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3 years ago

Question 1 mean and median practice

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

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4z/7 - 7 = 10 What is z??????

Luda [366]

Answer:

Here is the solution. Hope it helps.

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3 years ago

Solve for b.

MakcuM [25]

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3 years ago

Read 2 more answers

Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets for a ﬂight that holds only

bekas [8.4K]

Answer: a) 0.9961, b) 0.9886

Step-by-step explanation:

Since we have given that

Probability that does not show up = 0.10

Probability that show up = 0.90

Here, we use "Binomial distribution":

n = 125 and p = 0.90

Number of passengers that hold in a flight = 120

a) What is the probability that every passenger who shows up can take the ﬂight?

$P(X\leq 120)=\sum_{x=0}^{120}^{125}C_x(0.90)^x(0.10)^{125-x}=0.9961$

(b) What is the probability that the ﬂight departs with empty seats?

$P(X\leq 119)=\sum _{x=0}^{119}^{125}C_x(0.90)^x)(0.10)^{125-x}=0.9886$

Hence, a) 0.9961, b) 0.9886

3 0

3 years ago

The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

6 0

3 years ago

Help please asap! Struggling with math graph problem

Kay [80]

We're told (5,-2) is on the line, that's x=5, y=-2

First one y-5 = -7, (x+2)/3=7/3, not equal

Second one y+5=3, (x-2)/3=1, not equal

Third one y+2=0, (x-5)/3=0, TRUE, equal

Fourth one, y-2=-4 (5+5)/3=10/3, not equal

Answer: third choice y+2 = (1/3)(x+5)

7 0

3 years ago