All categories

2 years ago

Over which intervals is the function decreasing?

Mathematics

1 answer:

yarga [219]2 years ago

6 0

Answer:

Step-by-step explanation:

The graph (and thus the function) is decreasing on (-5, infinity).

You might be interested in

Which expression is equivalent to (x6x10

yan [13]

Answer:

In solving an equation where one fraction is equal to another fraction we can use the method of cross-multiplication

⇒x+6x=107

Now multiply the red terms together, the blue terms together and equate them.

⇒10x=7(x+6)

distribute the bracket.

5 0

2 years ago

write an expression that shows how you can multiply 9x475 using expanded form and the distributive property

Harlamova29_29 [7]

+6 +4
475
× 9
------------
4275

6 0

2 years ago

The attendance for the first night of a play is 455. The attendance increases by 16 on each of the next 9 nights.

Nookie1986 [14]

There are 599 people on the tenth night and 4111 if you add all the nights together.

5 0

2 years ago

Read 2 more answers

Simplify 3a+4+b+2a+5+b

Alinara [238K]

Answer: 5 a + 2 b + 9

Step-by-step explanation: Hope this helped!!!!

8 0

2 years ago

Read 2 more answers

Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean $\mu=510$ ,

Standard deviation $\sigma=100$

Sample mean $x=300$

Percentage of students scored below 300 is given by,

$P(Z\leq \frac{x-\mu}{\sigma})\times 100$

$=P(Z\leq \frac{300-510}{100})\times 100$

$=P(Z\leq \frac{-210}{100})\times 100$

$=P(Z\leq-2.1)\times 100$

$=0.0179\times 100$

$=1.79\%$

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

$P(x\leq t)=0.90$

Now, $P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90$

$P(Z< \frac{t-\mu}{\sigma})=0.90$

$\frac{t-\mu}{\sigma}=1.28$

$\frac{t-510}{100}=1.28$

$t-510=128$

$t=128+510$

$t=638$

Score puts someone in the 90th percentile is 638.

5 0

3 years ago