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nekit [7.7K]
2 years ago
10

Answer to the question

Mathematics
1 answer:
torisob [31]2 years ago
5 0

Answer:

b. DC = 29 and DE = 44.5

Step-by-step explanation:

Given:

AB = 29

BD = 89

Required:

DC and DE

Solution:

✔️DC = AB (opposite sides of a parallelogram are equal)

Therefore,

DC = 29 (Substitution)

✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)

DE = ½(89)

DE = 44.5

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One way to solve the system is to _____________ a variable.
Ivahew [28]

One way to solve the system is to <u>substitute</u> a variable.

<u>Explanation:</u>

One approach to solve an equation is by substitution of one variable. Right now, a condition for one factor, at that point substitute that arrangement in the other condition, and explain. All value(s) of the variable(s) that fulfills a condition, disparity, arrangement of conditions, or arrangement of imbalances.

The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.

8 0
3 years ago
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Home Videos Inc. surveys 450 households and finds that the mean amount spent for renting or buying videos is P135 a month and th
adell [148]

SOLUTION:

Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}

Step 2: T-test analysis

\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}

Step 3: t-test with the significance level

\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}

Step 4: Comparing

t>t_{\alpha}

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

6 0
1 year ago
Marcellus sent four faxes to Gem. The first fax took 14 seconds to send, the second fax 19 seconds, the third 16 seconds, and th
Scrat [10]

It took 60 seconds to fax all documents to Gem

Step-by-step explanation:

The simple addition has to be done to solve the given problem

Given

total faxes = 4

Time for fax 1: t_1 = 14\ sec

Time for fax 2: t_2 = 19\ sec

Time for fax 3: t_3 = 16\ sec

Time for fax 4: t_4 = 11\ sec

The total time t will be:

t = t_1+t_2+t_3+t_4\\= 14+19+16+11\\= 60\ sec

Hence,

It took 60 seconds to fax all documents to Gem

Keywords: Time, addition

Learn more about addition at:

  • brainly.com/question/9231234
  • brainly.com/question/9214411

#LearnwithBrainly

8 0
2 years ago
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Please help me on this
emmainna [20.7K]
I got 1/81

hope this helps.
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2 years ago
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An engineer scale model shows a building that is 3 inches tall. If the scale is 1 inch = 600 feet, how tall is the actual buildi
Sever21 [200]

The actual height of building is 1800 feet.

Step-by-step explanation:

Given,

Height of building in model = 3 inches

Scale used by engineer;

1 inch = 600 feet

Therefore;

Actual height of building = Height in model * Scale used

Actual height of building = 3 * 600

Actual height of building = 1800 feet

The actual height of building is 1800 feet.

8 0
3 years ago
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