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amid [387]
3 years ago
7

The amount of calories you burn after riding x miles on your bike is represented by the function y=100x. Find the domain of the

function and determine whether it is discrete or continuous.
Mathematics
1 answer:
hammer [34]3 years ago
6 0
The domain is always the x axis
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70% of the students applying to a university are accepted. Assume the requirements for a binomial experiment are satisfied for 1
marshall27 [118]

Answer:

a) 0.3826

b) 0.9894

Step-by-step explanation:

We are given the following information:

We treat students accepted at university as a success.

P(students accepted at university) = 70% = 0.70

Then the number of students accepted at university follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) P( 8 or more will be accepted)

P(x \geq 8) = P(x = 8) + P(x = 9) + P(X=10)\\\\= \binom{10}{8}(0.7)^8(1-0.7)^2 +  \binom{10}{9}(0.7)^9(1-0.7)^1+ \binom{10}{10}(0.7)^{10}(1-0.7)^0\\\\= 0.2334 + 0.1210 + 0.0282\\= 0.3826

b) P(4 or more will be accepted)

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(X=2)-P(x=3)\\\\=1 - ( \binom{10}{0}(0.7)^0(1-0.7)^{10} +  \binom{10}{1}(0.7)^1(1-0.7)^9+ \binom{10}{2}(0.7)^{2}(1-0.7)^8+ \binom{10}{3}(0.7)^{3}(1-0.7)^7 )\\\\= 1 - 0.0106\\= 0.9894

6 0
3 years ago
A parallelogram has an area of 100 square units. Its perimeter is
Nonamiya [84]

good morning ☕️

___________________

Step-by-step explanation:

—Dimension1 =25 and dimension2 =4

Area=25*4=100

Perimeter=2(25+4)=2(29)=58.

—-Dimension1 =12.5 and dimension2 =8

Area=12.5*8=100

Perimeter=2(12.5 + 8)=2(20.5)=41

:).

4 0
3 years ago
If (x – 2k) is a factor of f(x), which of the following must be true? f(2k) = 0 f(–2k) = 0 A root of f(x) is x = –2k. A y interc
Ronch [10]

Answer:

f(2k0=0

Step-by-step explanation:

answer a

6 0
3 years ago
Compare the given dimensions of four triangles. Which triangle is possible to construct?
Mila [183]

Answer:

I can't see the triangles give me the coordinates

Step-by-step explanation:

8 0
2 years ago
Help me please fast and please explainnnnnn
alexira [117]

Answer:

I'm pretty sure it's 1 cup of water

You need 2 cups of pancake mix more than water so if you have 3 cups of pancake mix then you'd need 1 cup of water.

6 cups of mix = 4 cups of water

the cups of the mix is are 2 more cups than the water

3 cups of mix = 1 cup of water

I hope that helps and good luck! :)

5 0
2 years ago
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