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EastWind [94]
2 years ago
5

The set of data 9,6,12,13,9,8,13,14,h and k has a mode of 9 and a median of 10. Find the value of h and of k if h < k.

Mathematics
1 answer:
Nata [24]2 years ago
7 0

Step-by-step explanation:

9,6,12,13,9,8,13,14,h, k

mode = 9, so the h could be 9.

=> the set of data :

6,8,9,9,9,k,12,13,13,14

median = 10 , so (9+k) /2 = 10

9+k = 20

k = 20-9

k = 11

the correct answer :

h = 9 and k = 11

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Gravity pulls the metal down at 10 N, but the metal pieces RISES! At least how much force is needed to make it move upward?
prisoha [69]

Answer: Greater than 10 N

Step-by-step explanation:

Given

Gravity force on metal is 10 N

But the metal piece is rising i.e. there must be an upward force greater than 10 N

Suppose the force is F

So, we can write

\Rightarrow F>10\ N

Any force greater than 10 N is sufficient for the metal to move upwards

The greater the amount of force faster will be the movement

3 0
2 years ago
Write and solve a system of equations for the situation described below. Define your variables and write your solution as a sent
Delicious77 [7]
N = nickels and q = quarters

0.05n + 0.25q = 1.90
n = 2q + 3

0.05(2q + 3) + 0.25q = 1.90
0.10q + 0.15 + 0.25q = 1.90
0.10q + 0.25q = 1.90 - 0.15
0.35q = 1.75
q = 1.75/0.35
q = 5 ......there are 5 quarters

n = 2q + 3
n = 2(5) + 3
n = 10 + 3
n = 13 <=== there are 13 nickels
6 0
3 years ago
Please show how 1200.00 is an estimate of 31×43?
Vika [28.1K]
Ok so you round 31 to 30 and 43 to 40 and then you multiply 30 by 40 and get 1200. 1200 is the same thing as 1200.00 bc you can take off the zeros after the decimal and it will be the same. Hope this helped and if your still confused you let me know I'll try to explain it more.
4 0
3 years ago
Can someone help me with this
insens350 [35]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

R = 175 - 2x

Vertically opposite angles are equivalent to each other.

( R ) is vertically opposite ( 3x + 15 ).

Therefore:

Equation No. 2 -

R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

R = 3x + 15

175 - 2x = 3x + 15

- 2x - 3x = 15 - 175

- 5x = - 160

x = - 160 / - 5

x = 160 / 5

x = 32

Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).

Equation No. 2 -

R = 175 - 2x

R = 175 - 2 ( 32 )

R = 175 - 64

R = 111

FINAL ANSWER:

Therefore, the answer is:

R = 111

x = 32

Hope this helps! :)
Have a lovely day! <3
7 0
3 years ago
How to solve f(4) = x^2+7x-22
geniusboy [140]

Answer:

22

Step-by-step explanation:

1. Plugin 4 for each corresponding X value

2. Should look like 4^2+7(4)-22

3. Once ran through a calculator you should end up with a value of 22

6 0
2 years ago
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