Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So
[tex]p_R = 0.21*0.18 = 0.0378[/tex]
Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So
[tex]p_P = 0.39*0.61 = 0.2379[/tex]
Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So
[tex]p_S = 0.4*0.21 = 0.084[/tex]
Probability of roommate A winning:
[tex]p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597[/tex]
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
A phone plan costs $10 per month, plus $0.03 per text message. John wants his phone bill to be less than $40, before taxes. What is the
maximum number of text messages John can send?
A.) 333
B.) 999
C.) 1,333
D.) 1,666
Answer:999
Step-by-step explanation:
0.03x999=29.97
29.97+10=39.97$
Answer:
39.97
Step-by-step explanation:
find the value of x.
Answer:
x = 120 degress
Step-by-step explanation:
I can help with more, I have the answers.
PLS ITS URGENT
Question
LE
Find the measure of 2B. Use the inverse tangent (tan-') function of your calculator. Express your answer
to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.
Tan B = [tex]\frac{opp}{adj}[/tex]
Tan B = [tex]\frac{15}{16}[/tex]
B = [tex]tan^{-1}[/tex]([tex]\frac{15}{16}[/tex])
B = 43.15238973 degrees
Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
i did the work
What is the correct factorization of -3x^2+16x+35
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Why do ratios change?
Answer:
Generally, your current ratio shows the ability of your business to generate cash to meet its short-term obligations. A decline in this ratio can be attributable to an increase in short-term debt, a decrease in current assets, or a combination of both.
Sometimes, a low current ratio could suggest problems with inventory management, ineffective or lax standards for collecting receivables, or an excessive cash burn rate. Increases in the current ratio over time may indicate a company is "growing into" its capacity (while a decreasing ratio may indicate the opposite).
Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)
Answer:
85.99% of airline passengers incur this fee.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Mean 46 pounds and standard deviation 3.7 pounds.
This means that [tex]\mu = 46, \sigma = 3.7[/tex]
Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 46}{3.7}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a pvalue of 0.8599
0.8599*100% = 85.99%
85.99% of airline passengers incur this fee.
The volume of a pyramid with a square base is given by the expression sh, where s is the length of a side of the base and his the height Find the volume of a pyramid with a square base of side length 24 feet and a height of 30 feet
Answer:
v=l×b=
l=24
h=30
v=24×30=
54
v=54.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y – 2 = -8
Answer:
[tex]y = x - 4[/tex]
Step-by-step explanation:
Given
[tex]2y - 2x = -8[/tex] -- correct expression
Required
Represent as slope intercept form
[tex]2y - 2x = -8[/tex]
Make 2y the subject
[tex]2y = 2x - 8[/tex]
Divide through by 2
[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]
[tex]y = x - 4[/tex]
What is the volume, in cubic
inches, of one cube with an edge length of 1/3
inch?
9514 1404 393
Answer:
1/27 cubic inch
Step-by-step explanation:
The volume of a cube is the cube of its edge length:
V = s³
V = (1/3 in)³ = 1/3³ in³ = 1/27 in³
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
Instructions
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 6 inches
Width: 2 and a half inches
Height: 12 inches (1 foot)
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10?
Answer:
I chose a box of cereal-------> rectangular prism
see the attached figure
Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm
Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base
the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm
Part 3)
What is the surface area of the box?
surface area=2*area of the base+perimeter of the base*height
area of the base=20*8=160 cm²
perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm
surface area=2*160+56*32------> 2,112 cm²
the answer part 3) is
2,112 cm²
Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?
we know that
surface area of the larger box=[scale factor]²*surface area original box
scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²
the answer part 4) is
211,200 cm²
Part 5)
What is the volume of the box?
volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³
the answer Part 5) is
5,120 cm³
Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
Step-by-step explanation:
Answer:
541/2 square
Step-by-step explanation:
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is 541/2 square
the fork is my user
Answer:
cool
Step-by-step explanation:
Answer:
LOL that's just
Step-by-step explanation:
epik uhhh wsg?
A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?
Add both distances together:
50 + 22 = 72 feet total distance.
8/15-1/5
For points or brainliest
Answer:
1/3
Step-by-step explanation:
The answer is 1/3 to find out how look at the picture above!
[tex]simplify \sqrt{21 - 20i} [/tex]
Answer:
o. k this is a required answere
After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
Answer:
3 scoops for $3.69 is the best deal
Evaluate the expression when c=5 and d=7.
c+6d
Help!!!!
Answer:
47
Step-by-step explanation:
substitute the value of 5 in for c and 7 in for d;
(5) + 6(7)
5 + 42
47
APPLICATIONS
LINE RELATIONSHIPS Think of each segment in the diagram as part of a
line. Fill in the blank with parallel, skew, or perpendicular.
10. DE, AB, and GC
С
DĖ and BE are 2
A А
12. BE and GC
13. Plane GAD and plane CBE are
D
E
are
11.
B В
are
Answer:bb
Step-by-step explanation:
16d + 20c + 5d -7 - 8c - 7d + 3 Evaluate the expression if: d= -3 and c= 4
Answer:
2
Step-by-step explanation:
d.
16x-3= -48
5x-3= -15
-7x-3= 21
=-42
c.
20x4= 80
-8x4= -32
= 48
-7+3= -4
mr hoges wonts to buld a fences around his entir retangler garden what is the totle distance around his garden
Answer:
perimeter = 2(length) + 2(width)
Step-by-step explanation:
What’s the slope of y = -3x + 5? *
Answer:
-3
Step-by-step explanation:
The number connected to the x is the slope, the number being added on or subtracted is the y-intercept
Answer:
m=-5
Step-by-step explanation:
Solve 5x + 34 = –2 + 7x for x.
Question 14 options:
A)
x = 12
B)
x = 18
C)
x = –16
D)
x = –24
Answer:
x = 18
Step-by-step explanation:
Complete the statement describing the solution set to this compound inequality.
Complete the statement describing the solution set to this compound inequality. 3 − 2x ≥ 11 or x + 6 > 14
The solution set includes all values of x that are ___ or ___
a. no more than -4
b. no more than -7
c. at least -7
d. at least -4
a. less than 8
b. less than 20
c. greater than 20
d. greater than 8
Answer:
I believe it is D. at least -4 and also D. greater than 8
Step-by-step explanation:
The solution set includes all values of x that are a. no more than -4 or d. greater than 8.
What is a linear inequality ?Comparing linear expressions which are non equal by inequity signs.
According to the given data.
Complete the statement describing the solution set to this compound inequality 3 − 2x ≥ 11 or x + 6 > 14.
For 3 - 2x ≥ 11
3 - 2x ≥ 11
- 2x ≥ 11 - 3
-2x ≥ 8
- x ≥ 4
Now make x positive by moving it to the other side and this also switches the inequality.
∴ x ≤ - 4.
For x + 6 > 14
x + 6 > 14
x > 14 - 6
x > 8.
So we have two value of x one is less than or equal to -4 and the other is greater than 8.
Learn more about inequalities here :
https://brainly.com/question/20383699
#SPJ6
Please help me I can’t figure out how to solve
Answer: The answer is 20
Step-by-step explanation:
x-9.5=10.5
+9.5 +9.5
10.5+9.5=20
20-9.5=10.5
I hope this helps if so please mark brainliest
guys pls help me pls
Answer:
[tex]77 {m}^{2} [/tex]
Step-by-step explanation:
Given,
Height of the parallelogram = 7m
Base of the parallelogram = 11 m
Therefore, area of the parallelogram = b × h
= 7m × 11m
[tex]77 {m}^{2} (ans)[/tex]
If sin(x) = cos(y), which of these are possible values of x and y?
A X=and y = 0
B x = 15 and y = 30
C x = 30 and y = 60
D x = 120 and y = 60
Step-by-step explanation:
C
good luck
:) :) :) :) :) :) :)
The value of x and y are respectively, 30°, 60°. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
If sin(x) = cos(y), then x and y must satisfy the following relationship:
sin(x) = cos(90 - x)
So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.
Therefore, the only possible values of x and y that satisfy this relationship are:
x = 30 degrees and y = 60 degrees
Thus, the value of x & y are 30° & 60°
To know more about trigonometry check:
https://brainly.com/question/29002217
#SPJ6
Pick the similar triangles
Pl help it’s for a grade
Answer:
A
Step-by-step explanation:
Answer:
23 m, South
Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south
find c and round to the nearest tenth
Answer:
Step-by-step explanation:
<C = ?
a = 22
b = 20
c = 18
Formula
c^2 = a^2 + b^2 - 2*a*b* cos(C)
Solution
18^2 = 22^2 + 20^2 - 2*22*20*cos(C)
324 = 484 + 400 - 880*cos(C)
324 = 884 - 880*Cos(C)
-560 = - 880 * cos(C)
-560 / - 880 = cos(C)
0.63636 = cos(C)
C = cos-1(0.63636)
C =50.48
Answer:
20
Step-by-step explanation:
Two teams of students are testing the effect of light on a radiometer. Team 1 finds that blue light makes the radiometer spin slower when a blue light is 35 centimeters (cm) away. To validate Team 1's test results, how must Team 2 test the radiometer?
Answer:
eafyb jdgjn sfh sg jddxhu fiuecbjz sghvhl
Answer:
It is Test it with a blue light that is 45 cm away.
Step-by-step explanation: Because it is right and I did this with my teacher and it is Test it with a blue light that is 45 cm away. hehe
What is 2/3 divided by 5
Answer: Hey here’s your answer: 2/3 divided by 5=2/15
Hth
Step-by-step explanation:
Answer:
2/15 is ur answer
Step-by-step explanation:
2/3 ÷ 5
2/3 x 1/5
2/15
