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solmaris [256]
3 years ago
13

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. A

ssuming a binomial distribution, if 6 graduates are selected at random, what is the probability that none of the graduates have a summer job
Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

0.0467 is the probability that none of the graduates have a summer job

Step-by-step explanation:

Here

P = 0.40 and n = 6

Probability that none of the graduate gets job

this means that x = 0

P (x = 0) = ^6C_0 * (0.40)^0 *  (0.60)^6

P (x = 0) = 0.0467

You might be interested in
A.if all 110 million households spent the same additional dollars on appliances, electronics, and furniture as the sample 30,000
Afina-wow [57]

Answer:

Step-by-step explanation:

B. 10010 million

C. 100100

6 0
3 years ago
TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and
slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of  length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X<x) = 0.99

We have to find the value of x such that the probability is 0.99

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 50}{5})=0.99  

Calculation the value from standard normal table, we have,  

P(z

\displaystyle\frac{x - 50}{5} = 2.326\\x = 61.63  

Thus, 99% of newborn babies will have a length of 61.63 cm or less.

There is a safety margin of 15 cm on each end of the bassinet

Length of bassinet =

61+63 + 15 +15 = 91.63\text{ cm}

6 0
3 years ago
Jo and Pete have collected some aluminum cans to be recycled. Pete has 47 pounds of cans and Jo has 52 pounds. They can get $0.2
Ksenya-84 [330]

Answer:

Step-by-step explanation:

Total weight of aluminum cans that Pete collected for recycling is 47 pounds.

Total weight of aluminum cans that Jo collected for recycling is 52 pounds.

They can get $0.21 per pound for the cans. Therefore,

The total amount that Pete will get for collecting 47 pounds of aluminum would be

0.21 × 47 = $9.87

The total amount that Jo will get for collecting 52 pounds of aluminum would be

0.21 × 52 = $10.92

The total amount of money that they would get is

9.87 + 10.92 = $20.79

3 0
3 years ago
Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu.Assume that the
worty [1.4K]

Answer:

<em>95% confidence interval for the true mean cholesterol content of all such eggs.</em>

<em>(173.8175 , 196.1825)</em>

Step-by-step explanation:

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

<em>Given mean of the sample  x⁻ = 185 milligrams</em>

<em>Given standard deviation of the sample 'S' = 17.6 milligrams</em>

<em>Level of significance </em>

<em>                  ∝ = 0.05</em>

t_({\frac{\alpha }{2} , n-1 }) = t_{0.025 ,11} =  2.2010

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

95% confidence interval for the true mean cholesterol content of all such eggs.

(x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })

(185 - 2.2010 \frac{17.6}{\sqrt{12} } , 185 + 2.2010 \frac{17.6}{\sqrt{12} })

( 185 - 11.1825 , 185 + 11.1825)

(173.8175 , 196.1825)

<u><em>Final answer:-</em></u>

<em>95% confidence interval for the true mean cholesterol content of all such eggs.</em>

<em>(173.8175 , 196.1825)</em>

<u><em></em></u>

3 0
3 years ago
Solve for the missing arc measure, angle measure, or variable.
Anastaziya [24]

Answer:

110

Step-by-step explanation:

The answer is 110 degrees. The reason is hard to put into simple language.

If the central angle and the acute angle hitting the circumference share the same end points, then the central angle is double the arc whose vertex is on the circumference.

Read that sentence a couple of times. I don't know how to make it simpler.

The arc angle and the central angle both have B and C as their end points.

The arc angle is on the circumference of the circle. The vertex (A) of BAC is on the circumference. If mine is the only answer, wait a few days before awarding a Brainliest. A thanks will do.

6 0
3 years ago
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