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frutty [35]
3 years ago
14

Simplify the expression d + 11 - 8d.

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0
11-7d is the answer.
lutik1710 [3]3 years ago
6 0
The answer is -7d+11
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state what additional information is required in order to know that the triangles are congruent by SSS​
Umnica [9.8K]

Answer:  d) DF ≅ JH

<u>Step-by-step explanation:</u>

Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.

Given: EF ≅HI

Given: DE ≅IJ

Missing: DF ≅ JH

4 0
3 years ago
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 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

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
3 years ago
Two sides of an isosceles triangle have lengths of 2 and 12 . What is the length of the third side
SVETLANKA909090 [29]

Answer:

given \: that \: it \: is \: issoscless \: triangl e \\ so \: the \: third \: side \: must \: be \: 2 \\ thank \: you

4 0
3 years ago
What is 1/2 • 2 - 1 =
ozzi

Answer:

0

Step-by-step explanation:

1/2 * 2 is 1. 1 - 1 is 0

Have a great day/night!

8 0
3 years ago
Read 2 more answers
What is the congruence method you will use to show that the triangles are congruent?
kozerog [31]
The answer would be SSS or Side-Side-Side.
4 0
3 years ago
Read 2 more answers
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