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
tatyana61 [14]
3 years ago
9

Imena's math test scores are 83, 93, 78, 89, and 83. She has one more math test this semester. What score most she get on the te

st to have a median score of 85?
Mathematics
2 answers:
marshall27 [118]3 years ago
8 0
87 is the median because 83 and 87's average is 85.
ASHA 777 [7]3 years ago
5 0
Mean = (83 + 93 + 78 + 89 + 83 + x)/6
85 = (426 + x)/6

Multiply both sides by 6 to remove the denominator on the RHS of the equation
85 * 6 = [(426 + x)/6] * 6
510 = 426 + x
510 - 426 = x
84 = x

x = 84
She has to get a score of 84 to have a median score of 85.

You might be interested in
Ratio of 55 paise is to 1 rupees<br>​
erastovalidia [21]

Answer:

You have to equal the unit first,

as 1 Rupee = 100 paise,

so,

55paise: 100paise,

= 11:20

I hope it hepled : )

6 0
3 years ago
Read 2 more answers
Q(t)=Qoe^-kt May be used to model radioactive decay. Q representing the quantity remaining after t years, k is the decay constan
djyliett [7]
Here you go, hope this helps 

5 0
3 years ago
Read 2 more answers
Prove cosh 3x = 4 cosh^3 x - 3 cosh x.
Snezhnost [94]
Prove we are to prove  4(coshx)^3 - 3(coshx) we are asked to prove 4(coshx)^3 - 3(coshx) to be equal to cosh 3x
= 4(e^x+e^(-x))^3/8 - 3(e^x+e^(-x))/2 = e^3x /2 +3e^x /2 + 3e^(-x) /2 + e^(-3x) /2 - 3(e^x+e^(-x))/2 = e^(3x) /2 + e^(-3x) /2 = cosh(3x) = LHS Since y = cosh x satisfies the equation if we replace the "2" with cosh3x, we require cosh 3x = 2 for the solution to work. 
i.e. e^(3x)/2 + e^(-3x)/2 = 2 
Setting e^(3x) = u, we have u^2 + 1 - 4u = 0 
u = (4 + sqrt(12)) / 2 = 2 + sqrt(3), so x = ln((2+sqrt(3))/2) /3, Or u = (4 - sqrt(12)) / 2 = 2 - sqrt(3), so x = ln((2-sqrt(3))/2) /3, 
Therefore, y = cosh x = e^(ln((2+sqrt(3))/2) /3) /2 + e^(-ln((2+sqrt(3))/2) /3) /2 = (2+sqrt(3))^(1/3) / 2 + (-2-sqrt(3))^(1/3) to be equ
= 4(e^x+e^(-x))^3/8 - 3(e^x+e^(-x))/2 
= e^3x /2 +3e^x /2 + 3e^(-x) /2 + e^(-3x) /2 - 3(e^x+e^(-x))/2 
= e^(3x) /2 + e^(-3x) /2 
= cosh(3x) 
= LHS 

<span>Therefore, because y = cosh x satisfies the equation IF we replace the "2" with cosh3x, we require cosh 3x = 2 for the solution to work. </span>

i.e. e^(3x)/2 + e^(-3x)/2 = 2 

Setting e^(3x) = u, we have u^2 + 1 - 4u = 0 

u = (4 + sqrt(12)) / 2 = 2 + sqrt(3), so x = ln((2+sqrt(3))/2) /3, 
Or u = (4 - sqrt(12)) / 2 = 2 - sqrt(3), so x = ln((2-sqrt(3))/2) /3, 

Therefore, y = cosh x = e^(ln((2+sqrt(3))/2) /3) /2 + e^(-ln((2+sqrt(3))/2) /3) /2 
= (2+sqrt(3))^(1/3) / 2 + (-2-sqrt(3))^(1/3)
3 0
4 years ago
Identify the square root of the following. *<br> √196
Fynjy0 [20]

Answer:

14

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Help! ASAP pls There is a frog dead in the center of the pond on a lily pad. The pond is 7 meters in diameter. There are 6 lily
Leokris [45]

Answer:

Approximately 2 days.

Step-by-step explanation:

The frog can only jump 3 lily pads each day.

24 hours = 1 day

\frac{24}{3} = 8 hours

Thus, it would take the frog 8 hours to cover a lily pad.

To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).

So that;

Total time required to get to the edge of the pond can be determined by;

6.5 × 8 hours = 52 hours

Number of days to get to the edge of the pond = \frac{52}{24}

                                                                    = 2.2

It would take him approximately 2 days to get to the edge of the pond.

3 0
3 years ago
Other questions:
  • a bag of marbles contains 8 red marbles, 4 blue marbles, and 5 white marbles. tom picks a marble at random. is it more likely th
    15·1 answer
  • Mr Luke drove 5.4 miles in 9 minutes and his brother drove 4.2 miles in 7 minutes which driver might go father in 1 minute
    5·2 answers
  • 12x + 4y = 152 32x + 12y = 420 what is y?
    6·1 answer
  • How to expand and simplify (2x+3y)(x-y)
    15·2 answers
  • Use the distributive property to write an equivalent expression. 8(12-5)
    15·1 answer
  • How many two third ounce slice of cheese in twenty four ounce package​
    12·1 answer
  • What 18/25 as a percent and decimal
    7·2 answers
  • All changes
    7·1 answer
  • On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for a
    8·1 answer
  • Hey!!! Can anyone help me please!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!