Ask question

Ask question

All categories

3 years ago

10

a group of a hundred people some students and some faculty attending museum opening each student paid $10 per person for entranc

e to the museum and each of the Faculty paid $25 per person for entrance if the total paid for all 100 people was 1300 dollars how many students attended the museum opening

1 answer:

Alexandra [31]3 years ago

3 0

We suppose that every one paid $10 for entrance. So the total paid should be $1000. Now there is $300 more. The faculty should pay $15 more than student. So the faculty number is $300/15=20. Then the number of student is 80.

You might be interested in

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

2 years ago

46. Order these numbers from least to greatest:<br> 1/2, 0.4, 1/3, 1/5

e-lub [12.9K]

Answer:

1/5, 1/3, 0.4, 1/2

Step-by-step explanation:

1/5 = 0.2

1/3 = 0.33

1/2 = 0.5

4 0

2 years ago

A farmers productions statistics finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed

Lelu [443]

Answer:

8 chickens

Step-by-step explanation:

Firstly, we need to know the number of eggs produced by a single chicken in 24 hours.

Since 2 chickens produce 6 eggs in 24hours, this means 1 chicken will produce 3 eggs in 24 hours.

Now, we need 24 eggs to be produced. Since the time is the same 24hours, meaning time is constant, the number of chickens required to produce 24 eggs will be 24/3 = 8 chickens

Hence, we can say that 8 chickens will produce 24eggs in 24 hours

7 0

3 years ago

What is represented by p v q?

Stella [2.4K]

$\lor$ is the logical or/disjunction symbol. $p\lor q$ means " $p$ or $q$ ". Disjunction is commutative, which means $p\lor q$ is equivalent to $q\lor p$ .

So if $p$ represents $x$ and $q$ represents $x>3$ , then $p\lor q\equiv q\lor p$ means $x>3$ or $x$ .

4 0

3 years ago

Natali [406]

B, D, A
No problem make sure to heart my comment Helps

4 0

2 years ago