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2 years ago

A band sold out 4 of its last 20 shows. What is the experimental probability that the band's

Mathematics

1 answer:

kykrilka [37]2 years ago

8 0

Answer:

$\frac{1}{5}$ probability

Step-by-step explanation:

P(Sold Out)= $\frac{4}{20}$

$\frac{4}{20} =\frac{1}{5}$

So since the experimental probability is the number of times an event occurs out of the total number of trials...

The answer to "what is the experimental probability that the band's next show will be sold out?" Is $\frac{1}{5}$ !!!

Hope this helped you!

Have a nice evening!

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There are 45 male teachers and 75 female teachersin a school. Find the percentage of male teachers, female teachers in the schoo

Zielflug [23.3K]

Answer:

37.5% are male

62.5% are female

Step-by-step explanation:

in total 120 teachers (45 male+75 female)

therefore:

for male

120 - 100%

45 - x% (we need to find x)

by using the butterfly method (or cross multiply) we get:

120x=100*45

x=4500/120=37.5% (male teachers)

we do the same for female but instead of using 45 we will use 75(the quantity of female theachers in school)

120x=100*75

x=7500/120=62.5%

5 0

3 years ago

Mr. and Mrs. Pierotti are remodeling their kitchen. They need 9 square yards of covering for the floor. Jackson Interiors quoted

meriva

Carpet Master would be cheaper because 6 x 9 would be 54 $$$

7 0

3 years ago

Read 2 more answers

Lines l and m are parallel

soldi70 [24.7K]

Answer:

m∠ABC = 15°

Step-by-step explanation:

Given

m∠ABC = x°
m∠BCD = 25°
m∠CDE = 55°
m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

The angles between the two middle lines are equal to:

m∠BCD - m∠ABC = m∠CDE - m∠DEF

Substitute values and solve for x:

25 - x = 55 - 3x
3x - x = 55 - 25
2x = 30
x = 15

m∠ABC = 15°

4 0

3 years ago

A newspaper carrier has $5.40 in change. He has six more quarters than dimes but five times as many nickles as quarters. How man

BigorU [14]

X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents

Add the number of each coin and set it equal to the total in cents.

x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents

x + (x + 6) + (5 * x) + (5 * 6)= 540

x + (x + 6) + 5x + 30= 540
combine like terms

7x + 36= 540
subtract 36 from both sides

7x= 504
divide both sides by 7

x= 72 dimes

x + 6= 78 quarters

5(x + 6)= 390 nickels

CHECK
72 + 78 + 390= 540
540= 540

ANSWER: There are 72 dimes, 78 quarters and 390 nickels.

Hope this helps! :)

5 0

3 years ago

The amount of time Ricardo spends brushing his teeth follows a Normal distribution with unknown mean and standard deviation. Ric

Papessa [141]

Let $X$ denote the number of minutes spent brushing his teeth, and let $\mu$ be the mean and $\sigma$ the standard deviation for this distribution.

$\mathbb P(X$

The z-score corresponding to this probability is approximately $z=-0.2533$ , which means

$\dfrac{1-\mu}\sigma=-0.2533\iff\mu-0.2533\sigma=1$

Next, (note the sign change)

$\mathbb P(X>2)=0.02\implies\mathbb P(X\le2)=\mathbb P\left(\dfrac{X-\mu}\sigma\le\dfrac{2-\mu}\sigma\right)=0.98$

The corresponding z-score is approximately $z=2.0538$ , so you have

$\dfrac{2-\mu}\sigma=2.0538\iff\mu+2.0538\sigma=2$

Solving the two equations for $\mu$ and $\sigma$ , you'll find that the mean is approximately $\mu=1.1098$ and the standard deviation is approximately $\sigma=0.4334$ .

7 0

3 years ago