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Kryger [21]
3 years ago
9

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3 The median of the

data is
Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
3 because it’s the middle number 1222(3)5788 hope I helped u out
olya-2409 [2.1K]3 years ago
5 0

Answer:

Mean: 4.4

Median: 4

Mode: 2

Range: 7

Step-by-step explanation:

Mean: you add all the numbers, and then divide that answer by two

Median: Put all the numbers in order, and then find the middle number. In this problem, we have numbers 3 and 5 left over. You add them together and divide by 2.

Mode: is the number that repeats itself the most

Range: Take the highest number and the lowest number and subtract them.

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Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts
shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0
3 years ago
HELP! Whoever gets it right gets brainliest!!
aleksandrvk [35]

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

6 0
3 years ago
The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function
blondinia [14]
⭐Hola User_______________

⭐Here is your Answer. ...!!

_______________________

↪Actually welcome to the concept of the Graphs ..

↪Basically the given half graph is a parabolic graph of equation

↪y^2 = 4ax ...

↪thus the 3 graph option is the completion of the graph in the question ..

↪Option d.)

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7 0
3 years ago
Read 2 more answers
I just need help with filling in the blanks please and thank you.
poizon [28]

Answer:1)vertice 2) interesecting

Step-by-step explanation:

4 0
3 years ago
BRAINLIEST IF RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Trevon's Custom Kitchen Supplies sells handmade forks an
AURORKA [14]

Answer:

D. 9 forks and 6 spoons

Step-by-step explanation:

Let's calculate how many forks and spoons were made.  We need to guess a pair of variable values that will add up to $24.60.  We'll do this by substituting all the possible pairs in:

Here's the pair for A:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 8) + ($1.40 * 10)]

= [$14.40 + $14]

= $28.40

Is $28.40 equal to $24.60? No, this is not correct.

Here's the pair for B:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 8) + ($1.40 * 8)]

= [$14.40 + $10.80]

= $25.20

Is $25.20 equal to $24.60? No, this is not correct.

Here's the pair for C:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 9) + ($1.40 * 9)]

= [$16.20 + $12.60]

= $28.80

Is $28.80 equal to $24.60? No, this is not correct.

Here's the pair for D:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 9) + ($1.40 * 6)]

= [$16.20 + $8.40]

= $24.60

Is $24.60 equal to $24.60? Yes, this is correct.

Therefore, we know the answer is (D) 9 forks and 6 spoons

We can also check by substituting these values to find the amount Trevon's Custom Kitchen Supplies earned last April:

[($4.60 * a) + ($5.40 * b)]

= [($4.60 * 9) + ($5.40 * 6)]

= [$41.40 + $32.40]

= $73.80

This is equal to the amount of money earned last April.

I hope this helps! Tell me if I'm wrong, please!

4 0
3 years ago
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