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3 years ago

2x -9 < 7 Please answer

Mathematics

1 answer:

Marysya12 [62]3 years ago

6 0

Answer:

18(<) 7= False

Step-by-step explanation:

1)-9×2=18

2)18(<) 7

3) The equation is Fasle.

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College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall

Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$

z = z-score,

x = Random sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

$35\text{ min}=0.58\text{ Hour}$

$z=\frac{9.6-8.6}{0.58}$

$z=\frac{1}{0.58}$

$z=1.72$

Now, we need to find $P(z>1.72)$ .

Using formula $P(z>a)=1-P(z$ , we will get:

$P(z>1.72)=1-P(z$

Using normal distribution table, we will get:

$P(z>1.72)=1-0.95728$

$P(z>1.72)=0.04272$

$0.04272\times 100\%=4.272\%$

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0

3 years ago

Geoffrey wants to make one planter that extends from the ground to just below his back window. The window starts 3 feet off the

sweet [91]

Answer:

Explained

Step-by-step explanation:

the volume of the planter needs to be 36 cubic feet

height can be 3 feet and not more

therefore are the product of its length and breadth = 36/3 = 12 ft

l×b= 12

there land be can be any two multiples of 12

1 and 12, 3 and 4 , 6 and 2 are possible values of length and breath.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2

Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$

So the expression becomes

$\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}$

This means that the expression is defined for every $x\neq 3$

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

$x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2$

Since we can't accept 3 as an answer, the actual solution set is

$(-\infty,-2] \cup [2,3) \cup (3,\infty)$

7 0

2 years ago

Which is the quotient of 11/12 divide by 5/7

Phantasy [73]

11/12 divided by 5/7 should be 0.02619047619 you can double check it though

3 0

3 years ago

If x = 64, what is the value of x(x - 6)?

Fiesta28 [93]

Answer:

64(64-6) = 3712

Step-by-step explanation:

64(64 -6)

64-6 = 58

64(58) = 3712

7 0

3 years ago