Answer:
2/13
Step-by-step explanation:
There are 6 + 4 + 3 = 13 balls all together.
If the first one is green, this will happen with a probability of 4/13. Now there are 12 balls left
There are 6 red balls. 6/12 = 1/2
The probability of the way this happens is 1/2 * 4/13 = 2/13
What is the area of this triangle
Answer:
Area=25 inches
Step-by-step explanation:
Formula for area of triangle is BxH/2 (base times height divided by two.)
So 5x10=50, 50/2=25
just 25in2 I just passed this question
in a family of 4 children, what is the probability of having all girls, given that the oldest child is a girl
Given: PKHE - inscribed, m∠E=120°,
m∠EPK=51°, PF ∥ EH .
Find: m∠KPF, m∠H.
m∠KPF = 29°, m∠H = 129°. Using angle properties, we found m∠KPF by subtracting known angles from 360° and m∠H by alternate interior angles.
To solve this problem, we'll use several properties of angles in circles, particularly those formed by chords, secants, and tangents intersecting inside or outside a circle.
Given:
- PKHE is an inscribed quadrilateral.
- ∠E = 120°.
- ∠EPK = 51°.
- PF is parallel to EH.
We need to find:
- m∠KPF
- m∠H
Let's start by drawing the situation:
P
/ \
/ \
/ \
/_______\
E H
K
Step 1: Determine m∠KPE
Since PF is parallel to EH, we have alternate interior angles:
m∠KPE = m∠EPK = 51°
Step 2: Find m∠KEH
Inscribed angle ∠KEH is half the measure of its intercepted arc, ∠E. So:
m∠KEH = 1/2× m∠E = 1/2× 120° = 60°
Step 3: Find m∠KPH
∠KPH is an exterior angle to triangle KPE:
m∠KPH = m∠KPE + m∠KEH
= 51° + 60°
= 111°
Step 4: Find m∠KPF
In quadrilateral KPFH, the sum of angles is 360°. So:
m∠KPF + m∠KPH + m∠E + m∠H = 360°
m∠KPF + 111° + 120° + m∠H = 360°
m∠KPF + m∠H = 360° - 111° - 120°
m∠KPF + m∠H = 129°
We'll use this relationship in the next step.
Step 5: Find m∠H
Using the fact that PF is parallel to EH, we have alternate interior angles:
m∠H = m∠KPF = 129°
Step 6: Find m∠KPF
From step 4:
m∠KPF + m∠H = 129°
m∠KPF + 129° = 129°
m∠KPF = 0°
So, the final answers are:
- m∠KPF = 0°
- m∠H = 129°
6= a/4 +2
two step equations
Answer:
a=16
Step-by-step explanation:
We want to take the 6 on the left side of the equal sign and do the equation in the reverse.
First since we are adding 2, we want to substract 2 away from 6.
6-2 = 4
Then, since we are dividing by 4, we want to multiply by 4.
4*4 = 16
We can check this to make sure it's correct by replacing a with 16:
16/4 = 4
4+2 = 6
The solution of the expression is,
⇒ a = 16
We have to given that;
Expression is,
⇒ 6 = 2 + a/4
Now, WE can simplify as;
⇒ 6 = 2 + a/4
⇒ 6 - 2 = a/4
⇒ 4 = a/4
⇒ a / 4 = 4
⇒ a = 4 × 4
⇒ a = 16
Thus, The solution of the expression is,
⇒ a = 16
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A 128 ounce container of orange juice cost $5.12 at the local supermarket. What price should the supermarket sell 96 ounce container of orange juice so that the unit rate of the container is the same?
Answer:
Step-by-step explanation:
To figure out the unit rate, divide 5.12 by 128. You should get 0.04, which is the unit rate or cost per ounce. To figure out how much the 96 oz can should be, multiply $0.04 times 96.
Your answer should be $3.84.
Final answer:
To maintain the same unit rate as the 128 ounce container of orange juice that costs $5.12, the supermarket should price the 96 ounce container at $3.84.
Explanation:
The student is asking how to calculate the price for a 96 ounce container of orange juice, given that a 128 ounce container costs $5.12, with the condition that the unit rate remains the same. First, we need to determine the unit rate for the orange juice in the 128 ounce container. To do that, divide the total cost by the number of ounces to find the cost per ounce:
$5.12 \/ 128 ext{ounces} = $0.04 ext{per ounce}
Now that we have the unit rate ($0.04 per ounce), we can calculate the cost for a 96 ounce container by multiplying the unit rate by the number of ounces:
96 ext{ounces} \times $0.04 ext{per ounce} = $3.84
Therefore, the supermarket should sell the 96 ounce container of orange juice for $3.84 to keep the unit rate the same as the 128 ounce container.
Por Favor, help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Using the distributive property, the sum of 44 + 12 can be expressed as 4(11 + 3).
Which math word identifies the number 4 in the rewritten expression?
A) Addend
B) Common Difference
C) Least Common Multiple
D) Greatest Common Factor
How could you use the GCF and the distributive property to express the sum of 63 + 81?
A) 3(21 + 27)
B) 7(9 + 3)
C) 7(9 + 13)
D) 9(7 + 9)
Answer:
it is a for addend
Step-by-step explanation:
Answer:
D) GCD
D) 9(7 + 9)
Step-by-step explanation:
Given in the question an expression
44 + 12
4(11 + 3)
2 | 44, 12
2 | 22 , 6
| 11 , 3
D) GCF = 2x2 = 4
C) LCM = 2x2x11x 3
= 132
B) The difference between each number in an arithmetic sequence is called common difference.
A) A number which is added to another is called addend.
63 + 81
3 | 63 , 81
3 | 21 , 27
| 7 , 9
GCF = 3x3
= 9
Distributive property = 9(7 , 9)
The depth of the snow at Yellowstone National Park in April at the lower geyser basin was normally distributed with a mean of 3.9 inches and standard deviation of 0.52 inches. What value is two standard deviations above the mean?
Final answer:
The value that is two standard deviations above the mean for the depth of snow at Yellowstone's lower geyser basin is calculated to be 4.94 inches.
Explanation:
To find the value that is two standard deviations above the mean in a normally distributed set of data, you simply add two times the standard deviation to the mean. Given that the mean depth of snow at Yellowstone's lower geyser basin is 3.9 inches with a standard deviation of 0.52 inches, we perform the following calculation:
Value = Mean + (2 × Standard Deviation)
Value = 3.9 + (2 × 0.52)
Value = 3.9 + 1.04
Value = 4.94 inches
Therefore, two standard deviations above the mean is 4.94 inches of snow.
The value that is two standard deviations above the mean depth of the snow at Yellowstone National Park in April at the lower geyser basin is 4.94 inches.
The value that is two standard deviations above the mean is calculated as follows:
- Mean= 3.9 inches
- Standard deviation = 0.52 inches
To find the value that is two standard deviations above the mean, we multiply the standard deviation by 2 and then add this to the mean:
- Value = Mean + (2 × Standard deviation)
- Value = 3.9 + (2 × 0.52)
- Value = 3.9 + 1.04
- Value = 4.94 inches
A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 45 cm
The prism is filled with cubes that have edge lengths of
cm.
How many cubes are needed to fill the rectangular prism?
Answer:
if they have sides of 1, its 810
Step-by-step explanation:
we find the volume of the prism by using formula l x h x w
we plug it in 6 x 45 x 3. this equals 810. if the cubes have sides of 1, we do 1 x 1 x 1 to get the volume one, divide it from 810 to get 810 .
A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia's doll house are 1/4 of the measurements of the actual doll house. The floor of the doll house has an area of 864 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house?
Answer:
Length: 9 inches.
Width: 6 inches.
Step-by-step explanation:
Find the dimensions of the floor of the doll house.
Apply the formula:
[tex]A=lw[/tex]
Where A is the area, l is the lenght and w is the width.
You know that:
[tex]A=864\\w=\frac{2}{3}l[/tex]
Then you can solve for l:
[tex]864=l(\frac{2}{3}l)\\\\864=\frac{2}{3}l^2\\\\l=\sqrt{\frac{864*3}{2}}\\\\l=36in[/tex]
Then the width is:
[tex]w=\frac{2}{3}(36)=24in[/tex]
Therefore, the dimensions of the floor on the blueprint of the doll house are:
[tex]l'=\frac{1}{4}(36in)=9in\\\\w'=\frac{1}{4}(24in)=6in[/tex]
Answer:
Step-by-step explanation:
The actual dollhouse floor measurements were figured out to be 24 by 36.
24x36 = 864 square inches for the area, which matches to the problem.
The blueprint measurements are to be 1/4 of the actual measurements, so 1/4 of 24 is 6, and 1/4 of 36 is 9. Therefore, the scaled down measurements of the dollhouse floor are 6x9, which supposedly solves the problem.
But my family and I wondering -- if the actual floor area is 864, and the scaled down drawing is supposed to be 1/4 the size of the actual, then shouldn't the scaled down blueprint area be 1/4 of 864, so 216??
And 6x9 equals 54, not 216!
What are we missing??
π is the ratio of _______________ to _______________.
Answer:
circumference of any circle to the diameter of that circle.
Which equation represents a line parallel to the line shown on the graph?
The correct answer is:
y = -4x + 3
Answer:
The equation "y = -4 x + 3" represents a line parallel to the line shown on the graph.
Step-by-step explanation:
The line shown on the graph corresponds to the equation "y = -4 x + 8".
All linear functions with the same slope are represented by parallel lines.
The slope of the function of the graph is -4 and the slope function of the answer is -4, too. Therefore both of them represents parallel lines.
The function "y = 4 x - 1" has got different slope, so it represents a different line.
Solve x 11, 13, 21,13
Answer:
12
Step-by-step explanation:
The price of a house is originally listed at $200,000. The owners are having a hard time selling it and decided to reduce the price to $190,000. What is the percent decrease of the price of the house?
Answer:
5%
Step-by-step explanation:
Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph.
How many people prefer banana?
WORTH 20 POINTS!!! Pls help!
Answer:
Step-by-step explanation:
18% of 50 people said they liked strawberry. The word 'of' in math means multiply, so 18%•50 or .18•50. Multiply them together: .18•50=9.00 or just 9. 9 people like strawberry ice cream :)
factor mn–mk+xk–xn PPPPPPPLEEEES HELP
mn - mk + xk - xn
mn - xn - mk + xk
n(m - x) - k(m - x)
(n - k) (m - x)
//Hope it helps.
Answer: (n-k)(m-x)
Step-by-step explanation:
mn - mk + xk - xn
mn - xn - mk + xk
n(m - x) - k(m - x)
(n - k) (m - x)
Brainliest + Points! Mathematicians needed please
If your projected earnings in 10 years are $36,000 per year, what would you save in one year according to the 10% rule?
A.
$360
B.
$720
C.
$3,600
D.
$7,200
Answer:
the correct answer is C). 3,600
Step-by-step explanation:
divide 36,000 by 10 and you get your answer hope this helps
p.s. you,re pretty
Help I will rate brainliest
The product of 167 and [tex]b[/tex] is [tex]167b[/tex]
65 less than this quantity is [tex] 167b-65[/tex]
Given: Tangents
LA
and
LB
m∠AOB=110°
Find: m∠ALO.
Answer:
m<ALO=35°
Step-by-step explanation:
we know that
The right triangle AOL is congruent with the right triangle BOL
because
OA=OB=radius of the circle
OL is a common side
LA=LB ---> by applying the Pythagoras theorem
therefore
m<AOL=m<AOB/2
m<AOL=110°/2
m<AOL=55°
Remember that
m<AOL+m<ALO=90° ------> by complementary angles
m<ALO=90°-55°=35°
A spinner has 6 equal sectors labeled A, B, C, D, E and F on it. The spinner is spun twice.
What is the probability of spinning B and then E, given that the spinner shows B on the first spin?
A. 1/2
B. 1/3
C. 1/6
D. 1/36
Answer: C. [tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Given: A spinner has 6 equal sectors labeled A, B, C, D, E and F on it. The spinner is spun twice.
If it is given that the spinner shows B on the first spin, then the total outcomes will be{ (B,A), (B,B), (B,C), (B,D), (B,E), (B,F)}=6
The number of favorable outcome = 1
Now, the probability of spinning B and then E, given that the spinner shows B on the first spin=[tex]\dfrac{1}{6}[/tex]
Answer: C. 1/6
Step-by-step explanation:
W is the midpoint of VX. What is VX if VW=2x+5 and WX =4x-3
Answer:
VX = 26Step-by-step explanation:
If W is the midpoint of VX then VW = WX. Therefore we have the equation:
2x + 5 = 4x - 3 subtract 5 from both sides
2x = 4x - 8 subtract 4x from both sides
-2x = -8 divide both sides by (-2)
x = 4
VX = VW + WX
VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2
Put the value of x = 4 to 6x + 2:
VX = 6(4) + 2 = 24 + 2 = 26
The length of line segment VX, given W is the midpoint and the lengths of VW and WX are represented by 2x+5 and 4x-3 respectively, is 26 units.
Explanation:SolutionIn the given problem, W is the midpoint of VX. This indicates that VW is equal to WX. So, we can set up an equation using the given expressions for VW (2x+5) and WX (4x-3).
We have:
2x+5 = 4x-3
By rearranging the terms, we can find the value of x:
2x-4x = -3-5
-2x=-8
x = 4
Substitute x=4 in either VW or WX to find the length of half of VX: 2x+5 = 2*4+5 = 13.
Since W is the midpoint, VW = WX, so VX = VW + WX = 13 + 13 = 26.
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a motor boat traveld -34 miles per hour for o.75 miles . how far did it go?
Answer:
It could not have gone anywhere. It is impossible to travel negative miles per hour.
However if it was traveling 34 mph for 0.75 miles then it would go 25.5 miles
Write and solve an equation to find the measure of the unknown angle.
Two angles on a straight line will always equal 180 when combined.
180 - 45 = x
X = 135
Answer:
135°
Step-by-step explanation:
These two angles, 45° and x, are "supplementary," which means that they add up to 180°.
Thus, x = 180° - 45° = 135°
Find the circumference of the circle to the nearest tenth. Use 3.14 for pi.
Answer:
circumference of the circle [tex]=18.8m[/tex]
Step-by-step explanation:
Given radius = r = 3m {From comment section}
We need to find the circumference of the circle to the nearest tenth. Question also says to use 3.14 for pi.
Apply formula of circumference of the circle.
circumference of the circle [tex]=2\pi r[/tex]
circumference of the circle [tex]=2(3.14)(3m)[/tex]
circumference of the circle [tex]=18.84m[/tex]
Rounding that to nearest tenth, we get:
circumference of the circle [tex]=18.8m[/tex]
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
Answer:
x = - 2
Step-by-step explanation:
f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4, hence
x² + 4x + 4 = 0 ← This is a perfect square in the form
(x + a)² = x² + 2ax + a²
Hence 2a = 4 ⇒ a = 2, thus
(x + 2)² = 0
x+ 2 = 0 ⇒ x = - 2 ( 2 equal roots )
Value of x = - 2
Answer:
x = - 2
Step-by-step explanation:
Choose 3 answers please!!
Answer:
The answers are C, D, and E.
Step-by-step explanation:
10% of 33 is 10%×33
10% = [tex]\frac{10}{100}[/tex] = [tex]\frac{1}{10}[/tex] = 0.1
You can plug in [tex]\frac{10}{100}[/tex], [tex]\frac{1}{10}[/tex], and 0.1 into 10%×33 for 10%.
[tex]\frac{10}{100}[/tex]×33 = E
[tex]\frac{1}{10}[/tex]×33 = C
0.1×33 = D
The answers are C, D, and E.
What is the perimeter of the polygon? Do not round any side lengths. Please help me.
The easiest way to do this is to plot the points. I used the pythagorean theorem for this one, too. Add the side lengths to get the perimeter: 5 + 5 + 5 + 3 + √40 = 24.32455532 units or just 24 units.
what is the the MAD of 45.1 ? Or 45.1 rounded to the nearest tenth ?
Answer:
you have the rounded part already rounded how it should be. for the mad I need a list of numbers. sorry!!
Pleasee Helppppp!!!!!!!
Answer:
Go to brainfuse.com
Step-by-step explanation:
This website will give you one on one tutoring for free (they won't see your face!)
which of the following number lines models the expression -5 + 6?
Answer:
THE FIRST ONE!! HOPE THIS HELPS!
Step-by-step explanation:
based on the given angle measures what is the measure of QRS
Answer:
∠QRS = 114°
Step-by-step explanation:
Note that the external angle ∠QRS is equal to the sum of the 2 opposite interior angles, hence
∠QRS = ∠PQR + ∠QPR = 52° + 62° = 114°
The measure of angle QRS in a triangle depends on the properties of the triangle and measurements of other angles. Without additional information, it's impossible to provide a definitive measure for angle QRS. A triangle's total angles are always 180 degrees.
Explanation:In order to answer your question about the measure of ∠QRS, we first need information about the other angles in the triangle or the property that defines this triangle. For instance, if we know that this is a right-angle triangle and we have the measure of one of the other angles, we can easily find ∠QRS as a triangle's total angles are always 180 degrees. Alternatively, if this is an equilateral triangle, then all angles measure 60 degrees. Without more specific information, it is impossible to definitively state the measure of ∠QRS.
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