How many fifths are there in
8 3/5​

Answer:

The answer is below

Step-by-step explanation:

The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours b) What are the quartiles (the 25% and 75% values) of batterylife? c) c) What value of life in minutes is exceeded with 95% probability? (Roundthe answer to the nearest integer.)

Solution:

The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]

Given μ = 270 minutes, σ = 50 minutes

a)

P(x > 4 hours) = P(x > 240 minutes)

[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{240-270}{50} =-0.6[/tex]

From the distribution table, P(x > 240) = P(z > -0.6) = 1- P(z < 0.6) = 1 - 0.2743 = 0.7257

c)  P(z > z*) = 0.95

1 - P(z < z*) = 0.95

P(z < z*) = 0.05

This corresponds to a z score of -1.645

[tex]z=\frac{x-\mu}{\sigma}\\ \\-1.645=\frac{x-270}{50} \\\\x=187.75 \ minutes[/tex]

For 75%, P(z < z*) = 0.75

This corresponds to a z score of 0.68

[tex]z=\frac{x-\mu}{\sigma}\\ \\0.68=\frac{x-270}{50} \\\\x=304 \ minutes[/tex]

c) For 25%, P(z < z*) = 0.25

This corresponds to a z score of -0.67

[tex]z=\frac{x-\mu}{\sigma}\\ \\-0.67=\frac{x-270}{50} \\\\x=236.5 \ minutes[/tex]

Complete Question

Super Bowl XLVI was played between the New York Giants and the New England Patriots in Indianapolis. Due to a decade-long rivalry between the Patriots and the city’s own team, the Colts, most Indianapolis residents were rooting heartily for the Giants. Suppose that 90% of Indianapolis residents wanted the Giants to beat the Patriots. What is the probability that from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI?

Answer:

The value is  [tex]P(X < 0.95) = 0.95224[/tex]

Step-by-step explanation:

From the question we are told that

  The proportion that wants Giants to win  p = 0.90  

   The sample size is n  =  100

 Generally the mean of this sampling distribution is  

       [tex]\mu_{x} = 0.90[/tex]

Generally the standard deviation is  

      [tex]\sigma = \sqrt{\frac{p(1- p)}{n} }[/tex]

=>   [tex]\sigma = \sqrt{\frac{ 0.90 (1- 0.90)}{100} }[/tex]

=>   [tex]\sigma = 0.03[/tex]

Generally the probability that  from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI is mathematically represented  as

     [tex]P(X < 0.95) = P(\frac{ X - \mu_{x}}{\sigma} < \frac{0.95 -0.90}{0.03} )[/tex]

[tex] \frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

       [tex]P(X < 0.95) = P(Z < 1.667 )[/tex]

=>    [tex]P(X < 0.95) = 0.95224[/tex]

Answer:

$17.70

Step-by-step explanation:

Total money he has - $60

2 pizzas, a brownie = $20.40 + $5.40 = $25.80

A milkshake with $10 tips = $6.50 + $10 = $16.50

Totally = $25.80 + $16.50 = $42.30

Balance - $60 - $42.30 = $17.70

He had $17.70 balance

Hope you understand

:-)

Answer:

10

Step-by-step explanation:

ur welcome

Answer:

10

Step-by-step explanation:

I just took the quiz soooooo yuh hope this helps

Answer:

y= 13/4x - 21

Step-by-step explanation:

What we need to do is find the slope first. We know the slope formula is

y_1 minus y_2/ x_1 minus x_2. I am assuming that one point is (8,5) the other is (4,-8). So when we insert these coordinates into the equation,

[5-(-8)/8-4] we result with 13/4 as the slope. We can now use the slope-intercept form! ( y=mx+b) 13/4 can be put into this equation as m, because its the slope. So, now we have y=13/4x+b. The last step to find the equation is inserting the first coordinates given.(8,5)     5= 8(13/4)+b. 8 times 13 divided by 4 is 26. This is what we factored to so far: 5= 26+b. We are trying to solve for b! So lastly, 5-26= -21 and that is b. Once again, we can use the slope intercept formula since we know both b and the slope. FINAL ANSWER: y=13/4x-21. I hope this can help!

Answer:

-8

Step-by-step explanation:

Answer:

65.24 miles.

Step-by-step explanation:

Answer:

IS IT FREE??????????????????/

Answer:

Step-by-step explanation:

418 + 13 = 431

0.42 + 0.587 = 1.007

   431

+     1.007

 432.007

Hope this helps! <3

Answer:

Point of Interesection: (1, 1)

Step-by-step explanation:

Given the equation 3x^2-5xy-2y^2-x+9y-4 = 0.

We can translate this into a system of equations: y = 1/2x + 1/2, and y = -3x + 4.

Answer:

since you're rounding to the hundred thousand, it would round up to the 4th option as 683,492 is closer to 700,000 than 600,000

Answer:

2&u4hds

Step-by-step explanation:

ok

Answer:

It will increase

Step-by-step explanation:

As the mean increases the median also increases.

Answer:

15

Step-by-step explanation:

[tex]4x - 5x = - 15[/tex]

[tex] - x = - 15[/tex]

[tex]x = 15[/tex]

i think this is the answer

Answer:

x=15

Step-by-step explanation:

3x-27=18

3x=18+27

3x=45

x=45/3

x=15

Answer:

ITS 7

Step-by-step explanation:

I got the other ones wrong and i checked what was the correct answer and it said it was 7

Complete Question

Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)

calculate for each

(a) z = 2.30

(b) z = -1.7

Answer:

a

[tex]p-value = 0.021448[/tex]

b

[tex]p-value = 0.08913[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is [tex]\mu = 30 \ psi[/tex]

   The null hypothesis [tex]H_o : \mu = 30[/tex]

    The alternative hypothesis is  [tex]H_a : \mu \ne 30[/tex]

Considering question a  

 Here  the test statistics is (a) z = 2.30  

 From the z table  the probability of  (Z >  2.30)  is  

      [tex]P(Z > 2.30 ) = 0.010724[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z > 2.30 )[/tex]

=>   [tex]p-value = 2 * 0.010724[/tex]

=>   [tex]p-value = 0.021448[/tex]

Considering question b

 Here  the test statistics is (a) z = -1.7

 From the z table  the probability of  (Z <  -1.7)  is  

      [tex]P(Z < -1.7 ) = 0.044565[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z < -1.70 )[/tex]

=>   [tex]p-value = 2 * 0.044565[/tex]

=>   [tex]p-value = 0.08913[/tex]

Answer:

Mean

Step-by-step explanation:

The three basic measures of central tendencies are mean, median and mode.

Mean can be described as the average value of a set of numbers or scores in a distribution.

One of the ways the mean can be calculated is by dividing the sum of the scores in a distribution by the number of scores in the distribution. This can be represented mathematically as follows:

Mean = Sum of the scores in a distribution / Number of scores in the distribution ........ (1)

Median is the middle number when the scores in a distribution is arranged in ascending or descending order.

Mode is the most frequent number or score in a distribution.

Out of the three basic measures of central tendencies only the mean will certainly change when there is a change in one of the scores. This is because, we can still have the same score as the most frequent and the same number as the median but the mean will change.

For example, we can prove that the mean will certainly change if we assume that the sum of the scores in a distribution is 200 and number of scores in the distribution is 10, wee can substitute this into equation (1) and have:

Mean = 200 / 10 = 20

Now, as given in the question, if the value of one score in the distribution is changed from X = 20 to X = 30. We can obtain the difference as follows:

Difference in score = 30 - 20 = 10

The new mean can be calculated as follows:

New mean = (200 + Diffrence in score) / 20 = (200 + 10) / 20 = 210 / 20 = 21

Therefore, the mean changed by 1 from 20 to 21. This therefore proves that the mean will certainly change.

Of the measures of central tendency, the measure which will certainly change is the mean.

Measures of central tendency include mean, median and mode of a distribution.

The mean refers to the average, hence, the a change in one value in the distribution would certainly change the mean of the distribution.

The mode refers to the highest occurring value in the distribution.

Median denotes the number at the middle of a distribution once it is arranged in order of magnitude.

For instance :

The mean = (2 + 2 + 10 + 15 + 20) / 5 = 49/5 = 9.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

If X = 20 is changed to X = 30

The mean = (2 + 2 + 10 + 15 + 30) = 59/5 = 11.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

Therefore, the measure which would certainly change is the mean.

Learn more : https://brainly.com/question/8882508

Answer:

It might be A

Step-by-step explanation:

but that's what I think

Answer:

B is the right answer I believe

Answer:

1° F

Step-by-step explanation:

10° below zero is equivalent to -10°.

Then if you add 17° to that, then you get 7°.

Then subtract 6°, giving you a final answer of 1° F

Answer: (-∞,2)

Step-by-step explanation:

correct on edg2020

Answer:

Letter c is the correct answer

Step-by-step explanation:

Answer:

The answer is -12

Step-by-step explanation:

Because if X=3 and it was -X4 times then it is 3x4 which equals 12 then add the negative back to the answer you get -12

Answer:

The answer is -81

Step-by-step explanation:

..........

Step-by-step explanation:

The situation involves permutation. Permutation deals with arrangements of objects. It talks about ways peoples or objects can be arranged with or without restriction. According to the question,

The number of ways 13 people can line up in a row for concert tickets can be expressed as

13! = 13 * 12 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

13! = 6,227,020,800 ways

Hence the number of ways 13 people can line up in a row is 6,227,020,800 different ways and the situation involves permutation.

Answer: 1/6.

Step-by-step explanation:

The possible outcomes of Bob are {1, 2, 3, 4}

The possible outcomes of Alice are {1, 2, 3, 4, 5, 6}

Notice that the outcome space of Bob is included in the outcome space of Alice.

Now, Bob rolls his dice and gets an outcome between 1 and 4, let's suppose that the outcome is a 2.

Now, Alice needs to roll a 2 in her 6-sided dice.

The 2 appears one time, and there are 6 possible outcomes:

The probability will be equal to the probability for each number, this i:

P = 1/6.

And will be the same for any outcome in Bob's roll, so the probability that they obtain the same number is 1/6.

Answer:

The answer is option D. Note: the option is not properly formatted

D. x+y+z=200----------------1

    75x+45y+30z=12300-------2

     z=3y---------------3

Step-by-step explanation:

 In this problem, we want to model the expression to represent the situation

let the numbers of trees be

Coconut Palm trees be x,

Saw Palmetto Palm trees be y, and

Christmas Palm trees be z.

total trees =200

x+y+z=200----------------1

also costs are

Coconut Palm trees= $75 each

Saw Palmetto Palm trees = $45 each

Christmas Palm trees =$30 each

cost of all trees =$12,300

75x+45y+30z=12300----------------------2

z=3y---------------3

The system of equation is

x+y+z=200----------------1

75x+45y+30z=12300-------2

z=3y---------------3

Answer:

17.15

step by step explanation

2.45 divided by seven equals .35.

So each oranges is .35¢

So now multiply .35 by 8 and you’ll get a total of $2.80

$2.80 for 8 oranges.