Step-by-step explanation:
A matrix of order 3×1 means it has 3 rows and one column.
[tex] \huge \red{ \begin{pmatrix} a \\\\b \\\\c \end{pmatrix} }[/tex]
A 2021 Toyota Rav4 Hybrid leases for $322/month for 3 years with a $2,101 down payment. What's the total that you will pay to lease this car? Round to the nearest cent
Answer:
13,693
Step-by-step explanation:
3 years x 12 months a year = 36 months.
322 per month x 36 months = 11,592
+
the 2,101 down payment
=
13,693
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:
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Answer:
Only 20 is an outlier.
Step-by-step explanation:
Took the test.
Can anyone help me find this answer
Answer:
23.4units
Step-by-step explanation:
√(22)²+(8)²
√484+64
√548
23.4
Solve for t.
16 - 2t =+9+4t
Please solve it out
can someone help me please?
Option D is the correct answer
Five swimmers are entered into competition. Four of the swimmers have had their turns. Their scores are 9.8s, 9.75s 9.79s and 9.81. What the score
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]
A manager drew this box-and-whisker plot to represent the ages of her 23 employees. Every employee is a different age.
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.
How many employees are older than 54?
Enter your answer in the box.
employees
About 5 employees have ages that are older than 54 years.
What is a box plot?A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.
From the diagram, the third quartile is 54 years. Hence 75% of the employees are between 35 to 57 years.
25% are older than 54 years, hence:
Employers older than 54 years = 25% of 23 employees = 5.75
About 5 employees have ages that are older than 54 years.
Find out more on box plot at: https://brainly.com/question/14277132
Answer:
5 is the answer
Step-by-step explanation:
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
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
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
what type of number is -4/2
Answer:
-4 integral and 2 prime number
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
SOMEONE HELP ME PLS PLS PLS, I AM BEGGGGINGGGGGGG
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!
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.
which of the following it true about √3x2
pls i need help its due tonight and i cant turn it in late bc my nine weeks will be over help pls
Answer:
B)
Step-by-step explanation:
Rational number: can be expressed as a ratio of two integersIrrational number: cannot be expressed as a ratio of two integers[tex]\textsf{2 is a rational number as }2=\dfrac21[/tex]
[tex]\sqrt{3} \textsf{ is an irrational number}[/tex]
[tex]2\sqrt{3} \textsf{ is an irrational number}[/tex]
Find the area of the regular figure below:
Answer:
82.82in^2
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.
2. how long does this lease last?
a. month-to-month agreement
b. 12 months
c. 18 months
d. 2 years
$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:
20. Olivia translated triangle DEF 4 units vertically to form triangle GHJ.
If Olivia performed the translation correctly, what is the measure of angle H?
O 17.5°
O 43.0°
O 32.5°
O 28.0°
Answer:
Step-by-step explanation:
m∠E = m∠H
( 3x - 20 )° = ( x + 15 )°
3x - 20 = x + 15
3x - x = 15 + 20
2x = 35
x = 17.5
m∠H = 3(17.5) - 20 = 32.5 °
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.
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
Three side lenghts of 5.2,6.3, and 10.5 units will form exactly one unique triangle
True, the three sides will form exactly one unique triangle.
What is a triangle?A triangle is three dimensional shape, whose third length is less than the sum of the first and second length.
let the first length = alet the second length = blet the third length = k(b - a) < k < (b + a)
(6.3 - 5.2 ) < k (6.3 + 5.2 )
1.1 units < k < 11.5 units
The third length = 10.5 units which is greater than 1.1 units and less than 11.5 units.
Thus, the three sides will form exactly one unique triangle.
Learn more about conditions of a triangle here: https://brainly.com/question/22674890
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.
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
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
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 : )
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.