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
andrey2020 [161]
3 years ago
14

London purchased 4 3/4 pints of ice cream for a party. If each guest will be served exactly 2/3 pint of ice cream, what is the g

reatest number of guests that London can serve?
Mathematics
2 answers:
lara [203]3 years ago
4 0

Answer:

7 persons

Step-by-step explanations:

If 4¾ pints of ice cream is available or the server and each person is expected to have a share of at least 2/3 pints.

The maximum number of people that will be able to get at least the supposed 2/3 pints will be gotten by dividing the total amounts of pints of ice cream by the amount that each person is expected to receive.

4¾ is the same as 19/4 or 4.75 and is divided by 2/3 or 0.6666666

19/4 ÷ 2/3

= 7⅛

But since ⅛ of a person doesn't exist,we have to discard it.

So therefore, the maximum number of persons that got a share of the ice cream is 7 persons

Alborosie3 years ago
4 0

Answer:

7

Step-by-step explanation:

To solve this problem, we can use a rule of three.

The total amount of pints of ice cream is 4 3/4 = 4.75, and each guest will be served 2/3 pint of ice cream.

If one guest need 2/3 pint, X guests will need 4.75 pints:

1 guest -> 2/3 pint

X guests -> 4.75 pints

1/X - 2/3 / 4.75

X = 4.75 / 2/3 = 4.75 * 3 / 2 = 7.125

So the greatest number of guests that can be served is 7.

You might be interested in
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
Nina [5.8K]

Answer:

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

Step-by-step explanation:

Data given and notation  

X_{1}=253 represent the number with no defects in sample 1

X_{2}=196 represent the number with no defects in sample 1

n_{1}=300 sample 1

n_{2}=300 sample 2

p_{1}=\frac{253}{300}=0.843 represent the proportion of number with no defects in sample 1

p_{2}=\frac{196}{300}=0.653 represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

\alpha=0.05 significance level given

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:  

Null hypothesis:p_{1} - p_2}=0  

Alternative hypothesis:p_{1} - p_{2} \neq 0  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

Statistical decision

Since is a two sided test the p value would be:  

p_v =2*P(Z>5.358) = 4.2x10^{-8}  

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

5 0
3 years ago
If an airplane travels 110 mph for 5 hours, what is the total distance traveled?
Sergeu [11.5K]

Answer:

550 miles

Step-by-step explanation:

Distance=Speed\times Time

Distance = 110mph \times 5h = 550\ miles

3 0
3 years ago
What is the value of x
kati45 [8]

Answer:8

Step-by-step explanation:

6 0
2 years ago
What is the value for y?<br> Enter your answer in the box.
lapo4ka [179]

Answer:

y = 14

Step-by-step explanation:

The sum of the angles in a triangle add to 180 degrees

50 + 2x+ 5y + 10 = 180

We know that 2x = 50 since they are the base angles of sides that have the same length, they must be the same

50 + 50 + 5y+10 =180

Combine like terms

110 + 5y =180

Subtract 110 from each side

110+5y-110 = 180-110

5y = 70

Divide each side by 5

5y/5 =70/5

y = 14

6 0
2 years ago
Read 2 more answers
Write a real word problem that can be represented by the equation a - 6 = 15
chubhunter [2.5K]

Answer: your friend is trying to find out how many canys are in a box(a) and he gives you 6 and has 15 left

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is 5² + 7³ ????????
    5·1 answer
  • What is 369.4 in standard form
    10·2 answers
  • Use skip counting and the number line to find the missing number.<br> 3X__=12
    9·1 answer
  • Three trigonometric functions for a given angle are shown below. sin theta = -77/85, cos theta=36/85 tan theta=77/36 What are th
    9·2 answers
  • The equation (x2 + 2x2)(3x2 + 2x + 1) = x (3x2 +2x+1)+2x+ (3x2 +2x+1) is an
    11·2 answers
  • Assume a significance level of
    10·1 answer
  • A truck can be rented from Company A for ​$90 a day plus ​$0.30 per mile. Company B charges ​$40 a day plus ​$0.40 per mile to r
    13·1 answer
  • Aaron bought 2 pounds of cheese for $6. Assuming the situation is proportional, determine how much it will cost for Aaron to buy
    8·1 answer
  • Darel went to the mall and spent $41. He bought several t-shirts that ach cost
    5·1 answer
  • 7. An 18-foot long ramp is placed at a loading
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!