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Answer:

Step-by-step explanation:

27 is the "center" of a range of measurements of the height of the guard rail.  The height could be as much as 30 inches or as little as 24 inches.  The absolute value operator encloses "x - 27," where 27 is the "center."  The acceptable excess or acceptable deficiency is 3 inches.  

So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.

Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator.  27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is

D:  |h - 27| ≤ 3 (measurements in inches).

Answer:

6.72x10^7

Step-by-step explanation:

I hope this helps

Answer:

Option C will be your answer

[tex]3 \frac{3}{4} cubic \: inches[/tex]

Step-by-step explanation:

hope it helps you

Answer:

Sin p=Cos v

Cos k=Sin r

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement.

The cosine of an angle is equal to the sine of its complement.

The perimeter of a rectangular table is 198 inches.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, a rectangular table is 64 inches long and 35 inches wide.

Now the perimeter of table is

2(64+35)

= 2×99

= 198 inches

Therefore, the perimeter of a rectangular table is 198 inches.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

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Answer:

I believe the answer is 23.

Step-by-step explanation:

90-67=23

Answer:

16.8 cm³

Step-by-step explanation:

Volume= length x width x height

length x width x height = Volume

 4       x 1.4       x    3      = 16.8 cm³

Answer:

16.8 cm

Rounded: 17 cm

Step-by-step explanation:

Use the Volume formula: V= W*L*H (width x length x height)

V= 4*3*1.4

V= 16.8

Answer:

x=5+b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which of the following equations is equivalent to y-3=-2(x-6): y+3x=6 ... Move the +3*x to the right side by subtracting 3*x from (or adding negative 3*x to) ... And in addition, we know that the line graph crosses the y-axis where y equals y=-2x3.

Answer:

A. UPS- $7 Fed Ex- $6

B. 4 pounds

C. UPS by one dollar

Step-by-step explanation:

Answer:

[tex]y = \sqrt{3}[/tex]

Step-by-step explanation:

Use 45-45-90 triangle proportions y: y : y[tex]\sqrt{2}[/tex]

The hypotenuse is y[tex]\sqrt{2}[/tex] so [tex]\sqrt{6}=y\sqrt{2}[/tex]

y = [tex]\sqrt{3}[/tex]

Answer:

=425832

Step-by-step explanation:

i hope this helps :)

Answer:

425832

Step-by-step explanation:

I was trying as well gg

Answer:

246 ft^2

Step-by-step explanation:

First, break it into smaller rectangles:

3*6=12

6*9=54

15*12=180

Add the areas together

12+54+180=246

The area of the figure is 246 ft^2

Answer:

This is worth more than 15

Step-by-step explanation:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Step-by-step explanation:

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2

I will do 4 and 5 only. Also, post one problem at a time.

Question 4

Measure of arc GJ = measure of the central angle, which in this case is 90 degrees. So, the measure of arc GJ = 90°.

Question 5

The measure of diameter HJ = 180 degrees.

We need to find the adjacent angle which I will call angle x.

So, x = 180° - 151° = 29 degrees.

Just like Question 4 above, the measure of 29 degrees is the central angle for arc HI.

As you know, HI = the measure of the central angle. So, the measure of arc HI = 29°.

Try the rest on your own.

As you do the rest, keep in mind that the measure of a circle in terms of degrees is 360 degrees. This will help you do the rest of the questions for circle B.

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

[tex]{3}^{4x} = {3}^{3( x+ 2)} [/tex]

4x = 3(x + 2)

4x = 3x + 6

4x - 3x = 6

x = 6

Answer:

36 (Answer D)

Step-by-step explanation:

There are 4 possible choices of main dish, 3 of sides and 3 of drinks.

All choices are independent, so this is independent probability.

The number of combinations is 4*3*3, or 36 (Answer D)

y = (2x + 1)/(3x + 4)

y(3x + 4) = (2x + 1)

3xy + 4y = 2x + 1

4y - 1 = 2x - 3xy

4y - 1 = x(2 - 3y)

x = (4y - 1)/(2 - 3y) , answer = E

Answer:

26460

Step-by-step explanation:

it is the correct answer

Answer:

3780 is 700% of 540

Step-by-step explanation:

According to g00gle this is correct and also a percentages calculator

Answer:

5 3/5

Step-by-step explanation:

17/5+11/5=28/5=5 3/5

Answer:

5 3/5

Step-by-step explanation:

3+2

2/5 + 1/5

5+3/5

5 3/5

Answer:

a) 65%

b) 28.57%

Step-by-step explanation:

Suppose that 35% of all patients admitted to a hospital's

intensive care unit have high blood pressure, 42% have some sort of infection, and 12% have both problems. Probabilities estimated from the data in ICU Admissions. (10POINTS)

 (a)  Find the probability that a randomly chosen patient in this ICU has either high blood pressure or an infection.

 (b)  Find the probability that a patient admitted to the ICU has high blood pressure given that an infection is present.

Solution:

Let H represent the people with high blood pressure and I represent the people with infection.

P(H) = 35% = 0.35, P(I) = 42% = 0.42, P(H ∩ I) = 12% = 0.12

Those with only high blood pressure = P(H ∩ I') = P(H) - P(H ∩ I) = 0.35 - 0.12 =0.23

Those with only infection = P(H' ∩ I) = P(I) - P(H ∩ I) = 0.42 - 0.12 =0.30

a) probability that a  patient has either high blood pressure or an infection = P(H ∪ I)

P(H ∪ I) = P(H ∩ I') + P(H' ∩ I) + P(H ∩ I) = 0.23 + 0.3 + 0.12 = 0.65 = 65%

b) probability that a patient has high blood pressure given that an infection is present = P(H / I)

P(H / I) = P(H ∩ I) / P(I) = 0.12 / 0.42 = 0.2857 = 28.57%

Answer:

x = 45/2 = 22.5 cm

Step-by-step explanation:

2x + 45 = 90

2x = 90- 45= 45

2x = 45

x = 45/2 = 22.5 cm

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