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Crank
3 years ago
12

The graph shows two exponential functions. Choose the correct statement concerning their bases

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The two graphs are reflections of each other in the y-axis

If one is f(x), other is f(-x)

c^x = b^(-x)

c = b^-1

c = 1/b

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Alinara [238K]

Answer:

137°

Step-by-step explanation:

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Five years ago, Chris opened a savings account that earned 1.4% simple interest every year. He opened his account with $850.00 a
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If it is compounded annually, this will be 850(1.014)^5 which equals $911.19
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3 years ago
How do I solve and find x for this question
Fed [463]

Answer: -9.1


Explanation
-3x +12.4=39.7
First minus 12.4 from both sides

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2 years ago
Mark tosses a coin 25 times. What is the probability that it lands on heads exactly seven times?
mezya [45]

Answer:

1.43%

Step-by-step explanation:

we have that we can solve it by means of binomial, in this case m = 25. Also the probability of head is 50%. we need to know when it falls 7 times, therefore x = 7

the formula is:

P (x) = mCx * p ^ x * q ^ (m-x)

we know that p is 0.5 therefore q is equal to 0.5, replacing:

P (7) = 25C7 * 0.5 ^ 7 * 0.5 ^ (25-7)

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6 0
3 years ago
Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are
Nastasia [14]

Answer:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

\hat p=0.36 estimated proportion with the survey

p_o=0.41 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:  

Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

8 0
3 years ago
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