All categories

3 years ago

The middle person in a row is the 16th, how many persons are in the row?

Mathematics

1 answer:

Reptile [31]3 years ago

7 0

Answer:

There are 31 people in the row

Step-by-step explanation:

Let us say that the number of people in the row is = x

We can also assume that the people arranged in the row are counted from one end.

The median value can be got using the formula:

median (middle person) = (n +1 )/2

where n = number of people in the row

hence, we will have

16 = (n +1)/2

n = 32 -1 =31

Therefore, there are 31 persons in the row

You might be interested in

Determine the degree of the given polynomial x^2 ( 1 - x^3)

Ray Of Light [21]

Answer:

$\huge\boxed{\bf\:5}$

Step-by-step explanation:

Polynomial = $x^{2} (1 - x^{3})$ .

Before determining the degree of the polynomial, let's open the parentheses using the distributive property .

$x^{2} (1 - x^{3})\\=\underline {x^{2} - x^{5}}$

Degree is the highest exponential power in a polynomial .

So, the degree of the given polynomial is 5.

$\rule{150pt}{2pt}$

4 0

2 years ago

PLEASE HELP!!!!!!!!!!

agasfer [191]

Answer:

a = 30

b = 15

c = 3

d = 30

e = 10

f = 20

Step-by-step explanation:

60 deg and a + 30 are alt int <S and congruent

a + 30 = 60

a = 30

a + 30 and a + 2b are corresponding angles and congruent

a + 2b = a + 30

2b = 30

b = 15

a + 2b and 5b - 5c are vertical angles and congruent

5b - 5c = a + 2b

5(15) - 5c = 30 + 2(15)

75 - 5c = 30 + 30

75 - 5c = 60

-5c = -15

c = 3

a + 2b and 10c + d are corresponding angles and congruent

10c + d = a + 2b

10(3) + d = 30 + 2(15)

d + 30 = 60

d = 30

5b - 5c and 2d + 6e are supplementary and add to 180

5b - 5c + 2d + 6e = 180

5(15) - 5(3) + 2(30) + 6e = 180

75 - 15 + 60 + 6e = 180

6e + 120 = 180

6e = 60

e = 10

2d + 6e and 4f + 4e are alt int angles and congruent.

4f + 4e = 2d + 6e

4f + 4(10) + 2(30) + 6(10)

4f + 40 = 60 + 60

4f + 40 = 120

4f = 80

f = 20

3 0

3 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the

sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that $\mu = 72.3, \sigma = 8$

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

$Z = \frac{X - \mu}{\sigma}$

$1.34 = \frac{X - 72.3}{8}$

$X - 72.3 = 1.34*8$

$X = 83$

The minimum score required for an A grade is 83.

5 0

3 years ago

A rectangular garden has length twice as great as its width. A second rectangular garden has the same length as the first garden

Slav-nsk [51]

I say 12 because that would mean the first rectangle is 6x12 and the second is 10x12

4 0

4 years ago

Solve for x.<br><br> X = ____?

I am Lyosha [343]

Set up a proportion
EA / EB = ED/ EC
16 / (5x + 2 + 16) = 12 / (12 + 24)
16/(5x + 18) = 12 / 36 Cross multiply
16 * 36 = (4x + 18)*12 Remove the brackets
576 = 48x + 216 Subtract 216 from both sides.
360 = 48x Divide by 48
360/48 = x
7.5 = x

8 0

3 years ago