The probability of a head and an even number is 1/4.
What is probability?Probability is the occurrence of a certain event out of the total events than can occur in a given context.
Given event is a coin is tossed and then a die is rolled.
∴ The sample space (S) is = (H,1), (T,1), (H,2), (T,2), (H,3),(T,3), (H,4), (T,4), (H,5), (T,5), (H,6), (T,6).
So, the number of sample spaces N(S) = 12.
The number of heads and an even number N(H,E) = 3.
∴ The probability of a head and an even number is = N(H,E)/N(S).
= 3/12.
= 1/4.
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What percentage of this shape is shaded?
What is the weight of 6yards of fabric
Answer:6.1 ounces
Step-by-step explanation:
PLEASSEEEEEEEEE Solve for x ax^2-2ax+(a+1)=0
i hope that this helps :)
4. Find the perimeter and the area of the
trapezoid.
18 cm
33.3 cm
31.5 cm
32.4 cm
8.7 cm
The perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².
What is a trapezoid?An open, flat shape with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.So, the area and perimeter of the trapezoid:
The perimeter of the trapezoid formula: P = a + b + c + d
P = a + b + c + dP = 8.7+18+33.3+32.4P = 92.4 cmThe area of the trapezoid formula: a+b/2 × h
A = a+b/2 × hA = 8.7 + 18/2 × 31.5A = 420.525 cm²Therefore, the perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².
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Given the function f(x) = 8x + 4, find each of the following. f(5), f(-8), f(0)
Answer:
44, -60, 4
Step-by-step explanation:
8(5) + 4 ---- 40 + 4 ---- 44
8(-8) + 4 ---- -64 + 4 ---- -60
8(0) + 4 ---- 0 + 4 ---- 4
A segment that is both an altitude and a median of a triangle is a?
A segment that is both an altitude and a median of a triangle is a perpendicular bisector.
A median is a segment from a vertex to the midpoint of the opposite side. There are of course three medians of a triangle; they’re concurrent, meeting at a point called the centroid.
An altitude is a segment through a vertex that’s perpendicular to the opposite side; the foot of the altitude (at the point of perpendicularity) either on the side or on the line resulting from extending the side. The three altitudes of a triangle are also concurrent, meeting at a point called the orthocenter.
And when both the altitude and a median of a triangle are the same, then it is called a perpendicular bisector.
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The cross country team ran 1.772 hours yesterday and 1.49 hours today. Each member of the team ran 3.5 miles every hour. How many miles did each member run yesterday?
The distance that member of the cross country team ran is 6.2 miles yesterday.
How to calculate the amount each team member will pay?Distance is a numerical or qualitative measurement of the distance between two objects or points. Distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage.
The cross-country team ran 1.772 hours yesterday, today they ran 1.49 hours Each member of the team ran 3.5 miles every hour.
The number of miles attained by each member of the team yesterday can be calculated as follows:
3.5 × 1.772= 6.2
Hence for yesterday each member of the team ran for 6.2 miles.
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PLEASE HELPPP (just need to know whether it’s discrete of continuous)
7. To meet the demands placed on them, the brick layers have started laying 5% more bricks
each day.
b. Linear or exponential, discrete or continuous?
exponential,
If the bricklayers lay 5% more blocks each day. The function is exponential and discrete.
What is a discrete and exponential function?
An exponential function is a function that increases or decreases at an increasing rate. It does not increase by a constant number.
The form of an exponential function: [tex]e^{x}[/tex]
Where:
• x = the variable
• e = constant
For example, the blocks layed on the first day is 100.
The bricks layed on the second day = 100 x (1.05) = 105 Bricks layed on the 10th day = 100 x (1.05)^9 = 55.13A discrete variable is a variable that assumes only a finite number of values. A discrete variable can be counted.
A linear function is a function that increases at a constant rate. For example, if the bricklayers lay 100 bricks every day, it can be modelled as a linear function.
A continous variable does not take on a finite number of values. It cannot be counted and it is instead measured.
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Help me with this please
Answer:
v = -1.5
Step-by-step explanation:
[tex]v = 2 + ( -7 \times .5) = - 1.5[/tex]
An inequality is shown below.
4x + 2<2x +9
Which graph shows the solution to the inequality?
O A
O
O
B. -
C.
OD
01
N
01
w.
0123
56
8 9 10
8 9 10
+
7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
Answer: Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 7/2
Step-by-step explanation: graph included in link
The graph which shows the solution of the inequality 4x + 2 < 2x + 9 is the graph B.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
The given linear in equality is,
4x + 2 < 2x + 9
Find the solution set of the inequality.
Operate the like terms together.
Subtracting both sides by 2x,
2x + 2 < 9
Subtracting both sides by 2,
2x < 7
Dividing both sides by 2,
x < 3.5
Hence the correct graph is B.
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The equation of Line 1 is y=-2x + 7. Line 2 passesthrough the points (2, 3) and (4, 4). Which statementis true about Line 1 and Line 2?Line 1 and Line 2 are perpendicularO Line 1 is longer than Line 2Line 1 has the same y-intercept as Line 2Line 1 and Line 2 are parallel
SOLUTION
Line 1 is given as
[tex]y=-2x+7[/tex]let's find the equation of line 2, it passes through points (2, 3) and (4, 4)
The slope is
[tex]\begin{gathered} m=\frac{4-3}{4-2} \\ m=\frac{1}{2} \end{gathered}[/tex]The slope of line 2 is 1/2
If the two lines are perpendicular, then the product of their slope will be = -1, that is
[tex]\begin{gathered} m_1m_2=-1 \\ slope\text{ of line 1 m}_1=-2 \\ slope\text{ of line 2, m}_2=\frac{1}{2} \\ -2\times\frac{1}{2}=\frac{-2}{2}=-1 \\ \end{gathered}[/tex]Since the product of their slope = -1
Hence Line 1 and Line 2 are perpendicular
Write the sentence as an equation.
341 is the same as the product of k and 273, minus 79
Given a Figure whose points are A(4, 5), B(2, -1), C(0, 0), D(-4, -1).
What would be the image of that figure if it goes under a reflection across the line y = 1, what is the
coordinate of B'?
A. B'(2, 3)
B. B'(3, 1)
C. B'(-2,3)
D. B'(2, -3)
Answer:
B' (2,3)
Step-by-step explanation:
See the pictures below. B was two units below y = 1 so B' needs to be 2 units above y = 1. That places the point at (2,3)
Create an equation with one solution of x = −7
All help is appreciated :)
The most appropriate choice for linear equation will be given by -
8x - (x - 35) = 2x - (7 + x) is the required equation with x = -7
What is linear equation?
At first it is important to know about algebraic expression
Algebraic expression consist of numbers and variables connected with addition, subtraction, multiplication and division.
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Let y be filled in the gap
8x - (x -35) = 2x - (y + x)
8x - x + 35 = 2x - y - x
7x + 35 = x - y
putting x = -7
7(-7) + 35 = -7 -y
y = -49+35 + 7
y = 7
8x - (x - 35) = 2x - (7 + x) is the required equation with x = -7
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a can of fruit contains 5 ½ cups of fruit.
The suggested serving size is ½ cup.
How many servings are in a can of fruit?
After doing some mathematical operations we can conclude that there are 11 servings in a fruit can.
What are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators.So, servings in a fruit can:
5½ ÷ ½Now, solve the following as follows:
5½ ÷ ½11/2 ÷ 1/25.5 ÷ 0.511Therefore, after doing some mathematical operations we can conclude that there are 11 servings in a fruit can.
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Write in standard form the equation of the line with the given slope through the given point. slope = 6; (1/2,2)
we are given m=6 and a point MEANING WE CAN SUBSTITUTE THE KNOWNS TO GET C IN THE EQUATION Y=MX+C
[tex]2 = 6( \frac{1}{2} ) + c \\ 2 = 3 + c \\ c = 2 - 3 \\ c = - 1[/tex]
THEREFORE
[tex]y = 6x - 1[/tex]
IS THE ANSWER.
HOPE THIS HELPS
PLS HELP I WILL MARK BRAINLEIST
Volume of the sphere = 17157.28 cubic centimeters
How to calculate the volume of a sphere?
Given:
Diameter (d) = 32
r = d/2 = 16
We know that the volume of a sphere is,
[tex]V=\frac{4}{3} \pi r^{3} \\\\ = \frac{4}{3} (3.14) (16)^{3}\\\\=17157.28 cm^{3}[/tex]
What is the volume of a sphere?
A sphere's capacity is measured by its volume. The sphere has a three-dimensional, rounded shape. Its shape is defined by its three axes, which are the x, y, and z axes. Since the cross-section of the sphere is a circle, the volume in this situation is dependent on the radius or diameter.To learn more about volume of a sphere, refer:
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[tex]\huge\boxed{\sf 17157.28} \\\\\\\displaystyle \sf Converting\ d\ to\ r\\\\r=\frac{d}{2} =\frac{32}{2} =16\\\\Calculating\ the\ volume \\\\V=\frac{4}{3} \pi r^{3}=\frac{4}{3} \pi \times 16^{3} \approx 17157.28 \\\\[/tex]
the________ is the side right triangle that is directly across from the right angle
PLEASE HELP! WILL MARK BRAINLIEST!Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.------ + ------ + ------k812k + 10k + 8k + 2k−8k−2
We already know that Jackson biked k kilometers.
Maria biked 8 more kilometers than Jackson, which means that she biked
[tex]k+8[/tex]Peter biked 2 fewer kilometers than Jackson, which means that he biked
[tex]k-2[/tex]To get the total all of them biked, we add those expressions together.
[tex]k+(k+8)+(k-2)[/tex]What is the value of x
3√9+ x = 15
Answer: 6
Step-by-step explanation: .
Answer:
x=12.92
cube root of 9 Is 2.08 so you minus 15-2.08=12.92
PLS answer asap, 100 points see attachment
The measures of the angles are given as follows:
1. p = 67º.
2. q = 27º.
Item 1To solve item 1, first we have to consider that the sum of the internal angles of a triangle is of 180º, hence we find angle x, which is the interval angle of angle p.
Hence:
x + 35 + 32 = 180
x + 67 = 180
x = 113º.
An angle and it's respective external angle are supplementary, meaning that the sum of it's measures are of 180º, hence:
p + x = 180
p + 113 = 180
p = 67º.
Item 2The internal angles are given as follows:
q.128º.180 - 155 = 25º.The sum of their measures is of 180º, hence we can simply solve for q as follows:
q + 128 + 25 = 180
q + 153 = 180
q = 27º.
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Answer:
The measures of the angles are given as follows:
1. p = 67º.
2. q = 27º.
Step-by-step explanation:
But you didn't have to cut me off
Make out like it never happened and that we were nothing (aah-ooh)
And I don't even need your love (ooh)
But you treat me like a stranger, and that feels so rough (aah)
No, you didn't have to stoop so low (ooh)
Have your friends collect your records and then change your number (aah)
I guess that I don't need that, though
Now you're just somebody that I used to know
The distance around Earth's equator is
4.00 x 104 km. The distance around the Moon's
equator is 6.8 x 103 km. What is the difference
between these distances?
The difference between distance around Earth's equator and distance around the Moon's equator is 284.4.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.
Given Data
The distance around Earth's equator is
4.00 x 104 km
= 416 km
The distance around the Moon's equator is
6.8 x 103 km
= 700.4
Difference = Distance around Earth's equator - Distance around the Moon's equator
Difference = 700.4 - 416
Difference = 284.4
The difference between distance around Earth's equator and distance around the Moon's equator is 284.4.
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Write an equation of the line passing through point P(0, 0) that is perpendicular to the line y = -9x-1.
y =
The equation of the line passing through P(0, 0) perpendicular to y = -9x - 1 will be [tex]y = \frac{1}{9}x[/tex]
The given question states that the line passes through the point P(0, 0) perpendicular to the line y = -9x - 1. We have to find out the equation of the line. We have to find the equation in slope-intercept form.
We know the slope intercept is: y = mx + b
Also, given the perpendicular line has slope m₂ = -9 according to slope-intercept form. And we know that perpendicular lines have a slope that is equal to the negative reciprocal.
So, the Slope of the line m₁ = Negative reciprocal of the slope of the perpendicular line.
=> [tex]m_{1} = -\frac{1}{m_{2} }[/tex]
=> [tex]m_{1} = -\frac{1}{(-9)}[/tex]
=> [tex]m_{1} = \frac{1}{9 }[/tex]
We get the slope [tex]m_{1} = \frac{1}{9 }[/tex]. Also, it is given that the line passes through (0, 0) so the y-intercept b = 0. Putting these values in slope-intercept form, we get:
=> y = mx + b
=> [tex]y = \frac{1}{9} x[/tex]
Hence, the equation of the line is [tex]y = \frac{1}{9} x[/tex]
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standard to slope intercept form
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{5} x - 2[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 8x - 20y = 40[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: - 20y = 40 - 8x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 20y = 8x - 40[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{8}{20} x - \frac{40}{20} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{5} x - 2[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
SOLVE pleeeeease essy points
always substitute the function
(for example here we have) h(x) with its value
goodluck :)
Hello!
Since h(x) = -3x + 2 and h(x) = -4
[tex]\hookrightarrow \text{Thus: } -3x + 2 = -4[/tex]
Let's solve:
[tex]-3x + 2 = -4\\-3x = -4-2\\-3x=-6\\x = 2[/tex]
Hope that helps!
There are 25 birds and 12 ducks. Compare the number of birds to the total number of animals. Write you answer three ways. Your answer
Find out the total number of animals
25+12=37 animals
Compare the number of birds to the total number of animals
number of birds=25
so
25/37
or
25:37
or
25 to 37
screenshot of question below
1. The slope is -2.
2. The slope is 1.
3. cost of 1 yards fabric is $6.49.
4. The average speed is 65 miles/ h.
What is slope?
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
1. The co- ordinates of the graph is (0, 0) and (-1, 2)
slope = (2-0) / (-1 - 0) = 2/ (-1) = -2
Thus, the slope is -2.
2. The co-ordinates of the graph is (0, 0) and (4, 4)
slope = (4 - 0) / (4- 0) = 4/4 = 1
Thus, the slope is 1.
3. cost of 7 yards fabric = $45. 43
cost of 1 yards fabric = 45. 43/7
= $6.49
4. Distance = 325 miles
Time = 5 hours
So, average speed = 325 / 5
= 65 miles/ h
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You survey people in a city to determine whether they support the construction of a new baseball stadium. The exact percent of all people in the city who support the construction of the stadium is likely between 24% and 38%. How many people did you survey? Round your answer to the nearest whole number.
The number of the people did we survey = 12/19
What is whole number?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common mathematical symbol for the set of integers.
The set of whole numbers is 0 through 9 (inclusive). Every value in this set is an example of a whole number. Examples are 0, 15, 53, and so forth.
To convey a thorough grasp of more complicated number identifiers like real, rational, and irrational numbers, whole numbers are employed as building blocks. Calculations can be made simpler and issues can be resolved more quickly by rounding decimal numbers to the next whole number.
According to question,
the exact percentage of the people is between 24% and 38%
24%÷ 38%
=0.24/0.38
=12/19
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Juni buys a new car. Her auto loan is $12,000 with an annual interest rate of 3% compounded monthly for 5 years. Her monthly payment is $287. The following table shows the first payment in the amortization schedule.
Explain what the missing values in the table should be, and show your work.
Payment number: 1
Loan Amount: 12,000
Payment: 287
Interest: ???
Principal: ???
Remaining Balance: ???
The missing values in the first month of payment in the amortization schedule are:
Interest is $30The principal is $257The remaining balance is $11,743.What is an amortization schedule?An amortization schedule is a table that shows the loan amount, the periodic payment, the portion of the regular payment that is the interest and the principal repayment, and the remaining balance after each period.
The amortization schedule presents the above information in an easy format for ready evaluation.
How the missing figures are worked out:Auto Loan = $12,000
Annual interest rate = 3% compounded monthly
Loan period = 60 months (5 years x 12)
Monthly Payment = $287
Interest = $30 ($12,000 x 3% x 1/12)
Principal Repayment = $257 ($287 - $30)
Remaining Balance = $11,743 ($12,000 - $257)
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Find the value of x!
××1=× 123 =×/1= the value of x is one