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Dennis_Churaev [7]
3 years ago
9

An institute surveyed small business owners across a state that employed 50 or fewer employees. The purpose of the study was to

gain insight on the current small business​ health-care environment. Small business owners were asked if they offered​health-care plans to their employees and if​ so, what portion​ (%) of the employee monthly​ health-care premium the business paid. The accompanying frequency distribution was formed to summarize the portion of premium paid for 87 small businesses who offer​health-care plans to employees. Complete parts​ (a) through​(c).
Portion of Premium Paid (%) Frequency
less than 1% 3
1% but less than 26% 3
26% but less than 51% 14
51% but less than 76% 23
76% but less than 100%

22
100% 22
A. What percentage of small businesses pays less than 26% of the employee monthly health care premium? __% (round to two decimal places as needed)

B. What percentage of small businesses pays less than 26% and 75% of the employee monthly health care premium? __% (round to two decimal places as needed)

C. What percentage of small businesses pays less than 75% of the employee monthly health care premium? __% (round to two decimal places as needed)
Mathematics
1 answer:
oee [108]3 years ago
4 0

Answer:

6.90%; 42.53%; 50.57%

Step-by-step explanation:

a) To determine the percentage of small business that pays less than 26%;

= (3+3/3+3+14+23+22+2)×100%

=6/87 × 100%

=6.89655%

Approximately 6.90%

b) That pay between 26% and 75%

=14+23/87 ×100%

=42.53%

c) That pay more than 75%

=22+22/87 ×100%

=50.57%

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Which fraction is equivalent to 50%? (in simplest fraction form) A) 1 2 B) 1 4 C) 2 5 D) 4 5
Tatiana [17]

Answer:

1/2 is equivalent to 50%

Step-by-step explanation:

In order to convert a fraction to a percentage you divide the numerator (Top number of a fraction) by the denominator (Bottom number of a fraction), multiply by 100, and add a percentage sign.

So lets try that with our first answer option A) 1/2:

1 divided by 2 = 0.5

0.5 x 100 = 50

50%

So we know that 1/2 is equivalent to 50%

8 0
3 years ago
Which equation is y = â€""6x2 3x 2 rewritten in vertex form?.
Ber [7]

The vertex form needed is :

-6(x-0.25)^2 +2.375

Given the equation:

-6x^2 + 3x + 2\\

The vertex form of f(x) = ax^2 + b(x) + c is given by:

f(x) = a(x-h)^2 + k

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\

This is the resultant vertex form.

Thus the vertex form needed is :

-6(x-0.25)^2 +2.375

Learn more here:

brainly.com/question/15165354

6 0
3 years ago
Find all polar coordinates of point P where P = ordered pair 3 comma negative pi divided by 3 .
jek_recluse [69]

Answer:

The all polar coordinates of P are:

(3 , -π/3) , (3 , 5π/3) , (-3 , 2π/3) , (-3 , -4π/3)

Step-by-step explanation:

* Lets study the polar coordinates of a point

- In polar coordinates there is an infinite number of coordinates

 for a given point.

- The polar coordinates of a point (x , y) is (r , θ), where

  r = √ ( x2 + y2 )

  θ = tan-1 ( y / x )

# Ex: the following four points are all coordinates for the same point.

* (5 , π/3) = (5 , −5π/3) = (−5 , 4π/3) =(−5 , −2π/3)

- These four points only represent the coordinates of the point without  

  rotating more than once

- So the point (r,θ) can be represented by any of the following

  coordinate pairs  (r , θ + 2π n) and (−r , θ + (2n + 1) π), where n is

  any integer.

* Now lets solve the problem

∵ P = (3 , -π/3)

∵ (r , θ + 2πn)

∴ r = 3 an d Ф = -π/3

- let n = 1

∴ P = (3 , -π/3 + 2π)

∴ P = (3 , 5π/3)

∵ P =(3 , -π/3)

∵ P = (-r , θ + (2n + 1) π)

Let n = 0

∴ P = (-3 , -π/3 + (2×0 + 1) π)

∴ P = (-3 , -π/3 + (0 + 1) π)

∴ P = (-3 , -π/3 + π)

∴ P = (-3 , 2π/3)

∵ P =(3 , -π/3)

∵ P = (-r , θ + (2n + 1) π)

Let n = -1

∴ P = (-3 , -π/3 + (2(-1) + 1) π)

∴ P = (-3 , -π/3 + (-2 + 1) π)

∴ P = (-3 , -π/3 + -π) = (-3 , -4π/3)

∴ P = (-3 , -4π/3)

5 0
3 years ago
(07.03)
Sloan [31]
The answer would be log base 2 of 6 over log base 2 of 3

8 0
4 years ago
Read 2 more answers
A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s
RoseWind [281]

Answer:

There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).

The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

4 0
4 years ago
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