The table below shows the number of marbles of different colors in a bag:
Marble Experiment
Color of
Marbles Number of
Marbles
Red
5
White
8
Black
2
Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials?
5 over 15 multiplied by 4 over 14
5 over 15 multiplied by 4 over 15
5 over 15 added to 4 over 14
5 over 15 added to 4 over 15
Answer:
[tex]\huge\boxed{\sf \frac{5}{15} + \frac{4}{14} }[/tex]
Step-by-step explanation:
Formula for probability: [tex]\boxed{\displaystyle Probability = \frac{number\ of\ possible\ outcomes}{total\ number\ of \ outcomes} }[/tex]Solution:Total number of marbles = 5 + 8 + 2 = 15
Number of red marbles = 5
Probability to draw a red marble at the first trial = 5/15
Number of marbles left = 15 - 1 = 14
Number of Red marbles left = 5 - 1 = 4
Probability to draw a red marble at the second trial = 4/14
Total probability:[tex]\displaystyle =Probability \ of \ drawing \ a \ red \ marble \ at \ the \ (second \ attempt +first \ attempt)\\\\= \frac{5}{15} + \frac{4}{14} \\\\\rule[225]{225}{2}[/tex]
Are a 10-degree angle and a 65-degree angle complementary
angles?
Are a 40-degree angle and a 50-degree angle
complementary angles?
Are a 140-degree angle and a 40-degree angle
supplementary angles?
Are a 120-degree angle and a 60-degree angle
complementary angles?
Answer:
Complementary angles means sum of angles must to 90 degrees.
Supplementary angles means sum of angles must be 180 degrees.
1.
10 degree + 65 degree = 75 degree
10 degree + 65 degree ≠ 90 degree
So, 10-degree angle and a 65-degree angle are
not complementary angles.
2.
40 degree + 50 degree = 90 degree
So, 40-degree angle and a 50-degree angle are
complementary angles.
3.
140 degree + 40 degree = 180 degree
So, 140-degree angle and a 40-degree angle are
supplementary angles.
4.
120 degree + 60 degree = 180 degree
120 degree + 60 degree ≠ 90 degree
So,120-degree angle and a 60-degree angle are
not complementary angles
(x - 9)2 + (y - 4)2 = 400
Center:
Radius:
Answer:
Center: (9, 4)
Radius: 20
Explanation:
(x - 9)² + (y - 4)² = 400
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) is center points, r is radius
Rewrite the equation:
(x - 9)² + (y - 4)² = 20²
Identify following:
h = 9, k = 4, radius = 20
Which number is a solution of the inequality x <-4? Use the number line to help answer the question. Number line starts like and ends like “ -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1. “
help me wiht ixl pls
Answer:
it's either 42 If you add all the sides, or 1769472 if you multiple
1/2 x 1350 x 144 = 97200 J where did they get the 144 from?
Speed^2 or velocity^2 because 12x12=144
It's looks like the Kinetic energy equation:
KE = 1/2mv^2
Hope this helps!
Someone please help me on this question and no links they don’t work!!
Answer:
78
Step-by-step explanation:
hint
please help will mark Brainliest!!
[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]
The most popular roller
coaster has room for 12
riders. They are colored
as below. Answer the
questions based on the
coaster train.
What’s the probability that a rider won’t ride in a red seat?
4/12 chance of dying
PLEASE HELP ME
Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answer:
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
Step-by-step explanation:
Finding the solution of these 2 equations
y = -2x + 14y = 2x + 2Equating them :
-2x + 14 = 2x + 22x + 2x = 14 - 24x = 12x = 3Substitute in a equation to find y :
y = 2(3) + 2y = 6 + 2y = 8The solution is (3, 8).
The 1st explanation is the correct one.
3. If 3, x, y, 18, are in arithmetic progression, (A, P) find the value of x and y
b) the sum of the second and third terms of a geometric progression is six times the fourth term, find the two possible values of common ratio
i) If the seconds term is 8 and the common ration is positive, find the first six terms. 10mrks
Answer:
Below in bold
Step-by-step explanation:
The sequence is:
3, x, y, 18
If this is an A P then
x - 3 = y - x
2x - y = 3 (A) and
y - x = 18 - y
2y - x = 18 (B)
Multiply (A) by 2:
4x - 2y = 6 (C)
Adding B and C:
3x = 24
x = 8.
and
2y - 8 = 18
2y = 26
y = 13.
So x = 8 and y = 13.
b) ar + ar^2 = 6ar^3 where a = first term and r = common ratio
Divide by a:
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
r(3r + 1)(2r - 1) = 0
So the 2 possible values of r
= -1/3 and 1/2.
i) The common ratio is positive so it must be 1/2.
Second term ar = 8
1/2 a = 8
a = 16.
So the first 6 terms are:
16, 8, 4, 2, 1, 1/2.
a farmer is able to harvest 300 kg of potatoes in 5 hrs.how many kilos will 3 farmers harvest in 10hrs?
Answer:
1800 kgStep-by-step explanation:
1 farmer is able to harvest 300 kg of potatoes in 5 hrs
Then
1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs
therefore,
3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs
Question
Type of cookie
Cost per cookie,
in dollars
Chocolate chip
$0.73
Double chocolate
$0.82
Oatmeal raisin
$0.70
Sugar
X
Butter pecan
$0.86
The table above shows a bakery's cost per cookie for each of the five types of cookies the bakery sells. If
the mean cost per cookie is $0.73, what is the cost per cookie, in dollars, for a sugar cookie?
O $0.54
O $0.67
O $0.79
O $0.84
The cost per cookie, in dollars, for a sugar cookie is A; $0.54.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
WE know that Chocolate chip = $0.73
Double chocolate = $0.82
Oatmeal raisin = $0.70
Sugar = X
Butter pecan = $0.86
We need to find the cost per cookie, in dollars, for a sugar cookie.
So, Mean = $0.73
Mean = 0.73 + 0.82 + 0.70+ X + 0.86 / 5
0.73 (5) =0.73 + 0.82 + 0.70+ X + 0.86
x = 0.54
Therefore, The cost per cookie, in dollars, for a sugar cookie is A; $0.54.
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The drug Viagra comes in a quantity of 30 tablets with an AWP of $900. The pharmacy has an agreement with the supplier to purchase the drug at the AWP minus 15%. The insurer is willing to pay the AWP less 5% plus a $2.50 dispensing fee. How much profit does the pharmacy make on a prescription for 6 tablets?
The profit of 5103.5 by making a prescription for 6 tablets.
What is percentage?
Percentage, a relative value indicating hundredth parts of any quantity.
The drug Viagra comes in a quantity of 30 tablets with an AWP of $900.
The insurer is willing to pay the AWP less 5% plus a $2.50
900/TAB = X 30 TABS =$27000
27000 * (0.05)= $1350
27000-1350.00
=$25650 + $2.50
=25652.5 for 30 tablets
For 6 tablets,
= (25652.5 / 30)*6
= 5103.5
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A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Answer:
See Below
Step-by-step explanation:
Initial cost = $52
Markup for operating expenses = 34%
$52 + 34% = $52*1.34 = $69.68
Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)
a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86
c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)
d) The absolute loss:
$69.68 - $48.86 = $20.82
The measure of an angle is 60 greater than the measure of its complement find the measure of each angle
Answer:
[tex] \\ \\ 90-60=30degree \\ \\ [/tex]
Answer:
15° and 75°
Step-by-step explanation:
The sum of the measures of complementary angles is 90.
Angle 1 measures x.
Angle 2 measures x + 60.
Their sum is 90.
x + x + 60 = 90
2x + 60 = 90
2x = 30
x = 15
x + 60 = 75
Answer: 15° and 75°
z + 15 = 21
z =
help mee please and thank you
Help!!! Photo is linked below.
Which number line shows the solutions to x > 5?
OA. 8642 8 2 4 6 8
OB. 864-2 0 2 4 6 8
8-64-202468
4-202468
D. Pls help
Answer:
b.
Step-by-step explanation:
The inequality says that x is bigger than 5. The number line shows the arrow starting from 5 and going bigger. Therefore, that number line is correct.
what is this help plssss
Answer:
C
Step-by-step explanation:
8- 3.14159265359 = 4.85840734641.
or
8-pi = 4.85>5 which is incorrect.
2. The next Saturday, the two friends leave at the same time a ain, and Kiran jogs twice
as fast as Clare walks. Where on the rail trail do Kiran and Clare meet?
Answer:
the end by the finish line
Find cot(theta) if tan(theta)=2 and 180°<(theta)<270°. ( 20 POINTS ) (Trigonometric Identities )
Answer:
Cot theta = 0.2
Step-by-step explanation:
[tex]180^\circ < \theta < 270^\circ[/tex]
So, theta is in the third quadrant
[tex]Cot \ \theta =\dfrac{1}{Tan \ \theta}\\[/tex]
[tex]= \dfrac{1}{2}[/tex]
[tex]\sf Cot \ \theta = 0.5[/tex]
A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the Barn Does The Ladder Reach???
Answer:
10 ft to nearest foot.
Step-by-step explanation:
We use the Pythagoras theorem:
12^2 = 6^2 + h^2 where h is the height on the barn
h^2 = 12^2 - 6^2
h^2 = 144 - 36 = 102
h= √108 = 10.39
Find the slope of the line 3x - y = 15
Answer:
3
Step-by-step explanation:
Rearrange in the slope-intercept form :
3x - y = 15y = 3x - 15Comparing this to the standard equation :
y = mx + cm = slopec = y-interceptOn comparing, it is clear that the slope of the line is 3Find the missing side
Answer:
[tex]\huge\boxed{\sf x = 8.2}[/tex]
Step-by-step explanation:
Since it is a right-angled triangle, we will apply Pythagoras Theorem.
Given are:
Base = 16
Perpendicular = x
Hypotenuse = 18
Pythagoras Theorem:
[tex]\sf (Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
(18)² = (16)² + (x)²
324 = 256 + x²
Subtract 256 to both sides
324 - 256 = x²
68 = x²
Take sqrt on both sides
8.2 = x
x = 8.2
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We have,
Perpendicular = 16Hypotenuse = 18Base = xWe know that,
[tex] \large\boxed{\sf (Hypotenuse)^2=(Perpendicular)^2+(Base)^2}[/tex]
[tex]\longmapsto \sf \: (18)^2=(16)^2+x^2[/tex]
[tex]\longmapsto \sf \: (18)^2-(16)^2=x^2[/tex]
[tex]\longmapsto \sf \: x^2=324-256[/tex]
[tex]\longmapsto \sf \: x^2=68[/tex]
[tex]\longmapsto \sf \: x = \sqrt{68}[/tex]
[tex]\longmapsto \sf \: x ≈8.25 [/tex]
convert 29/6 and 16/7 to fraction with denominator 42
answer is given below
29/6 = 203/42
16/7 = 96/42
to make the denominator 42 we use common tables for this just multiplying .
Answer:
the fractions are 203/42 and 96/42
Step-by-step explanation:
[tex]for \: \frac{29}{6} \\ \: multply \: the \: numerator \: and \: denominator \: by \: 7 \\ \frac{29}{6} \times \frac{7}{7} = \frac{203}{42} \\ for \: \frac{16}{7} also \: multiply \: the \: numerator \\ and \: denominatorby \: 6 \\ = \frac{16}{7} \times \frac{6}{6} = \frac{96}{42} [/tex]
Find the value of cos I rounded to the nearest hundredth, if necessary.
18
K
J
30
24
I
Answer:
the value of cos is 26
k =14
j=30
Step-by-step explanation:
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Algebraic Proofs. Geometry
Answer:
Step-by-step explanation:
The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold? startlayout enlarged left-brace 1st row y = startfraction x over 2 endfraction 2nd row y = negative 0.03 (x minus 95) squared 550 $0.03 $0.50 $0.95 $2.00
The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Profit = income - cost
Given that the linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hencee:
Price of each comb = (x/2) / x = 0.5
The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs
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Answer:
$0.50
Step-by-step explanation:
The answer above is correct.
How do I solve this with a fraction?
Answer:
75°
Step-by-step explanation:
x° and (x/5)° are complementary angles.-> x° + (x/5)° = 90°-> (6x/5)° = 90°-> x° = 90° * 5/6-> x° = 75°Answer:
x = 90
Step-by-step explanation:
[tex]m\angle 1+m\angle 2=90[/tex]
[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]
[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]
[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]