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1 year ago

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A student purchases 6 different colored folders for her classes (red, blue, yellow, green, purple, and black). She randomly choo

ses two folders to use for her first two classes. What is the probability that her first choice is red and her second choice is blue?

2 answers:

kondor19780726 [428]1 year ago

5 0

Red is 1 out of 6 as there are 6 colors
blue is 1 out of 5 as there are 5 remaining colors to pick from

sveticcg [70]1 year ago

5 0

Answer:

The answer is

Step-by-step explanation:

1/30 or 1 out of 30

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Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has

Vlada [557]

Answer:

15 pots

Step-by-step explanation:

If you divide 75 by 5 then you get 15. So if you plant 5 seeds per pot then you will need 15 pots to plant all of the seeds.

Hope this is what you wanted.

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2 years ago

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A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect an

Nina [5.8K]

Answer:

The answer is explained below

Step-by-step explanation:

STEP 1

Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.

STEP 2

Manager can define the performance of a product using defects per million units DPMO metric

DPMO can be find by using

DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000

= 1500 - 1477/ 1 x 1500* 1,000,000

= 23/1500

= 15,333,33

The defect rate of the process can be find by

Defect rate = No. of defects/ No. of units * 100

= 1500 - 1477/1500 * 100

= 23/1500 * 100

= 1.53%

Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.

8 0

1 year ago

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Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?

horrorfan [7]

Option C: –10, –7.5, –5, –2.5, … is the sequence that could be partially defined by the recursive formula $f(n+1)=f(n)+2.5$

Explanation:

The given recursive formula is $f(n+1)=f(n)+2.5$ for $n\geq 1$ and $f(1)=-10$

We need to determine the sequence.

The sequence can be determined by substituting n = 1, 2, 3, 4,....

<u>2nd term of the sequence:</u>

Substituting n = 1 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(1+1)=f(1)+2.5$

Simplifying, we have,

$f(2)=-10+2.5=-7.5$

Thus, the 2nd term of the sequence is -7.5

<u>3rd term of the sequence:</u>

Substituting n = 2 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(2+1)=f(2)+2.5$

Simplifying, we have,

$f(3)=-7.5+2.5=-5$

Thus, the 3rd term of the sequence is -5

<u>4th term of the sequence:</u>

Substituting n = 3 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(3+1)=f(3)+2.5$

Simplifying, we have,

$f(4)=-5+2.5=-2.5$

Thus, the 4th term of the sequence is -2.5

Therefore, the sequence is –10, –7.5, –5, –2.5, …

Hence, Option C is the correct answer.

3 0

1 year ago

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

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1 year ago

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At what rate would you need to invest $12000 and make $2880 after 8 years?

lora16 [44]

Answer:

$3\%$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=8\ years\\ P=\$12,000\\I=\$2,880\\r=?$

substitute in the formula above

$2,880=12,000(8r)$

Solve for t

$2,880=96,000(r)$

$r=2,880/96,000$

$r=0.03$

Convert to percent form

$0.03*100=3\%$

4 0

2 years ago