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2 years ago

Recall the quotient rule

Mathematics

1 answer:

Ghella [55]2 years ago

6 0

Answer:

The quotient rule says that the derivative of the quotient is "the derivative of the top times the bottom, minus the top times the derivative of the bottom, all divided by the bottom squared"..... ... We simply recall that the quotient f/g is the product of f and the reciprocal of g. Hope it helps

Step-by-step explanation:

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Can some help me with this please

olganol [36]

Answer: Ten more than twice a number is 34.

Step-by-step explanation:

it would be ten plus 2 times x=34, but we dont know that number, so we replace it with a variable.

2x+10=34

5 0

3 years ago

A researcher wanted to see if giving a selective serotonin reuptake inhibitor (anti-depressant) would decrease the number of sel

Delvig [45]

Answer:

a. The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

b. z=-1.6

c. SEM = 2.212

Step-by-step explanation:

The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

Sample mean

$M=\dfrac{1}{8}\sum_{i=1}^{8}(27+25+32+40+43+37+35+38)\\\\\\ M=\dfrac{277}{8}=35$

Sample variance and standard deviation

$s^2=\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2\\\\\\s^2=\dfrac{1}{7}\cdot [(27-(35))^2+(25-(35))^2+(32-(35))^2+(40-(35))^2+(43-(35))^2+(37-(35))^2+(35-(35))^2+(38-(35))^2]\\\\\\$

$s^2=\dfrac{1}{7}\cdot [(58.141)+(92.641)+(6.891)+(28.891)+(70.141)+(5.64)+(0.14)+(11.39)]\\\\\ s^2=\dfrac{273.875}{7}=39.125\\\\\\s=\sqrt{39.125}=6.255$

b. If the population mean is 45, the z-score for M=35 would be:

$z=\dfrac{M-\mu}{\sigma}=\dfrac{35-45}{6.255}=\dfrac{-10}{6.255}=-1.6$

c. The standard error of the mean (SEM) of this group is calculated as:

$SEM=\dfrac{s}{\sqrt{n}}=\dfrac{6.255}{\sqrt{8}}=\dfrac{6.255}{2.828}=2.212$

4 0

3 years ago

HELP Solve for x and PS

ANTONII [103]

Answer:

PS = 84.5 , x = 43.75

Step-by-step explanation:

Since RQ is congruent to PS, PS is 2x - 3

SR: 4x + 1

Extra at the bottom: 4

4x + 1 + 4 = 180

4x + 5 = 180

- 5 - 5

4x = 175

/4 /4

x = 43.75

Plug in for PS

2 (43.75) - 3

87.5 - 3

84.5

I hope this helps!

4 0

2 years ago

Why is the answer 150?

tensa zangetsu [6.8K]

180-30=150, it's simple math...

6 0

3 years ago

Read 2 more answers

Factorise completely 5x²-5

Goryan [66]

Factor:

5x^2 − 5

= 5 ( x + 1 ) ( x − 1 )

Answer:

5 ( x + 1 ) ( x − 1 )

8 0

3 years ago