Convert 54 3/4 into decimal notation.

Answers

Answer 1
Answer: Answer: 54 and 3/4 can be written as 54.75 in decimal notation.

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The weight of male Americans between the ages of 18 and 25 is normally distributed, with a mean of 164.5 lb and a standard deviation of 26 lb. One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.What is the obesity threshold weight for a young adult American male? Round your answer to the nearest tenth.

Answers

Z- score equal to 2 means 2 standard deviations greater than the mean.
Mean + 2 z = 164.5 + 2 * 26 = 164.5 + 52 = 216.5
Answer: the obesity threshold weight  for a young adult American male is 216.5 lb. 

Answer:

216 is correct!

Step-by-step explanation:

The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds.Weeds Roses
10 20
20 10

Answers

Number of roses (r) in a garden increases when the number of weeds (w) decreases, this supports an inverse relationship between the two variables. 
The formula is then therefore, r = k/w
Solve for constant first.
r = k/w
20 = k/10
200 = k

r=200/5
r=40 roses
40 roses when there are 5 weeds.


Answer:

The Inverse variation says that:

y \propto (1)/(x),

then the equation is of the form:

y = (k)/(x) or xy = k

Here, r represents the number of roses and w represents the number of weeds.

As per the statement:

The number of roses (r) in a garden increases when the number of weeds (w) decreases.

by definition of inverse variation:

rw = k          ....[1]

From the given table:

take any points

r = 20 and w = 10 then;

Substitute in [1] we have;

(20)(10)= k  

Simplify:

k = 200

The equation becomes: rw = 200  

We have to find the number of roses when there are 5 weeds.

⇒w = 5

then;

r(5) = 200  

Divide both sides by 5 we get;

r = 40

Therefore, the number of roses are 40 when there are 5 weeds.

What is the place value of 4 7835.04​

Answers

Place value of 4 is 4/100

What is the arc measure of ABC in degrees?with

(20y - 11)

(4y +6) AP

(7y - 7)

Answers

Answer:

The measure of arc ABC is 283°.

Step-by-step explanation:

We know that the whole arc is equal to 360°, that means

AC+AB+BC=360

Where AC=7y-7, AB=4y+6 and BC=20y-11. Replacing these expressiones, we have

7y-7+4y+6+20y-11=360\n31y-12=360\n31y=360+12\ny=(372)/(31)\ny=12

But, arc ABC is defined by the sum of arcs AB and BC:

ABC=AB+BC=4y+6+20y-11=24y-5=24(12)-5=283

Therefore, the measure of arc ABC is 283°.

Answer:

Arc measure of ABC is 283°

Step-by-step explanation:

We know the total angle of the circle is 360°.

Therefore,

(20y - 11) + (4y +6) + (7y - 7) = 360°

Collecting like terms, we have:

20y + 4y + 7y = 360 + 7 - 6 + 11

31y = 372

Let's divide both sides by 31.

(31y)/(31) = (372)/(31)

y = 12

The arc measure of ABC is the sum of AB and BC. To find the arc measure of ABC, we have:

(4y +6) + (20y - 11)

Collecting like terms, we have:

4y + 20y + 6 - 11

24y - 5

Let's substitute 12 for y

24(12) - 5

288 - 5 = 283°

Arc measure of ABC is 283°

I just purchased a swimming pool with the dimensions of 15 feet across and 42 inches deep. Yes it is a circle. I need to know how many gallons of water it will hold. I am having a tanker brought out and need to know how much they need to bring because they charge by the gallon to bring it out.

Answers

When the pool is full to the rim, you'll have a cylinder of water.  The diameter
of the cylinder is 15-ft, and the height of the cylinder is 42 inches.

Here are the tools you'll need:

-- Volume of a cylinder = (pi) (radius squared) (height)
-- Radius = 1/2 diameter = 7.5 feet
-- Keep everything in the same units.  Depending on which unit
you prefer,  7.5 feet = 90 inches,  and 42 inches = 3.5 feet.

I like inches and cubic inches, because I remember that
1 gallon = exactly 231 cubic inches.

Volume of the cylinder = (pi) (radius squared) (height)

Volume = (pi) (90 squared) (42) = (pi) (8,100) (42) = 1,068,769.8 cubic inches

1,068,769.8 / 231 = 4,626.7 gallons
===================================
Slightly easier:

about 7.48 gallons = 1 cubic foot

Volume = (pi) (7.5-ft squared) (3.5-ft) = 618.5 cubic feet

(618.6 cubic-ft) x (7.48 gallons per cubic-ft) = 4,627.1 gallons

The results are not identical, but don't panic.  They are equal
to within about 51 ounces (0.009 percent).  The tanker will either
spill or evaporate more than that during the process of the delivery.

By the way ... you'd be wise not to install the pool on the second floor.
That much water weighs a little over 19.3 tons !




 

Lin,Mac, and star spend 6$ on supplies to set up a lemonade stand they sell 21$ worth of lemonade they are going to share the money equally evaluate the expression (21-6) divided by 3 to find how much money each one will make.

Answers

each person will make $5.00.