Ask question

Ask question

All categories

8 days ago

11

Three friends—Elaine, Kelly, and Shannon—all start for their college volleyball team. Each plays a different position: setter, m

iddle blocker, and outside hitter. Of the three, one is a freshman*, one a sophomore*, and the other a junior*.From the clues below, determine each woman's position and year in school.1. Elaine is not the setter.2. Kelly has been in school longer than the middle blocker.3. The middle blocker has been in school longer than the outside hitter.4. Either Kelly is the setter or Elaine is the middle blocker.

1 answer:

babunello [8.4K]8 days ago

6 0

Answer:

Elaine plays the position of outside hitter and is a Freshman

Kelly serves as the setter and is a Junior

Shannon occupies the role of middle blocker in her Sophomore Year

Please mark my answer as brainiest

You might be interested in

If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?

AnnZ [9104]

Greetings,

f(1)=160
f(2)=160*(-2)
f(3)=160*(-2)²
f(4)=160*(-2)^3=-1280

The function can be expressed as f(n)=160*(-2)^(n-1)

8 0

1 month ago

Read 2 more answers

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg

Svet_ta [9518]

Response:

PQ's slope is 0

MN's slope equals infinity

The lines PQ and MN are perpendicular to one another

Detailed explanation:

For two points in the coordinate plane, denoted as (x1, y1) and (x2, y2), the slope is determined as follows:

$y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\$

If a line has a slope of zero, it runs parallel to the X-axis and stands perpendicular to the Y-axis

If a line's slope is infinite, it is parallel to the Y-axis and perpendicular to the X-axis

Moreover, it is established that X and Y are perpendicular to each other.

As PQ's slope is zero, it runs parallel to the X-axis and perpendicular to the Y-axis

With MN having an infinite slope, it runs parallel to the Y-axis and perpendicular to the X-axis.

Therefore, lines PQ and MN are indeed perpendicular.

4 0

29 days ago

Read 2 more answers

Arrange the entries of matrix A in increasing order of their cofactors values

Zina [9179]

To ascertain the cofactor of

$A=\left[\begin{array}{ccc}7&5&3\\-7&4&-1\\-8&2&1\end{array}\right]$

First, eliminate the relevant row and column linked to the specified entries and calculate the determinant of the leftover $2\times 2$ matrix while applying alternating signs.

$Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|$

$Ac_{11}=4\times 1- -1\times 2$

$Ac_{11}=4+ 2$

$Ac_{11}=6$

$Ac_{12}=-\left|\begin{array}{ccc}-7&-1\\-8&1\end{array}\right|$

$Ac_{12}=-(-7\times 1- -1\times -8)$

$Ac_{12}=-(-7- 8)$

$Ac_{12}=15$

$Ac_{21}=-\left|\begin{array}{ccc}5&3\\2&1\end{array}\right|$

$Ac_{21}=-(5\times 1- 3\times 2)$

$Ac_{21}=-(5-6)$

$Ac_{21}=1$

$A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|$

$Ac_{23}=-(7\times 2 -8\times 5)$

$Ac_{23}=-(14-40)$

$Ac_{23}=26$

$A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|$

$Ac_{31}=5\times -1 -4\times 3$

$Ac_{31}=-5-12$

$Ac_{31}=-17$

$A_c{33}=\left|\begin{array}{ccc}7&5\\-7&4\end{array}\right|$

$Ac_{33}=7\times 4- -7\times 5$

$Ac_{33}=28+35$

$Ac_{33}=63$

Therefore, the entries arranged in increasing order of their cofactors values are;

$Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63$

7 0

4 days ago

Read 2 more answers

The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per

lawyer [9240]

Details provided:
Confidence level = 90%
Mean = 71 beats per minute
Standard deviation = 6 beats per minute

The formula for margin of error is z * δ / √n.

Where δ represents the population standard deviation and n is the sample size; z denotes the corresponding z-value.

For a 90% confidence level, the z-value is 1.645.

Thus, the margin of error is calculated as 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104.

8 0

29 days ago

Read 2 more answers

The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent. If world population w

tester [8842]

Answer:

Step-by-step explanation:

The world population currently is rising at a yearly rate of 1.35 percent. The nature of the growth is exponential. We will use the exponential growth formula, expressed as

A = P(1 + r)^t

Where:

A indicates the population after t years.

t symbolizes the number of years.

P is the initial population count.

r signifies the growth rate.

<pFrom the given data,

P = 6.1 × 10^9

r = 1.35% = 1.35/100 = 0.0135

t = 1

Hence,

A = 6.1 × 10^9(1 + 0.0135)^1

A = 6.1 × 10^9(1.0135)^1

A = 6182350000

The total number of people added would be

6182350000 - 6100000000

= 82350000

3 0

1 month ago