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Anarel [89]
3 years ago
12

I NEED HELP WITH THIS ASAP!! Please!

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

f(x)=3x+2,g(x)=2x^(2)-1

Step-by-step explanation:

First set up the composite result :

f (g (x))

Evaluate f (g (x))

3( 2x sqaured -1 ) + 2

Simplify:

f ( 2X SQUARED -1 ) 6 x squared -3 + 2

Add 2 and -3

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What two numbers have an absolute value of 16
Harrizon [31]
Both the negative and positive counterparts of a number have the same absolute value, or distance from 0.

The two numbers are 16 and -16.
They both have the same absolute value, 16.


7 0
3 years ago
Read 2 more answers
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
2ab + 4 = d solve for a
Anestetic [448]

Answer:

a = d/2b - 2/b

Step-by-step explanation:

2ab+4=d

2ab=d-4

a= d/2b - 4/2b

<h2>a = d/2b - 2/b</h2>
8 0
3 years ago
How do i solve x/2+1/3=x/3+1/2
stepladder [879]
X/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6

x = 1

8 0
3 years ago
Read 2 more answers
Which of the following is equal to the fraction below?
Vesna [10]

In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as (\frac{a}{b})^n, the exponent n can be "distributed" as: (\frac{a}{b})^n= \frac{a^n}{b^n}.

In our case, the power, n=11; a=7 and b=4. Thus, the expression (\frac{7}{4})^{11}, can be written as \frac{7^{11}}{4^{11}}.

Thus, out of the given options, option A is the correct option.

6 0
3 years ago
Read 2 more answers
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