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AlexFokin [52]
3 years ago
9

Which number is the median? 5, 15, 16, 20, 21, 21, 23, 23, 23, 26, 26, 26, 26, 27, 27, 29, 29, 29, 29, 29, 30, 30, 30, 30

Mathematics
2 answers:
scoray [572]3 years ago
8 0

Answer:

median is 26

Step-by-step explanation:

26+26=52

52÷2=26

lesantik [10]3 years ago
3 0

Answer:

26

Step-by-step explanation:

total number of terms=24

median=(12th+13th)/2=(26+26)/2=26

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A cylinder with a volume of 45 cubic inches has a radius of three inches
Rudik [331]

Answer:The height of cylinder = 7 inches

Step-by-step explanation:

7 0
3 years ago
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Trina had 50 eggs. After using some of her eggs to make 12 batches of brownies, she has 14 eggs remaining. How many eggs did Tri
Alexeev081 [22]

Step-by-step explanation:

eggs used : 50-12= 38 eggs

\frac{38 \: eggs}{12 \: batches}  = 3.1667eggs \: per \: batch

8 0
3 years ago
PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50
evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

z=\frac{X-\mu}{\sigma}

For X = $3.75, the z-score is:

z=\frac{3.75-4.50}{0.50}\\z=-1.5

For X = $5.00, the z-score is:

z=\frac{5.00-4.50}{0.50}\\z=1

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

P=84.13-6.68\\P=77.45\%

The answer is alternative B.77.4%

8 0
3 years ago
Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s
Nataliya [291]

Answer:

f(x)=\frac{1}{2}x^2-4x+5

Step-by-step explanation:

A parabola is written in the form

f(x)=a((x-h)^2+k) (1)

where:

h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

For the parabola in the problem, we know that the vertex has  coordinates (4,-3), so we have:

h=4 (2)

ak=-3

From this last equation, we get that a=\frac{-3}{k} (3)

Substituting (2) and (3) into (1) we get the new expression:

f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3 (4)

We also know that the parabola  contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6

So we also get:

a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

6 0
3 years ago
SOMEONE PLEASE HELP ME BEFORE I FAIL
Viefleur [7K]

Answer:

4/40

Step-by-step explanation:

you can reduce this to 1/10

multiplying 4 by both 1 and 10 will give you the fraction 4/40 both can be divided by 4 and that's how it can reduce to the 1st fraction (1/10)

8 0
3 years ago
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