Can someone answer these 2 questions please? Thanks

The percentage of students in school that attended the talent show for the years 2008 to 2013 are shown. This year, the school h

Elodia [21]

Answer:

352 students

Step-by-step explanation:

Given

See attachment for table

$n = 400$

Required

Attendance of students in this year's show

First, we calculate the mean of the table

$Mean= \frac{\sum x}{n}$

So, we have:

$Mean= \frac{85\% + 91\% + 92\% + 87\% +84\% + 89\%}{6}$

$Mean= \frac{528\%}{6}$

$Mean= 88\%}$

Multiply the mean by the total students

$Expected = Mean * n$

$Expected = 88\% * 400$

$Expected = 352$

7 0

3 years ago

a square with an area of 25 in.^2 is plotted on a grid so that the bottom-left corner is at the origin. The side of the square a

bazaltina [42]

Answer:

Reflection about the vertical line x = 2.5 inches will map the square unto itself

Step-by-step explanation:

The given parameters are;

The area of the square = 25 in²

The orientation of the sides of the square are horizontal and vertical

Therefore, we have;

The area, A, of the square given by the following relation;

A = Side²

A = 25 in²

Therefore;

The area of the square = 25 = side²

The length of the sides of the square = √A = √25 = 5

The length of the sides of the square = 5 inches

The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry

One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)

Therefore, reflection about the line x = 2.5 inches will map the square unto itself.

3 0

3 years ago

7/8 of a flock of geese landed into a lake. 2/3 of the geese that landed in the lake went under water in search of food what fra

Furkat [3]

This is the answer 5/24

4 0

3 years ago

A colony of ants carried away 16 of your muffins. That was 4/7 of all of them! With how many did you start?

mariarad [96]

You started with a total of 28 muffins

<h3>How to determine the amount you started with?</h3>

From the question, the given parameters are:

Proportion carried away = 16 of the total muffins

Proportion carried away = 4/7 of the total muffins

The above parameters implies that

4/7 of the total muffins = 16

Represent the amount you started with x

So, we have the following representation

4/7 of x = 16

Express as products

4/7x = 16

Make x the subject

x = 7 * 16/4

Evaluate

x = 28

Hence, the total number of muffins is 28

Read more about proportions at

brainly.com/question/16828793

#SPJ1

8 0

2 years ago

A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we

Pavel [41]

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

$\frac{dP}{dt} = 1.5P$

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

$\frac{dP}{dt} = kP$

Hence:

$\frac{dP}{dt} = 1.5P$

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0

2 years ago