Answer:
ABC & E are true statements about the graph
In a parking lot,there are 16 silver cars, 8 blue cars ,and 10 red cars . A car leaves the parking lot. What is the probability that it is
a: a silver car?
b: a blue car?
c: a red car?
d: suppose that the first car that leaves is a silver car . What is the probability that the second car that leaves is not a silver car?
Answer:
a) 8/17
b) 4/17
c) 5/17
d) 48/187
Step-by-step explanation:
a) P(silver) = 16/34 = 8/17
b) P(blue) = 4/17
c) P(red) = 5/17
d) P(silver, not silver) = 8/17 × 18/33 = 144/561 = 48/187
The probability for each event are -
[A] - 8/34
[B] - 16/34
[C] - 10/34
[D] - 18/33
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
We have 16 silver cars, 8 blue cars and 10 red cars in a parking lot.
[A] -
P{silver} = 8/(16 + 8 + 10) = 8/34
[B] -
P{blue} = 16/(16 + 8 + 10) = 16/34
{C} -
P{red} = 10/(16 + 8 + 10) = 10/34
D) -
P{not silver} = 1 - 15/33 = 18/33
Therefore, the probability for each event are -
[A] - 8/34
[B] - 16/34
[C] - 10/34
[D] - 18/33
To solve more questions on Probability, visit the link below -
brainly.com/question/24028840
#SPJ2
What is the equation of the line that passes through the point (8,3) and has a slope of -1/2
Answer:
y=-1/2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-1/2(x-8)
y=-1/2x+8/2+3
y=-1/2x+4+3
y=-1/2x+7
A line with a slope of 3 passes through the point (0, -10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]
The sum of 21 and n is equal to 43.23
please help me!!!
I’ll give out 30 points!!!
Answer:
n=22.23
Step-by-step explanation:
21+n=43.23
-21 to both sides
0+n=22.23
n=22.23
Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.
Answer:
b=14
Step-by-step explanation:
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
5b=b+56
4b=56
b=14
In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:
[tex]b=14[/tex]
What is a parallel line?They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.
With this information we can solve this exercise as:
[tex]5b=b+56\\4b=56\\b=14[/tex]
See more about parallel lines at brainly.com/question/16701300
(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: 1 m
(b) The area of a rectangular painting is 8712 cm?
If the width of the painting is 88 cm, what is its length?
Length of the painting: 1 cm
Answer:
(a) 63 (b) 99
Step-by-step explanation:
(a)
length x 2 = 150
275-150=126/2= 63
(b)
8712/88= 99
108 is what percent of 72
108/72 x 100% = 150%
Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%.
How much will she have in the account after 3 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$1,251
Step-by-step explanation:
Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Plug the values into the formula; solve:
[tex]r = \frac{r}{100}[/tex]
[tex]r = \frac{1.4}{100}[/tex]
[tex]r = 0.014[/tex]
0.014 rate per year
[tex]A = Pe^{rt}[/tex]
[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]
[tex]A = $1,251.47\\[/tex]
1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.
Answer:
1251
Step-by-step explanation:
What fraction of one hour (60 minutes) is represented by the following numbers of minutes? Simplify each fraction whenever possible. A sketch of a clock might help you
15 minutes =
20 minutes =
Answer:
[tex] \frac{1}{4} [/tex]
[tex] \frac{1}{3} [/tex]
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer: 50/19
Step-by-step explanation:
I'm no math genius however I believe this is division.
500/190 gave me a fraction which is 50/19.
(02.06)If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches? 25 inches 72 inches 75 inches 84 inches
Answer:
C
Step-by-step explanation:
1 foot = 12 inches Find 1/4 foot in inches
1/4 a foot = 1/4 * 12 = 3 inches
6 1/4 feet = (6 + 1/4) * 12
=72 + 3
75 inches
If I get payed $1.00 an hour, how much would I make for 10 minutes of work
Answer:
$0.10
Step-by-step explanation:
Which situation can be represented by the expression 5.3d?
1. the total cost of an item that is d dollars more than $5.30
2.the total cost of d items that cost $5.30 each
3.the amount of change when $5.30 is used to pay for an item costing d dollars
4.the amount of change when $5.30 is used to pay for an item costing d dollars
Answer:
tang inamo ok please tell me
What else must you know to prove the triangles congruent by ASA? The image is of a parallelogram ABCD with diagonal AC. Angle DAC and ACB are marked as equal.
Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
- STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
250 +266 = 516, the Math Club 266 - 250 = 16, the Math Club
needed to remove 516 pounds from needed to remove 16 pounds
the racer
from the racer
O A. Dana
B. Hector
Express the following exponential functions in logarithmic form.
1. 10^8 = 100, 000, 000
2. 10^-4 = 0.0001
Answer:
see explanation
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
(1)
[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )
[tex]log_{10}[/tex] (100,000,000) = 8
(2)
[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )
[tex]log_{10}[/tex] (0.0001) = - 4
The area of a circle is equal to 1 dm2. Find the radius of the circle.
Answer:
2000
Step-by-step explanation:
1 dm =1000
2dm =?
2dm x 1000
1dm
2000
What is the solution to the equation −6z+1=−4−7z , given the replacement set {−5, −3, −1} ?
−5
−3
−1
I don't know.
the solution to the system of equation from the replacement set is -5
Given the equation −6z+1=−4−7z, we are to find the value of z from the given equation:
Given
−6z+1=−4−7z
Collect the like terms;
-6z + 7z = -4 - 1
Simplify the result
z = -4 -1
z= -5
Hence the solution to the system of the equation from the replacement set is -5
Learn more on equation here: https://brainly.com/question/2972832
Answer:
-5
Step-by-step explanation:
I took the quiz in k12
The triangles shown bellow must be congruent?
True or False?
Identify the variation as direct, inverse, joint or combined.
V =nr2h
O direct
O inverse
O joint
combined
Answer:
Sorry po just seen your email and I
Answer:
Sorry po just seen your email and I
-4x+2y=0
10x+3y=8
HELPPPPPPP
Answer:
x=1/2 y =1
Step-by-step explanation:
(-4x+2y)/2x5=0/2x5
10x+3y=8
(-2x+y)x5=0
10x+3y=8
-10x+5y=0
10x+3y=8
8y=8
y=1
x=1/2
G is generic mean explain?
Answer:
1. of, applicable to, or referring to all the members of a genus, class, group, or kind; general
Step-by-step explanation:
Is (2,1) a solution to this system of equations??
8x+7y=11
x+y=3
a) Yes
b) No
Answer:
No
Step-by-step explanation:
In the ordered pair (2,1), 2 is the x-value and 1 is the y-value.
In the first equation, replace x with 2 and y with 1.
8x+7y
= 11
8(2)+7(1)
≟ 11
16+7
≟ 11
23
≟ 11
No, 23≠11.
Plugging (2,1) into the first equation did not result in a true statement. So, (2,1) is not a solution to the system of equations.
Find the equation of a line which contains the point (2, 5) and is parallel to the line y = 3x + 5.
Answer:
The equation of a line which contains the point (2, 5) and is parallel to the line y = 3x + 5 is
y = 3x - 1
A line is parallel to another when they both have the same slope.
The two equations above have a common slope of 3.
I hope this helped. Have a good new year!
What is
( x + 1 ) ^2
[tex](x+1)^2 = x^2 +2x + 1[/tex]
The triangle and rectangle have the same perimeter.find the value of x.
Answer:
X=2
Step-by-step explanation:
Triangle
3x+18
Rectangle
6x+12
Same perimeter:
3x+18=6x+12 //-12
3x+6=6x //-3x
6=3x //:3
2=x
Answer:
x = 2
Step-by-step explanation:
Perimeter of triangle = a + b + c
Perimeter of rectangle = 2(l + b)
=> x + 5 + x + 6 + x + 7 = 2(2x - 1 + x + 7)
=> 3x + 18 = 2(3x + 6)
=> 3x + 18 = 6x + 12
=> 3x - 6x = 12 - 18
=> -3x = -6
=> x = -6/-3
=> x = 2
A booklet containing ten movie tickets costs $55.00. What is the unit rate?
Can someone please help me
Answer:
Option 2: y = a(x + 1)² - 9
Step-by-step explanation:
Given the graph of an upward-facing parabola, whose vertex occurs at point (-1, -9) as its minimum point.
Vertex FormUsing the vertex form of the quadratic equation, y = a(x - h)² + k:
where:
a = determines the wideness and the direction of where the graph opens.
(h, k) = vertex
h = determines the horizontal translation of the graph
k = determines the vertical translation of the graph
Using the vertex, (-1, -9), and another point from the graph, (2, 0), substitute these values into the vertex form to solve for the value of a:
y = a(x - h)² + k0 = a[2 - (-1)]² - 9
0 = a(2 + 1)² - 9
0 = a(9) - 9
Add 9 to both sides to isolate a:
0 + 9 = 9a - 9 + 9
9 = 9a
Divide both sides by 9 to isolate a:
[tex]\displaystyle\mathsf{\frac{9}{9}\:=\:\frac{9a}{9}}[/tex]
a = 1
Final answer:Therefore, the vertex form of the given parabola is: y = a(x + 1)² - 9.
guys help plzz i need your help
Answer:
it correct because i took this before
A total of 4.80 consisting of dimes and quarters was collected from a soft drink vending machine. If there is one more quarter than there are dimes find the number of dimes and the number of quarters.