The experimental probability that the next piece of jewelry sold will be a bracelet is of 11/26.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
For the experimental probability that the next piece of jewelry sold will be a bracelet, the outcomes are given as follows:
Desired outcomes: 22 pieces sold that were a bracelet.Total outcomes: 52 pieces sold.Hence the experimental probability that the next piece of jewelry sold will be a bracelet is obtained as follows:
p = 22/52
p = 11/26.
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how far is sam from the top of a temple?
The distance between Sam from the top of the temple is 56. 6 feet
How to determine the distanceTo determine the distance, we need to know that trigonometric identities are mathematical identities that is mostly used to prove that all the values of the functions of trigonometry are true.
The types of trigonometric identities are;
tangentsinecosinecotangentcosecantsecantFrom the information given, we can deduce that;
The angle of elevation, θ = 62 degrees
The opposite side of the angle that is the height of the temple is 50 feet
The distance is the hypotenuse side
Then, using sine identity, we have;
sin 62 = 50/d
d = 50/0. 8829
d = 56. 6 feet
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16 Triangle ABC is translated to triangle A'B'C' by
the following motion rule.
(x, y)(x+2y-5)
-8 -6
G
A. (4,-4)
B. (2,-5)
C. (0.6)
D. (-2.5)
N
8
6
B
-2
S
-6
-8
2
What will be the coordinates of A'?
6 8
Answer:
To find the coordinates of A' after the translation, we need to apply the motion rule to the coordinates of A:
(x, y) → (x + 2y - 5, y - 6)
Substituting the coordinates of point A, which is (4, -4), into this motion rule, we get:
A' = (4 + 2(-4) - 5, -4 - 6) = (-3, -10)
Therefore, the coordinates of A' after the translation are (-3, -10).
Last year, a person wrote 120 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are listed and explained:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.An year is composed by 365 days, hence the daily mean of the number of checks written is given as follows:
120/365 = 0.3288 checks.
The variance has the same value of the mean for the Poisson distribution, in units squared, while the standard deviation is the square root of the variance, hence:
sqrt(0.3288) = 0.5734 checks.
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The bookstore has 27 chapter books, 9 comic books, and 30 picture books. The shop sold
one-third of the books. How many books were sold?
Answer:
22
Step-by-step explanation:
first you would add all books from the book store to get 66
Then you would divide that by 3 to get
66÷3=22
3. On a state math exam the scores were normally distributed with a mean of 72 and a standard deviation of 8. Use bell curve with standard deviations to help you complete the problem.
b. What percentage of students will score less than 72?
C. What percentage of students will score above 80?
The mean is 72, which is the center of the distribution, 50% of the students will score less than 72. The area to the right of z = 1, so approximately 15.87% of students will score above 80.
a) Since the mean is 72, and we want to know the percentage of students who scored less than 72, we need to find the area under the normal distribution curve to the left of the z-score that corresponds to 72. Since the standard deviation is 8, the z-score is:
z = (72 - 72) / 8 = 0
Using a standard normal distribution table or a calculator, we can find that the area to the left of z = 0 is 0.5. Therefore, 50% of students scored less than 72.
b) To find the percentage of students who scored above 80, we need to find the area under the normal distribution curve to the right of the z-score that corresponds to 80. The z-score is:
z = (80 - 72) / 8 = 1
Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1 is 0.1587. Therefore, approximately 15.87% of students scored above 80.
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The circumference of a circle is 81.64 miles. What is the circle's radius?
Use 3.14 for л.
The radius of the circle with given circumference is 13.
What is circumference?
In mathematics, the circumference of any shape determines the path or boundary that surrounds it. In other words, the perimeter, also referred to as the circumference, helps determine how lengthy the outline of a shape is.
We are given that the circumference of a circle is 81.64 miles.
We know that circumference of a circle is given by 2πr.
So, using this we get
⇒ C = 2πr
⇒ 81.64 = 2 * 3.14 * r
⇒ 81.64 = 6.28 * r
⇒ r = 13
Hence, the radius of the circle with given circumference is 13.
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Which decimal is equivalent to
4/15
Please!
Answer:
0.266666
Step-by-step explanation:
1) Use the algorithm method.
0 . 2 6 6 6 6 6
____________________________
15 | 4 .
3 . 0
__________
1 . 0 0
9 0
_________
1 0 0
90
___________
1 0 0
9 0
___________
1 0 0
9 0
______
1 0 0
9 0
___
10
2) therefore, 4/15 ≈0.266666.
0.266666
A hiker hikes at a steady rate throughout the day on a mountain. Which student wrotr a correct equation to represent the linear relationship shown on the table between X, the number of hours hiked and y, the current altitude of the climber?
There is no table provided to reference, but the equation that represents a linear relationship between X and Y is:
y = mx + b
where m is the slope of the line and b is the y-intercept. The equation can also be written as:
y = b + mx
where b is the y-intercept and m is the slope. The equation represents a straight line on a graph, where the slope determines the steepness of the line, and the y-intercept is the point where the line crosses the y-axis. To write the equation for the table of X and Y values, we need to determine the slope and y-intercept from the given data.
A bag has 2 blue cubes, 3 red cubes, and 5 green cubes. If you draw a cube and replace it in the bag 100 times, which of the following amounts would you expect to pull? Select all that apply. A) Pull more than 2 times as many green cubes as blue cubes B) Pull a green cube 50 times C) Pull a blue cube 20 times D) Pull more red cubes than green cubes E) Pull a blue cube 70 times
Pull a green cube 50 times; Pull a blue cube 70 times. The possible options are B and E.
Describe Probability?Probability refers to the likelihood or chance of an event occurring, expressed as a number between 0 and 1.
A probability of 0 indicates that an event is impossible, while a probability of 1 indicates that an event is certain to occur. For example, the probability of rolling a 7 on a fair six-sided die is 0, while the probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6.
Probabilities can also be expressed as percentages, with a probability of 0.5 (or 50%) indicating an even chance of an event occurring.
A) Pull more than 2 times as many green cubes as blue cubes:
Since there are only 2 blue cubes in the bag and 5 green cubes, it is highly unlikely that you would pull more than 2 times as many green cubes as blue cubes in 100 draws. Therefore, this option is unlikely.
B) Pull a green cube 50 times:
There are 5 green cubes in the bag, so it is possible to pull a green cube 50 times in 100 draws. Therefore, this option is possible.
C) Pull a blue cube 20 times:
There are only 2 blue cubes in the bag, so it is unlikely that you would pull a blue cube 20 times in 100 draws. Therefore, this option is unlikely.
D) Pull more red cubes than green cubes:
There are 3 red cubes and 5 green cubes in the bag, so it is possible to pull more red cubes than green cubes in 100 draws. Therefore, this option is possible.
E) Pull a blue cube 70 times:
Since there are only 2 blue cubes in the bag and you are drawing with replacement, it is highly unlikely that you would pull a blue cube 70 times in 100 draws. Therefore, this option is unlikely.
Therefore, options B and D are possible.
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Find value of X and then Y. Not drawn to scale
Answer:
x=66 and y=63
Step-by-step explanation:
The middle triangle is isosceles
57+57+x=180
114+x=180
x=66
Left triangle is equilateral (all angles =60)
60+57+?=180
117+?=180
?=63
Right triangle is isosceles
?=y
y=63
41 and 51 are two side lengths of a right triangle. The three sides form a Pythagorean triple. Find the value of the third side, x. State whether it is the hyp or a leg.
need statements 1 and 2 answered by Friday March 23, 2023 at 10am
I will give you some intuitive remarks for some inspiration on the proofs.
For the first one, notice that if m divides n then n = pm where p is a integer.
Since n and m are both natural numbers p then must be a natural number as well.
Now we know that basically we want to prove that if a is congruent to b mod n then a is congruent to b mod "a factor of n" (this is cause n = pm).
Tell me if you need more clarification.
For the second proof, I would just draw a Venn diagram and prove that the two intersections cover identical regions.
Anyone Want to Give me 6th Grade Inequalities?
Reward- Brainliest and 10 Tokens
Answer:
3x + 4 < 13
2y - 5 > 7
6n - 1 ≤ 23
8m + 2 ≥ 18
4a - 7 < 5a + 2
9b + 3 > 6b + 10
Step-by-step explanation:
I dunno if this is what you're asking for
Answer:
ok.....
x + 2 < 5
|x - 4| > 4
x + 7 [tex]\geq[/tex] 8
-x < -5
x - 5 < 9
5x + 18 > 2
|3x - 1| < 8
( 1 5/2),(-1/2,-1/4) slope
Answer:
[tex]\text{Slope} \; m = \dfrac{11}{6}[/tex]
Step-by-step explanation:
[tex]m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x}[/tex]
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \dfrac{-1/4 - 5/2}{-1/2 - 1}[/tex]
[tex]m = \dfrac{\dfrac{-11}{4}}{\dfrac{-3}{2}}[/tex]
[tex]m = \dfrac{-11}{4} \times \dfrac{2}{-3}[/tex]
[tex]m = \dfrac{-22}{-12}[/tex]
[tex]m = \dfrac{11}{6}[/tex]
Marissa ate 4 hot dogs every 16 hours. At that rate, how many would she eat in 12 hours?
Answer: 3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
16/4=unit rate =4
1 in 4 hour
3 for 12 hours
im sorry for asking this i forgot to add this
A turtle and a snail are 300 feet apart when they start moving toward
each other. The turtle walks 5 feet per minute, and the snail crawls 1
foot per minute.
(How fast are the turtle and snail approaching each other?)
I need help solving this
The correct answer is sixteen (16).
Polygon EFGH has vertices E(-1.3), F(1,4), G(3,3), and H(0,0). Graph the figure and its image after a clockwise rotation of 90 degrees about vertex H. Then write the coordinates of polygon E' F' G' H'.
The new cοοrdinates οf the image οf the pοlygοn are: E'(0, 1), F(4, 0), G(3, -2) & H(0, 0).
What is a pοlygοn?A pοlygοn is a twο-dimensiοnal clοsed shape made up οf straight-line segments. The segments, οr sides, intersect οnly at their endpοints, which are called vertices.
Tο graph pοlygοn EFGH, we first plοt the given cοοrdinates:
E(-1, 3)
F(1, 4)
G(3, 3)
H(0, 0)
Tο find the image οf the pοlygοn after a clοckwise rοtatiοn οf 90 degrees abοut vertex H, we can use the fοllοwing transfοrmatiοn matrix:
| cοs(-90) -sin(-90) 0 | | x - 0 | | y |
| sin(-90) cοs(-90) 0 | * | y - 0 | = | -x |
| 0 0 1 | | 1 | | 1 |
Simplifying this matrix, we get:
| 0 -1 0 |
| 1 0 0 |
| 0 0 1 |
Tο apply this transfοrmatiοn tο each pοint οf the pοlygοn, we can multiply the matrix by the cοlumn vectοr (x, y, 1) fοr each pοint.
Therefοre, the new cοοrdinates οf the image οf the pοlygοn are:
E'(0, 1)
F(4, 0)
G(3, -2)
H(0, 0)
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Graphical Misrepresentations of Data – Warning!
Graph can be misleading! Distorting the truth unfortunately does happen within the field of Statistics through distorting data. Some graphs are misleading and other deceive! The misrepresentation may be intentional or purely innocent on the behalf of the researcher/statistician.
When reviewing graphs, it is important to have an eye for characteristics that may manipulate the facts and in turn the data. For example, incorrect depiction of size of graphics.
Please review a few graphs from a local newspaper, magazine or professional journal. Please describe the graph, provide the source and why you chose this particular one.
Please provide 3 to 4 characteristics of a good graph.
Your statements should be:
Substantive and clearly articulated
Professionally written
Demonstrate knowledge of the content
Contribute to the discussion (possibly with a question) to further increase and deepen the understanding of the topics being discussed
You may use supporting articles, textbook references, and even personal experience (as long as it relevant and empirical in nature).
On the graph we have to ensure that the data points are seen, the text and design on the graph are meaningful along with keeping the alignment on a common scale.
What is a graph?The graph only presents the facts in an organised manner. It facilitates our understanding of the facts. The numerical information gleaned via observation is referred to as data.
For the given question,
In a graph the data should be shown clearly.
Now, displaying the data clearly entails making sure the data points are visible while also including relevant language on the graph itself.
Designing of the graph should be in a simple manner.
The alignment to be used has to be on a common scale.
The visual encoding has to be transparent.
Use of standard-forms are welcomed.
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State the principle of mathematical induction
The principle of mathematical induction is a method of proof used in mathematics to prove that a statement is true for all natural numbers.
It is based on the idea that if the statement is true for one number, then it can be used to prove that it is true for the next number. Mathematical induction can be expressed mathematically as follows:
Let P(n) be a statement involving an integer n
Base Case: P(m) is true for some m
Induction Hypothesis: Assume P(k) is true for some k>m.
Induction Step: Show that P(k+1) is true.
Therefore, P(n) is true for all n>m
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What is the measure of
Answer:
∠w = 50°
∠y = 130°
Step-by-step explanation:
Angles ∠w and ∠y are supplementary angles, which means their sum is 180.
4x + 6 + 12x - 2 = 180
Add like terms16x + 4 = 180
Subtract 4 from both sides16x = 176
Divide both sides by 16x = 11
To find the angle measures replace x with 11
∠w = 4x + 6
∠w = 4*11 + 6
∠w = 50°
Now, ∠y
∠y = 12x - 2
∠y = 12*11 - 2
∠y = 130°
A car salesman was able to sell a car for 12,500, earning a commission of 5%. How much was his commission.
Answer:
12,500 is 100%, or 1 in decimal terms. We calculate 5% by multiplying 12500 by 0.05.
This gives us a total of £625
Step-by-step explanation:
Brainliest pls
Tim and Al are brick makers. T can make an outdoor grill in ll day. If Al helps they can do it in 3 days. How long would it take Al to build the grill alone?
Answer:
It would take Al 7.5 days to build the grill alone.
Step-by-step explanation: Since Tim and Al are bricklayers, and Tim can construct an outdoor grill in 5 days, and if Al helps Tim, they can build it in only 3 days, to determine how long would it take Al to build the grill alone should be done the following calculation:
1/5 + X = 1/3
0.20 + X = 0.333
X = 0.333 - 0.20
X = 0.1333333
X = 1 / 7.5
Therefore it would take Al 7.5 days to build the grill alone.
Circle p has a radius of 8 inches
The area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.
How to evaluate for the area of the sector.The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.
the angle of the sector = 70°
the radius = 8 ft
hence the area of the sector is calculated as follows:
(70°/360°) × 22/7 × 8 in × 8 in
we simplify by division and multiplication
1/36 × 22 × 64 in²
352 in²/9
39.1111 in²
Therefore, the area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.
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20 POINTS ANSWER FOR BRAINLIST
Multiply. Final answer needs to be in Standard
Form. Two different methods need to be shown.
You can choose between Area Model, Distributive
Property and FOIL.
(3x − 4)(2x − 1)
Answer:
Method 1: Distributive Property
To multiply (3x - 4) and (2x - 1), we can use the distributive property:
(3x - 4)(2x - 1) = 3x(2x) + 3x(-1) - 4(2x) - 4(-1)
= 6x^2 - 3x - 8x + 4
= 6x^2 - 11x + 4
Therefore, the final answer in standard form is 6x^2 - 11x + 4.
Method 2: FOIL
To multiply (3x - 4) and (2x - 1), we can use the FOIL method:
(3x - 4)(2x - 1) = 3x(2x) + 3x(-1) - 4(2x) - 4(-1)
= 6x^2 - 3x - 8x + 4
= 6x^2 - 11x + 4
Therefore, the final answer in standard form is 6x^2 - 11x + 4.
100 Points!!! Algebra question, multiple choice. Only looking for an answer to #8. Find the maximum value of f(x,y)=3x+y for the feasible region. Photo attached. Thank you!
Answer:
+4
Step-by-step explanation:
F(x,y) = 3x+y and y <= -2x+ 4 sub in for 'y'
= 3x + (-2x+4)
= x + 4
If you look at the graph for y <= - 2x+4 ( see below)
you will see that the domain (x values ) can only go from 0 to 4 and the max value is +4 ( rememeber too that y is restricted to >= 0 as is x )
Consider the table shown at left . What is the value of g( f ( -1) )
Answer:
4
Step-by-step explanation:
f(-1) = 2
g(2)= 4
Jeremy sees a jacket that he wants that is on sale for $44.95. The original price was
$68.49. Estimate how much Jeremy can save by buying the jacket on sale. (1pt)
Answer:
$25
Step-by-step explanation:
You round 44.95 to 45 and 68.49 to 70. 70 - 45 = 25.
Find the mean of the data set. 3, 22, 0, 15, 9, 23
Answer:
12
Step-by-step explanation:
Mean = 3+22+0+15+9+23=72
72÷6 =12
In a right triangle, sin (9x - 4)° = cos (10x - 1)°. Find the larger of the triangle's
two acute angles.
The larger angle of the right triangle is 139 degrees.
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle. The third side is called the hypotenuse, which is the longest side of all three sides.
The three sides of the right triangle are related to each other. This relationship is explained by Pythagoras theorem
In a right triangle, one of the angles is 90 degrees. Let x be the measure of the other acute angle. Then we have:
sin x = cos (90° - x)
We can use this identity to rewrite the given equation as:
sin (9x - 4)° = sin (90° - (10x - 1)°)
Using the identity sin (90° - θ) = cos θ, we can simplify this equation to:
sin (9x - 4)° = cos (10x - 1)°
sin (9x - 4)° = sin ((90°) - (10x - 1)°)
sin (9x - 4)° = sin (10x - 91)°
Since sin θ = sin (180° - θ), we have:
9x - 4 = 180° - (10x - 91)°
9x - 4 = 271° - 10x
Simplifying and solving for x, we get:
19x = 275
x = 275/19
Now, the larger angle of the right triangle is either 9x - 4 or 10x - 1, depending on which is larger. We can calculate both angles and compare them:
9x - 4 = 9(275/19) - 4 = 121°
10x - 1 = 10(275/19) - 1 = 139°
Therefore, the larger angle of the right triangle is 139 degrees.
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