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lyudmila [28]
3 years ago
5

8w-8= - 4w + 16 answers please

Mathematics
2 answers:
Rasek [7]3 years ago
6 0
8w+ 4w=16+18
12=16+18
12=24
Divide
W=2
Andrew [12]3 years ago
3 0

Answer:

2

Step-by-step explanation:

8w-8=-4w+16

8w-(-4w)-8=16

8w+4w=16+8

12w=24

w=24/12

w=2

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A fair die is rolled 10 times. Find the expected value of:a) the sum of the numbers in the ten rolls;b) the number of multiples
velikii [3]

Answer:

a) 3.5

b) 3.33

c) 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}

Step-by-step explanation:

As given,

A fair die is rolled 10 times

a)

Expected value of Sum of the number in 10 rolls = \frac{1}{6}(1+2+3+4+5+6) = \frac{21}{6}

                                                                                = 3.5

∴ we get

Expected value of Sum of the number in 10 rolls = 3.5

b)

Ley Y : number of multiples of 3

Y be Binomial

Y - B(n = 10, p = \frac{2}{6} )

Now,

Expected value = E(Y) = np = 10×\frac{2}{6}  = 3.33

c)

Let m = total number of faces in a die

⇒m = 6

As die is roll 10 times

⇒n = 10

Now,

Let Y = number of different faces appears

Now,

Expected value, E(Y) = m - m\left(\begin{array}{ccc}m-1\\m\end{array}\right)^{n}

                                  = 6 - 6\left(\begin{array}{ccc}6-1\\6\end{array}\right)^{10} = 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}

5 0
3 years ago
Fourth grade level. Use mental math to find 7x53
Mrrafil [7]

Answer:

371


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
2 balls can complete a full rotation in 120 min. How many balls can complete a full rotation in 180 min
riadik2000 [5.3K]
Its 3, because each ball is 60 min each and 60 times 3 would get you 180
6 0
3 years ago
A medical company tested a new drug on 100 people for possible side
Harlamova29_29 [7]

Answer:

A

Step-by-step explanation:

As each person counts as 0.02 since theres 50 people in each, A has the correct conclusion and probability count of 0.12 (adult) and 0.40 (child)

6 0
3 years ago
Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0
3 years ago
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