The probability is 68/100 which reduces to 17/25
How to express the probability?Given the following results:
Guitar: 32 Clarinet: 11 Flute: 20 Trumpet: 23 Piano: 14 Based on these results,
Therefore, the total number of students who play instruments other than guitar = 11 + 20 + 23 + 14 = 68
The total number of students is the sum of the students who play guitar plus the students who play other instruments = 32 + 68 = 100
Therefore, the probability that a student chosen at random will play an instrument other than guitar as a fraction in the simplest form is 68/100 which reduces to 17/25.
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A blind taste test is over and a new favorite juice flavor has been selected. The new flavor received 3 votes for every vote received by the original flavor. The new flavor received 723 votes. How many votes did the original flavor receive?
According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:
• x = # of votes of the original flavour,
,• n = # of votes of the new flavour.
We can write the following equation for the number of votes:
\(n=3\cdot x\)Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:
\(\begin{gathered} 723=3\cdot x, \\ x=\frac{723}{3}=241. \end{gathered}\)Answer
The original flavour received 241 votes.
The midpoint of overline AB is M(2, -2) If the coordinates of A are (-2, 1), what are the coordinates of B?
Answer:
(6, -5)
Step-by-step explanation:
Midpoint :
(2, -2) = (x - 2 / 2, y + 1 / 2)Equations formed :
x - 2 / 2 = 2x - 2 = 4x = 62. y + 1 / 2 = -2
y + 1 = -4y = -5Coordinates of B : (x, y)
(6, -5)Which 2 expressions are equiavalent to -40/9
Answer:
360 is the answer
Step-by-step explanation:
hi
have a good day
hope it helps you
thank me later
carryonlearing
Answer:
Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u
Find x and the measure of each side.
ΔR S T is equilateral. R S is three more than four times x, S T is seven more than two times x , and T R is one more than five times x .
For given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.
In given question,
ΔRST is equilateral triangle.
We have been given some information about sides of ΔRST.
RS is three more than four times x.
We write above statement as mathematical expression.
RS = 3 + 4x
ST is seven more than two times x.
We write above statement as mathematical expression.
ST = 7 + 2x
and TR is one more than five times x.
We write above statement as mathematical expression.
TR = 1 + 5x
We need to find the value of x.
Since ΔRST is an equilateral triangle, RS = ST = RT
⇒ 3 + 4x = 7 + 2x = 1 + 5x
Consider 3 + 4x = 7 + 2x
⇒ 4x - 2x = 7 - 3
⇒ 2x = 4
⇒ x = 2
Now we find the measure of each side.
RS = 3 + 4x
RS = 3 + 4(2)
RS = 11 units
But RS = ST = RT
So, the measure of each side is 11 units.
Therefore, for given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.
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Simplify 16x^8y^5= 4x^5y
Complete the sentence by using always sometimes or never a parallelogram is a trapezoid
Answer:
Parallelogram is never a trapezoid
Step-by-step explanation:
Given
Shapes: Parallelogram and Trapezoid
Required
Compare both shapes
The properties for comparison of both shapes are:
In a parallelogram: It has 4 sides and opposite sides are parallel.
In a trapezoid: It has 4 sides, 2 of which are parallel while the other two are not.
Hence, the word that completes the sentence is never.
If EF = x2, FG = 5x and EG = 14, find EF.
The drawing is not drawn to scale.
Answer: x2/e
Step-by-step explanation:
Z0=4 ; Zn=1/2 Zn-1+1
Answer:
Z_1 = 3
Z_2 = 2.5
Z_3 = 2.25
Step-by-step explanation:
To find the next three terms in the sequence defined by Z_0 = 4 and Z_n = (1/2) Z_(n-1) + 1, we can use the recursive formula to calculate each term.
First, we can calculate Z_1 by substituting n = 1 into the recursive formula:
Z_1 = (1/2) Z_0 + 1 = (1/2) (4) + 1 = 3
This means that the second term in the sequence is 3.
Next, we can calculate Z_2 by substituting n = 2 into the recursive formula:
Z_2 = (1/2) Z_1 + 1 = (1/2) (3) + 1 = 1.5 + 1 = 2.5
This means that the third term in the sequence is 2.5.
Finally, we can calculate Z_3 by substituting n = 3 into the recursive formula:
Z_3 = (1/2) Z_2 + 1 = (1/2) (2.5) + 1 = 1.25 + 1 = 2.25
This means that the fourth term in the sequence is 2.25.
Therefore, the next three terms in the sequence are 3, 2.5, and 2.25.
Each term in the sequence is calculated by taking half of the previous term and adding 1. The sequence starts at 4, so the second term is calculated by taking half of 4, which is 2, and adding 1, which gives 3. The third term is calculated by taking half of 3, which is 1.5, and adding 1, which gives 2.5. The fourth term is calculated by taking half of 2.5, which is 1.25, and adding 1, which gives 2.25. This pattern continues for each subsequent term in the sequence.
Consider the original triangle and the reduction. A triangle has a base a and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters. What is the length of side a in centimeters? one-sixth one-half 2 6.
So, the length of triangle side a in centimeters is 6.
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
We can use the fact that the ratio of corresponding sides in similar figures is constant to solve this problem.
Since the two triangles are similar, we know that the ratio of their sides is constant. Letting x represent the length of side a in centimeters, we have
(a/3) = (8/4)
We can solve this equation by multiplying both sides by 3 to get
a = (8/4) * 3
= 6
Therefore, the length of side a in centimeters is 6.
The answer is therefore 6.
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Since the two triangles are similar, we know that the ratio of their sides is constant. Letting x represent the length of side a in centimeters, we have
(a/3) = (8/4)
We can solve this equation by multiplying both sides by 3 to get
a = (8/4) * 3
= 6
Therefore, the length of side a in centimeters is 6.
The answer is therefore 6.
can someone answer this asap :))
^^ all i need is the second one shown in the picture, you don’t have to do #1 :)
also can u please show everything step by step so i can understand? thank you!
a bridge hand consists of 13 cards dealt at random from the deck of 52. the probability that a bridge hand will have exactly 2 queens is:
The probability that a bridge hand will have exactly 2 queens is 0.45%.
To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:
P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)
Where:
n is the total number of trials
k is the number of successes in the trials
p is the probability of success in a single trial
In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).
Plugging these values into the formula, we get:
P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹
= (78) * (1/169) * (4/13)¹¹
= (4/169) * (4/13)¹¹
This simplifies to:
P(exactly 2 queens) = (4/169) * (4/13)¹¹
= (4/169) * (4/169)¹¹
= (4/169)¹²
The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.
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Adding mixed numbers with like denominators worksheets.
To practice adding mixed numbers with like denominators, you can use worksheets that include problems with varying variables.
Adding mixed numbers with like denominators. Since you mentioned worksheets, I'll explain the process step-by-step, and you can apply these steps to any worksheet problems you have.
Step 1: Identify the mixed numbers and their like denominators.
In a given problem, you'll be given mixed numbers (a whole number and a fraction combined) with like denominators (same number in the denominator).
Example: 2 1/4 + 3 3/4 (Both fractions have the denominator 4)
Step 2: Add the whole numbers.
Add the whole numbers of the mixed numbers together.
Example: 2 + 3 = 5
Step 3: Add the fractions with like denominators.
Add the numerators (top numbers) of the fractions and keep the denominators the same.
Example: 1/4 + 3/4 = (1+3)/4 = 4/4
Step 4: Simplify the fraction, if needed.
If the fraction is improper (numerator is equal to or greater than the denominator), simplify it to a mixed number.
Example: 4/4 = 1
Step 5: Combine the whole numbers and simplified fractions.
Add the whole numbers from Step 2 and the simplified fraction from Step 4.
Example: 5 (whole number) + 1 (simplified fraction) = 6
Final Answer: 2 1/4 + 3 3/4 = 6
Now, you can apply these steps to any problem in your adding mixed numbers with like denominators worksheets. Good luck!
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Help? and please make sure it’s right :)
Answer:
x=7
Step-by-step explanation:
180-105= 75°
11x-2=75°
11x=77
x=7
in the given figure find x if ABIICD
Answer:
i hope it will help uh....
The owner of the local sporting goods store is offering a 40% discount on one regular priced item. If a customer receives a discount of $8, what is the regular price of the item?
Answer:
I think the answer would be D. 20 hope it helps
Step-by-step explanation:
Use long division to find each quotient. Show your computation and write your answer as a decimal.
a. 22÷5 b. 7÷8
Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
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A subset h of a vector space v is a subspace of v if the zero vector is in h.
a. True
b. False
Answer: TRUE
SUIIIIIIIII
The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.
What is the subspace of a vector?A subspace is a vector space that is also encompassed within another vector space.
So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.
Three components must be demonstrated to prove that a subset is a subspace:
Additionally, demonstrate that it is closed.
Show that it is closed when scalar multiplication is used.
Show that vector 0 is a part of the subset.
As it is stated in the question;
h represents a subset of the vector space v.
The zero vector is contained in h.
This implies that h must be in the v subspace.
Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.
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1. Records for Ingman's Deli show this opening balance and these receipts for Ingman's Mustard from January through July. At the end of July, 52 jars were on hand. Find the total receipts, the total cost of each item, and the total cost for all items. Date Receipts Unit Cost Total Cost 1-Mar 60 $1.42 4-Apr 20 1.60 1-May 40 1.55 2-Jun 50 1.45 1-Jul 55 1.40 Total a. What is the average cost per unit? b. Using the average-cost method, what is the value of the inventory?
Answer:
it is 1.34$ of the mayth for the value of inventory
Translate the quadrilateral W(-2,2), X(-3,3), (-6,5), 2(-6,3)
using the transformation (x-2,y+3).
Answer:
New Coordinates W(-4, 5), X(-5, 6), (-8, 8), 2(-8,6)
someone help me asap
Step-by-step explanation:
$35.00 - X =
X = $15.00
$35.00 - $15.00 = $20.00
Help u guys plssss number 8
Answer:
27
Step-by-step explanation:
Note : -
That square like symbol at the intersection of two lines is 90°.
( 4x - 18 )° and 90° are corresponding angles.
Corresponding angles are equal since lines
a & b are parallel.
4x - 18 = 90
4x = 90 + 18
4x = 108
x = 108 / 4
x = 27
The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form?
A. Y = x + 6
B. Y = 6x
C. Y= 6
Answer:
C
Step-by-step explanation:
slope('m") = 0 y-intersect ("b") = 6
y= mx + b
y = 0x + 6
y = 6
3 exponet 4 x (20.3 - 9) + 14.5
The solution to the expression is given as 3 exponent 4 x (20.3 - 9) + 14.5 is 929.8
How to determine solution to the expression?From the question, the expression is given as
3 exponent 4 x (20.3 - 9) + 14.5
When the expression is rewritten, we have the following representation
3⁴ x (20.3 - 9) + 14.5
Evaluate the exponent
So, we have
3⁴ x (20.3 - 9) + 14.5 = 81 x (20.3 - 9) + 14.5
Evaluate the expression in the bracket
3⁴ x (20.3 - 9) + 14.5 = 81 x 11.3 + 14.5
Solving further, we have
3⁴ x (20.3 - 9) + 14.5 = 915.3 + 14.5
Lastly, we have
3⁴ x (20.3 - 9) + 14.5 = 929.8
Hence, the solution is 929.8
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Find the area of the semicircle. Round your answer to the nearest whole number, if necessary. semicircle 40cm
Answer:
Answer is NOT 126 CORRECT answer is 628
Step-by-step explanation
First you divide 40 by 2 which equals 20 . Then you do pi which equals 3.14 and you multiply it by 20^(2) which equals 1256 . After that you take 1256 and divide it by 2 which equals 628 .
Help pls , it would be nice if you help me
Answer:
1. Negative slope
2. Undefined slope
3. Positive slope
4. A vertical line has a undefined slope
5. Negative slope
Step-by-step explanation:
I am not going to give any reasons because that would take too long but I hope this helped. Also I do not know the answer for numbers 6-9, sorry.
Plot 213, −56, and −312 on the number line.
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
Select all statements that are true about the intersection of a cone and a plane.
It will be either Options A, D and E are correct.
What does it mean that a cone intersected a plane?When a plane cuts a solid, such as a cone, cylinder, or sphere, it creates a shape known as a cross-section. Depending on how the plane cuts the cone, the cross-section of a solid, such as a cone, can be a circle, a parabola, or a triangle.
Given:
A cone is intersected by a plane.
A cone that is crossed by a plane
When the cone intersects the plane, we must determine the shape of the cross-section.
When the Plane intersects the cone parallel to the base, the resulting cross-section is circular in shape.
When the plane intersects the cone at an angle, the resulting cross section is of parabola shape.
As a result, choices A, D, and E are correct.
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A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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A simple random sample of kitchen toasters is to be taken to determine the mean operational lifetime in hours. Assume that the lifetimes are normally distributed with population standard deviation hours. Find the sample size needed so that a confidence interval for the mean lifetime will have a margin of error of 8.
A simple random sample of 64 kitchen toasters should be taken to determine the mean operational lifetime with a margin of error of 8 hours and a 95% confidence level.
A confidence interval estimates the range within which a population parameter (in this case, the mean operational lifetime) is likely to lie, based on a sample statistic. The margin of error is the maximum amount by which the sample statistic might deviate from the true population value.
The sample size (n) can be calculated using the formula: n = (Z * σ / \(E)^2\) where Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error. The Z-score is a measure of how many standard deviations a data point is from the mean of a distribution. It can be looked up in a Z-score table, or calculated using software, for a specific confidence level. Commonly used confidence levels include 90%, 95%, and 99%.
To calculate the sample size needed for a confidence interval with a margin of error of 8, we need to use the formula:
n = (\((z-value)^2\) * σ\(^2)\) / (\(E^2\))
Where:
- n is the sample size
- z-value is the critical value for the desired confidence level (let's assume a 95% confidence level, so z-value is 1.96)
- σ is the population standard deviation (given as )
- E is the margin of error (given as 8)
Plugging in the values, we get:
n = \(((1.96)^2 * ^2) / (8^2)\)
n = \((3.8416 * ^2) / 64\)
n = 0.2373 *
Rounding up to the nearest whole number, the sample size needed is:
n = 64
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