Could anyone help me with this ? Thank you!

If f(x)=6x and g(x) = 4x+1, find ( f o g)(x)

butalik [34]

(f○g)(x)=f(g(x))

(f○g)(x)=6(4x+1)

(f○g)(x)=24x+6

6 0

3 years ago

Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To

Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b. 90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a. The table below shows the calculations:

X (X-mean)^2

1.7 0.0225

1.8 0.0025

1.9 0.0025

2.0 0.0225

Total 7.4 0.05

Sample size: n=4

The mean is: \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0

4 years ago

How do graphs and equations reveal information about a relationship between two quantities

fiasKO [112]

Graph and equation both shows the proportional comparison between two quantities

for example, equation y = 4x, this means, the value of 'y' will always be 4 times the value of 'x'

More complex equation such as y = 3x + 5, means that the value of 'y' equals to 5 more triples of value of 'x'

Another example is the conversion graph attached below, it shows the relationship between kilometers and miles. For example, we want to find out how many miles are in 10 kilometers, we would draw a line from the point that shows 10 km towards the graph, then across from the graph to miles, and we'd get a reading of 12 miles.

3 0

4 years ago

If x+y=5,x-y=4,find the value of x²-y²

inysia [295]

Answer:

20

Step-by-step explanation:

→ First find the value of x and y

x + y = 5

x - y = 4

→ Add the equations to cancel out the y's

2x = 9

→ Divide both sides by 2 to find the value of x

x = 4.5

→ Substitute x = 4.5 back into x - y = 4 to find the value of y

4.5 - y = 4

→ Minus 4.5 from both sides to isolate -y

-y = -0.5

→ Multiply everything by -1

y = 0.5

→ Substitute x = 4.5 and y = 0.5 into x² - y²

4.5² - 0.5² = 20.25 - 0.25 = 20

4 0

3 years ago

PLEASEEEE HELP!!!<br> Which equation should you solve to find x?

ziro4ka [17]

Answer:

B

Step-by-step explanation:

3 0

3 years ago

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