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amm1812
2 years ago
4

What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizon

tal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
8 0

Answer:

Definition of Congruent angles.

Step-by-step explanation:

Given

See attachment

Required

Complete the proof at step 8

At step 8, we have:

\angle ABC \cong \angle ABD

When the sign \cong is used, it means congruence

In other words;

ABC and ABD are congruent

Hence, the missing statement at step 8 is: Definition of <em>Congruent angles.</em>

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a salon owner noted what types of services its clients requested last week. Here are the results. 5% dye only, 30% haircut and d
soldi70 [24.7K]

Answer:

2/3

Step-by-step explanation:

So we have 10%+5%=15% of clients under the condition "permanent", and we can find the probability that a client in that group requested a haircut:

P(haircut | permanent)=10%/15%=2/3

​

3 0
2 years ago
Dustin bought a $2000 computer with a credit card.The minimum payment each month is $35.Each month 1% of the unpaid balance is a
yuradex [85]
2nd month: (2000 - 35) 1.01 = 1984.65

3rd month: (1984.65 - 35) 1.01 = 1969.15

4 0
2 years ago
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Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a l
Bumek [7]

Answer:

Well, I think the answers are:

For Sylvia's line:

is not

is not close enough to all the data's points

For Patrick:

is not

does not fit the data point's exactly

Step-by-step explanation:

Refer to the pictures below to help you.

I do not know if I am correct, but if I am please let me know!

4 0
2 years ago
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The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
andrezito [222]

Answer:

a) Null hypothesis:p \leq 0.113  

Alternative hypothesis:p > 0.113  

b) z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.13 -0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}}=1.074  

The p value for this case would be given by:

p_v =P(z>1.074)=0.141  

c) For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%

Step-by-step explanation:

Information given

n=400 represent the random sample taken

X=52 represent the  workers belonged to unions

\hat p=\frac{52}{400}=0.13 estimated proportion of workers belonged to unions

p_o=0.113 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

Part a

We want to test if the true proportion of interest is higher than 0.113 so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.113  

Alternative hypothesis:p > 0.113  

Part b

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.13 -0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}}=1.074  

The p value for this case would be given by:

p_v =P(z>1.074)=0.141  

Part c

For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%

8 0
2 years ago
A twizzler factory makes regular 8in, king size 10in, extra long 16in, and snack size 3in twizzlers. Before packaging the candy,
serious [3.7K]

Answer:

Step-by-step explanation:

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8 0
2 years ago
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