Answer:
say there are 2 colors, it is 50/50.
if there are 3 it would be a 1/3. 4 colors would be 1/4. now multiply your probability by two. i.e: 1/4 ×2 = 2/8
Please help I don’t understand:(
First of all remember that all triangles are always equal to 180 degrees from that we can figure out that x is is 70 because 30+80+70=180. z would be 40 because it is parallel to 40 and therefore equal to it. y is 100 because 40+40+100=180. Recap:
x: 70
z: 40
y: 100
help pls i’m so confused !!
Answer: it’s 25
Step-by-step explanation:
15 +10
evaluate the iterated integral. 1 0 s6 cos(s7) dt ds 0
The value of the evaluated iterated integral is 0.1202.
As per the given data the iterated integral is [tex]I & =\int_0^1 \int_0^{s^6} \cos \left(s^7\right) d t d s[/tex].
Here we have to evaluate the given iterated integral.
The definite integral of a real-valued function f(x) with respect to a real variable x on an interval [a, b] is expressed as[tex]$\int_a^b f(x) d x$[/tex] = F(b) - F(a)
Here,
[tex]$\int=$[/tex] Integration symbol
a = Lower limit
b = Upper limit
f(x) = Integrand
dx = Integrating agent
Thus, [tex]$\int a b f(x) d x$[/tex] is read as the definite integral of f(x) with respect to d x from a to b.
Indefinite integrals are implemented when the boundaries of the integrand are not specified.
[tex]I & =\int_0^1 \int_0^{s^6} \cos \left(s^7\right) d t d s[/tex]
Integrate the given iterated integral.
We get:
[tex]& =\int_0^1 \cos \left(s^7\right)\left(\int_0^{s^6} d t\right) d s[/tex]
[tex]& =\int_0^1 \cos \left(s^7\right) \times[t]_0^{s^6} d s . \\[/tex]
[tex]& =\int_0^1 \cos \left(s^7\right) \times\left(s^6-0\right) d s . \\[/tex]
[tex]& =\int_0^1 s^6 \cos \left(s^7\right) d s[/tex]
Say [tex]s^7=t[/tex] when s = 0
[tex]\Rightarrow \frac{d t}{d s}=7 s^6 \quad$[/tex] t = 0
[tex]\Rightarrow \frac{d t}{7}=s^6 d s[/tex] when s = 1..... t = 1
Replace the assumed terms.
Then we get:
[tex]$I=\int_0^1 \cos (t) \frac{d t}{7}$[/tex]
[tex]$=\frac{1}{7} \int_0^1 \cos (t) d t$[/tex]
[tex]$=\frac{1}{7}[\sin (t)]_0^1=\frac{1}{7}[\sin (1)-\sin (0)]$[/tex]
[tex]=\frac{\sin (1)}{7}$[/tex]
[tex]\int_0^1 \int_0^{s^6} \cos \left(s^7\right) d t d s[/tex] = 0.1202
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Helppppllp plsssssssss
ok oooooooooooooooooo oooooooooooooooooo oooooooooooooooooo oooooooooooooooooo oooooooooooooooooo oooooooooooooooooo oooooooooooooooooo oooooooooooooooooo
What is the slope of the line that contains the points (2, −7) and (−1, 5)?
−4
negative one fourth
one fourth
4
the slope is -4
hope this helps!!
Answer:
the slope is -4
Step-by-step explanation:
HELP PLEASE
Solve the right triangle if the hypotenuse is 5 and one acute angle is 34°. Round answers to two decimal places.
i. α = 56°
ii. adj = 4.1
iii. opp = 2.79
What is the right angle triangle?We have to recall that what makes the right angle triangle unique is the fact that one of the angles that we find in the triangle is 90 degrees. We have to recall that the sum of the angles that we have in a triangle is 180°.
Hence we have;
α = 180 - (90 + 34)
α = 56°
Then;
Cos 34 = adj/5
adj = 5 cos 34
= 4.1
Sin 34 = opp/5
opp = 5 * sin 34
= 2.79
These are the parts of the right angled triangle required.
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x is a normally distributed random variable with a mean of 5 and a variance of 4
The probability for possibilities of x between P(X>4) and P(6.72<X<10.16) is 0.5987 and 0.2351
X is N(5, 16)
means that, Z=(x-mean)/√variance = (x-5)/√4
=(x-5)/2
that is, Z is standard normal.
Then, by symmetry of the standard normal curve,
P(X>4)=P(X−5>4−5)
=P(X−54>4−54)
= P(Z>−14)
=P(Z>−.25)
=P(Z<.25)
= 0.5987.
Similarly
P(6.72<X<10.16)
= P(6.72−5<X−5<10.16−5)
=P(6.72−54<10.16−54)
=P(0.43<Z<1.29)
=P(Z<1.29)−P(Z<.43)
=.9015−.6664
= 0.2351.
Therefore, The probability for possibilities of x between P(X>4) and P(6.72<X<10.16) is 0.5987 and 0.2351
Complete question - X is a normal random variable with mean=5 and variance=4 What are the possibilities for P(X>4) and P(6.72<X<10.16)?
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Suppose that F(x) = x² and G(x)
compares the graph of G(x) with the graph of F(x)?
-(x+4)². Which statement best
==
c.The graph of G(x) is the graph of F(x) stretched vertically flipped over the x axis and shifted 4 units to the left.
What is graph?A diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair is known as graph.
Here,
Given :
Suppose that F(x) = x² and G(x)
compares the graph of G(x) with the graph of F(x)
-(x+4)².
Thus , the solution by observing the given information is:
So, it is
C.The graph of G(x) is the graph of F(x) stretched vertically flipped over the x axis and shifted 4 units to the left.
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Theresa is an article writer who is paid 3 cents per word that she writes. If it takes her 2 hours to write a 3,000-word article, what is her rate of payment dollars per hour?
By taking the quotient between the total amount that she makes and the time of work, we will see that the rate of payment is $45 per hour.
What is her rate of payment dollars per hour?The rate of payment is equal to the quotient between the amount she is paid and the time in which she works.
We know that Theresa wins $0.03 per word, and she can write 3000 words in 2 hours.
Then the amount that she wins is:
$0.03*3000 = $90
Then the rate of payment is:
$90/2 hours = $45 per hour.
Theresa wins 45 dollars per hour.
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What is the experimental probability of rolling the given result? a number more than 3 a. 0.88 c. 0.56 b. 0.34 d. 0.44
The the experimental probability of rolling the given result that a number more than 3 is D. 0.44
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
The following observations can be gotten based on the information:
1 = 32
2 = 36
3 = 44
4 = 20
5 = 30
6 = 38
Therefore, probability = sum of observation (3,4 and 5) / total no of observation
= 20 + 30+ 38 / 200
= 88 / 200
= 0.44
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A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a number more than 3 a. 0.88 c. 0.56 b. 0.34 d. 0.44 Please select the best answer from the choices provided A B C D
Which fraction is equivalent to the decimal 0.15¯¯¯¯?
Answer:
3/20.
Step-by-step explanation:
Question 2
Which of the following statements is correct based on the number line below?
The number line showing numbers from -8 to 8 in increments of 2, has point P at 0, and point Q is at 8.
A
68−−√ is to the right of Point Q because it is less than 8.
B
68−−√ is between points P and Q because it is less than 0 and greater than 8.
C
68−−√ is between points P and Q because it is greater than 0 and less than 8.
D
68−−√ is to the right of Point Q because it is greater than 8.
The correct statement based on the number line is,
⇒ √68 is to the right of Point Q because it is greater than 8.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The number line showing numbers from -8 to 8 in increments of 2, has point P at 0, and point Q is at 8.
Now, We know that;
⇒ √68 = 8.24
And,
⇒ 8.24 > 8
Hence, √68 is to the right of Point Q because it is greater than 8.
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What is the slope of the following equation? y = −1/2x − 3 HURRRYYY
Answer: -1/2
Step-by-step explanation:
The APR on your credit card is current 31.2%. What is your monthly periodic rate?
If the APR on your credit card is current 31.2%. your monthly periodic rate is: 2.6%.
How to find the monthly periodic rate?Using this formula to determine the monthly periodic rate
Monthly periodic rate = APR / 12 months
Where:
APR = Annual percentage rate = 31.2% or 0.312
Let plug in the formula
Monthly periodic rate = 0.312/12
Monthly periodic rate = 0.026 or 2.6%
Therefore we can conclude that the monthly periodic rate is 2.6%.
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After one rotation of the wheel, how many inches further has the truck with the larger tires traveled
than the truck with the factory-installed (old) tires?
The distance travelled by larger circular wheel is 2π(R-r) more than the distance travelled by old tires.
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
and Area of circle = πr²
Circumference of circle=2πr
Now
let radius of old tires =r
radius of new tires =R
distance travelled by new tire in one rotation= 2πR
distance travelled by old tire=2πr
Hence,
The distance travelled by larger circular wheel is 2π(R-r) more than the distance travelled by old tires.
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Consider a point picked uniformly at random from the area inside one of the following shapes: In each case find the density function of the x coordinate.
The solution's f[x] means f(x)=0 when x is not in [−2,2]
The answer to [-2,2] is: f(x)dx=P(X∈dx)=2∗(2−|x|)dx4∗(12∗2∗2)=14(2−|x|)dx
Consequently, f(x)=14(2|x|) on [2,2]
and if not, f(x)=0
For [2,0], it is 14(2+x), while for [2,0], it is 14(2-x).
I discovered a formula for the uniform distribution U=X for (a,b), however, I don't believe this is right since the answer would then be X+24 without X being an absolute value. It also doesn't apply to other questions of a similar nature.
Please assist; there is a very strange exercise question in the textbook that we are unable to solve on our own. I have no idea how they obtained the 2(2|x|)dx4(12|2]).
Furthermore, f(x) may indicate f(x)=0 when x is not in [2,2].
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The Full question would be:
Consider a point picked uniformly at random from the area inside the shape with the coordinates (-2,0), (0,2), (2,0), (0,-2).
Hurry - Please Help = 2 questions.
Answer:
3. f(3) = 16
4. h(3) = 4
Step-by-step explanation:
3.
f(x) = x² + 7
f(3) = 3² + 7
f(3) = 16
4.
h(x) = 12/x
h(3) = 12/3
h(3) = 4
Within a school district, students were randomly assigned to one of two Math teachers - Mrs. Smith and Mrs. Jones. After the assignment, Mrs. Smith had 30 students, and Mrs. Jones had 25 students. At the end of the year, each class took the same standardized test. Mrs. Smith's students had an average test score of 78, with a standard deviation of 10; and Mrs. Jones' students had an average test score of 85, with a standard deviation of 15. Test the hypothesis that Mrs. Smith and Mrs. Jones are equally effective teachers.
There is enough evidence to conclude that Mrs. Smith and Mrs. Jones are not equally effective teachers.
What are the hypothesis tested?At the null hypothesis, it is tested if the means are the same, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if the means are different, hence:
[tex]H_0: \mu_1 - \mu_2 \neq 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, the mean and the standard error are given as follows:
Mrs. Smith: [tex]\mu = 78, \sigma = \frac{10}{\sqrt{30}} = 1.8257[/tex]Mrs. Jones: [tex]\mu = 85, \sigma = \sqrt{15}{\sqrt{25}} = 3[/tex]Hence the mean and the standard error for the distribution of differences are given as follows:
[tex]\mu = 78 - 85 = -7[/tex][tex]\sigma = \sqrt{1.8257^2 + 3^2} = 3.5119[/tex]What are the test statistic and the conclusion?The test statistic is given by the division of the mean by the standard error of the distribution of differences, hence:
z = -7/3.5119
z = -1.99.
We have a two-tailed test, as we are testing if the mean is different of a value.
Using a z-distribution calculator, with z = -1.99, and a two-tailed test, the p-value is given as follows:
0.0466.
As the p-value is less than the standard significance level of 0.05, there is enough evidence to conclude that Mrs. Smith and Mrs. Jones are not equally effective teachers.
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Round the answer to the correct number of significant figures.
28.23
3.49
+ 5.3 = 13.389
Answer:
13.389 = 13.4
A group of 25 employees want to go out for a group dinner.
18 employees want to go to Restaurant A.
7 employees want to go to Restaurant B.
Using the concept of ratio and proportions, the number of employees in A and B restaurant are 0.72 and 0.28
The relationship between two amounts of the same kind or that are linked is known as a proportion. It is used to compare the magnitude of one quantity to another and is typically expressed as a ratio or fraction. A percentage in mathematics is an equation proving the equality of two ratios.
In this problem, we have a total of 25 employees.
18 out of the 25 employees what to go to restaurant A.
The proportion of this is calculated as
18 / 25 = 0.72
Also, we have 7 employees that want to go to restaurant B
This is calculated as;
7 / 25 = 0.28
The proportion of employees that want to go to restaurant A and B are 0.72 and 0.28 respectively
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Complete Question:
A group of 25 employees want to go out for a group dinner.
18 employees want to go to Restaurant A.
7 employees want to go to Restaurant B.
Use this information to answer the questions below.
What is the proportion of employees who want to Restaurant A and B
can you please help me with this question
The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 15° at the centre of the polygon.
How many sides does the polygon have?
The number of sides that the polygon has is given as follows:
24 sides.
How to obtain the number of sides of the polygon?A regular polygon is a polygon in which all side lengths have the same measure, hence all the internal angles of the polygon will also have the same measure.
The sum of the internal angle measures of a polygon of n sides is given as follows:
S(n) = (n - 2) x 180º.
For a regular polygon of n sides, with n angles of equal measure, the measure of each interior angle is given as follows:
I = (n - 2) x 180/n.
In the case of the center of the polygon, the sum of the internal angles is of 360º, hence the number of sides n can be obtained as follows:
n = 360/I.
For this problem, the internal angle measure is given as follows:
I = 15º.
Hence the number of sides is calculated as follows:
n = 360/15
n = 24 sides.
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Every day your heart creates enough energy to drive a truck for 32 kilometers. If you combined the energy created all the students in your math class for a week, how many meters could the truck drive?
PLEASE SHOW FULL WORK:>
Help pls I’m in trouble so help
The value of p and w in the triangle are 6 units and 13√3 units respectively
How to solve for p and w in the triangle?
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
In the triangle, we have angles of 30° and 90°
Using trigonometric ratios:
sin 30° = (2p+1)/(6p-10) [sin = opp/hyp]
1/2 = (2p+1)/(6p-10)
1/2(6p-10) = (2p+1)
3p -5 = 2p + 1
3p -2p = 1+5
p = 6 units
cos 30° = w/(6p-10) [cos = adj/hyp]
(√3)/2 = w/(6p-10)
(√3)/2 = w/((6×6) -10)
(√3)/2 = w/(36 -10)
(√3)/2 = w/26
w = (√3)/2 × 26
w = 13√3 units
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write the expanded form for 0.064
Answer: 0.06 + 0.004
 a surveyor found that the boundary between two farms is 4.5 miles how many feet is a boundary
Answer: 23,760 feet
Step-by-step explanation:
1 mile = 5280 feet
4.5 * 5280 = 23,760
pls solve this question
The values of u and v in the table are directly proportional to each other with a constant k is 3.
What is direct proportion?When x increases, y increases; when x decreases, y decreases.
The opposite of direct is indirect. When x rises, y falls; when x falls, y rises.
If you said y is directly proportional to x,
it would be y/x=k or y=kx.
Here given that,
u = 0.25, 0.3, 0.1
v = 0.75, 0.9, 0.3
So here v = 3u
That is v = 3 x 0.25
v = 0.75
Hence u and v are directly proportional with a constant k = 3
When v = 2/5
To find u,
v = 3u
2/5 = 3u
u = 2/15
When u = 3/7
Then v = 3 x 3/7
v = 9/7
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A 15N birthday cake remains sitting on a table with two collapsed legs after someone fell into it.
The accident has left the table inclined above the horizontal 23°. Find the X and Y components
of the cake's weight.
Answer: To find the X and Y components of the 15N weight of the birthday cake, we can use trigonometry. We know that the angle of inclination of the table is 23° above the horizontal.
We can use the tangent function to find the X component of the weight, which is the component that is parallel to the table.
X = 15N * tangent (23°)
We can use the sine function to find the Y component of the weight, which is the component that is perpendicular to the table.
Y = 15N * sine (23°)
By applying these formulas and plugging in the angle and weight we can find the respective X and Y components.
Step-by-step explanation:
Explain in your own words:
What is a linear function?
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
28,16
The two factors of the first number 28 that their sum is will be equal to the second number 16 are 2 and 14.
Factor of a numberFactor is a number that divides another number without a remainder. That is if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product.
The first number 28 have the following factors:
1, 2, 4, 7, 14, and 28.
the factors 2 and 14 are the factors we need because;
2 × 14 = 28
2 + 14 = 16
Therefore, 2 and 14 are the two factors of 28 that their product is the first number 28 and their sum is the second number 16.
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