In the figure below, the areas of rectangles A, B, and C are 12, 24, and 40, respectively. Find the area of rectangle D.
Answer:
In the figure below, the areas of rectangles A, B, and C are 12, 24, and 40, respectively. Find the area of rectangle D.
Step-by-step explanation:
here is the picture:
One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R4 and R5) and two blue balls (B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. a. Construct the possibility tree showing all possible outcomes of this experiment. b. What is the total number of outcomes of this experiment
Answer:
(a) See attachment for tree diagram
(b) 24 possible outcomes
Step-by-step explanation:
Given
[tex]Urn\ 1 = \{B_1, R_1, R_2, R_3\}[/tex]
[tex]Urn\ 2 = \{R_4, R_5, B_2, B_3\}[/tex]
Solving (a): A possibility tree
If urn 1 is selected, the following selection exists:
[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]
If urn 2 is selected, the following selection exists:
[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]
See attachment for possibility tree
Solving (b): The total number of outcome
For urn 1
There are 4 balls in urn 1
[tex]n = \{B_1,R_1,R_2,R_3\}[/tex]
Each of the balls has 3 subsets. i.e.
[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]
So, the selection is:
[tex]Urn\ 1 = 4 * 3[/tex]
[tex]Urn\ 1 = 12[/tex]
For urn 2
There are 4 balls in urn 2
[tex]n = \{B_2,B_3,R_4,R_5\}[/tex]
Each of the balls has 3 subsets. i.e.
[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]
So, the selection is:
[tex]Urn\ 2 = 4 * 3[/tex]
[tex]Urn\ 2 = 12[/tex]
Total number of outcomes is:
[tex]Total = Urn\ 1 + Urn\ 2[/tex]
[tex]Total = 12 + 12[/tex]
[tex]Total = 24[/tex]
In the equation 2r - 7 = 15, what value of r makes this equation true?
Answer:
11
Step-by-step explanation:
2r - 7 = 15
2r = 15 + 7
2r = 22
r = 22 / 2
r = 11
The force F (in pounds) needed on a wrench handle to loosen a certain bolt varies inversely with the length L (in inches) of the handle. A force of 30 pounds is needed when the handle is 4 inches long. If a person needs 25 pounds of force to loosen the bolt, estimate the length of the wrench handle. Round answer to two decimal places if necessary.
____ inches
Step-by-step explanation:
See the photo for the method
I need help with this ASAP please help
Problem 7
Answer: 60-----------------------
Explanation:
Let's say we only worried about the colors and the sizes. We have 3 colors and 4 sizes, giving 3*4 = 12 different combos. Think of a table that's 3 rows and 4 columns. We'd have 12 inner cells. Each cell represents a different combo.
This idea extends out to not just two factors, but we can have as many as we want. In short, we simply multiply the values given to us: 3*4*5 = 12*5 = 60 different t-shirts. Your math textbook or your teacher may refer to this method as the counting principle, though they may use another term.
========================================================
Problem 8
Answer: 224-----------------------
Explanation:
We use the same idea as problem 7.
4*7*8 = 28*8 = 224 different coats
As an alternative, you can draw out a tree diagram. However, these types of drawings can get very cluttered.
========================================================
Problem 9
Answer: 5040-----------------------
Explanation:
We'll use the same idea as before.
We have 10 choices for the first slot (0 through 9)
Once the first digit is selected, then we have 10-1 = 9 choices left for slot two
Then slot three has 9-1 = 8 choices, and so on.
We have this countdown: 10, 9, 8, 7
The countdown stops once we filled out the four slots. Multiply these values to get the final answer: 10*9*8*7 = 5040. The multiplication step is where we refer to the ideas mentioned in problems 7 and 8 earlier.
Keep in mind that this allows for 0 to be in the first slot. So a number like "0179" is one possibility here. If 0 is not allowed for the first digit, then you'll compute the answer like so:
9*9*8*7 = 4536
This is because we have 9 choices for the first digit, then 9 for the next, and so on. I would ask your teacher for clarification on this one.
nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by the two strings is 26 as shown in the figure below. find the distance between the kites.
Answer:
48.49 feet
Step-by-step explanation:
The diagrammatic sketch of the information provided in the question was attached in the image below.
From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:
[tex]c^2 = a^2 + b^2 -2ab cos \ C[/tex]
where;
a = 110
b = 104
Cos C = 26°
Then;
[tex]c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}[/tex]
Each year the admissions committee at a top business school receives a large number of applications for admission to the MBA program and they have to decide on the number of offers to make. Since some of the admitted students may decide to pursue other opportunities, the committee typically admits more students than the ideal class size of 720 students. You were asked to help the admission committee estimate the appropriate number of people who should be offered admission. It is estimated that in the coming year the number of people who will not accept the admission is normally distributed with mean 50 and standard deviation 21. Suppose for now that the school does not maintain a waiting list, that is, all students arc accepted or rejected. a. Suppose 750 students are admitted. What is the probability that the class size will be at least 720 students'
Answer:
0.1711 = 17.11% probability that the class size will be at least 720 students
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Our random variable X is the number of students not taking admission, which has mean [tex]\mu = 50[/tex] and standard deviation [tex]\sigma = 21[/tex]
a. Suppose 750 students are admitted. What is the probability that the class size will be at least 720 students?
30 or less students do not take admission, which means that this is the pvalue of Z when X = 30.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 50}{21}[/tex]
[tex]Z = -0.95[/tex]
[tex]Z = -0.95[/tex] has a pvalue of -0.1711
0.1711 = 17.11% probability that the class size will be at least 720 students
The graph of -4x +3y-5= 0 passes through two points, A(2a, -1) and B(4,b). What is the value of a-b?
Answer:
-8
Step-by-step explanation:
The steps are in the photo I attatched
plz solve it CORRECTLY step by step
Answer:
[tex]\dfrac{6}{10}ab[/tex]
Step-by-step explanation:
Given that,
The first number is [tex]\dfrac{-3a}{7}[/tex]
The second number is [tex]\dfrac{-21b}{15}[/tex]
We need to find the product of the first number and second number. Product means we need to multiply i.e.
[tex]\dfrac{-3a}{7}\times \dfrac{-21b}{15}=0.6ab\\\\=\dfrac{6}{10}ab[/tex]
Hence, the product of the given numbers is equal to [tex]\dfrac{6}{10}ab[/tex].
Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8
Answer:
A) 32
Step-by-step explanation:
f(3)=1/2(4)^(3)
What is the value of b on the number line below?
solve for x what is the answer?
Answer:
x=12
Step-by-step explanation:
The side lengths on the big polygon are just the side lengths of the small one by 4.
Helpppp Meeeee Plzzz
h=3 cause 3x30=90 ig loo
PLEAASE help asap plzz <3 the question is in the file/attachment :) its 60 points <3
Answer:
Step-by-step explanation:
y=1/2x+1
y=mx+b where m=slope and b=y-intercept
in this case, m=1/2, b=1
y-intercept: (0, 1)
---------------------------------
y=-x+4
y=mx+b where m=slope and b=y-intercept
in this case, m=-1, b=4
y-intercept: (0, 4)
------------------------------------
1/2x+1=-x+4
1/2x-(-x)+1=4
1/2x+x=4-1
1/2x+2/2x=3
3/2x=3
x=3/(3/2)
x=(3/1)(2/3)
x=6/3
x=2
substitute x=2, into y=1/2x+1
y=1/2(2)+1=1+1=2
x=2, y=2.
The lines intersect at point (2, 2).
answer:
Y=1/2x+1 M=1/2 and B=1 Y internsept is 1
Y=-x+4 M=-1 and B=4 Y-internsept is 4
Lines will internsept at (2,2)
d1 = 14 m; d2 = 22 m
Answer:
what is the question ?
Step-by-step explanation:
Answer:
[tex]area = d _{1} × d _{2} \\ d = 14 × 22 \\ = 308 \: m²[/tex]
QUESTION 4 · 1 POINT
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run= 15 feet
Rise = 10 feet
What is its slope?
ILL GIVE BRAINLEST, find the value of x
Answer: 116
Step-by-step explanation:
Sarah had a party and brought 4 pizzas. Each pizza had 12 slices. At the end of the party, there were 1 3/4 pizzas left. How many slices of pizza were eaten?
Answer: 27
Step-by-step explanation:
12x4=48
then 3+3+3=9
then add 12 because of the 1
then 48-21=27
Answer:
Step-by-step explanation: answer 27
27
12x4=48
then 3+3+3=9 because its 3/4
then you add 12 because of the 1
then 48-21=27
Solve the inequality. graph the solution given below
2 < -y/5
Answer: Inequality Form: y<-10 or Interval Notation: (-∞,-10)
Answer:
y<-10
Step-by-step explanation:
to remove the fraction then set to 0 and solve
find the volume of each rectangular prism 10in, 24in, & 4.5in
9514 1404 393
Answer:
1080 in³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH
Fill in the given numbers and do the arithmetic.
V = (10 in)(24 in)(4.5 in) = 1080 in³
The circumference of Joe's bicycle wheel is 65 inches. What is the radius of the wheel? round to the nearest tenth
Answer:
10.3
Step-by-step explanation:
Answer:
10.4 in.
Step-by-step explanation:
To find the radius of a circle from the circumference, divide the circumference by pi, then, divide the quotient by 2.
65 is the circumference of Joe's bicycle.
65 ÷ 3.14 = 20.7006369427
20.7006369427 ÷ 2 = 10.3503184714
10.3503184714 ≈ 10.4
Therefore, 10.4 is the radius of the wheel rounded to the nearest tenth.
There _____________ with angle measures of 30°, 70°, and 80°
.A.is no triangle
B.is exactly 1 triangle
C.are exactly 2 triangles
D.are more than 2 triangles
need correct answer and no link then i will give you brainiest and b is wrong just saying..
Answer:
more than 2 triangles
Step-by-step explanation:
well, all triangles have angles add up to 180 degrees, so it is an infinite amount
Question 6
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>
Find the equation of the line through the points (-4,6) and (1,-9). Write your answer in the form
y = mx + b.
Answer:
m=Y2–Y1/X2–X1
[tex]m = \frac{ - 9 - (6)}{1 - ( - 4)} \\ m = \frac{ - 15}{5} = - 3 \\ y = mx + b \\ y = - 3x + b[/tex]
Answer: y = -5x - 14
Step-by-step explanation:
first find the difference between the x variables x1 = 1 and x2=-4 to find the slope(m)
-4 - 1 = -5
next find the difference between the y variables to find b
-9 - 6 = -14
Please help meeeeeeeeeee
Answer:
x=72
y=54
Step-by-step explanation:
1st question. y=54 because it is a bisector of the 108 degree angles. (a polygon's interior angles add to number of sides minus 2 times 180)
There are two ys, so they add up to 108. A triangle's interior angles add to 180. 180-108 =72 x=72
2nd question, x is 72 ( it says x is the same measure) so 180-72=2y.
y still equals 54
Answer:
this is so easy
Step-by-step explanation:
3000* (15) (300) divided by 20 x 60 100ft divided by 40
A box of cereal has a volume of 144in^ 3 . The height of the cereal box is 12 inches , and the depth is 2 inches. What is the width of the cereal box?
Answer:
6 inches
Step-by-step explanation:
Plug the known values into the equation for volume ([tex]V=lwh[/tex]) and solve for width.
Answer:
The numerical answer you want is 6
Step-by-step explanation:
V = L * W * H
H = 12
L = 2
V = 144
w = ?
Solution
144 = 2 * 12 * w
144 = 24 * w
w = 144/12
w = 6
WILL GIVE BRAINLIEST! BEING TIMED
PRE-CALC
if a number is added to it's square, the result is six. Find the number
Answer:
is the number 2?
Step-by-step explanation:
Answer:
The number could be
1 1/2 or -2
explanation:
From the data, taking the number to be x, we write:
2x^2 + x =6
Subtract 6 from both sides.
2x^2 + x - 6 = 0
Factorise.
2x^2 + 4x - 3x - 6 = 0
2x(x + 2) - 3(x + 2) = 0
(2x - 3)(x + 2) = 0
2x - 3 = 0 or x +2 = -2
x = 3/2 = 1 1/2 or x = -2
square root 30 times square root 10
Answer:
10[tex]\sqrt{3}[/tex]
Step-by-step explanation:
What is (+12) – (-8)?
Answer:
+12+8＝+20
Step-by-step explanation:
Hope it helps you!
Answer:
[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]( + 12) - ( - 8) \\ = 12 + 8 \\ = + 20[/tex]
[tex]{\boxed{\boxed{\tt { Note :-}}}} \ [/tex]
[tex] - + - = + [/tex]
a Use scientific notation to write the following numbers.
56,210
And
-0.034
Answer:
5.621 * 10
-3.4^ 10^-2.
Step-by-step explanation: