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Oksi-84 [34.3K]
2 years ago
6

(c) Assume this is a simple random sample of U.S. women. Use the Empirical Method to estimate the probability that a woman has m

ore than six children. Round your answer to four decimal places.

Mathematics
1 answer:
ella [17]2 years ago
6 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

p(X> 6 ) = 0.01132 + 0.01672 = 0.0280

           

Step-by-step explanation:

The probability that the US woman would have more than six children is equal to the probability that she would have children that are equal to 7 or that she would that she would have children equal to 8 or more as shown on the table in the question

Now representing this mathematically we have

                     p(X > 6) = p(x =7 ) + p(x = 8 or more)

    From the table the p(x = 7 ) = \frac{523}{46165} = 0.01132

     And the p(x= 8 or more ) = \frac{772}{46165} = 0.01672

Hence  p(X> 6 ) = 0.01132 + 0.01672 = 0.0280

           

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1. In a batch of 10 items, we wish to extract a sample of 3 without replacement. How many
svetlana [45]

Answer:

1) 120

2) E (Z) = 12 and Variance of Z = 90

a) 5 liters

Step-by-step explanation:

1. We can find this by suing combinations.

Here n= 10 and r= 3 so n C r

= 10 C 3= 120

2. E(X) = 8 and E(Y) = 3

Z = 2X - 3Y +5

E(Z ) = 2 E (X) - 3(E)(Y) +5   ( applying property for mean)

       = 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12

V(X) = 9 and V(Y) = 6.

V(Z) = E(Z )²-  V(X) *V(Y)   (applying property for Variance for two variables )

        = 144- 54= 90

3. 55 liters contain adulterated milk in 7: 4.

So it contains 4/ 11*55= 20 liters of water

But we want to make it a ratio of 7:6

the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water

So 25- 20 = 5 liters must be added to make it a ratio of 7:6

6 0
2 years ago
Factor completely.<br> ​ <br> 18b−32<br> ​<br> Enter your answer in the boxes.<br><br> ___(___)
Kamila [148]
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
5 0
2 years ago
Read 2 more answers
5. Whitney deposits $9,000 for 2 years. She compares two different banks. State
Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

A=P(1+r)^t

And, amount formula in continuously,

A=Pe^{rt},

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

A=9000e^{0.0201\times 2} = \$ 9369.171

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

5 0
2 years ago
Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse? 7 cm cm 14 cm cm
Mashutka [201]
Check the picture below.

8 0
2 years ago
Read 2 more answers
A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The
svetoff [14.1K]
Because he needs less than (note that he didn't say he needs no more than) 6 pounds, first inequality is C) x+y<6

Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient. If we multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.

Because he says that he wants that mixture costs no more than 30 that means that it costs less than 30 but 30 can be the answer as well.

The last answer is E)  7x + 5y \leq 30
8 0
2 years ago
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