The most common speed of a car driving through the intersection is 30.0 mph which is indicated by the Mode.
What is the mode of data?A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.
In the case of ungrouped data, all that is required is to find the observation that happens most frequently.
A traffic radar records the speed of cars driving through an intersection. It records these statistics:
Mean = 36.2 mph
Median = 28.5 mph
Mode = 30.0 mph
As per the question, a car driving through the intersection at 30.0 mph is the most common speed.
This is indicated by the Mode which is the value that appears most frequently in a data set.
Hence, the correct answer would be an option (C).
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Help pls due right now
Will give brainlist
Answer:
D. 1.89 sq. m
Step-by-step explanation:
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Katherine has at least 2 hours of homework every night. If "h" is the number
of hours of homework, write an inequality that represents the sentence
above.
Answer:
[tex]h \geq 2[/tex]
Step-by-step explanation:
h has to be 2 or more since there is at least 2 hours.
Marcus makes the statement "15 more than twice a number is equal to 5” What number makes Marcus's statement true?
O-5
O 7.5
O -2.5
O 10
So we know that we need to add 15 to the double of this number. We know we need to add 15 since it says "15 more than" and we know we need to double/multiply the number by two since it says "twice a number"! We also know that this mystery number equals 5.
Therefore, we can set up our equation and solve! The variable x is used to represent the number we're looking for!
2x + 15 = 5
2x = -10
x = -5
So, your answer should be -5!
help me with this please
What are the two roots of the quadratic equation? y=x squared-3x-4
Answer:
{x | x ∈ R, 4,-1}
Step-by-step explanation:
[tex]y=x^2-3x-4[/tex]
[tex]y=x^2+x-4x-4[/tex]
[tex]y=(x^2+x)+(-4x-4)[/tex]
[tex]y=x(x+1)+(-4)(x+1)[/tex] Distributive property
[tex]y=(x+(-4))(x+1)[/tex] Distributive Property
[tex]y=(x-4)(x+1)[/tex]
set y to 0
[tex]0=(x-4)(x+1)[/tex]
set the factors to 0
[tex]0=x-4; 0=x+1[/tex]
[tex]4=x; -1=x[/tex]
49
58
57
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted
A weight of a bear with a chest size of 48 inches. Is the result close to the actual weight of 298 pounds? Use a significance level of 0.05.
Chest size (inches) 58
43 46
Weight (pounds) 355 266 332 177 246 348
What is the regression equation?
G
ĝ=0.x (Round to one decimal place as needed.)
C
pls help due tomorrow
On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
-12 +18 = p + 7
6 = p + 7
p = -1
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find the measure of each side of an equilateral triangle whose area is √3 cm
STEP BY STEP
Answer:
s = 2 cm
Step-by-step explanation:
Given the following data;
Area of equilateral triangle = √3 cm
Mathematically, the area of an equilateral triangle is given by the formula;
A = √3 * s²/4
Where, s represents the sides of length.
Substituting into the formula, we have;
√3 = √3 * s²/4
Dividing both sides by √3, we have;
1 = s²/4
Cross-multiplying, we have;
4 = s²
Taking the square root of both sides, we have;
s = √4
s = 2 cm
I need help, I know it gave me the answer but I don’t understand how it got (-3) someone explain please
Answer: h=14
Step-by-step explanation:
If x=-18, then
h=17+(-18)/6
h=17+(-3)
h=17-3
h=14
Answer:
Step-by-step explanation:
so, the calculation was : h = 17 + [tex]\frac{-18}{6\\}[/tex]
To subtract "[tex]\frac{-18}{6}[/tex] " we need to make it the same denominator as "17"
(it's not written but technically 17 = [tex]\frac{17}{1}[/tex] )
Yet, we see that [tex]\frac{-18}{6} =\frac{-3* 6}{1*6}[/tex]
We just need to remove both the 6 that are not useful here and :
[tex]\frac{-3*6}{1*6} =\frac{-3}{1}= -3[/tex]
We obtain h = 17 - 3 = 14
hope it helped :)
Estimate 16.76 -9.611 by first rounding each number to the nearest tenth.
Answer:
7.2
Step-by-step explanation:
16.76 = 16.8
9.611 = 9.6
16.8 - 9.6 = 7.2
Evaluate the expression when c=4 and d=40
D-5c
40= x²-y²
21= xy
find x and y
On solving the provided question, we can say that - the equation, 21 = xy; 40 = [tex]x^2-y^2[/tex] x= 2 and y = 2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
21 = xy;
40 = [tex]x^2-y^2[/tex]
x= 2
and
y = 2
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HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!
Answer:
1: 1 1/5!
2: 1 4/7!
3: 5 1/4!
4: 4 4/7!
5: 2 6/9!
6: 4 1/6!
ill give brainlest:)
Answer:
Triangle, rectangle
Step-by-step explanation:
I solved it visually
Answer:
Triangle and rectangle
Write an equation
Y=|x| 10 units down
To translate the point P(x,y) , a units left and b units down, use P'(x−a,y−b) .
Write an equation Y=|x| 10 units down?y=|x-10|-3
Inside, is opposite. So therefore, to move it right 10 units, you subtract ten. However, outside of the absolute value, it is normal, so to move it down 3 units, you subtract 3.The number –45.3 is 45.3 units away from zero and the number 10 is 10 units away from zero. Therefore, the absolute value of any number is really a positive number (or zero).As we know that absolute value means remove the negative sign from the number and make it positive. So we get the absolute value of -10 as 10. So we get the absolute value of 10 as 10. Hence absolute value of -10 and 10 is 10 and 10 respectivelyTo know more about units visit:
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what is the slope of the table below? 3/8 15/12 9/10 0/7
The slope of the table shown in the image attached below is equal to: D. 1/3.
How to calculate the slope of the given table?Mathematically, the slope of the given table can be calculated by using the following mathematical expression;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided in the table, we have the following data points:
Points on x-axis = (-2, 2).
Points on y-axis = (-4, -2).
Substituting the given points into the slope formula, we have;
Slope, m = (12 - 8)/(15 - 3)
Slope, m = 4/12
Slope, m = 1/3
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Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="
Answer:
Area is 35
Perimeter is 26
A = hb/2
Step-by-step explanation:
You're given the base (7) and the height (10). The area formula is [tex]\frac{h*b}{2}[/tex].
The area of a triangle is half of the base times the height. 7 * 10 = 70, so 70 is twice the area. Divide it by 2 to get the area (35).
The perimeter is all of the sides added together. 10 + 8 + 7 = 26
Please help me faster if know what the answer please answer???!?!?!
Answer:
17
Step-by-step explanation:
First of all we find the total number of students:
4+6+2+2+3+4+6+3=30
Then we find the amount of seniors:
2+3=5
Now to find the probability we find the percentage of students which are seniors:
[tex]\frac{5}{30}[/tex] Which is also [tex]\frac{1}{6}[/tex] and when you put that into your calculator you get:
0.16666... which is a decimal, we need a percentage, so we multiply by 100 to convert it:
0.16666...×100=16.666...
which is equal to 17 once rounded as the third digit (6) rounds up
if (x+A)^2 -3 = x^2 + 4x + B. Find the value of A and B
The values of A and B are 2 and 4 respectively.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
(x + A)² - 3 = x² + 4x + B
We can write the given equation as -
(x + A)² - 3 = x² + 4x + B
x² + A² + 2Ax = x² + 4x + B
A² + 2Ax = 4x + B
A² + 2Ax = B + 4x
Equating both sides, we get -
A² = B
and
2A = 4
A = 2
Then B will be equivalent to 4.
B = 4
Therefore, the values of A and B are 2 and 4 respectively.
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72 ounces and 6 steaks = what rate and unit rate
what is the volume of a prism if the width is 8 the height is 6 and the length is 4
Answer: 48
Step-by-step explanation:
V = b x h
V = 8 x 6
V = 48
PLEASE HELP!!!Design a chart, flow chart, mind map, or some other visual to help you organize the information that can easily be determined about the graph of a parabola when the function is written in vertex form, standard form, and factored form.
Answer:
Meh sure But I can't post a picture, so I'll just type it out.
Standard form: ax^2+bx+c
Quadratic Formula: -b + or - Square root of b^2-4ac/2a
Vertex form: a(x-h)+k
Mrs. Bike was looking for books at the library. She decided to check
out 2 books from each shelf in the children's section. Which expression
below can represent the total number of books Mrs. Bike checked out if
there are v number of shelves in the children's section?
1) x + 2
2) 2 - v
3) v x 2
4) 2 divided by v
Answer:
2 x v
Step-by-step explanation:
Two books per shelf would mean 2+ per shelf.
So if she took out 5 shelves it would be 2+2+2+2+2 in other words. 5*2.
So the equation would be 2 x v
Is f(x)= 7e^-21 an example of exponential growth or decay?
Answer:
[tex]\small\mathfrak\green{here \: is \: your \: answer...} \\ \\ \small\mathfrak\pink{exponential \: decay...} \\ \\ \small\mathfrak\green{hope \: it \: helps...}[/tex]
Which of the following lines is perpendicular to the line passing through the points (-3, 4) and (-5, 6)?
The equation of the perpendicular line will be x + y - 5 = 0. Then the correct option is B.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line passing through (-5, 6) and (-6, 5) will be given as,
(y - 6) = [(5 - 6) / (- 6 + 5)](x + 5)
y - 6 = (x + 5)
y = x + 1
The equation of the line that is perpendicular to the above line is given as,
y = - x + c
The equation of the line is passing through (3, 2)
3 = - 2 + c
c = 5
Then the equation of the perpendicular line will be given as,
y = -x + 5
x + y - 5 = 0
The equation of the perpendicular line will be x + y - 5 = 0. Then the correct option is B.
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The complete question is given below.
what is 24.40% 37.60% 7/25 and 3/10 ordered from least to greatest
Answer:
7/25,3/10, 24.40%,37.60%
The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a GPS navigation system if it had been available for an additional cost of $300. The manager believes from previous information that the proportion is 0.30. Suppose that a survey of 200 new compact-car owners is selected and 79 indicate that they would have purchased the GPS navigation system. If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use
Answer:
Two-tailed test.
Step-by-step explanation:
There are two types of tests:
One-tailed tests and two-tailed tests.
When we only test if the mean is less or more than a value, we have a one-tailed test.
When we test if the mean is different from a value, we have a two-tailed test.
If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?
Test if it is different, so a two-tailed test.
Decompose the fraction 1 3/4
Decomposition of the fraction [tex]1\frac{3}{4}[/tex] =7/4 = 17/4 - 10/4
Here, the numerator, or top number, 7, indicates how many pieces we will examine.
Please look at figure a and pay attention to the three coloured components. The bottom number, our denominator, provides the total number of components. As a result, pay close attention to figure a. There are a total of four parts, numbered 1, 2, 3, and 4. However, since we are working with 7/4, we will just examine the three shaded parts.
7/4 = 17/4 - 10/4
7/4 = 11/4 - 4/4
Unit fraction decomposition will be used. Unit fraction - what is it? What would we focus on if we just looked at one element? It is one in four, or 1/4. Because this is the first of a series that includes 1, 2, 3, and 4. The third component would also be 1/4, and the second piece would be 1/4.
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a rectangular garden has length twice as great as it’s width. a second rectangular garden has the same width as the first garden and length that is 4 meters greater than the length of the first garden. the secon garden has area of 70 square meters. what is the width of the two gardens?
The width of the two gardens will be equal to 5 feet.
What is the area of the rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular garden has a length twice as great as it’s width. a second rectangular garden has the same width as the first garden and a length that is 4 meters greater than the length of the first garden. the second garden has an area of 70 square meters.
For the first rectangle, the dimensions will be,
L = 2w
For second rectangle width is same then the area is,
L x w = 70
( 2w +4 ) x w = 70
2w² + 4w - 70 = 0
w² + 2w -35 = 0
w² + 7w - 5w -35 = 0
w(w + 7 ) -5(w+7) = 0
w =-7 and w = 5
Hence, the width is w = 5 ft.
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Graph the parabola.
y=x²+2x+2
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Answer:
Step-by-step explanation: