shawn has a bag containing seven balls: one green, one orange, one blue, one yellow, one purple, one white, and one red. All balls are equally are equally likely to be chosen. Shawn will choose one ball without looking in the bag. What is the possibility that Shawn will choose the purple ball out of the bag?

Answers

Answer 1

Answer:

Seven Balls , one of each color. Then 1/7 possibility to choose purple

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The average starting salary of this year's vocational school graduates is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of the graduates
Warehouse Club A charges its members $55 to join plus $25 Warehouse Club B charges a $10 to join plus $40 each month.
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What is the GCF of 4x^2 - 100? I'm not sure if there is even a GCF.

Find the product of the given polynomials (5x + 8 - 6x)(4 + 2x - 7)

Answers

Answer:

−2x^2+ 19x−24

Step-by-step explanation:

-2 x^2 + 19 x -24
Is the answer

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.)

Answers

Answer:

A task time of 177.125s qualify individuals for such training.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = (X - \mu)/(\sigma)$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so $\mu = 145, \sigma = 25$ .

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when $Z = 1.285$ .

$Z = (X - \mu)/(\sigma)$

$1.285 = (X - 145)/(25)$

$X - 145 = 32.125$

$X = 177.125$

A task time of 177.125s qualify individuals for such training.

The neighborhood bakery sold 513 loaves of bread last month. If it takes 3 cups of flour to make each loaf of bread, about how many cups of flour were used?

Answers

1,539 cups of flour. They sold 513 loaves and there are 3 cups of flour in each (523x3=1,539)

What is the solution of the system

Answers

$x - 2y = 4 \n x = 2y + 4 \n 3(2y + 4) + y = 5 \n 6y + 12 + y = 5 \n 7y = - 7 \n y = - 1$
x = 2(-1) + 4
x = 2

A plane leaves the airport in galisteo and flies 170 km at 68 degrees east of north; then it changes direction to fly 230 km at 36 degrees south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?

Answers

Answer:

4.68° south east 317.36 km

Step-by-step explanation:

We can find the angle between the two distances (vectors) because according to the diagram, we can draw two right triangles between them.

The complement of the 36 degree angle is 54 (90-36=54), and the complement of the 68 angle is 22, (90-68=22) the sum of 22 and 54 is 76. So the angle between the two distances is 76.

Then we apply the cosine law

$b^(2) =a^(2) +c^(2) -2*a*c*cosB\n \nb^(2) =230^(2) +170^(2) -2*230*170*cos(76)\n\nb=\sqrt{230^(2) +170^(2) -2*230*170*cos(76)} \n\nb=317.36 km$

then we apply the sin law

$(sin(C))/(c) =(sin(B))/(b) \n\nsin(C)=c*(sin(B))/(b)\n\nsin(C)=170*(sin(76))/(317.36)\n\nsin(C)=0.52\n\narcsin(0.52)=C=31.32\n\n$

and because in any triangle, the sum of the inside angles is equal to 180

$180=76+31.32+68+y\n\ny=180-76-31.32-68\n\ny=4.68^(o)$

180= 76+C+(68+Y)

y=180-76-C-68

So the emergency plane has to travel 317.36 km, 4.68° southeast.

A deep-sea diver is in search of coral reefs.he finds a beautiful one at an elevation of -120 4/7feet. While taking pictures of the reef he catches sight of a manta ray. He swims up 25 3/7feet to check it out.what is the diver's new elevation?

Answers

Answer:-95 1/7 feet

Step-by-step explanation:

-120 4/7+25 3/7=-95 1/7 feet

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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.) (a) 1 + 2 + 3 + 4 + . . . + 397 + 398 + 399 + 400 (b) 1 + 2 + 3 + 4 + . . . + 542 + 543 + 544 + 545 (c) 2 + 4 + 6 + 8 + . . . + 72 + 74 + 76 + 78