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3 years ago

Outcome A B C D Probability 0.5 0.3 ? ? What is the probability of the outcome (not A)? a. 0.3 c. 0.8 b. 0.5 d. 0.15

Mathematics

1 answer:

Margarita [4]3 years ago

5 0

Answer:

0.5

Step-by-step explanation:

the sum of the probabilities of the outcome should equal 1

Probability the outcome is not A = sum of probabilities of the outcome - probability the outcome is A

1 - 0.5 = 0.5

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2 years ago

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Paddy and Anna each invest $2000 for 5 years.

Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = $P(1+rt)$

, where

P= principal value , r= rate of interest , t = time.

Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

$A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125$

Formula to compute compound amount : $P(1+r)^t$

$=2000(1+r)^5$

When both have same worth then

$2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625$

taking log on both sides , we get

$5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%$

Hence, Value of r= 1.22

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3 years ago

Alexa opens a savings account with a starting balance of $10,000. She will not make any additional deposits or withdrawals. The

Mice21 [21]

Answer:

$12,000

Step-by-step explanation:

Use the simple interest formula: P = A(1 + rt)

P = final balance (?)

A = starting balance (10,000)

r = interest rate (0.05)

t = years (4)

P = 10,000(1 + 0.05 · 4)

P = 10,000(1 + 0.2)

P = 10,000(1.2)

P = 12,000

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2 years ago

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Tomtit [17]

The average value over the interval is the area under the curve divided by the width of the interval.

Area = 4*(6 -1) +5(8 -6) = 30
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Average value = 30/7 = 4 2/7

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2 years ago