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Shtirlitz [24]
3 years ago
11

Simplify the given expression below: (7-3i)•(2-i)

Mathematics
1 answer:
Dimas [21]3 years ago
5 0

when multiplying two binomials together we use the F.O.I.L. method:

First

Outer

Inner

Last

(7-3i)(2-i)

First: 7 * 2 ..... Outter: 7 * -i .... Inner: -3i * 2 ...... Last: -3i * -i

First: 14 ...... Outter= -7i ..... Inner: -6i .... Last: 3i^2

putting this together we get 14-7i-6i+2i^2

We combine like terms and end up with 2i^2-13i+14

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drug sniffing dogs must be 95% accurate in their responses because their handlers don't want them to miss durgs and also don't w
GenaCL600 [577]

Answer:

95% Confidence interval:  (0.8449,0.9951)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Number of times the dog is right, x = 46

\hat{p} = \dfrac{x}{n} = \dfrac{46}{50} = 0.92

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.92 \pm 1.96(\sqrt{\dfrac{0.92(1-0.92)}{50}})\\\\ = 0.92\pm 0.0751\\\\=(0.8449,0.9951)

(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.

7 0
3 years ago
What is 3/5 ÷ 1/2? please help
Fynjy0 [20]
3/5 ÷ 1/2 step 1: keep change flip Step 2: 3/5×2/1 step 3: solve 3/5 ×2/1= 6/5 in the simplified form it is 1 1/5
4 0
3 years ago
A local grocery store conducted a random survey on the types of yogurt customers bought. The chart shows the survey results. Bas
elena-s [515]

The chart relating to the question can be found in the picture attached below :

Answer:

40%

Step-by-step explanation:

Yoghurt __________ No of responses

Low Fat ___________ 15

Greek_____________24

Whipped __________ 10

Regular ___________ 11

Total number of responses :

(15 + 24 + 10 + 11) = 60

Number of  responses for Greek yogurts = 24

Percentage % :

(Greek Yoghurt responses / total responses) * 100%

= (24 / 60) * 100%

= 0.4 * 100%

= 40%

4 0
3 years ago
What is the coefficient of the term of degree 4 in this polynomial 4x^8+5x^4-2x^3+
eduard

5Answer:

Step-by-step explanation:

sorry if this is wrong

8 0
3 years ago
A 6-pack of juice boxes contains 49.2 oz of juice in total. About how many ounces of juice does each juice box contain? 0.8 oz,
kykrilka [37]
Divide 49.2 by 6 to get 8.2, which is about 8
6 0
3 years ago
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