The probability that Jenny randomly selected a dark green jacket from her green jackets is ²/₅.
What is the probability?Probability refers to the likelihood, chance, or possibility of an expected occurrence happening out of many possible occurrences, events, or successes.
Probability is a fractional value that mostly lies between one and zero unless the degree of certainty or uncertainty is 100%.
The number of light green jackets = 3
The number of dark green jackets = 2
The total number of green jackets = 5
The probability of randomly selecting a dark green jacket = the number of dark green jackets divided by the total number of green jackets.
= ²/₅
Thus, we can conclude that Jenny's likelihood of choosing a dark green jacket is ²/₅.
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What is the circumference of this circle? Use π ≈ 3.14. Round your answer to the nearest tenth of a centimeter.
the diameter is 13
The circumference of the given circle is 41 cm
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°
Given that, a circle, with diameter, 13 cm, we need to find it circumference.
We know that, the circumference of a circle is given by,
Circumference of the circle = π × diameter
= 3.14 × 13
= 40.82
≈ 41 cm
Hence, the circumference of the given circle is 41 cm
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Please help me with this math problem (image below)
Answer:
Option B.
Step-by-step explanation:
Obvious. Lets explain:
Option A: It's pretty ease to do. You just need 2 triangles to make a parallelogram, and that's that.
Option B: How can you make a rectangle from triangles-???
Option C: You might think I am wrong, but I am right. Get 6 triangles, then plato, you have a whole hexagon!
Option D: You probably already know this...but you just need three triangles.
It's correct on every school thing.
Option B is your answer!What is the slope of the line through the points (1,5) and (-2,-4)?
a) o'z
b) 0-3
c) O-1
d) 0-13
e) O 3
f) None of the above.
Question 8
Answer:
slope = 3
Step-by-step explanation:
Use the coordinates of the points to determine the slope.
Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.
Here is one solution to the puzzle:
Squares: 2, 8, 16
Circles: 5, 7, 14
Total: 26
You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.
What are even and odd numbers?An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.
Therefore, the correct answer is as given above
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CAN SOMEONE HELP THIS IS DUE IN HOURS
Answer:
-2 cannot be an answer in the context of this question
Step-by-step explanation:
Because the shapes are physical objects, they can NOT have a negative answer as the area. If just the rectangle had -2 as a solution, it would still be viable since the end result would still be positive but since x is also the measure of the square, it is not viable. It is not possible, in this context, to have a negative solution because its a shape's area.
The two-way table shows the enrollment in language classes at Carson Middle School. Which of the following are valid conclusions about the data? Select all that apply. Enrolled in French Not Enrolled in French Total Enrolled in Spanish Not Enrolled in Spanish 30 20 50 65 5 70 A) More than half of the students are enrolled in French. Total 95 25 120 B) More than half of the students are not enrolled in French or Spanish. C) Students are more likely to be enrolled in Spanish than not in Spanish. D) Students that are enrolled in Spanish are likely to be enrolled in French. E) Of the students that are enrolled in French, fewer than half of them are also enrolled in Spanish.
The options that are valid conclusions about the data include:
More than half of the students are not enrolled in French or Spanish.Of the students that are enrolled in French, fewer than half of them are also enrolled in Spanish.How to explain the informationMore than half of the students are not enrolled in French or Spanish. This conclusion is valid, as 25 out of 120 students are not enrolled in either French or Spanish, and 25 is more than half of 120.
Of the students that are enrolled in French, fewer than half of them are also enrolled in Spanish. This conclusion is valid, as only 30 out of 50 students enrolled in French are also enrolled in Spanish, which is less than half.
Therefore, the valid conclusions are B and E.
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2^(2t)-12(2^(t))+32=0
Answer:
t = 2 and t = 3.
Step-by-step explanation:
To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:
2^t = 4Taking the logarithm base 2 of both sides:
t = log2(4)
t = 2For u = 8:
2^t = 8Taking the logarithm base 2 of both sides:
t = log2(8)
t = 3
Find 14/15−1/3. Write your answer as a fraction in simplest form.
Answer:
9/15
Step-by-step explanation:
so to get a common denominator you'd multiple 1/3(5) so you'd get 5/15 and 14-5 is 9 so you'd get 9/15
Cuando es 2+2?solo estoy viendo que tan certeros son y aparte son puntos gratis
Answer:
4
Step-by-step explanation:
Answer:
four (4) gracias!!!!!!
An identity thief watches someone enter a 4-digit PIN and manages to see the first two digits. If the thief tries guessing
the PIN, how many possibilities would there be?
a. 81
b. 90
C. 100
d. 200
Please select the best answer from the choices provided
Answer:
100
Step-by-step explanation:
i dont know if im right though i hope this helps ^^
Answer:
100 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Solve for T.
need help fast please!!!
Answer:
\( \rm T = \dfrac{6 B + 4}{R} \)
Step-by-step explanation:
\( \rm Solve \: for \: T: \\ \rm \longrightarrow B = \dfrac{R T - 4}{6} \\ \\ \rm B = \dfrac{R T - 4}{6} \: is \: equivalent \: to \: \dfrac{R T - 4}{6} = B : \\ \rm \longrightarrow \dfrac{R T - 4}{6} = B \\ \\ \rm Multiply \: both \: sides \: by \: 6: \\ \rm \longrightarrow R T - 4 = 6 B \\ \\ \rm Add \: 4 \: to \: both \: sides: \\ \rm \longrightarrow R T = 6 B + 4 \\ \\ \rm Divide \: both \: sides \: by \: R: \\
\rm \longrightarrow T = \dfrac{6 B + 4}{R} \)
Identify the steps to find the value of the inverse ( Please show your work thank you) ↓
The value of the inverse of the equation is this: x³ -3 = y
How to find the inverse of the equationTo find the inverse of the equation follow these steps:
1. Replace H(x) with y.
y = (x + 4)³ - 1
2. Interchange the values of X and Y.
X = (y + 4)³ - 1
3. Find the cube root of both sides
x³ = y + 4 - 1
4. Find the value of y
x³ - 4 + 1 = y
x³ -3 = y
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Triangles M and N are similar.the ratio of sides N:M is 4:3 .the lengths of triangle M are 12 inches ,18 inches and 24 inches
The perimeter of triangle N is 72 inches.
What is similar triangle?Similar triangles are two triangles that have the same shape, but may differ in size. In other words, their corresponding angles are congruent and their corresponding sides are proportional. This means that if you were to scale one triangle up or down, it would still maintain the same shape as the other triangle.
Here given the triangles M and N are similar, the ratio of sides N:M is 4:3
We can say that M and N with constant term x is, (by ratio proportion rule)
M = 3x and N = 4x and
Given the lengths of triangle M are 12 inches, 18 inches and 24 inches
for triangle M = 3x, (Using above ratio proportion rule)
3x = 12 inches 3x = 18 inches 3x = 24 inches
x = 4 x = 6 x = 8
Similarly, for similar triangle N = 4x, (Using above ratio proportion rule) put all values of x = 4, 6, 8
for x =4 for x =6 for x =8
4x = 4×4 4x = 4×6 4x = 4×8
16 inches 24 inches 32 inches
Length of triangle N is 16 inches, 24 inches and 32 inches
Perimeter of triangle N = 16+24+32 = 72 inches
Therefore, the Perimeter of triangle N is 72 inches.
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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
anyone able to answer this for me rq rq? :( spending my last chunk of points of this
Answer:
Part A: y = -5 (x)(x-4)
Part B: 8.75m
Step-by-step explanation:
Part A:
y = a (x-4)(x-5)
y = a(x-0)(x-4)
20 = a(2-0)(2-4)
20 = a (2)(-2)
20/-4 = -4a/-4
a = -5
∴ y = -5 (x)(x-4)
Part B:
y = -5(0.5)(0.5-4)
= 8.75m
~Lenvy~
In which year will 67% of babies be born out of wedlock?
Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .
What year will 67% of babies be born to unmarried parents?In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.
If the trend continues, the number of years till 67% of children born out of wedlock will be:
= (67% - 28%) / 0.6%
= 65 years
The year will be:
= 1990 + 65
= 2055
The first part of the question is:
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.
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in an 16 ounce bag there are 24 pretzals. how many pretzals will be in a 5 ounce bag
Answer:
about 7 pretzels
7.5 pretzels
Step-by-step explanation:
24 pretzels / 16 ounces = x / 5 oz
solve for x:
x = 5 oz * (24 pretzels / 16 oz)
oz cancels
x = 7.5 pretzels
7.5 pretzels, or roughly 7 pretzels
Find an equation of the line having the given slope and containing the given point.
Slope is -2
Line through (5, -6)
Answer:
y = -2x + 4
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of -2 and passes through (5, -6).
We want to write the equation of the line.
There are three ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b the value of y at the y-intercept.Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1,y_1)\) is a point.Any of these forms will work, however let's put it into slope-intercept form as that is the most common way.
SolvingAs we are already given the slope, we can immediately plug that into the equation.
Substitute m with -2.
y = -2x + b
Now, we need to solve for b.
As the equation passes through (5, -6), we can use its values to help solve for b.
Substitute 5 as x and -6 as y.
-6 = -2(5) + b
Multiply.
-6 = -10 + b
Add 10 to both sides.
4 = b
Substitute 4 as b.
y = -2x + 4
Use this table to answer the question. Round to the nearest percent.
Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730
What percent of Planes are Green?
There are 29% of the Planes are Green.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Total number of green planes = 250
The total number of green vehicles = 870
The percent of green planes = (number of green planes/number of total green vehicles) x 100
The percent of green planes = (250/870) x 100
The percent of green planes = 0.2873 x 100
The percent of green planes = 28.73
Round to the nearest percent, and we get
The percent of green planes = 29%
Thus, 29% of Planes are Green.
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How do you solve for incenter?
The approach for solving for incenter.
Incenter:
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.
Formula for solving incenter:
Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.
and a,b,c are lengths of sides.
I = ((ax1+bx2+x3 / a+b+c , ay1+by2+cy3 / a+b+c))
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The perimeter of a rectangle is
30m. The length of the rectangle is
3 m more than twice the width. Find
the dimensions of the rectangle
a. 3m x 12m
b 4m x 11m
c 8m x 7m
d 6m x 9m
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
Defining the variables, let
Width = xLength = 2x+3 (3 more than twice the width)
Plugging everything into the equation
30= 2(x) + 2(2x+3) using the distributive property,30=2x+4x+6 combining like terms30=6x+6 subtracting 6 from both sides,24=6x divide both sides by 64=x This means that the width is 4 m.To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved forL=2(4)+3L=8+3 = 11 m
So the dimensions of the rectangle are width is 4 m and length is 11 m.
here are The answer choices for question 16
Correct option is C, From the given graph, the difference between minimum and maximum height of the wheel is 140 feet.
What is a graph, exactly?A graph is an ordered visual representation of facts or values in mathematics.
The points on a graph are widely used to depict the relationships between two or more objects.
Based on the data supplied below, we may, for example, construct a graph below that displays the types and quantities of school supplies used by students in a class. Each supply is first counted, and the data is then shown in a table with distinct colors in a logical order.
A vertical and horizontal line joining at the origin produces a simple two-dimensional graph. The x axis is horizontal, and the y axis is vertical. The x and y axes in simple line graphs are subdivided into uniformly spaced subdivisions and given integer values.
A vertical and horizontal line joining at the origin produces a simple two-dimensional graph. The x axis is horizontal, and the y axis is vertical. The x and y axes in simple line graphs are subdivided into uniformly spaced subdivisions and given integer values.
here,
The maximum height of the graph is 150 feet,
The minimum height of the graph is 10 feet,
the difference between the height of both is 150 - 10 = 140 feet
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Complete question -
What's the perimeter of triangle ABC
Answer:
\(\Large \boxed{12.9}\)
Step-by-step explanation:
BC = B’C’
BC = 2
The perimeter of a triangle is the sum of all its sides.
\(\sf \Rightarrow 5.1+5.8+2 \\\\\\ \Rightarrow 12.9\)
The perimeter of the triangle is 12.9.
Answer:
12.9 is the perimeter
Step-by-step explanation:
BC is 2 since B’C’ is equal to BC.
Add all sides to get perimeter.
5.1+5.8+2=12.9
You’re welcome.
- bananamilkshake43
PLEASE HELP ASAP!!!! FULL ANSWERS ONLY!!!!
Blake wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Blake has 950 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write a function for the area A of the enclosure in terms of w . (HINT: First write one equation with w and l and one equation with w and l and A. Solve for l in the first equation and substitute for l in the other). A ( w ) = ____________
b) What width w would maximize the area? w = __________________ ft
c) What is the maximum area? A = ______________ square feet
Answer:
(a) A(w) = w(950-2w) = 950w-2w^2
(b) w = 237.5
(c) A = 112812.5
Step-by-step explanation:
First of all the maximum area is always a square. You can get the answer first to check your work later.
950/4 = 237.5
One side is not needed so add that length to the non-parallel side.
237.5+237.5=475 feet is the length and 237.5 feet is the width(s)
A=475*237.5
A=112812.5 square feet
Doing the algebra...
P=l+2w
950=l+2w
950-2w=l
A=lw
A=(950-2w)w
A=950w-2w^2
Simplify
4(1 + 9x) thank you
Answer:
4+36x
Step-by-step explanation:
you multiply the number on the outside of the parentheses with the numbers in the inside of the parentheses.
4 times 1 = 4
4 times 9x = 36x
36x+4
T=PV/k, determined P when T=80, V=20 and K= 0.5
We have the following equation:
\(T=\frac{PV}{k}\)since we need P, we must move k and V to the left hand side as
\(P=\frac{k\cdot T}{V}\)By substituting the given values, we get
\(\begin{gathered} P=\frac{(0.5)(80)}{20} \\ P=\frac{40}{20} \\ P=2 \end{gathered}\)that is, P is equal to 2.
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the research and development division of the shoe company claims to have developed a longer lasting product. This new product was worn by 25 individuals and lasted on average for 17 months. The variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. Is the designer's claim of a better shoe supported by the trial results?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 15 \ months\)
The sample size is n = 25
The sample mean is \(\= x = 17 \ months\)
The standard deviation is \(s = 5.5 \ months\)
Let assume the level of significance of this test is \(\alpha = 0.05\)
The null hypothesis is \(H_o : \mu = 15\)
The alternative hypothesis is \(H_a : \mu > 17\)
Generally the degree of freedom is mathematically represented as
\(df = n -1\)
=> \(df = 25 -1\)
=> \(df = 24\)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }\)
=> \(t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }\)
=> \(t = 1.8182\)
Generally from the student t distribution table the probability of obtaining \(t = 1.8182\) to the right of the curve at a degree of freedom of \(df = 24\) is
\(p-value = P(t > 0.18182 ) = 0.4286\)
From the value obtained we see that \(p-value > \alpha\) hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
The mean on a statewide geography test was 74 with a standard deviation of 12. West County sampled the scores of some of its students and reported a mean of 79 with a margin of error of plus or minus 1. 9. To the nearest whole number, how many students were in West County's sample?
There were 124 students in West County's sample.We can use the margin of error formula to determine the sample size:
Margin of error = z*(standard deviation / sqrt(sample size))
where z is the z-score for the desired level of confidence. For a 95% confidence interval, z = 1.96.We are given that the mean of West County's sample was 79 with a margin of error of plus or minus 1.9. Therefore, we can set up the equation:
1.9 = 1.96*(12 / sqrt(n))
where n is the sample size we want to find.
Solving for n, we get:
n = (1.96*12/1.9)^2 ≈ 124
Therefore, to the nearest whole number, there were 124 students in West County's sample.
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Help now fast please
Answer:
3/4 or .75
Step-by-step explanation:
slope = dy/dx
dy = 1 - -2 = 3
dx = 2 - -2 = 4
slope = 3/4
Step-by-step explanation:
(1+2)/(2+2)= 3/4 is the slope
explain how utility could be used in a decision where performance is not measured by monetary value
The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.
The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.
In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.
For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.
Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.
To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.
However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.
In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.
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