A concrete beam may fail either by shear (S) or flexure (F). Suppose that three failed beams are randomly selected and the type of failure is determined for each one. Let X = the number of beams among the three selected that failed by shear. List each outcome in the sample space along with the associated value of X.
S: FFF SFF FSF FFS FSS SFS SSF SSS X:

Answer:

2

Step-by-step explanation:

answer is in photo above

Answer:

by simply multiplying these 2 dimensions.

9.1 ft²

Step-by-step explanation:

2 4/5 × 3 1/4 = (14/5) × (13/4) = (14×13) / (5×4) =

= (7×13) / (5×2) = 91/10 = 9.1 ft²

Given:

Principal value = $1500

Rate of interest = 7% per annum compounded daily

Time = 2 years.

To find:

The amount after 2 years.

Solution:

Formula for amount:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.

We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.

Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get

[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]

[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]

[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]

Using calculator, we get

[tex]A\approx 1725.39[/tex]

The amount after two years is $1,725.39. Therefore, the correct option is (c).

 Solve  :    3x-2 = 0  

Add  2  to both sides of the equation :  

                     3x = 2

Divide both sides of the equation by 3:

                    x = 2/3 = 0.667

Two solutions were found :

x = 2/3 = 0.667

x = 0

hope this helped

Answer:

[tex]x=\frac{2}{3}[/tex]

x = 0

Step-by-step explanation:

Method 1: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

3x² - 2x = 0

a = 3

b = - 2

c = 0

[tex]x=\frac{-(-2)±\sqrt{(-2)^{2}-4((3)(0)) } }{2(3)}[/tex]

[tex]x=\frac{-(-2)±\sqrt{4-4((3)(0)) } }{2(3)}[/tex]

[tex]x=\frac{-(-2)±\sqrt{4+0 } }{2(3)}[/tex]

[tex]x=\frac{2±\sqrt{4 } }{2(3)}[/tex]

[tex]x=\frac{2±2 }{2(3)}[/tex]

[tex]x=\frac{2±2 }{6}[/tex]

Two separate equations

[tex]x=\frac{2+2 }{6}[/tex]

[tex]x=\frac{2-2 }{6}[/tex]

[tex]x=\frac{4 }{6}[/tex]

[tex]x=\frac{2}{3}[/tex]

[tex]x=\frac{0 }{6}[/tex]

x = 0

Method 2: Factoring

3x² - 2x = 0

(3x - 2) · x = 0

Two separate equations

3x - 2 = 0

3x - 2 + 2 = 0 + 2

3x = 2

3x ÷ 3 = 2 ÷ 3

[tex]x=\frac{2}{3}[/tex]

x = 0

Answer:

Step-by-step explanation:

The ways that they are the same are.

Answer:

m= -4

Step-by-step explanation:

Answer:

I would like to say A because Diagonals of a rectangle Bisect each other at a right angle.

This seems likely

Please Mark as Brainliest

Hope this Helps

Answer:

I think C would be the best answer.

Step-by-step explanation:

Sorry if it was not right ):

Answer:

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

g(x) = x^2 – 2x + 11

Let x=-2

g(-2) = (-2)^2 – 2(-2) + 11

Powers first

         =4 -2(-2) +11

Then multiply

        = 4 +4 +11

Now add

     = 19

Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Hope this helps!!!

Answer:

38,78461

Step-by-step explanation:

The triangle is composed by two right triangles. the sum of inner angles of a triangle is 180 degrees. If we look at the right one we can say that it’s top angle is 60 degrees. In fact 30 + 60 + 90 = 180

So also the top angle of the biggest triangle is right:

60 + 30 = 90

We can also say that the leg of that triangle on left that lies on the hypotenuse is half of its hypotenuse thanks to the its angles.

Thanks to these informations we can use a theorem, called first Euclid’s theorem that allow us to build a proportion:

6 : 12 = 12 : hypotenuse

6 * hypotenuse = 144

hypotenuse = 24

x = 24 - 6 = 18

For the same theorem:

18 : y = y : 24

y^2 = 432

y = 20,78461

18 + 20,78461 = 38,78461

Answer:

3 [tex]\frac{2}{3}[/tex] inches long

Step-by-step explanation:

Find how long the paper will be by dividing 11 by 3. This will find how much 1/3 of the 11 inch paper is.

11/3

= 3 [tex]\frac{2}{3}[/tex]

So, if she cuts the paper, the paper will be 3 [tex]\frac{2}{3}[/tex] inches long

the add of the 56+45/98+5000+12538+567

Answer:

-3 on 4

Step-by-step explanation:

slop is given by change in y coordinate over change in x coordinate

Answer:

15+15+15=45

Step-by-step explanation:

8+8+8=24

4+4+4=12

4+15*8=

124

Answer:

Answers is hear that.

4+15+8=27

Answer:

74.8 ft÷3.4 inches=264

2.1 in x 264=46.2 inches so the width should be 46.2 inches

Answer:

2

Step-by-step explanation:

Answer:

F= 60.256

D = 29.744

Step-by-step explanation:

This is a completely different from the way usually I do it

B = arcsin(b·sin(A)a)

= 1.05166 rad = 60.256°

180-60.256-90 = 29.744°

Answer:

Radius: 3units

center: (1,-4)

Answer:

C

Step-by-step explanation:

Answer:

something like: 14 - (-15)

Step-by-step explanation:

Answer: Choice C) no solution

=============================================================

Explanation:

The first equation says that y and 3x-4 are the same thing.

So we can replace every copy of "y" in the second equation with "3x-4" like so

9x - 3y = 14

9x - 3(3x-4) = 14

9x - 9x + 12 = 14

0x + 12 = 14

0 + 12 = 14

12 = 14

The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.

In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).

If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.

Answer:

there is no solution to this problem

Step-by-step explanation:

I hope this helps

Answer:

Y=51.34019175

Step-by-step explanation:

We first use Pythagoras theorem to find the hypo...

[tex] \sqrt{ {8 }^{2} + {10}^{2} } = 12.8062487[/tex]

After we use sine rule

12.8062487/sin90 = 10/siny

Sin y=10sin90/12.8062487

Y=51.34019175

Complete question is;

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?

Answer:

P(X > 42) = 0.1271

Step-by-step explanation:

We are given;

mean; μ = 50

Standard deviation; σ = 7

Formula for the z-score is;

z = (x - μ)/σ

Thus;

z = (42 - 50)/7

z = -1.14

Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.

We have;

P(X > 42) = 0.1271

Answer:

The correct answer is - about 60%

Step-by-step explanation:

Given:

predicted value: 8 inches

measured value - 20 inches

formula:

Prediction percentage error is the error or differences between the prediction made and the observed or actual value. Calculation of the percentage error by the following equation.

prediction percentage error = (measured value - predicted value)*100/measured value

solution:

putting value in the formula

= (20-8)*100/20

= 12*5

= 60 %

Answer:

[tex]5\frac{5}{6}[/tex] bows

5 whole bows

Step-by-step explanation:

[tex]\frac{0.6}{3.5}: \frac{1}{y}[/tex]

y × 0.6 = 1 × 3.5

0.6y = 3.5

0.6y ÷ 0.6 = 3.5 ÷ 0.6

[tex]y = 5\frac{5}{6}[/tex]

Answer:

Jocelyn can make 5 bows.

Step-by-step explanation:

3.5/.6 = 5.8333333

This means that Jocelyn can make 5 full bows and have a remainder of .83333333 yards of ribbon.

Answer:

a. 0.4 = 40% probability that your bid will be accepted

b. 0.8 = 80% probability that your bid will be accepted.

c. $15,000.

d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

This means that [tex]a = 10, b = 15[/tex], considering the measures in thousands of dollars.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 12000(X < 12). So

[tex]P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4[/tex]

0.4 = 40% probability that your bid will be accepted.

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 14000(X < 14). So

[tex]P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8[/tex]

0.8 = 80% probability that your bid will be accepted.

c. What amount should you bid to maximize the probability that you get the property?

The upper bound of the uniform distribution, that is, $15,000.

d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Answer:

14

Step-by-step explanation:

So let's think smart.  If you look at the image I made a diagram.  The 3 squares I colored in represent 3/4.  It takes 14 3/4 strips to cover 10 1/2 inches.

The Number of 3/4 inch strips required to cover 10 1/2 inches of caulk will be 14

The total inches of caulk to be covered = 10 1/2 inches

The fraction of inch strip to be used = 3/4 inches

To obtain the number of 3/4 inch strop required ;

We divide the total inches of caulk by 3/4

Hence,

10 1/2 ÷ 3/4

21/2 ÷ 3/4

Change the sign to × and take the reciprocal of 3/4 ;

21/2 × 4/3

(21 × 4) / (2 × 3) = 84 / 6

84 / 6 = 14

Hence, the number of 3/4 inch strip required is 14

Learn more : https://brainly.com/question/2610134

Answer:

A) 48m + 12 and 3(2m + 4 + 14m)

B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.  

C) m = 2

6(m + 2 + 7m)

6[2 + 2 + 7(2)]

6(4 + 14)

6(18) 1

108

3(2m + 4 + 14m)

3[2(2) + 4 + 14(2)]

3(4 + 4 + 28)

3(8 + 28) 3

(36) 108

108 = 108  

Answer:

sorry bro

Step-by-step explanation:

i really need the points