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Sonja [21]
3 years ago
13

What is the probability that a coin will be flipped 4 times and the result will be HTHT?

Mathematics
2 answers:
zepelin [54]3 years ago
5 0
I think the answer is 1/16 because there is only one way that HTHT can fall out of 16 possible outcomes. That's what I think. Hope this helps!
Sati [7]3 years ago
5 0
Hello!

With every flip of a coin, the chances of flipping heads or tails are the same; 50% chance of either. 

For your question, you are asking what the probability of getting heads, tails, heads, and tails (in that order) is.
To find the probability, your formula will be 1/2 multiplied four times. 1/2 because of the 1 side that you are aiming to flip (heads on the first flip) divided by the amount of sides there are on a coin (2). 
Because you are flipping the coin four times, you will multiply the fraction four times. 
1/2x1/2x1/2x1/2 
Once this is multiplied, your answer is 1/16. 

The probability that a coin will be flipped 4 times and the result will be HTHT is 1/16. 

I hope this helps you!!
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If a+b+c=0 then find the value of a^2+b^2+c^2/a^2-bc pls help me
VladimirAG [237]

a+b+c=0

[(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc]

[a^2+b^2+c^2+2ab+2ac+2bc=0]

[a^2+b^2+c^2=-(2ab+2ac+2bc)]

[a^2+b^2+c^2=-2(ab+ac+bc)] (i)

also

[a=-b-c]

[a^2=-ab-ac] (ii)

[-c=a+b]

[-bc=ab+b^2] (iii)

adding (ii) and (iii) ,we have

[a^2-bc=b^2-ac] (iv)

devide (i) by (iv)

[(a^2+b^2+c^2)/(a^2-bc)=(-2(ab+bc+ca))/(b^2-ac)]
8 0
3 years ago
Find(f−g)(x) f(x)=x2−6xandg(x)=−2x+3 <br> A x2−4x+3 <br> B x2+4x−3 <br> C x2−4x−3 <br> D x2+4x+3
3241004551 [841]

Answer:

option C is the answer......

8 0
3 years ago
The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2). Compare the perimeters
valkas [14]
The two rectangles are not similar. actually WXYZ is not a rectangle at all. it is a polygon but not a rectangle. hope the visual helps.. 

4 0
3 years ago
The American Water Works Association reports that the per capita water use in a single-family home is 63 gallons per day. Legacy
Debora [2.8K]

Answer:

t=\frac{60-63}{\frac{8.9}{\sqrt{28}}}=-1.784    

df=n-1=28-1=27  

p_v =P(t_{(27)}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=60 represent the sample mean

s=8.9 represent the sample standard deviation

n=28 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0.01 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 less than 63, the system of hypothesis would be:  

Null hypothesis:\mu \geq 63  

Alternative hypothesis:\mu < 63  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-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:  

t=\frac{60-63}{\frac{8.9}{\sqrt{28}}}=-1.784    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=28-1=27  

Since is a one side lower test the p value would be:  

p_v =P(t_{(27)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.  

5 0
3 years ago
For class trip the teachers would like to have one adult for every 10 students there are 190 students on the trip how many adult
dalvyx [7]

19 teachers

I hope this helps

have a great day

8 0
3 years ago
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