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3 years ago

out of 30 students surveyed 17 have a dog based on these results predict how many of the 300 students in the school have a dog

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

7 0

The whole school would have 170 students that have a dog

AfilCa [17]3 years ago

7 0

One hundred seventy is the answer.

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Determine the equation of the graph with the coordinates of (4, -1)

Anon25 [30]

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

$y=\left(x-4\right)^2-1$

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only $y=\left(x-4\right)^2-1$ is the valid equation as it satisfies the given coordinate value.

For example, putting (4, -1) in the equation

$y=\left(x-4\right)^2-1$

$\left(-1\right)=\left(4-4\right)^2-1$

$-1=\left(0\right)^2-1$

$-1=0-1$

$-1=-1$

So, the equation $y=\left(x-4\right)^2-1$ is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

$y=\left(x-4\right)^2-1$

Please check, the graph is also attached.

3 0

2 years ago

Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find

liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that $\mu = 56n$ , in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that $n = \frac{1}{4}$ . So

$\mu = 56n = \frac{56}{4} = 14$

The variance is also 14, which means that the standard deviation is $\sqrt{14} = 3.74$

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

4 0

2 years ago

A square and a rectangle have the same perimeter. Find the side lengths of each figure.

aliina [53]

X + 1 + X + 1 + X +1+ X +1 = 2X -3+ 2X -3+ X -1+ X -1
4x + 4 = 4x-6+2x-2
4x+4=6x-8
12=2x
6=x

Side lengths:
6-1=5
6+1=7
2(6)-3=9

Hope that helps! Stay safe!

4 0

3 years ago

Read 2 more answers

A high school as the department that 40 soccer uniforms at a cost of $3000 after soccer season they return some of the uniform i

love history [14]

$3000 divided by 40 = 75...Mark as brainliest.......

6 0

3 years ago

Jason invests $1000 at a bank that offers 3% compounded annually. Write an equation to model the growth of the investment

MissTica

Y=1000*1.03^x is the correct compound recursive formula!

3 0

3 years ago