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Ber [7]
3 years ago
15

In a sample of 800 U.S.​ adults, 219 think that most celebrities are good role models. Two U.S. adults are selected from this sa

mple without replacement.
Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

Step-by-step explanation:

A.

P=(219/800)×(218/799)≈0.0747≈0.075

B.

800-219=581

P=(581/800)×(580/799)≈0.527

c.

P( 1 think role models  and one thinks not role models)+P(both thinks they are role models)=(219/800)×(581/799)+(219/800)×(218/799)=(219×581+219×218)/(800×799)

=[219(581+218)]/(800×799)

=(219×799)/(800×799)

=219/800

=0.27375

=0.274

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paula sold 45 packages of wrapping paper for the school fundraiser. This 3 less than twice the number of packages that she sold
insens350 [35]

Equation : 2x - 3 = 45

Paula sold 24 packages last year

Step-by-step explanation:

<u>DATA:</u>

Number of packages Paula sold this year = 45 packages

This year's packages are 3 less than twice the number of packages sold last year.

  • 3 less than = -3
  • Twice the number of packages sold last year

Let's assume the number of packages sold last year to be x

2x

Equation:

2x - 3 = 45

<u>Solution:</u>

2x - 3 = 45

2x = 48

x = 24

Therefore, Paula sold 24 packages last year.

Keyword: equation

Learn more about equation at

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3 years ago
Write the equation of the line that passes through the points (1,9) and (-1,1). Put
SpyIntel [72]

Answer:

Point slope form

                 y - 9 = 4(x-1)

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the points are (1,9) and (-1,1)

slope of the line

                m = \frac{y_{2}-y_{1}  }{x_{2} - x_{1} }

               m = \frac{1-9}{-1-1}

             m = 4

<u><em>step(ii):-</em></u>

Equation of the straight line passing through the point (1,9) and slope 'm' = 4

                     y-y₁ = m( x-x₁)

                   y - 9 = 4(x-1)

                  y -9 = 4x-4

           4 x - y -4+9 =0

          4 x - y +5=0

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0

7 0
2 years ago
The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If only 1.07% of the systems a
spin [16.1K]

Answer:800

Step-by-step explanation:

Mean(\mu )=\$ 4300

and P(X>6140)=0.0107

P(X>x_0)=0.0107

P\left ( \frac{X-\mu }{\sigma}

P\left ( z

\frac{x-\mu }{\sigma}=InvNormal(0.9893)

Using Z table to get InvNormal(0.9893)=2.30

\frac{6140-4300}{\sigma}=2.30

\sigma =\frac{6140-4300}{2.30}=800

7 0
3 years ago
Read 2 more answers
Select the number that is the same as 29%.
vlada-n [284]

1/29 or 29/100 would be your awnser


5 0
3 years ago
In a recent year, 31.6% of all registered doctors were female. If there were 53,000 female registered doctors that year, what wa
Naily [24]

Answer:

The total number of registered doctors was 167,722.

Step-by-step explanation:

Total number of doctors:

The total number of doctors is given by x.

31.6% of all registered doctors were female. 53,000 female doctors.

This means that:

0.316x = 53000

What was the total number of registered doctors?

We have to solve the above equation for x. So

x = \frac{53000}{0.316}

x = 167722

The total number of registered doctors was 167,722.

6 0
3 years ago
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