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Irina18 [472]
3 years ago
7

Solve x2 – 12x + 36 = 90 for x.

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

A: x= 6+3 squareroot 10 ... Its letter A

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On a biased dice , the probability of getting a 6 is 4/5. The dice is rolled 500 times. How many sixes would you expect to roll?
tatyana61 [14]

Find 4/5 of 500.

4/5*500=400

You will roll 400 sixes.

5 0
3 years ago
A student creates a table of the equation y = 5x + 8. The student begins the table as shown below. Which shows the correct headi
SVEN [57.7K]

Answer:

1

Step-by-step explanation:

Column A=X the first value for x is 1

Column B has the x value replaced in the equation 5x+8. 5(1) + 8

Column C has the result, y=13

3 0
2 years ago
In this particular arithmetic sequence, a8 = 28 and a16 = 108. What is the value of a24?
kap26 [50]
In this sequence d=10. Therefore, a24=188.
5 0
3 years ago
Rachel has developed a plan to start paying off her credit card debt, and has stopped making purchases with her credit card. She
Ann [662]
Present value of annuity PV = P(1 - (1 + r/t)^-nt) / (r/t)
where: p is the monthly payment, r is the APR = 14.12% = 0.1412, t is the number of payments in one year = 12, n is the number of years = 2.
1,120.87 = P(1 - (1 + 0.1412/12)^(-2 x 12)) / (0.1412 / 12)
0.1412(1120.87) = 12P(1 - (1 + 0.1412/12)^-24)
P = 0.1412(1120.87) / 12(1 - (1 + 0.1412/12)^-24) = $53.88

Minimum monthly payment = 3.15% of 1120.87(1 + 0.1412/12) = 0.0315 x 1120.87(1 + 0.1412/12) = $35.72

Therefore, his first payment will be greater than the minimum payment by 53.88 - 35.72 = $18.16
5 0
3 years ago
Read 2 more answers
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

8 0
3 years ago
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