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Nataliya [291]
3 years ago
14

You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=-8x+360, where

x is the time in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain
and range. Then interpret the slope and intercepts of the graph.

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
strojnjashka [21]

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

p\left( X=k\right)  =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

p\left( X=3\right)  =C^{3}_{8}(0.2)^{3}(0.8)^{5}

               =0.14680064

4 0
2 years ago
Write an equation with a slope of -1/2 in each form.<br> point-slope form<br> slope-intercept form.
Evgen [1.6K]

For the case of a line through

(

2

,

7

)

and

(

1

,

−

4

)

we have

slope

m

=

Δ

y

Δ

x

=

−

4

−

7

1

−

2

=

−

11

−

1

=

11

Using the point

(

2

,

7

)

we can write the equation of the line in point slope form as:

y

−

7

=

m

(

x

−

2

)

where the slope

m

=

11

.

That is:

y

−

7

=

11

(

x

−

2

)

To get point intercept form, first expand the right hand side so...

y

−

7

=

11

x

−

(

11

⋅

2

)

=

11

x

−

22

Then add

7

to both sides to get:

y

=

11

x

−

15

=

11

x

+

(

−

15

)

This is point intercept (

y

=

m

x

+

c

) form with slope

m

=

11

and intercept

c

=

−

15

.

6 0
3 years ago
Please help with this
Murljashka [212]

Answer:

i think its b

Step-by-step explanation:

5 0
3 years ago
The assembly line that produces an electronic component of a missile system has historically resulted in a 2% defectiverate. a r
sattari [20]

<span>Defective rate can be expected to keep an eye on a Poisson distribution. Mean is equal to 800(0.02) = 16, Variance is 16, and so standard deviation is 4.
X = 800(0.04) = 32, Using normal approximation of the Poisson distribution Z1 = (32-16)/4 = 4.
P(greater than 4%) = P(Z>4) = 1 – 0.999968 = 0.000032, which implies that having such a defective rate is extremely unlikely.</span>

<span>If the defective rate in the random sample is 4 percent then it is very likely that the assembly line produces more than 2% defective rate now.</span>

3 0
3 years ago
Find the gradient of the line passing through (6,8) and (4,10)
Mariulka [41]

Question:

Find the gradient of the line passing through (6,8) and (4,10).

Answer:

-1 is the right answer.

Step-by-step explanation:

Slope of the line = The gradient of the line

Gradient of the line is known as change in the value of y-axis by change in the value of x-axis

Gradient = ∆y\∆x

Gradient = \frac{y_ 2 - y_1}{x_2 - x_1}  =  \frac{(10 - 8)}{(4 - 6)}  =  \frac{(2)}{(- 2)} =\boxed{- 1}\\

7 0
3 years ago
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