at the pediatricians office, patients are able to select a toy from the toy bin. The toy bin has 12 puzzles, 16 boxes of crayons, and 2 bouncy balls. What is the probability of selecting anything but a bouncy ball
Answers
Answer:
9%
Step-by-step explanation:
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Related Questions
The area of a circle is 121 pi squared meters find the area of the sector whose central angle is 28°
Answers
The sector's needed area while adopting the center angle is 75.6°.
What is the central angle?When two circle radii come together to form a vertex in the center of a circle, the result is a central angle.
This circle's arms could come from two different locations along its arc.
The intersection of the two radii produces a central angle that makes it easier to divide a circle into several halves.
Area of circle:
πr² = 121π
r² = 121
r = 11 m
Now, the area of the sector:
= θ/360 * πr²
= 28/360 * 3.14 * 11 * 11
= 72 * 379.94/360
= 72*1.05
= 75.6
Therefore, the sector's needed area while adopting the center angle is 75.6°.
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Given that AABCDEF, solve for X.
B
A. 10
o
B. 6
C. 17
0 0
Answers
Answer:
D
Step-by-step explanation:
Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is
\(\frac{EF}{BC}\) = \(\frac{DE}{AB}\) , substitute values
\(\frac{x}{42}\) = \(\frac{5}{30}\) ( cross- multiply )
30x = 5 × 42 = 210 ( divide both sides by 30 )
x = 7
The ratio remains same
\(\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}\)
\(\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}\)
\(\\ \sf\dashrightarrow 15x=105\)
\(\\ \sf\dashrightarrow x=7\)
if 1 over 5= 20% what is the fration equivalent to 120%
Answers
120% is equivalent to the fraction 11/5.
What are Fractions?Fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin.
If 1/5 = 20%, then we can convert 120% to a fraction by first dividing by 100 to get the decimal equivalent, and then adding 1 to get the fractional equivalent:
120% = 120/100 = 1.2
1.2 + 1 = 2.2
Therefore, 120% is equivalent to the fraction 11/5.
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For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are [1 - 20x + 150x^2 + cx^3 ]. find c?
Answers
Using binomial theorem we can expand the equation but We are not given the value of a or n, so we cannot determine c exactly.
What is the difference between real and integer?Integers are real numbers that only comprise positive and negative whole integers as well as natural numbers. Because of rational and irrational numbers, real numbers may include fractions, whereas integers cannot.
What's a real number?A real number is a quantity in mathematics that may be expressed as an infinite decimal expansion. Real numbers, as opposed to natural numbers such as 1, 2, 3,..., which are generated from counting, are used in measures of continually changing quantities such as size and time.
by applying the binomial theorem:
\((1 + ax)^n = C(n, 0) + C(n, 1)(ax) + C(n, 2)(ax)^2 + C(n, 3)(ax)^3 + ...\)
where C(n, k) is the binomial coefficient, which equals\(n!/(k!(n-k)!).\)
The first few terms of this expansion are:
\((1 + ax)^n = 1 + nax + n(n-1)(a^2/2)x^2 + n(n-1)(n-2)(a^3/6)x^3 + ...\)
Comparing with the given expression [1 - 20x + 150x^2 + cx^3], we have:
\(1 - 20x + 150x^2 + cx^3 = 1 + nax + n(n-1)(a^2/2)x^2 + n(n-1)(n-2)(a^3/6)x^3 + ...\)
Equating coefficients of \(x^3\) on both sides, we get:
\(c = n(n-1)(n-2)(a^3/6)\)
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If the you know that P(A) = 1/4, P(B)=1/4, and P(A|B)=4/5, What is the P(A and B)?
Answers
The probability of events A and B occurring together, P(A and B), is 1/5.
To find the probability of the intersection of events A and B, denoted as P(A and B), we can use the conditional probability formula:
\(P(A and $ B) = P(A|B) \times P(B)\)
Given that P(A) = 1/4, P(B) = 1/4, and P(A|B) = 4/5, we can substitute these values into the formula:
\(P(A $ and $B) = (4/5) \times (1/4)\)
Simplifying the expression:
P(A and B) = 4/20
Reducing the fraction to its simplest form:
P(A and B) = 1/5.
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Which expression is equivalent to the expression -3(4x - 2) - 2x
A) -8x
B) -16x
C) -14x - 2
D) -14x + 6
Answers
Answer:
-14x + 6 (option D)
Step-by-step explanation:
To solve the given equation, you first need to distribute the negative 3.
So, you need to multiply
(4x)(-3) ; (-2)(-3)
(4x)(-3)= -12x
(-2)(-3)= 6
So, your new, distributed, equation would be:
-12x + 6 - 2x
If we combine like terms (-12x - 2x), our new equation will be:
-14x + 6
A line with a slope of –1/4 passes through the point (–6,5). What is its equation in point-slope form?
Answers
The point- slope form of the line is y-5 = -0.25(x+6).
What is line?
A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.
A line with a slope of –1/4 passes through the point (–6,5)
Any line in point - slope form can be written as
y - y₁= m(x -x₁) -------(1)
where,
y= y coordinate of second point
y₁ = y coordinate of first point
m= slope of the line
x= x coordinate of second point
x₁ = x coordinate of first point
In the given problem (x₁ , y₁) = (-6,5) and m= -1/4
Putting all these values in equation (1) we get,
y-5= (-1/4) (x- (-6))
⇒ y-5 = -0.25(x+6)
Hence, the point- slope form of the line is y-5 = -0.25(x+6).
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I need help!!! Can someone please help!!
Answers
Answer:
c=17
Step-by-step explanation:
Answer:
The correct answer is C, 17
Step-by-step explanation:
you have to do 3 times 3 and then add that to 2 times 2 times 2
how much ice cream can be put into a cone with radius 3.5 cm and height 12cm
Answers
Step-by-step explanation:
radius of the cone = 3.5cm
height of cone = 12 cm
volume of cone = pie × r ^2 × h
= 1/3 × 22/7 × 35/10× 35 /10 × 12 = 154 cm^3
the extra icecream cannot be measured untill it's weight is not given.
Hiya can someone pls help me ty due in few days thanks! <3
Answers
The distance from the wall, that the ladder slipped during the day, would be 21 cm.
How to find the distance ?First, use the Pythagorean theorem to find the original height of the ladder from the wall:
50² + b² = 300²
2, 500 + b ² = 90, 000
b ² = 90, 000 - 2, 500
b = √ 87, 500
b = 295. 8 cm
We can then find the new distance from the wall to be :
= 50 + 70
= 120 cm
The new height of the ladder to show the slip would be:
120² + b² = 300²
14,400 + b ² = 90, 000
b ² = 90, 000 - 14, 400
b = √ 75, 600
b = 275 cm
The distance slipped is:
= 295. 8 - 275
= 21 cm
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Solve the following equation for x.
Answers
Answer:
Step-by-step explanation: what’s the equation?
The ________ for a point is the number of standard errors a point is away from the mean. Group of answer choices z-value coefficient of variation variance standard deviation
Answers
The term you are looking for is the "z-value." The z-value for a point is the number of standard errors a point is away from the mean.
The z-value for a point is the number of standard errors a point is away from the mean. This is a long answer but it accurately explains the concept.
The z-value is a measure of how many standard deviations a particular observation or data point is away from the mean. It is calculated by subtracting the mean from the value and then dividing the result by the standard deviation. By doing this, we can determine whether a particular observation is within the normal range or if it is an outlier. The z-value can also be used to compare observations from different data sets as it takes into account the variability of the data.Therefore, the z-value is an important statistical tool that helps us to interpret and analyze data.Thus, the term you are looking for is the "z-value." The z-value for a point is the number of standard errors a point is away from the mean.Know more about the z-value
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Jordan is mailing a package at the post office. The box measures 8 3/4 inches long, 2 6/7 inches wide, and 5 inches high. What is the volume of his box? Answer without units.
Answers
Answer: Volume of box( without units)=125
Step-by-step explanation:
Volume of a box Length x width x height
Given that the box weighs
8 3/4 inches in length
2 6/7 inches in width ,
5 inches in height
Volume = 8 3/4in x 2 6/7in x 5in
= 35/4in x 20/7 in x 5in
=5/4 x 20 x 5
=5x5x5=125 in³
what is the product of (3a^2b^7)(5a^3b^8)
Answers
Answer:
when multiply with exponents you add so
(3a^2b^7)(5a^3b^8)=15a^5b^13
Hope This Helps!!!
factorise x^2-4 in maths
Answers
Answer:
(x-2)(x+2)
Step-by-step explanation:
use the difference of squares
x²-4 = x²-2² = (x-2)(x+2)
find the value of x. Round to the nearest degree
Answers
Answer:
51 degress
Step-by-step explanation:
sin x = 7/9
x = sin^-1 (7/9)
simply using a calculator.
Answer:
x = 51 degrees
Step-by-step explanation:
(to find x, use sine)
Sine = \(\frac{opposite}{hypothenuse}\)
⇒ Sine x = \(\frac{7}{9}\)
⇒ \(\frac{7}{9}\) = 0.78
⇒ Sine x = 0.78
then calculate what Sine-1 of 0.78 is:
⇒ Sine-1 of 0.78 = 51.26
x = 51.26
Round to the nearest degree:
51.26 ⇒ 51 degrees
solve on the interval [0,2pi] 3(sec x)^2 -4=0
Answers
Answer:
pi/6, 5pi/6, 7pi/6, 11pi/6
Step-by-step explanation:
3(sec x)^2 -4=0
Add 4 on both sides:
3(sec x)^2=4
Divide 3 on both sides:
(sec x)^2=4/3
Take square root of both sides:
sec x=plus/minus sqrt(4/3)
Reciprocal identity:
cos x=plus/minus sqrt(3/4)
Simplify the radical:
cos x=plus/minus sqrt(3)/2
So we are looking on the unit circle where the first coordinate of the order pair is either sqrt(3)/2 or -sqrt(3)/2.
This happens at pi/6, 5pi/6, 7pi/6, 11pi/6
Answer:
\(\sf \boxed{\sf x = \dfrac{\pi}{6},\dfrac{5\pi}{6},\dfrac{7\pi}{6},\dfrac{11\pi}{6}}\)
Step-by-step explanation:
A trigonometric equation is given to us , and we need to find the solutions of the equation within the interval [ 0,2π ]
The given equation is ,
\(\sf\longrightarrow 3(sec x)^2-4=0 \)
This can be written as ,
\(\sf\longrightarrow 3sec^2x - 4 = 0 \)
Add 4 to both sides of the equation ,
\(\sf\longrightarrow 3sec^2x = 4 \)
Divide both sides by 3 ,
\(\sf\longrightarrow sec^2x =\dfrac{4}{3} \)
Put squareroot on both sides ,
\(\sf\longrightarrow sec \ x =\sqrt{\dfrac{4}{3} }\)
Simplify ,
\(\sf\longrightarrow sec\ x =\pm \dfrac{2}{\sqrt3} \)
Multiply numerator and denominator by √3 ,
\(\sf\longrightarrow \bf sec(x) = \dfrac{ 2\sqrt3}{3},-\dfrac{2\sqrt3}{3} \)
Solve for x ,
\(\sf\longrightarrow x = \dfrac{\pi}{6} +2\pi n , \dfrac{11\pi}{6}+2\pi n , \textsf{ for any integer n } . \)
Therefore all the possible solutions are ,
\(\sf\longrightarrow \boxed{\blue{\sf x = \dfrac{\pi}{6},\dfrac{5\pi}{6},\dfrac{7\pi}{6},\dfrac{11\pi}{6}}} \)
On March 8, 2017, one Chinese yuan was worth 0.14 U.S. dollars.(a) On that date, how many yuan was 29.11 dollars worth?Round your answer to the nearest hundredth of a yuan.0 yuan(b) On that date, how many dollars was 175.89 yuan worth?Round your answer to the nearest hundredth of a dollar i need help with this math problems.
Answers
It is given that:
\(\yen1=\$0.14\)Dividing both sides by 0.14, it follows that:
\(\$1=\yen\frac{1}{0.14}\)Therefore, the worth of $29.11 in Yuan is given by:
\(29\times\frac{1}{0.14}=\yen207.14\)a) Therefore, the worth of $ 29.11 in Yuan is ¥ 207.14
Therefore, the worth of ¥ 175.89 in dollars is given by:
\(175.89\times0.14\approx\$24.62\)b) Therefore, the worth of ¥ 175.89 in dollars is $ 24.62
John has $80. Every week, he spends $7.Create an equation that represents How much money, m, in dollars, will he have after the fourth week? Enter the equation and the answer on separate lines. (Will give brainliest)
Answers
Answer:
7x+80
Step-by-step explanation:
x represents the number of weeks
Identify the place value of the underlined digit.
1) 0.9838.47
3) 145.58
4) 0.005
5) 31.0643
Answers
The place value of the following underlined digit are as follows:
0.983 = hundredths.8.47 = hundredths.145.58 = tens.0.005 = tenths.31.0643 = unit.What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.In this scenario, the underlined digit 8 in "0.983" has a place value of hundredths because it is located 2 places after the decimal point. Additionally, the underlined digit 4 in "145.58" has a place value of tens because it is located 2 places before the decimal point.
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Complete Question:
Identify the place value of the underlined digit.
1) 0.983
2) 8.47
3) 145.58
4) 0.005
5) 31.0643
which value of x is a solution to this equation ? 2x² + 5x - 63 =0A) 9B)3C) -7D)-4
Answers
Hello!
We have the equation 2x² +5x -63 = 0
First, let's find the coefficients a, b and c as ax² +bx +c = 0:
• a = 2
,• b = 5
,• c = -63
Now, we will use the formula below to solve this equation:
\(x=\frac{-b\pm\sqrt[]{b^2-4\cdot a\cdot c}}{2\cdot a}\)Let's replace the coefficients with the values that we already found:
\(\begin{gathered} x=\frac{-5\pm\sqrt[]{5^2-4\cdot2\cdot(-63)_{}}}{2\cdot2} \\ \\ x=\frac{-5\pm\sqrt[]{5^2+504_{}}}{4} \\ \\ x=\frac{-5\pm\sqrt[]{25^{}+504_{}}}{4} \\ \\ x=\frac{-5\pm\sqrt[]{529}}{4} \\ \\ x=\frac{-5\pm23}{4} \end{gathered}\)Now, let's divide it into two solutions, look:
\(\begin{gathered} x_1=\frac{-5+23}{4}=\frac{18}{4}=\frac{9}{2} \\ \\ x_2=\frac{-5-23}{4}=-\frac{28}{4}=-7 \end{gathered}\)Right answer: C) -7 is a solution.
What is 777x65 ?????????
Answers
Answer:
50505
Step-by-step explanation:
this is the answer you can use calculator
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Answers
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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9. HON bisects PQR and N is the midpoint of PR classify each triangle by its angles and sides.
a. APOR:
28
30
TO
14
b. APRT:
S
76
c. ATOS:
7
60R
P
5
76
d. AQNP:
(Number 9 in the picture pls)
Answers
2 Sam is a manager in an office.
She wants to buy 14 new chairs.
Each chair costs £73
Sam will also be charged 20% VAT on the cost of the chairs.
Sam has £1200 to buy the chairs.
Is £1200 enough to buy the 14 chairs?
Answers
Answer:
14 X 73 = 1022
1022/100 X 120 = 1226.4
1226.40 - 1200 = 26.40
No Sam does not have enough she is 26.40 short.
A game is considered "fair" if the player can expect to win $0.
Which is a fair game?
A Game A
cost to play: $1
prize: $5
probability of winning: 0.2
Game C
cost to play: $3
prize: $20
probability of winning: 0.1
B Game B
cost to play: $2
prize: $10
probability of winning: 0.3
Game D
cost to play: $4
prize: $10
probability of winning: 0.5
Answers
Answer:
eeuu
Step-by-step explanation:
dijud
cost to play: $4
prize: $10
probability of winning: 0.5
Step-by-step explanation:
Write an equation in standard form of the line that passes through (7,-3) and has a slope of 4.
Answers
Answer:
equation of line
step one
(7,-3) (x,y)
slope = y-(-3) = 4
x-7 1
= 4(x-7) = 1(y+3)
4x-28=y+3
4x-28-y-3 =0
4x-y-31=0
equation of line is = 4x-y-31=0
Convert the following equation from point slope form to standard form y=2/5(x-10)-3
Answers
I Hope This Helps You
y=2x-20/5-3
y+3=2x-20/5
5(y+3)=2x-20
5y+15=2x-20
2x-5y-35=0
The rylander sold 150 tickets to a movie some of the tickets were student tickets the rest were adult tickets a student ticket cost 7.00 dollars and an adult ticket cost 10.00 dollars the the ticket sales totaled 1419 dollars determine the number of student tickets and the number of adult tickets
Answers
Answer:dont knon
Step-by-step explanation:sorry
Plzzzzzzzzz i need help
Answers
Answer:
Area = base x height
Step-by-step explanation:
8X11=88sq
Answer:
88 units^2
Step-by-step explanation:
The area of a parallelogram can be found using he following formula:
a=b*h
where b is the base and h is the height.
We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).
b= 11 units
h= 8 units
Substitute these values into the formula.
a= 11 units * 8 units
Multiply
a= 88 units^2
The area of the parallelogram is 88 square units.