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dusya [7]
2 years ago
6

Find the length of the median and the missing base. Be sure to show all your work. NO LINKS!!!​

Mathematics
2 answers:
wel2 years ago
8 0

Answer:

YZ =  12, ML = 11

Step-by-step explanation:

The median is half the sum of the parallel bases, that is

YZ = \frac{KN+LM}{2}

4x - 16 = \frac{13+2x-3}{2} ( multiply both sides by 2 to clear the fraction )

8x - 32 = 10 + 2x ( subtract 2x from both sides )

6x - 32 = 10 ( add 32 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

Then

YZ = 4x - 16 = 4(7) - 16 = 28 - 16 = 12

ML = 2x - 3 = 2(7) - 3 = 14 - 3 = 11

dezoksy [38]2 years ago
7 0

Answer:

The bottom is  11

The median is  12

Step-by-step explanation:

The median is the average of the top and bottom

(13+ 2x-3) /2 = 4x-16

Combine like terms

(10+2x)/2 = 4x-16

Divide by 2

5+x = 4x-16

Subtract x from each side

5+x-x = 4x-16-x

5 = 3x-16

Add 16 to each side

5+16 = 3x-16+16

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

The bottom is 2x-3 = 2*7-3 = 14-3 = 11

The median is 4x-16 = 4*7-16 = 28 -16 = 12

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A meuseum had x visitors on friday. On Saturday it had 150 more visitors than it did on friday. The total number of visitors on
ANTONII [103]

Answer:

75 people.

Step-by-step explanation:

If Friday is x, then Saturday is 150 + x. The number of people on Sunday then is (Friday + Saturday)/2, thus (x + (150 + x))/2. This then simplifies to (x + 150 + x)/2 ---> (2x + 150)/2 ---> 2x/2 + 150/2 ---> x + 75. So, Friday is x and Sunday is x + 75, to find out how many more visitors the museum have on Sunday than Friday, you subtract the two numbers. (x + 75) - x = 75.

8 0
3 years ago
1.Give one number that makes the inequality x + 7 > 20 true
nata0808 [166]
1. Any number above 13 works. Why? Because 20-7=13, and to be greater than 20, you must add a number larger than 13.

Examples: 14+7 > 20, 30+7 > 20, 100+7 > 20

2. Any number below 25/3 (which is also 8.3 with a repeating 3) works. Why? Because 25/3=8.3 with a repeating 3, and to remain less than 25, you must multiply by a number less than 8.3 with a repeating 3.

Examples: 3(8) < 25, 3(5) < 25, 3(0) < 25

3. 4 buses. 1 bus will hold 60 students, 2 will hold 120, 3 will hold 180, and 4 will hold 240. The question is trying to trick you into putting now 3.3333333333... buses because that's what 200/60 is, but there is no such thing as a third of a bus. So you need at least 4 buses. (There will be an extra 40 spaces for passengers on the 4th bus, but that is okay.)

To find this answer I did 200/60 and got 3.3 with a repeating 3. You must round to the higher whole number. Rounding down to 3 buses leaves you with 20 students without a bus.

4. 19 boxes. 18 boxes will only hold 288 candies. The question is trying to trick you into putting down 18.75 boxes because that's what 300/16 is, but there is no such thing as 75% of a box. So you need at least 19 boxes. (There will be an extra 4 spaces for candies in the 19th box, but that is okay.)

To find this answer I did 300/16 and got 18.75. You must round to the higher whole <span>number. Rounding down to 18 boxes leaves you with 12 candies without a box.</span>
6 0
3 years ago
2. Find the value of x for which l | | m.​
joja [24]
2x-5=95 due to the alternate interior angles thm so you just add 5 to 95 to get 2x=100 then divide by 2 to get x=50!
7 0
3 years ago
A veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses
Licemer1 [7]

Answer:

Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

Step-by-step explanation:

We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.

So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;

                    Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = average age of the random sample of horses with colic = 12 yrs

            \mu = average age of all horses seen at the veterinary clinic = 10 yrs

   \sigma = standard deviation of all horses coming to the veterinary clinic = 8 yrs

         n = sample of horses = 60

So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P(\bar X \geq 12)

   P(\bar X \geq 12) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{12-10}{\frac{8}{\sqrt{60} } } ) = P(Z \geq 1.94) = 1 - P(Z < 1.94)

                                                 = 1 - 0.97381 = 0.0262

Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

4 0
3 years ago
If t(n) 2n+3 what is the 3rd term
german
The third term is 9

t(3)=2(3)+3
6+3 = 9
3 0
3 years ago
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