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Anon25 [30]
3 years ago
13

AB ≅CD, FA ≅ED

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0
This answer is the SAS therom because you have 2 congruent sides and then you have the perpendicular bisector, which is a right angle
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25 points! pls show work if can!!!!!!!!
Nataliya [291]

Answer: 8.4

Step-by-step explanation:

15-6.6

3 0
3 years ago
Read 2 more answers
Help for 15 points!! AND brainliest answers
Ede4ka [16]

Unit price for smaller bottle = 2.19 / 13.5 = $0.16 per ounce

For larger bottle its 5.37 / 29.2 = $0.18 per ounce

( to the nearest cent).

The better buy is the 13.5 ounce bottle

6 0
3 years ago
There are 8 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittee are
Assoli18 [71]

56 different sub-committees are possible

Step-by-step explanation:

When the selection has to be made without order, combinations are used.

The formula for combination is:

C(n,r) = \frac{n!}{r!(n-r)!}

Here,

Total members = n = 8

Members to be selected = r = 5

So,

C(8,5) = \frac{8!}{5!(8-5)!}\\= \frac{8!}{5!}\\=56\ ways

Hence,

56 different sub-committees are possible

Keywords: Combinations, Selection

Learn more about combinations at:

  • brainly.com/question/4639731
  • brainly.com/question/4655616

#LearnwithBrainly

3 0
3 years ago
Please help ASAP.......
marta [7]

Answer:

The answer is x=10

Step-by-step explanation:

5/6x - 10 = 1/3x -5 multiple both sides by 6

5x - 60 = 2x -30 move the terms

5x - 2x = -30 +60

3x = 30 divide by 3

x = 10

3 0
3 years ago
Last year, a comprehensive report stated that 28% of businesses in the northeast of Ohio were considered highly profitable. This
Alik [6]

Answer:

z=\frac{0.38 -0.28}{\sqrt{\frac{0.28(1-0.28)}{50}}}=1.575  

p_v =2*P(z>1.575)=0.115  

So the p value obtained was a very high value and using the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of businesses were highly profitable is not significantly different from 0.28 or 28%.

Step-by-step explanation:

Data given and notation

n=50 represent the random sample taken

X=19 represent the businesses were highly profitable

\hat p=\frac{19}{50}=0.38 estimated proportion of businesses were highly profitable

p_o=0.28 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 (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of businesses were highly profitable is different from 0.28 or no, the system of hypothesis is.:  

Null hypothesis:p=0.28  

Alternative hypothesis:p \neq 0.28  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.38 -0.28}{\sqrt{\frac{0.28(1-0.28)}{50}}}=1.575  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>1.575)=0.115  

So the p value obtained was a very high value and using the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of businesses were highly profitable is not significantly different from 0.28 or 28%.

4 0
4 years ago
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