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chubhunter [2.5K]
3 years ago
13

Find the value of BC. HELP PLEASE!!

Mathematics
2 answers:
AleksandrR [38]3 years ago
8 0
All three sides are the same as indicated by the bars on them.
So
1/2x-2 =3/2x-12
x=10
Masteriza [31]3 years ago
6 0

It's an equilateral triangle, therefore

AB = BC = BA

We have the equation:

\dfrac{3}{2}x-12=\dfrac{1}{2}x-2\qquad\text{multiply both sides by 2}\\\\3x-24=1x-4\qquad\text{add 24 to both sides}\\\\3x=x+20\qquad\text{subtract x from both sides}\\\\2x=20\qquad\text{divide both sides by 2}\\\\x=10

BC=BA\to BC=\dfrac{1}{2}(10)-2=5-2=3

<h3>Answer: BC = 3</h3>
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Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)

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Answer:

The obtained value of the appropriate statistic is ____.

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{3.8 -0}{\frac{2.775}{\sqrt{5}}}=3.06  

d. 3.06

p_v =2*P(t_{(4)}>3.06) =0.0376  

d. reject H0; the class appeared to improve study habits

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations we can use it.  

Let put some notation  

x=before method , y = after method  

x: 10 12 14 16 12

y: 15 14 17 17 20

The system of hypothesis for this case are:  

Null hypothesis: \mu_y- \mu_x = 0  

Alternative hypothesis: \mu_y -\mu_x \neq 0  

The first step is define the difference d_i=y_i-x_i, that is given so we have:

d: 5,2,3,1,8

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=3.8  

The third step would be calculate the standard deviation for the differences, and we got:  

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =2.775  

The fourth step is calculate the statistic given by :  

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{3.8 -0}{\frac{2.775}{\sqrt{5}}}=3.06  

The next step is calculate the degrees of freedom given by:  

df=n-1=5-1=4  

Now we can calculate the p value, since we have a two tailed test the p value is given by:  

p_v =2*P(t_{(4)}>3.06) =0.0376  

The p value is less than the significance level given \alpha=0.05, so then we can conclude that we reject the null hypothesis.

d. reject H0; the class appeared to improve study habits

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3 years ago
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