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lara31 [8.8K]
3 years ago
12

Help me solve this problem please

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

(2,5) is right answer ok

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math problem Just before a referendum on a school budget, a local newspaper polls 400 voters in an attempt to predict whether th
Readme [11.4K]

Answer:

The conditions necessary for the analysis are met.

The probability the newspaper’s sample will lead them to predict defeat is 0.7881

Step-by-step explanation:

We are given;

population proportion; μ = 52% = 0.52

Sample size;n = 400

The conditions are;

10% conditon: sample size is less than 10% of the population size

Success or failure condition; np = 400 x 0.52 = 208 and n(1 - p) = 400(1 - 0.52) = 192.

Both values are greater than 10

Randomization condition; we assume that the voters were randomly selected.

So the conditions are met.

Now, the standard deviation is gotten from;

σ = √((p(1 - p)/n)

where;

p is the population proportion

n is the sample size

σ is standard deviation

Thus;

σ = √((0.52(1 - 0.52)/400)

σ = √((0.52(0.48)/400)

σ = 0.025

Now to find the z-value, we'll use;

P(p^ > 0.5) = P(z > (x - μ)/σ)

Thus;

P(p^ > 0.5) = P(z > (0.5 - 0.52)/0.025)

This gives;

P(p^ > 0.5) = P(z > - 0.8)

This gives;

P(p^ > 0.5) = 1 - P(z < -0.8)

From the table attached we have a z value of 0.21186

Thus;

P(p^ > 0.5) = 1 - 0.21186 = 0.7881

Thus, the probability the newspaper’s sample will lead them to predict defeat is 0.7871

8 0
3 years ago
Read 2 more answers
2/5 e +4 = 9 <br><br> Help please
allochka39001 [22]

Answer:

e=12.5 or e=25/2

Step-by-step explanation:

3 0
3 years ago
10 POINTS!!!!!
aliina [53]
Ion know I’m just tryna ask a question
4 0
3 years ago
Two spheres have volumes of 8,cm and 647 cmIf the surface area of the smaller sphere is 16 cm?, what is the surface
Olegator [25]

Answer:

361.7cm²

Step-by-step explanation:

Volume of sphere 1= 8cm³

=

Volume of sphere 2 = 647cm³

But volume of sphere = 4/3πr³

The radius of sphere 2

647 = 4/3πr³

((3*647)/4)/π= r³

5.36544 = r

Surface area = 4πr²

Surface area for the big sphere

= 4π5.36544²

= 361.7cm²

7 0
2 years ago
Evaluate the expression for x = 5, y = 3, and z = 14 . 5x−6y+20z over 4yz Enter your answer in the box.
spin [16.1K]

Hello from  MrBillDoesMath!


Answer:   1 17/24


Steps:

          Evaluate             (5x-6y+20x)/ 4yz when x = 5, y = 3, z = 14


          (5(5) - 6(3) + 20(14))   / 4 (3)(14)          (Substitute in values)

       = (25   - 18    +280)       / 4 (3) (14)         (Evaluate products)

       =  (287) /  4 (3) (14)                                (Evaluate expressions)

      =  287/ 168                                             (4 (3)(14) = 168)

      =  (168  + 119 ) /168                                 287 = 168  + 119

      = (168)/168 + 119/168

      = 1              + 119/168

      = 1  119/168          

       BUT 119 = 17 * 7  (surprise!)  and 168 = 12 * 7 * 2 so answer

    =  1 (17*7)/(12*7*2)

    =  1 (17)/(12*2)                               (Cancel 7's)

    = 1 (17/24)                                    


Regards, MrB    


3 0
3 years ago
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