Answer: p = 1/6.
Step-by-step explanation:
First, we have two fair dice, so we have two events.
The number of outcomes for each dice is 6, then the total number of outcomes for the two dice is equal to the product of the number of outcomes in each event.
C = 6*6 = 36.
Now, the combinations that have a sum larger than 10 are:
4 and 6.
6 and 4
5 and 5
5 and 6
6 and 5
6 and 6.
So we have 6 outcomes where the sum of both numbers is larger than 10.
Now, the probability will be equal to the quotient between the number of outcomes where the sum is larger or equal than 10, and the total number of outcomes:
P = 6/36 = 1/6.
A fair die is thrown once.find the probability that an odd number appears?
Hi
on a regular dice you have 3 even number : 2 ;4;6
3 odd number : 1;3;5
so probability to have an odd number is : 3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
On normal six-sided die, there are the numbers: 1, 2, 3, 4, 5, and 6.
The odd numbers are 1, 3, and 5.
There is a [tex]\frac{1}{6}[/tex] chance that you will roll any number specifically. Since you stated 3 numbers, the probability that you will roll any of those three numbers is [tex]\frac{3}{6}[/tex], which is equivalent to [tex]\frac{1}{2}[/tex].
when you form General ideas the rules based on your experiences and hit up vacations you call that form of reasoning ___.
Whhen you form General ideas the rules based on your experiences and hit up vacations you call that form of reasoning what?
[tex]\huge\tt\red{AnswEr}[/tex]
[tex]\huge\implies\tt\underline{Induction}[/tex]
B(7, 2) and C(-1,-9) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Answer:
(3,-3.5)
Step-by-step explanation:
[tex]Mid-point formula : \frac{ x_{1} +x_{2}} {2}, \frac{y_{1}+y_{2} }{2} \\\\x=\frac{7+(-1)}{2} , y= \frac{2+(-9)}{2} \\x= \frac{6}{2} , y= \frac{-7}{2} \\x=3 , y= -3.5[/tex]
Midpoint M of the line segment is (3,-3.5)
evaluate ∛27 and explain your answer. Please do not answer just for points
Answer:
3
Step-by-step explanation:
(27) ^1/3
We want to know what number times itself 3 times is equal to 27
3*3*3 = 27
(3^3)^1/3
3
Answer:
[tex]\Huge \boxed{3}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{27}[/tex]
27 is a perfect cube.
A number when multiplied by itself 3 times gives 27.
[tex]\sqrt[3]{3 \times 3 \times 3}[/tex]
[tex]\sqrt[3]{3^3 }=3[/tex]
The cube root of 27 is 3.
Solve 27 and 29, will give BRAINLIST!!
Answer:
see below
Step-by-step explanation:
27.
We can use ratios to solve
152 dollars 532 dollars
---------------- = ----------------
4 days x days
Using cross products
152x = 4*532
152x =2128
Divide each side by 152
152x/152 = 2128/152
x =14
14 days
29.
1 inch 2/3 inches
------------ = ----------------
6.5 ft x ft
Using cross products
1x = 2/3 * 6.5
x = 4.333333
c = 4 1/3 ft
Answer:
[tex]\Large \boxed{\mathrm{27. \ 14 \ days}} \\ \\ \Large \boxed{\mathrm{29. \ 4 \frac{1}{6} \ feet}}[/tex]
Step-by-step explanation:
(27)
We can apply ratios to solve for the problem.
Let x be the missing value.
[tex]\displaystyle \frac{152}{4} =\frac{532}{x}[/tex]
Cross multiply.
152 × x = 532 × 4
152x = 2128
Divide both sides by 152.
x = 14
(29)
We can apply ratios to solve for the problem.
Let x be the missing value.
[tex]\displaystyle \frac{1}{6\frac{1}{4} } =\frac{\frac{2}{3} }{x}[/tex]
Cross multiply.
1 × x = 6 1/4 × 2/3
x = 6 1/4 × 2/3
Convert mixed fraction to improper fraction.
x = 25/4 × 2/3
x = 50/12
Simplify.
x = 25/6 or 4 1/6
What is (are) the solution(s) to the equation
2
(x−4)
2
=50
Answer:
x = 9 and x = -1
Step-by-step explanation:
This equation should be written all on one line:
2(x - 4)^2 = 50
using " ^ " to denote exponentiation.
Dividing both sides by 2 yields
(x - 4)^2 = 25
We must solve for x - 4, and then for x alone:
Taking the square root of both sides, we get:
x - 4 = ±5
which yields two separate solutions: x = 9 and x = -1
Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last month molly purchased 4 movie tickets and earned $17. How many books did molly purchase last month?
Answer:
8 books
Step-by-step explanation:
Earning for each ticket is $0.25 and for each book is $2
If total earning for 4 tickets and x books is $17, then the equation is:
0.25*4 + 2x = 171 + 2x = 172x = 16x = 16/2x = 8So Molly purchased 8 books
Which of the following is correct based on this picture? A. tan D=31/24 B. sinD=31/24 C. cosK=31/24 D. tanK=31/24
Answer:
D. tanK = 31/24
I'll explain why
Simplify.
Rewrite the expression in the form 4^n
Answer:
4^(-2)
Step-by-step explanation:
4^6 * 4^-8
Since the bases are the same, and we are multiplying, we can add the exponents
4^(6-8)
4^(-2)
Dwayne is walking on a straight sidewalk. He spots
a vertical flagpole 10 feet to his right. His friend
Ursula says that the flagpole and sidewalk can be
used to model two lines. Which term best describes
the sidewalk and the flagpole?
Answer:
Skew lines
Step-by-step explanation:
Skew lines are two straight lines in three dimensional space that are neither parallel nor do they intersect Examples of skew lines are the front sidewalk and a line that goes along one of the top edges of the house, or lines that connecting opposite edges of a regular tetrahedron
Other examples of skew lines can be found in non co-planar non parallel, parts of a bridge.
Convert 15.8 square meters (m^2 ) into square feet ( ft^2).
Answer:
Step-by-step explanation:
1 sq. meter = 10.7639 sq.feet
15.8 sq. m = 15.8 * 10.7639
= 170.06962 sq. feet
Which number is between √21 and 3π/2
Answer:
√22 = 4.6904...
Step-by-step explanation:
√21 = 4.5826...
3π/2 = 4.7124...
so a number between them has to be near the value 4.6
the answer would be √22 = 4.6904...
Rewrite 2(x + 3y - 2z) using the Destributive Property
Answer:
2x+6y-4z
Step-by-step explanation:
multiply the two by each term and coefficient inside of the parentheses
❤️ PLEASE HELP QUICK!! ILL GIVE BRAINLIST ANSWER!! ❤️
Answer:
3x² + 10x + 5
Step-by-step explanation:
Sum the sides together for perimeter (P)
Starting with the base and going clockwise
P = x² + 5x - 2 + x² + 5 + x² + 1 + 4 + 3x - 3 + 2x ← collect like terms
= 3x² + 10x + 5
On a certain map, 3 centimetres represents 25 kilometres. How many kilometres does 1 1/2 decimeters represent?
Answer:
125 kilometres does 1 1/2 decimetres represent
Step-by-step explanation:
Given
3 cm = 25 KM (Representative)
we have to find value of 1 1/2 decimetre
1 1/2 decimetre = (1*2+1)/2 decimetre = 3/2 decimetre
we know
1 decimetres = 10 cm
3/2 decimetres = 3/2 *10 cm = 15 cm
thus, we have to find 15 cm on the 3 cm = 25 KM map.
3 cm = 25 KM
1 cm = 25/3 KM
15 cm = 15*25/3 KM = 125 KM
Thus,
125 kilometres does 1 1/2 decimetres represent
Solve it: x + 9 - 7 = 15
Answer:
x = 13
Step-by-step explanation:
Rearrange: x = 15 + 7 - 9, x = 13
Answer:
X=2
Step-by-step explanation: First 9-7=2 then subtract 2 from both sides and you should be left with X=13
Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope. Math item stem image
Answer:
Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram attached.
Slope is the change in coordinate of the y coordinate to the x coordinate.
Mathematically, slope m = ∆y/∆x
From the diagram ∆y is the same as 3 (along the vertical) while ∆x is the same as 1 (along the horizontal)
m = ∆y/∆x = 3/1
∆y/∆x = 3/1
y/x = 3/1
Cross multiply
y × 1 = 3 × x
y = 3x
Hence the slope of the line is y = 3x
Answer:
you need to add the picture next time :)
Step-by-step explanation:
y/x=3/1 is the first blank
y=3x is the last one
hope that helps:)
Every morning, siblings Jack and Jill roll a regular six-sided die to determine who will get to ride in the front seat on the way to school. If the number is even, Jack gets to ride in the front. If the number is odd, Jill gets to ride in the front.
Answer:
3/6
LCM of 6 and 20= 60
3/6=1/2=10/20=10days
so estimated 10 days
Someone help asap! pls
9.48 as a mixed number in simplist form
Answer:
9 12/25.Step-by-step explanation:
9.48 as a mixed number in simplest form:
948/100
948/100= 948 ÷ 4/100 ÷ 4
948/100= 948 ÷ 4/100 ÷ 4= 237/25
948/100= 948 ÷ 4/100 ÷ 4= 237/25= 9 12/25
9 12/25 is the mixed number.
make y the subject of the formula
b=fg²/dt+gy
Answer:
Step-by-step explanation:
[tex]b=\frac{fg^{2}}{dt+gy}\\\\\\b*(dt+gy) = fg^{2}\\\\\\bdt + bgy = fg^{2}\\\\\\bgy = fg^{2} - bdt\\\\\\y =\frac{fg^{2}-bdt}{bg}[/tex]
4. Match the polynomial in the left column with its descriptive feature in the
right column
A x + 3x2 - 2x + 7
B. 3abº
C. 3x – 9x + 5x®
D. 7ab2 + 18ab-c-9a
E 2x - 9x + 8x
F. 4x - 7x? +9
G. x? -7
L. 9th degree monomial
II. Constant term of -7
III. 7 degree polynomial
IV. Leading coefficient of 4
V. Four terms
VI. 5th degree polynomial
VII. Equivalent to 5x + 3x+ - 9x
Complete question is;
Match the polynomial in the left column with its descriptive feature in the
right column
A.) x³ + 3x² - 2x + 7
B.) 3a³ b ^(6)
C.) 3x⁴ – 9x³ + 5x^(8)
D.) 7a³ b ² + 18ab² c – 9a³
E.) 2x^(5) – 9x³ + 8x^(7)
F.) 4x^(8) – 7x² + 9
G.) x² − 7
I. 9th degree monomial
II. Constant term of −7
III. 7th degree polynomial
IV. Leading coefficient of 4
V. Four terms
VI. 5th degree polynomial
VII. Equivalent to 5x^(8) + 3x⁴ – 9x³
Answer:
A) For polynomial x³ + 3x² - 2x + 7 : Option V - 4 Terms
B) For polynomial 3a³ b ^(6) : option I - 9th degree monomial
C) For the polynomial 3x⁴ – 9x³ + 5x^(8) : Option VII - Equivalent to 5x^(8) + 3x⁴ – 9x³
D) For the polynomial 7a³b² + 18ab²
c – 9a³ : Option VI - 5th degree polynomial.
E) For the polynomial 2x^(5) – 9x³ + 8x^(7) : Option III - 7th degree polynomial.
F) for the polynomial 4x^(8) – 7x² + 9 : Option IV - Leading coefficient of 4
F) For the polynomial x² − 7 : Option II - Constant term of −7
Step-by-step explanation:
A) Most appropriate matching descriptive feature for the polynomial x³ + 3x² - 2x + 7 is Option V - 4 Terms
B) Most appropriate matching descriptive feature for the polynomial 3a³ b ^(6) is option I - 9th degree monomial. This is because the sum of the powers of a and b is 9.
C) Most appropriate matching descriptive feature for the polynomial 3x⁴ – 9x³ + 5x^(8) is Option VII - Equivalent to 5x^(8) + 3x⁴ – 9x³
D) Most appropriate matching descriptive feature for the polynomial 7a³ b ² + 18ab² c – 9a³ is Option VI - 5th degree polynomial. This is because the highest sum of powers attached to a and b in a figure is 2 + 3 = 5.
E) Most appropriate matching descriptive feature for the polynomial 2x^(5) – 9x³ + 8x^(7) is Option III - 7th degree polynomial. This is because the highest power of x is 7.
F) Most appropriate matching descriptive feature for the polynomial 4x^(8) – 7x² + 9 is Option IV: Leading coefficient of 4. This is because the coefficient attached to the largest power of x is 4.
G) Most appropriate matching descriptive feature for the polynomial
x² − 7 is Option II - Constant term of −7
Determine whether the following statement is true or false. Explain your reasoning. Jordan says that when solving the equation 4b+3=11, the best first step is to apply the Division Property of Equality.
.
A. The statement is false. Since there is a coefficient on the variable, the Multiplication Property of Equality should be used first.
.
B. The statement is true. The Division Property of Equality should always be the first property of equality used when solving linear equations.
.
C. The statement is false. The Subtraction Property of Equality should be used first to remove the constant term before dividing.
.
D. The statement is true. Since there is a coefficient on the variable, the Division Property of Equality must be used first.
Answer:
The correct option is;
C. The statement is false. The Subtraction Property of Equality should be used first to remove the constant term before dividing
Step-by-step explanation:
In other to solve the equation 4·b + 3 = 11, we have;
By the subtraction property of equality, we have;
Firstly we subtract 3 from both sides gives;
4·b + 3 - 3= 11 - 3
Next we apply the division property of equality, we have;
Both sides of an equation remain equal when we divide both sides of the equation by the same, non-number,
Dividing both sides by 4, gives;
4·b/4 = 8/4
b = 8/4 = 2
The solution to the equation, 4·b + 3 = 11 is b = 2.
In a survey, 200 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The results are summarized in the table
below
Answer/Step-by-step explanation:
a. % of people who smoke = no. of people who smoke ÷ total no. of people surveyed × 100
Total no. of people who smoke is given = 4 + 36 = 40
Total people surveyed = 200
% of people who smoke = [tex] \frac{40}{200}*100 = \frac{40}{2}*1 = 20 percent [/tex]
a. % of people who do not exercise regularly = no. of people who do not exercise regularly ÷ total no. of people surveyed × 100
Total no. of people who do not exercise regularly = 36 + 134 = 170
Total people surveyed = 200
% of people who smoke = [tex] \frac{170}{200}*100 = \frac{170}{2}*1 = 85percent [/tex]
Which property of equality was used to solve this equation?
-5x=4
-5x/-5=4/-5
X=-4/5
A.addition property of equality
B.
subtraction property of equality
C. multiplication property of equality
D.
division property of equality
Answer:
D. Division property of equality.
Step-by-step explanation:
[tex] - 5x = 4 \: \: \: \frac{ - 5x}{ - 5} = \frac{4}{ - 5} \: \: \: \: x = \frac{ - 4}{5} [/tex]
We divided the terms on both sides by -5.
Hope this helps ;)❤❤❤
Mind helping me out with these? Find the mean and range of the following data. 50, 60, 48, 72, 23, 98, 100 . The marks in a subject for 12 students are as follows: 31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29. For the given data, find the (a) Mean (b) Mode (c) Median. If the mean of 26, 28, 25, x, 24 is 27, find the value of x.
Answer:
1. Mean- 64.43
Range- 77
2. Mean- 30.42
Mode- 35
Median- 20
Step-by-step explanation:
1. Mean- 50+60+48+72+23+98+100= 451
451 divide by 7= 64.43
Range- biggest no. - smallest no. 100-23=77
2. Mean- 31+37+35+38+42+23+17+18+35+25+35+29= 365 -->
365 divide by 12= 30.42
Mode- most repeated no= 35
Median- 2 middles-- 23+17=40 then divide by 2= 20.
Answer:
first:
mean=64.43
range=77
second:
mean =30.42
mode=35
median=33
x=-76
Please help! offering 15 points and a thanks with brainiest
Answer:
[tex]\huge\boxed{ 12\ people}[/tex]
Step-by-step explanation:
At least 6 hours means that the people took at least 6 hours and at most any number that is greater than 6. Here the greatest no. is 10.
So, the range for this will be 6-10
No. of People who sleep for 6-8 hours = 9
No. of People who sleep for 8-10 hours = 3
No. of People who sleep for 6-10 hours = 9+3
=> 12 people
Change this radical to an algebraic expression with fractional exponents
Answer:
X^(3÷5)
Step-by-step explanation:
radical basicly works as ÷ in the power.
Help me plz I’ve never been good with math
what is the slope of a line that passes through the points ( 3,7) and(12,7)?
Answer:
The slope is 0.
Step-by-step explanation:
To find the slope, we can do (7 - 7) / (12 - 3) = 0 / 9 = 0. This makes sense because if we look at the points, they both have the same y-coordinate, so we know that as x increases / decreases, y never changes. Because y never changes, the slope is 0.
Answer:
m=0
Step-by-step explanation:
To find slope, it is y2-y1/x2-x1
Therefore, x1=3, x2=12, y1=7 and y2=8
Plugging those variables in,
(7-7)/(12-3)=
7-7=0
12-3=9
0/9=0
Therefore, slope of the line that passes through points (3,7) and (12,7) is 0