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deff fn [24]
3 years ago
15

If​ f(x) is continuous on a closed​ interval, then it is enough to look at the points where f prime (x )equals0 in order to find

its absolute maxima and minima.
A) True
B) False
Mathematics
1 answer:
aivan3 [116]3 years ago
5 0
This would be false
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Plug in your coefficients
3 0
3 years ago
There is a ratio of 5 girls to 3 boys in the chorus. There are 24 boys in the chorus. How. many girls are in the chorus?
leva [86]

Answer:     40

Step-by-step explanation:

5/3    24/?

    divided by 8 =24 divided by 8 =3

                     5 x 8   =40  

Hope this helps :)

6 0
3 years ago
A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d
kenny6666 [7]

Answer:

z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2    

p_v =2*P(Z>2)=0.0455  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation  

\bar X=25 represent the sample mean

\sigma=2 represent the sample population deviation for the sample  

n=16 sample size  

\mu_o =24 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:  

Null hypothesis:\mu = 24  

Alternative hypothesis:\mu \neq 24  

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(Z>2)=0.0455  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

6 0
3 years ago
The function f(x) = 3x − 2 represents the altitude of a hot air balloon, where x is the time in minutes. The function g(x) = x2
cluponka [151]

Answer:

70

Step-by-step explanation:

If g(x) =x^2 -1, then

f[g(5)] = 3*(5^2-1) -2 =72-2= 70

6 0
3 years ago
Which pair of undefined terms is used to define the term parallel lines?
olya-2409 [2.1K]
Point and line
Explanation : Parallel lines are two or more lines that do not intersect in any point. This definition uses "point" and "line," which are two of the undefined terms in geometry.
4 0
3 years ago
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