The heights of 13 men in centimetres are given below. 162, 160,163, 160 , 165,187,170, 167, 174, 176, 178, 179, 178. How do I determine the mean of the heights correct to two decimal places?

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Answer:

\((3,0)\)

Step-by-step explanation:

The ordered pair that satisfies both inequalities will lie in the region that is shaded by both inequalities.

The two sequences of transformations that would show that triangles ABC and AED are similar are:

Dilating ΔABC by scale factor 1/2 and reflect A'B'C' over AD.

Reflect AED over line AB and Dilate A'E'D' by scale factor 2.

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given:

as, From the Figure we have to dilate the sides of ΔABC by scale factor 1/2.

Then, sides of Δ will be Similar with equal side ratio.

Then we can have,

Dilating ΔABC by scale factor 1/2 and reflect A'B'C' over AD.

or, Reflect AED over line AB and Dilate A'E'D' by scale factor 2.

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Answer:

10.25

Step-by-step explanation:

To convert mm to meters, divide the value by 1000.

10250/1000= 10.25

Answer:

can i have brainliest?

Step-by-step explanation:

Answer:

I think the answers should be 6

Answer:

the equation means the total cost of a ticket t and $3 skate rental for nine people is 81 dollars

entrance ticket costs $6

Step-by-step explanation:

solve the equation for t to get the ticket cost

9(t+3)=81

divide by 9 so t+3=9

minus 3 so t=6

that means the ticket costs 6 dollars

Hope this helps! :)

Answer:

the last scenario

Step-by-step explanation:

you cannot divide anything by zero -- it's considered to be undefined

the slope is -4, so B is the answer.

Answer:

5x6=y=−5

2x3=y=23

Step-by-step explanation:

i hope i helped im not very good at this stuff but i hope i helped-Sgee4

Answer:

all values

Step-by-step explanation:

15+7=22

22=22 all values

Answer:

22=22

Step-by-step explanation:

because 5x 3 is 15+ 7 will be 22

the answer shoulldd be 136°

Answer:

136 degrees

Step-by-step explanation:

I'm guessing you have to find the red line angle so umm, let's start I guess.

We see that m<AGF and m<GJE are corresponding and therefore, they are equal. Let's put that in an equation

6x+34=8x

subtract 6x on both sides

34=2x

x=17

WOOH, WE GOT WHAT X EQUALS!!!

Ok now, we do 8*17 which is 136

that means that m<GJE= 136

Let me know if you have any questions

Answer:

179

Step-by-step explanation:

(x+35)^0=1

supplement=

180-1

179

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Answer:

he ends up on floor 14

the highest difference between the floors has been 6

the highest change in floors at one time is 5(down)

Step-by-step explanation:

20-4=16

16+9=19

19-5=14

Given:

For the given figure,

The surface area is calculated as,

Answer: surface area is 92 square ft.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

y=4x-2

Step-by-step explanation:

from the graph shown

The function is actually a relation between variables in which the one variable is dependent on the other variable.

A function is defined as the relationship between variables in which the alteration of one variable affects the other variable.

Suppose we are having a function:-

\(F(x)=2x^2-1\)

In the above function f(x) is an independent variable and the 2x^2-1 is a dependent variable so for the different values of x the value of the dependent function varies.

Hence the function is actually a relation between variables in which the one variable is dependent on the other variable.

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Answer:

the perimeter is "16" and the area is "15"

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

5

Step-by-step explanation:

15-5=10

10+2=12

12-10=2

3+2=5

Answer:

25

Step-by-step explanation:

15-3=12

12+10=22

22-2=20

20+5=25

Now take 25 and go in the order the question states.

Answer:

The measure of the interior angle at vertex E can be determined by using the properties of triangles. In a triangle, the sum of all interior angles is always 180 degrees.

Therefore, to find the measure of the interior angle at vertex E, we need to subtract the measures of the other two angles at vertices A and B from 180 degrees. Let's assume that the measures of the angles at vertices A and B are a and b degrees, respectively. Then, the measure of the interior angle at vertex E can be calculated as follows: Interior angle at vertex E = 180 degrees - (measure of angle at vertex A + measure of angle at vertex B) Now, let's refer back to the given answer choices: A. 50 B. 90 C. 30 D. 150 Without additional information or a diagram, it is not possible to determine the exact measures of the angles at vertices A and B. Therefore, we cannot directly calculate the measure of the interior angle at vertex E. In order to solve this problem, we need more information about the triangle or a diagram that shows the relative positions of the vertices.

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a. The expected score for Josephine and Crystal is 17.3 and 17.1 respectively.

b. The total probability of these combinations is 0.045 + 0.120 + 0.030 = 0.195.

c. 0.195 the probability that the difference (Josephine minus Crystal) in their scores is -1.

d. 0.008 is the probability that Josephine will score a 9 for the first time the 4th time that Josephine and Crystal play the game.

d.  0.3267. is the probability that Crystal's score will be 17 exactly 3 times.

a. To calculate the expected score for each player, we use the formula:

Expected Score = Σ(\(x_i \times P_i\))

where \(x_i\) is the score and \(P_i\)is the probability of that score.

For Josephine:

Expected Score = 16(0.10) + 17(0.30) + 18(0.40) + 19(0.20) = 17.3

For Crystal:

Expected Score = 17(0.45) + 18(0.40) + 19(0.15) = 17.1

b. To find all combinations of possible scores for Josephine and Crystal that will produce a difference (Josephine minus Crystal) of -1, we need to subtract 1 from Josephine's score and compare it to Crystal's score.

The possible combinations are:

Josephine Crystal Probability

15 17 0.100.45 = 0.045

16 18 0.300.40 = 0.120

17 19 0.20 x 0.15 = 0.030

c. The probability that the difference (Josephine minus Crystal) in their scores is -1 is the sum of the probabilities of the combinations listed in part (b), which is 0.195.

d. The probability that Josephine will score a 9 for the first time on the 4th play is the probability of scoring less than 9 on the first three plays and then scoring exactly 9 on the fourth play.

Assuming that Josephine's scores are independent, we can use the multiplication rule of probability:

Probability = \(P(score < 9)^3\) x P(score = 9)

Probability = \((0.10 + 0.30 + 0.40)^3\) x 0.20

Probability = 0.008.

e. The probability that Crystal's score will be 17 exactly 3 times out of 5 plays is given by the binomial distribution formula:

Probability = \(C(5,3) \times (0.45)^3 \times (0.55)^2\) = 0.3267

where C(5,3) is the number of ways to choose 3 plays out of 5.

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Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

Answer:

\(\huge\boxed{\sf 111}\)

Step-by-step explanation:

= 24 + 8 + (9 x 2) x 4 + 7​

Parenthesis

= 24 + 8 + 18 x 4 + 7

Multiplication

= 24 + 8 + 72 + 7

Addition

= 32 + 72 + 7

= 104 + 7

= 111

\(\rule[225]{225}{2}\)

Hope this helped!

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Considering the definition of parallel line, the correct answer is the second option: y = -4x and y = -4x-5 are parallel lines.

A linear equation o line can be expressed in the form y = mx + b

where

Parallel lines are two lines that are always at the same distance from each other. Parallel lines prolonged towards infinity never touch.

Two lines are parallel if they have the same slope or value of m and different y-intercepts or value of b.

In this case, you know:

You can see that the value of the slope is the same, while the value of the y-intercept or b is different.

In conclusion, considering the definition of parallel lines, the correct answer is the second option: y = -4x and y = -4x-5 are parallel lines.

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