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4 years ago

9

One ball is to be selected from a box containing red, white, blue, yellow, and green balls. If the probability that the selected

ball will be red is 1/10, the probability that it will be white is 2/5, and the probability that it will be blue is 1/5, what is the probability that it will be yellow, or green

1 answer:

ZanzabumX [31]4 years ago

5 0

Answer:

30% probability that it will be yellow, or green

Step-by-step explanation:

The urn has red, white, blue, yellow, and green balls.

Each ball is chosen with the following probabilities:

1/10 = 10% probability it is red

2/5 = 40% probability it is white

1/5 = 20% probability it is blue.

p probability it is yellow or green

What is the probability that it will be yellow, or green

The sum of all probabilities is 100%. So

10 + 40 + 20 + p = 100

p = 30

30% probability that it will be yellow, or green

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If RX=4 and XS=9, then XT=<br> And how do you get it?

konstantin123 [22]

Answer:

XT=6 units

Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

Applying the Pythagorean theorem

$RS^2=RT^2+TS^2$

we have

$RS=RX+XS=4+9=13\ units$ ---> by segment addition postulate

substitute

$RT^2+TS^2=169$ ----> equation A

step 2

In the right triangle RTX

Applying the Pythagorean theorem

$RT^2=RX^2+XT^2$

we have

$RX=4\ units$

substitute

$RT^2=4^2+XT^2$

$RT^2=16+XT^2$

$XT^2=RT^2-16$ ----> equation B

step 3

In the right triangle XTS

Applying the Pythagorean theorem

$TS^2=XS^2+XT^2$

we have

$XS=9\ units$

substitute

$TS^2=9^2+XT^2$

$TS^2=81+XT^2$

$XT^2=TS^2-81$ ----> equation C

step 4

equate equation B and equation C

$TS^2-81=RT^2-16$

$TS^2-RT^2=81-16$

$TS^2-RT^2=65$ ----> equation D

step 5

Solve the system

$RT^2+TS^2=169$ ----> equation A

$TS^2-RT^2=65$ ----> equation D

Solve by elimination

Adds equation A and equation D

$RT^2+TS^2=169\\TS^2-RT^2=65\\---------\\TS^2+TS^2=169+65\\2TS^2=234\\TS^2=117$

Find the value of RT^2

$RT^2+117=169\\RT^2=52$

step 6

Find the value of XT

equation C

$XT^2=117-81\\XT^2=36\\XT=6\ units$

7 0

3 years ago

A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly.

Temka [501]

Answer:

Effective annual yield = 0.05094534 or 5.094%

Step-by-step explanation:

Given:

Rate of interest (r) = 5% = 0.05

Interest = compounded quarterly

Find:

Effective annual yield = Y

Computation:

$Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\$

Effective annual yield = 0.05094534 or 5.094%

6 0

3 years ago

Impartind numarul natural x la numarul natural y obtinem catul 3 si restul 19

IceJOKER [234]

Answer:

ok

Step-by-step explanation:

5 0

3 years ago

Help asap will mark brainliest

katen-ka-za [31]

Answer:

(-5 3/4, 1 2/3)

Step-by-step explanation:

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3 years ago

—16t^2 + 64t + 3<br> Please help as soon as possible 33 points if you do it!!

aev [14]

Answer:

51t^3

Step-by-step explanation:

64+3=67

67 +(-16)=51

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6 0

3 years ago

Read 2 more answers