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3 years ago

Simplify (7-6t)+(8-3i)

2 answers:

8 0

Use the power rule
a
m
a
n
=
a
m
+
n
a
m
a
n
=
a
m
+
n
to combine exponents.
−
56
+
21
i
+
48
i
−
18
i
1
+
1
-
56
+
21
i
+
48
i
-
18
i
1
+
1
Add
1
1
and
1
1
to get
2
2
.
−
56
+
21
i
+
48
i
−
18
i
2
-
56
+
21
i
+
48
i
-
18
i
2
Rewrite
i
2
i
2
as
−
1
-
1
.
−
56
+
21
i
+
48
i
−
18
⋅
−
1
-
56
+
21
i
+
48
i
-
18
⋅
-
1
Multiply
−
18
-
18
by
−
1
-
1
to get
18
18
.
−
56
+
21
i
+
48
i
+
18
-
56
+
21
i
+
48
i
+
18
Add
−
56
-
56
and
18
18
to get
−
38
-
38
.
−
38
+
21
i
+
48
i
-
38
+
21
i
+
48
i
Add
21
i
21
i
and
48
i
48
i
to get
69
i
69
i
.
−

tatiyna3 years ago

4 0

<span>Solution) i = {2.666666667, 1.166666667}

</span>

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A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is

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A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=0)=\dfrac{1}{4} = 0.25$

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=1)=\dfrac{2}{4} = 0.25$

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability=\dfrac{1}{4} = 0.25$

Now, if we draw the table of the data and the probability we will get the following table,

x P(X)

0 0.25

1 0.50

2 0.25

Hence, the table that is correct is table A, which is A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

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2 years ago

HELP!! I HAVE THE ANSWERS I Just NEED TO SHOW THE WORK!!

tino4ka555 [31]

Answer:

8 times 5 on each side

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

According to the U.S. Bureau of Labor Statistics, 20% of all people 16 years of age or older do volunteer work. In this age grou

Murljashka [212]

Answer:

1. P(X≥35) = 0.0183

2. P(X≤21) = 0.0183

3. P(0.18<p<0.25) = 0.7915

Step-by-step explanation:

We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.

1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.

This is equivalent to a proportion of

$p=X/n=35/140=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.22*0.78}{300}}\\\\\\ \sigma_p=\sqrt{0.0006}=0.0239$

We calculate the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.25-0.22}{0.0239}=\dfrac{0.03}{0.0239}=0.8198$

Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:

$P(X>35)=P(p>0.25)=P(z>2.0906)=0.0183$

2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.

The proportion is now:

$p=X/n=21/140=0.15$

We can calculate then the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.15-0.2}{0.0239}=\dfrac{-0.05}{0.0239}=-2.0906$

Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:

$P(X$

3. For the sample with men and women, we use the proportion for both, which is π=0.2.

The sample size is n=300.

Then, the standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{300}}\\\\\\ \sigma_p=\sqrt{0.0005}=0.0231$

We can calculate the z-scores for p1=0.18 and p2=0.25:

$z_1=\dfrac{p_1-\pi}{\sigma_p}=\dfrac{0.18-0.2}{0.0231}=\dfrac{-0.02}{0.0231}=-0.8660\\\\\\z_2=\dfrac{p_2-\pi}{\sigma_p}=\dfrac{0.25-0.2}{0.0231}=\dfrac{0.05}{0.0231}=2.1651$

We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as:

$P=P(0.18$

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4 years ago

In △ABC , point R is between points A and B, point T is between points B and C, and RT¯¯¯¯¯∥AC¯¯¯¯¯ . AR=21 cm , AB=37 cm , and

Ostrovityanka [42]

Answer:

Step-by-step explanation:

Took the test

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3 years ago

Trevon invests $1650.00 into an account that earns 2% annual interest rate compounded continuously. Assuming no other withdrawal

Sergeu [11.5K]

Answer:

1914

Step-by-step explanation:

interest for one year = 33

interest of 8 years = 264

1650+264 will be in the account in 8 years.

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1 year ago