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
OlgaM077 [116]
3 years ago
7

Stacy and Neil painted 280 ft2 of their living room wall with 45 gallon of paint. How many square feet can they paint with 3 gal

lons of paint?
Mathematics
1 answer:
Alecsey [184]3 years ago
4 0

Answer:

They can paint 18. 66 sq ft with 3 gallons of paint.

Step-by-step explanation:

Total area painted = 280 sq ft

Total gallons of paint used = 45

So, 45 gallons of paint painted 280 sq ft.

⇒ By UNITARY METHOD,

1 gallon of paint paints (\frac{280}{45} ) sq ft

So, area painted by 1 gallon = 6.22 sq ft

⇒ area painted by 3 gallon = 6.22 sq ft x 3 = 18. 66 sq ft

So, they can paint 18. 66 sq ft with 3 gallons of paint.

You might be interested in
Listed below are annual data for various years. The data are weights​ (metric tons) of imported lemons and car crash fatality ra
anyanavicka [17]

Answer:

Because the​ P-value is _(<u>0.02)  less </u> than the significance level 0.05​, there <u> is </u> sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05.

C. The results suggest that imported lemons cause car fatalities.

Step-by-step explanation:

Hello!

The study variables are:

X₁: Weight of imported lemons.

X₂: Car crash fatality rate.

The objective is to test if the imported lemons affect the occurrence of car fatalities. To do so you are asked to use a linear correlation test.

I've made a Scatterplot with the given data, it is attached to the answer.

To be able to use the parametric linear correlation you can use the parametric test (Person) or the nonparametric test Spearman. For Person, you need your variables to have a bivariate normal distribution. Since one of the variables is a discrete variable (ratio of car crashes) and the sample is way too small to make an approximation to a normal distribution, the best test to use is Spearman's rank correlation.

This correlation coefficient (rs) takes values from -1 to 1

If rs = -1 this means that there is a negative correlation between the variables

If rs= 1 this means there is a positive correlation between the variables

If rs =0 then there is no correlation between the variables.

The hypothesis is:

H₀: There is no linear association between X₁ and X₂

H₁: There is a linear association between X₁ and X₂

α: 0.05

To calculate the Spearman's correlation coefficient you have to assign ranks to the observed values of each variable, from the smallest to the highest). Then you have to calculate the difference (d)between the ranks and the square of that difference (d²). (see attachment)

The formula for the correlation coefficient is:

rs= 1 - \frac{6* (sum of d^2)}{(n-1)n(n+1)}

rs= 1 - \frac{6* (40)}{4*5*6}

rs= -1

For this value of the correlation coefficient, the p-value is 0.02

Since the p-value (0.02) is less than the significance level (0.05) the decision is to reject the null hypothesis. In other words, there is a linear correlation between the imported lemons and the car crash fatality ration, this means that the modification in the lemon import will affect the car crash fatality ratio.

Note: the correlation coefficient is negative, so you could say that there is a correlation between the variables and this is negative (meaning that when the lemon import increases, the car crash fatality ratio decreases)

I hope it helps!

4 0
3 years ago
Latasha is a waitress at Seventh Heaven Hamburgers. She wants to estimate the mean amount each group at a table leaves for a tip
elena55 [62]
Forgive me if this is wrong. I haven't done stat in a year, but comment if you need clarification!

3 0
3 years ago
Can someone please help me with a few of theseee
charle [14.2K]

i dont know, sorry.

7 0
3 years ago
Suppose that you want to design a cylinder with the same volume as a given cylinder, but you want to use a different radius and
shutvik [7]

volume of a cylinder = pi×r^2×h

6 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (4, -1) and<br> (-8, –7)?
Andreas93 [3]

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

5 0
3 years ago
Other questions:
  • What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a ta
    7·3 answers
  • Graph the function f(x) = x + 2 / x − 3 using transformations of the graph of y = 1 / x.
    8·1 answer
  • Put -4 ,-8,2,0 in order from least to greatest
    7·1 answer
  • David purchased three shirts that cost an equal price as well as a hat for $15. If he spent $47.52 shopping, write an equation t
    14·1 answer
  • 1/3 plus - 7/4 as a fraction simplest form
    11·1 answer
  • Find the equation of the line.
    6·1 answer
  • After a baseball game, both the winning and losing teams went to the same fast food restaurant. The winning team bought 24 hambu
    9·1 answer
  • What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
    5·1 answer
  • CAN SOMEONE ANSWER THIS! Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth. A) 315.04 in
    9·1 answer
  • Solve 4_3=3x+y=2y+5x_12​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!