The water company installed a 40 yard diagonal brace on a water tower between two vertical beams that are 12 yards apart as shown. Determine the height of each vertical beam.

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is n = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55[/tex]

Construct a 95% confidence interval estimate for the population mean force as follows:

[tex]CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}[/tex]

    [tex]=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)[/tex]

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

Answer:

NO SOLUTION

Step-by-step explanation:

solve for  y in :  y-5=3x which is then y=3x+5

then substitute y=3x+5 into -2y+6x=4 which is then -10=4

and then lastly since -10=4, it is not true, this is an inconsistency system,

SO NO SOLUTION

Answer: the answer is (2,5)

Step-by-step explanation:

Answer:

1. 2/21

2. 7/45

3. 9/26

4. 4/61

5. 3/29

6. 8/61

Step-by-step explanation:

I'll just explain number one, since you can do the same thing to solve all the others.

You start with 10 1/2. You can make this an improper fraction by multiplying 10 and 2, then adding one. This leaves you with 21/2. The reciprocal of a fraction is just the numerator and denominator of the fraction flipped. So, you  get 2/21.

Hope this helps!

Answer:137

Im not completely sure though!

Step-by-step explanation:

Answer:

its 137 im 100% sure of it

Step-by-step explanation:

Answer:

a) 9.56%

b) 0.0019

Step-by-step explanation:

a) Find the z-scores.

z = (x − μ) / σ

z₁ = (-0.0050) / 0.0030

z₁ = -1.67

z₂ = (0.0050) / 0.0030

z₂ = 1.67

Find the probability using a chart or calculator.

P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)

P(Z < -1.67 or Z > 1.67) = 2 (0.0478)

P(Z < -1.67 or Z > 1.67) = 0.0956

b) Use a chart or calculator to find the z-score.

P(Z < -z or Z > z) = 0.01

P(Z < -z) = 0.005

z = 2.576

Find the standard deviation.

z = (x − μ) / σ

2.576 = (0.0050) / σ

σ = 0.0019

Answer:

Ben has 225

Step-by-step explanation:

100 ÷ 4 = 25

25 × 9 = 225

Answer:

So what do you need help in plz

Answer:

100 pounds

Step-by-step explanation:

2/5 ton equals 800 pounds

800 divided by 8 equals 100 pounds

Answer:

Warning! The person above me is WRONG.

D is INCORRECT.

The correct answer is C.

Explanatory variable: player weight

Response variable: player 40-yard-dash time

The explanatory variable is the player's weight

The response variable is the player's 40-yard dash.

Option C is the correct answer.

An explanatory Variable is a causal variable, which affects the other variable.

The response Variable is the resultant variable, which is affected by the other variable.

We have,

Football coaches running their summer practices noticed that the players who weighed more typically had slower times for their 40-yard dash.

We need to find what causes the player to have slower times.

The weight of the players causes the players to have slower times.

So,

Player weight is the explanatory variable and the response variable is the time for their 40-yard dash.

Thus,

The explanatory variable is the player's weight

The response variable is the player's 40-yard dash.

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Complete question is;

Select all polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8.

A. 16x^(10)

B. 6x^(5) + 4x⁴ – 7x³ + 5x² + 8x

C. 6x⁴ + 4x³ - 7x² + 5x + 8

D. 8 + 5x + 7x² - 4x³ + 6x⁴

E. 8 + 5x – 7x² + 4x³ + 6x⁴

Answer:

Options C & E

C. 6x⁴ + 4x³ - 7x² + 5x + 8

E. 8 + 5x – 7x² + 4x³ + 6x⁴

Step-by-step explanation:

To find the polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8 simply means that both polynomials must have identical signs, identical number of terms and identical terms.

Now, by inspection of tall the options, we can see that options C & E are equivalent to the initially given polynomial.

For option C: 6x⁴ + 4x³ - 7x² + 5x + 8

This expression is the exact same thing as what was given in the question.

For option E: 8 + 5x – 7x² + 4x³ + 6x⁴

Rearranging this gives;

6x⁴ + 4x³ - 7x² + 5x + 8

Again this is exactly the same expression given to us in the question.

Answer:

The answer is b on edg and the possible solution is 1/2.

Step-by-step explanation:

BAnswer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:2000/12.23

Answer:

5

Step-by-step explanation:

y

y=ax

where a is a constant of proportionality;

y=20, x=4

20=4a

a=20/4

a=5

y=5x

The constant of variation is 5

The constant of variation for the given relationship is 5.

Direct variations are defined as the functions of the form y = kx, where k is a constant.

Here when y increases, x increases and if y decreases, x also decreases.

Given that,

y varies directly as x

So the equation will be of the form,

y = kx

Here k is the constant of variation.

Given, y is 20 when x is 4.

So, 20 = 4k

k = 20 / 4 = 5

Hence the constant of variation for the given relationship is 5.

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Answer:

Yes

Step-by-step explanation:

Both equations equal 18.6. Just plug in 2.4 for a to check

Answer: 20% of 95

Step-by-step explanation: 20% of 95 is 19 and 90% of 20 is 18. So 19>18.

Hi! I believe your answer is ---20% of 95--- because 90% of 20 is 18, but 20% of 95 is 19, so that is larger. I hope this helps you! Good luck and have a great day. :)

Answer:

52.8

Step-by-step explanation:

If you were to look this up 50 liters = 52.8344

The question asks you to round to the nearest tenth so 52.8344 is now shown as 52.83 when you round that you can see that 52.83 rounded to the nearest tenth is 52.8 and that's your answer.

PLEASE MARK AS THE BRAINLIEST PLEASE

Answer:

Its a funcion if "x" doesnt repeat

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

80 is at the top and 40 takes half of the bottom so the other half is 40.

15/120 = 0.125 so...

40x0.125 will be your answer.

You get 5.

Answer:

True

Step-by-step explanation:

I had the same question on my test :)

 (Reason why it's true)

Similar triangles can have the S.A.S (Side, angle, side). They can even.  

Answer:

True!

Step-by-step explanation:

Step-by-step explanation:

5^2+11^2=13^2 is the answer. However, once you add the 25 and 121 together(the squares of 5 and 11), which is 146, you then need to square root the 146 to get C.

Answer:

Step-by-step explanation:

use the Pythagorean

a² + b² = c²

11² + 5² = 13²

Answer:

A.

[tex]\sqrt{500}[/tex]

Step-by-step explanation:

when a value is outside of the root, then you can square it and put it back in. After you put it back in, you need to multiply it by the number that is remaining

In this case, you would square 10 which equals 100, and put it back into the root and multiply 100 by 5.

100x5=500

Therefore, the answer is A, root 500

Answer:

[tex]\frac{6r}{s}[/tex]

Step-by-step explanation:

Answer:

0.0329 ≅ 0.03 to two decimal places

Step-by-step explanation:

The owner of a small deli is trying to decide whether to continue or discontinue selling magazines.

His suspicion that only 10.7% of his customers by a magazine (daily) is correct.

What is the probability that exactly 4 out of the first 13 customers (on this day) buy a magazine?

The probability is:

10.7% × 4/13  = 10.7/100 × 4/13  = 0.107 × 0.308  = 0.0329 ≅ 0.03 to two decimal places

The hot air balloon will descend 20.25 feet per second.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a hot air balloon is descending at a rate of 6.75 feet per second. The height of the balloon after 3 seconds will be:-

Rate of change = Height / Time

6.75 = Height / 3

Height = 6.75 x 3 = 20.25 feet

Therefore, the hot air balloon will descend 20.25 feet per second.

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Answer:

m=-52

Step-by-step explanation:

1) multiply both sides by 4

m=-13×4=-52

Answer:

m = 2

Step-by-step explanation:

To find the slope, simply use this equation:

m = y2 - y1 / x2 - x1

Now we need to insert some points:

m = 10 - 0 / 11 - 6

m = 10/5

m = 2

Therefore, the slope of the line is 2.

Answer:

thank you!!!!!!!

Step-by-step explanation:

The course triangle can be used to determine the transition of course stages from one to the other with labels as in the image. The angle <ABC and <BCA depends on the type of triangle we draw. Here it is 60° each.

The three main elements of the course design triangle are objectives, assessments, and instruction. All three course components must be closely correlated with one another and take into account the course setting to produce a cogent learning experience.

The Olympic triangle is a sailing course that is frequently used in racing dinghies, especially at important regattas like State, National, and World Titles, and it was also used during the Olympics. 

When looking up the course towards the top mark, the start line is frequently tilted 5 to 10 degrees to the port end, or the left end, as opposed to how the start line would be if it were parallel to the wind.

To windward of the top mark, with a finishing mark and the committee boat serving as either end of the line, is the most adaptable location to establish the finishing line.

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