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mojhsa [17]
1 year ago
12

Which proportion can be used to show that the slope of AC is equal to the slope of CE?

Mathematics
1 answer:
Gnesinka [82]1 year ago
5 0

Slope is given by the expression:

m=\frac{y_2-y_1}{x_2-x_1}

We can equal both slopes of mAC and mCE

\begin{gathered} \frac{3-6}{-1-(-3)}=\frac{-3-3}{3-(-1)} \\  \\ \frac{-3}{2}=-\frac{6}{4} \\ -\frac{3}{2}=-\frac{3}{2} \end{gathered}

Answer is B.

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Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. Consider a sample of
ExtremeBDS [4]

Answer:

0.183

Step-by-step explanation:

This is a question on Binomial Probability

Formula =nCx × p^x × q^n - x

p = 0.72

q = 1 - p

= 1 - 0.72

= 0.28

x = number of successes = 9

n = 10

The probability that at least nine out of ten people used an online travel website when they booked their airline ticket

At least 9 out of 10 means

x ≥ 9 = x = 9 and x = 10

Hence,

P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)

P(x ≥ 9) = 0.14559635388 + 0.0374390623

= 0.18303541631

≈ 0.183

3 0
3 years ago
Find the exact solution for the following system of equations. 2x+3y=48 x+6y=11
TEA [102]
Question <span>2x+3y=48
Answer </span><span>x = 24 + -1.5y

Question </span><span>x+6y=11
</span>Answer x = 11 + -6y
4 0
3 years ago
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current
vladimir2022 [97]

Answer:

z=\frac{7.1-7.4}{\frac{1.2}{\sqrt{36}}}=-1.5  

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

p_v =P(z  

Comparing the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the true mean is significantly lower than 7.4 minutes at 10% of significance

Step-by-step explanation:

Data given and notation  

\bar X=7.1 represent the sample mean    

\sigma=1.2 represent the population standard deviation

n=36 sample size  

\mu_o =7.4 represent the value that we want to test  

\alpha=0.1 represent the significance level for the hypothesis test.  

z 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 i lower than 7.4, the system of hypothesis would be:  

Null hypothesis:\mu \geq 7.4  

Alternative hypothesis:\mu < 7.4  

The statistic is given by

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

Calculate the statistic  

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

z=\frac{7.1-7.4}{\frac{1.2}{\sqrt{36}}}=-1.5  

P-value  

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

p_v =P(z  

Conclusion  

Comparing the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the true mean is significantly lower than 7.4 minutes at 10% of significance

6 0
3 years ago
Which is the measure of AB? 10 feet 15 feet 20 feet 100 feet
cupoosta [38]
10 feet is the one i hop i help
6 0
4 years ago
Gabe has $100 in a savings account.The interest rate is 5% per year and is not compounded. How much will he have in 1 year?
Damm [24]

Answer:

I believe the answer is $105.

Step-by-step explanation: Because the interest is not compounded, that means that the formula would be 100(.05)(1), and then adding that number (5) to the answer, which is 105.

6 0
3 years ago
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