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Black_prince [1.1K]

3 years ago

10

The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is n

ot a pearl?

1 answer:

tatiyna3 years ago

6 0

Answer:

the probability is 1/3

Step-by-step explanation:

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at a local gym you can either pay $90 for a monthly pass then pay $4 each time you go to the gym or you can pay $13 each time yo

Inessa [10]

Answer:

10

Step-by-step explanation:

5 0

3 years ago

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars. What is the mean absolute deviat

Daniel [21]

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then the mean absolute deviation of the number of cars is 0.7

<h3>What is the mean absolute deviation?</h3>

The mean absolute deviation of a data set is the average of the absolute deviations from a central point .

Data we have is

1,1,2,2,2,4

Mean can be calculated as

$&\text { Mean }=\frac{1+1+2+2+2+4}{6}\\ \\&\text { Mean }=\frac{12}{6} \\\\&\text { Mean }=2$

Absolute value between the data points and mean can be calculated as :

$\begin{aligned}&|1-2|=1 \\&|1-2|=1 \\&|2-2|=0 \\&|2-2|=0 \\&|2-2|=0 \\&|4-2|=2\end{aligned}$

Now mean absolute deviation can be calculated as :

$\begin{aligned}&\frac{1+1+0+0+0+2}{6} \\\\&=\frac{4}{6} \\\\&=0.66\end{aligned}$$$

Rounding to nearest ten

mean absolute deviation=0.7

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then the mean absolute deviation of the number of cars is 0.7

To learn more about mean absolute deviation visit :brainly.com/question/17381861

6 0

2 years ago

A certain candle is designed to last nine hours. However, depending on the wind, air bubbles in the wax, the quality of the wax,

Ierofanga [76]

Answer:

Step-by-step explanation:

a) P(X > 6) = (9.5-6)/(9.5-5.5) = 3.5/4 = 0.875

b) P(X < 7) = (7-5.5)/(9.5-5.5) = 1.5/4 = 0.375

c) E(X) = (9.5+5.5)/2 = 7.5

Standard deviation = (9.5-5.5)/sqrt(12) =4/3.46 = 1.154

P= 1.156*2/(9.5-5.5) = 2.308/4 = 0.577

d) P(X > t) = 0.25

(9.5-t) /(9.5-5.5) = 0.3

9.5-t = 1.2

t = 9.5-1.2 = 8.3

5 0

3 years ago

There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then level

aliya0001 [1]

Answer:

$d = 787.81cm^3$

Step-by-step explanation:

Given

See attachment for the containers

Required

The difference in the amount of snow cone they hold

The amount they hold is determined by calculating the volume of the containers.

The traditional snow cone has the following dimension

Shape: Cone

$r=4cm$ --- radius

$h = 13cm$ --- height

The volume is calculated as:

$Volume = \frac{1}{3} \pi r^2h$

So, we have:

$V_1 = \frac{1}{3} \pi * 4^2 * 13$

$V_1 = \frac{208}{3} \pi$

The snow cone in a cup has the following dimension

Shape: Cylinder

$r=8cm$ --- radius

$h = 5cm$ --- height

The volume is calculated as:

$Volume = \pi r^2h$

So, we have:

$V_2 = \pi *8^2 * 5$

$V_2 = \pi *320$

$V_2 = 320\pi$

The difference (d) in the amount they hold is:

$d = V_2 - V_1$

$d = 320\pi - \frac{208\pi}{3}$

Take LCM

$d = \frac{3*320\pi -208\pi}{3}$

$d = \frac{960\pi -208\pi}{3}$

$d = \frac{752\pi}{3}$

Take $\pi = 22/7$

$d = \frac{752}{3} * \frac{22}{7}$

$d = \frac{752 * 22}{3*7}$

$d = \frac{16544}{21}$

$d = 787.81cm^3$

4 0

3 years ago

Write the equation of a line perpendicular to 9x−4y=−5 that passes through the point (−9,3).

Oksana_A [137]

Answer:

4x + 9y = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x - 4y = - 5 ( subtract 9x from both sides )

- 4y = - 9x - 5 ( divide terms by - 4 )

y = $\frac{9}{4}$ x + $\frac{5}{4}$ ← in slope- intercept form

with slope m = $\frac{9}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{9}{4} }$ = - $\frac{4}{9}$ , then

y = - $\frac{4}{9}$ x + c ← is the partial equation

To find c substitute (- 9, 3 ) into the partial equation

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = - $\frac{4}{9}$ x - 1 ( multiply through by 9 to clear the fraction )

9y = - 4x - 9 ( add 4x to both sides )

4x + 9y = - 9 ← equation in standard form

3 0

3 years ago