What is the third quartile of the data set? 23, 35, 55, 61, 64, 67, 68, 71, 75, 94, 99

The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than

k0ka [10]

Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

$x + 5*y + 10*z = 227$

We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

$y = z + 6\\x = 2 + 24*z$

Applying these values on the first equation, we have:

$2 + 24*z + 5*(z + 6) + 10*z = 227\\2 + 24*z + 5*z + 30 + 10*z = 227\\39*z + 32 = 227\\39*z = 227 - 32\\39*z = 195\\z = \frac{195}{39}\\z = 5$

Applying z to the formulas of y and x, we have:

$y = 5 + 6 = 11\\x = 2 + 24*5 = 122$

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

4 0

3 years ago

There are 5 red pens and 10 black pens in a cup. If a person randomly selects 3 of them, what is the probability that they're al

kolbaska11 [484]

Answer:

option a)

0.286

Step-by-step explanation:

Given that,

number of red pens in cup = 5

number of black pens in cup = 10

number of pen randomly selected = 3

There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.

probability of having all red pens = (5/15 x 4/14 x 3/13)

= 2/91

probability of having all black pens = (10/15 x 9/14 x 8/13)

= 24/91

probability that all pen are of same colour = 24/91 + 2/91

= 2/7

≈ 0.286

7 0

3 years ago

If the radius of the base is 2, and the height is 4, what is the volume of the cylinder?

MAVERICK [17]

givens
pi = 3.14
r = 2
h = 4

Formula
v = pi r^2 h

Sub and Solve
V = 3.14 * 2^2 * 4
V = 3.14 * 4 * 4
V = 3.14 * 16
V = 50.24

4 0

3 years ago

Read 2 more answers

Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ab

zhenek [66]

Answer:

test statistic is ≈ -0.36

p-value is ≈ 0.64

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

Step-by-step explanation:

a hypothesis test where H_0: mu = 235 and H_1:mu > 235

test statistic can be calculated as follows:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

sample mean driving distance (233.8 yards)

M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)

s is the standard deviation (46.6 yards)

N is the sample size (192)

Then test statistic is z= $\frac{233.8-235}{\frac{46.6}{\sqrt{192} } }$ =-0.3568

p-value is 0.64 >0.05

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

6 0

4 years ago

4. Determine whether each equation defines y as a function of x.

tatuchka [14]

Answer:

I believe it is A!!!!!

Step-by-step explanation:

I took the test E2020

3 0

3 years ago