Answer:
a: 88.5
b: 91
c: 91, 93
d: 88.5 AKA: the mean value.
Step-by-step explanation:
For answer D: A mean is defined as the mathematical average of the set of two or more data values which makes is perfect for calculating an overall grade by averaging all unit points together.
Answers:
Mean = 88.5Median = 91Mode = 91 and 93 are both the modeThe median is the best measure of center=======================================================
Explanation:
Part (a)
To get the mean, first we add up the scores
89+91+94+93+93+67+90+91 = 708
Then we divide over 8 since there are 8 scores total
708/8 = 88.5
The mean is 88.5
-----------------
Part (b)
To get the median, we first need to sort the values from smallest to largest.
That sorted set looks like: {67,89,90,91,91,93,93,94}
Now cross off the first and last values to get this smaller subset: {89,90,91,91,93,93}
Repeat the last set of steps to cross off the first and last items to get {90,91,91,93}
Do this one more time to get {91,91}. The midpoint of these two values is 91, so it's the median of the entire original set.
The median is 91.
-----------------
Part (c)
The mode is {91, 93}
In other words, we have two modes and they are 91 and 93. It's perfectly possible to have more than one mode. The mode is the most frequent item(s). In this case, both 91 and 93 show up exactly twice which is the most of any other value.
As you can see, the mode isn't particularly useful as a single measure of center since we have two values instead of 1.
-----------------
Part (d)
As mentioned in the previous section, the mode isn't useful in this case. So we can rule it out. We can also rule out the mean because the value 67 is far from the group of other values (which is basically like the main cluster). We consider 67 an outlier.
The outlier pulls on the mean to be smaller than it should be. The median is a better measure of center since it's not affected by outliers.
As a real world example, consider home prices. The median price is used because of very expensive multimillion dollar mansions that greatly skew the mean to be larger than it should be.
Pls help
I don’t understand
Answer:
2916 square inches
Step-by-step explanation:
Surface area of rectangular prism:
Here, area of the top of the prism is not included.
l = 24 in ; b = 20 in ; h = 16 in
Surface area = lb + 2bh + 2lh
= 24 * 20 + 2*20*16 + 2*24 *16
= 480 + 640 + 768
= 1888 sqaure inches
Surface area of triangular prism:
length = 24 in ; a = b = 16 in ; base = 20 in and height = 13 in
[tex]\sf \text{Base area=$2*\dfrac{1}{2}*base *height = base *height$}[/tex]
= 20 * 13
= 260 square inches
Surface area = length*(a +b) + base area
= 24*(16+16) + 260
= 24 * 32 + 260
= 768 + 260
= 1028 square inches
Surface area of composite figure = 1888 + 1028
= 2916 square inches
Pls help me i am st patrick
Answer:
7
Step-by-step explanation:
15+2=17
20-17=3
So, these three people definitely like lemonade
11-3=8
So, eight people like both coffee and lemonade
15-8=7
Ans: 7 people like coffee but not lemonade
nsurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table. A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders. A survey participant is randomly selected. Let E be the event that the participant’s first motor vehicle had eight cylinders and let T be the event that the participant’s first motor vehicle was a truck. What is the value of P(E or T)? 0.03 0.14 0.17 0.28
Answer:
B. 0.14
Step-by-step explanation:
Just add the values in the eight row and truck coloum and divide by 200.
A quadrilateral is circumscribed about a circle. The sum of the lengths of its two opposite sides is 21 cm, and the radius of the circle is 5 cm. Find the area of the quadrilateral.
I will give 100 points
Answer:
105 cm²
Step-by-step explanation:
Properties of a quadrilateral circumscribed about a circle
Each side of the quadrilateral is a tangent to the circle.The sums of the measures of the opposite sides of the quadrilateral are equal. The area of the quadrilateral is half the product of its perimeter and the radius of the circle.Given:
Radius = 5 cmSum of the lengths of its two opposite sides = 21 cmTherefore, the sum of the other pair of opposites is also 21 cm.
So the perimeter = 21 + 21 = 42 cm
[tex]\implies \sf Area=\dfrac12\cdot42\cdot5=105\:cm^2[/tex]
Looking like trapezoid
area:-
1/2(sum of parallel sides)(Height)1/2(21+21)(5)1/2(42)(5)21(5)105cm²Find the functional values g (-3), g (0), and g (5) for the compound function.
g (x) = 7 if x ≤ 0
1 over x if x > 0
Answer:
[tex]g(-3)=7[/tex]
[tex]g(0)=7[/tex]
[tex]g(5)=\dfrac15[/tex]
Step-by-step explanation:
[tex]g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\\dfrac{1}{x} & \text{if } x > 0\end{cases}[/tex]
This means:
when x is equal to zero or less than zero, g(x) will always be 7.when x is more than zero, g(x) is [tex]\frac{1}{x}[/tex][tex]\implies g(-3)=7[/tex]
[tex]\implies g(0)=7[/tex]
[tex]\implies g(5)=\dfrac15[/tex]
[tex]\sf\f(x)=\grey{\begin{cases}\rm 7\quad ,x\geqslant 0\\ \rm \dfrac{1}{x}\quad ,x>0\end{cases}}[/tex]
So
-3,0 ≤05>0Hence
g(-3)=g(0)=7g(5)=1/5Simplify this expression 9Y+z
Answer:Nothing further can be done with this topic. Please check the expression.
Step-by-step explanation:
Shay walks to softball practice. She leaves her home and walks 6 blocks north. She then turns east and walks 4 more blocks to the field. How far is the softball field from Shay’s home? Pythagorean Theorem
Answer:
7
Step-by-step explanation:
(a squared) plus (b squared) equals (c squared)
(6 squared) plus (4 squared) equals (c squared)
36+16=c squared
c equals 7
Answer:
7.21 blks
Step-by-step explanation:
Pythag theorem
a^2 + b^2 = c^2
6^2 + 4^2 = c^2
52 = c^2
c = sqrt 52 = 7.21 blcks
Loren solved the equation 10 = startfraction 19 over 9 endfraction (149) b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). what error did loren make? she should have solved 10 = startfraction 9 over 19 endfraction (149) b for b. she should have solved 1 = startfraction 19 over 9 endfraction (130) b for b. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b. she should have solved 130 = startfraction 9 over 19 endfraction (1) b for b.
The error which Loren made was C. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b.
What is an Error?This refers to those miscalculations or misjudgments about a situation or a mathematical solution to give wrong values.
Hence, because Loren is solving an equation of 0 = startfraction 19 over 9 endfraction (149) b for b to find the equation of a trend line that passes through the points (1, 130) and (10, 149), the error she made was option C.
This means that using point (10,149) which takes the form (x,y) the equation will be: 149=19/9(10)+b
Read more about maths errors here:
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Answer:
C
Step-by-step explanation:
a) What is the size of angle ABC?
b) Use your answer to part a) to work out
the size of reflex angle CBD.
Give your answers to the nearest degree.
60 70
90
50
150 140 130 120 110 100
A-
10 20 30
30 40
B
100 110 120 130 140 150
80 70 60 50 40 30
mga pangungg
·D
The measure of the angle ∠ABC is 110° and the measure of the reflex angle ∠CBD is 70°.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The measure of the angle ABC will be
∠ABC = 110°
The angle ∠ABC and ∠CBD are the linear angles. Then we have
∠ABC + ∠CBD = 180°
110° + ∠CBD = 180°
∠CBD = 70°
More about the angled link is given below.
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Which of the following is a scalar quantity, and not a vector?
velocity
temperature
acceleration
displacement
Answer:
Which of the following is a scalar quantity, and not a vector?
Temperature
Step-by-step explanation:
Force: The interaction which after applying on a body changes or try to change the state of rest or state of motion is called force.
It is a vector quantity.
Temperature: The measurement of hotness is called temperature.
It is a scalar quantity.
Scalar quantities: The physical quantities which have only magnitude and no direction are
called scalar quantities or scalars.
Examples: Mass, volume, density, time, temperature, electric current, Luminious intensity, etc. Vector quantities: The physical quantities which have both magnitude and direction and obey
the laws of vector addition are called vector quantities or vectors.
HURRRYYY PLEASEE
determine the volume of the pyramids below
Step-by-step explanation:
Volume = 1/3 × (10×8) × 6
= 160 in³
need some help with the question in the image
cheers
Step-by-step explanation:
(58.29+7.26)÷5
= 59.7
159⅕ = -
root[(3.7+2.5)²+(4.2+3.1)²]
= root[(6.2)²+(7.3)²]
= root[38.44 + 53.29]
= root91.73
~ 10
a 500g packet of beans costs £1,14 and a 125g packet of the same beans costs £0,28 so packet is better value for money? show how you decide.
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
To find :-
More valuable packet of beans
Given :-
500g packet of beans = £114
125g packet of beans = £28
Solution :-
We will find out value of 100g of beans of each packet, then we will compare the value, the less will be the value, the more valuable packet is it.
Packet 1
500g of beans = £114
100g of beans
[tex] = \frac{114}{500} \times 100 \\ = \frac{114}{5} \\ = 22.8[/tex]
The 100g beans of packet 1 will cost £22.8.
Packet 2
125 g of beans = £28
100g of beans
[tex] = \frac{28}{125} \times 100 \\ = \frac{28}{5} \times 4 \\ = 5.6 \times 4 \\ = 22.4[/tex]
The 100g beans of packet 2 will cost £22.4.
Result :-
The packet 2, 125g for £28 is more valuable than packet 1, 500g for £114.
Answer:
the 125 gm packet
Step-by-step explanation:
Find the unit rate of each
1.14 /500 g = .00228 per gram
.28/128 g = .0021875 per gram <=====this is the better value (costs less per gram)
what does (d+3) represent in 4.5(d+3)=45
Answer:
(d + 3) would be 10
Step-by-step explanation:
Step 1: Distribute
[tex]4.5(d + 3) = 45[/tex]
[tex](4.5 * d) + (4.5 * 3) = 45[/tex]
[tex]4.5d + 13.5 = 45[/tex]
Step 2: Subtract 13.5 from both sides
[tex]4.5d + 13.5 - 13.5 = 45 - 13.5[/tex]
[tex]4.5d = 31.5[/tex]
Step 3: Divide both sides by 4.5
[tex]\frac{4.5d}{4.5} = \frac{31.5}{4.5}[/tex]
[tex]d = 7[/tex]
Step 4: Determine what (d+3) is
[tex](d + 3)[/tex]
[tex](7 + 3)[/tex]
[tex]10[/tex]
Answer: (d + 3) would be 10
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{4.5(d + 3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5(d) + 4.5(3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5d + 13.5 = 45}}\\\\\large\boxed{\textbf{SUBTRACT 13.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{4.5d + 13.5 - 13.5 = 45 - 13.5}}\\\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{4.5d = 45 - 13.5}}\\\\\large\boxed{\mathsf{4.5d = 31.5}}\\\\\large\boxed{\textbf{DIVIDE 4.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{\dfrac{4.5d}{4.5}= \dfrac{31.5}{4.5}}}[/tex]
[tex]\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = \dfrac{31.5}{4.5}}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark[/tex]
[tex]\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A 12 foot ladder is resting against a wall. The base of the ladder is 2.8 feet from the base of the wall.How high up the wall will the ladder reach? Show all work and round to the nearest tenth.
Answer:
≈11.7 [ft].
Step-by-step explanation:
1) the ladder and the wall form the right triangle, where the length of the ladder (12 ft) is hypotenuse and the distance between the base of the latter and the base of the wall is the shortest side.
2) the longest side can be calculated according the Pythagoras theorem:
[tex]L=\sqrt{12^2-2.8^2}=\sqrt{136.16}=11.7[ft].[/tex]
(3.6 × 10-5) ÷ (1.8 × 103)
Give your answer in standard form.
Each of the equal sides of an isosceles triangle is 5 inches more than twice the third side. If the perimeter of the triangle is 55 inches, find the sides of the triangle
Answer:
9 23 23
Step-by-step explanation:
Two sides are equal and are each 2x + 5 ( x = third side)
add the three sides to get 55 inches
2x + 5 + 2x+5 + x = 55
5x = 45
x = 9 so the sides are 9 and 23 and 23
In this box-and-whisker plot, what is the maximum value of the data?
OPTIONS :
53
56
60
68
Answer:
68
Step-by-step explanation:
As the date in the box plot ends at 68. it is the maximum value
I dont understand this question at all, please answer w/ explanation if you can
Answer:
The answer is C.
Step-by-step explanation:
3.844 X 10 w/ power of 5= 384400
2 X 10 w/ power of 3= 2000
2000 x 384400= 768800000
7.688 x 10 w/ power of 5 = 768800
Answer:
Jupiter to Sun = 7.688 * 10⁸km
Jupiter to Sun = 2 * 10³ times Earth to Moon
Substitute 3.844 * 10⁵km for Earth to Moon
Jupiter to Sun = 2 * 10³ * 3.844 * 10⁵km
Jupiter to Sun = 2 * 3.844 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10⁸km
Therefore, the answer would be C. 7.688 * 10⁸km
The diagram below shows the diameter of a circular stump. Which of the following is closest to the circumference of the stump? A) 5.495 ft² B) 9.617 ft² C) 10.99 ft² D) 38.465 ft² its 3.5 ft wide
Answer:
C. 10.99
Step-by-step explanation:
i took the test
Answer:
C. 10.99
Step-by-step explanation:
usatest prep
Using technology, we found that Juan's investment account can be modeled by the function, c(x)=3x2-2x+10, in
thousands of dollars. What was Juan's initial investment?
O $5
o $10
o $5,000
$10,000
Answer:
$10
Step-by-step explanation:
"Initial" here means "beginning." That is, time = x = 0. If we let x = 0 here we get c(0) = 10, which is the desired answer. Juan's initial investment was $10.
Find the value of x
x =
Classify the triangle :
acute isosceles triangle
acute isosceles triangle
acute scalene triangle
acute scalene triangle
obtuse isosceles triangle
obtuse isosceles triangle
obtuse scalene triangle
obtuse scalene triangle
right isosceles triangle
right isosceles triangle
right scalene triangle
right scalene triangle
equiangular equilateral triangle
The radius of a circle is 3 yards. What is the circle's circumference?
r=3 yd
Use 3.14 for .
yards
Answer: 18.84
Step-by-step explanation: Circumference is calculated as 2 × 3.14 × radius
1. Select all equations that are parallel to the line 2x + 5y = 8.
A. y = x +4
B. y = -x +4
C.y-2= (x+1)
D.y-2=-(x+1)
E. 10x + 5y = 40
The line which is parallel to the line 2x + 5y =8 is [tex]y= -\frac{2}{5} x+4[/tex] .
The correct option is (B) [tex]y= -\frac{2}{5} x+4[/tex]
What is parallel line in linear equation in two variables?
If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.
As we know the condition for two parallel line given by the equation
[tex]a_1 x+b_1y+c_1=0\\a_2x+b_2y+c_2= 0[/tex]
is:
[tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex] ≠ [tex]\frac{c_1}{c_2}[/tex]
We have the given equation as 2x + 5y =8
the equation which is parallel to 2x + 5y= 8 be
B) [tex]y= -\frac{2}{5} x+4[/tex]
5y = -2x +20
2x+5y=20
So, it satisfies the condition [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex] ≠ [tex]\frac{c_1}{c_2}[/tex]
Rest of the equation aren't satisfying the condition [tex]\frac{a_1}{a_2} \; = \; \frac{b_1}{b_2}[/tex] ≠ [tex]\frac{c_1}{c_2}[/tex].
Hence the line parallel to 2x+ 5y =8 is [tex]y= -\frac{2}{5} x+4[/tex].
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A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 15 bacteria. How many bacteria will be in the sample after 18 hours? Round your answer down to the nearest whole number
Answer:
16
Step-by-step explanation:
6 percent of 15= 0.9
0.9*18≈16
How wide is a 3 ft doorway in a 1/4 inch scale drawing?
Answer:
9 inches
Step-by-step explanation:
Convert from feet to inches by multiplying by 12:
3*12 = 36
Multiply by the scale factor of 1/4:
36*1/4 = 9
9 inches
3(8) - 15 /12x19-2x7 what is it
Answer:
-13.75
Step-by-step explanation:
solve for x
please please please no links
Answer:
x = 5
Step-by-step explanation:
Well all you have to do is use this formula
75 + 36x -3 = 180
How did I figure that out?? Well I know that the angle next to 75 is the same as 36x-3 becuase that are alternate interior angles and 75 and 36x-3 would be a linear pair meaning that the product of the them would be 180, Thus making the formula
Now all you have to do is combine like terms:
75 -3 = 72
72 + 36x = 180
subtract 72 from both sides
72 -72 = 0
180- 72 = 108
36x = 108
divide both sides by 36
X= 5
Consider a two-tailed test with a level of confidence of 99%. The p-value is determined to be 0.05; therefore, the null hypothesis ___________.
Answer:
fail to reject the null
Step-by-step explanation:
99% confidence is equivalent to .01
the p-value is > .01 so fail to reject the null
if it was < .01 you would reject the null
It took a car 3 days to travel 3106 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)
Answer:
43 mph
Step-by-step explanation:
1 day = 24 hours
3 days = 3 × 24 hours = 72 hours
The car taveled 3106 miles in 72 hours.
average speed = distance/time
average speed = (3106 miles)/(72 hours)
average speed = 43 mph
Answer: 43 mph
Explanation:
3 days is 72 hours.
R=D/T
Divide 3106 by 72
= 43 (rounded)