Answers
Step-by-step explanation:
remember (always remember) : a probability is desired cases divided by total possible cases.
what is our total here ?
1388 students at this school
what are our desired cases here ?
every student, who bikes to the school : 207
so, the probability that a randomly picked student is biking to the school is
207/1388 = 0.149135447...
so, b. is the right answer.
please let me know what is not clear to you.
we solved now many probability questions together, but this is very, VERY basic, and you could not do it.
so, what is not "clicking" with you ? what do you need explained ?
Related Questions
If (8^2)p = 8^4, what is the value of p?
2
3
4
6
Answers
Answer:
Step-by-step explanation:
8²p=8^4
64p=4096
p=64
p could also equal 2
8^2x2=8^4
Answer: P = ^2
Step-by-step explanation:
8^4= 4096
8^2= 64
4096/64=64
(8^2)^2= 8^4
4096 = 4096
I'm good how's life!
What did you notice about both of your triangles
Answers
Answer:
they look similar but one of them is upside down.
In triangle abc, measure of angle a = 90 degrees and line an is an altitude. if ab = 20 in. and ac = 15 in., find bc, bn, nc, an
Answers
Answer:
BC = 25 in
AN = 12 in
BN = 16 in
NC = 9 in
Formulas:
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Area of triangle
[tex]A = \frac{1}{2}bh[/tex]
A ... area of triangle
b ... base (one of the sides of the triangle)
h ... height perpendicular to base
Step-by-step explanation:
Given:
A = 90°
AB = 20 in
AC = 15 in
See attached picture.
1) BC
To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.
[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]
2) AN
AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.
Notice how AB is perpendicular to AC. We can use AB as base and AC as height.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]
Now that we have area, we can use BC as base and AN as height and solve for AN.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]
3) BN
Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.
[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]
4) NC
We know the lengths of BC an BN, so we can just subtract.
[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]
General rule nth term)
6;11;16; 21; .....
Answers
Answer:
The rule is increase by 5. That means the next term would be 26.
Tops corporation is organized into two divisions, manufacturing and marketing. both divisions are considered to be profit centers and the two division managers are evaluated in large part on divisional income. the company makes a single product. it is fabricated in manufacturing and then packaged and sold in marketing. there is no intermediate market for the product.
the monthly income statements, in thousands of dollars, for the two divisions follow. production and sales amounted to 10,000 units.
manufacturing marketing
revenues $ 3,000 $ 5,000
variable costs 2,400 3,700
contribution margin $ 600 $ 1,300
fixed costs 500 800
divisional profit $ 100 $ 500
Answers
Top company would accept the order as it increases the total profit of the corporation by $90000
How to illustrate the information?As a company as a whole, Tops corporation will accept orders if the contribution margin increases by accepting orders.
a. The contribution margin will be:
= sales price - variable cost of manufacturing department - variable cost of marketing department
= $400 - [$2400*1000/10000units] - $70
= $400 - $240 - $70
= $90
Therefore, the increase in profit will be:
= $90 × 1000
= $90000
Top company would accept the order.
b. The marketing department will accept the order as it increases its profit by $400000-$370000 = 30000.
c. The manufacturing division manager would accept the order as it increases its profit by $60000. This was gotten as:
= (300 × 1000) - (240 × 1000)
= 300000 - 240000
= 60000
The other parts of the question include:
The company has just received an offer to buy 1,000 units of the product this month at a price of $400 per unit. The Marketing Division manager suggests that for the special order only, the transfer price be set at 50 percent of the sales price, or $200 per unit. Instead, assume the transfer price is unchanged from the current transfer price.
Required:
a. Does Tops Corporation want to accept this order?
b. Will the Marketing Division manager be willing to accept this order?
c. Will the Manufacturing Division manager be willing to accept this order?
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Find the amount of sheet metal needed to form a conical funnel of base radius 30 cm and vertical height 50 cm, allowing for a 0.5 cm overlap at the join
Answers
The amount of sheet metal needed to form the conical funnel is 5525 cm²
How to determine the amount of sheet?The given parameters are:
Radius, r = 30 cmVertical height, h = 50 cmOverlap = 0.5 cmStart by calculating the slant height (l) of the cone using:
l = √(r² + h²)
This gives
l = √(30² + 50²)
Evaluate
l = 58.31
The lateral surface area of the conical funnel including the overlap is then calculated as:
A = πrl + Overlap * l
This gives
A = 3.142 * 30 * 58.31 + 0.5 * 58.31
Evaluate
A = 5525.4556
Approximate
A = 5525
Hence. the amount of sheet metal needed is 5525 cm²
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For each value of v, determine whether it is a solution to -6(v+4)=-6
Answers
Answer:
v = -3
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify given.
-6(v + 4) = -6
Step 2: Solve for v
[Division Property of Equality] Divide -6 on both sides:v + 4 = 1[Subraction Property of Equality] Subtract 4 on both sides:
v = -3
∴ the value of v is equal to -3.
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Topic: Algebra I
help 30 points for all ansers
Answers
The answers to the problem are:
a) The value of x is : 8
b) ∠ZRB and ∠BTS are not supplementary angles.
c) ∠BST and ∠RSB are complementary angles.
d) ∠ABT is an acute angle
e) SA is not the bisector of the angle ∠ZSY.
Types of AnglesAngles are formed when two lines meet and they are of different types.
acute: this is an angle less than 90°
obtuse: this angle is greater than 90° but less than 180°
reflex: this angle is greater than 180° but less than 360°
Analysis:
∠BRS = 180 - (20X - 22) = 202 - 20X
a) To find x, sum of angles in the triangle = 202-20x + 2x+32 + 5x+10 + 120-10x = 180
364 -23x = 180
23x = 364-180
23x = 184
x = 8
b) ∠ZRB = 20x-22 = 20(8) - 22 = 138°
∠BTS = 2x+32 = 2(8)+32 = 48°
138°+48° = 186° [tex]\neq[/tex] 180°
They are not supplementary
c) ∠BST = 120-10X = 120 - 10(8) = 40°
∠RSB = 5x+10 = 5(8)+10 = 50°
50+40 = 90°. They are complementary
d) ∠ABT = 180 - ∠ABR = 180 - 100 - x = 88°
It is acute since it is less than 90°
e) SA is not an angle bisector, since it dived the angles as 40° and 50° and not equal.
In conclusion, the solution to the questions are:
a) The value of x is : 8
b) ∠ZRB and ∠BTS are not supplementary angles
c) ∠BST and ∠RSB are complementary angles
d) ∠ABT is an acute angle
e) SA is not the bisector of the angle ∠ZSY
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Write an expression to represent:
"5 times the sum of 12
and a number"
Answers
5 (12 + x)
Step-by-step explanation:
Answer:
5(12+X)
Step-by-step explanation:
A sphere with a 2-inch radius is packed in a cube so that all sided touch. How much empty space is left in the cube?.
Answers
The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.
The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches
The side length of the cube = 4 inches
Because diameter of the sphere is 4 inches and all sided touch to the cube face.
Volume of the cube = 4³ = 64
The volume of the empty space = 64- 33.51 = 30.49 cubic inches
Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
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The sum of three consecutive intergers is 189 what are the integers
Answers
Answer:
62, 63, 64
Step-by-step explanation:
The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.
__
The middle integer is 189/3 = 63.
The three consecutive integers are 62, 63, 64.
_____
Additional comment
If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...
(x-1) +x +(x+1) = 189
3x = 189 . . . . . . . . . . . . simplify
x = 189/3 = 63 . . . . . . . divide by the coefficient of x
(x-1) = 63-1 = 62 . . . . . . find the other two integers
(x+1) = 63+1 = 64
A company that makes boxes finds that 7 out of 25 boxes are damaged. What percent of the boxes are damaged
Answers
Answer:
15%
Step-by-step explanation:
see the picture for explanation
Answer:
28%.
Step-by-step explanation:
That would be 100 * 7/25
= (100/25) * 7
= 4*7
= 28.
Layla owns a small business selling clothing. She knows that in the last week 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth.
Answers
Probability of paYing in credit card
11/830.13P(Not paying in credit card)
1-0.130.87The probability that the next customer will pay with something other than a credit card is 0.87.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that Layla owns a small business selling clothing. She knows that in the last week, 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card.
Based on these results we have;
Total cards=52+20+11=83
Probability of paying in credit card;
11/83
0.13
Now, P(Not paying in credit card)
1-0.13
0.87
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11. Graph.
y - 2 = -2 (x + 2)
Answers
Answer:
y=-2x
Step-by-step explanation:
should look like a straight line, that is going up to the left. crossing (0,0) and (1,-2)
Jorge is an administrative assistant. He was involved in a serious car accident and broke both wrists. Which of his
insurance plans will provide him with income while he is out of work recovering for six weeks?
A)short-term disability
B)workers' compensation
C)long-term disability insurance
D)medical insurance
Answers
Answer:
Medical Insurance
Step-by-step explanation:
Answer:
Medical Insurance
Step-by-step explanation:
serious car accident and broke both wrists.
How do I find the radius/x of a shaded region with it's area and/or angle measurement?
Answers
Answer:
[tex]x \approx 9.823\ ft[/tex]
Step-by-step explanation:
Remember that the area of a sector is defined as:
[tex]A = \frac{\theta}{360^\circ}\times \pi r^2[/tex]
In this problem, we are given the area [tex]A[/tex], and the angle [tex]\theta[/tex]. We can set up an equation to solve for the radius, which is x:
[tex]A = \frac{\theta}{360^\circ}\times \pi r^2\\128 = \frac{152}{360}\times \pi r^2\\128 \times \frac{360}{152} = \pi r^2\\\frac{5760}{19} = \pi r^2\\r = \sqrt{\frac{5760}{19 \pi}}\\r \approx 9.823[/tex]
Answer:
r ≈ 9.8 feet
Step-by-step explanation:
Formula of A Sector
Area (Sector) = πr² × θ/360°Substitute the given values in the formula to find r.
128 = 3.14 × r² × 152/36040.76 = r² × 19/45r² = 1834.2/19r² = 96.54r ≈ 9.8 feetwhat is the rule for 2;13;26;32?
Answers
Answer:
sequence
Step-by-step explanation:
Please help with this question I really need help!
Answers
Answer:
-6, -6
Step-by-step explanation:
Given :
y = x² + 12x + 36Solving :
This is of the form : a² + 2ab + b²Hence, the factored form is y = (x + 6)²y = (x + 6)(x + 6)x + 6 = 0 ⇒ x = -6x + 6 = 0 ⇒ x = -6The zeros are : -6, -6
What is the length of BC if AC is x+9. And AB is 2x-8
Answers
Answer:
BC = 17 - x
Step-by-step explanation:
Let AC be the line segment and B be some point on it,
AB + BC = AC
( 2x - 8 ) + BC = x + 9 ...............(1)
BC = x + 9 - ( 2x - 8 )
BC = 17 - x
What is the volume of the figure?
Answers
Answer:
341.25
Step-by-step explanation:
You first split the figure into 2 pieces the triangular prism and the rectangular prism now that we know the dimensions of each figure we can create an expression, we will start with the triangular prism. the expression will be 3/2 x 5/2 x 10.5. Then we solve the rectangular prism. 5 x 5 x 10.5.
Now that we have acquired all the math that we need we can continue to simplify. 3 x 2 x 5/2 was derived from (3 x 5)/2 and we physically drew it out with properties of algebra (a later topic to study) anyways we get 15/2=7.5 and we multiply that by 10.5 giving us 78.75. the triangular prism is easier we just do 25 x 10.5 giving us 262.5. Now that we have succumbed both figures we can combine the to get the volume which is 341.25 (78.75 + 262.5).
The sales tax rate is 10%. If Matt buys a computer keyboard priced at $34, how much tax
will he pay?
Answers
Answer:
$3.40
Step-by-step explanation:
10% of $34
= [tex]\frac{10}{100}[/tex] × $34
= 0.1 × $34
=$3.40
PLEASE HELP ASWER NEEDED BEFORE 2 HOURS!10. When adding or subtracting mixed numbers, you can use the To help separate the whole numbers from the fractions. Solve the following problems 11. + // 12.1 / +2/3/ 13. 10+ 39/160 14.6 / +9 15.3 1/1 + 4/1/20
Answers
Answer:
I was unable to do no. 10 hope others solution can help you
can someone help me with this? thank you!
Answers
Answer:
240cm³
Step-by-step explanation:
To find our answer we will multiply the volume, width, and height.
4 · 20 · 3 = 240. Therefore, 240cm³ is our answer.
Have a good day!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate its volume ~
Volume of a rectangular prism is :
[tex]\qquad \sf \dashrightarrow \:v = l \cdot w\cdot h[/tex]
[tex]\qquad \sf \dashrightarrow \:v = 20 \cdot 4\cdot 3[/tex]
[tex]\qquad \sf \dashrightarrow \:v = 240 \: \: cm {}^{3} [/tex]
What is the median of this data set?
22, 37, 49, 15, 72
А. 39
В. 37
С. 47
D. 49
Answers
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
8.9r-(-5s-10)
Answers
Answer:
8.9r + (5s + 10)
actually the parenthesis aren't necessary...
8.9r + 5s + 10
Step-by-step explanation:
You can change a subtraction to addition if you change the second term to the opposite sign. This problem is like advanced mode of "Add the Opposite"
8.9r - (-5s - 10)
= 8.9r + (+5s + 10)
= 8.9r + (5s + 10)
= 8.9r + 5s + 10
how to find slope within two sets of points
Answers
The slope within two sets of points is calculated using the slope equation [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
What is slope?The slope of a line or points is the rate of change of the line.
This in other words means that, the vertical change per unit horizontal change
Assume that the points are given as:
(x1, y1) and (x2, y2)
The slope (m) of the points is:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Hence, the equation of two sets of points is [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
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m = − 1 6 , (6, −3) y =
5
6
x + 3
Answers
Answer:
6
Step-by-step explanation:
that is because 6 is x and y is -3
Angles 1 and 2 are supplementary
Angle 1 = 30°
Answers
Answer:
Angle 2 = 150°
Step-by-step explanation:
▪︎ Measures of supplementary angles add up to 180°.
Therefore,
Angle 1 + Angle 2 = 180°
Angle 1 = 30°
30° + Angle 2 = 180°
Angle 2 = 180° - 30° = 150°
What is factorisation?
Answers
It is also called Middle Term Splitting
Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).
It is writing an expression as a product of 2 or more factors
Answer:
factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.
Step-by-step explanation
3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
Change 36.2% to a fraction.
Answers
Answer:
Step-by-step explanation:
Conversion
A % can always be changed into a decimal by dividing by one hundred. In this case
decimal = 36.2/100 = 0.262 \\
Answer: 0.262
Answer:
181/500
Step-by-step explanation: