====================================================
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.
What natural numbers is the solution to these 3 problems
Answer:
according to me 4 is the answer
Step-by-step explanation:
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).
Answer:
126
Step-by-step explanation:
1200x.021=25.20 interest per year
25.20 x 5 years = 126
assumes no compounding
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.)
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
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.
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)
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
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
The measure of ∠BAC is π/3 radians and the measure of ∠CAD is π/2 radians. What is the measure of ∠BAD?
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
i have a lot of work but anyone know the answer to this one pls
Answer:
0.24
Step-by-step explanation:
Convert [tex]\frac{6}{25}[/tex] into decimal
which will give 0.24
Which phrase best describes this polygon?
convex hexagon
concave dodecagon
convex dodecagon
concave hexagon
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
Solving the following system using any method.
−3x+y=5
−2y=−6x+10
Answer:
No solution
Step-by-step explanation:
see the steps below:)
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?
Answer:
96
Step-by-step explanation:
PLS ANSWER ASAP!!person with correct answer will be marked brainliest
Answer:
114
Step-by-step explanation:
angle one is vertical opposite angle and also angle on a straight line
Give all answer mark brainliest
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
please help, me and my friend need help answering this question ;)
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
JS
Find the surface area of this prism.
Round to the nearest tenth.
6.72 cm
5.78 cm
12.7 cm
[ ? ]cm?
Enter
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
Solve
8 (d+2) – 36 = 2 + 6(1 – d)
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
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
Answer:
2+4+5 = 11. since there are 5 green marbles the answer is 5/11
What times 4 gives me 1/5
Answer:
0.05
Step-by-step explanation:
Because 1/5 divided by 4 gives you 0.05 or 1/20
PLEASEEEEE HELPPPPP IM BEGGINGGGG. SOMEONE PLEASEEEEEEE
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.
math Question Help to solve Multiple Choice
Answer:
B. 49
Step-by-step explanation:
f(7) = 7² = 49
_______
Help???? Pleaseeeeeeeee.
Answer:
(x-3.5)2=15.25A 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.
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
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?
Answer:
5 gallons of water in 1 minute
which of the statements below best describes the transformation of the graph of
−
f
(
9
x
)
?
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.
Please Only jack2k can answer
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???
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
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]
what is 731.49 written in standard fotm to it power
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
Answer: b
Step-by-step explanation: 600 is the total so, just do 10x and 12
ten more than x times 6 is 11 more than y times 4
Answer:
6x+10 = 4y+11
Step-by-step explanation:
6x+10 = 4y+11
The slope intercept form is:
y = 3/2x-1/4
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?
After sales tax, a $260 fancy watch costs $286. What is the sales tax percentage?
Answer:
10%
Step-by-step explanation:
the difference between 260 and 286 is 26, which is 10% of 260 so 10%