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EastWind [94]
3 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]3 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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Solve.
bixtya [17]

Answer:

-3 ± 2\sqrt{3} = x

Step-by-step explanation:

x² + 6x + 9 = 12 → x² + 6x - 3

Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:

x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}

-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} =   -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}

√48 = √[3 × 16] = 4√3

½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

-3 ± 2√3

I am joyous to assist you anytime.

7 0
3 years ago
Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortga
Westkost [7]

Answer:

total payment = $563,760

Interest = $383,760

Principal part = $66

Step-by-step explanation:

(a) total payment:

n = 30 years = 360 months

monthly payment = $1,566

Total payment = $1,566 * 360 months = $563,760

(b) interest:

Total payment = $563,760

Principal = $180,000

Total payment = Principal + Interest

Interest = Total payment - Principal

Interest = $563,760 - $180,000 = $383,760

(c) part of first payment applied to the principal:

First payment = $1,566

Principal = $180,000

Interest rate = 10% yearly = 10% / 12 = 0.8333% = 0.008333 monthly

Monthly interest = Principal * Interest rate = $180,000 * 0.008333 = $1,500

Principal part = $1,566 - $1,500 = $66

Hope this helps!

4 0
3 years ago
I NEED HELP!!!!!!!!!
ANEK [815]

Answer:

the number --4

Step-by-step explanation:

-7--4=-3

-3--4=1

1--4=5

5--4=9

3 0
3 years ago
Factor the common factor out of 8x3 + 12x. please help asap.
Hitman42 [59]
So 8x3 = 24

24 + 12x
the common factor is 12
so you divide everything by 12
24 ÷ 12 = 2
12x ÷ 12 = x

final answer: 12 (2+x)
8 0
3 years ago
Parker rolled a number cube 50 times the three appeared 12 times what is the experimental probability of rolling a 3
horsena [70]
12/50 is the probability of rolling a 3
12/50= He has a 24% chance of rolling a three
3 0
3 years ago
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