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3 years ago

Using the picture below, which angle is alternate exterior to angle 2?

Mathematics

1 answer:

kenny6666 [7]3 years ago

4 0

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

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Is (-1,3) a solution to the system: y=4x+1 Y=x - 2

yulyashka [42]

Answer: no the solution is (-1,-3)

Step-by-step explanation:

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3 years ago

Read 2 more answers

2 < 17 ÷ e <br><br>please help I don't know how to solve this

IceJOKER [234]

I don't know either because I don't know what the e equals to

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3 years ago

1. Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.

erica [24]

Answer:

m-9=42

Step-by-step explanation:

An amount subtracted by $9 is $42.

(an amount is unknown, so it is represented with variable, m)

m-9=42

7 0

3 years ago

The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In 7 traffic

Luden [163]

Answer:

$P(X=3)=0.2903\\\\P(X \geq 3)=0.5801\\\\P(X\leq 3)0.7102$

$P(2\leq x\leq 4 )=0.7451$

c. mean=2.8

d . standard deviation=1.2961

Step-by-step explanation:

We determine that the accident rates follow a binomial distribution. The rate of success p=0.4 and sample n=7:

$P(x)={n\choose x}p^x(1-p)^{n-x}$

#the probability of exactly three;

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={7\choose 3}0.4^3(0.6)^{4}\\\\=0.2903$

#At least(more than 2)

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 3)=1-P(X\leq 2)\\\\=1-{7\choose 0}0.4^0(0.6)^{7}-{7\choose 1}0.4^1(0.6)^{6}-{7\choose 2}0.4^2(0.6)^{5}\\\\=1-0.0280-0.1306-0.2613\\\\=0.5801$

#At most 3;

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X \leq 3)={7\choose 0}0.4^0(0.6)^{7}+{7\choose 1}0.4^1(0.6)^{6}+{7\choose 2}0.4^2(0.6)^{5}+{7\choose 3}0.4^3(0.6)^{4}\\\\\\\=0.0280+0.1306+0.2613+0.2903\\\\=0.7102$

b. Between 2 and 4:

Using the binomial expression, this probability is calculated as:

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(2\leq x\leq 4 )={7\choose 2}0.4^2(0.6)^{5}+{7\choose 3}0.4^3(0.6)^{4}+{7\choose 4}0.4^4(0.6)^{3}\\\\\\\\\=0.2613+0.2903+0.1935\\\\=0.7451$

Hence,the probability of between 2 and four is 0.7451

c. From a above, we have the values of n=7 and p=0.4.

-We substitute this values in the formula below to calculate the mean:

-The mean of a binomial distribution is calculated as the product of the probability of success by the sample size, mean=np:

$\mu=np, n=7, p=0.4\\\\\mu=7\times 0.4\\\\=2.8$

Hence, the standard deviation of the sample is 2.8

d. From a above, we have the values of n=7 and p=0.4

--We substitute this values in the formula below to calculate the standard deviation

-The standard deviation a binomial distribution is given as:

$\sigma={\sqrt {np(1-p)}\\\\=\sqrt{7\times 0.4\times 0.6}\\\\=1.2961$

Hence, the standard deviation of the sample is 1.2961

4 0

3 years ago

Jamie's older brother and his three friends want to split the cost of lunch they also want to leave a 15% tip how much should ea

goldfiish [28.3K]

Answer:
$22.43

Explanation:
We can start by finding the amount that they should tip. The total bill is $78, so we should take 15% of 78 and add it to the total.
0.15 * 78 = 11.7
78 + 11.7 = 89.7
This means that the total cost of the bill, with a tip, is $89.70.
Since there are 4 people, we have to split this total into 4 if they all want to pay equally.
89.70 / 4 = 22.425 = $22.43 !

Hope this helps

4 0

3 years ago