the term before the current term. So at the 3rd term, (n - 1) = 3-1, which is 2.

d represents the common difference between terms. Aka what you add or subtract to a term to get the next one.

For the first question, you know a₁ and d, so you can substitute them into the equation to find the second and third terms:

a = -32 + (n - 1)25

You also know (n-1), because a is 2 when you're looking for the second term. So (n-1) = 2-1, which is 1. So put that in the formula and simplify:

a = -32 + (1)25

a = -32 + 25

a = -7

The second term is -7. To find the 3rd term, do the same thing.

a = -32 + (n - 1)25

(n-1) is 2, since you're on the third term and n is 3.

a = -32 + (2)25

a = -32 + 50

a = 18

So the first 3 terms are -32, -7, and 18.

For the second one, the formula looks like this:

a = 127 + (n - 1)-21

The first term is 127. Find the 2nd (n is 2):

a = 127 + (1)-21

a = 127 -21

a = 106

Then find the 3rd term (n is 3)

a = 127 + (2)-21

a = 127 -42

a = 85

So the first 3 terms are 127, 106, and 85.

Answer:

[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]6k + 50.5 = 0 \\ 6k = - 50.5 \\ k = \frac{ - 50.5}{6} \\ k = - 8.4166..[/tex]

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

c = 100 or 10^2

d = 3125 or 5^5

Step-by-step explanation:

c. the answer for C is 10^2 because you just subtract the exponents same goes for d.

Answer:

50 pages per hour

Step-by-step explanation:

Answer:

22. acute triangle

23. right triangle

24. equilateral triangle

25. right triangle

Step-by-step explanation:

let me know if any of these are wrong

Answer:

i dont see the pic

Step-by-step explanation:

In this case I believe you would add 25 to both sides. The -25 +25 would cancel out and then +25 would be on the right.

Answer:

4/20

Step-by-step explanation:

Answer:

D?

Step-by-step explanation:

I don't really know for sure but I think it's D..Im super sorry if I get this wrong I'm not that good at math.

Answer:

268°

Step-by-step explanation:

[tex] In\: \odot O, [/tex] AB is diameter.

So, [tex] \widehat{AB} \:\&\: \widehat {BA}[/tex] are semicircular arcs.

[tex] \therefore m\widehat {AB} =m\widehat {BA} = 180\degree [/tex]

[tex] \because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA} [/tex]

[tex] \therefore \: m\widehat {BC} = (180-92)\degree [/tex]

[tex] \therefore \: m\widehat {BC} =88\degree [/tex]

[tex] \because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC} [/tex]

[tex] \therefore m\widehat {ABC} = 180\degree+88\degree [/tex]

[tex] \therefore m\widehat {ABC} = 268\degree [/tex]

Answer:

[tex]7\sqrt{3}[/tex]

Step-by-step explanation:

Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:

The side opposite to 30 degree angle: n

The side opposite to 60 degree angle: [tex]n\sqrt{3}[/tex]

The side opposite to 90 degree angle: 2n

Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = [tex]7\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

Length of diagonals are :

[tex]D_1 = \sqrt{ (-5-(-1))^2 + (1-(-2))^2 }\\\\D_1 = 5\ units[/tex]

[tex]D_2 = \sqrt{(-2 -2 )^2 + (5-2)^2}\\\\D_2 = 5 \ units[/tex]

Now, Slope of both the diagonal is :

[tex]m_1 =\dfrac{1-(-2)}{-5-(-1)} \\\\m_1 = -\dfrac{3}{4}\\\\m_2 = \dfrac{5-2}{-2-2}\\\\m_2 = -\dfrac{3}{4}[/tex]

Now, product of slopes are :

[tex]m_1 \times m_2 = \dfrac{-3}{4} \times \dfrac{-3}{4}\\\\m_1 \times m_2 = \dfrac{9}{16}[/tex]

Since, the product of slope is not equal to -1 . It means that the slopes are not perpendicular.

Therefore, this quadrilateral is not square.