2 years ago

On a spinner: P(3) = ⅜ and the p(4) = ⅓ What is the probability of getting 3 or 4

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

7 0

17/24 probability.

Also, how do you ask a question? I can't find the button.

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Simplify the square root of four over the cubed root of four. four raised to the five sixths power four raised to the one sixth

romanna [79]

Answer:

$(B)4^{1/6}$

Four raised to the one-sixth power

Step-by-step explanation:

We want to simplify: $\dfrac{\sqrt{4} }{\sqrt[3]{4} }$

First, we apply the fractional law of indices to each term.

$\text{If } a^{1/x}=\sqrt[x]{a},$ then:\\\sqrt{4}=4^{1/2}\\\sqrt[3]{4}=4^{1/3}$

We then have:

$\dfrac{\sqrt{4} }{\sqrt[3]{4} }=\dfrac{4^{1/2} }{4^{1/3} }\\$Applying the division law of indices: \dfrac{a^m }{a^n }=a^{m-n}\\\dfrac{4^{1/2} }{4^{1/3} }=4^{1/2-1/3}\\\\=4^{1/6}$

The correct option is B.

7 0

2 years ago

Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and

charle [14.2K]

Answer:

w1 = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

Step-by-step explanation:

Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)

Let <a,b,c> be direction ratio of w2.

Then, <a,b,c>. <1,-1,3> = 0

a-b+3c = 0

v = w1 + w2

(1, 2, 0) = k(1, -1, 3) + (a, b, c)

a + k = 1

b - K = 2

c - 3k = 0

Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11

So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

6 0

2 years ago

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°

tester [92]

Answer:

Since angle G is

✔ the largest

angle, the opposite side, JH, is

✔ the longest side

. The order of the side lengths from longest to shortest is

✔ HJ, GH, and GJ

Step-by-step explanation:

5 0

1 year ago

Read 2 more answers

An elevator in a tall building goes up 7 floors, then

3241004551 [841]

Answer: he started on 14th floor

Step-by-step explanation:

14 + 7 - 9 - 4 + 8 - 2= 14

It started on floor 14

5 0

2 years ago

You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the t

mamaluj [8]

For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F

Given:

Temperature at the bottom of the mountain is 74°F

The top of the mountain is 5500 feet above you

Change (reduction) in temperature is 3.3 X 5500 / 1000

= 18.15°F

Temperature at the top of the mountain is 74°F – 18.15°F

= 55.85°F

3 0

2 years ago