A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x and y axes

On a fishing trip, mark caught twenty - four fish. He caught some rock fish averaging 2.5 pounds and some blue fish averaging 8

zloy xaker [14]

He cause 14 blue fish and 10 rock fish
14x8=112 10x2.5=25 112+25=137

7 0

3 years ago

What is the midpoint between (3, -1) and (7,-5)

Alex Ar [27]

Answer:

(5, -3)

Step-by-step explanation:

given two points (x₁, y₁) and (x₂, y₂), the midpoint is $(\frac{x_1+x_2}{2} ,\frac{y_1 + y_2}{2})$

$(\frac{3+7}{2} ,\frac{-1 + -5}{2})$ = $(\frac{10}{2} ,\frac{-6}{2}) = (5, -3)$

6 0

3 years ago

Please help asap!!! i dont understand it

pshichka [43]

Answer:

a

Step-by-step explanation:

A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.

Calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)

m = $\frac{13-1}{9-(-7)}$ = $\frac{12}{9+7}$ = $\frac{12}{16}$ = $\frac{3}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{3}{4} }$ = - $\frac{4}{3}$ ← slope of perpendicular bisector

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then

midpoint = ( $\frac{-7+9}{2}$ , $\frac{1+13}{2}$ ) = ( $\frac{2}{2}$ , $\frac{14}{2}$ ) = (1, 7 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - $\frac{4}{3}$ , then

y = - $\frac{4}{3}$ x + c ← is the partial equation

To find c substitute the midpoint (1, 7) into the partial equation

7 = - $\frac{4}{3}$ + c ⇒ c = $\frac{21}{3}$ + $\frac{4}{3}$ = $\frac{25}{3}$

y = - $\frac{4}{3}$ x + $\frac{25}{3}$ ← equation of perpendicular bisector

7 0

3 years ago

Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired

Varvara68 [4.7K]

Answer:

$X \sim Binom(n=10, p=0.3)$

And for this case we want to find this probability:

$P(X =2)$

And we can use the probability mass function and we got:

$P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.3)$

And for this case we want to find this probability:

$P(X =2)$

And we can use the probability mass function and we got:

$P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233$

4 0

3 years ago

My little sister's (s......n) birthday is June 5th and I'm going to sing a song with her. The length of this song is 3.17 minute

Misha Larkins [42]

Answer:

461 seconds

Step-by-step explanation:

1 minute = 60 seconds

first song length = 197

second song length = 264

Total length of two songs = 461 seconds

Therefore , your answer is 461

5 0

3 years ago

Read 2 more answers