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
Llana [10]
3 years ago
8

Kevin runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?

Mathematics
1 answer:
netineya [11]3 years ago
3 0

Kevin runs:

8 miles -- 84 minutes;

6 miles -- x minutes.

Write a proportion:

\dfrac{8}{6}=\dfrac{84}{x}.

Then 8\cdox =6\cdot 84,\\ \\x=\dfrac{6\cdot 84}{8}=3\cdot 21=63\ minutes.

Answer: it takes him 63 minutes to run 6 miles

You might be interested in
4-7x=1-6x can someone please solve and show the work :)
vekshin1

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

5 0
3 years ago
Prove lines AI and GJ are parallel.
Vanyuwa [196]

Answer:

Step-by-step explanation:

Because line FE creates the same angle (a) when intersecting AI and GJ

6 0
3 years ago
30 pointsssss help meeeee
Over [174]
0.416666666666666 and the 6 continue
4 0
3 years ago
Not Answered Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal f
ehidna [41]

Answer:

Null hypothesis:p_{1} = p_{2}    

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

z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688    

p_v =2*P(Z>2.688)= 0.0072    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

Step-by-step explanation:

Data given and notation    

X_{1}=410 represent the number of people indicating that their financial security was more than fair  in 2012

X_{2}=315 represent the number of people indicating that their financial security was more than fair in 2010

n_{1}=1000 sample 1 selected  

n_{2}=900 sample 2 selected  

p_{1}=\frac{410}{1000}=0.410 represent the proportion estimated of people indicating that their financial security was more than fair in 2012

p_{2}=\frac{315}{900}=0.350 represent the proportion estimated of people indicating that their financial security was more than fair in 2010  

\hat p represent the pooled estimate of p

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  

Part a: Concepts and formulas to use    

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

Null hypothesis:p_{1} = p_{2}    

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

Hypothesis testing

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{410+315}{1000+900}=0.382  

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{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688    

Statistical decision  

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

p_v =2*P(Z>2.688)= 0.0072    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

3 0
3 years ago
Matt uses a compass and straightedge to construct parallel lines. Annie uses technology to construct parallel lines. In your own
pishuonlain [190]
Matt will be different because he is basically free handing it and everyone has human errors. but since she is using the technology she shouldn't mess up.
6 0
3 years ago
Read 2 more answers
Other questions:
  • BRAINLIEST ASAPPPPPPPPP
    8·1 answer
  • Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
    6·1 answer
  • Look at the drawing of a triangle within a rectangle triangle in the rectangle have the same base and height is the area of a tr
    14·1 answer
  • Alvin is 6 years older than Elga. The sum of their ages is 106 . What is Elga's age?
    15·2 answers
  • Is -33/100 or -0.3 with bar notation greater than, less than, or equal?
    5·1 answer
  • Write in form a√b √20×√2
    13·2 answers
  • You earn $42 for washing 7 cars. How much do you earn for washing one car? How much do you earn for washing 3 cars? How much do
    10·1 answer
  • You want to put a fence around your large yard. There are two companies that you have found to do the work. They have each given
    12·1 answer
  • I will give brainly help.
    15·2 answers
  • What is the sum of 2,480 - 170
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!