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Mrac [35]
3 years ago
10

Suppose a college surveyed its students and found that two-thirds of them sleep at least seven hours each night. on a campus of

918 students, how many students could be expected to sleep at least seven hours each night?
Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0
The answer is <span>606 students.

2/3 is equivalent to 0.66

You multiply 918 and 0.66

918 x 0.66 = </span><span>605.88.

</span><span>You round 605.88 to the nearest whole which is 606 students.</span>
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I NEED HELP ASAP!!!!!!!<br><br> A. m= -2<br> B. m= -1/2<br> C. m= 2<br> D. m= 1/2
LenaWriter [7]

Answer:

A. m = -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (0, 0)

Point (1, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [SF]:                    \displaystyle m=\frac{-2-0}{1-0}
  2. [Fraction] Subtract:                             \displaystyle m=\frac{-2}{1}
  3. [Fraction] Divide:                                \displaystyle m=-2
6 0
3 years ago
Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.
Levart [38]

Answer:

The standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Step-by-step explanation:

We know that:

4p\left(y-k\right)=\left(x-h\right)^2 is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

x^2\:+\:10x\:+\:6y\:=\:47

Rewriting the equation in the standard form

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

where

vertex (h, k) = (-5, 12)

7 0
2 years ago
Please answer number 29 ASAP
Effectus [21]

h = 5b - 2

\frac 1 2 b h= 36

b(5b - 2) = 72

5b^2 - 2b - 72 = 0

(b - 4)(5b + 18) = 0

b = 4 \textrm{ or }b = -18/5

We can rule out the negative length.

h = 72/b = 72/4 = 18

Answer: b=4, h=18


3 0
3 years ago
Read 2 more answers
if 5 litres of water are drawn from a cylindrical container of internal diameter 56cm find the drop in the level of water in the
AlexFokin [52]

Answer:

the drop in the level of water in the container is 2.03 cm

Step-by-step explanation:

The volume of a cylinder can be written as;

V = \pi r^2h=\frac{\pi d^2h}{4}  \\where;\\r = radius \\h = height \\d = diameter

the change in height when the volume changes can be derived by differentiating the equation.

dV =\frac{\pi d^2}{4} dh\\dh = dV\frac{4}{\pi d^2}

substituting the given values;

\left \{ {{dV=5 litres= 5000cm^3} \atop {d=56 cm}} \right.

dh = 5000\frac{4}{\pi * 56^2}\\dh = 2.03cm

the drop in the level of water in the container is 2.03 cm

4 0
3 years ago
How can you prove a triangle is not a right angle
ExtremeBDS [4]

Answer:

It does not have any angles that exceed 90 degrees

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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