1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry_Shevchenko [17]
3 years ago
7

You are planning to open a day care. Regulations mandate 35 sq. ft of space per child. How much floor space will you need for 15

children? Will a space 22 ft. by 24 ft. meet the requirement?
How many square feet will be required for 15 children?

___ 425 sq. ft.

__ 525 sq. ft.

A space 22 ft. by 24 ft. is sufficient.

__ true

__ false
Mathematics
2 answers:
Sliva [168]3 years ago
4 0

Answer:

1) 525 sq. ft.

2) True

Step-by-step explanation:

Since regulations mandate to open a day care is 35 sq. ft of space per child.

So space needed for 15 children = number of students × space required for one child = 15 × 35 = 525 sq. ft.

So option 2 is correct.

To evaluate whether space of 22×24 ft is sufficient we will divide the total space by number of students. If the result matches with regulations mandate then space is sufficient.

Space for one student from the given space = (22×24)/15 = 35.2 sq. feet

This space is bigger than the mandate of minimum space of 35 sq. ft.

Therefore statement is true.

scZoUnD [109]3 years ago
3 0
<span>How many square feet will be required for 15 children?
</span>15\times 35=525

<span>Will a space 22 ft. by 24 ft. meet the requirement?
</span>22\times 24=528\ \textgreater \ 15\times 35=525
<span>Yes</span>
You might be interested in
1
alukav5142 [94]

Answer:

what is this

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v
Artemon [7]
The volume of a cone is (1/3) that of its similar cylinder. 
Thus the volume of the cone B would be: 6 \pi cm^{3}
5 0
3 years ago
Read 2 more answers
Whats the absolute vaule of -1 1/3​
Phoenix [80]

Answer:

1 1/3

Step-by-step explanation:

Absolute values are how far away it is from 0, so it is always positive. It is always the positive number of itself, so absolute values of negative numbers are the opposite, and the absolute value of positive numbers and just the same numbers.

5 0
3 years ago
Read 2 more answers
A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)
jekas [21]

Answer:

the area would be 935cm

Step-by-step explanation:

ty for reading :P

7 0
3 years ago
Read 2 more answers
The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15%
vagabundo [1.1K]

Answer:

1) \chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313

2) p_v =P(\chi^2_{3}>16.313)=0.000978

And we got the same decision reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts

The Chi-Square test of independence is used "to determine if there is a significant relationship between two nominal (categorical) variables". And is defined with the following statistic:

\chi^2 =\sum_{i=1}^n \frac{(O-E)^2}{E}

Where O rpresent the observed values and E the expected values.  

State the null and alternative hypothesis

Null hypothesis: The distribution  is 30% catfish, 15% bass, 40% bluegill, and 15% pike

Alternative hypothesis: The distribution  is NOT 30% catfish, 15% bass, 40% bluegill, and 15% pike

The observed values are given by the table given:

Catfish =112, BAss = 95, Bluegill=210, Pike=83

Calculate the expected values

In order to calculate the expected values we can use the following formula for each cell of the table

E = \% Grand total

E_{Catfish}=500*0.3=150

E_{Bass}=500*0.15=75

E_{Bluegill}=500*0.4=200

E_{Pike}=500*0.15=75

Part 1: Calculate the statistic

\chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313

\chi^2 =16.313

Calculate the critical value

First we need to calculate the degrees of freedom given by:

df= (categories-1)=(4-1)= 3

Since the confidence provided is 95% the significance would be \alpha=1-0.95=0.05 and we can find the critical value with the following excel code: "=CHISQ.INV(0.95,3)", and our critical value would be \chi^2_{crit}=7.815

We can calculate also the p value:

p_v =P(\chi^2_{3}>16.313)=0.000978

And we got the same decision reject the null hypothesis at 5% of significance.

5 0
3 years ago
Other questions:
  • Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6)<br> Explain your steps!!
    11·1 answer
  • Sue uses the expression (8 x 3,000) + (8 x 200) +(8 x 9) to help solve a multiplication problem. What is Sue's multiplication pr
    15·1 answer
  • What is the length of ac? a)96 b)132 c)72 d)136
    9·2 answers
  • Can someone help me with this ​
    12·1 answer
  • Create a function rule for the
    10·1 answer
  • The line plot below shows the lengths of bolts Mr. Slivka found in his drawer. He needs 16 bolts that are longer than 1 inch for
    15·1 answer
  • Write a similarity statement for the following pairs of triangle. Please answer sensibly​
    12·1 answer
  • Need helpp fastt plss will give brainliest to who is correct plss helpp
    7·2 answers
  • Please help if you would be so kind, it’s geometry:
    13·1 answer
  • What facts are required in order to conclude that m∠ADE = m∠ABC?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!