Complete parts (a) and (b) using the probability distribution below.

The number of overtime hours worked in one week per employee

Overtime hours
0 1 2 3 4 5 6

Probability
0.026 0.072 0.154 0.303 0.215 0.164 0.066

(a) Find the mean, variance, and standard deviation of the probability distribution.

Find the mean of the probability distribution.

μ = 3.4

σ2 = 2.0

σ = 1.4
Choose the correct answer below.

A.
An employee works an average of 2.0 overtime hours per week with a standard deviation of approximately 1.4 hours.

B.
An employee works an average 3.4 of overtime hours per week with a standard deviation of approximately 4 hours.

C.
An employee works an average of 1.4 overtime hours per week with a standard deviation of approximately 3.4 hours.

D.
An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.

Answers

Answer 1
μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066) 
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4

We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323

Variance = ∑X² - μ²
Variance  = 13.323 - (3.4)² = 1.763 ≈ 2

Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4

The correct answer related to the value of mean and standard deviation is the option D

An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.
Answer 2
Final answer:

The mean number of overtime hours worked is 3.4 with a standard deviation of approximately 1.4 hours, which corresponds to option D.

Explanation:

The correct answer for the given probability distribution of overtime hours worked per employee in one week is D. An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.

To find the mean (μ) of the probability distribution, we multiply each possible value by its corresponding probability and then sum all these products. The mean of this distribution is given as 3.4, which is found by summing up the product of each value of overtime hours and its corresponding probability:

μ = (0 * 0.026) + (1 * 0.072) + (2 * 0.154) + (3 * 0.303) + (4 * 0.215) + (5 * 0.164) + (6 * 0.066) = 3.4

The variance (σ2) is calculated by taking each value's deviation from the mean, squaring it, multiplying by the probability, and summing all these values. The variance for this distribution is given as 2.0:

σ2 = Σ [(x - μ)2 * P(x)] = 2.0

And the standard deviation (σ) is simply the square root of the variance:

σ = √σ2 = 1.4


Related Questions

If point A lies on the line of reflection, where does the reflected image, point A', lie?

Answers

On the opposite side of Point A

-7=7d-8

help me with the equation for that problem

Answers

Hello there! Thanks for asking your question here at Brainly. I will be assisting you in answering your question here today.

Let's take a look at our problem:
-7 = 7d - 8

To solve for this, we need to isolate the variable and then simplify if needed.
To clarify, the variable is (usually) a letter that represents a constant value. Our variable is "d".

-7 = 7d - 8
Isolate 7d by adding 8 to both sides.
-7 + 8 = 1

We're now left with:
1 = 7d

To solve for d, divide both sides by 7.
1 / 7 = 1/7
7d / 7 = d

We are now left with the solution:
d = 1/7

I hope this helps!

Which of the following types of data are likely to be normally distributed? Check all that apply.

A. The time it takes for an airliner to fly from Los Angeles to New York
B. The distance of an archer's shots from the center of a target
C. The driving distances of American commuters
D. The outcomes of flipping a coin fifty times
E. The amount of popcorn that pops per bag

Answers

Answers-A&B
The answer is A. the time it takes for airliner to fly from los Angeles to new York city and B. the distance of an archer's shot from the center of a target. Apex

The answer is A. the time it takes for an airliner to fly from Los Angeles to New York city and B. the distance of an archer's shot from the centre of a target.

What is a normal distribution?

A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.

A & B should each have a range of values that cover most occurrences with outlying values that decrease in number as they move further away from the dominant value range, which is the definition of a normal distribution.

Therefore, The answer is A the time it takes for an airliner to fly from Los Angeles to New York City and B the distance of an archer's shot from the centre of a target.

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What is the next number in the series? 83 79 75 71 67

Answers

This is an arithmetic sequence with a common difference of -4, meaning that each term is four less than the previous term.  So the next term in that sequence (technically the term "series" should be reserve for infinite sequences) will be 67-4=63.

83-79 =4

79-75 = 4

 the numbers are decreasing by 4

 so the next number would be 67-4 = 63

Question part points submissions used give two sets of five numbers that have the same mean but different standard deviations. set 1: 2, 3, 7, 11, 12 set 2: 5, 6, 7, 8, 9 set 1: 2, 4, 6, 8, 10 set 2: 3, 4, 5, 7, 11 set 1: 4, 5, 7, 8, 11 set 2: 3, 6, 7, 9, 10 set 1: 3, 4, 6, 9, 13 set 2: 2, 5, 7, 8, 13 set 1: 4, 6, 7, 8, 15 set 2: 3, 6, 7, 10, 14 give two sets of five numbers that have the same standard deviation but different means.

Answers

12,12,14,56,66,55,77,,43,,33,3455,I think it will be diffierent.

eliminate the parameter. x = 5 cos t, y = 5 sin t help please!

Answers

[tex]\bf \begin{cases} x=5cos(t)\implies \cfrac{x}{5}=cos(t)\\\\ y=5sin(t)\implies \cfrac{y}{5}=sin(t) \end{cases} \\\\\\ \textit{now, recall that }sin^2(\theta)+cos^2(\theta)=1\qquad thus \\\\\\ \left( \cfrac{x}{5} \right)^2+\left( \cfrac{y}{5} \right)^2=1\implies \cfrac{x^2}{5^2}+\cfrac{y^2}{5^2}=1\implies \cfrac{x^2+y^2}{25}=1 \\\\\\ x^2+y^2=25\implies x^2+y^2=5^2\impliedby \textit{which is just a circle}[/tex]

Final answer:

To eliminate the parameter 't' from the equations x = 5 cos t and y = 5 sin t, use the Pythagorean identity which leads to the non-parametric equation of a circle: x^2 + y^2 = 25.

Explanation:

To eliminate the parameter 't' from the parametric equations x = 5 cos t, y = 5 sin t, we can use the Pythagorean identity sin^2(t) + cos^2(t) = 1. Plugging in the given expressions for x and y:

(x/5) = cos(t)

(y/5) = sin(t)

We can square both sides of these equations and then add them together:

(x/5)^2 + (y/5)^2 = cos^2(t) + sin^2(t)

As cos^2(t) + sin^2(t) equals 1, the equation simplifies to:

(x/5)^2 + (y/5)^2 = 1

Thus, the eliminated parameter equation representing the same curve without the parameter 't' is:

x^2 + y^2 = 25

This is the equation of a circle with a radius of 5, centered at the origin.

"let v = r 2 with the usual addition and scalar multiplication defined by k(u1, u2) = (ku1, 0). determine which of the five axioms of vector spaces involving scalar multiplication v satisfies and which fail. for the ones it satisfies, prove that it satisfies the axiom. for those that fail, show that it fails with a counterexample."

Answers

Let [tex]\mathbf u\in\mathbb R^2[/tex], where

[tex]\mathbf u=(u_1,u_2)[/tex]

and let [tex]k\in\mathbb R[/tex] be any real constant.

Given this definition of scalar multiplication, we can see right away that there is no identity element [tex]e[/tex] such that

[tex]e\mathbf u=\mathbf u[/tex]

because

[tex]e\mathbf u=e(u_1,u_2)=(eu_1,0)\neq(u_1,u_2)=\mathbf u[/tex]

If f(x)=-4x^2+15,then f(-3)=??

Answers

The value of f(-3) for the given function f(x) = -4x² + 15 will be -21.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

f(x) = -4x² + 15

Put x = -3

f(-3) = -4(-3)² + 15

⇒ -4 x 9 + 15

⇒ -36 + 15 = -21

Hence "The value of f(-3) for the given function f(x) = -4x² + 15 will be -21".

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2.8 meters linen divided into 45 cm pieces = # of pieces and waste

Answers

2.8 meter= 2800cms

To solve this, we can create a simple algebraic equation:
45x=2800
Divide both sides by 45.
(45x)/45=(2800)/45
x=62.222

You can make 62 full pieces.

To find the waste, multiply the numbers of pieces by the length of each.
62*45
=2790
2800-2790
=10 centimeters

There would be 10 centimeters of wasted linen.

Hope this helps!
-Benjamin

What percent of 645 is 187.05?

Answers

Percent means per one hundred...

645(p/100)=187.05

645p/100=187.05

645p=18705

p=18705/645

p=29%

To find what percent 187.05 is of 645, one can use the following formula:

[tex]\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \][/tex]

In this case, the Part is 187.05 and the Whole is 645. Plugging these values into the formula gives:

[tex]\[ \text{Percentage} = \left( \frac{187.05}{645} \right) \times 100 \][/tex]

Now, calculate the fraction:

[tex]\[ \text{Percentage} = \left( \frac{187.05}{645} \right) \times 100 = \left( 0.29155 \right) \times 100 \][/tex]

[tex]\[ \text{Percentage} = 29.155 \][/tex]

Therefore, 187.05 is approximately 29.155% of 645. To express this as a fraction, one can write:

[tex]\[ \text{Percentage} = \frac{187.05}{645} \times 100 = \frac{18705}{645} \approx 29.155\% \][/tex]

To get the exact fraction, we can simplify:

[tex]\[ \text{Percentage} = \frac{187.05}{645} \times 100 = \frac{18705}{645} \times \frac{20}{20} = \frac{374100}{12900} \][/tex]

Simplifying the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 300, we get:

[tex]\[ \text{Percentage} = \frac{374100 \div 300}{12900 \div 300} = \frac{1247}{430} \][/tex]

So, the exact fraction representing the percentage is:

[tex]\[ \text{Percentage} = \frac{1247}{430} \times 100 \][/tex]

[tex]\[ \text{Percentage} = \frac{1247}{4.3} \][/tex]

[tex]\[ \text{Percentage} = 29.00 \% \][/tex]

Thus, 187.05 is exactly 29% of 645.

$765.13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent.

Answers

The final amount is = $ 959.779

What is compound interest?

Compound interest is when you earn a hobby on both the cash we've got stored and the hobby we earn.

calculation:-

principal amount = $765.13

rate if interest = 12%

for 1st year:-

interest amount= $765.13*12/100

                            = $ 91.8156

final amount = $765.13 + $ 91.8156

                     = $ 856.9456

for 2nd year:-

principal amount = $ 856.9456

       12% interest on $ 856.9456 = $ 102.833472

final amount = $ 856.9456+$ 102.833472

                      = $ 959.779 answer

                   

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Jane is one of 50 students to take a standardized math test that includes 100 multiple choice questions. If she has the highest score of any student with a raw score of 87, what is her percentile score?

Answers

Answer: 87%
Solution:
87 correct questions over 100 = 87/100 = .87 = (change to percent by moving the decimal 2 places to the right) 87%

Jack was 11 years older than Pricilla. Together their ages totaled 151 years.what are their ages?

Answers

151 - 11 = 140
140 ÷ 2 = 70

70 + 11 = 81

Jack is 81 years old.
Pricilla is 70 years old.

What is the simplified form of the expression? (2 – 9c)(–8)

Answers

I am pretty sure this is what you are looking for:
You have to use the distributive property i am pretty sure
Distribute -8 to both 2 and -9c
-16+72c
hope this helps:)
please mark thanks and brainliest:)
Just distribute the -8 across the 2 and -9c.

(2 - 9c)(-8) = -16 + 72c

So, -16 + 72c is the answer.

find cosx if tanx cscx=2

A)2
B)square root 2
C)square root 2/2
D)1/2

Answers

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
↓↓↓↓↓↓↓

The value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2

What is Trigonometry?

From the question, we are to determine the value of cosx

From the given information,

tanx cscx=2

Recall that,

[tex]tan(x )= \frac{sin (x)}{cos(x)}[/tex]

and

[tex]csc(x) = \frac{1}{sin(x)}[/tex]

Then,

Substitute these values into the given equation

tanx cscx = 2 becomes

[tex]\frac{sin (x)}{cos(x)} \times \frac{1}{sin(x)} = 2[/tex]

[tex]\frac{1}{cos(x)} = 2[/tex]

∴ [tex]cos(x) = \frac{1}{2}[/tex]

Hence, the value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2

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Round 1.136 to the nearest hundredth

Answers

It would be 1.140, because the 6 is closer to 140

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other?

60t – 55t = 0
60t + 55t = 1
60t + 55t = 150
60t – 55t = 150

Answers

Answer: 60t + 55t = 150

The equation that can be used to determine t, the time it takes for the two cars to pass each other is:

60t + 55t = 150

Option C is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The equation that can be used to determine t, the time it takes for the two cars to pass each other is:

60t + 55t = 150

Here,

60t represents the distance covered by the first car in time t, and 55t represents the distance covered by the second car in time t.

When they meet, the sum of their distances would be equal to the total distance between them, which is 150 miles.

Therefore,

We can add their distances and set them equal to 150 miles to solve for t.

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The amount of​ carbon-14 present in animal bones t years after the​ animal's death is given by ​P(t)= -0.00012097t. How old is an ivory tusk that has lost 34​% of its​ carbon-14?

Answers

I believe the equation you gave is wrong because the standard form of equation for C-14 decay is in the form of:

A = Ao e^-kt

So I think the right form of equation is (correct me if I’m wrong):

 P(t) = Po e^(-0.00012097t)

Where,

Po = initial value of C-14 at t = 0

t = time elapsed

Since it is given that:

P = (1 – 0.34) Po

P = 0.66 Po

Therefore, t is:

0.66 Po = Po e^(-0.00012097 t)

0.66 = e^(-0.00012097 t)

taking ln of both side:

ln 0. 66 = -0.00012097 t

t = - ln 0. 66 / 0.00012097

t = 3,434.86 years

 

Therefore the ivory tusk is about 3,435 years old.

In a set of integers between 18 and 95, inclusive, how many are divisible by 6 but not 12?

Answers

7 integers are divisible by 6 but not 12. 

Inez waters her plants every two days. She trims them every 15 days. She did both today. When will she do them both again?

Answers

The answer is 30 days.

The solution for this is to find the least common multiple. By getting the multiple of both numbers.

Multiples of 2:  2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40…..

Multiples of 15: 15,30,45,60,75……..

The Least Common Multiples of 2 and 15 is 30. So, Inez will do them both again in 30 days.

The least common multiple (LCM) of two numbers is the smallest number that is multiple by the both number.

EASY 5 POINTS!! Which expression gives the correct volume of the figure?

Answers

Answer : The correct option is, [(10 × 4 × 5) + (5 × 5 × 5)] cubic inches.

Step-by-step explanation :

As we know that,

Formula used for volume of cube is:

[tex]V=(a)^3[/tex]

or,

[tex]V=a\times a\times a[/tex]

where,

V = volume of cube

a = side of cube

Formula used for volume of cuboid is:

[tex]V=l\times b\times h[/tex]

where,

V = volume of cuboid

l = length of cuboid

b = breadth of cuboid

h = height of cuboid

The given figure is formed by the combination of two figure that is cube and cuboid.

Volume of cube = [tex](a)^3[/tex]

Given :

a = side of cube = 5 inch

Volume of cube = [tex]5\times 5\times 5[/tex] cubic inches

and,

Volume of cuboid = [tex]l\times b\times h[/tex]

Given :

l = length of cuboid = 10 inch

b = breadth of cuboid =5 inch

h = height of cuboid = 4 inch

Volume of cuboid = [tex]10\times 5\times 4[/tex] cubic inches

Total volume of figure = Volume of cuboid + Volume of cube

[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches

Thus, the correct volume of the figure will be,

[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches

What is the greatest number of triangular sections, each with a base of 5 inches and a height of 8 inches, that can be cut from a rectangular piece of paper measuring 30 inches by 40 inches?

Answers

12 triangular sectionsyou only need the base for this question- in an area of paper you can see that there is a square -you can make 2 triangles out of this square. Use 30 divided by 5 and get 6. Multiply that by 2 triangles from the area we just talked about and get 12 triangles.

a cell phone company offers two different monthly plans.plan a charges $41 for unlimited cell phone minutes plus $0.10 per text message.Plan b charges $31 for unlimited cell phone minutes plus $0.15 per text message.How many text messages must a customer send in order for the cost of plan a to be equal to cost of plan b

Answers

41+0.10x = 31+0.15x

10 +0.10x=0.15x

10=0.05x

x=10/.05

x= 200 text messages


check 200*0.10 = 20 +41 =61

200*0.15 = 30+31 = 61

 they equal each other so number of texts is 200

A customer must send 200 text messages for the cost of Plan A ($41 plus $0.10 per text) to be equal to the cost of Plan B ($31 plus $0.15 per text).

To find out how many text messages a customer must send for the cost of Plan A to be equal to the cost of Plan B, we can set up an equation based on the cost structures given. Let x be the number of text messages sent.

Cost of Plan A: $41 + $0.10x
Cost of Plan B: $31 + $0.15x

To find the point where both plans cost the same, we set the costs equal to each other:
41 + 0.10x = 31 + 0.15x

Solving the equation:
0.05x = 10
x = 10 / 0.05
x = 200

The customer must send 200 text messages for the costs of Plan A and Plan B to be equal.

A psychologist claims that less than 5.8 percent of the population suffers from professional problems due to extreme shyness. Express the null hypothesis and the alternative hypothesis in symbolic form. Use p, the true percentage of the population that suffers from extreme shyness. Select one: a. H0: p = 5.8% H1: p < 5.8% b. H0: p > 5.8% H1: p ≤ 5.8% c. H0: p < 5.8% H1: p ≥ 5.8% d. H0: p = 5.8% H1: p > 5.8%

Answers

In statistics, you may test a hypothesis using different statistical techniques like ANOVA or the F-test. You should have the null hypothesis, denoted as H0 and the alternative hypothesis, denoted as H1. Null hypothesis is the hypothesis you would like to test on. This is called as such because this is the hypothesis statisticians would like to test to nullify. This would be p < 5.8%. On the other hand, the alternative hypothesis is the contrary of the null hypothesis. Hence, the alternative hypothesis is p ≥ 5.8%. The answer is C.

Answer:

Step-by-step explanation:

what is e/4 + 2f-3 when e =12 andf =1/2

Answers

Hey!

When putting in a number for a variable, we want to put it on parenthesis. So, let's write the problem with the variables substituted.
[tex](12)/4+2(1/2)-3[/tex]
We could also write it like this:
[tex]\frac{\left(12\right)}{4}+2\left(\frac{1}{2}\right)-3=1[/tex]
To start, we have to remove the parenthesis.
[tex]=\frac{12}{4}+2\cdot \frac{1}{2}-3[/tex]
Let's simplify the first fraction.
[tex]\frac{12}{4}=3[/tex]
Let's simplify the second part:
[tex]2\cdot \frac{1}{2}[/tex]
[tex]=\frac{1\cdot \:2}{2}[/tex]
[tex]=\frac{2}{2}[/tex]
[tex]=1[/tex]

We would be left with,
[tex]=3+1-3[/tex]
Simplify.
[tex]=1[/tex]

Thanks!
-TetraFish
Hello there! Thank you for asking your question here at Brainly. I will be assisting you with this problem and will teach you how to handle it on your own in the future.

Let's take a look at our question.
"What is e/4 + 2f -3 when e = 12 and f = 1/2?"

To solve for this, we need to plug in our values to their proper values.

Let's replace "e" with "12" and "f" with "0.5" (0.5 is equal to 1/2).

Our expression should look like this now:
12/4 + 2(0.5) -3

Well, we can simplify two parts of our expression: 12/4 and 2(0.5).

We can simplify 12/4 into 3, as 12 divided by 4 is 3.
We can also simplify 2(0.5) into 1, as multiplying by 0.5 is the same as dividing by 2.

We now have:
3 + 1 - 3
We can cancel out 3 and -3 to make 0.
We are now left with 1.

Your answer remains as "1".

I hope this helps! :)

(6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Use an iterated integral to compute the volume of the ellipsoid x^2/a^2 + y^2/b^2 + z^2/c^2 = 1. The a, b, and c are positive constants.

Answers

Let [tex]R[/tex] be the ellipsoid with equation

[tex]\left(\dfrac xa\right)^2+\left(\dfrac yb\right)^2+\left(\dfrac zc\right)^2=1[/tex]

so that the volume of [tex]R[/tex] is given by the triple integral

[tex]\displaystyle\iiint_R\mathrm dV[/tex]

Consider the augmented spherical coordinates given by the identities

[tex]\begin{cases}x=ar\cos u\sin v\\y=br\sin u\sin v\\z=cr\cos v\end{cases}[/tex]

Computing the Jacobian, we find that the volume element is given by

[tex]\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=abcr^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv[/tex]

so that the volume integral can be written as

[tex]\displaystyle\iiint_R\mathrm dV=abc\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=1}r^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv=\frac{4abc\pi}3[/tex]

the following data values represents a population. What is the variance of the values? 6, 10, 14, 2

Answers

first we find the mean (average)
(6 + 10 + 14 + 2) / 4 = 32/4 = 8

now subtract the mean value from every data value....and square it.
6 - 8 = -2....-2^2 = 4
10 - 8 = 2....2^2 = 4
14 - 8 = 6...6^2 = 36
2 - 8 = -6...-6^2 = 36

now find the mean of those numbers
(4 + 4 + 36 + 36) / 4 = 80/4 = 20 <== ur variance

Answer:20 !

Step-by-step explanation:

Which question is not a good survey question?

a) Don’t you agree that the financial crisis is essentially over?


b) On average, how many hours do you sleep per day?


c) What is your opinion of educational funding this year?


d) Are you happy with the availability of electronic products in your state?

Answers

C, as it asks opinion, and not a specific question, so there may be a versed answer.

Answer:

See image

Step-by-step explanation:

Plato

An isosceles triangle has a base with length 15 inches and two congruent sides with lengths of 15 inches each. Find the height of the triangle. (Round your answer to the nearest tenth of an inch.)

Answers

An isosceles triangle is a special triangle having at least 2 equal sides equal. But in this case, since all sides are equal having a length of 15 inches, this is actually an equilateral triangle. 

When you create a perpendicular bisector from the top vertex to the midpoint of the base, you get a right triangle with the hypotenuse equal to 15 inches, a base equal to half of 15 because it was bisected, and the height. Therefore, we use the pythagorean theorem. The solution would be

h = √(15)^2 +(15/2)^
h = 13.0 meters

Final answer:

By using the Pythagorean theorem on one of the right triangles formed by dividing the isosceles triangle, we find the height to be approximately 13.0 inches when rounded to the nearest tenth.

Explanation:

To find the height of an isosceles triangle with a base of 15 inches and congruent sides each 15 inches, we can use the Pythagorean theorem or note that the triangle can be split into two right triangles by a height dropping from the vertex opposite the base to the midpoint of the base.

The midpoint will divide the 15-inch base into two segments, each 7.5 inches. The height of the isosceles triangle is the same as the height of the right triangle.

Using the Pythagorean theorem (a² + b² = c²), we can find the height (h) knowing that the hypotenuse (c) is one of the congruent sides (15 inches) and one leg (a, half of the base) is 7.5 inches:

h² + (7.5 inches)² = (15 inches)²

h² + 56.25 inches sup>2 = 225 inches²

h² = 225 inches² - 56.25 inches²

h² = 168.75 inches²

h = sqrt{168.75 inches²}

h approx 12.99 inches, which rounds to 13.0 inches to the nearest tenth.

Therefore, the height of the isosceles triangle rounds to 13.0 inches.

6/5 × 25/24 multiple

Answers

6/5 × 25/24
= 5/4

hope it helps
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