Answer:
b = 5
Step-by-step explanation:
3b - 4 = 11
Add 4 to each side
3b - 4+4 = 11+4
3b = 15
Divide each side by 3
3b/3 = 15/3
b = 5
Answer:
b = 5
Step-by-step explanation:
3b - 4 = 11
3b - 4 + 4 = 11 + 4
3b = 15
3b ÷ 3 = 15 ÷ 3
b = 5
See image for question.
Question Continuation :
1.construct a table for the sample space of the random experiment.
2.using the sample space find the probability that the total score of the two dice is:
a. greater than or equal to 5
b. greater than 5 but less than 8.
Answer:
See belowStep-by-step explanation:
#5
P(man) = 8/15P(lady) = 7/15(a)
P(both ladies) = 7/15*6/14 = 1/5(b)
P(both men) = 8/15*7/14 = 4/15(c)
P(same sex) = P(both men or both ladies) = 1/5 + 4/15 = 7/15(d)
P(different sexes) = P(man and lady or lady and man) = 8/15*7/14 + 7/15*8/14 = 8/15Another way:
P(different sexes) = 1 - P(both ladies) - P(both men) = 1 - 1/5 - 4/15 = 8/15#6
Sample space:
1, 1 - 1,2 - 1,3 - 1,42,1 - 2,2 - 2,3 - 2,43,1 - 3,2 - 3,3 - 3,44,1 - 4,2 - 4,3 - 4,4Total 16 outcomes
a)
P(sum ≥5) = 10/16 = 5/8b)
P(5<sum<8) = P(6 or 7) = 5/16Solve 3b = 6v – 3b, for v.
6b-6
b
b-6
0
Answer:
b = v
Step-by-step explanation:
3b = 6v – 3b
Add 3b to each side
3b+3b = 6v – 3b+3b
6b = 6v
Divide by 6
6b/6 = 6v/6
b = v
answer and explain step by step please
Answer:
m∠6 = 110°
Step-by-step explanation:
∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.
Answer:
11o degree
Step-by-step explanation:
angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.
Solve for x. Write your answer as “x=__”
Answer:
9x+3x=12x
180/12=15
9 x 15= 135
3 x 15= 45
135+45=180
x=15
Step-by-step explanation:
What is the value of x?
x = [ ? ]
Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
What is the volume, in cubic meters, of a rectangular prism with a height of 14
meters, a width of 12 meters, and a length of 2 meters?
Answer:
336 m³
Step-by-step explanation:
You just have to multiply the height × width × lenght:
12×14×2=336
a park is 9/10 mile long and 4/5 mile wide. What is the area of the park? ENTER ANSWER AS A FRACTION FOR EXAMPLE: 4/10.
The park formed like a rectangle so :
Area = length × width
Area = ( 9/10 ) × ( 4/5 )
Area = 9 × 4 / 10 × 5
Area = 9 × 2 × 2 / 5 × 5 × 2
Area = 18 / 25
pls help me solve this
Answer:
Step-by-step explanation:
5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]
=5*6+5/6 * 4*2+1/2
=35/6 * 9/2
=35*9/6*2
=315/12
=105/4
=26[tex]\frac{1}{4}[/tex]
the radius of the cylinder is 6 m and the height is 10 m what's the volume?
What is m<1?
A. 24°
B. 26°
C. 28°
D. 52
Answer:
24
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
<1 = 1/2(104-56)
<1 = 1/2(48)
<1 = 24
Answer:
A, you bad the correct answer
Step-by-step explanation:
^
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Answer:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Step-by-step explanation:
The number of multiple-choice questions and the number of short answer type questions are the same.
Let it be equal to [tex]x[/tex]
→Average time it takes to attempt multiple choice question = 2 minutes
→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes
→Average time it takes to attempt short answer type question = 3.5 minutes
→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes
Total time for the test should be less than 45 minutes.
Now finally, we can make an equation out of the information listed above:
[tex]2x +3.5x <45[/tex]
[tex]\\ 5.5x <45[/tex]
[tex]x < 8.18[/tex]
Hence the value of [tex]x = 8[/tex]
In a group of 340 people, 150 like tea, 90 like tea only, 80 like coffee only, 70 like milk only and none of them liko coffee and milk only, find the number of people who dont like any of the three drinks.
plz answer fast! help mee
Answer:
40 people who don't like any of the three drinks.
Step-by-step explanation:
It is given there are 340 people in total
Number of people like tea=150
Number of people like tea only =90
Number of people like coffee only =80
Number of people like milk only =70
Number of people like coffee and milk only = 0
We can draw Venn diagram which helps us to find the number of people who don't like any of these three drinks. I'll attach the file.
Find the value of cos F rounded to the nearest hundredth, if necessary.
Answer:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Step-by-step explanation:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Here’s the question!!!
Answer:
The answer is 3/4 because 2/4 + 1/4 = 3/4.
What is 50% of 50% of 50%
Step 1:
50%= 50/100 = 0.5
Step 2:
50% of 50%= (50×0.5)/100= 0.25
Step 3:
50% of 50% of 50% = (50×0.25)/100= 0.125
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Karen and Lawrence are heading out on a group scuba trip. They each bring air tanks for their dives. Karen brought x amount of air tanks, and Lawrence brought 3x . If Lawrence brought 18 tanks, how many did Karen bring?
Answer:
6
Step-by-step explanation:
[tex]3x = 18[/tex]
[tex] \frac{3x}{3} = \frac{18}{3} [/tex]
[tex]x = 6[/tex]
Part 3 Last part Jim Homework Algebra
Answers:
11. D) There appears to be an association between the variables. Since the teams with animal mascots win 74% of their games played and those with another type of mascot only win 49% of their games, the large difference suggests an association.12. A) 913. D) There appears to be an association. Since there is a difference in percentages for modern and classical styles for the type of art.14. D) 59%15. A) 60%=================================================
Explanations:
11. If the columns were identical (or nearly so) then that would suggest there isn't any association. However, the columns are different so it's likely we have association going on. Changing the mascot type appears to have an effect on whether the team wins or loses. In other words, the variables appear to be dependent.12. Let x be the missing value in the table. Solve the proportion x/18 = 27/54 and you should get x = 9. If 9 goes in that table, then it will produce identical row relative frequencies (and identical column relative frequencies as well) which would then lead us to conclude that there probably isn't any association between the variables.13. This is similar to problem 11. The columns being different percentages shows that changing the art style changes the make up of the sculptures and paintings. 14. There are 37+54 = 91 people who prefer the beach (instead of skiing). Of this total, 54 are away from the coast. So roughly 54/91 = 0.59 = 59% of the beach-goers are away from the coast.15. Same idea as the previous problem. We have 24+36 = 60 people who like to ski, and 36 people are away from the coast. So 36/60 = 0.60 = 60% of the skiers are away from the coast.Help me!!! Find the domain of the function. Write the answer in interval notaion.
Answer:
first option
u can also write it as x = R /{-,+4}
A cylindrical juice container has the dimensions shown below.
What is the exact volume of this container in terms of pi?
A. 127 in?
B. 271 in
C. 811 in?
D. 3241 in
9in
3in
Answer:
[tex]81\pi in(2) [/tex]
81pi
In a poll, respondents were asked whether they had ever been in a car accident. 259 respondents indicated that they had been in a car accident and 442 respondents said that the had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident
Answer:
259 / 701
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of getting someone who has been in a car accident = number of respondents that have been in an accident / total number of respondents
total number of respondents = 259 + 442 = 701
= 259 / 701
The price of an item has been reduced by 20%. The original price was $35. What is the price of the item now?
Answer: The price of the item is now $28
Step-by-step explanation:
20% of 35 is 7 and 7-35=28
Answer:
$28
Step-by-step explanation:
35 - 20% = 28
The heights of two different children were recorded in the chart.
What type of visual display could be used to compare the two data sets?
box-and-whisker
scatter plot
neither of these
both of these
Answer:
Scatter plot makes the most sense
Step-by-step explanation:
PLEASE HELP ASAP - ILL GIVE BRAINLIEST
Answer:
4) [tex]y=-\frac{1}{3} (x-2)^2-3[/tex] 7) [tex]2x^2+12x+18[/tex]
5) [tex](-2,-3)[/tex] 8) [tex](0,-3)[/tex]
Step-by-step explanation:
7) Add [tex]2y^2[/tex] to both sides of the equation.
[tex]x-12y-18=2y^2[/tex]
Add 12y to both sides of the equation.
[tex]x-18=2y^2+12y[/tex]
Add 18 to both sides of the equation.
[tex]x=2y^2+12y+18[/tex]
Use the form of [tex]ax^{2} +bx+c[/tex] to find the values of a, b, and c.
a = 2, b = 12, c = 18
Substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]
[tex]d=\frac{12}{2(2)}[/tex]
Simplify the bottom.
d = 3
Find the value of e using the formula e = [tex]c-\frac{b^2}{4a}[/tex]
Raise 12 to the power of 2
[tex]e=18-\frac{144}{4(2)}[/tex]
Multiply 4 by 2.
[tex]e=18-\frac{144}{8}[/tex]
Divide 144 by 8.
[tex]e=18-1[/tex] · 18
Multiply [tex]-1[/tex] by 8.
[tex]e = 18-18[/tex]
Subtract 18 from 18.
e = 0
Substitute the values of a, d, and e into the vertex form [tex]a(x+d)^2+e[/tex].
[tex]2(y+3)^2+0[/tex]
Set x equal to the new right side.
[tex]x=2(y+3)^2+0[/tex]
Use the vertex form, [tex]x=a(y-k)^2+h[/tex], to determine the values of a h & k.
a = 2
h = 0
k = [tex]-3[/tex]
Find the vertex [tex](h,k)[/tex]
[tex](0,-3)[/tex]
(8k+3) (2k+7)
find the product
Answer:
16k^2 + 62k + 21
Step-by-step explanation:
We can distribute:
(8k + 3)(2k + 7)
(8k)(2k) + (8k)7 + 3(2k) + 3(7)
Now, we can simplify:
16k^2 + 56k + 6k + 21
16k^2 + 62k + 21
in a class test (+ 5) marks are given for every correct answer and (-3) marks are given for every incorrect answer.
a) Anu gets 8 correct answer and 12 incorrect answers what is her score?
b) Sam answered all the questions and scored 28 marks though he got 11 correct answers.
How many incorrect answers had he attempted?
● Please answer my question and I do not need any links
Answer:
a. 4 marks b. 9 questions
Step-by-step explanation:
a) Anu gets 8 correct answer and 12 incorrect answers what is her score?
Since Anu got 8 correct answer and 12 incorrect answers, and + 5 marks is given for every correct answer and (-3) marks are given for every incorrect answer, the total score for correct answers is number of correct answer × marks for correct answer = 8 × (+ 5) = 40.
Also, the total score for incorrect answers is number of incorrect answer × marks for incorrect answer = 12 × (- 3) = -36.
Anu's total score = total score for correct answers + total score for incorrect answers = 40 + (-36) = 40 - 36 = 4 marks.
So, Anu scored 4 marks.
b) Sam answered all the questions and scored 28 marks though he got 11 correct answers. How many incorrect answers had he attempted?
Let x be the number of incorrect answers. Since the marks for incorrect answers is -3, then his total score for incorrect answers is -3x.
Since Sam got 11 correct answers and is given + 5 marks for each correct answer, then his total score for correct answers is 11 × (+5) = +55.
Since he gets a total of 28 marks, we have that total score for incorrect answer + total score for correct answer = 28.
So, -3x + 55 = 28
Solving for x, we have
-3x = 28 - 55
-3x = -27
x = -27/-3
x = 9
Since x = 9, Sam attempted 9 incorrect questions.
.
Answer:
He or she attempted 9 incorrect answers
Step-by-step explanation:
write a rule to describe the transformation
A. (x, y) (x, y)
B. (x, y) (3x, 4y)
C. rotation 180° about the origin
D. (x, y) (x-2 y-6)
please help me I'll really appreciate it
Answer:
D
Step-by-step explanation:
you need to subuce the x-2 and y-6
John gets 3 Dollars and 12 cents everyday by mowing lawns, but he's been noticing that every time he mows his lawns he get 0.2 more money than he did before that lawn mowing session if John mowes two lawns every day and John starts at 3 Dollars and 12 cents, in 1 week how much money will John have made?
What is the simplified expression for 2(x-5)?
2x
-10x
2x-10
2x+5
Answer:
2x-10
Step-by-step explanation:
2(x) - 2(5) = 2x - 10
26 cm
If ABCD is a parallelogram then what is its perimeter?
D
15 cm
A
B
31 cm
82 cm
41 cm
78 cm
Answer:
82cm
Step-by-step explanation:
26+26+15+15=82
Which are the solutions of 5x2 + 2x - 3 = 0 by factoring?
Answer:
[tex]x=\frac{3}{5}[/tex]
x = - 1
Step-by-step explanation:
5x² + 2x - 3 = 0
5x² + 2x - 3x = 0
(5x² + 5x) + (- 3x - 3) = 0
5x(x + 1) - 3(x + 1) = 0
(5x - 3)(x + 1) = 0
Create separate equations.
5x - 3 = 0
x + 1 = 0
5x - 3 = 0
5x - 3 + 3 = 0 + 3
5x = 3
5x ÷ 5 = 3 ÷ 5
[tex]x=\frac{3}{5}[/tex]
x + 1 = 0
x + 1 - 1 = 0 - 1
x = - 1
