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djverab
5 days ago
11

Tran flips a coin 4 times. Which is true? Select two answers.

Mathematics
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Equation that equals 69?
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3x23=69 is the equation that has the sum 69
5 0
2 months ago
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In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8. To prove that △DFE ~ △GFH by the SSS similarity theorem using the informat
lawyer [12517]

Answer: C) HF measures 4 units and GH is 2 units.

Step-by-step explanation:

The SSS similarity theorem asserts that triangles are similar if the lengths of their corresponding sides are in proportion.

For triangles ΔDFE and ΔGFH:

DG equals 15, GF is 5, EH equals 12, and DE is 8.

To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:

\frac{DF}{GF}=\frac{FE}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{DG+GF}{GF}=\frac{FH+EH}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{5+15}{5}=\frac{12+HF}{FH}=\frac{8}{GH}\\\\\Rightarrow\frac{20}{5}=\frac{12+HF}{FH}\ and\ \frac{20}{5}=\frac{8}{GH}\\\\\Rightarrrow4HF=12+HF\ and\ GH=\frac{8}{4}\\\\\Rightarrow3HF=12\ and\ GH=2\\\\\Rightarrow HF=4\ and\ GH=2

Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.

5 0
2 months ago
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If an eight-day single payment loan has a periodic interest rate of 11.1%, what is the approximate effective interest rate of th
babunello [11817]
Effective interest rate = Daily interest rate = Annual interest rate/number of days per year

Annual interest rate = 11.1%
Days in a year = 365

Thus,
Effective interest rate = 11.1/365 = 0.03%.
4 0
1 month ago
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Greg builds a new pond which has a volume of 7.35m3, it is 4.2m long and 50cm deep, what is the width of the pond
AnnZ [12381]

The width of the pond is 3.5 meters.

6 0
3 months ago
In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil
tester [12383]

Response:

The likelihood that fewer than 8 of the sampled adults use glasses or contact lenses is 0.4745.

Detailed explanation:

We have the following information:

Considering adults wearing glasses or contact lenses a success.

P(Adults use glasses or contact lenses) = 75% = 0.75

Hence, the number of adults follows a binomial distribution, represented as:

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

with n as total observations, x as successful outcomes, and p as success probability.

For our case, n = 10

We need to calculate:

P(fewer than 8 adults wear glasses or contact lenses)

P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745

0.4745 is the probability of having fewer than 8 of the selected adults utilizing glasses or contact lenses.

4 0
2 months ago
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