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
ch4aika [34]
3 years ago
10

Which estimation could be used to make sure the answer is reasonable?

Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Let's go through each answer.

A.

Answer: The amount left over was 4.05 L.

Estimation: 3.15 + 4.75 is about 7.

7 L – 4 L = 3 L

The amount left over was about 3 L.

This is incorrect because 3.15+4.75 is closer to 8 than 7.

B.

Answer: The amount left over was 3.95 L.

Estimation: 3.15 + 4.75 is about 8.

8 L – 4 L = 4 L

The amount left over was a little less than 4 L.

This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.

The correct answer is B.

Answer: The amount left over was 3.95 L.

Estimation: 3.15 + 4.75 is about 8.

8 L – 4 L = 4 L

The amount left over was a little less than 4 L.

Hope this helps!. If it helped, please rate, thank, and if it really helped, give brainliest. It helps me rank up. Thanks! :)

You might be interested in
Choose the equation in point slope form that passes through the point (3,-4) and has a slope of 4
netineya [11]

Answer:

y+4=4(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=4(x-3)

y+4=4(x-3)

4 0
3 years ago
Abbie, Beth, Carl, Diego, and Elena are waiting in line. Use the following information to figure out which of the five is first
zlopas [31]
Abbie is not next to Elena or Carl
5 0
3 years ago
Men are believed to have a slightly longer average length of short hospital stays than women; 5.2 days versus 4.5 days respectiv
Georgia [21]

Answer:

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of singificance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

Step-by-step explanation:

1) Data given and notation  

\bar X_{1}=5.2 represent the mean for group men  

\bar X_{2}=4.5 represent the mean for group women  

Assuming these values for the remaining data:

\sigma_{1}=1.2 represent the population standard deviation for the sample men

\sigma_{2}=1.5 represent the population standard deviation for the sample women

n_{1}=32 sample size for the group men  

n_{2}=30 sample size for the group women  

z would represent the statistic (variable of interest)

p_v represent the p value  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the mean for men it's higher than the mean for women, the system of hypothesis would be:  

H0:\mu_{1} \leq \mu_{2}  

H1:\mu_{1} > \mu_{2}  

If we analyze the size for the samples both are higher than 30, and we know the population deviation's, so for this case is better apply a z test to compare means, and the statistic is given by:  

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

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.  

3) Calculate the statistic  

We have all in order to replace in formula (1) like this:  

z=\frac{5.2-4.5}{\sqrt{\frac{1.2^2}{32}+\frac{1.5^2}{30}}}=2.02  

4) Find the critical value

In order to find the critical value we need to take in count that we are conducting a right tailed test, so we are looking on the normal standard distribution a value that accumulats 0.01 of the area on the right and 0.99 of the area on the left. We can us excel or a table to find it, for example the code in Excel is:

"=NORM.INV(1-0.01,0,1)", and we got z_{critical}=2.33

5) Statistical decision

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of significance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

6 0
3 years ago
The expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children
ss7ja [257]

Answer:  x represents the number of months, 150 represents one-time materials fee,  2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

Therefore, f(x)= 2( 21x + 75 )

⇒f(x)= 42 x +150

Again according to the question, there is a one-time materials fee which must be free from the variable.

Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

And, 42 must be denote the fees for 1 month.



8 0
3 years ago
The table shows the relationship between a, the area of a rectangle, and h, its height, when the base remains constant.
nadezda [96]
A=4h BECAUSEE 2 times 4 is 8 and 5 times 4 is 20 caught the pattern yet? it's multiplying
3 0
3 years ago
Other questions:
  • What is the probability of picking a vowel from the word invite?
    8·2 answers
  • Please help fasttttttt
    11·1 answer
  • Solve for "x"4x-(2x 3)=7
    7·1 answer
  • ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?
    11·1 answer
  • What transformation did Ben perform to create P'Q'R'S'? (6 points)
    15·2 answers
  • Please help ASAP URGENT Will mark Brianlest
    14·2 answers
  • Help Please i beg you​
    8·2 answers
  • Help me please :(****​
    8·2 answers
  • Russell is 20 years younger than Emma. 3 yrs ago Emma was 2times Russell's age .How old is Russell now? ​
    15·1 answer
  • F (10) = 10/2 = 5 . how to solve this problem​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!