Deloria is analyzing the relationships between relative frequencies of nuts.
She has found that the relative frequency of a specific type of nut is 15%, which is calculated by dividing the number of that nut (3) by the total number of nuts (30).
Deloria might be comparing this relative frequency to other types of nuts to determine their prevalence or importance in a given context.
To calculate the relative frequency, we can divide the number of occurrences of the specific nut (3) by the total number of nuts (30):
Relative frequency = (Number of occurrences of specific nut) / (Total number of nuts)
Relative frequency = 3 / 30 = 0.1 = 10%
Therefore, the relative frequency of the specific type of nut is 10%, not 15%. It seems there was an error in the initial statement.
By analyzing relative frequencies, Deloria can compare the prevalence or importance of different types of nuts in a given context.
By calculating and comparing the relative frequencies of different types of nuts, Deloria can gain insights into the distribution and significance of each nut type within the dataset or sample.
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geometry i need help!!
Answer: 130 degrees
Step-by-step explanation:
If we are assuming this is an isosceles trapezoid, then this means angles B and C are congruent.
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Jessica is buying chicken wings and hamburger meat for a party. One bag of chicken wings costs $6. Hamburger meat costs $3 per pound. She must spend no more than $30. She also knows that she needs to buy at least 5 pounds of hamburger meat. Which system of inequalities can be used to determine the number of bags of chicken wings, x, and the number of pounds of hamburger meat, y, that Jessica should buy?(1 point)
Answer:
6x + 3y ≤ 30
y ≥ 5
Step-by-step explanation:
Let
x = number of bags of chicken wings
y = number of pounds of hamburger meat
Cost of one bag of chicken wings = $6
Cost of one pound of Hamburger meat = $3
She must spend no more than $30.
The inequality
6x + 3y ≤ 30
She also knows that she needs to buy at least 5 pounds of hamburger meat.
y ≥ 5
What is the quotient? startfraction n 3 over 2 n minus 6 endfraction divided by startfraction n 3 over 3 n minus 9 endfraction
The quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
How to solve fractionn³ / (2n - 6) ÷ n³ / (3n - 9)
multiply by the reciprocal of n³ / (3n - 9)= n³ / (2n - 6) × 1 / n³ / (3n - 9)
= 2n - 6 / 3n - 9
= 2(n - 3) / 3(n - 3)
= 2/3
Therefore, quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
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Answer:
2/3
Step-by-step explanation:
find an equation of the tangent to the curve at the point corresponding to the given value of the parameter x
The required equation of the tangent of the curve to the given value of the parameter x = tcost , y = tsint for t = π is equal to y = πx - π².
As given in the question,
Given parameter of the tangent to the curve is equal to
x = tcost , y = tsint for t = π
y₁ = πsinπ
= 0
x₁ = πcosπ
= -π
Slope 'm' = dy/dx
dy/dt = sint + tcost
dy/dt at t = π
⇒dy/dt= sinπ + πcosπ
⇒dy/dt = 0 + (-π)
⇒dy/dt = -π
dx/dt = cost -tsint
dx/dt at t = π
⇒dx/dt=cosπ + πsinπ
⇒dx/dt = -1
dy/dx = (dy/dt)/ (dx/dt)
⇒ dy/dx = π
Required equation is :
y - y₁ = m ( x - x₁)
⇒y - 0 = π( x - (-π))
⇒ y = πx + π²
Therefore, the required equation of the tangent for the given parameters is equal to y = πx + π².
The above question is incomplete , the complete question is:
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcost, y=tsint, t=π.
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I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
describe all solutions of ax0 in parametric vector form, where a is row equivalent to the given matrix. |1 -2 -8 3 | |0 1 2 -4| x=x3__+x4__ (Type an integer or fraction for each matrix element.)
The solutions of Ax=0 in parametric vector form:
\(x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)
we have a matrix where A is the row equivalent to that matrix:
\(\left[\begin{array}{cccc}1&3&0&-4\\2&6&0&-8\\\end{array}\right]\)
The given matrix can be written in an Augmented form as:
\(\left[\begin{array}{ccccc}1&3&0&-4&0\\2&6&0&-8&0\\\end{array}\right]\)
Row Reduced Echelon Form can be obtained using the following steps.
Interchanging the rows R₁ and R₂
.\(\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right]\)
Applying the operation R₂-->2R₂-R₁, to make the second.
\(\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right]\) R₂-->2R₂-R₁,
\(\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right]\)
Dividing the first row by 2 to generate 1 at the
\(\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right]\) R₁--->1/2R₁
\(\left[\begin{array}{ccccc}1&3&0&-4&0\\0&0&0&0&0\\\end{array}\right]\)
From here the following equation can be deducted:
x₁+3x₂-4x₄=0
Making the subject of the equation:
x₁=-3x₂+4x₄
Hence, the Ax=0 parametric vector form’s solutions can be written as:
\(X=\left[\begin{array}{c}-3x_2+4x_4&x_2&x_3&x_4\\\\\end{array}\right] \\\\\\=\left[\begin{array}{c}-3x_1&x_2&0&0\\\\\end{array}\right] +\left[\begin{array}{c}0&0&x_3&0\\\\\end{array}\right] +\left[\begin{array}{c}4x_4&0&0&x_4\\\\\end{array}\right] \\\\\\ =x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)
Numerical Result:
\(x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)
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The vertex of the parabola below is at the point (2, 4), and the point (3,6) is
on the parabola. What is the equation of the parabola?
10
(3,6)
(2,4)
-10
10
-10
O A. y=2(x-2)² +4
OB. x= 4(y-3)² +1
O C. y= 6(x-2)2 +4
OD. y=3(x-4)2 +2
← PREVIOUS
The equation of the parabola is y = 2(x - 2)^2 + 4
How to determine the parabola equation?The given parameters are:
Vertex, (h,k) = (2,4)Point (x,y) = (3,6)A parabola is represented as:
y = a(x - h)^2 + k
Substitute (h,k) = (2,4)
y = a(x - 2)^2 + 4
Substitute (x,y) = (3,6)
6 = a(3 - 2)^2 + 4
Evaluate the difference
6 = a(1)^2 + 4
This gives
6 = a + 4
Subtract 4 from both sides
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 4
y = 2(x - 2)^2 + 4
Hence, the equation of the parabola is y = 2(x - 2)^2 + 4
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Calculate (1.11) and (8.2)
Answer:
9.102
Step-by-step explanation:
Assuming this means multiply to each other
1.11 x 8.2 = 9.102
Someone plz help me giving brainliest if 2 people answer
Answer:
8 people
Step-by-step explanation:
4/8 simplifies to 1/2. If there’s 4 fruitcakes, divide each one by 1/2 to get 2. Now you have 8 pieces of fruitcake for 8 people! It’s helpful if you draw it out too
What equations has the steepest graph?
An equation with the steepest graph has the largest absolute value of slope.
The equation with the steepest graph is the equation with the largest absolute value of slope.
A slope is a measure of how steep a line is.
If a line has a positive slope, it is rising to the right.
If a line has a negative slope, it is falling to the right.
If the slope of a line is zero, the line is horizontal.
To multiply the square root of 2 + i and its conjugate, you can use the complex multiplication formula.
(a + bi)(a - bi) = \(a^2 - abi + abi - b^2i^2\)
where the number is √2 + i. Let's do a multiplication with this:
(√2 + i)(√2 - i)
Using the above formula we get:
\((\sqrt{2})^2 - (\sqrt{2})(i ) + (\sqrt{2} )(i) - (i)^2\)
Further simplification:
2 - (√2)(i) + (√2)(i) - (- 1)
Combining similar terms:
2 + 1
results in 3. So (√2 + i)(√2 - i) is 3.
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A triangle is both isosceles and acute. If one angle of the triangle measures 30°, what are the measures of the largest and smallest angles of the triangle? a) largest angle = 87"; smallest angle = 30° b) largest angle = 150°; smallest angle = 75° c) largest angle = 75°; smallest angle = 30° d) largest angle = 165°; smallest angle = 75 e) largest angle = 86°; smallest angle = 30° f) largest angle = 120°; smallest angle = 30°
The only valid solution for a triangle to be both isosceles and acute. is c) largest angle = 75°; smallest angle = 30°.
Since the triangle is isosceles, two of its angles must have the same measure. Let's call this measure "x". Therefore, the other angle of the triangle (the one that measures 30°) must be different from "x".
Since the triangle is also acute, all three of its angles must be less than 90°.
Let's consider two cases:
Case 1: The angle that is different from "x" is smaller than "x". In this case, the smallest angle of the triangle is 30°, and it is equal to the angle that is different from "x". The other two angles are both "x". We know that the sum of the angles of a triangle is 180°, so we can write:
30 + x + x = 180
Simplifying the equation, we get:
2x + 30 = 180
2x = 150
x = 75
Therefore, the largest angle of the triangle is also "x", which is 75°.
Answer: c) largest angle = 75°; smallest angle = 30°
Case 2: The angle that is different from "x" is larger than "x". In this case, the largest angle of the triangle is 90° (because the triangle is acute), and it is equal to the angle that is different from "x". The other two angles are both "x". We know that the sum of the angles of a triangle is 180°, so we can write:
x + x + 90 = 180
Simplifying the equation, we get:
2x = 90
x = 45
However, this solution is not valid because it implies that one angle of the triangle is 90°, which contradicts the fact that the triangle is acute.
Therefore, the only solution is c) largest angle = 75°; smallest angle = 30°.
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For What Values Of X And Y Are The Triangles To The Fight Congruent By HL? X = And Y =
The values of x and y the triangles to the fight congruent are x = 3 and
y = 1.
What is congruent triangles?
Triangles with the same size and shape are said to be congruent. This implies that the corresponding sides and angles are both equal. Without comparing every angle and side of the two triangles, we can determine whether two triangles are congruent.
If given these triangles are congruent then all corresponding side must be equal
As we can see that both triangle are right triangle
Therefore hypotenuse of one triangle equal to another
x+1 = 4y ..... (A)
And lenght ( height) of one must equal to another triangle
x = y +2 .... (B)
therefore
Plug the value of x = y + 2 in equation A
y + 2 + 1 = 4y
3y = 3
y = 1
and x = y+2
x = 1 + 2
x = 3
Hence, the values of x and y the triangles to the fight congruent are
x = 3 and y = 1.
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Complete question:
Complete question is attached below.
in what ways can vertical, horizontal, and oblique asymptotes be identified? use a mathematical example to explain the ways.
A function's behaviour as x approaches positive or negative infinity might reveal vertical, horizontal, and oblique asymptotes. As x approaches a value, vertical asymptotes occur. As x approaches infinity, horizontal asymptotes occur. As x approaches infinity, oblique asymptotes occur.
To identify vertical asymptotes, we examine the behavior of the function as x approaches a particular value. For example, let's consider the function f(x) = 1 / (x - 2). As x approaches 2, the denominator becomes very close to zero, causing the function to approach infinity or negative infinity. Hence, x = 2 is a vertical asymptote.
Horizontal asymptotes are determined by analyzing the behavior of the function as x approaches positive or negative infinity. For instance, let's take the function f(x) = (3x^2 + 2x - 1) / (2x^2 + x + 1). As x approaches infinity or negative infinity, the highest power terms dominate the function. In this case, both the numerator and denominator have the same highest power term (x^2), so the ratio of the coefficients determines the horizontal asymptote. Therefore, the horizontal asymptote for this function is y = 3/2.
Oblique asymptotes occur when the function approaches a non-horizontal line as x approaches positive or negative infinity. Consider the function f(x) = (3x^2 + 2x + 1) / (x + 1). By performing polynomial long division or synthetic division, we can see that the quotient is 3x + 1. As x approaches infinity or negative infinity, the function approaches the line y = 3x + 1. Hence, y = 3x + 1 is an oblique asymptote for this function.
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Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 3y = sin(x).
The constants a and b that satisfy the differential equation y'' + y' − 3y = sin(x) for the function y = a sin(x) + b cos(x) are a = -1/10 and b = -3/10.
What is the value of the constants a and bTo find constants a and b such that y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 3y = sin(x), we need to differentiate y twice and substitute into the differential equation.
First, we have:
y = a sin(x) + b cos(x)
y' = a cos(x) - b sin(x)
y'' = -a sin(x) - b cos(x)
Substituting into the differential equation, we get:
(-a sin(x) - b cos(x)) + (a cos(x) - b sin(x)) - 3(a sin(x) + b cos(x)) = sin(x)
Simplifying and grouping like terms, we get:
(-a - 3b) sin(x) + (a - 3b) cos(x) = sin(x)
Since sin(x) and cos(x) are linearly independent, their coefficients must be equal. Therefore, we have the following system of equations:
-a - 3b = 0
a - 3b = 1
Solving this system of equations, we get:
a = -1/10
b = -3/10
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Trigonometry question:
A road rises uniformly 30.6 m for every 600 m along the road. Find the angle of elevation of this road correct to the nearest degree.
A. 1°
B. 2°
C. 3⁰
D. 4°
Please add the step-by-step explanation, thanks.
A road rises uniformly 30.6 m for every 600 m along the road so the angle of elevation of this road is correct to the nearest degree is 3°. Option C is correct
By using the relationship between the vertical increase, horizontal distance, and the angle of elevation. This vertical increase is given as 30.6m and the horizontal distance as 600m. Here, the angle of elevation is tangent.
Now, by further calculation, we get,
The angle of elevation= vertical increase/ horizontal distance
angle of elevation=\(\frac{30.6}{600}\)
By using inverse tangent(arctan) on both sides we get,
angle of elevation=(arctan)\(\frac{30.6}{600}\)=2.96°
By computing the approximate value is 2.96°. Rounding to the nearest degree, we get 3°.
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it takes one man four days to do a job if four man did that same job how many days will it take?
Answer:
16days
Step-by-step explanation:
1 man =4days
4men=4men/1man×4days
=4×4days
=16days
Answer:
1
Step-by-step explanation:
averaging
How do you think can festival dances help you in enhancing your fitness
Festival dances can be a fun and enjoyable way to enhance fitness. Dancing is a physical activity that can help improve cardiovascular health, increase endurance, improve flexibility, and build strength.
Festival dances often involve a combination of movements that are both aerobic and anaerobic, which can provide a full-body workout. The fast-paced, high-energy movements can help increase heart rate, boost metabolism, and burn calories.
In addition, festival dances require coordination, balance, and agility, which can help improve motor skills and increase overall physical performance. The repetition of dance movements can also help improve muscle memory and develop muscle strength and tone.
Participating in festival dances can also have mental health benefits. Dancing can help reduce stress, improve mood, and boost self-confidence.
Overall, festival dances can be a great way to enhance fitness while having fun and experiencing different cultures.
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Jamal made 7 9 of his free throws and Brian made 5 8 of his free throws. Which player has the better record? Explain.
Answer: Jamal
Step-by-step explanation:
7/9 = 0.777...
5/8 = 0.625
Therefore, Jamal has a higher probability of making it in.
Answer:
Jamal
Step-by-step explanation:
7/9= 0.77
5/8= 0.62
Jamal has a higher probability of making it
Which of the following sets contains all the roots of a polynomial
F(x)=2x^3+x^2-3x
A- {0,1 3/2}
B- {-3/2, 1}
C- {-3/2, 0,1}
D- { -1, -3/2}
The set that contains all the roots of the polynomial is given by:
C. {-3/2, 0,1}
What are the roots of a polynomial F(x)?They are the values of x for which F(x) = 0.
In this problem, the polynomial is given by:
F(x) = 2x³ + x² - 3x.
Hence:
2x³ + x² - 3x = 0.
2x(x² + 0.5x - 1.5) = 0.
2x = 0 -> x = 0.
x² + 0.5x - 1.5 = 0 -> (x + 1.5)(x - 1) = 0.
Then, this means that the other two roots are:
x + 1.5 = 0 -> x = -1.5.x - 1 = 0 -> x = 1.Hence the correct option is:
C. {-3/2, 0,1}
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A and b are mutually exclusive events. If p(a)=0. 07692 and p(b)=0. 25, what is the probability probability of a or b. To four decimal places? select one.
The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.
Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.
p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692
To four decimal places, the probability of A or B is 0.3269.
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How do you simplify it? I know the answer is 6_/6p but I don’t really know *how* to get there.
Answer:
The answer is
\(6 \sqrt{6p} \)Step-by-step explanation:
\( \sqrt{216p} \)First of all factor out the perfect square
From the question the perfect square is 36
We have
\( \sqrt{36 \times 6p} \)The root of a product is equal to the product of the roots of each factor
That's
\( \sqrt{36 \times 6p} = \sqrt{36} \times \sqrt{6p} \)Simplify
\( \sqrt{36} = 6\)So we have
\(6 \times \sqrt{6p} \)We have the final answer as
\(6 \sqrt{6p} \)Hope this helps you
A rectangular parking lot has an area of 1650 yd.² the length of the parking lot is 55 yards what is the width of the parking lot in yards
Answer:
The width of parking lot is 30 yards.
Step-by-step explanation:
Given that:
Area of rectangular parking lot = 1650 yards square
Length of parking lot = 55 yards
Width of parking lot = x yards
Area of rectangle is given by:
A = Length * Width
1650 = 55x
Dividing both sides by 55
\(\frac{55x}{55}=\frac{1650}{55}\\x=30\)
Hence,
The width of parking lot is 30 yards.
How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain
Answer:god
Step-by-step explanation: god is love right is god is right
Solve for y.
y/3 = x
Step-by-step explanation:
y/3 =x
y = 3x .
hope this helps you.
Last week , the Lions scored 52 points. This week, they scored 42 points. What is the percent decrease in the lions scores?
Find the value of x.
Answer:
I think the value of x is 61 degrees
Answer:
the answer is 65
Step-by-step explanation:
you add 61 and 54 then subtract from 180 you get 65 as your answer
What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
Answer:
-37/68
Step-by-step explanation:
3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4
(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4
10x+4=3/2x-5/8
37/8=-17/2x
37/8 (2)=-17/2x(2)
37/4=-17x
37/68=-x
-37/68=x
10^3
10^14=10negative^11
true or false
heeellllp asap
Answer:
False
Step-by-step explanation:
Using the rule of exponents
\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\) , then
\(10^{3}\) × \(10^{14}\) = \(10^{(3+14)}\) = \(10^{27}\)
Half of a number when added to 42 becomes 50. What is the original number?
Answer:
16
Step-by-step explanation:
50-42=8
8 times 2 is 16
Answer:
16
Step-by-step explanation:
42+8=50 then you double that number and 8x2 is 16 therefore the number must be 16