The sum of two consecutive even integers is 98 find the larger number

Answer:

1. c. 34%

2. b. 7.8 hours

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Mean of 6 hours, standard deviation of 1.5 hours.

1. Approximately what percent of people sleep between 6 and 7.5 hours per night?

6 hours = mean

7.5 hours = 6 + 1.5 = 1 standard deviation above the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean. Since the normal distribution is symmetric, 34% are between one standard deviation below the mean and the mean, and 34% are between the mean(6 hours) and 1 standard deviation above the mean(7.5 hours). So the answer is 34%, given by option c.

2. If Aaron had a Z score of 1.2 how many hours did he sleep?

We have that [tex]Z = 1.2, \mu = 6, \sigma = 1.5[/tex]. We have to find X.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.2 = \frac{X - 6}{1.5}[/tex]

[tex]X - 6 = 1.2*1.5[/tex]

[tex]X = 7.8[/tex]

So option b.

11 I think

(someone correct if I am wrong plz)

Answer:

10.5

Step-by-step explanation:

7 =  x

8   12

8x = 84

8     8

x = 10.5

To divide 4 by 3.2, we can use long division.

Here's the step-by-step process:

        1.25

   ___________

3.2 | 4.00

      3.2     (subtract 3.2 from 4.00)

   _______

        8

        6.4   (bring down the 0)

   _______

        16

        16    (subtract 16 from 16, no remainder)

   _______

         0

Therefore, 4 divided by 3.2 is equal to 1.25.

Learn more about Long division here:

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Answer:

B

Step-by-step explanation:

On edge

The probabilities is the greatest for a standard normal distribution is

P(-0.5 ≤ z ≤ 0.5) = 0.382.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

From the diagram attached below, we can write

1. P( -1.55 ≤ z ≤ -0.5)

= 0.092 + 0.15

= 0.242

or, 9.2%+15%=24.2%.

2. P( -0.5 ≤ z ≤ 0.5)

= 0.191 + 0.191

= 0.382

3. P( 0.5 ≤ z ≤ 1.5)

= 0.15 + 0.092

= 0.242

4. P( 1.5 ≤ z ≤ 2.5)

= 0.044 + 0.017

= 0.061

So, the greatest value is P(-0.5 ≤ z ≤ 0.5) = 0.382

Learn more about Normal Distribution here:

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Answer:

what is the question? please provide a question.

Answer:

area would be 98.35

Step-by-step explanation:

the area is 98.35 units squared

Answer:

Answer is 8 and 3/4

Answer:

the answer would be 8 3/4 in

Answer: 3.1 or 3.10

Step-by-step explanation:

3 and 10 hundredths = 3 + 10/100 = 3 + 0.10

3.10 / 3.1

Answer:

11a+5

Step-by-step explanation:

-5a-6a-3+8

=11a+5

Answer:

In decimal 0.428571428

Step-by-step explanation:

The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9

The slope = (16 - 19)/(2 -9)

The slope = (-3)/(-7)

The slope = 0.428571428

So in decimal form the coordinates are going to be written as 0.428571428

Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.

Answer: 1 hour 38 minutes

Step-by-step explanation:

From 11:51 AM to 12:00 PM (noon)

9 minutes

from 12:00 PM to 1:00 PM

1 hour

1:00 PM to 1:29 PM

29 minutes

______________________________

9 minutes + 1 hour + 29 minutes

1 hour 38 minutes

Answer:

“The roof is not my son, but I will raise it.” – Anonymous

“I’m gonna go stand outside. If anyone asks, I’m outstanding.” – Taylor Bass

(your name her) was released from his/her/their 4 year sentence

Given:

The equation is

[tex]P=-3-4L-6[/tex]

To find:

The formula for L.

Solution:

We have,

[tex]P=-3-4L-6[/tex]

It can be written as

[tex]P=(-3-6)-4L[/tex]

[tex]P=-9-4L[/tex]

We need to isolate variable L.

Adding 6 on both sides, we get

[tex]P+6=-4L[/tex]

Dividing both sides by -4, we get

[tex]\dfrac{P+6}{-4}=L[/tex]

[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]

[tex]-\dfrac{P}{4}-1.5=L[/tex]

Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].

Answer:

False

Step-by-step explanation:

The sum of angles of a parallelogram is equal to 180°. So,

8x+3y+2x+(7x+18)=180

or

17x+3y = 180-18

17x+3y = 162

Put x = 44 and y = 18 in the above expression.

So,

17(44)+3(18) = 748+54

= 802

≠ 162

Hence, the given statement is false.

k would be located at

Answer:

6 balls in a bag. 2 golden balls.

6 C 2 (C = combination)

6C2 = 6 x 5 x 4 x 3 x 2 x 1 / 2 x 1 x 4 x 3 x 2 x 1

= 3 x 5

= 15

denominator = 15

6 balls total 2 golden balls choose 2 balls only one possibility

answer = 1/15

Step-by-step explanation:

Product of 3 and 12 means 3 multiplied by 12

which is equal to 12*3

Hope it helps!

Answer:12+3 or 3 + 12

Step-by-step explanation:in math and means adition so

12 and 3 as an expression would be 12 +3

Answer:

a) The average weight is 199 pounds.

b) The probability that the maximum safe weight will be exceeded is 0.4840 = 48.40%.

c) The probability that the maximum safe weight will be exceeded is 0.3539 = 35.39%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) If 56 people are on the elevator, and their total weight is 11,144 pounds, what is their average weight?

This is 11144 divided by 56, that is 11144/56 = 199 pounds.

Their average weight is 199 pounds.

(b) If a random sample of 56 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?

The weights of adult U.S. men have mean 196 pounds and standard deviation 71 pounds, which means that [tex]\mu = 196, \sigma = 71[/tex]

11144 pounds is an average of 199 pounds, so this probability is 1 subtracted by the pvalue of Z when X = 199.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{199 - 196}{71}[/tex]

[tex]Z = 0.04[/tex]

[tex]Z = 0.04[/tex] has a pvalue of 0.5160

1 - 0.5160 = 0.4840

The probability that the maximum safe weight will be exceeded is 0.4840 = 48.40%.

(c) If a random sample of 56 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?

The weights of adult U.S. women have mean 169 pounds and standard deviation 80 pounds, which means that [tex]\mu = 169, \sigma = 80[/tex]

11144 pounds is an average of 199 pounds, so this probability is 1 subtracted by the pvalue of Z when X = 199.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{199 - 169}{80}[/tex]

[tex]Z = 0.375[/tex]

[tex]Z = 0.375[/tex] has a pvalue of 0.6461

1 - 0.6461 = 0.3539

The probability that the maximum safe weight will be exceeded is 0.3539 = 35.39%.

Answer:

The correct option is c. An amount equal to or greater than $25,000 but less than $36,000.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amazon Rafting just bought a new trailer. To pay for the trailer, the company took out a loan that requires Amazon Rafting to pay the bank a special payment of $8,700 in 5 years and also pay the bank regular payments of $4,100 each year forever. The interest rate on the loan is 14.3 percent per year and the first $4,100 yearly payment will be paid in one year from today. What was the price of the trailer?

a. An amount less than $14,000 or an amount equal to or greater than $62,000

b. An amount equal to or greater than $14,000 but less than $25,000

c. An amount equal to or greater than $25,000 but less than $36,000

d. An amount equal to or greater than $36,000 but less than $49,000

e. An amount equal to or greater than $49,000 but less than $62,000

The explanation of the answer is now provided as follows:

The price of the trailer can be calculated using the following formula:

Price of the trailer = (Special payment in 5 years / (1 + r)^n) + (Annual regular payment forever / r) .................... (1)

Where:

Special payment in 5 years = $8,700

r = Interest rate = 14.3% or 0.143

n = number of years = 5

Annual regular payment forever = $4,100

Substituting the values into equation (1), we have:

Price of the trailer = ($8,700 / (1 + 0.143)^5) + ($4,100 / 0.143)

Price of the trailer = ($8,700 / 1.95088267511394) + $28,671.33

Price of the trailer = $4,459.52 + $28,671.33

Price of the trailer = $33,130.85

Since the calculated price of the trailer is $33,130.85, the correct option is c. An amount equal to or greater than $25,000 but less than $36,000.

Answer i think its 0.5 i searched it and thats what it said

Step-by-step explanation:

What is really saying is solve the quadratic equation

[tex]-16t^2+64t+80=0 \\ t^2-4t-5=0 \\ (t-5)(t+1)=0 \implies t_1=5,t_2=-1 [/tex]

Hope this helps.

Answer:

There were 25 questions total on the test.

Step-by-step explanation:

Hope this helps!