Can someone please help me

The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is re

diamong [38]

Answer:

0.070

Step-by-step explanation:

Y = number on trial

Y has a negative binomial distribution

r = 3

P = 30% = 0.3 probability of positive indication.

P(Y = 11) probability of 11 employees that must be tested to get 3 positives

Y-1Cr-1*p^r*q^(y-r)

Y-1 = 11-1 = 10

r-1 = 3 -1 = 2

10C2 x 0.3³x0.7⁸

45x0.027x0.05764801

= 0.070

This is the probability that 11 employees must be tested to get 3 positives.

8 0

3 years ago

Yesterday, Jack drove 35 1/2 miles used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

insens350 [35]

Answer:

28.4 miles/gallon

Step-by-step explanation:

to find the answer, you need to find the constant by dividing the miles drove by the amount of gasoline (or the other way around in terms of wording if it is not correct grammar) So you need to do 35.5/1.25 . FYI I converted the fraction to decimal. The answer is 28.4 miles/gallon.

Hope this helped!! :)

7 0

3 years ago

What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?

leonid [27]

Answer:

V = 10,240mm^3

Step-by-step explanation:

The volume of pyramid is given by the following formula:

$V=\frac{1}{3}bh$ (1)

b: base of the pyramid = (32mm)^2

h: height

Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):

$h=\sqrt{(34)^2-(16)^2}=30mm$

by replacing in (1) you obtain:

$V=\frac{1}{3}(32mm)^2(30mm)=10,240\ mm^3$

hence, the volume is 10240mm^3

5 0

4 years ago

Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise

dangina [55]

Answer:

The equations are: $x+ y = 30$ and $x = 3y$ .

Step-by-step explanation:

We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.

Let the time spend by Brittany on the stair machine be represented by the variable $x$ .

and the time spend by Brittany on the rowing machine be represented by the variable $y$ .

Now, there are two conditions stated by her trainer;

The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;

$x + y = 30 \text{ minutes}$

The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;

$x = 3y$

So, the equations are: $x+ y = 30$ and $x = 3y$ .

These equations can be solved either using the substitution method or the elimination method.

6 0

3 years ago

Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?

Lena [83]

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

3 0

3 years ago