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2 years ago

lin drew a triangle and a dilation of a triangle with scale factor 1/2. what is the center of the dilation?

Mathematics

1 answer:

mylen [45]2 years ago

4 0

Bbjjjkkkmnnnjhhhhhgvvvggg

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The area of the base of a cube is 34 square meters.

nirvana33 [79]

Answer:

your answer would be 5.8

Step-by-step explanation:

8 0

3 years ago

In this problem we will be dealing with the probability density function (pdf) associated with a continuous random variable, X.

konstantin123 [22]

Answer:

$b)\ 0.568$

Step-by-step explanation:

Given

$f(x) = 6x(1- x);\ 0 \le x \le 1$

Required

$P(0.3 < x < 0.7)$

From the question, we have:

$P(a < x < b) = \int\limits^b_a {f(x)} \, dx$

So, we have:

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x(1 - x)} \, dx$

Open bracket

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x - 6x^2} \, dx$

Integrate

$P(0.3 < x < 0.7) = \frac{6x^2}{2} - \frac{6x^3}{3}}|\limits^{0.7}_{0.3}$

$P(0.3 < x < 0.7) = 3x^2 - 2x^3|\limits^{0.7}_{0.3}$

Substitute 0.7 and 0.3 for x

$P(0.3 < x < 0.7) = (3*0.7^2 - 2*0.7^3) - (3*0.3^2 - 2*0.3^3)$

Using a calculator, we have:

$P(0.3 < x < 0.7) = (0.784) - (0.216)$

Remove brackets

$P(0.3 < x < 0.7) = 0.784 - 0.216$

$P(0.3 < x < 0.7) = 0.568$

3 0

2 years ago

Brian and Zack went to the store and bought packs of gum. Brian bought 3 less packs than twice the number zack bought. Together

balu736 [363]

Answer:

Zack: 11
Brian: 19

Step-by-step explanation:

Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...

b = 2z -3 . . . . . . . Brian bought 3 fewer than twice what Zack bought

b + z = 30 . . . . . . they bought a total of 30 packs

Using the first equation to substitute into the second, we have ...

(2z -3) +z = 30

3z -3 = 30

3z = 33 . . . . . . add 3

z = 11

b = 2·11 -3 = 22 -3 = 19

_____

<em>Check</em>

b + z = 19 + 11 = 30 . . . . answer checks OK

Zack bought 11 packs; Brian bought 19 packs of gum.

3 0

3 years ago

A 10-foot ladder is leaning against a wall. If the ladder reaches 8 feet up the wall, how fare is thr base of the ladder from th

Sedaia [141]

Answer:

6ft

Step-by-step explanation:

The answer is 6 feet

Have a good day:)

7 0

2 years ago

David drives 67.5 miles in 45 minutes. If he drove three hours in total at the same rate, how far did he go?

zepelin [54]

Answer:

270 miles

Step-by-step explanation:

45 minutes = 67.5 miles

1 minute = 67.5 ÷ 45 = 1.5

3 hours = 60 x 3 = 180 minutes

180 minutes = 1.5 x 180 = 270

3 0

3 years ago