Answer:
13
Step-by-step explanation:
The IQR = Interquartile Range is the difference between the first and third quartile
Rearranged data set:
3, 7, 16, 17, 20, 45
Step 1
We find the first quartile = Q1
= 1/4(n + 1)th number
n = 6
= 1/4(6 + 1)th
= 1/4(7)th
= 1 3/4th number
This = 7
Step 2
We find the third quartile = Q3
= 3/4(n + 1)th number
n = 6
= 3/4(6 + 1)th
= 3/4(7)th
= 21/4th number
= 5 1/4 th number
This = 20
Step 3
IQR = Q3 - Q1
= 20 - 7
= 13
What is the square unit of this figure?
Answer:
58
Step-by-step explanation:
Area = Area of entire recangle - area of cut out
a = (10 * 7) - (6 * 2)
a = 70 - 12
a = 58
Jeremy is conducting a survey about his coworkers’ in-office water consumption to encourage management to install more water dispensers at their location. He found that the population mean is 112.5 ounces with a standard deviation of 37.5. Jeremy has a sample size of 96. Complete the equation that Jeremy can use to find the interval in which he can be 99.7% sure that the sample mean will lie. 37.5 112.5 75 96 150 9.8
Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].
The other parameters are:
[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]
Hence, the interval is:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
To learn more about the z-distribution, you can check https://brainly.com/question/25890103
Find the slope that passes through 9,7 and 2,4
Answer:
slope is 3/7
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1
Find the surface area of a cylinder that has the following information:
Height = 30 cm
Diameter = 10 cm
Answer:
[tex]A=1099.56cm^{2}[/tex]
Step-by-step explanation:
Formula to ind surface area of cylinder:
[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]
[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]
[tex]A=1099.557443cm^{2}[/tex]
Therefore, area will be:
[tex]A=1099.56cm^{2}[/tex]
hope this helps :)
one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.
Answer:
1/4x = 15/16
Step-by-step explanation:
1/4x = 15/16
-31,-22,-33 find the 35th term
Answer:
easy bro go and use m-a-t-h w-a-y
Step-by-step explanation:
it's going to help
Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs?
Answer:
10 minutes
Step-by-step explanation:
Mario can eat e21 hot dog in 6 minutes
Let 35 hot dog eats in x minutes :
[tex]\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min[/tex]
Therefore, mario would eat 35 dogs in 10 min.
2(x-7)<-12
Help!! I need this for my math
Answer:
x < 1
Step-by-step explanation:
2(x-7)<-12
Divide by 2
2(x-7)/2<-12/2
x-7 < -6
Add 7 to each side
x-7+7 < -6+7
x < 1
ILL GIVE YOU BRAINLIEST IF ANSWERED RIGHT!!!! If the quadratic equation has the form y = ax ^2and y = ax ^2+ c, then their axis of symmetry must always be?
Answer:
x = 0
Step-by-step explanation:
The axis of the symmetry has the same x coordinate of the vertex
V (x) = -b/2a
in both equations b is equal to 0 and a 0/a number different from 0 gives always 0 as a result
What are the factors of x^2 + 8x + 12?
Answer:
(x+2)(x+6)
Step-by-step explanation:
that is the answer because math
=>x^2+8x+12
=>x^2+6x+2x+12
=>x(x+6)+2(x+6)
=>(x+6)(x+2)
Hope it helps you
What is 5/2x + 2y = 5
Answer:
y= -x+1/2
Step-by-step explanation:
A rope is 9 1/2 meters long. How many pieces can be cut from the rope if
each piece is to be 1/4 meter?
Go step by step to reduce the radical.
V216
Answer:
[tex]6\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{216}[/tex]
factorise 216
[tex]\sqrt{2*2*2*3*3*3}[/tex]
since it is square root (meaning it has index to) pair up the number
[tex]2*3\sqrt{2*3[/tex]
[tex]6\sqrt{6}[/tex]
35 points. Brainliest gets double the points.
Use an algebraic approach to solve the problem.
Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
Answer:
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Step-by-step explanation:
Use the formula for the mean: sum of elements / number of elements
Let x represent her first exam score.
Her second exam score can be represented by x + 11, since it was 11 points better than her first.
Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.
Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):
mean = sum of elements / number of elements
87 = ( (x) + (x + 11) + (x + 11) + 5 ) / 3
Add like terms and solve for x:
87 = (3x + 27) / 3
261 = 3x + 27
234 = 3x
78 = x
So, her first score was a 78.
Find her second score by adding 11 to this:
78 + 11 = 89
Find her third score by adding 5 to the second score:
89 + 5 = 94
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
which ratio is equivalent to the ratio 2:52
Answer:
1:26
Step-by-step explanation:
You can divide both sides by 2.
How many solutions does the system of equations have? Pls help :(
Given the system of equations below:
[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]
The first equation is y-isolated so we can substitute in the second equation.
[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]
Use the distribution property to expand in and simplify.
[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]
The another method is to divide the second equation by 2.
[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]
Arrange in the form of y = mx+b.
[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]
When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.
For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.
Answer
Infinitely ManyHope this helps. Let me know if you have any doubts!
A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run?
Answer:
119 or 118.726577
Step-by-step explanation:
We should use the Pythagorean Theorem to solve this problem.
a^2+ b^2=c^2
64^2+100^2=c^2
4096+10000=14096
c^2=14096
c=\sqrt{14096}14096
And the root of 14096 is 118.726577.
So the Answer is About 119 meters, or 118.726577
hope this helps!
Imperial measurements help please
Answer:
1. a. miles or feet
b. inches
c. ounces
d. gallons
2. a. 1:36
b. 1/1
c. 63,360
Step-by-step explanation:
Is 3x – 1= 7 and
3x = 8 equivalent
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Take the 1st equation & solve it :-
[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]
Now, take the second equation :-
[tex]3x = 8[/tex]
[You can't further solve this equation]
So, from the 2 solved equations we can see that,
[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]
✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Which equation could be represented by the number line?
A. 3+ (-4) = -1
B. -3 + 4 = 1
C. 1 + (-5) = -4
D. -4 + 5 = 1
9514 1404 393
Answer:
A. 3+ (-4) = -1
Step-by-step explanation:
The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.
Factor the expression. b2 + 7b − 18
Which square—large, medium, or small—covers more of the plane? In 2-3 sentences, explain your reasoning for choosing the large, medium or small square.
Answer:
The large square covers more
Step-by-step explanation:
Given
See attachment for squares
Required
Which covers more plane
The large square has the highest dimension and by extension, it has the highest area.
This means that, less large squares will be needed to cover more areas compared to other sizes of the squares.
Take for instance, the following analysis;
Large square
Dimension: 3 by 3;
[tex]Area=3*3 = 9[/tex]
Medium Square
Dimension: 2 by 2
[tex]Area = 2 * 2 = 4[/tex]
Small square
Dimension: 1 by 1
[tex]Area = 1 * 1 = 1[/tex]
The square with the largest area covers more of the plane.
Hence, the large square covers more of the plane
A line has a slope of -8 and includes the points (-10, 0) and (-9, z). What is the value of Z?
Answer:
Step-by-step explanation:
Let L be the given line, then, with a slope of -8
L : y = -8x + b
where b is to be determined from the included point A(-10,0).
Substitute point A in L to get
0 = -8 (-10) + b
solve to get
b = -80
therefore
L : y = -8x -80
Now substitute B(-9,z) in L
z = -8(-9) - 80 = -8
Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11
Answer:
Becky's age is equal to 20.
Step-by-step explanation:
The given expression is :
(7+11)-(8÷2)
Using Bodmas rule to solve it furthur,
(18)-4 = 14
According to the given condition, let the age is A.
The value is 6 less than her age,
14 = A-6
or
14+6 = A
A = 20
Hence, Becky's age is equal to 20.
Hey im confused on how to solve this. Can Anyone help me?
Answer:
The minimum unit cost is $9374.
Step-by-step explanation:
The unit cost C for making x engines is given by the quadratic function:
[tex]C(x)=0.3x^2-162x+31244[/tex]
We want to determine the minimum unit cost.
Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 0.3, b = -162, and c = 31244.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]
In other words, in order to achieve the minimum cost, only 270 engines must be made.
Then to find the minimum cost, substitute the value back into the function. So:
[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]
The minimum unit cost is $9374.
Using the box method solve (x-4)(5x+3
Answer:
= X(5x+3)-4(5x+3)
= 5x²+ 3x- 20x-12
= 5x²-17x-12
Answer:
5x(squared)-17x-20
Step-by-step explanation:
2 x10^14/8x10^9
How do you solve
Answer:
Step-by-step explanation:
[tex]\frac{2*10^{14}}{8*10^{9}}=\frac{1}{4}*10^{14-9}=\frac{1}{4}*10^{5}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
In exponent division , if bases are same, then find the difference of the exponents
A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.
What is the probability that he chooses trees of two different types? Express your answer as a percent.
30%
40%
50%
60%
Answer:
The probability that he chooses trees of two different types is 30%.
Step-by-step explanation:
Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:
3/5 x 2/4 = 0.3
2/5 x 3/4 = 0.3
Therefore, the probability that he chooses trees of two different types is 30%.
Answer:
Actually the right answer is 60%! Not 30 %! (つД｀)･ﾟ･
Step-by-step explanation:
Please Help!!!!!!!!!
Answer:
The answer is D. 3
