Given:
A bowl contains 25 chips numbered 1 to 25.
A chip is drawn randomly from the bowl.
To find:
The probability that it is
a. 9 or 10?
b. even or divisible by 3?
c. divisible by 5 and divisible by 10?
Solution:
a. We have,
Number of total chips = 25
Favorable out comes are either 9 or 10. So,
Number of favorable outcomes = 2
The probability that the selected chip is either 9 or 10 is:
[tex]\text{Probability}=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{2}{25}[/tex]
Therefore, the probability that the selected chip is either 9 or 10 is [tex]\dfrac{2}{25}[/tex].
b. The numbers that are even from 1 to 25 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.
The numbers from 1 to 25 that are divisible by 3 are 3, 6, 9, 12, 15, 18, 21, 24.
The numbers that are either even or divisible by 3 are 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24.
Number of favorable outcomes = 16
The probability that the selected chip is either even or divisible by 3 is:
[tex]\text{Probability}=\dfrac{16}{25}[/tex]
Therefore, the probability that the selected chip is either even or divisible by 3 is [tex]\dfrac{16}{25}[/tex].
c. The numbers from 1 to 25 that are divisible by 5 are 5, 10, 15, 20, 25.
The numbers from 1 to 25 that are divisible by 10 are 10, 20.
The numbers that are divisible by both 5 and 10 are 10 and 20.
Number of favorable outcomes = 2
The probability that the selected chip is divisible by 5 and divisible by 10 is:
[tex]\text{Probability}=\dfrac{2}{25}[/tex]
Therefore, the probability that the selected chip is divisible by 5 and divisible by 10 is [tex]\dfrac{2}{25}[/tex].
how must m2 be changed to keep the lines parallel?
Answer:
bring the lines side by side ( example || )
Step-by-step explanation:
HELP ASAP PLEASEE
I WILL MARK BRAINLIST
Carly is buying deli meat for her lunches this week. Turkey is on sale for $5.80 per pound. If Carly buys 1.25 pounds of turkey, how much money does she spend?
Answer:
Carly will have to spend $7.25
Step-by-step explanation:
We know that:
1 pound of turkey = $5.80
To find how much 1.25 pounds of turkey will cost, multiply:
5.80 x 1.25 = 7.25
Therefore, 1.25 pounds of turkey will cost $7.25
I really hope this helps!
-SpaceMarsh
Arrange these numbers in order of size starting with the smallest: 0.7, 0.1015, 0.715, 0.11
Answer:
0.1015, 0.11, 0.7, 0.715
Complete the Law Of Sines Select the value that belongs to the green box, please somebody!
Answer: [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex]
The sin(A) goes with 'a'
sin(B) goes with b
sin(C) goes with c
Each angle goes with the corresponding side to form the three fractions shown. You can break up that triple equation into smaller equations such as [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)}[/tex] and [tex]\frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex] and [tex]\frac{a}{\sin(A)} = \frac{c}{\sin(C)}[/tex]
Note: if you apply the reciprocal to all three sides, then you'll get an equivalent equation. I'm using the rule that A/B = C/D is the same as B/A = D/C.
The class average on a math test was an 82 with a standard deviation of 5. If the
data is normally distributed, which statements are true?
1. A student scoring a 74 would have a z -score of -1.6.
2. About 68% of the students scored below an 87.
3. A z-score of 2.6 would be a test
score of 95.
4. About 16% of the class scored a 77 or below.
45. About 25% of the class scored above a 92.
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]
Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6[/tex]
Option 1 is incorrect
2) For x < 87
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1[/tex]
From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6[/tex]
Option 3 is correct
4) For x < 77
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1[/tex]
From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2[/tex]
From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect
sometimes we can determine the number of solutions that a system of equations has by simply observing and drawing conclusions from the equations. this is called
Answer:
observations and quadratic formula
Circle D is inscribed in AABC as shown.
Point E marks the intersection of the two
shapes. Which of the following statements are
true?
Statement I: DE is the radius of the
inscribed circle.
Statement II: DE is perpendicular to AC.
Statement III: Point D is equidistant from
vertices A, B, and C.
Answer:
statement 1 and 2 are true
Please help!!! Answer ASAP and please show work
Edited:
(-1,3)
read the text wrong. but the method below holds :D
Step-by-step explanation:
The intersection of the AC line with the BD line is at (1,3)
method: hold an old receipt on my phone screen. would describe it as a graphically approach to the solution
on paper a ruler would be enough to draw the two mentioned lines.
do you need an algebraic way to do it?
If i get 3486.25 points out of 4175 total amount of points, what would be my grade
Answer:
83.5%
Step-by-step explanation:
Answer:
B, 83.5%
Step-by-step explanation:
I got you dude, I math this out all the time. You divide how many points you have by how many points total to get the answer. You’ll need 3758 to get a A- (total points x 0.9)
What is the solution of the equation 0.2x = 10?
Select one:
x=2
Ο α = 100
2= 20
x = 50
Answer:
x = 50
Step-by-step explanation:
0.2x = 10
Divide each side by .2
0.2x/.2 = 10/.2
x =50
Answer:
Step-by-step explanation:
x=50
0.2 x 50 = 10
8.
Find the slope of the in line containing the ordered pairs. (7 marks)
a. A(2,-5), B(-2,6)
Answer:
= -11/4
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= (6 - -5)/(-2 -2)
= (6+5)/(-2-2)
= 11/-4
= -11/4
Answer:
-2.75 (-2 3/4)
Step-by-step explanation:
you can do rise of a run whenever you have two points so you have 6-(-5)/-2-2 and solve so -11/4 and that equals -2.75.
Help me as quick as possible
11x+4y=12
9x-4y=8
Solve it with elimination method
Answer:
x = 1, y = 1/4
Step-by-step explanation:
[tex]11x + 4 y = 12 \ \ \ ---( 1)\\9x -4y = 8 \ \ \ - - - (2)\\\\(1) + ( 2 ) => 20x + 0 = 20\\\\[/tex]
[tex]=> x = 1[/tex]
Substitute x = 1 in ( 1 ) :
[tex]11 + 4y = 12\\4y = 12 - 11\\\\y =\frac{1}{4}[/tex]
Frank kept track of the amount of money he earned each day for 2 weeks.the amounts,in dollars,are listed below.
25,30,24,20,20,22.5,75,27,27,22,22,27,22.5,28
Find and calculate the measures of center and variability that best summarize frank's data.explain
Answer:
Step-by-step explanation:
PLZ HELP, IT WOULD MEAN THE WORLD
A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If
he paid 8% sales tax on the sale price, how much did he pay in total?
Answer:
$281.88
Step-by-step explanation:
Solve for 50% of $522:
522 × 0.50
261
Solve for sales tax:
261 × 0.08
20.88
Solve for total:
261 + 20.88
281.88
Hey can u help me with this question
Answer:
y = 3x - 1
Step-by-step explanation:
→ Substitute x = 1 into all the equations to get y = 2
y = 3x - 1 ⇔ ( 3 × 1 ) - 1 = 2
Answer:
D
Step-by-step explanation:
You can answer this question without even worrying about slope if you know how the y-intercept should be. The y-intercept is where the line crosses the y-axis(the vertical line with the y label in case that needs to be explained.) With that alone, you can determine that the y-intercept is -1 and thus the answer is D. For the slope, try to find a point on the line that is on the grid (A good one is (0,-1) ). Then move from that point to the next point where two of the lines meet like (1,2). Slope is rise/run so you go 3 up and 1 to the right for 3/1 which equals 3.
Which triangles are congruent by ASA?
A). ABE= DEA
B) ADC=EBC
C) ADC=EDA
D) ABE=CDA
Please help?!!!
Answer:
c
Step-by-step explanation:
Two circles have a scale factor of 3:2. What is the ratio of the circumferences of these circles?
A. 12:26
B. 13:12
C. 9:4
D. 3:2
Answer:
3:2
Step-by-step explanation:
The circumference is a distance. The ratio of the distance is the same as the scale factor. The ratio of the areas is the ratio of the scale factor squared and the volume is the scale factor cubed.
NEED HELP! Will give brainliest!!! Answer number 18 and 19
18. 3 (-5 + 1) = 6 x -3 = -18 false its -14
19. 1/2 x 2 + 1/4 x 12 = 8 false its 4
may I please have help from anyone thank you so much !
Answer:
1. SA
2. VO
3. SA
4. VO
5. SA
6. VO
SA=Surface Area
VO=Volume
Explain what the graph of a polynomial that has a degree of 4, zeros of -1, 7, 10,
and a leading coefficient that is negative would look like.
Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
Pls help :(
(It’s math)
Solve the system of equations
Answer:
(3,5)
Step-by-step explanation:
For this equation, you need to solve it like simultaneous equations. Both of these have a 4y, so that is relatively easy to do, once you know how to.
The signs in front of the 4y are different, so you add the 2 equations (to remove the ys all together).
This should be (2x+-8x)+(-4y+4y)=(-14+-4), or (2x-8x)+(4y-4y)=(-14-4).
This can be expanded to -6x+0=-18, or -6x=-18.
Dividing both sides by -6 leaves you with x=3.
To find y, substitute this x value into either equation (I picked equation 1 as it is simpler). This gives you 2(3)-4y=-14, expanded to 6-4y=-14.
From there, you subtract the 6 from both sides, to get the y alone (giving -4y=-20).
By dividing both sides by -4, you get y=5.
This means the answer is (3,5).
**This question involves simultaneous equations, so you might want to look at that. I'm always happy to help!
Please help, giving Brainliest and 50 points!
Answer:
5^8
Step-by-step explanation:
Hey,
Know out exponent division propety knowledge. We can solve.
5^12/5^4 = 5^12-4=5^8
Hope this helped,
Joe Louis2
Answer:
5^8
Step-by-step explanation:
We know that a^b ÷ a^ c = a^ ( b-c)
5^12 ÷ 5^4 = 5^ (12-4) = 5^8
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer: X
Step-by-step explanation: The Square root of 68 is 8.246, meaning the closest point to that number is X.
find the area of a circle if x=12 and y=3
Answer:
12.3693169
Step-by-step explanation:
x^2+y^2=r^2
(12)^2=(3)^2=sqroot(153)
=12.3693169
Select 3 side lengths that can form a right triangle.
Answer:
(16,63,65)
Step-by-step explanation:
Well, by trial and error, it turns out that 16²+63² = 65²
So the pythagorean triplet is (16,63,65)
I will give BRAINLIEST to the correct answer
Find the measure of
Answer:
8p+102+4p+60 =90
12p+162-162 =90-162
12p. =-72
p =(-6)
CHT=8p+102
={8×(-6) }+102
=(-48)+102
=54
Find the length of AB. 6 30 AB=[?]in
Answer:
AB ≈ 3.14 in
Step-by-step explanation:
arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{30}{360}[/tex]
= 2π × 6 × [tex]\frac{1}{12}[/tex]
= 12π × [tex]\frac{1}{12}[/tex]
= π ≈ 3.14 in ( to the nearest hundredth )
I need help what’s the answers
Answer:
Quadratic
Step-by-step explanation:
The format for a quadratic function is: y= ax^2+bx+c.
This matches your equation.
HURRYYYY. which linear inequality is represented by the graph?
Answer:
C
Step-by-step explanation:
i did this in 6th grade too man i gotchu
