How to Evaluate 5/9 x 8

Complete Question

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with[tex]\sigma^2=1000[/tex]. A random sample of 12 sample specimens has a mean compressive strength of [tex]\=x=3207psi[/tex]. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.

Answer:

[tex]CI=(3189.1,3224.9)[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=12[/tex]

Standard deviation [tex]\sigma^2=1000psi^2\\\sigma=\sqrt{1000} \\\sigma=31.6[/tex]

Sample mean [tex]\=x=3207[/tex]

Confidence level =95%

[tex]\alpha=100-95\\\alpha=0.05[/tex] significance level

From table \alpha 0.05

Gives

[tex]Z_c=1.96[/tex]  

Generally the equation for confidence interval is mathematically given by

[tex]CI=(\=x-\frac{z_c*\sigma}{\sqrt{n} } ),\=X+\frac{Z_C*\sigma}{\sqrt{12} })[/tex]

[tex]CI=(3207-\frac{1.96*31.6}{\sqrt{12} } ),3207+\frac{1.96*31.6}{\sqrt{12} })[/tex]

[tex]CI=(3189.1,3224.9)[/tex]

Answer:

The measure of ∠DFE is 67°.

Step-by-step explanation:

Angle GFE is a straight angle, meaning that its measure is 180°, per se.

180 - 113 = m of ∠DFE

180 - 113 = 67

Answer:

the volume of the sphere is 507.78981 cm^3

Step-by-step explanation:

The computation of the volume of the sphere is given below:

Given that

The Diameter is 9.9 cm

So, the volume of the sphere is

= 4 ÷ 3 ×π × r^3

= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3

= 4 ÷ 3 × 3.14 × 4.95^3

= 507.78981 cm^3

Here r denotes the radius

And, the radius would be comes by dividing the diameter from 2

Hence, the volume of the sphere is 507.78981 cm^3

Answer:

508.0

Step-by-step explanation:

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{9.9}{2}=4.95

radius=

2

diameter

​

=

2

9.9

​

=4.95

centimeters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (4.95)^3

3

4

​

π(4.95)

3

508.047368364254

508.047368364254

Use calculator

\approx 508.0\text{ cm}^3

≈508.0 cm

3

Answer: 31.8

Step-by-step explanation:

The probability that a randomly selected point within the circle falls

in the red shaded area is; 15.9%

The area of the circle is gotten from the formula;

A = πr²

A = π * 4²

A = 50.265 cm²

Area of triangle = ¹/₂ * bh

Here b = h = 4. Thus;

A = ¹/₂ * 4 * 4

A = 8 cm²

Thus;

P(randomly selected is shaded) = 8/50.265

P(randomly selected is shaded) = 0.159 = 15.9%

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Answer:

(1, 1)

Step-by-step explanation:

not 100% sure though, but hope it helps

9514 1404 393

Answer:

  30

Step-by-step explanation:

Let q represent the number of questions on the exam.

  27 = 0.90q . . . . . 90% of them is 27

  27/0.9 = q = 30 . . . . . divide by the coefficient of q

There are 30 questions on the exam.

Answer:

There are thirty questions on the test.

Step-by-step explanation:

You can discover this by doing 27 divided by . 90 which equals 30

Answer:

60, and m = 30, and 1 min 20.

Step-by-step explanation:

For A, the 60 is the starting point meaning that the temperature was intitally 60 degrees

For B, if we divided both sides by 2 we get the answer m = 30, meaning every minute, it was up 30 degrees.

For C, we know that in one minute it will be 90 degrees, so 60 seconds = 30 degrees. So lets divided both sides by 3 to get 10 degrees. We get 20 seconds. It will take 1 min and 20 for it to be 100 degrees.

Hopefully thats right.

The probability that Luca will win Wheel of Letters for this considered case is 6/13

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the sample space of result of wheel of letters spin is

S = {A, B, ..., Z} , thus, n(S) = size of S = 26

Let E = event that the spinner will stop in one of the letters in  “COUNTRY PHRASE”

Then, the outcomes in favor of E are {'P', 'O', 'C', 'A', 'T', 'R', 'Y', 'N', 'H', 'S', 'U', 'E'}

Thus, n(Favorable cases for E) = 12 (counted unique ones, and not repeated), as each letter is only 1 time in the spinner.

Thus, we get:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{12}{26} =\dfrac{6}{13}[/tex]

Thus, the probability that Luca will win Wheel of Letters for this considered case is 6/13

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Answer:

why no links? also I think the answer is 5 but I'm just guessing

Answer:

g sa Bshsixuzsh- shshshakka

Answer:

40units²

Step-by-step explanation:

find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.

do the formula for rectangle

A = bh

A = 8×2

A = 16

Now the formula for Trapezoid

A = 1/2h(b+b)

A = 1/2×4(4+8)

A = 1/2×4(12)

A = 1/2(48)

A = 24

16+24 = 40

Answer:

263,93802

Step-by-step explanation:

xd

Answer:

a) 3

b) 3

c) because of the permutations and combinations involved

Step-by-step explanation:

a) Determine the smallest number of cars needed

The number of cars are the same as conflict free cars

hence we can group the friends without conflict into the same car

1st car we will have : ACFI  in it

2nd car we will have : GD  in it

third care we will have : BEJH  in it

∴ number of car needed = 3

b) number of conflict free cars = 3

c) Coloring is important in the question because of the permutations and combinations involved

Answer:

y = 5x +6

Step-by-step explanation:

the slope of the given equation is 5. a slope of a line parallel has the same slope. so 5

y- -4 = 5(x - -2)

y+4 = 5x +10

y = 5x +6

Answer:

Step-by-step explanation:

The slope:

The y -intercept:

The equation off the line:

The slope:

The y -intercept:

The equation off the line:

As we see they get same slopes but different y-intercepts.

Correct choice is B

Answer:

B) They will have the same slopes but different y-intercepts.

Step-by-step explanation:

I got 100% :>

Answer:

106.43

Step-by-step explanation:

The difference in their account balances at the end of 3 years is $24.32

To solve the compound interest for Cody

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.04/1)(1)(3)

A = 5,000.00(1 + 0.04)(3)

A = $5,624.32

To solve for the simple interest for April

P * T * R/100

5000 * 4 * 3/100

= 60,000/100

= 600.

We add the S. I of April's investment

= 5,000 + 600

= $5600.

Therefore, the difference between their account balances is $5,624.32 - $5600 = $24.32

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Answer:

D

Step-by-step explanation:

area of shaded region=1/2×8×8=32 sq. units

area of larger triangle=1/2×14×16=112 sq units

reqd. probability=32/112=2/7

Answer:

C. $45

Step-by-step explanation:

If 2 pounds of coffee costs $17.95, we divide this number by two to get the cost of one pound of coffee.

This value is equal to $8.975 and we multiply this number by 5 to get 5 pounds of coffee.

This is about equal to option C. $45

Answer:

18 cm!

Step-by-step explanation:

Answer:

the ratio is 182

Step-by-step explanation:

sana po makatulong

Answer:

Answer:

The answer is the first option I hope it helps

Answer:

5

Step-by-step explanation:

Negative is always negative positive is always positive

Answer:

b 80

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A P EE X

8b+4-4b+2= 4b+6

collect the like terms and add

Answer:

then ask your teacher happy birthday to u happy birthday to u

. happy to 6

The probabilities that could complete the model and maintain a total sum of 1 are options B and E.

B: P(green) = 3/8, P(yellow) = 1/8

E: P(green) = 3/7, P(yellow) = 1/14

To determine the probabilities that could complete the model, we need to consider the sum of all probabilities. In a probability model, the sum of all probabilities should equal 1.

Given the probabilities P(red) = 2/7 and P(blue) = 3/14, let's calculate the sum:

P(red) + P(blue) = 2/7 + 3/14 = 4/14 + 3/14 = 7/14 = 1/2

Since the sum of P(red) and P(blue) is 1/2, we need to find the probabilities for P(green) and P(yellow) that, when added to 1/2, give a total sum of 1.

Looking at the answer key options:

A: P(green) = 2/7, P(yellow) = 2/7

B: P(green) = 3/8, P(yellow) = 1/8

C: P(green) = 1/4, P(yellow) = 1/4

D: P(green) = 5/21, P(yellow) = 11/21

E: P(green) = 3/7, P(yellow) = 1/14

Let's check the sums:

A: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 2/7 + 2/7 = 4/14 + 3/14 + 4/14 + 4/14 = 15/14 ≠ 1 (incorrect)

B: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/8 + 1/8 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)

C: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 1/4 + 1/4 = 4/14 + 3/14 + 7/14 + 7/14 = 21/14 ≠ 1 (incorrect)

D: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 5/21 + 11/21 = 6/14 + 3/14 + 10/14 + 11/14 = 30/14 ≠ 1 (incorrect)

E: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/7 + 1/14 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)

Based on the calculations, the probabilities that could complete the model and maintain a total sum of 1 are options B and E. So, the correct answers are:

B: P(green) = 3/8, P(yellow) = 1/8

E: P(green) = 3/7, P(yellow) = 1/14

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