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3 years ago

Find the mean of the following data:

Mathematics

1 answer:

egoroff_w [7]3 years ago

4 0

Mean is adding all them up and then dividing by how many there are. the answer is 12

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What is -11/40 - 0.278 in decimal form (pls this is due tmr)

astraxan [27]

Answer:

-0.553

Step-by-step explanation:

First we convert the fraction into a decimal: -11/40 = -0.275

Then, add both numbers because when you subtract a negative from a positive, you are basicaly adding the numbers.

-0.275- 0. 278= -0.553

Have a great day!

3 0

3 years ago

A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on end. If the tank is initially

k0ka [10]

Answer:

$\frac{dh}{dt} = -3.48 \times 10^{-3}\sqrt{h}$ feet per second is the differential equation

Step-by-step explanation:

Given:

The radius of the cylindrical tank= 2 feet

The height of the cylindrical tank = 10 feet

The radius of the circular hole = 3/4 inches

To Find:

The differential equation for the height h of the water at time t.

Solution:

Finding the surface area(A) of the tank

Surface area = $\pi R^2$

On substituting the values

Surface area = $\pi(2)^2$

= $4\pi$ square feet

Finding the surface area(a) of the hole

The radius is given in inches, so converting into feet we have

1 inch = 0.083 foot

similarly

$\frac{3}{4} = 0.75 inches = 0.75 \times 0.083$ = 0.0625 feet.

Now the surface area,

= $\pi \times 0.0625$

= $0.0625 \pi$ square feet

Now let the velocity of water through the hole is v

According law of conservation of energy, the penitential energy due to the height h of the water gets converted into kinetic energy.

$\frac{1}{2}mv^2 =mgh$

$v^2 = \frac{2mgh}{m}$

$v^2 = 2gh$

$v= \sqrt{2gh}$

The rate of water flowing through the hole is = $a\times v$

= > $a \times \sqrt{2gh}$

At any time t

$V(t) = A \times h(t)$

$\frac{dV}{dt} = -a\sqrt{2gh}$

$\frac{d(Ah(t))}{dt} = -a\sqrt{2gh}$

$A \frac{d(h(t))}{d(t)} = -a\sqrt{2gh}$

$\frac{dh}{dt} = -\frac{a}{A} \sqrt{2gh}$

On substituting the values, we get

$\frac{dh}{dt} = -\frac{0.0625\pi}{4\pi}\sqrt{2\times 32 \times 10$

$\frac{dh}{dt} = -3.48 \times 10^{-3}\sqrt{h}$ feet per second

3 0

3 years ago

N a number line, the directed line segment from Q to S has endpoints Q at –8 and S at 12. Point R partitions the directed line s

Evgen [1.6K]

Answer: Point R will be at the number 8 on the number line.

From -8 to 12, there are 20 numbers. If we want to get a ratio of 4:1, we need to have 5 equal sections.

20 / 5 = 4

Since the ratio is 4:1 to R, we need to move 4 x 4 = 16 spaces from -8.

-8 + 16 = 8

Look for the equation that gives you a value of 8.

5 0

3 years ago

Read 2 more answers

The selling price of an item is $ 650 it is marked down by 10% , but this sale price is still marked up from the cost of $ 450.

Tanzania [10]

Answer: 30% or $ 135.

Explanation

The mark up is generally expressed as a percentage. It is the percent increase on the cost.

We can calculate the mark up from cost to sale price of the item as a composition of steps. That is what the next steps show.

1) First step: calculate the the price after the item is marked down by 10%:

Selling price: $ 650

Mark down = 10% of 650 = 0.10 × $ 650 = $65

Price after mark down: $ 650 - $ 65 = $ 585.

2) Second step: difference of the price marked down to the cost:

$ 585 - $ 450 = $ 135

3) Calculate the percent mark up:

% mark up = (mark up / cost) × 100 = ($ 135 / $ 450) × 100 = 30%

4 0

3 years ago

Which of the following numbers is irrational? A) 6.124 B) √7 C) √0.25 D) 0.12¯¯¯¯

motikmotik

Answer:

Step-by-step explanation:

7 0

3 years ago