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
LenKa [72]
2 years ago
15

What is the direct variation between x and y when x=7 and y=3 1/2?

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0

Answer:

{ \tt{y  \: \alpha \: x }} \\ { \tt{y = kx}} \\  \\ { \bf{3 \frac{1}{2}  = k \times 7 }} \\ { \bf{k =  \frac{1}{2} }} \\  \\ { \tt{y =  \frac{1}{2}x }} \\  \\ { \tt{y = 0.5x}}

You might be interested in
Consider a water pipe that branches into two smaller pipes. If the flow of water is 10 L/min in the main pipe and 4 L/min in one
masha68 [24]

The water flows 6 liters per minute in the other branch of pipe.

Step-by-step explanation:

Given,

Flow of water in main pipe = 10L/min

Flow of water in one branch = 4L/min

Flow of water in other branch = x

Flow of water in main pipe = Flow in one branch + Flow in other branch

10=4+x\\10-4=x\\6=x\\x=6

The water flows 6 liters per minute in the other branch of pipe.

4 0
3 years ago
A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the avera
Veseljchak [2.6K]

Answer:

<h2>Yes, it is likely due to the significant difference in their average scores. </h2>

Step-by-step explanation:

The average number of runs scored by a Little League team in a game is 5.7. If he chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs, their average score of the five games is expressed as shown;

Average score of 5 games = (5+9+4+11+8)/5

Average score of 5 games  = 37/5

Average score of 5 games  = 7.4

Comparing the average score in 5 games to the the average number of runs scored nationally, it can be seen that their difference is 7.4 - 5.7 which is 1.7. Since the difference is quite significant, then it is most likely that his team's scores is different from the national distribution.  

7 0
3 years ago
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

5 0
3 years ago
It costs $10 to get into a carnival. It costs an
LenKa [72]

Answer:

13

Step-by-step explanation:

36-10=$26 spent on rides

26/2=13

4 0
3 years ago
Read 2 more answers
A garden snail moves 1/6 foot in 1/3 hours. what is the unit rate?
fiasKO [112]
1 hour=1/6+1/6+1/6
1 hour=3/6
1 hour=1/2

for every hour, the snail moved 1/2 a foot
8 0
3 years ago
Read 2 more answers
Other questions:
  • If y varies directly as x and k = 8, find x when y = 8<br><br> 1. 1<br> 2. 8<br> 3. 64
    5·1 answer
  • 8(10−k)=2k<br> solve for k
    8·2 answers
  • Question 2
    15·1 answer
  • The reported average cost per workbook at a large college is $27.50. A professor claims that the actual average cost per workboo
    12·1 answer
  • Solve the following inequality: <br><br> -2(x-3) &lt; -3x+8
    7·1 answer
  • Which expression is equivalent to (4x^3)(2x)^-4
    7·2 answers
  • What is the distance between these two points
    14·1 answer
  • 86 1/10 is greater than, lesser than, or equal to 0.62
    7·1 answer
  • Does anyone know the answer to this I'm k12 btw​
    8·2 answers
  • Brandon and his friend combined their allowance of $900 each, so they could buy a movie a 2-for-1 movie ticket for $1200. They b
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!