This is a function true or false

Help me please…….. Are B,E,and A collinear

Andrew [12]

It can be a yes because the line cross and make a perpendicular

5 0

3 years ago

A company services home air conditioners. It is known that times for service calls follow a normal distribution with a mean of 7

SCORPION-xisa [38]

Answer:

The probability that exactly eight of them take more than 93.6 minutes is 5.6015 $\times 10^{-6}$ .

Step-by-step explanation:

We are given that it is known that times for service calls follow a normal distribution with a mean of 75 minutes and a standard deviation of 15 minutes.

A random sample of twelve service calls is taken.

So, firstly we will find the probability that service calls take more than 93.6 minutes.

Let X = times for service calls.

So, X ~ Normal( $\mu=75,\sigma^{2} =15^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 75 minutes

$\sigma$ = standard deviation = 15 minutes

Now, the probability that service calls take more than 93.6 minutes is given by = P(X > 93.6 minutes)

P(X > 93.6 min) = P( $\frac{X-\mu}{\sigma}$ > $\frac{93.6-75}{15}$ ) = P(Z > 1.24) = 1 - P(Z $\leq$ 1.24)

= 1 - 0.8925 = 0.1075

The above probability is calculated by looking at the value of x = 1.24 in the z table which has an area of 0.8925.

Now, we will use the binomial distribution to find the probability that exactly eight of them take more than 93.6 minutes, that is;

$P(Y = y) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; y = 0,1,2,3,.........$

where, n = number of trials (samples) taken = 12 service calls

r = number of success = exactly 8

p = probability of success which in our question is probability that

it takes more than 93.6 minutes, i.e. p = 0.1075.

Let Y = Number of service calls which takes more than 93.6 minutes

So, Y ~ Binom(n = 12, p = 0.1075)

Now, the probability that exactly eight of them take more than 93.6 minutes is given by = P(Y = 8)

P(Y = 8) = $\binom{12}{8}\times 0.1075^{8} \times (1-0.1075)^{12-8}$

= $495 \times 0.1075^{8} \times 0.8925^{4}$

= 5.6015 $\times 10^{-6}$ .

6 0

4 years ago

How to write four-hundereths in standard form

tekilochka [14]

Answer:

0.04

Step-by-step explanation:

1 hundredth = 0.01 or 1/100

Four hundredths

4 × 0.01

0.04

6 0

4 years ago

Simplify the following (-6x³+4x²)(-2x²+2)

NikAS [45]

Answer:

Answer in the attachment

Mark brainliest pls :)

6 0

2 years ago

Read 2 more answers

Please help me guys are these true or false

Varvara68 [4.7K]

Answer:

There are integers that are not rational numbers is false

There are whole numbers that are not rational numbers is false

There are integers that are not whole numbers is true

All rational numbers are integers is false

Step-by-step explanation:

Integers are whole numbers, or numbers that aren't fractions. For example, 1 and 2 are integers, while 5/2 isn't. Integers will always be rational, as rational means that it can be represented as a fraction and the integer 2 can be represented as 2/1 as can 4/2.

Whole numbers are just positive integers.

Not all integers are whole numbers though, since negative integers would not fit the definition of whole numbers (whole numbers have to be positive)

All rational numbers are integers is false, as rational numbers include fractions such as -3/7 or 2/5, which don't cover integers.

8 0

2 years ago