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meriva
2 years ago
14

The two points shown below are reflected across the x-axis. Then, the four points are connected to form a rectangle. What is the

perimeter of this rectangle?
16 units
26 units
10 units
18 units

Mathematics
1 answer:
yan [13]2 years ago
7 0
I believe 26 units is the correct answer because you basically gotta multiply top from bottom
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Which expression represents the average of three test scores?
fomenos

Answer:

It is C

Step-by-step explanation:

trust me ☜(゚ヮ゚☜)

4 0
3 years ago
Read 2 more answers
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab
kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, X\sim N(250, 250)

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

P(235

                             =P(-0.95

Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.28

Thus, the value of P(48.

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.40

Thus, the value of P(48.

(d)

Let the sample size be <em>n</em>.

P(48

                             0.95=P(-z

The value of <em>z</em> for this probability is,

<em>z</em> = 1.96

Compute the value of <em>n</em> as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241

Thus, the sample selected must be of size 240.

5 0
3 years ago
The ratio of boys to girls in a school is 5:4. if there are 500 girls , how many boys are there in the school?
lana [24]

Answer:

The number of boys in the school is;

625

Explanation:

Given that the ratio of boys to girls in a school is 5:4;

5\colon4

And there are 500 girls in the school.

The number of boys in the school will be;

\begin{gathered} \frac{B}{G}=\frac{5}{4} \\ G=500 \\ B=\frac{5\times G}{4}=\frac{5\times500}{4} \\ B=625 \end{gathered}

Therefore, the number of boys in the school is;

625

3 0
1 year ago
PLEASE ANSWER THIS ASAP ASAP
Alex

12 = 15 (z - 1/5)

12 = 15z - 3

+3          +3

15 = 15z

15 (÷ 15) = 15z (÷ 15)

1 = z

Hope I helped!!! :)

8 0
3 years ago
If the area of a rectangular garden is 45x2−12x square meters, and it has a length of 3x meters, what is its width?
nikitadnepr [17]

Answer:

  (9x -4) meters

Step-by-step explanation:

The relationship between area, length, and width is ...

  area = length × width

Dividing by length gives ...

  width = area/length

Filling in the given expressions, we have ...

  w=\dfrac{45x^2-12x}{3x}=\dfrac{45x^2}{3x}-\dfrac{12x}{3x}=9x-4

The width of the garden is 9x-4 meters.

4 0
3 years ago
Read 2 more answers
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