Consider the following 8 numbers, where one labelled
x
is unknown.
18, 36, 16, x, 39, 27, 8, 34
Given that the range of the numbers is 56,
work out 2 values of
x
.

Answers

Answer 1
Answers:     x = -17  and   x = 64

====================================================

Explanation

Consider three scenarios:

A) The value of x is the smallest of the set (aka the min)B) The value of x is the largest of the set (aka the max)C) The value of x is neither the min, nor the max. So 8 < x < 39.

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.


Related Questions

i have a lot of work but anyone know the answer to this one pls

Answers

Answer:

0.24

Step-by-step explanation:

Convert [tex]\frac{6}{25}[/tex] into decimal

which will give 0.24

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .9370? a. .8264 b. – 1.53 c. 1.50 d. 1.96

Answers

Answer:

z₁(s)  = - 1.53

Step-by-step explanation:

a)  Value of  z   or   z₁(s)   area to the right is .9370

 1  -  0.9370  =  0.063

Then if area to the left is   0.063     z₁(s)  = - 1.53

a water tank is filled with 10 gallons of water in 2 minutes. what is the volume of the water, in gallons, that is in the tank in 1 minute?

Answers

Answer:

5 gallons of water in 1 minute

Give all answer mark brainliest

Answers

Answer:

add 15

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

1) z=3

2) n=(-10)

3)5=5/1=5*4/4

4) 12.2

5)13/3

6)9

7) 5

8) -21/5

9) -15/2

hope it will help you

In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?

Answers

Answer:

Step-by-step explanation:

cosine W=9/41

Answer:

cos W = [tex]\frac{9}{41}[/tex]

Step-by-step explanation:

cos W = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{WY}{XW}[/tex] = [tex]\frac{9}{41}[/tex]

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. 39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44 Click here for the Excel Data File (a) Find the mean, midrange, geometric mean, and 24 percent trimmed mean. (Round your answers to 2 decimal places.)

Answers

Answer:

Mean = 31.22

Midrange = 28.50

Geometric mean = 28.74

Trimmed mean = 31.56

Step-by-step explanation:

Given the data :

39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44

Ordered data :

9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48

The mean, xbar :

Xbar = Σx / n = 999 / 32 = 31.22

The midrange : (maximum - minimum) / 2

Midrange = (48 + 9) / 2 = 57 / 2 = 28.5

Geometric mean :

(x1*x2*.. xn)^1/n

Geometric mean = (x1*x2*.. xn)^1/32 = 28.74

24% trimmed mean :

24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.

Data left :

24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42

Σx / n = 505 / 16 = 31.5625

Trimmed mean = 31.56

jucinta has two blue marbles 4 red marbles and five green marbles in the bag of the marbles are the same size she will select one marble from the bag without looking what is the probability that Justina will select green marble write your answer as a fraction​

Answers

Answer:

2+4+5 = 11. since there are 5 green marbles the answer is 5/11

What natural numbers is the solution to these 3 problems​

Answers

Answer:

according to me 4 is the answer

Step-by-step explanation:

The answer is 2, not 4.

2 times 2 is less than 7 (second problem), but 4 times 2 is not.

Also, the negative numbers can’t be the solutions because they are not natural numbers.

GUYS HELP PLS

You have 100ml of a solution that has a strength of 10mg/50ml.

This is diluted with a further 100ml of water.

How strong is the solution now per 50ml?

Answers

2x strong. I’m not to sure. I’ve done this but I forgot I’m sorry :(

Help???? Pleaseeeeeeeee.

Answers

Answer:

(x-3.5)2=15.25

JS
Find the surface area of this prism.
Round to the nearest tenth.
6.72 cm
5.78 cm
12.7 cm
[ ? ]cm?
Enter

Answers

Answer:

[tex]Area = 395.2cm^2[/tex]

Step-by-step explanation:

Given

The attached prism

Required

The surface area

This is calculated as:

[tex]Area= 2(LW + LH + WH)[/tex]

Where:

[tex]Length \to L=5.78[/tex]

[tex]Width \to W=12.7[/tex]

[tex]Height \to H=6.72[/tex]

So, we have:

[tex]Area = 2(5.78 * 12.7 + 5.78 * 6.72 + 12.7 * 6.72)[/tex]

Using a calculator, we have:

[tex]Area = 395.1832[/tex]

[tex]Area = 395.2cm^2[/tex] ---- approximated

ten more than x times 6 is 11 more than y times 4

Answers

I’m supposing you are writing an equation for this. The equation could be written as 6x+10=4y+11.

Answer:

6x+10 = 4y+11

Step-by-step explanation:

6x+10 = 4y+11

The slope intercept form is:

y = 3/2x-1/4

PLS ANSWER ASAP!!person with correct answer will be marked brainliest

Answers

the answer is 114 because angle 1 and 2 are the same measure because they are parallel lines which creates equal angles

Answer:

114

Step-by-step explanation:

angle one is vertical opposite angle and also angle on a straight line

Park View Apartments has 2 buildings Each building has 3 floors Each floor has
16 windows What is the total number of windows in the Park View Apartment
buildings?

Answers

Answer:

96

Step-by-step explanation:

The measure of ∠BAC is π/3 radians and the measure of ∠CAD is π/2 radians. What is the measure of ∠BAD?

Answers

9514 1404 393

Answer:

  5π/6 radians

Step-by-step explanation:

The whole is the sum of the parts.

  ∠BAD = ∠BAC +∠CAD

  ∠BAD = π/3 + π/2 = π(2/6 + 3/6)

  ∠BAD = 5π/6

Which phrase best describes this polygon?




convex hexagon


concave dodecagon


convex dodecagon


concave hexagon

Answers

The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The figure of hexagon is shown.

Since, We know that;

All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards is called ''Convex Hexagon''.

Here, By graph of figure;

All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards.

Hence, The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

Thus, The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

Find the Z-scores that separate the middle 22% of the distribution from the area in the tails of the standard normal distribution.
The Z scores are _____?
Find the value of z a The value of α = 0.27
The value of z 0.27 is _____
Find the Z-score such that the area under the standard normal curve to the left is 0.33
_____ is the z - score such that the area under the curve to the left is 0.33.

Answers

Answer:

0.279

0.613

-0.44

Step-by-step explanation:

The Zscore that seperates the middle 22% of the distribution ; could be obtained thus. The midpoint is the mean and the probability to either the right or left could be obtained.

To obtain the Zscore that seperates the middle 22% is equivalent to :

The probability to the left of the distribution :

P(x < (0.5 + 0.22/2) = p(x < 0.61)

Using the Z probability calculator :

P(x < 0.61) is equivalent to a Zscore of 0.279

α = 0.27

Z(1 - α) = Z(1 - 0.27) = Z0.73 = p(Z < 0.73) = 0.613

P(x < 0.33) = - 0.44 (Z probability calculator)

After sales tax, a $260 fancy watch costs $286. What is the sales tax percentage?​

Answers

Answer:

10%

Step-by-step explanation:

the difference between 260 and 286 is 26, which is 10% of 260 so 10%

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Answers

Answer:

0.05

Step-by-step explanation:

Because 1/5 divided by 4 gives you 0.05 or 1/20

0.05 times four will give you 1/5

A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200, 300, 400, and 500. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

Answer:

Probability of red marbles = 8/25

Step-by-step explanation:

Complete question

A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200, 300, 400, and 500. A marble is drawn at random from the jar. Find the probability of the given event.

a) The marble is red

Total number of marbles = 8+12+5 = 25

Probability of red marbles = total number of red marbles/Total marbles

Probability of red marbles = 8/25

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Answers

7.3149 x 10^2

That’s the most suitable answer

Please Only jack2k can answer

Answers

Answer:

Larger number is 7, and the smaller number is 3. This is because 7 + 3 = 10, and 7 - 3 = 4.

Step-by-step explanation:

Prodigy perhaps???

which of the statements below best describes the transformation of the graph of

f
(
9
x
)
?

Answers

Answer:

The transformation of the graphs is that of an expansive one as can be depicted by a value being multiplied onto the graph. This refers to an increase in the output value by the factor essentially spreading the graph out abroad.

A teenager earns $10 for every 600 square feet mowed in addition to $12 for supplies for each lawn he mows. Which function represents y, the teenager’s pay when he mows a lawn that is x square feet in size?

y = 10x + 600
y = 10x + 12
y = 1/60x + 12
y = 1/60x + 1/60

Answers

Answer: b

Step-by-step explanation: 600 is the total so, just do 10x and 12

PLEASEEEEE HELPPPPP IM BEGGINGGGG. SOMEONE PLEASEEEEEEE​

Answers

9514 1404 393

Answer:

  3.  (x, y) = (-1, -2)

  4.  (x, y) = (-8, 6)

Step-by-step explanation:

The equations are graphed in the attachments.

3. The equations of problem 3 are easily graphed using the slope and intercept. The second equation is ...

  y = 2x

when solved for y.

__

4. The equations of problem 4 may be more easily graphed using the x- and y-intercepts. These are found by dividing the constant by the coefficients of x and y, respectively. Once the intercepts are plotted, a line can be drawn through them to make the graph of the equation.

please help, me and my friend need help answering this question ;)

Answers

Answer:

[tex] 12\frac{8}{9} [/tex] cm

Step-by-step explanation:

Perimeter of the rectangle = 2(length + width)

length = 3⅚ cm

width = [tex] 2\frac{11}{18} [/tex] cm

Thus:

Perimeter = [tex] 2(3\frac{5}{6} + 2\frac{11}{18}) [/tex]

Change the fractions to improper fractions

Perimeter = [tex] 2(\frac{23}{6} + \frac{47}{18}) [/tex]

Add

= [tex] 2(\frac{69 + 47}{18} [/tex]

= [tex] 2(\frac{116}{18} [/tex]

= [tex] \frac{116}{9} [/tex]

= [tex] 12\frac{8}{9} [/tex] cm

math Question Help to solve Multiple Choice

Answers

Answer:

B. 49

Step-by-step explanation:

f(7) = 7² = 49

_______

PLEASE HELPPPPP
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).

Answers

Answer:

126

Step-by-step explanation:

1200x.021=25.20 interest per year

25.20 x 5 years = 126

assumes no compounding

Solving the following system using any method.

−3x+y=5

−2y=−6x+10

Answers

Answer:

No solution

Step-by-step explanation:

see the steps below:)

Solve
8 (d+2) – 36 = 2 + 6(1 – d)

Answers

Answer:

d=2

Step-by-step explanation:

8(d+2)-36=2+6(1-d)

Expand the equation

8d+16-36=2+6-6d

Put like terms together

8d+6d = 2+6-16+36

14d= 28

Divide 14 on both sides to get the value of d

[tex] \frac{14d}{14} = \frac{28}{14} [/tex]

d=2

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