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3 years ago

Which graph represents the function y = 2x - 4

Mathematics

2 answers:

WARRIOR [948]3 years ago

8 0

Answer:

I will change my awnser when you tell me but what are the awnser choices

Step-by-step explanation:

Lera25 [3.4K]3 years ago

5 0

Answer: The correct option is

Step-by-step explanation: We are given to select the option that represents the following function :

Now, we know that the equation of a line passing through two points (a, b) and (c, d) is given by

Option (A) : The line passing through the points (-4, 0) and (0, 2) is

not same as equation (i).

So, option (A) is NOT correct.

Option (B) : The line passing through the points (0, -4) and (4, -2) is

not same as equation (i).

So, option (B) is NOT correct.

Option (C) : The line passing through the points (0, -4) and (2, 0) is

which is same as equation (i).

So, option (C) is CORRECT.

Option (D) : The line passing through the points (-4, 0) and (-2, 4) is

not same as equation (i).

So, option (D) is COT correct.

Thus, the correct option is (C).

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Caroline rolls a fair dice 480 times. How many times would Caroline expect to roll a six?

Gnom [1K]

A fair die has 6 sides so a 1/6 chance for each number
So divide 480/6= 80
80 times for each number, 80 for 6

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3 years ago

An office building has the dimensions shown. What is the volume of the building?

rodikova [14]

What are the dimensions of the building?

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3 years ago

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Point K is on line segment JL. Given KL = 6 and JK = 14, determine the length<br> JL.

mestny [16]

JL= 20

JK+KL= JL
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3 years ago

A prticular type of tennis racket comes in a midsize versionand an oversize version. sixty percent of all customers at acertain

svetlana [45]

Answer:

a) P(x≥6)=0.633

b) P(4≤x≤8)=0.8989 (one standard deviation from the mean).

c) P(x≤7)=0.8328

Step-by-step explanation:

a) We can model this a binomial experiment. The probability of success p is the proportion of customers that prefer the oversize version (p=0.60).

The number of trials is n=10, as they select 10 randomly customers.

We have to calculate the probability that at least 6 out of 10 prefer the oversize version.

This can be calculated using the binomial expression:

$P(x\geq6)=\sum_{k=6}^{10}P(k)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\\\P(x=6) = \binom{10}{6} p^{6}q^{4}=210*0.0467*0.0256=0.2508\\\\P(x=7) = \binom{10}{7} p^{7}q^{3}=120*0.028*0.064=0.215\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\P(x=9) = \binom{10}{9} p^{9}q^{1}=10*0.0101*0.4=0.0403\\\\P(x=10) = \binom{10}{10} p^{10}q^{0}=1*0.006*1=0.006\\\\\\P(x\geq6)=0.2508+0.215+0.1209+0.0403+0.006=0.633$

b) We first have to calculate the standard deviation from the mean of the binomial distribution. This is expressed as:

$\sigma=\sqrt{np(1-p)}=\sqrt{10*0.6*0.4}=\sqrt{2.4}=1.55$

The mean of this distribution is:

$\mu=np=10*0.6=6$

As this is a discrete distribution, we have to use integer values for the random variable. We will approximate both values for the bound of the interval.

$LL=\mu-\sigma=6-1.55=4.45\approx4\\\\UL=\mu+\sigma=6+1.55=7.55\approx8$

The probability of having between 4 and 8 customers choosing the oversize version is:

$P(4\leq x\leq 8)=\sum_{k=4}^8P(k)=P(4)+P(5)+P(6)+P(7)+P(8)\\\\\\P(x=4) = \binom{10}{4} p^{4}q^{6}=210*0.1296*0.0041=0.1115\\\\P(x=5) = \binom{10}{5} p^{5}q^{5}=252*0.0778*0.0102=0.2007\\\\P(x=6) = \binom{10}{6} p^{6}q^{4}=210*0.0467*0.0256=0.2508\\\\P(x=7) = \binom{10}{7} p^{7}q^{3}=120*0.028*0.064=0.215\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\\\P(4\leq x\leq 8)=0.1115+0.2007+0.2508+0.215+0.1209=0.8989$

c. The probability that all of the next ten customers who want this racket can get the version they want from current stock means that at most 7 customers pick the oversize version.

Then, we have to calculate P(x≤7). We will, for simplicity, calculate this probability substracting P(x>7) from 1.

$P(x\leq7)=1-\sum_{k=8}^{10}P(k)=1-(P(8)+P(9)+P(10))\\\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0168*0.16=0.1209\\\\P(x=9) = \binom{10}{9} p^{9}q^{1}=10*0.0101*0.4=0.0403\\\\P(x=10) = \binom{10}{10} p^{10}q^{0}=1*0.006*1=0.006\\\\\\P(x\leq 7)=1-(0.1209+0.0403+0.006)=1-0.1672=0.8328$

7 0

3 years ago

Please help I don't understand!

coldgirl [10]

Answer:

Step-by-step explanation:

I believe because on the other side it is AE over ED so I just repeated the pattern.

6 0

2 years ago

Which graph represents the function y = 2x - 4​

Which graph represents the function y = 2x - 4