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NemiM [27]
4 years ago
12

Blackjack is a popular card game or cards are assigned various point values. Face cards and tens are the only cards worth 10 poi

nts. Each round begins with the player being dealt two cards. The table below is a partially completed probability distribution for the random variable Y, where Y is the number of 10 point cards a player gets at the beginning of a round. Find the missing probability in the table for P(0).

Mathematics
2 answers:
sweet-ann [11.9K]4 years ago
8 0

Answer:

.435

Step-by-step explanation:

Lubov Fominskaja [6]4 years ago
3 0

Answer:

.475

Step-by-step explanation:

Your end goal is to get all three distributions to equal to 1.

.435 + .09 = .525

Subtract that from 1 and you will get .475

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Jimmy invest $16,000 in an account that pays 7.03% compounded quarterly. How long (in years and months) will it take for his inv
Vladimir [108]
To solve this we are going to use the compound interest formula A=P(1+ \frac{r}{n})^{nt}
where:
P is the investment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the time in years
A is the amount after t years 

First, lets convert the interest rate to decimal dividing it by 100%:
r= \frac{7.03}{100} =0.0703
Next, lets find n. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded \frac{12}{4} =3 times in a year, so n=4.
We also know that A=23000 and P=16000, so lets replace all the quantities into our compound interest formula:
25000=16000(1+ \frac{0.0703}{3})^{3t}
25000=16000(1.0234)^{3t}

Notice that the the number of years t is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the  exponential expression:
\frac{25000}{16000} =(1.0234)^{3t}
(1.0234)^{3t} = \frac{25}{16}
ln(1.0234)^{3t} =ln( \frac{25}{16} )
t= \frac{ln( \frac{25}{16}) }{3ln(1.0234)}
t=6.43

Now that we know t=6.43, the last thing to do is convert 0.43 years to months:
(0.43 years)( \frac{12months}{1year} )=5.16months

We can conclude that Jimmy's investment will take 6 years and 5 months to reach $25,000.
6 0
3 years ago
Are -4(x+3) and 1/3(18x+36)-10x
vlada-n [284]
They are not equal if thats the question

-4(x+3) = -4x-12

1/3(18x+36)-10x =-4x+12

one has -12 and the other has +12
3 0
3 years ago
Which statements are true regarding the diagram?
Murrr4er [49]

As <GNJ & < JNK form a striaght angle

And < JNK = 90°

So <GNJ = 90°

So <GNH + <HNJ = 90°

So GNH & HNJ are complimentary is true.

As JNK and KNL do not form a straight angle.

So <JNK +< KNL is not equal to 180°.

Hence JNK and KNL are supplementary is not true.

As <KNM & < JNK form a straight angle

And < JNK = 90°

So <KNM = 90°

So <KNL + <LNM = 90°

So KNL & LNM are complimentary is true.

As HNL makes a straight angle

And so

mHNK + mKNL = 180° is true

As MNG itself is 90°

So

<MNG + <GNH cannot be 90° hence this is false.

5 0
3 years ago
Read 2 more answers
I have 2 cupcakes but Jake has 7/4 as many as I do​
ozzi
Jake would have 3.5 (3 and a half cupcakes)

you would do your amount of cupcakes multipled by 7/4 which gets you 3.5!
3 0
3 years ago
mr burns class is taking a field trip to the planetarium. The trip will cost $27 for each student. There are 18 students in his
avanturin [10]
So, 27=30 and 18=20 rounded 

so what you would do now is multiply 30 x 20 and you get $600
3 0
4 years ago
Read 2 more answers
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