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algol [13]
3 years ago
10

Your friend multiplied complex numbers and expressions as shown. Find the error in your friends work. Then factor the expression

correctly. Show work please.
(4-7i)(4+7i)=16+28i-28i+49i^2
=16-49
=-33
Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

  = 16+49 = 65

Step-by-step explanation:

The error is at the end of the first line. (-7i)(7i) = -49i² ≠ +49i².

The correct work is ...

  (4-7i)(4+7i)=16+28i-28i-49i^2

  = 16+49

  = 65

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In an experiment, some diseased mice were randomly divided into two groups. One group was given an experimental drug, and one wa
damaskus [11]

Answer:

D)Yes, because the difference in the means in the actual experiment was more than two standard deviations from 0.

Step-by-step explanation:

We will test the hypothesis on the difference between means.

We have a sample 1 with mean M1=18.2 (drug group) and a sample 2 with mean M2=15.9 (no-drug group).

Then, the difference between means is:

M_d=M_1-M_2=18.2-15.9=2.3

If the standard deviation of the differences of the sample means of the two groups was 1.1 days, the t-statistic can be calculated as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{2.3-(0)}{1.1}=2.09

The critical value for a two tailed test with confidence of 95% (level of significance of 0.05) is t=z=1.96, assuming a large sample.

This is approximately 2 standards deviation (z=2).

The test statistict=2.09 is bigger than the critical value and lies in the rejection region, so the effect is significant. The null hypothesis would be rejected: the difference between means is significant.

4 0
3 years ago
From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from t
Igoryamba

Answer:

9470m above the sea level.

Step-by-step explanation:

5 0
2 years ago
A 25 kg rock , is raised to the top of a hill 10 m high. What is the PE of the rock ?
nexus9112 [7]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Potential  \:  \: Energy =(mass) \times (gravity \: acceleration) \times (height) \\

_________________________________

If gravity acceleration is 10 :

PE = 25 \times 10 \times 10

PE = 2500

_________________________________

If gravity acceleration is 9.8 :

PE = 25 \times 9.8 \times 10

PE = 25 \times 98

PE = 2450

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3 0
2 years ago
68. If Fran can only pay $250 per month, what is the most expensive boat she can buy without a down payment?
damaskus [11]

Answer:

If she buys a boat without a down payment, then the affordable price is 5,700.

Step-by-step explanation:

Her bank charges 5% interest per year.

Let, payment = p,

p = 250(\frac{1-(1+\frac{0.05}{12})^-24}{\frac{0.05}{12}})

p = 5698.47

After round off p = 5700

3 0
3 years ago
Need help pleaseee i have a test on friday
larisa [96]

Answer:

x = 8

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{4}{x} = \frac{1}{2} ( cross- multiply )

x = 8

5 0
3 years ago
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