Answer:
b = -2.7
Step-by-step explanation:
Isolate the variable, b
-5 = b - 2.3
add 2.3 to both sides (to isolate variable b)
-5 + 2.3 = b - 2.3 + 2.3
-2.7 = b + 0
-2.7 = b
Check work:
-5 = -2.7 - 2.3
-5 = -5
Correct
Which values in this data set are outliers? 48, 52, 56, 64, 61, 20, 48, 51, 58, 48, 78 Select Outlier or Not Outlier for each value. Value Outlier Not Outlier 20 Outlier – 20 Not Outlier – 20 48 Outlier – 48 Not Outlier – 48 64 Outlier – 64 Not Outlier – 64 78 Outlier – 78 Not Outlier – 78.
Outlier is a data point that is different from the rest of the data. The outliers in the dataset will be 20 and 78.
What is a Scatter plot?A scatter plot is also known as a scatter chart, a scatter graph that uses dots to represent values for two different numeric variables. Each dot on the graph represents particular data on both axes.
What is an Outlier?An outlier is a data point that is different from the rest of the data.
If we keenly observe the data set that is given to us, 48, 52, 56, 64, 61, 20, 48, 51, 58, 48, 78; the range of the data set that is given to us lies mostly between the 48 to 68, therefore, the data point that is the outlier for this data set are 20 and 78.
Hence, the outliers in the dataset will be 20 and 78.
Learn more about Outlier:
https://brainly.com/question/9933184
Answer:
Only 20 is an outlier.
Step-by-step explanation:
Took the test.
Wendy asked 40 students on the school football team if they ever injured themselves while playing sports. Fifteen football team members responded “Yes.” Wendy concluded that 375 of the 1,000 students in her school have injured themselves playing sports. Select whether Wendy's conclusion is valid or invalid.
Answer:
Yes, Wendy's conclusion is valid.
Step-by-step explanation:
40 divided by 15= 2.666666666666667
Therefore, 1000 divided by 2.666666666666667= 374.999999999999953 which can be rounded to 375
7
Write the equation of a line that is perpendicular to y = -3 + 6 and that passes through the point
(2,-6).
Answer:
Perpendicular lines are lines that are at right angles to each other.
For perpendicular lines, the product of their slopes is -1.
[tex]\implies m_2=\dfrac{-1}{m_1}[/tex]
(where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of perpendicular lines)
The slope of the given equation is -3. Therefore, to find the slope of the line that is perpendicular:
[tex]m_2=\dfrac{-1}{-3}=\dfrac13[/tex]
Now we have the slope, we can use the point-slope form of a linear equation with [tex]m=\dfrac13[/tex] and [tex](x_1,y_1)=(2,-6)[/tex] to find the equation of the perpendicular line:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-6)=\dfrac13(x-2)[/tex]
[tex]\implies y+6=\dfrac13x-\dfrac23[/tex]
[tex]\implies y=\dfrac13x-\dfrac{20}3[/tex]
PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 1
Options: 100
90
10
60
Answer:
angle of 1 will be 60°Step-by-step explanation:
we know vertical opposite angle are equall so angle 1 = 60°Find the area of the regular figure below:
Answer:
82.82in^2
Step-by-step explanation:
SOMEONE HELP ME PLS PLS PLS, I AM BEGGGGINGGGGGGG
what type of number is -4/2
Answer:
-4 integral and 2 prime number
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
(0, -3)
explanation:
original coordinates of C: (0, -7)If reflected over y axis, there will be additive inverse in x unit
use the formula: (x,y) → (−x, y)
new coordinates: (0, -7)Then if translated vertically, there will be change in y axis:
(0, -7+4) → (0, -3)
what is the value of x
Answer:
x = 20
Step-by-step explanation:
given a line parallel to a side of a triangle and intersecting the other two sides, then it divides those sides proportionally , that is
[tex]\frac{10}{5x+10}[/tex] = [tex]\frac{11}{121}[/tex] = [tex]\frac{1}{11}[/tex] ( cross- multiply )
5x + 10 = 110 ( subtract 10 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Can anyone help me find this answer
Answer:
23.4units
Step-by-step explanation:
√(22)²+(8)²
√484+64
√548
23.4
PLEASE HELP :)
----How many more miles would you have to travel if you drove down Polk and Fernwood?---- *I found the hypotenuse, 16, I just can't figure out how many more miles it is!*
Answer:
8 miles.
Step-by-step explanation:
Travelling down Alley street is 20 miles
Travelling along Polk and Fernwood = 12 + 16 = 28 miles.
The sum of the squares of two consecutive integers is 145. Find the two integers.
Please help asap .
Answer: The two integers are 8 and 9.
Step-by-step explanation: Let n represent the number.
n^2 + (n + 1)^2 = 145
By foiling, this can be rearranged to:
n^2 + n^2 + 2n + 1 = 145
Subtract 145 from both sides:
2n^2 + 2n - 144 = 0
Divide both sides by 2:
n^2 + n - 72 = 0
Factor the polynomial:
(n + 9)(n - 8) = 0
Solve for n:
n = -9, n = 8
Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.
Now, n = 9 and n = 8.
These are your two integers. Hope this helps!
$34.97 is what percent of $86.08?
Round your answer to the nearest whole number and include a percent sign (%).
Answer:
41%
Step-by-step explanation:
Which geometric term is best described as a straight path between two
points?
A. Point
Ο Ο
B. Line segment
O
C. Angle
O.
D. Vertex
Answer:
B. Line segment
Step-by-step explanation:
A line segment starts with a point and ends with a point.
Set A consists of the numbers 12, 15, 37, 10, and 11. Set B consists of the
numbers 3,58, 17, and 7. Which of the following is true?
Answer:
Both A and B are true,
Step-by-step explanation:
The median of set A equals the median of set B.
The mean of set A equals the mean of set B.
pls help!! first correct answer will be awarded brainiest!!!
Answer: See below
Step-by-step explanation:
Sophie's speed is --> s miles/hour
Yesterday, Sophie biked for --> t hours
Distance = speed * time
Distance = (s miles/hour)(t hours)
Distance = (s)(t)
Therefore, Sophie's route was s*t or st miles long
What is the slope of the line through (2, 9) and (5, 3)
Answer:
Slope:-2
Step-by-step explanation:
You have to do y-y divided by x-x so 3-9 which equals -6 and 5-2 which equals 3 and then you have -6/3 and simplifying that you get -2.
Choose the graph of this equation.
Y= -2/3x - 2
Answer:
c
Step-by-step explanation:
c because
if you use a number such as -4 for x, you do
-3/2*-4 is 12/2 which is 6
6-2 is 4
the coordinate would be (-4,4)
it fits graph c
Hello people ~
Find the area of the square of side 13 cm.
Answer:
169 cm or 1.69 m
Step-by-step explanation:
the area of the square=length of any side^2
2. how long does this lease last?
a. month-to-month agreement
b. 12 months
c. 18 months
d. 2 years
Which statement is true about the graph of the equation 2x + y - 5 = 0?
The y-intercept is 5.
O The slope is -1.
The y-intercept is -1.
The slope is 2
Find the minimum value of the parabola y = x2 – 2x – 3.
Answer:
- 4
Step-by-step explanation:
the minimum value of the parabola is the value of the y- coordinate of the vertex.
given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² - 2x - 3 ← is in standard form
with a = 1 and b = - 2 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-2}{2}[/tex] = 1
substitute x = 1 into the equation for corresponding y- coordinate
y = 1² - 2(1) - 3 = 1 - 2 - 3 = - 4
then minimum value is - 4
Explain why 3^-3 = 1/27
Step-by-step explanation:
Because 3^-3=0.037 and 1/27 also equals 0.037 so they are equivalent thats why.
Write an equation standard form for the line that goes through the following points (-3,-2), (5,3)
Answer:
Your answer is: y = 5/8x -1/8
Step-by-step explanation:
Hope this helped : )
Why is 2/1 x 1/2 equivalent to 1?
Answer:
because the when you multiply that the fraction answer is 2/2 or just simply 1
Step-by-step explanation:
2 1 2
— × — = — or 1
1 2 2
Work out the area of the triangle. Give your answer to 1 decimal place. 10cm, 13cm sides. Angle 105
Answer:
62.8
Step-by-step explanation:
So, keep in mind that the area of a triangle is equivalent to: 1/2(b)(h) with b being your base and h being your height.
We have our base: 10, and our angle: 105. Now we need to find our height. You don't just have to look at a triangle the way that it's oriented in the problem. Rotate it so that 10cm is at the bottom, and it will be much easier.
From there, you can create a right triangle and draw a line from the top of the triangle straight to the base. Then, you have a right triangle, where you can solve the height, and then plug your answer into the area formula. Further steps are detailed in the picture.
Find the value of abc if a = 4, b=-2 and c= -1.
Answer:
4+2+1=7 Make me brainlist please
Solve for t.
16 - 2t =+9+4t
Please solve it out
can someone help me please?
Option D is the correct answer
Sabine records the daily heights of a random sample of bamboo stalks, in inches. They are: 20, 19, 17, 16, 18, 15, 20, 21 Consider the formulas: A: s squared = StartFraction (x 1 minus x overbar) squared (x 2 minus x overbar) squared ellipsis (x n minus x overbar) squared Over n minus 1. B: s = StartRoot StartFraction (x 1 minus x overbar) squared (x 2 minus x overbar) squared ellipsis (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot. C: Sigma squared = StartFraction (x 1 minus mu) Squared (x 2 minus mu) squared ellipsis (x N minus mu) squared Over N EndFraction. D: Sigma = StartRoot StartFraction (x 1 minus mu) Squared (x 2 minus mu) squared ellipsis (x N minus mu) squared Over N EndFraction EndRoot Which formula should you use for variance? Which formula should you use for standard deviation?.
The formula Sabine should use for calculating the variance and standard deviation for the random sample of bamboo stalks are,
[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]
[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]
What is variance and standard deviation?The variance of the data is the measure of average level by which every point is differed from the mean.
It can be calculated as,
[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
It can be calculated as,
[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]
Sabine records the daily heights of a random sample of bamboo stalks, in inches.
They are: 20, 19, 17, 16, 18, 15, 20, 21
For this data Sabine wants to calculate the variance and standard deviation, which can be done using the above formula.
Hence, the formula Sabine should use for variance is,
[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]
The formula should Sabine use for standard deviation,
[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]
Learn more about the variance and standard deviation here;
https://brainly.com/question/15858152
Answer:
First Part: A and B
Second Part: 4.5 and 2.12
Step-by-step explanation:
edge 2022