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3 years ago

In mr. sneed's classroom, there are 132 tiles and 11 lights. what is the ratio of lights to tiles in mr. sneed's classroom?

Mathematics

1 answer:

Vanyuwa [196]3 years ago

6 0

That would be 1:12. 1 light, 12 tiles.

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Find the indicated limit, if it exists. (1 point) limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

For the limit of a function to exist, then the right hand limit of the function must be equal to its left hand limit as shown;

If the function is f(x), for f(x) to exist then;

$\lim_{n \to a^{+} } f(x) = \lim_{n \to a^{-} } f(x) = \lim_{n \to a } f(x)$

Given the function;

$f(x) = \left \{ {{x+9\ x$

Lets check if the above statement is true.

The right hand limit of the function occurs at x> 9

f(x) = 9-x

$\lim_{x \to 9+} (9-x)\\= 9-9\\= 0$

The left hand limit occurs at x<9

f(x) = x+9

$\lim_{x \to 9^{-} } (x+9)\\= 9+9\\= 18$

From the above calculation, it can be seen that $\lim_{x \to 9^{+} } f(x) \neq \lim_{x \to 9^{-} } f(x)$ , this shows that the function given does not exist at the given point.

6 0

3 years ago

(9-3)+18÷8 <br>show your work

egoroff_w [7]

Answer:

(9-3)+18÷8

=6+ 9/4

Step-by-step explanation:

.............

3 0

2 years ago

Read 2 more answers

Graph the systems of equations to find the solution.

frutty [35]

The solution is (8,-9).

7 0

3 years ago

What is the geometric mean between 9/16 and 25/36

sergiy2304 [10]

Answer:

5/8

Step-by-step explanation:

Geometric mean is found by multiplying the n number of values and then taking the n-root.

To do this with these numbers, sqrt((9/16)*(25/36)) = (3/4)(5/6) = (1/4)(5/2)= 5/8

I hope this helps! :)

6 0

3 years ago

Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

3 years ago