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horsena [70]
2 years ago
6

PLEASE HELP AND GIVE A FULL EXPLANATION I WILL GIVE BRAINLEST PLEASE SOMEONE

Mathematics
1 answer:
krek1111 [17]2 years ago
3 0

Answer:

shown in explanation

Step-by-step explanation:

a) ∆EPB similar to ∆ERG

b) angle BEP = angle GER (common angle shared)

angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)

therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG

or explanation can also be shortened to

∆EPB is similar to ∆ERG (AA, similarity)

c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal

\frac{pb}{rg}  =  \frac{ep}{er}

RG = 200+300=500m

\frac{200}{500}  =  \frac{ep}{ep + 350}

cross multiply (from what I've learnt)

2ep+700=5ep

ep= 700/3 = 233 ⅓m (answer for length EP)

Do the same for length BE(using ratio of corresponding sides)

\frac{be}{ge}  =  \frac{pb}{rg}

\frac{be}{be + 400}  =  \frac{200}{500}

cross multiply again to get:

5BE = 2BE + 800

BE = 800/3 = 266 ⅔ m (answer for length BE)

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t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890  

The p value for this case would be:

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Step-by-step explanation:

Information given

\bar X_{1}=4 represent the mean for sample A

\bar X_{2}=3.5 represent the mean for sample B

s_{1}=1.5 represent the sample standard deviation for A

s_{2}=1 represent the sample standard deviation for B  

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We want to verify if the student who graduates from college A has taken more math classes, on the average, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2} \leq 0  

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t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)  

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The p value for this case would be:

p_v =P(t_{18}>0.890)=0.193  

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

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