Answer:
Answer: D : Median, because there is 1 outlier that affects the center
Step-by-step explanation:
Mean and median terms are use to measure the central tendency in a data set.
Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.
In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.
One of the factors of 6x3 − 864x is 4 x2 x + 12 x − 8
Your answer is x + 12
Hope this helped!
Answer:
x+12
Step-by-step explanation:
Correct on test
Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m, as shown in the diagram opposite?
Answer:
212m
Step-by-step explanation:
The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.
Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;
Since we have the angle theta = 45° and opposite = 150m
According to SOH;
Sin theta = opposite/hypotenuse.
Sin45° = 150/hyp
hyp = 150/sin45°
hyp = 150/(1/√2)
hyp = 150×√2
hyp = 150√2 m
hyp = 212.13m
Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m
By applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.
Recall:
Trigonometry ratios used to solve a right triangle are: SOH CAH TOAThe diagram describing the situation is attached below (see attachment).
Thus:
The reference angle [tex](\theta) = 45^{\circ}[/tex]
Let the length of the rope be x = Hypotenuse
Opposite = 150 m
To find the length of the rope (x), apply SOH
Thus:
[tex]Sin(\theta) = \frac{Opp}{Hyp}[/tex]
Substitute[tex]Sin(45) = \frac{150}{x}[/tex]
Multiply both sides by x[tex]x \times Sin(45) = \frac{150}{x} \times x\\\\x \times Sin(45) = 150[/tex]
Divide both sides by sin(45)[tex]\frac{x \times Sin(45)}{Sin(45)} = \frac{150}{ Sin(45)} \\\\\mathbf{x = 212 $ m}[/tex]
Therefore, by applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.
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Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 23-1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x-7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x14x-6: 22.0 inches
2x14x-6; 32.5 inches
4(2x+4x-6) 88.0 inches
4(2x +48-6:) 130.0 inches
Answer:
D. 4(2x² + 4x - 6); 130.0 inches
Step-by-step explanation:
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
Perimeter of a square = 4 * side length
1- First square pillow
length = 2x²+1 in
Perimeter of first pillow = 4 * (2x²+1) in
Second square pillow
length = 4x-7 in
Perimeter of second pillow = 4(4x-7) in
Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow
Total ribbon length required = 4(2x²+1) + 4(4x-7)
Factorise
4 is the common factor
=4(2x²+1)+(4x-7)
=4(2x²+1+4x-7)
=4(2x²+4x-6)
Total ribbon length required=4(2x²+4x-6)
If x=3.5
Total ribbon length required=4(2x²+4x-6)
=4{2(3.5)²+4(3.5)-6}
=4{2(12.25)+14-6)
=4(24.5+14-6)
=4(32.5)
=130.0 inches
Need help please will give you a 5 stars
Answer:
option 1
Step-by-step explanation:
Here (2,0)
(2-4) square -4 is = 0
Answer:
y = (x - 4)^2 - 4
Step-by-step explanation:
Here are the points work:
(4,-4) Works:
y = (4 - 4)^2 - 4
y = 0 - 4
y = -4
(6,0) Works:
y = (6 - 4)^2 - 4
y = 4 - 4
y = 0
(2,0) Works:
y = (2 - 4)^2 - 4
y = 4 - 4
y = 0
And (0,12) Works:
y = (0 - 4)^2 - 4
y = 16 - 4
y = 12
Hope this helps, and have a good day!
(brainliest would be appreciated?)
Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14
Answer:
11
Step-by-step explanation:
4=1
14=2
24=3
34=4
40=5
41=6
42=7
43=8
44=9
45=10
46=11
You will encounter 11 4s.
How to do this question plz answer me step by step plzz plz
Answer:
196
Step-by-step explanation:
Surface area of a cuboid:
2 ( lw + wh + hl)
L = Length
W = Width
H = Height
Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.
Volume = lwh; 15 x 2 x (4); So 4 is the height
So, 2 ( lw + wh + hl)
= 2 (15 x 2 + 2 x 4 + 4 x 15)
= 2 (30 + 8 + 60)
= 2 (98)
= 196 is the surface area of cuboid
Compute the range and interquartile range for the data collected for boys and girls. Describe their differences in detail using specific terms of spread. (4 points)
Answer:
The measure of central tendency, mean and median are approximately equal for the boys indicating that the data of the boys is more evenly spread while standard deviation of the girls data is less than those of the boys indicating that the data for the girls is less widely spread.
Step-by-step explanation:
The given data are;
, 1 2 3 4 5 6 7 8 9 10
Girls, 50 32 15 56 81 50 18 81 22 55
Boys, 75 41 25 22 7 0 43 12 45 70
Sorting the data gives;
Girls, 15, 18, 22, 32, 50, 50, 55, 56, 81, 81
Boys, 0, 7, 12, 22, 25, 41, 43, 45, 70, 75
For the even numbered sample data size, the first quartile, Q₁ is found by sharing the data into two and finding the median of the left half which gives;
10/2 = 5 on each half
The first quartile, Q₁, is the median of the left 5 data points which is the 3rd data point = 22 for girls and 12 for boys
The third quartile, Q₃, is found in similar method to be the 8th data point which is 56 for girls and 45 for boys
The median = 50 for girls and 33 for boys
Therefore, the interquartile ranges are;
IQR = 56 - 22 = 34 for girls, 45 - 12 = 33 for boys
We check for outliers.
Q₁ - 1.5×IQR = 22 - 1.5*34 = -29
Q₃ + 1.5×IQR = 56 + 1.5*34 = 107
We check the mean of both data samples as follows;
Average for the girls = 46
Average for the boys = 34
Standard deviation for girls = 23.99
Standard deviation for girls = 25.43
Therefore, the measure of central tendency is more accurate for the boys indicating that the data of the boys is more evenly spread while the data for the girls is less widely spread.
I Need help again! Given the following Venn diagram, choose the correct set for M n N
Answer:
{2, 3, 5, 6, 8, 9}
Step-by-step explanation:
The universal set is
U = {2, 3, 4, 5, 6, 7, 8, 9}
M = {3, 4, 7, 9}
N = {4, 6, 7}
M n N = {4, 7}
The bar above M n N means the complement of M n N which is all elements of the universal set that are not in M n N.
Answer: {2, 3, 5, 6, 8, 9}
If the Cost price of the an article is greater than the selling price, we have a ____?
Answer:
loss
Step-by-step explanation:
Selling an item for less than was paid gives a loss
Selling an item for more than was paid gives a profit
I already found the vertex, but can someone help me find the latus rectum of this parabola?
Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
1
Step-by-step explanation:
The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.
In y = x^2 +7, the leading coefficient is 1.
latus rectum = 1/|1| = 1
49*32’55” + 37*27’15” = ?
Answer:
87°10''
Step-by-step explanation:
In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720
In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240
We now add the fractional parts plus the whole part of the angles together.
So,
49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.
We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600
86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' + 1' + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''
So, 49°32'55'' + 37°27'15'' = 87°10''
what's the correct answer to this...?
Answer:
-13
Step-by-step explanation:
f(-2) = 3(-2) - 7
f(-2) = -6 - 7
f(-2) = -13
f(-2) means to replace x with -2 in the equation and solve:
3(-2) - 7 = -6 - 7 = -13
The answer is -13
Still can’t get the answer
Answer:
Arliss needs [tex]4 \frac{1}{3}[/tex] yards more.
Step-by-step explanation:
We can look at the fractions [tex]2 \frac{1}{3}[/tex] and [tex]3 \frac{1}{3}[/tex] and add them up.
Looking at the whole numbers, [tex]2+3=5[/tex].
Looking at the fractional parts, [tex]\frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex].
So all together, she currently has [tex]5 \frac{2}{3}[/tex] yards.
If she wants to get to 10, we need to find how many more yards we need.
Let's level it out quickly - having [tex]\frac{1}{3}[/tex] more of a yard will give is 6 yards.
[tex]10-6=4[/tex], so in total we added
[tex]4 \frac{1}{3}[/tex] more yards.
So she needs [tex]4 \frac{1}{3}[/tex] more yards.
Hope this helped!
Pauline has 35 cups of flour. She makes cakes that requires 2 1/4 cups each. How mant cakes can she bake using the 35 cups of flour?
Answer:
15.56
Step-by-step explanation:
Total flour available=35 cups
Each cake=2 1/4 cups
Find how many cakes Pauline can bake with 35 cups of flour
Let the number of cakes she can bake with 35 cups of flour=x
x=35 cups / 2 1/4 cups
=35÷9/4
=35×4/9
=140/9
=15 5/9 cakes
=15.56 cakes approximately
Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.67, the towel cost $21.73,
and the candle cost $9.16 before any coupons or discounts.
She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the
regular price. Which of the following best describes the amounts that Antonia saved?
use the given information to find the new price
wholesale price: $35
markup: 95%
Answer:
i think the answer is either $68.25 or $110
i hope this helped
multiple choice
a. 12 pie cm
b. 21 pie cm
c. 35 pie cm
Answer:
The correct option is;
a. 12 pie cm
Step-by-step explanation:
Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;
Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same
The volume of the square based prism = 452 cm³
Therefore, the volume of the cylinder (of equal base area) = 452 cm³
The formula for the volume of square based prism = Area of base × Height
∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm
Which gives;
Area of the base of the square based prism = 452/4 = 113 cm²
The area of the base of the cylinder [tex]A_c[/tex] = The area of the base of the square based prism = 113 cm²
The area of the base of the cylinder,[tex]A_c[/tex] is given by the following equation;
[tex]A_c[/tex] = π×r² = 113 cm²
r = √(113/π) = √35.97 ≈ √36 = 6 cm
The circumference of the base of the cylinder,[tex]C_c[/tex] is given by the following equation
[tex]C_c[/tex] = 2×π×r ≈ 2×π×6 = 12×π cm
The correct option is 12 pie cm.
Please Help Asap will give brainliest!!! M(9, 8) is the midpoint of side RS.The coordinates of S are (10, 10). What are the coordinates of R? No nonsense answers will report and give explanation plz.
the change in x is 1 and 2 in y respectively
the points are in order from r (x,y) to m (9,8) to s (10,10
if we take - 1 from x and 2 from y we will get r, or (8,6)
what is the reciprical of 4/7?
Answer:
7/4
Step-by-step explanation:
To find the reciprocal of 4/7, flip the fraction.
The numerator goes in the denominator and the denominator goes in the numerator
7/4
Answer:
7/4
Step-by-step explanation:
Keep it, change it, flip it.
HURRY PLZ WILL GIVE BRAINIEST IF I CAN 4f+4+3d-6-3f
Answer:
3d + f -2
Step-by-step explanation:
= 4f+4+3d-6-3f
= f+3d-6
= 3d+ f - 6
(b-2)x= 8
In the given equation, b is a constant. If the equation
has no solution, what is the value of b ? A) 2
B) 4
C) 6
D) 10
Answer:
2
Step-by-step explanation:
(2-2)x = 8
(0)x = 8
x = 8/0
no solution
The value of "b" that would result in the equation having no solution is A) 2.
To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).
The equation is: (b - 2)x = 8
For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.
Therefore, to make (b - 2) equal to 0, we can set:
b - 2 = 0
Adding 2 to both sides:
b = 2
So, the value of "b" that would result in the equation having no solution is A) 2.
To know more about equation"
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please help!! due soon!
Use the graph to complete the statement. O is the origin. T ο r(180°,O) : (4,2)
A. (-5, 0) B. (3, 4) C. (-3, -4) D. ( -4, -2)
Answer: D. (-4, -2)
Step-by-step explanation:
Rotating 180° about the origin means the signs for the x- and y-values are opposite.
(x, y) → (-x, -y)
(4, 2) → (-4, -2)
The coordinate after 180° of rotation will be (-4, -2). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The line is y = mx, then the point (4, 2).
The point (4, 2) is in the first quadrat.
The line is rotated by 180° about the origin.
Then the coordinate will lies in the third quadrant.
Then the value of the abscissa and ordinate will be transformed into negative.
Then the coordinate after 180° of rotation will be (-4, -2).
Then the correct option is D.
More about the transformation of a point link is given below.
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The equation of C is (x - 2)^2 + (y - 1)^2 = 25. Of the points P(0,5), Q(2,2) R(5,-2), and S(6,6), which point is located outside the circle?
Answer:
( 6,6) is outside
Step-by-step explanation:
(x - 2)^2 + (y - 1)^2 = 25
This is of the form
(x - h)^2 + (y - k)^2 = r^2
where ( h,k) is the center and r is the radius
(x - 2)^2 + (y - 1)^2 = 5^2
The center is at ( 2,1) and the radius is 5
P(0,5), Q(2,2) R(5,-2), and S(6,6)
Adding the radius to the y coordinate gives us 6 so the only point with a y coordinate on the circle is ( 2,6)
( 6,6) is outside the circle
3/4a-1/6=2/3a+1/4? Please i need help!!!!
Answer: a=5
Step-by-step explanation:
1/12a=10/24
24a=120
a= 5
Angles L and M are supplementary. What is the sum of
their measures?
The sum of the measures of angles L and M is
180 degree
Step-by-step explanation:
supplementary means anhke havinv sum of 180 degree
so sum to two supplemrntary angles is 180 drgree
Supplementary angles always add to 180.
One way I think of it is "supplementary angles form a straight angle", and both the words "supplementary" and "straight" start with the letter "S".
In contrast, complementary angles form a corner. Both "complementary" and "corner" start with "co". By "corner", I mean a 90 degree corner.
15. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-9, -4, 1, 6, ...
Answer:
11, 16
Step-by-step explanation:
the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11
then 11 + 5 = 16
Answer:
11,16
Step-by-step explanation:
We are adding 5 each time
-9+5 = -4
-4+5 =1
To find the next two terms
6+5 =11
11+5 = 16
Questions attached below (❁´◡`❁)
Problem 2
Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]
Also, he forgot about the plus/minus.
This is what his steps should look like
[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]
There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation
Let's try out x = 7
x^2 - 6x - 7 = 0
7^2 - 6(7) - 7 = 0
49 - 42 - 7 = 0
0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1
====================================================
Problem 3
We will have
a = 1, b = -4, c = 3
plugged into the quadratic formula below to get...
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]
The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.
PLEASE HELP ME WORTH 20 POINTS It looks like the graph of the parents function f(x)x^2. However:
- It has been reflected (flipped) over the x-axis
-It has been shifted down 4 units.
-It had been shifted left 1 unit
Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis.
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit.
flipped : [tex]-x^2[/tex]
moving down: [tex] -x^2+4[/tex]
shifting left [tex] -(x+1)^2+4[/tex]
expanding it: [tex] -x^2-2x+3[/tex]
Answer:
1. f(x)=x^2
f(x)=-x^2
2. f(x)=-x^2-4
3. f(x)=-(x+1)^2-4
Find the product of 0.3×0.23
Answer:
0.069
Step-by-step explanation:
0.3*0.23=0.069
Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name
Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.
