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riadik2000 [5.3K]

3 years ago

7

Urgent please help. Amanda surveyed 20 juniors and seniors at delamar high school to find the number of hours per week they spen

d working at part-time jobs. Her results are shown below.
Look at picture

1 answer:

andrezito [222]3 years ago

5 0

Answer - number 1 , the range of 12 . 20

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Find an equation of the sphere with center (4, −12, 8) and radius 10.

Lorico [155]

Answer:

Step-by-step explanation:

To find an equation of the sphere with center (4, −12, 8) and radius 10

$(x-4)^2+(y+12)^2+(z-8)^2 = 100$

intersection with xy-plane

Put z=0

$(x-4)^2+(y+12)^2+(0-8)^2 = 100$

$(x-4)^2+(y+12)^2 = 36$

(A circle with centre at (4,-12) and radius 6)

intersection with xz-plane

Put y =0

$(x-4)^2+(0+12)^2+(z-8)^2 = 100$

$(x-4)^2+(z-8)^2 = -44$

Sum of squares cannot be positive, so DNE

intersection with yz-plane

Put x=0

$(0-4)^2+(y+12)^2+(z-8)^2 = 100$

$(y+12)^2+(z-8)^2 = 84$

A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84

5 0

3 years ago

_______ was the most important contribution of the Shang Dynasty.

Pavlova-9 [17]

The Shang Dynasty had several contributions to history. One of the most important and notable contribution was writing.

7 0

3 years ago

If a car agency sells 50% of its inventory of a certain foreign car equipped with side airbags, ﬁnd a formula for the probabilit

antiseptic1488 [7]

Answer:

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

$X \sim Binom(n=4, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And the distribution is given by:

$P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}$

With $X=0,1,2,3,4$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

$X \sim Binom(n=4, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And the distribution is given by:

$P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}$

With $X=0,1,2,3,4$

3 0

3 years ago

Read 2 more answers

Mario painted 2/6 of the wall in his bedroom. Mei Lyn painted 2/4 of a wall in her bedroom.

Lesechka [4]

Well I am assuming you want to compare them or something so yeah:

You have to find a common denominator of 4 & 6, so you could multiply them together, this makes 24. Because you have to do the same thing to the top and the bottom, you have to multiply 2/4 (which is now 2/24) by 6, and the 2/6 (which again is 2/24) by 4 which leaves you with 12/24 (2/4) and 8/24 (2/6).

We can simplify these fractions by dividing them, but as you may know 12 is half of 24 so 12/24 would also be 1/2.
If you keep dividing by 2 you will find that 8/24 is also equal to 1/3. This is easier to find out by the beginning number but I mentioned it anyway because I didn't understand what you were asking.

Overall if you noticed when comparing 2/4 and 2/6 we found that Mei Lyn painted more wall than Mario.

4 0

4 years ago

The functions f and g are defined as follows f(x)=-5x-3 g(x)=2x^3+2 <br> Find f(6) and g(-3)

levacccp [35]

Answer

f(6) = -33 and g(-3) = -52

Explanation;

Given the function

f(x)=-5x-3

f(6)=-5(6)-3

f(6) = -30 -3

f(6) = -33

Similarly if g(x)=2x^3+2

g(-3)=2(-3)^3+2

g(-3) = 2(-27)+ 2

g(-3) = -54 + 2

g(-3) = -52

Hence f(6) = -33 and g(-3) = -52

8 0

3 years ago