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Liono4ka [1.6K]
3 years ago
6

A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 95% sure that he

r estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?
Z D/2 = 1.96
Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

The sample size is 183.

Step-by-step explanation:

Given:

σ = $1050, ppulatin standard deviation

99% confidence interval

Accuracy = +/- $200

The accuracy is given by

z*(σ/√n)

where

z* = 2.576 for 99% confidence level (from tables)

n = sample size

Therefore

2.576(1050/√n) = 200

√n = (2.576*1050)/200 = 13.524

n = 182.9

<em>The sample size is 183</em>

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Which equation correctly applies the distributive property?
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Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Distributive law is defined as

a\times (b+c+d)=a\times b+a\times c+a\times d

According to option'A', we get that

a =- 3

b = 6

c = 0.4

d = 0.08

So, it becomes,

-3\times (6.48)=-3\times 6+(-3)\times 0.4+(-3)\times 0.08

Hence, option 'A' is correct.

8 0
3 years ago
George has a triangle-shaped garden in his backyard.He drew a model of this garden on a coordinate grid with vertices A(4,2), B(
mafiozo [28]
A= (2,1)
B=(1,2)
C=(3,2)
3 0
3 years ago
Read 2 more answers
Miguel has at least $250 in his savings account. Which inequality represents this situation? A. m &lt; 250, B. m &gt; 250, C. m
Bess [88]
At least would indicate that Miguel’s amount is greater than or equal to. At least indicates an amount equal to but also larger than the quantity specified. If it were at most, then we would use less than or equal to. Therefore, choose the one with greater than or equal to 250.
7 0
3 years ago
A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate,
Dmitriy789 [7]

Answer: 7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

f(x) = 100(1.25)^x

500= 100(1.25)^x

Solving for x (number of months)

500/100 = 1.25^x

5 = 1.25^x

log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.  

8 0
3 years ago
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UkoKoshka [18]

Answer:

Option C.

Step-by-step explanation:

The given given sequence is

1, –3, 2, 5, –4, –6

We need to find the pairs of consecutive terms of the sequence and their product.

Pairs of consecutive terms | Product

     1, -3                                  -3

     -3, 2                                  -6

      2, 5                                  10

      5, -4                                -20

     -4, -6                                 24

Here the product of three pairs of consecutive terms is negative.

The number of variations in sign for the sequence is 3. Therefore, the correct option is C.

3 0
3 years ago
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