Answer:
Weight from height ;
409 ;
790 ;
55,505
Yes
Step-by-step explanation:
Height, X :
ΣX = (60+62+63+66.5+73.5+84) = 409
Weight, Y :
ΣY = (99 + 107 + 111 + 125 + 153 + 195) = 790
Height * weight = ΣXY
(60*99 +62*107 +63*111 +66.5*125 +73.5*153 +84*195) = 55,505
To know If to take the bet, we calculate the strength of the relationship :
Correlation Coefficient :
Using calculator :
The correlation Coefficient = 1 ; meaning that there is a perfect relationship between height and weight. Hence, take the bet.
A ball is kicked from the ground. At 1 second it is 3 m off the ground. At 2 seconds it is 12 m off the ground, at 3 seconds it is 27 m off the ground After 3 bounces, how high is the ball
Answer:
the correct answer is 3 m............
PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)
–6
3
–59
26
Answer:
1st option
Step-by-step explanation:
Evaluate f(- 5) then substitute the value obtained into g(x)
f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then
g(3) = - 4(3) + 6 = - 12 + 6 = - 6
Find the value of a.
A. 58
B. 130
C. 86
D. 65
Answer:
[tex]C. \ \ \ 86[/tex]°
Step-by-step explanation:
1. Approach
In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).
2. Arc (a) and arc (c)
A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:
[tex]a = c[/tex]
3. Finding the degree measure of arc (a),
The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:
[tex]86=\frac{a+c}{2}[/tex]
Substitute,
[tex]86=\frac{a+c}{2}[/tex]
[tex]86=\frac{a+a}{2}[/tex]
Simplify,
[tex]86=\frac{a+a}{2}[/tex]
[tex]86=\frac{2a}{2}[/tex]
[tex]86=a[/tex]
A computer parts company wants to make a rectangular memory board that has a perimeter of 14 cm and a diagonal of length 5 cm. What are the dimensions of the board?
Answer:
A computer parts company wants to make a rectangular memory board that has a perimeter of 28 centimeters and a diagonal length of 10 centimeters. Find the dimensions of the board. Consider the length to be the longer side.: Call the two sides L & W: the perimeter 2L + 2W = 28 Simplify, divide by 2 L + W = 14 L = (14-W); use this form for substitution
Step-by-step explanation:
==========================================================
Explanation:
x = width
y = length
both x and y are positive real numbers, and the units of which are in cm.
The perimeter of any rectangle is found by saying
P = 2*(length+width)
P = 2*(x+y)
Plugging in P = 14 leads us to
P = 2*(x+y)
14 = 2*(x+y)
14/2 = x+y
7 = x+y
Solve for one of the variables. Let's say we solve for y. That should get us y = 7-x which we'll use a bit later.
--------------
Notice how the diagonal forms two identical right triangles. The legs of which are x and y as defined earlier. The hypotenuse is 5, which is the diagonal length.
Use the pythagorean theorem to help solve for x
a^2 + b^2 = c^2
x^2 + y^2 = 5^2
x^2 + (7-x)^2 = 25 ... plug in y = 7-x
x^2 + 49 - 14x + x^2 = 25 ... use FOIL rule
2x^2-14x+49 = 25
2x^2-14x+49-25 = 0
2x^2-14x+24 = 0
2(x^2-7x+12) = 0
x^2-7x+12 = 0
(x-3)(x-4) = 0
x-3 = 0 or x-4 = 0
x = 3 or x = 4
If x = 3, then y = 7-x = 7-3 = 4
If x = 4, then y = 7-x = 7-4 = 3
We have this symmetry going on. If x is one of 3 or 4, then y is the other of those values. Because x = 3 and y = 4, or vice versa, this means we have a 3-4-5 right triangle (well to be fair we have two identical copies of such a triangle to form the rectangle).
Therefore, the dimensions of the rectangular board is 3 cm by 4 cm. The order doesn't matter so you could easily say "4 cm by 3 cm" to mean the same thing.
--------------
Check:
P = perimeter
P = 2*(length+width)
P = 2*(x+y)
P = 2*(3+4)
P = 2*7
P = 14
That helps confirm the answer.
Hey good morning I need help ASAP thank you guys
Answer:
A 59
Step-by-step explanation:
Higher sample size is generally always more accurate
find the missing side length in the image below
Let missing side be x
Using basic proportionality theorem
[tex]\\ \sf\longmapsto \dfrac{18}{14}=\dfrac{27}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{7}=\dfrac{27}{x}[/tex]
[tex]\\ \sf\longmapsto 9x=7(27)[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{7(27)}{9}[/tex]
[tex]\\ \sf\longmapsto x=21[/tex]
Peaches cost $5 a dozen. Use a table to determine the following:
A. The cost of 3dozen peaches.
B. The cost of 60peaches.
C. The number of peaches you can buy for $35
Answer:
A. $15
B. $25
C. 84 peaches
Answer:
a)3dozenx$5=$15
b)60=5 dozen 5x$5=$25
c)35/5=7,7 dozen, 7 x 12= 84
Step-by-step explanation:
You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a month. Agency A charges 50 percent of the first month's gross salary. Agency B charges 10 percent of your monthly salary for the first six months. Agency C charges a $100 up-front fee and a flat fee of $500 when you are placed. Compare the three choices. Which of these offers the least expensive overall fee?
Answer:
Agency C offers the least expensive overall fee
Step-by-step explanation:
Alone from gross salary, you would make 24000 a year.
Agency A
24000 - ( 2000 x 0.5)
= 23,000
$1000 fee
Agency B
24000 - ( 2000 x 0.1 ) x 6
= 24000 - 200 x 6
= 24000 - 1200
= 22,800
$1200 fee
Agency C
24000 - (500 + 100)
= 24000 - 600
= 23,400
$600 fee
The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle
Answer:
Step-by-step explanation:
L = 4 + w
A = 2P - 4
lw = 2(2l +2w) - 4
lw = 4(l + w) - 4
(w+4)w = 4 ( w+4+w) -4
(w +4)w = 4(2w + 4) - 4
w^2 + 4w = 8w + 16 - 4
w^2 + 4w = 8w + 12
w^2 - 4w - 12 = 0
( w - 6 )( w + 2 ) = 0
w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60
w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected
In each figure below, find m<1 and m<2 if a is parallel to b. You don't have to show work.
please help i need this by tonight will give brainliest
Answer:
m <5 = 71 degrees.
m <8 = 109 degrees.
What is the difference between these two linear equations?
Y=3x - y=-3x
give that 1/x+2/y=1/2, express y in terms of x and 2
9514 1404 393
Answer:
y = 4x/(x -2)
Step-by-step explanation:
Subtract 1/x
2/y = 1/2 -1/x
Combine terms
2/y = (x-2)/(2x)
Cross multiply
4x = y(x -2)
Divide by the coefficient of y
y = 4x/(x -2) . . . . simplest
y = 2^2/(x -2) . . . . in terms of x and 2
A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours beyond 8 hours). For up to 8 hours worked, the equation for total pay (y) for hours worked (x) is y = 20x. For over 8 hours worked, what is the equation for total pay (y) as a function of total hours worked (x)?
Answer: y = 30x
Step-by-step explanation:
Because we are talking about over 8 hours. The question states that you get 30$ per hour for overtime hours. That means if you work over 8 hours your dollars per hour increases to 30. So because the amount of dollars increases to 30 you can infer that all you have to do is make the same equation as the 20 dollar's per hour equation. Except you put 30 making it y = 30x.
A 12 ounce bag of rice costs $4.08. A 16-ounce bag of the same rice costs $5.76. Which bag is the better by
and by how much
Answer:
16 once is the better one.
Answer: 12-ounce bag is better by $0.02 per ounce
Concept:
When coming across questions that ask for a comparison between prices, we should make the final unit [price per object].
In finding [price per object], simply do [Total price / number of objects].
Solve:
A 12-ounce bag of rice costs $4.08
Total price / number of objects = 4.08 / 12 = $0.34 per ounce
A 16-ounce bag of rice costs $5.76
Total price / number of objects = 5.76 / 16 = $0.36 per ounce
$0.36 - $0.34 = $0.02
$0.34 < $0.36, therefore, 12-ounce bag is better by $0.02 per ounce.
Hope this helps!! :)
Please let me know if you have any questions
Convert 15,000 meters to centimeters.
15,000 centimeters
150,000 centimeters
15,000,000 centimeters
1,500,000 centimeters
Answer:
1500000
Step-by-step explanation:
1 metre = 100 cm
15000metre =15000*100
=1500000
Which phrase describes the linear relationship between the values of x and y shown in the table?
x l y
-3 l 9
0 l 0
3 l -9
A. y is 3 times x
B. x is 6 more than y
C. y is 12 more than x
D. y is -3 times x
Answer:
The answer is D. Y is -3 times x
The phrase which describes the linear relationship between the values of x and y is y is -3 times x.
What is linear relationship between two variables?
A linear relationship is any relationship between two variables that creates a line when graphed in the x y -plane.
According to the given question.
We have a linear relationship between x and y.
From the first we can see that
When,
x = -3 and y = 9
⇒ y = -3x = -3 × (-3) = 9
when,
x = 0, and y = 0
⇒ y = -3x = -3 × 0 = 0
when,
x = 3, and y = -9
⇒ y = -3x = -3 × 3 = -9
Hence, this shows that y is -3 times x.
Thus, option D is correct.
Find out more information about linear relationship between two variables here:
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Find 900 ÷ 90.
plz help
Answer:
the answer is 10
Step-by-step explanation:
900 ÷ 90
=> 10 [tex]\sf{}[/tex]
Answer:
The answer is 10.
Step-by-step explanation:
900/90=cut 0 of numerator and denominator then 90 divide by 9 is 10.
What is the first step to solve the equation 16x-21 = 52?
1 Add 52 to both sides
2 Add 21 to both sides
3 Subtract 21 from both sides
4 Subtract 52 from both sides
Answer:
2) Add 21 to both sides
Step-by-step explanation:
When solving [tex]16x-21=52[/tex] for [tex]x[/tex], our goal to isolate [tex]x[/tex] such that we have [tex]x[/tex] set equal to something.
Therefore, we want to start by adding 21 to both sides. This leaves us with [tex]16x=73[/tex] and we are one step closer to isolating [tex]x[/tex].
What percent of 30 is 3?
Answer:
10%
Step-by-step explanation:
3/30 × 100 = 100
Therefore 3 is 10% of 30
3 is 10 percent of 30.
To determine what percent of 30 is 3, we can use the concept of finding a proportion or ratio.
The proportion can be set up as follows:
3 is what percent of 30?
Let x represent the unknown percentage.
Using the formula for finding the percentage, we can write:
x/100 = 3/30
To simplify the equation, we divide both sides by 3:
x/100 = 1/10
To isolate x, we multiply both sides by 100:
x = (1/10)100
Simplifying the expression, we have:
x = 10
Therefore, 3 is 10% of 30.
To understand this calculation, we can interpret it as follows: If we consider 30 as the whole or 100%, then 3 is a fraction of that whole. By dividing 3 by 30 and multiplying by 100, we find that 3 is equivalent to 10% of 30.
To learn more about the percentage;
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SOMEONE PLS HELP ME!!!
Answer:
No
Step-by-step explanation: Bye
The perimeter of a rectangular Garden is 80 feet the garden is three times as long as it is wide the system of equation can be used to find the width in the length
Answer:
10 wide 30 long
Step-by-step explanation:
1. Start guess and check.
2. When you get to 10 follow this:
10x3=30. 30+30+10+10=80
80=80
Solve for x
6x + 11= - (6x + 5)
Answer:
x = -4/3
Step-by-step explanation:
6x + 11 = -6x - 5
12x = -16
x = -4/3
Answer:
x = -4/3
Step-by-step explanation:
6x + 11= - (6x + 5)
Distribute the minus sign
6x+11 = -6x-5
Add 6x to each side
6x+11 +6x = -6x-5+6x
12x+11 = -5
Subtract 11 from each side
12x+11-11 = -5-11
12x = -16
Divide by 12
12x/12 = -16/12
x = -4/3
13. Find the smallest number which when divided by 21,28,36 and 44 leaves a
remainder of 3 in each case?
Answer:
2775
Step-by-step explanation:
Well of course since the problem is not restricted, the smallest number is 3. I'm almost sure that's not what you mean. The next smallest number is 2775. I found that using a programing language. I'm sure as well that does not satisfy the question, either.
I think you are intended to do this by finding the lowest common multiple and adding 3.
21: 3 * 7
28: 2 * 2 * 7
36: 2 * 2 * 3 * 3
44: 2 * 2 * 11
LCM = 2 * 2 * 3 * 3 * 7 * 11 = 2772
Now add 3 and the number you want is 2775
Given the following coordinates complete the glide reflection transformation.
9514 1404 393
Answer:
A"(-1, -2)B"(4, 0)C"(6, -3)Step-by-step explanation:
The reflection over the x-axis is ...
(x, y) ⇒ (x, -y)
The shift left 3 units is ...
(x, y) ⇒ (x -3, y)
So, the two transformations together will be ...
(x, y) ⇒ (x -3, -y)
A(4, 2) ⇒ A"(1, -2)
B(7,0) ⇒ B"(4, 0)
C(9, 3) ⇒ C"(6, -3)
ANSWER NOW IM TIMED Louie uses 10 feet of wood, 16 wheels and one can of paint for every 4 skateboards he builds.
A 4-column table with 3 rows. Column 1 is labeled Skateboards with entries 1, 4, 10. Column 2 is labeled Wood with entries blank, 10 feet, blank. Column 3 is labeled Wheels with entries blank, 16, blank. Column 4 is labeled paint with entries blank, 1 can, blank.
Use the table to find how much of each item Louie needs to build 10 skateboards.
Louie needs
feet of wood,
wheels, and
cans of paint.
Answer: 25 feet of wood
40 wheels and 2.5 cans of paints
Step-by-step explanation:
Answer:
25 feet of wood
40 wheels and
2.5 cans of paints
Step-by-step explanation: I did this before Also can i get brainlyist please
Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m = 8 normal subjects was 1.71 mm, and the sample standard deviation was .53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.53 and .87, respectively.
Required:
a. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects?
b. State and test the relevant hypotheses using a significance level of 0.01.
Answer:
Hence, data does not suggest the true average gap detection threshold for CTS subjects exceeds that for normal subjects.
Step-by-step explanation:
H0 : μ1 = μ2
H1 : μ1 < μ2
Given :
m = 8 ; x1 = 1.71 ; s1 = 0.53
n = 10 ; x2 = 2.53 ; s2 = 0.87
The test statistic :
(x1 - x2) / √(s1²/m + s2²/n)
(1.71 - 2.53) / √(0.53²/8 + 0.87²/10)
-0.82 / √0.1108025
Test statistic = - 0.82 / 0.3328700
Test statistic = - 2.463
The degree of freedom using the conservative approach :
Smaller of (10 - 1) or (8 - 1)
df = 7
TCritical value(0.01, 7) = 2.998
Decision region :
Reject H0 if |Test statistic| > |critical value|
Since, 2.463 < 2.998 ; WE fail to reject H0 ; Hence result is not significant at α = 0.01
Find the length of FV
Answer:
72.47
Step-by-step explanation:
FV cos 43 = TV
FV (0.73135370161 ) = 53
FV = 72.468 = 72.47
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{TV}{FV}[/tex] = [tex]\frac{53}{FV}[/tex] ( multiply both sides by FV )
FV × cos43° = 53 ( divide both sides by cos43° )
FV = [tex]\frac{53}{cos43}[/tex] ≈ 72.47 ( to 2 dec. places )
For the right angle, find the missing quantity indicated below the figure.
Answer:
The Answer is 28.........
Does the function f(x) = (0.68)^x represent exponential growth, decay, or neither?
Answer:
The function is always Decreasing
Step-by-step explanation:
By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.
(03.04) Use the graph below for this question: What is the average rate of change from x = −3 to x = 5? (1 point)
A.−1
B.0
C.1
D.8
Answer:
B. 0
Step-by-step explanation:
Rate of change from x = -3 to x = 5
Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
where, from the graph, we have:
a = -3, f(a) = -1,
b = 5, f(b) = -1,
Plug in the values
Rate of change = [tex] \frac{-1 -(-1)}{5 - (-3)} [/tex]
Rate of change = [tex] \frac{0}{8} [/tex]
Rate of change = 0
