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Dahasolnce [82]
3 years ago
9

Find the 78th term of the arithmetic sequence –4,-2,0,...

Mathematics
1 answer:
MArishka [77]3 years ago
8 0

The number is increasing by 2 every time.

78 x 2 = 156

-4 + 156 = 152

The 78th term is 152

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If 90 is in 80% of value,what is that value
babunello [35]

Answer:

112.5

Step-by-step explanation:

\frac{90}{?} =\frac{80}{100}

you would then cross multiply. 90 x 100 and 80 x ?

you will then have 9000 = 80?

divide 9000 by 80 and you will get ? = 112.5

♥

7 0
4 years ago
Read 2 more answers
You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if
oksian1 [2.3K]

Answer:  The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the  winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)=\dfrac{1}{4}=0.25

You win $6; if the faces are both heads

then P(Y=6)=P(HH)=\dfrac{1}{4}=0.25

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)=\dfrac{2}{4}=0.50

The expected value to win : E(Y)=\sum_{i=1}^{i=3} y_ip(y_1)

=1\times0.25+6\times0.25+(-3)\times0.50=0.25

Hence, the mean of Y : E(Y)= $0.25

E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25

Variance = E[Y^2]-E(Y)^2

=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19

Hence, variance of Y = $ 6.19

6 0
4 years ago
Question 4 (3 points)<br> It take Andre 4 minutes to swim 5 laps.How many minutes per lap is that?
JulsSmile [24]

Answer:

0.8 minutes

Step-by-step explanation:

4 0
3 years ago
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The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, d
Pepsi [2]

Answer:

The closest to the maximum profit is  x = \$ 83682

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu  =  \$66,000

   The standard deviation is  \sigma  = \$ 21000

   The percentage of profit is  20%

Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated  as follows

     P(X >  x ) =  0.20

=>  P(X >  x ) = P(\frac{X -x}{\sigma }  >  \frac{x -66000}{21000} ) =  0.20

From the z-table  the z-score for  0.20  is  

    z-score =  0.842

So

     \frac{x -66000}{21000}  = 0.842

=>   x = \$ 83682

4 0
4 years ago
What should i do now please help me<br><br><br>​
m_a_m_a [10]

Answer:

x=24

Step-by-step explanation:

Here, you need to make proportion and find x.

12:16=18:x

We multiply 12 by x and 16 by 18:

12x=288

Divide by 12 both sides :

x=24

6 0
4 years ago
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