Given:
The set is:
[tex]\{x|x\text{ is a natural number less than }-2\}[/tex]
To find:
The raster form of the given set.
Solution:
We know that, natural numbers are all positive integers.
Natural numbers: 1, 2, 3, 4,... .
The given set is:
[tex]\{x|x\text{ is a natural number less than }-2\}[/tex]
Here, x is a natural number and it is less than -2, which is not possible.
Since all natural numbers are greater than or equal to 1, therefore the given set has no element.
[tex]\{x|x\text{ is a natural number less than }-2=\phi[/tex]
Therefore, the roaster form of the given set is [tex]\phi[/tex] or [tex]\{\ \}[/tex].
Match each scenario with the type of correlation it shows
The FDA regulates that fish that is consumed is allowed to contain 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the amount of mercury in the fish. The data for the average amount of mercury in each lake is in the given table ("Multi-disciplinary niser activity," 2013). Do the data provide enough evidence to show that the fish in Florida lakes has more mercury than the allowable amount? Test at the 10% level. Use the framework below to guide your work. Hypotheses:
H0 : u = 1.0 mg/kg
HA: ul > 1.0 mg/kg
Test statistic = -10.09 p-value is approximately 1, would report 0.9999. Since this is not less than or equal to 0.10, we do not favor Ha. We would conclude that there is not enough evidence to show that the mean amount of mercury in fish in Florida lakes is more than the allowable amount Why is the p-value so high when the test statistic seems extreme?
A. The alternative is > so the p-value matches the area to the left. Since the TS is negative, this results in shading most of the curve.
B. The TS is negative so the p-value matches the area to the left and results in a very small area. This p-value reported is not correct.
C. The alternative is > so the p-value matches the area to the right. Since the TS is negative, this results in shading most of the curve.
D. The TS should be positive so the p-value matches the area to the left and results in shading most of the curve.
Answer:
Step-by-step explanation:
H0 : u = 1.0 mg/kg
HA: u > 1.0 mg/kg
Test statistic = -10.09
p-value is approximately 1, would report 0.9999
α = 10% ; 0.1
Using the Pvalue, we can make a decision pattern ;
Recall ; H0 is rejected If Pvalue < α
Here,
Pvalue Given is ' 0.99999 α = 0.1
Pvalue > α ; Hence, we fail to reject the Null ;
The actual Pvalue calculated using the test statistic will be :
Pvalue(-10.09) with test statistic value using a Pvalue calculator
Pvalue < 0.00001
One hundred families each have $2$ fish. Each fish has either one stripe or two stripes. In total, there are $273$ stripes. How many one-striped fish are there in total?
Let x be the number of one-striped fish and y the number of two-striped fish.
100 families each have 2 fish, so there are a total of 200 fish:
x + y = 200
x one-striped fish carry a total of x stripes, while y two-striped fish carry a total of 2y stripes. There are 273 stripes overall, so
x + 2y = 273
Solve for x and y. Subtracting the first equation from the second eliminates x :
(x + 2y) - (x + y) = 273 - 200 ==> y = 73
Then
x + 73 = 200 ==> x = 127
Give the properties for the equation x2 + y2 + 8x - 2y +15 = 0
Radius √2 4 2
Answer:
ind the center and radius of the sphere: x2 + y2 +z2-8x + 2y + 62+1 0 2) Find an equation of the sphere that passes through the point (6,-2, 3) and has center (-1,2, 1). Find the curve in which the sphere from #2 intersects the yz-plane. For #4-11, u : ? + j-2k 4) 2u +3v 5) Iv 6) uv and v-3i-2j + k 8) Ivxu 9) comp,v 10) proju 11) Find the angle between u and v 12) Find the scalar triple product of a, b, and c. If a (3, 1,2), b (-1,1,0), and c (0,0,-4) 13) Find the values of x such that (3,2, x) and (2x, 4, x) are orthogonal 14) Find two unit vectors that are orthogonal to both j + 2k and i-2j+3k 15) Find the acute angle between two diagonals of a cube 16) Find a vector perpendicular to the plane through the points A(1,0,0), B(2,0,-1) and C(1,4,3) 17) Find parametric equations for the line through (4,-1, 2) and (1, 1, 5) 18) Find parametric equations for the line through (-2, 2, 4) and perpendicular to the plane 2x-y+5z 12 19) Find an equation of the plane through (2, 1,0) and parallel to x + 4y -3z 1 20) Find an equation of the plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1). 21) Show that the planes x y-z 1 and 2x 3y + 4z 5 are neither parallel nor perpendicular. Find the angle between the planes.
(ax=1/2x)+((-3/5)+21/5
find two factors of the first number such that their product is the first number and their sum is the second number. 24,10
Answer: the numbers are 6 and 4.
Step-by-step explanation: 6 times 4 equals 24
6 plus 4 equals 10
What is the value of x
The triangle is formed by using the diameter as its base, so angle opposite to the diameter, i.e., ∠QRS = 90°
Given that QR and SR are equal, so it is an isosceles triangle. Hence, ∠RQS and ∠RSQ are equal. Hence, ∠RSQ = x + 6° because given that ∠RQS = x + 6°.
We know that all angles of a triangle adds up to 180°.
So, (x+6°) + (x+6°) + 90° = 180°
=> 2(x+6°) + 90° = 180°
=> 2(x+6°) = 180° - 90°
=> 2(x+6°) = 90°
=> 2x + 12° = 90°
=> 2x = 90° - 12°
=> 2x = 78°
=> x = 78°/2
=> x = 39°
What value of y will make the equation true?
√34 x Wy - 34
PLEASE HELP
Answer:
y = 34Step-by-step explanation:
Given,
[tex] \sqrt{34} \times \sqrt{y} = 34[/tex]
[tex] = > \sqrt{34y} = 34[/tex]
[tex] = > 34y = {34}^{2} [/tex]
[tex] = > 34y = 34 \times 34[/tex]
[tex] = > y = \frac{34 \times 34}{34} [/tex]
=> y = 34 (Ans)
Add 2/5, 3/10 and 1/2. Give your answer as a mixed number
Answer:
I hope this will help you
Find the distance from point A (0,5) to the line y = -3x - 5. Round to the nearest tenth
Answer:
3.2
Step-by-step explanation:
Substitute in the equation:
|(mx1-y1+b)| / √(m2 + (1)2) =
= |(0+-5+-5)| / √(9 + 1)
Sum and operate:
|-10| / √10 = 10 / √10
Exact solution is:
√10
Approximate solution is:
3.2
Answered by GAUTHMATH
In one year, profit fell from $1.73 billion to $1.18 billion. What was the percent decrease in profit?
Answer:
31.7919075 % decrease
Step-by-step explanation:
To find the percent decrease
Take the original amount and subtract the new amount
1.73 billion - 1.18 billion =.55 billion
Divide by the original amount
.55 billion / 1.73 billion
.317919075
Change to percent form
31.7919075 % decrease
can someone help me really please really need help please don't understand
9514 1404 393
Answer:
2/83/5Step-by-step explanation:
1. The denominator of a fraction indicates how many (equal) pieces a quantity is divided into. When that quantity is 1 cake, and it is divided into 8 equal pieces, each piece is 1/8 of the cake, and there are 8 pieces, or 8/8 of the cake altogether. 8/8 = 1 entire.
When 2/8 of the cake is eaten, there are 8-2 = 6 pieces left, or 6/8 of the cake remains.
When an additional 4/8 of the cake is eaten, there are 6-4 = 2 pieces left, or 2/8 of the cake remains.
__
The fraction 2/8 can be written as the product of fractions ...
[tex]\dfrac{2}{8}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{1}{4}\cdot\dfrac{2}{2}[/tex]
We know that 2/2 = 1, and anything times 1 is that same thing, so the fraction 2/8 can be "reduced" to its equivalent, 1/4.
[tex]\dfrac{2}{8}=\dfrac{1}{4}\cdot1=\dfrac{1}{4}[/tex]
As far as we can tell, this question does not ask you to reduce the fraction. Since we're counting 1/8 cake slices, and there are 2 remaining, it is reasonable to leave the fraction as 2/8.
____
2. The given fractions are 1/5 pound, so it is reasonable to think of the whole weight of the 1-pound box as 5/5 pound. Two parts are 1/5 pound each, so the part remaining after considering those is ...
5/5 - 1/5 - 1/5 = (5 -1 -1)/5 = 3/5
The third item in the box is 3/5 pound.
Translate the sentence into a sentence Six more than the quotient of a number and 4 is equal to 8
Answer:
[tex] \frac {x}{3} + 6 = 8 [/tex]
Step-by-step explanation:
Let the unknown number be x.
Quotient simply means to divide a number by another number without any remainder.
For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; [tex] \frac {10}{5} = 2[/tex]
Hence, translating the word problem in this scenario into an algebraic expression, we have;
[tex] \frac {x}{3} + 6 = 8 [/tex]
Simplifying further, we have;
[tex] \frac {x}{3} = 8 - 6 [/tex]
[tex] \frac {x}{3} = 2 [/tex]
Cross-multiplying, we have;
x = 3 * 2
x = 6
Write the equation of the line in fully simplified slope-intercept form.
Step-by-step explanation:
y — yı = m(x – xı) equation of a line
Points A(1,3) and B(2,1)
Slope (m) = (y2 – y1) / (x2 – x1)
(1 –3) / (2 – 1)
–2/1
–2
Thus, y –3 = –2 (x – 1)
y – 3 = –2x + 2
y –3 + 3 = –2x + 2 + 3
y = –2x + 5
Which triangle is △ABC similar to and why?
△ABC is similar to △DEF by AA Similarity Postulate.
△ABC is similar to △GHI by AA Similarity Postulate.
△ABC is similar to △JEL by AA Similarity Postulate.
△ABC is not similar to any of the triangles given.
NOTE: Figures are not drawn to scale.
Answer:
Question. Which triangle is △ABC similar to and why?
Answer.△ABC is similar to △JEL by AA Similarity Postulate.
Answer:
△ABC ≈△JEL
Step-by-step explanation:
△ABC is similar to △JEL by AA Similarity Postulate. (final answer)
Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints.
y= √1+x^2 −2x, [0, 1]
Answer:
maximum: y = 1
minimum: y = 0.
Step-by-step explanation:
Here we have the function:
y = f(x) = √(1 + x^2 - 2x)
we want to find the minimum and maximum in the segment [0, 1]
First, we evaluate in the endpoints, which are 0 and 1.
f(0) =√(1 + 0^2 - 2*0) = 1
f(1) = √(1 + 1^2 - 2*1) = 0
Now let's look at the critical points (the zeros of the first derivate)
To derivate our function, we can use the chain rule:
f(x) = h(g(x))
then
f'(x) = h'(g(x))*g(x)
Here we can define:
h(x) = √x
g(x) = 1 + x^2 - 2x
Then:
f(x) = h(g(x))
f'(x) = 1/2*( 1 + x^2 - 2x)*(2x - 2)
f'(x) = (1 + x^2 - 2x)*(x - 1)
f'(x) = x^3 - 3x^2 + x - 1
this function does not have any zero in the segment [0, 1] (you can look it in the image below)
Thus, the function does not have critical points in the segment.
Then the maximum and minimum are given by the endpoints.
The maximum is 1 (when x = 0)
the minimum is 0 (when x = 1)
please do asaaaaapppp
Answer:
D. y ≤ 2 and y ≤ x
HELP ASAP! I have completed everything except for the last box. Can someone please help me on the last box. Thank you for your help!
Answer:
2.35%
Step-by-step explanation:
According to the Empirical Rule,
71 - 79 and 79 - 87 are each 34% of the graph.
63 - 71 and 87 - 95 are each 13.5% of the graph.
55 - 63 and 95 - 103 are each 2.35% of the graph.
Hope this helps.
Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of kg. Interpret your answer in terms of sampling error
Answer:
The result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
According to one study, brain weights of men are normally distributed with mean = 1.20 kg and a standard deviation = 0.14 kg.
Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg. Interpret your answer in terms of sampling error.
The explanation of the answers is now provided as follows:
Based on the Central limit theorem, it possible to say that the mean of sampling distribution (μₓ) is approximately equal to the population mean (μ) as follows:
μₓ = μ = 1.20 kg …………………………. (1)
Also, the standard deviation of the sampling distribution can be written as follows:
σₓ = (σ/√N) ……………………….. (2)
Where:
σ = population standard deviation = 0.14 kg
N = Sample size = 3
Substituting the values into equation (2), we have:
σₓ = 0.14 / √3 = 0.0808
Since we are to determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg, this implies that we have:
P(1.10 ≤ x ≤ 1.30)
Therefore, 1.10 and 1.30 have to be first normalized or standardized as follows:
For 1.10 kg
z = (x - μₓ) / σₓ = (1.10 - 1.20) / 0.0808 = -1.24
For 1.30 kg
z = (x - μₓ)/σₓ = (1.30 - 1.20) / 0.0808 = 1.24
The required probability can be determined when P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24).
From the normal distribution table, the following can be obtained for these probabilities:
P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24) = P(z ≤ 1.24) - P(z ≤ -1.24) = 0.89251 - 0.10749 = 0.7850, or 78.50%
Therefore, the sampling error is equal to 0.0808 which is the standard deviation of the sampling distribution.
In terms of the sampling error, the result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.
In a certain armithmetic sequence , if -4 is the first term , and 10 is the third term, which term is 157?
Answer:
157 is the 24th term.
Step-by-step explanation:
We are given that in an arithmetic sequence, -4 is the first term and 10 is the third term. And we want to find the term number of 157.
Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
We know that the initial term a is -4. Hence:
[tex]x_n= -4 + d(n-1)[/tex]
Since 10 is the third term, n = 3:
[tex]\displaystyle x_{3}=10=-4+d(3-1)[/tex]
Solve for the common difference:
[tex]14=2d\Rightarrow d=7[/tex]
Hence, our direct formula is:
[tex]\displaystyle x_n=-4+7(n-1)[/tex]
To find the term number of 157, let 157 equal xₙ and solve for n. Hence:
[tex]\displaystyle (157)=-4+7(n-1)[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} 161 &= 7(n-1) \\ 23 & = n-1 \\ n &= 24\end{aligned}[/tex]
157 is the 24th term.
A number is chosen at random from 1 to 50. What is the probability of selecting
multiples of 10.
Answer: 25
Step-by-step explanation:
Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) f(x, y, z) = yz + xy; xy = 1, y^2 + z^2 = 25
Answer:
pls post pic of question can't understand ur question
Find a fraction equivalent to
that has a denominator of 10.
Answer:
1/10
Step-by-step explanation:
any number (1-9) as the number above the fraction line (numerator) with the number 10 below the fraction line is a fraction with a denominator of 10.
if it was 10/10, it will = 1
Ross resides in an apartment where houses are arranged horizontally. She resides at door number 3.if she want to visit her friend Martha at door number 7, how many house should she Cross?
Answer:
3 doors if we are excluding her own. 4 if we are not.
4, 5, 6. she does not pass 7, she enters 7.
3, 4, 5, 6. it could be argued she must first pass her own door.
that context changes the answer.
I put 22.5 but it won’t work is there any other way for this to work??
Try rounding off your answer
You can model that you expect a 1.25% raise each year that you work for a certain company. If you currently make $40,000, how many years should go by until you are making $120,000? (Round to the closest year.
Calculus 3 Problem:
5. The velocity field of a fluid flowing through a region in space is
F=-4 xy i+ 8y j +2 k
Find the flow along the curve r(t) = ti+t^2 j+k,
[tex]0 \leqslant t \leqslant 2[/tex]
Answer:
हेहेवोफेन्वोश्व्भ्जेहेहेहेहेहीहेह्सुउआअन्ब्य्हपन्स्न्द्कह्ध्फ्फ्ज्बिफ्न्व्मौएएएकेनेह्फिग्ग्तिर
Step-by-step explanation:
ddhxuxhdheuejeuejeiejejwoqoooeurrttqoyuxj न्क्क्द्सिइएर्रिरिर्क्जेव्व्व्द!दर्फ्ज्र्ज्द्ज74848491$=:/%*$*73829238%77-%7:8/:="829192=/:
please help will give brainliest and points
i need this by tomorrow pleaseeee
Answer:
Step-by-step explanation:
Angle 1 and angle 2 are remote interior angles of angle 6 because angles 1 and 2 are on the inside and it is remote and across from angle six. You can also see this where angle 1 and angle 3 are remote interior angles of angle 5
So in turn angles 2 and 3 are remote interior angles of angle 4 for the same reasoning.
(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5) in standard form
Answer:
0.7 x 10 ^ -9
Step-by-step explanation:
(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5)
3.5 / 5 x 10 ^ -4/ 10 ^ 5
=> 0.7 x 10 ^ -9
Plz hurry
50 points
Answer:
2:3 < 5:6
10:12 > 6:9
The ratios in table 1 are less than the ratios in Table 2
Step-by-step explanation:
cross multiply the ratios and you can tell which one is bigger.
For example, in the first ratio you can see that 2x6 < 5x3
Do that for the second set of ratios and you can see that the ratios in table one are smaller than the ratios in table 2.
Hope this helps
Answer:
2 :3 < 5:6
10: 12 > 6:9
Step-by-step explanation:
i took the test
