Answer:
C) Both procedures are correct
Step-by-step explanation:
1 + tan²(theta) = sec²(theta)
And
cos²(theta) = 1 - sin²(theta)
Are both valid identities
Answer:
c) both are correct
Step-by-step explanation:
What is the surface area of the rectangular prism?
Answer:
52
Step-by-step explanation:
You have to find the area of the all the sides which is L x H them add them.
Side(right) = 4 x 2 = 8
Side(left) = 4 x 2 = 8
Top = 4 x 3 = 12
Bottom = 4 x 3 = 12
Front = 3 x 2 = 6
Back = 3 x 2 = 6
= 52
Suppose 41,642 people moved. About how many of those people moved for family-related reasons?
Answer:
From 2012 to 2013 30% of people move for family based reasons so about 12492.6 give or take based on small variation
Step-by-step explanation:
divide 41,642 by 30%
Mean (ul) = 510 and standard deviation (0) = 80
1. What is the probability that a randomly
selected score is greater than 590?
2. A student who scored 750 is in the
percentile.
Answer:
Step-by-step explanation:
1. Use a calculator with distribution functions here. We're interested in finding the area under the standard normal curve to the right of 590, given that the mean is 510 and the standard deviation is 80. Note that 590 = 510 + 80, meaning that 590 is 1 standard deviation above the mean.
According to the Empirical Rule, 68% of data under a standard normal curve lies within 1 standard deviation of the mean. The area from the extreme left of this curve to x = 510 is 0.500, and the additional area under the curve from 510 to 590 is 34% of the total area, or 0.340.
Thus, the desired area is 0.500 + 0.340 = 0.840. This represents the desired probability.
2. What percentile is a score of 750? Find the number of standard deviations to the left of 750:
750 - 510
z-score = ------------------- = 24/8 = 3.00
80
The desired percentile is the area to the left of z = 3.00. Using a calculator, we find this area to be 0.9987. That 750 score is in the 99+ percentile.
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply. 5 + 2.5 > 4 5 + 2.5 < 4 4 + 2.5 > 5 4 + 2.5 < 5 4 + 5 > 2.5
Answer:
1)5 + 2.5 > 4
3)4 + 2.5 > 5
5)4 + 5 > 2.5
Step-by-step explanation:
I got this question in edge
The triangular inequality for these dimensions are:
5ft + 2.5ft > 4ft (true)5ft + 4ft > 2.5 ft (true)2.5ft + 4ft > 5ft (true)Which sums prove that the boards will create a triangular outline?
For a triangle with sides A, B, and C, the triangular inequality says that:
A + B > CA + C > BB + C > AIn this case, we know that the pieces of wood measure:
5ft
2.5ft
4ft
The triangular inequality for these dimensions is:
5ft + 2.5ft > 4ft (true)5ft + 4ft > 2.5 ft (true)2.5ft + 4ft > 5ft (true)So the 3 inequalities are true, meaning that we can make a triangle with these dimensions.
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There are ten candidates for a job. The search committee will choose three of them, and rank the chosen three from strongest to weakest. How many different outcomes are possible
Answer:
720
Step-by-step explanation:
Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).
P(10,3)=10! / (10-3)!
= 10!/7!
Rewrite 10 ! as
10 * 9 * 8 * 7 ! / 7!
Cancel the common factor of 7 ! and divide ( 10 * 9 * 8 ) by 1
10 * 9 * 8 = 720
Final answer:
To find the number of different outcomes possible when selecting and ranking three candidates out of ten, we calculate the permutations without repetition, using the formula 10! / (10 - 3)!, which yields 720 different outcomes.
Explanation:
The question asks for the number of different outcomes possible when a search committee must choose and rank three candidates out of ten for a job. This is a permutation problem because the order in which the candidates are ranked matters.
To calculate the number of different outcomes, we use the formula for permutations without repetition, which is n! / (n - r)!, where 'n' is the total number of items to choose from (in this case, the number of candidates) and 'r' is the number of items to choose and arrange (in this case, the number of candidates to be ranked). So, the number of different outcomes for selecting and ranking three candidates from ten is calculated as follows:
10! / (10 - 3)! = 10! / 7! = 10 × 9 × 8 = 720
Thus, there are 720 different outcomes possible when the search committee chooses and ranks three candidates out of ten.
Please help again...
Answer:
39
Step-by-step explanation:
The angle marked 39 degrees and <2 are vertical angles and vertical angles are equal. This means that <2 = 39 degrees
Answer:
39 is correct
To find angle 3 just get 90 - 39= your answer
Step-by-step explanation:
The rule is vertical angles are congruent and same.
Thanks
Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
–58 Db
–50 Db
9 Db
50 Db
Answer:
50 Db
Step-by-step explanation:
we know that
The loudness in decibels is given by the formula
[tex]L = 10log(\frac{I}{I_0})[/tex]
where
I = sound intensity in watts per square meter (Watts/m^2)
I₀ = reference intensity, = 10^(-12) Watts/m^2
so
For I=10^(-7) Watts/m^2
substitute in the formula above and solve for L
[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]
[tex]L = 10log(10^{5})[/tex]
[tex]L = 10 (5)=50\ Db[/tex]
Answer:
D. 50 Db on ed
i took the test and i got it right
Use the following function rule to find f(1).
Answer:
f(1) = 11
Step-by-step explanation:
Given
f(x) = [tex](11)^{x}[/tex]
To evaluate f(1) substitute x = 1 into f(x)
f(1) = [tex](11)^{1}[/tex] = 11
The simplified solution of the function at f(1) = 11.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The given function is,
f(x) = 11ˣ
In order to determine the value of f(1), we have to simply put x = 1 in the function,
f(1) = 11¹
As we know if the degree of any value is 1 than the solution of the expression is always the same as it was,
So,
f(1) = 11
Thus, the simplified solution of the function at f(1) = 11.
Learn more about simplification here:
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write a quadratic function in standard form whose graph has a vertex at (7,-3)
Answer:
y = x² -14x +46
Step-by-step explanation:
You want a standard form quadratic equation that has a vertex at (7, -3).
Vertex formThe vertex form of a quadratic equation is ...
y = a(x -h)² +k . . . . . . . vertex at (h, k), scale factor 'a'
Using a scale factor of 1 and vertex (h, k) = (7, -3), this equation is ...
y = (x -7)² -3
Standard formSimplifying this equation gives ...
y = x² -14x +49 -3
y = x² -14x +46 . . . . . . . standard form equation
Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 ft long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. both signs square foot sign. What is the total amount of time in hours it takes Roberto to decorate both signs? Show or explain each step to find your answer.
To find the total time to decorate both signs, calculate the area of each sign, determine the time needed for each sign, and add the times together.
Explanation:To find the total time for decorating both signs:
Calculate the area of each sign by multiplying length and width.Determine the time to decorate each sign based on the area.Add the times together to get the total time.Can anybody help me please!!
Answer:
I believe it is c
Step-by-step explanation:
You have 15 cookies. 7 are chocolate chip, 5 are sugar cookies, and 3 are snickerdoodles. You choose one, eat it, and then choose another. What is the probability that you will choose a choc chip cookie, eat it, and then choose another choc chip cookie?
Answer:
20%
Step-by-step explanation:
Let's break this down into simpler terms.
We know that:
There are 15 total cookies.
7 of them are chocolate chip.
Therefore, the ratio of chocolate chip cookies to total cookies is 7:15.
In other words, there is a 7 out of 15 chance that you will pick a chocolate chip cookie the first time. This percentage is 46.666666666667%.
Now, we have to figure out the percentage after you eat it. The new ratio of chocolate chip cookies to total cookies is 6:14.
In other words, there is a 6 out of 14 chance that you will pick a chocolate chip cookie the second time. This percentage is 42.857142857143%.
Now, we have to combine the two, as the second percentage only happens if the first percentage works (if that makes any sense).
Surprisingly, 42.857142857143% of 46.666666666667% rounds to exactly 0.2, which written as a percent is 20%.
Therefore, there is a 20% chance that you will choose a chocolate chip cookie, eat it, and then choose another chocolate chip cookie.
Answer:
Step-by-step explanation:
you will have diabetes
Select all that are true for the graph that represents the function f(x) = 5(3)"
Answer:next time provide the options and the girl that answer the question is incorrect
Step-by-step explanation:
In a circle, if a diameter bisects a chord (that is not a diameter), then:
The chord and the diameter are perpendicular.
Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.
Now, focus on triangles OAC and OBC. They have:
OA = OB because they are both radiiOC in commonAC=BC because the diameter bisects the chordSo, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.
In a circle, if a diameter bisects a chord (that is not a diameter), then it must also be the perpendicular bisector of that chord.
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.
If a diameter bisects a chord in a circle, then it must also be the perpendicular bisector of that chord. This is because the diameter is the longest possible chord in the circle, and it passes through the center of the circle, which is the point of concurrency for all the perpendicular bisectors of chords in the circle.
Therefore, it must also be the perpendicular bisector of that chord when the diameter bisects a chord.
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Whats the answer to this?
Given vectors ū = -97 + 8) and 3 = 77 +57, find 2ū - 67 in terms of unit vectors and 7.
a. -607 - 147
c. -577-617
b. - 191-617
d. -137-617
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
To find 2ū - 6v in terms of unit vectors, we first need to compute 2ū and 6v, and then subtract 6v from 2ū.
Given vectors ū = <-97, 8> and v = <77, 57>, we can find 2ū and 6v as follows:
1. 2ū = 2<-97, 8> = <-194, 16>
2. 6v = 6<77, 57> = <462, 342>
Now, subtracting 6v from 2ū:
2ū - 6v = <-194, 16> - <462, 342> = <-194 - 462, 16 - 342> = <-656, -326>
Now, we need to express this result in terms of unit vectors. The unit vectors in the x and y directions are <1, 0> and <0, 1> respectively.
The final expression is then -656<1, 0> - 326<0, 1>, which simplifies to -656i - 326j, where i and j are the unit vectors in the x and y directions, respectively.
In summary, 2ū - 6v in terms of unit vectors is -656i - 326j.
Now, if we subtract 67 from each component, we get -656 - 67 in the x-direction and -326 - 67 in the y-direction:
-656 - 67 = -723
-326 - 67 = -393
So, the final result is -723i - 393j.
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
To find 2u - 6v in terms of unit vectors i and j using the given vectors ū = 9i + 8j and v = 7i + 5j, we perform the following calculations:
1. Multiply vector u by 2:
2u = 2(9i + 8j) = 18i + 16j
2. Multiply vector v by 6:
6v = 6(7i + 5j) = 42i + 30j
3. Subtract 6v from 2u:
2u - 6v = (18i + 16j) - (42i + 30j)
= 18i + 16j - 42i - 30j
= (18i - 42i) + (16j - 30j)
= -24i - 14j
Therefore, 2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
The probable question maybe:
Given vectors ū = 9i + 8j and v = 7i +5j. find 2u - 6v in terms of unit vectors i and j.
What is 3.5% of 11? Round to the nearest hundredth (if necessary).
Answer:0.385
Step-by-step explanation:(3.5*100)*11
(3.5*11)*100
38.5*100 = 0.385
which parallelogram will smallest area
b=6 cm,h=7cm
,b=7 cm,h=5 cm,
b=10 cm,h =4 cm
,or b=4 cm,h=9 cm
Answer:
when b=7 cm, h=5 cm, you get the smallest area
Step-by-step explanation:
Answer:
b=7 h=5 35
Step-by-step explanation:
6x7=42
7x5=35
10x4=40
4x9=36
35 is smaller than all the other options! :) hope this helped!
The mean absolute deviation for people without high school diploma is?
Answer:
Hope it helps
Step-by-step explanation:
The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.
What is the mean absolute deviation?It is the average distance between each data point and the mean.
The mean absolute deviation is given as
[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]
The table is given below.
No high school diploma High school diploma
10 19
9.50 15.25
11.50 14
13 15.75
The mean of No high school diploma will be given as,
μ₁ = (10 + 9.50 + 11.50 + 13) / 4
μ₁ = 11
Then the mean absolute deviation is calculated as,
(MAD)₁ = (|10 - 11| + |9.5 - 11| + |11.5 - 11| + |13 - 11|) / 4
(MAD)₁ = 1.25
The mean of high school diploma will be given as,
μ₂ = (19 + 15.25 + 14 + 15.75) / 4
μ₂ = 16
Then the mean absolute deviation is calculated as,
(MAD)₂ = (|19 - 16| + |15.25 - 16| + |14 - 16| + |15.75 - 16|) / 4
(MAD)₂ = 1.50
The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.
More about the mean absolute deviation link is given below.
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The complete question is given below.
Which system of linear inequalities is represented by the
graph?
y > 1/3X + 3 and 3x - y> 2
y > 1/2x + 3 and 3x – y> 2
y > 1/3x +3 and 3x + y> 2
y > 1/3x + 3 and 2x – y > 2
WILL GIVE BRAINLIEST IF CORRECT
Answer:
y>1/3x+3 and 3x-y>2
2x10+7*1/10+3*1/100?
Answer:
20.73
Step-by-step explanation:
2x10+7*1/10+3*1/100
20 + 0.7 + 0.03
20.73
Answer:
2x^10+73/100
Step-by-step explanation:
pls mark me brainliest
How would I answer this?
Answer:
C = 145.4°
By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.
Step-by-step explanation:
Linear pairs are found on a straight line, so they total to 180°.
C + D = 180 ......eq'n [1]
C is seven more than four times D can be represented with this equation:
C = 4D + 7 ........eq'n [2]
We can solve by substituting [2] into [1], replacing "C".
C + D = 180
4D + 7 + D = 180
Collect like terms
5D + 7 = 180
Subtract 7 from both sides
5D = 173
Divide both sides by 5
D = 173/5
As a decimal, D = 34.6°.
Using eq'n [2], find C. Substitute the value of "D". Solve.
C = 4D + 7
C = 4(173/5) + 7
C = (692/5) + 7
C = (692/5) + (35/5) Find a common denominator.
C = (692+35)/5 Combine into numerator.
C = 727/5
As a decimal, C = 145.4°.
How many solutions does the system of equations have?
0
1
3
4
Gordon, Caroline & Malachy share some money in the ratio
3:34.
In total, Gordon and Malachy receive £77.
How much does Caroline get? -
Answer:
£33
Step-by-step explanation:
The share ratio is 3 :3:4
So the rational division is 3 + 3 + 4 = 10
Gordon and Malachy share is £77,
[tex] calculting \: total \: amt \: shared \\ \frac{3}{10} + \frac{4}{10} = 77 \\ \frac{3 + 4}{10} = 77 \\ \frac{7}{10} = 77 \\ total \: amt \: = \frac{77 \times 10}{7} = 110[/tex]
Carol's share =
[tex] \frac{3}{10} \times 110 = 33[/tex]
=£33
Final answer:
Gordon and Malachy's combined share corresponds to 7 parts of the ratio. One part is worth £11, and since Caroline's share is 3 parts of the ratio, she receives £33 in total.
Explanation:
The question involves dividing a sum of money according to a given ratio. Since Gordon and Malachy together receive £77, we need to first find out the ratio representing the sum of their parts and then calculate Caroline’s share.
Given the ratio of Gordon, Caroline, and Malachy’s share as 3:3:4, we can see that Gordon and Malachy’s ratio adds up to 3 + 4 = 7 parts. To find the value of one part, we divide the total amount they have (£77) by 7.
£77 divided by 7 parts equals £11 per part. Since Caroline’s share is 3 parts in the ratio, Caroline receives 3 parts times £11 per part, which equals £33. Therefore, Caroline gets £33.
RT and GJ are chords that intersect at point H.
A circle is shown. Chords R T and G J intersect at point H.
If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?
18 units
20 units
26 units
28 units
Answer:
20 units
Step-by-step explanation:
Given that:
R T and G J intersect at point H.
RH = 10 unitsHT = 16 unitsGH = 8 unitsAs we know, when two chords intersect each other inside a circle, the products of their segments are equal.
So the product of RH and HT = 10*16 = 180 units
<=> the product of GH*HJ = 160 units
<=> HJ = 160 / GH
<=> HJ = 160/8 = 20 units
Answer:
b 20 on edge
Step-by-step explanation:
(Day 11) Find the area of each shaded region. Round your answer to the
nearest tenths.
120° X
6 cm
cm sq.
8 cm
cm sq.
Pls Help me
Answer: for the first one the answer is 18.2 cm sq
For the second one the answer is 40.9 cm sq
Step-by-step explanation: the step by step explanation is on the picture
A cargo box is 3 meters wide, 5 meters long and 6 meters tall. Find the surface area of the box. This is a rectangular prism.
A. 63 meters squared
B. 14 meters squared
C. 48 meters squared
D. 126 meters squared
Final answer:
The surface area of the cargo box, which is a rectangular prism with dimensions of 3 meters wide, 5 meters long, and 6 meters tall, is calculated using the formula SA = 2lw + 2lh + 2wh. The correct answer is D. 126 meters squared.
Explanation:
To find the surface area of a rectangular prism, you need to calculate the area of all six faces and sum them up.
The formula for the surface area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
In this case, the dimensions of the cargo box are 3 meters wide (w), 5 meters long (l), and 6 meters tall (h). Using the formula:
SA = 2lw + 2lh + 2whSA = 2(5m × 3m) + 2(5m × 6m) + 2(3m × 6m)SA = 2(15m²) + 2(30m²) + 2(18m²)SA = 30m² + 60m² + 36m²SA = 126m²Therefore, the correct answer is D. 126 meters squared.
Δ ABC -Δ EDC
What is the value of x?
Answer:
x=11
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
36 6x-6
------------- = --------------
24 3x+7
Using cross products
36(3x+7) = 24(6x-6)
108x +252 = 144x - 144
Subtract 108x from each side
108x-108x +252 = 144x-108x - 144
252 =36x -144
Add 144 to each side
252+144 = 36x-144+144
396 =36x
Divide by 36
396/36 =36x/36
11 =x
Answer:
x = 11
Step-by-step explanation:
Similar figures have sides in the same ratio
24/36 = (3x + 7)/(6x - 6)
2/3 = (3x + 7)/(6x - 6)
12x - 12 = 9x + 21
3x = 33
x = 11
A rod equals 5 and one half
yards. If a bridge is 770 yards long, how long is it in rods?