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N76 [4]
3 years ago
10

Identify the initial amount a and the growth factor b in the exponential function. A(x)=30*8.3^x

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0

Answer:

Option B is correct.

Initial amount (a) = 30 and growth factor(b) = 8.3

Step-by-step explanation:

An exponential function is of the form: y =ab^x        ....[1]

where

a represents the initial amount

b represents the growth factor and x is the variable

Given the function: A(x) = 30 \cdot (8.3)^x

On comparing given equation with [1] we get;

a = 30 and b = 8.3

Therefore, the initial amount(a) = 30 and growth factor(b) = 8.3

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Find two numbers between 1.4142133 and 1.41422
Naddik [55]

Hey there! I'm happy to help!

To find the number halfway between two numbers, you simply add them and then divide by two.

1.4142133+1.41422=2.8284333

2.8284333/2=1.41421665

That is one number in between these two. Now, we can find the number in between the middle number and the second number. This is another number in between our two numbers.

(1.41421665+1.41422)/2=1.414218325

You could keep on doing this and find tons of numbers in between these two.

Therefore, two numbers between 1.4142133 and 1.41422 are 1.41421665 and 1.414218325.

Have a wonderful day! :D

6 0
3 years ago
Mrs martin has 80 boxes of paper clips there are 10 paper clip in each box. How many paper clip does she have ?
Bezzdna [24]
80*10=800
answer is 800 clips
5 0
3 years ago
Read 2 more answers
Suppose we are testing people to see if the rate of use of seat belts has changed from a previous value of 88%. Suppose that in
Andreas93 [3]

Answer:

a) We would expect to see 500*0.88=440

b) z=\frac{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376  

p_v =2*P(Z>1.376)=0.167  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when p_v we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".  

Step-by-step explanation:

Data given and notation

n=500 represent the random sample taken

X=450 represent the people that have the seat belt fastened

\hat p=\frac{450}{500}=0.9 estimated proportion of people that have the seat belt fastened

p_o=0.88 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v{/tex} represent the p value (variable of interest)  Part aWe would expect to see 500*0.88=440Part bConcepts and formulas to use  We need to conduct a hypothesis in order to test the claim that the true proportion changes fro m 0.88.:  Null hypothesis:[tex]p=0.88  

Alternative hypothesis:p \neq 0.88  

When we conduct a proportion test we need to use the z statisitc, 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{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z>1.376)=0.167  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when p_v we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".  

8 0
2 years ago
Why is 6 1/2 equal to the square root of 6
Aleksandr-060686 [28]
Because It Can Be Simplified Many Ways
4 0
3 years ago
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A) x = 26, y =11<br><br> B) x = 13, y = 24<br><br> C) x = 11, y =26<br><br> D) x = 24, y = 13
zepelin [54]

Answer:

A) x=26, y=1

Step-by-step explanation:

parallelograms have equal lengths on opposite sides. in this picture, y is alone. Opposite of that, the length is 11. so y must be 11. the only choice there is A.

7 0
3 years ago
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