Answer:
46.Total number in favour:
128 + 96 = 224Probability:
P(favour, A) = 128/224 = 4/747.Total number in against:
32 + 48 = 80Probability:
P(against, not B) = 32/80 = 2/5What is a ratio that is equivalent to 12:35?
Answer:
0.3429 is a decimal and 34.29/100 or 34.29% is the percentage for 12/35.
Answer:
24 : 70
Step-by-step explanation:
12 : 35
Multiply each side by 2
12*2 : 35*2
24 : 70
Please find the missing number for the surface area. I will mark brainiest if correct. 2.
It is 18 because it is a square so all the sides have to be the same so that would make it 18
What is the length of the altitude of the equilateral triangle below?
Answer:
E. 12
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : √3 : 2
The short leg is 4√3.
The long leg is √3 times the short leg.
a = 4√3 * √3 = 4 * √9 = 4 * 3 = 12
Answer: E. 12
X+y=2 và x-y=4 tim x và y
Step-by-step explanation:
X
[tex]xx - xxyy - yy = 8[/tex]
What is the smallest prime number that is also a multiple of 29?
Answer:
If you like my answer than please mark me brainliest thanks. A prime number is never multiple of any number it is always multiple of itself and 1 . But your answer is 29 itself
looking for the equation, slope, and y-intercept of: (1,-3) and (0,-1)
Answer:
Equation: y = -2x - 1
Slope: -2
Y intercept: -1
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1):
(y2 - y1) / (x2 - x1)
(-1 + 3) / (0 - 1)
2 / -1
= -2
So, the slope is -2. Plug this and a point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-1 = -2(0) + b
-1 = 0 + b
-1 = b
So, the y intercept is -1. Create the equation by plugging in the slope and b into y = mx + b:
y = mx + b
y = -2x - 1
The equation of the line is y = -2x - 1.
Answer: y=-2x-1. Slope is -2 and y int. is -1.
Step-by-step explanation:
First, you need to find the slope by using the slope formula y2-y1/x2-x1. Plug in the x and y coordinates, which simplifies as -1-(-3)/0-1, and furthermore to 2/-1, or -2. The y intercept can be found by the second point, (0,-1). Therefore, the y int. is -1.
WILL GIVE BRAINLIEST AND 20 POINTS! PLEASE SHOW WORK!
How many different 8-digit phone numbers do not contain the digit 2? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.
The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers
Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.
Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.
So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.
So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.
Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.
Learn more about multiplication principle of counting here:
https://brainly.com/question/1091225
20. Which ordered pair is a solution to
y = 7x - 3?
A. (-2, -17) C. (2,7)
B. (-2, 11) D. (2, 14)
Answer:
A.
Step-by-step explanation:
Here's how to determine if a ordered pair is a solution to an inequality
Step 1. Take the ordered pair and substitute their x and y values to the inequality
Inequality: [tex]y=7x-3[/tex]
Ordered pair: [tex](-2,-17)[/tex]
Answer: [tex]y=7x-3[/tex]
[tex]-17=7(-2)-3[/tex]
Step 2. Solve
[tex]-17=7(-2)-3[/tex]
[tex]-17=-14-3[/tex]
[tex]-17=-17[/tex]
Therefore, [tex](-2,-17)[/tex] is a solution to the inequality
Can someone help me on this
Answer:
d
Step-by-step explanation:
Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?
Answer:
x = 12 m = 87
Step-by-step explanation:
x = Dave
(7x + 3) + x = 99
8x + 3 = 99
-3 -3
8x = 96
---- ----
8 8
x = 12
7(12) + 3
84 + 3
87
Dave has 12 dollars, Martha has 87.
Amira is twice as old as her cousin Pam. Nine years ago, their combined age was 18. What are their present ages?
Answer:
Amira is currently 24 years old and Pam is currently 12 years old
Step-by-step explanation:
Let Amira's age be [tex]a[/tex] and Pam's age be [tex]p[/tex]. Currently, Amira is twice as old as Pam. Therefore, we can write the equation [tex]a=2p[/tex].
We can write a second equation using the other information given in the question. Nine years ago, Amira and Pam's combined ages was 18. If Amira and Pam are currently [tex]a[/tex] and [tex]p[/tex] years old, respectively, then their respective ages 9 years ago would ben [tex]a-9[/tex] and [tex]p-9[/tex]. Since these add up to 18, we have the equation [tex](a-9)+(p-9)=18[/tex].
Therefore, we have a system of equations:
[tex]\begin{cases}a=2p,\\a-9+p-9=18\end{cases}[/tex]
Substitute the first equation into the second one:
[tex]2p-9+p-9=18[/tex]
Combine like terms:
[tex]3p-18=18[/tex]
Add 18 to both sides:
[tex]3p=36[/tex]
Divide both sides by 3:
[tex]p=\frac{36}{3}=\boxed{12}[/tex]
Now substitute this into any of the equations (I'll choose the first):
[tex]a=2p,\\a=2(12),\\a=\boxed{24}[/tex]
Therefore, Amira is currently 24 years old and Pam is currently 12 years old.
find the measure of the indicated angle to the nearest degree
Answer:
71°
Step-by-step explanation:
12/36 = 1/3
inverse cos(1/3) = 70.53 = 71
what is the volume of the cylinder
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
The definition of a circle
Answer:
a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
Explanation:
Oxford dictionary definition
Step-by-step explanation:
a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center
In the first quadrant, you start at 2, 6 and move 2units rights and 3 units down what point will you end up on?
Answer:
[tex]End = (4, 9)[/tex]
Step-by-step explanation:
Given
[tex]Start = (2,6)[/tex]
Transformation: 2 units right and 3 units down
Required
The new point
First, we take the right translation;
When a point is translated right by 2 units, the rule is:
[tex](x,y) \to (x + 2, y)[/tex]
So, we have:
[tex](2,6) \to (2 + 2, 6)[/tex]
[tex](2,6) \to (4, 6)[/tex]
Next, we take the down translation;
When a point is translated down by 3 units, the rule is:
[tex](x,y) \to (x, y + 3)[/tex]
So, we have:
[tex](4,6) \to (4, 6+3)[/tex]
[tex](4,6) \to (4, 9)[/tex]
Hence, the endpoint is:
[tex]End = (4, 9)[/tex]
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax – 2 = 12.5
Answer:
x = 14.5/a
Step-by-step explanation:
ax – 2 = 12.5
Add 2 to each side
ax – 2+2 = 12.5+2
ax = 14.5
Divide by a
ax/a = 14.5/a
x = 14.5/a
Write a verbal expression for (c-2)d
Answer:
the sum of c minus 2 multiplied by d ------> (c-2)d
f (x) = -x^2 + x + 14 Find f(2)
f(x) = -x² + x + 14
f(2) = -2² + 2 + 14 = -4 + 16 = 12
f(2) = 12
Answer:
12
Step-by-step explanation:
f (x) = -x^2 + x + 14
Let x= 2
f(2) = - (2)^2 +2+14
= -4 +2+14
= -2 +14
= 12
Jessica is traveling at a speed of 60 miles per hour in her truck. After 4 hours, how far will she have traveled?
Answer:
240 miles
Step-by-step explanation:
60*4=240
Answer: 240
Step-by-step explanation: If she is traveling 60 miles per hour you can multiply it by 4, which is 240.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?
A. A data set will always have exactly one mode
B. A data set can have multiple modes
C. A data set will always have at least one mode
D. A data set will never have a mode
Answer:
B
Step-by-step explanation:
Let's go over each option with the process of elimination!
A. A data set will always have exactly one mode.
Contradiction: 2, 2, 3, 3, 4, 5, 6
in this data set, both 2 and 3 are modes, so it is incorrect.
B. A data set can have multiple means.
True, example as A.
C. A data set will have at least one mode.
Contradiction: 2, 3, 4, 5, 6
There are no modes in here.
D. A data set will never have a mode.
Contradiction: 2, 2, 3, 4, 5
The mode is 2.
The only true statement is answer B.
I hope this helped! :D
Answer:
b
Step-by-step explanation:
if a data set had 1,1,3,4,4 how would you have 2 modes, 1,4. If you had 1,1,2,2,3,3 you would have 1,2,3 as your modes
a is wrong, c is wrong, d is wrong
a:my example has more that one
c:i have no explanation
d:is well already wrong
What are the factors of the expression below -2x^2+5-3
A -1(2x-3)(x-1)
B -1(2x+3)(x-1)
C -1(2x+3)(x+1)
D -1(2x-3)(x+1)
Answer:
A
Step-by-step explanation:
Given
- 2x² + 5x - 3 ← factor out - 1 from each term
= - 1(2x² - 5x + 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) ← factor out (x - 1) from each term
(2x - 3)(x - 1)
Then
- 2x² + 5x - 3 = - 1(2x - 3)(x - 1) → A
Could someone please help me with this
Answer:
what are the questions
Step-by-step explanation:
Pls what is the formula for finding the base and the height of a triangular pyramid.
Answer:
Take the Cubits and multiply
Step-by-step explanation:
This is a problem i had so just fill it in to your numbers etc.
A= 43.3 cubits squared
SA= the base of A +1/2 (p x slant h)
SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)
To sum it up u can message me ur numbers and ill help
Jun made a round tablecloth for his kitchen table. The tablecloth is 4.5 feet in diameter. Approximately how much fabric did Jun use for the tablecloth?
Answer:
the correct answer is 16ft^2
arc length of an oval that is 6ft by 5ft. i just want 1/4 of the oval. i want to find out how long i would need a wire to go from the ground to the middle of the "dome".
the picture explains it better.
in the end i want to have a wire frame around the garden and than take some netting and use that to keep out the big bugs and birds. i will of course use zip ties to attach the screen/netting to the frame. unless there is a easier and cheaper way to do this.
You can model the ellipse with the equation
(x/6)² + (y/5)² = 1
If you're comfortable with calculus, read on.
Let x = 6 cos(t ) and y = 5 sin(t ), with 0 ≤ t ≤ π/2. Then the curve C parameterized by (x(t), y(t)) traces out one quarter of the ellipse. The arc length of this curve is given by the integral,
[tex]\displaystyle\int_C\mathrm ds = \int_0^{\pi/2}\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{36\sin^2(t)+25\cos^2(t)}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{25+11\sin^2(t)}\,\mathrm dt \\\\ = 5\int_0^{\pi/2}\sqrt{1+\frac{11}{25}\sin^2(t)}\,\mathrm dt[/tex]
Unfortunately, you cannot find the exact value of this integral. (Well, you can, but it involves introducing a special kind of function; I'll link it in a comment.)
But you can approximate it, and the integral above comes out to about 8.657.
I'm not sure if there's a simpler, purely geometric way to estimate the arc length. But since the semiaxes (5 ft and 6 ft) are fairly close, you could try a circle with a radius somewhere in between. The arc length would range between 7.854 ft and 9.425 ft. If the material isn't too expensive, you can always overshoot and trim off the excess or repurpose it.
7.2b + 6.5 > 4.8b – 8.1
Answer:
[tex]7.2b+6.5>4.8b-8.1[/tex]
Multiply both sides by 10
[tex]72b+65>48b-81[/tex]
Subtract both sides by 65
[tex]72b>48b-146[/tex]
Subtract both sides by 48b
[tex]24b>-146[/tex]
Divide both sides by 24
[tex]b>-\frac{73}{12}[/tex]
OAmalOHopeO
The test statistic of z=2.93 is obtained when testing the claim that p≠0.523. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
Answer:
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.5289 , 0.6097 )
Reference=0.523 Reject H0
Name the property: i) (-15) X (-56)
ii) (-72) X 26 = 26 X (-72)
iii) [8 X (-46)] X 32 = 8 X [(-46)] X 32]
iv) (-15) X 105 = [(-15) X (100 +5)] = [(-15) X100] + [(-15) X 5]
Answer:
Open in answr appOpen_in_app
(i)
15
7
=
30
x
⇒x=
15
7×30
=14
(ii)
3
x
=
18
12
⇒x=
18
12×3
=2
(iii)
x
30
=
24
45
⇒x=
45
30×24
=16
(iv)
16
8
=
x
25
⇒x=
8
25×16
=50
Step-by-step explanation:
yeah
Suppose there are approximately 220 calories in 3 servings of a particular brand of cereal and 362 calories in 5 servings of the same cereal. Find the rate of change.
Answer:
.93 calories per serving
Step-by-step explanation:
220 ÷ 3 = 73.3333333 calories per serving
3 ÷ 220 = 0.0136363636
362 ÷ 5 = 72.4
5 ÷ 362 = 0.0138121547
73.3333333 - 72.4 = 0.9333333 = around .93
