Answer:
The probability that a student earns a grade of A is 1/7.
Let E be an event and S be the sample space. The probability of E, denoted by P(E) could be computed as:
P(E) = n(E) / n(S)
As the total number of students = n(S) = 35
Students getting the grade A = n(E) = 5
So, the probability that a student earns a grade of A:
P(E) = n(E) / n(S)
= 5/35
= 1/7
Hence, the probability that a student earns a grade of A is 1/7.
Keywords: probability, sample space, event
A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
delivery fee of $3 per bushel. Supplier B sells B the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
Which supplier would cost more if the production company bought 500 bushels of grain each week?
O Supplier B would cost $625 more than supplier A.
© Supplier B would cost $600 more than supplier A
O Supplier A would cost $875 more than supplier B.
© Supplier A would cost $800 more than supplier B.
Subtraction is a mathematical operation that reflects the removal of things from a collection. Supplier B would cost $625 more than supplier A. Thus, the correct option is A.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The cost of 500 bushels from supplier A will be,
Cost = ($5.25 × 500) + ($3 × 500)
= $4,125
The cost 500 bushes from supplier B will be,
Cost = $1,500 + ($6.250×500)
= $4,750
Now, the difference between the two suppliers' costs for 500 bushels will be,
Difference = $4,625 - $4,125 = $500
Hence, Supplier B would cost $625 more than supplier A. Thus, the correct option is A.
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The quotient of a number p and 38
Answer:
[tex] \frac{p}{38} [/tex]
The required quotient of a number p and 38 is 38/p, as of the given condition
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
In the quesiton, we have to determine the quotient of a number p and 38.
So, divide 38 by p to determine the quotient.
= 38/p
Thus, the required quotient of a number p and 38 is 38/p.
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brainlist kopo yung nag answer ng tama
I. Answer each question. Write the letter of the correct answer in your paper.
Read and analyze the following problems carefully. Then, write your answer on a separate sheet of paper.
_____1. In a given circle, the radius is 9 cm. What is its diameter?
A. 18 m
B.18 cm
C. 4.5 m
D. 4.5 cm
_____2. Which of the following is the formula in solving for the area of a circle?
A. A= 2πr
B. A= πr2
C. A= πd
D. A=2 πr2
_____3. The diameter of a circle is8 cm, what is its area?
A.50.24 cm2
B.200.96 cm2
C.25.12 cm2
D.100.48 cm2
_____4. What is the radius of a circle if the area is 36m2?
A. 0.339 m
B. 3.39 m
C. 33.9 m
D. 339m
_____5. What is the area of a circle if the radius is 5m?
A. 15. 7 m2
B. 31.4 m2
C. 78.5 m2
D. 157 m2
HELP ME!!! FIND X AND Y. PLEASE GIVE ME AN EXPLANATION TO YOUR ANSWER AS WELL.
The linear equation will be 6x + y = 180 and 3x = y. Then the value of the variable x and y will be 20° and 60°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
3x° + 3x° + y° = 180° (Supplementary angle)
6x° + y° = 180° .....1
3x° = y° .....2 (Vertically opposite angle)
By solving equations 1 and 2, we have
x° = 20° and y° = 60°
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Given the equation y = x – 2, you substitute 5 for x. Check all true statements below.
The correct value of the given function at x = 5 is y =3.
What is Equation?An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.
Here, the given equation :
y = x - 2
put x = 5 in the given equation, we get
y = 5 - 2
y = 3
Thus, the correct value of the given function at x = 5 is y =3.
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Which of the following have exactly 1 solution?
Choose all answers that apply.
A. -5x + 12 = -12x - 12
B.-5x+12=-5x-12
C. −5x+12=5x+12
D. −5x+12=5x−5
The equations;
-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5 all have exactly 1 solution.What is a linear solution?A linear equation is one in which there is only one solution. In a linear solution, the highest power of x is 1.
If we look at the equations listed, we will discover that they are all linear equations, as such;
-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5Will all have exactly 1 solution.
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A running relay team ran a 400 meter race in a record-setting time of 36 seconds. What was their average speed to the nearest tenth of a meter per second?
Which quadratic inequality does the graph below represent?
The quadratic inequality represented by the graph is:
y ≤ 2x² - 8x + 3
Which quadratic inequality does the graph below represent?
First, we can see that the shaded region is below the parabola, and the line of the parabola is solid, which means that the points on the parabola are solutions, then the inequality is:
y ≤ quadratic equation.
Now we need to get the quadratic equation.
Now, if you look at the y-intercept, you can see that it happens at y = 3. Then the constant term of the quadratic equation is 3.
The only one that has that (and the ≤ symbol) y-intercept is the first option:
y ≤ 2x² - 8x + 3
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Which best describes the orthocenter of a triangle?
O A The point where the three altitudes of the triangle intersect
O B. The point where the three angle bisectors of the triangle intersect
• C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D The point where the three medians of the triangle intersect
Answer:
its A
Step-by-step explanation:
Its a because its A =)
Find the x-intercept(s) and the coordinates of the vertex for the parabola y= x^2 -8x + 12. if there is more than one x-intercept, separate them with commas.
Answer:
(i) x-intercepts: (2, 0), (6, 0)
(ii) vertex : (4, -4)
Explanation:
y = x² - 8x + 12
To find x intercepts, [set y = 0]
x² - 8x + 12 = 0x² - 2x - 6x + 12 = 0x(x - 2) - 6(x - 2) = 0(x - 6)(x - 2) = 0x = 6, x = 2x-intercepts: (2, 0), (6, 0)
To find vertex:
x = -b/2a
= -(-8)/2(1)
= 4
y = x² - 8x + 12
= 4² - 8(4) + 12
= -4
Vertex : (4, -4)
Solve the equation for y=0
x²-8x+12=0x²-6x-2x+12=0x(x-6)-2(x-6)=0(x-2)(x-6)=0x=2,6X inetercepts (2,0) and (6,0)
Vertex :-
x coordinate
-b/2a8/24Y coordinate
4²-8(4)+12-4Verted at (4,-4)
What is the probability of
spinning an A?
B
B
A
B
C
A
[?]%
C
Answer:
25%
Step-by-step explanation:
when we count, we know that there are 8 possible outcomes as to where the spinner will land.
{the following will be assuming each section has an equal chance of being landed on; that the spinner is not weighted}
We know that two of these 8 possibilities are "A"
This means that A has a 2/8 chance of being landed on
we can simplify 2/8 to 1/4; because they are equivalent ratios/fractions
to calculate percentage, we can follow through with our equation of 1/4
[divide 1 by 4]
1 / 4 = 0.25
We multiply this number by 100 to find percentage,
0.25 × 100 = 25
meaning that A has a 25% chance of being spun
hope this helps!! have a lovely day :)
Answer:
25%
Step-by-step explanation:
2 / 8 = 0.25
0.25 = 25%
if pound of cheese costs $3.43, what is the cost per pound?
PLS HELP
Answer:
can you rephrase it? how many pounds are there?
Step-by-step explanation:
Kate used 555 grams of wool to knit a sweater, hat, and scarf. She used 5 times less grams for the hat than for the sweater. She used 5 more grams for the hat than for the scarf. How many grams of wool did she use to knit for each?
(Give explanation)
Answer:
Sweater: 392 [tex]\frac{6}{7}[/tex]
Hat: 78[tex]\frac{4}{7}[/tex]
Scarf: 83[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Set the sweater = x
The hat = [tex]\frac{1}{5}[/tex] x
The scarf = [tex]\frac{1}{5}[/tex] x + 5
x + [tex]\frac{1}{5}[/tex] x + [tex]\frac{1}{5}[/tex] x + 5 = 555
Combine like terms
1[tex]\frac{2}{5}[/tex] x + 5 = 555
Subtract 5 from both sides
1[tex]\frac{2}{5}[/tex] x = 550
Divide by 1[tex]\frac{2}{5}[/tex]
x = 392 [tex]\frac{6}{7}[/tex] This is how much wool was used for the sweater.
Divide by 5 to get the hat = 78 [tex]\frac{4}{7}[/tex]
Add 5 to that to get the scarf: 83[tex]\frac{4}{7}[/tex]
What is the quotient of the synthetic division problem below, written in
polynomial form?
3 -2 15
-22
-16
A.2xd 121xr 41
B=
2,219x15
C. 2y 1 9g
40
D
2y7 - 21x 40
The quotient of the synthetic division problem is "f(x) = -2x² + 9x + 5" (Option C).
What is Synthetic Division?
When a polynomial division is executed using the shorthand method, using a linear factor, one is said to have executed a Synthetic Division.
The synthetic division translates to
- 2 15 -22 -15
3 | -6 27 15
-2 9 5 0
Citing the coefficient of the quotient of the first three numbers:
- 2, 9, 5. The last number is given as the remainder.
Hence the remainder is zero.
Given that the coefficient of the quotient are three, the interpretation is that the polynomial greatest degree is 2.
Thus,
f(x) = -2x² + 9x + 5
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Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find the value a.
The value of a is 72.74.
What is Probability ?Probability is the study of likeliness of an event to happen.
It is given that
The mean [tex]\rm \mu[/tex] of the distribution is 70
Standard deviation [tex]\rm \sigma[/tex] is 2
p( x<a) = 0.9147
a = ?
From Z table
For p ( p < 0.9147) , z = 1.37
[tex]\rm Z = \dfrac { X - \mu}{ \sigma}[/tex]
[tex]\rm \rm 1.37 = \dfrac { a - 70}{ 2}[/tex]
a = 70+ 2*1.37
a = 72.74
Therefore the value of a is 72.74.
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Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Answer:
The ordered pair which makes both the inequalities true is = (–2, 2)
Step-by-step explanation:
inequalities are the relationships between two expressions which are not equal to one another.
Inequalities are represented by the following relations:
≤: "less than or equal to"<: "less than"≠: "not equal to">: "greater than"≥: "greater than or equal to"an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
so, the option B(-2,2) satisfies the inequalities expressions given in the question
therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.
so the correct answer is (-2,2)
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Find the sum of the largest and the smallest of the following four numbers:
3.09 3.9 0.39 0.399
PLEASE HELP
Answer:
Using the concepts of Number System, we find that the sum of the largest and the smallest of the given four numbers is 4.29.
Step-by-step explanation:
The given set of numbers is 3.09, 3.9, 0.39 and 0.399.
The given numbers are related to each other as:
3.9 > 3.09 > 0.399 > 0.39
3.9 is greater than 3.09 as
3.9 > 3.09
3 + 0.9 > 3 + 0.09
0.9 > 0.09
90 > 9
0.399 is greater than 0.39 as
0.399 > 0.39
399 > 390
Now, the smallest number in the series is 0.39 and the largest number in the series is 3.9.
The sum of the largest and the smallest of the given four numbers is:
3.9 + 0.39
4.29
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Find the value of x
Find the value of y
Answer:
x = 9
y = 61
Step-by-step explanation:
let me know if you want an explanation!
What is the simple interest that is missing from the table? Use the formula mc012-1.jp
$375
r
2.2%
t
3 years
$25.00
$24.75
$2,475.75
$2,500.00
The simple interest is $24.75.
What is the simple interest?The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.
Simple interest = amount deposited x time x interest rate
$375 x 0.022 x 3 = $24.75
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please help in this as well thank !!
Step-by-step explanation:
4a.
the circumference of a circle is
2×pi×r
we know, r = 6 cm.
so the whole circumference is
2×pi×6 = 12×pi = 37.69911184... cm
4b.
the arc BC is the part of the full circumference that corresponds to 120° out of the 360° of a full circle.
the arc BC is then
12×pi × 120/360 = 12×p × 1/3 = 4×pi = 12.56637061... cm
the perimeter of the shaded area (pie slice) is the arc BC plus 2 radius lengths (from the arc points to the center of the circle)
12.56637061... + 2×6 = 12.56637061... + 12 =
= 24.56637061... cm
4c.
the area of a circle is
pi×r²
in our case
pi×6² = 36pi = 113.0973355... cm²
the area of the shaded area (pie slice) is the 120° part of the full 360° circle area :
36pi × 120/360 = 36pi × 1/3 = 12pi = 37.69911184... cm²
Use the point-slope equation to identify the slope and the coordinates of a point on the line y - 4 = 7 (x-1). The slope of the line is A point on the line is
Answer:
slope is 7 and point on line is (1, 4 )
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
given line A has equation in point- slope form of
y - 4 = 7(x - 1) , then
slope of line is 7 and a point on the line is (1, 4 )
Which of the binomials below is a factor of this trinomial? x2+12x+31
A. x+4 B.x-2 C. x+2 D. x-4
(x+4) is a factor of this trinomial given , Option A is the right answer.
What is a Factor ?A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.
The given trinomial is
x² +12x+32
x² + 8x +4x +32
x(x+8)+4 (x+8)
(x+8)(x+4)
From the given option Option A (x+4) is the right answer.
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what is the solution to this equation? 8(e)^2x+1=4
Answer:
Exact Form:
x=3/8e^2
Decimal Form:
x=0.05075073…
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
given triangle PQR with QR = 8, PQ = 6, and m p = 90 degrees, which of the following choices is used to determine m r
The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8
The situation forms a right angle triangle.
How to find an angle in a right triangle?The angle R can be found as follows:
using trigonometric ratios,
sin R = opposite / hypotenuse
Therefore,
opposite sides = 6
hypotenuse = 8
sin R = 6 / 8
R = sin⁻¹ 6 / 8
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Kelly bought a pair of sneakers for $35.00. She also bought a pile of different laces. Each set of laces, l, costs $3.00. Write a variable expression to show how Kelly could calculate her total cost.
Answer:
35 + 3x
Step-by-step explanation:
we mark the number of sets of laces as x, each pf those costs 3$, so in total - 3x$
we add that to the 35$ of the shoes and get:
35+3x
f(z)=(1/3)
h(z) = z+4/z-2
evaluate (h•f)(0)
The value of the composite function (h•f)(0) is -2/3
How to solve the composite function?The functions are given as:
f(z)=(1/3)
h(z) = z+4/z-2
Start by calculating f(0) and h(0)
f(0) = 1/3
h(0) = (0+4)/(0-2)
h(0) = -2
The composite function is then calculated as:
(h•f)(0) = h(0) * f(0)
This gives
(h•f)(0) = -2 * 1/3
Evaluate
(h•f)(0) = -2/3
Hence, the value of the composite function (h•f)(0) is -2/3
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heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
The answer is option 3 and option 4
Step-by-step explanation:
Complete the hypothesis about the product of two rational numbers. Select the correct answer from each drop-down menu. The product of two rational numbers is number because multiplying equivalent to the ratio of which is number.
Answer: I hope this helps you in what you're doing.
Step-by-step explanation: Because multiplying two rational numbers results in the ratio of two integers, which is also a rational number, the product of two rational numbers is also a rational number.
One number is 6 more than twice the other number. If the sum of the two numbers is 21, find the two numbers
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
y=5
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
x=16
Now to check if our answers are correct, we plug in both values into any equation and see if they equate.
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
m∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
Answer:
Option C:
m∠a = 38°m∠b = 52°m∠c = 90°Step-by-step explanation:
Hello!
The sum of all angles in a triangle is 180°.
Add up all the angles and solve for x by setting the equation to 180°.
Solve for x∠a + ∠b + ∠c = 180°(48 - x)° + (9x - 38)° + 90° = 180°10° + 8x + 90° = 180°8x = 180° - 90° - 10°8x = 80°x = 10°Now that we solved for x, we can plug it back into each equation to solve for each angle.
Angle A48° - x48° - 10°38°Angle B9x - 38°9(10°) - 38°90° - 38°52°Angle C90°The answer is Option C:
m∠a = 38°m∠b = 52°m∠c = 90°