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3 years ago

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Two-fifths if one less than a number is less than three-fifths of one mira than than number. What numbers are in the solution se

t of this problem
A. X < -5
B. X > -5
C. X > -1
D. X < -1

1 answer:

Sliva [168]3 years ago

5 0

A is the correct answer

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Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/2

siniylev [52]

<u>Answer:</u> The probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

<u>Step-by-step explanation:</u>

We are given:

Probability of success of Xavier, $P(S)_{Xavier}=\frac{1}{4}$

Probability of failure of Xavier, $P(F)_{Xavier}=1-\frac{1}{4}=\frac{3}{4}$

Probability of success of Yvonne, $P(S)_{Yvonne}=\frac{1}{2}$

Probability of failure of Yvonne, $P(F)_{Yvonne}=1-\frac{1}{2}=\frac{1}{2}$

Probability of success of Zelda, $P(S)_{Zelda}=\frac{5}{8}$

Probability of failure of Zelda, $P(F)_{Zelda}=1-\frac{5}{8}=\frac{3}{8}$

We need to calculate:

The probability that Xavier and Yvonne can solve the problem but Zelda cannot, we use:

$P(S)_{Xavier}\times P(S)_{Yvonne}\times P(F)_{Zelda}=\frac{1}{4}\times \frac{1}{2}\times \frac{3}{8}=\frac{3}{64}$

Hence, the probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

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3 years ago

Katya is traveling upstream in a motor boat. She placed her hat on the seat behind her and right after she turned around, it wen

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Answer: 20 minutes.

Explanation:

Think of the water stream as being still (perhaps like a solid pavement), from the point of view of objects floating on the surface. (of course, from the POV of anyone standing on the banks, the water flows downstream). Think of the boat as a bike riding on the pavement. The boat just turned upstream and the hat fell into the water. In this POV, the hat lies on the surface and the boat/bike is riding away. For 20 minutes. Then (Katya realizes she lost the hat and turns back), the boat/bike needs exactly the same time, i.e., 20 minutes to come back to the hat, which rests at the same spot on the surface!

What makes the question initially confusing is the fact that the river flows with respect to the banks and one's mind is tempted to view the situation from there, which makes it much more complicated.

In physics this is referred to as choosing the suitable "frame of reference."

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4 years ago

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Answer:

my gurl susan walked for...

Step-by-step explanation:

1 1/3

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3 years ago

A dairy farmer distributes 660 ounces of milk products each day. The milk is packaged in 12-ounce containers. Find the number o

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55 containers were distributed each day

12(55)=660

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I can't figure this one out....Find ALL polar coordinates of point P = (6, 31°). The explanations I've found thus far don't seem

arsen [322]

Check the picture below.

so, as I see it, we can simply move from the point P, 360° counter-clockwise, the green one, and we'll be landing on a positive angle on the 1st Quadrant, the angle of 360° + 30° = 390°.

we can also move 360° clockwise, the red one, from P, so we'll be landing at -360° + 30 = -330°, also on the 1st Quadrant, but a negative counterpart.

now, if we move by jumps of 360° on either direction, we'll be landing coterminal with P all the time, so if we use simply multiply 360° by "n", some integer, then that angle added or subtracted from 30°, will be coterminal with P.

( 6 , 30°±360n°) where n ∈ ℤ.

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3 years ago