Hi! does anyone know how to solve this problem?

Lines DE and AB intersect at point C.

lakkis [162]

Answer:

B

Step-by-step explanation:

∠ACE and ∠ECB form a straight angle whose sum = 180°, hence

2x + 2 + 5x + 3 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25 → C

3 0

3 years ago

More help lol gvbrhf

stepan [7]

Answer:

9 at minimum

Step-by-step explanation:

a minimum of 9 because it takes a total of 8 rides to take back a full 18 cars back and the 9th ride takes back the remainder which is 0.27777777778 times 18 cars

6 0

3 years ago

Based on past experience, 1 % of the telephone bills mailed to house-holds in Hong Kong are incorrect. If a sample of 10 bills i

nikdorinn [45]

<h2>Answer with explanation:</h2>

Given : The probability that telephone bills mailed to house-holds in Hong Kong are incorrect.=0.01

<h2>Binomial distribution :-</h2>

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

If a sample of 10 bills is selected, then the probability that at least one bill will be incorrect :-

$P(x\geq1)=1-P(0)\\\\=1-^{10}C_{0}(0.1)^0(0.9)^{10}\\\\=1-(0.9)^{10}=0.6513$

Hence, the probability that at least one bill will be incorrect =0.6513

<h2>Poisson distribution: </h2>

$P(x;\mu)=\dfrac{e^{-\mu}\mu^x}{x!}$

Mean : $\mu=np=10\times0.1=1$

Then , If a sample of 10 bills is selected, then the probability that at least one bill will be incorrect :-

$P(x\geq1)=1-P(0)\\\\=1-\dfrac{e^{-1}1^0}{0!}\\\\=1-0.3678=0.6321$

Hence, the probability that at least one bill will be incorrect =0.6321

3 0

3 years ago

________ is a measure of the ratio of process outputs to inputs.

Gelneren [198K]

Process efficiency is a measure of the ratio of process outputs to inputs.

5 0

2 years ago

A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. S

pickupchik [31]

Answer:

The equations are:

$\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\$

Step-by-step explanation:

The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between $2 + \frac{4}{100}*2$ and $2 - \frac{4}{100}*2$ are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:

$\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\$

5 0

3 years ago