Answer:
y = 4.69X + 52.93 ;
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690. ;
$86000
Step-by-step explanation:
Given the data:
X:
34
66
89
56
71
80
111
51
23
36
100
35
71
68
163
56
86
58
128
33
Y:
3
1
4
3
7
2
7
0
7
2
1
1
6
9
5
0
5
4
9
0
The regression equation obtained using a linear regression calculator :
y = 4.689X + 52.93182
Where ;
y = Salary ; x = Educational attainment
Slope is the Coefficient of x = 4.689
Intercept = 52.93
The slope value in thousand = 4.689 * 1000 = 4689 = 4690 (the slope is interpreted to the mean the change in y value per unit change in the value of x)
Therefore, salary increases by about $4690 for every unit increase.
If x = 7
y = 4.689(7) + 52.93182
y = 32.823 + 52.93182
y = 85.7548
Salary =, $86,000
pls asap... use trigonometry to find the area of a regular 20- gon with each side = 6 in
Answer:
Area of polygon[20 sides] = 1,140 inch² (Approx.)
Step-by-step explanation:
Given;
Number of sides = 20 sides
Length of each side = 6 inch
Find:
Area of polygon[20 sides]
Computation:
Perimeter of polygon[20sides] = 20 x Length of each side
Perimeter of polygon[20sides] = 20 x 6
Perimeter of polygon[20sides] = 120 inch
Apothem[Shortest distance from center] = S / 2tan[180/n]
Apothem[Shortest distance from center] = 6 / 2tan[180/20]
Apothem[Shortest distance from center] = 6 / 2tan[9]
Apothem[Shortest distance from center] = 18.94
Apothem[Shortest distance from center] = 19 inch (Approx.)
Area of polygon[20 sides] = [Perimeter x Apothem] / 2
Area of polygon[20 sides] = [120 x 19] / 2
Area of polygon[20 sides] = 1,140 inch² (Approx.)
find the nth term of the following sequence :
5, 20, 45, 80, 125
The nth term of the following sequence is: 5n²
What is arithmetic sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
We are given the sequence are;
5, 20, 45, 80, 125
The quadratic sequence formula : an²+bn+c
2nd difference 2a = 10
a = 5
1st difference 3a+b = 15
Then substitute 5
3(5)+b = 15
b = 0
The nth term rule : a + b + c = 5
Now substitute a and b values into equation
5 + 0 + c = 5
c = 0
The nth term is: 5n²
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help me with this question please
Answer:
[tex] \sf \: d) \: 82[/tex]
Step-by-step explanation:
Given information,
→ d = 10
→ u = 7
→ e = 3.2
The expression is,
→ d(e + 5)
Let's evaluate the expression,
→ d(e + 5)
→ 10(3.2 + 5)
→ 10 × 8.2
→ 82
Hence, option (d) is correct.
Answer:
Option D) 82
Step-by-step explanation:
Given ,
d = 10
u = 7
e = 3.2
To Find : [tex]d(e+5)[/tex]
Applying the values in the equations we get
[tex]10(3.2+5)\\[/tex] Applying Distributive property
[tex]32+50 = 82[/tex]
Hence , Option D) is the answer
What is the area of the circle with a radius of 21 in . and a circumference of 131.88 in ?
James has s contract to paint 30 identical water tanks. he has to paint the outside surfaces of esch tank, but not ghe top.
Answer:
That's the surface area........
(30 points) write the equation of line a that goes through points (3,2) and has a y-intercept of 1
Use the equation that you wrote for line a to write an equation for line b which is perpendicular to line 8 and goes through the point (-4,2)
To write the equation of a line that goes through the point (3,2) and has a y-intercept of 1, we can use the point-slope form of a line. The point-slope form is:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, and m is the slope of the line. The slope is a measure of the steepness of the line, and it is calculated as the rise (the change in y) over the run (the change in x).
To find the slope of the line, we can use the two points (3,2) and (3,1). The rise is 1 - 2 = -1 and the run is 3 - 3 = 0, so the slope is -1/0, which is undefined. This means that the line is a vertical line and does not have a slope.
Since the line is a vertical line, we cannot use the point-slope form to write its equation. Instead, we can use the slope-intercept form, which is:
y = mx + b
Where m is the slope of the line and b is the y-intercept. In this case, the slope is 0 (since the line is vertical), and the y-intercept is 1, so the equation of the line is:
y = 0x + 1
To write the equation of a line that is perpendicular to line a and goes through the point (-4,2), we need to find the slope of line a. Since line a is a vertical line, its slope is undefined. However, we know that the slope of a line perpendicular to it must be 0.
Using the point-slope form, the equation of line b is:
y - 2 = 0(x - (-4))
Simplifying, we get:
y = 0x + 2
So, the equation of line b is:
y = 0x + 2
50 POINT ANSWER (screenshot attached)
Step-by-step explanation:
x + 6y = 8 ........... ( ×2 ) ....... ( 1 )
2x + 4y = -8 ......... ( × 1 ) ....... ( 2 )
2x + 12y = 16
- - -
2x + 4y = -8
+12y - ( +4y ) = 16 - 8
12y - 4y = 8
8y = 8
divide both sides by the coefficient of y ( 8 )
8y / 8 = 8 / 8
y = 1
substitute for x in equation ( 1 )
x + 6y = 8
x + 6 ( 1 ) = 8
x + 6 = 8
x = 8 - 6
x = 2
x = 2 , y = 1
The physician orders 3 mg/kg of medication twice a day. The patient’s weight is 315 lb. How much medication does the patient receive each day?
Answer: To find out how much medication the patient receives each day, you need to determine the patient's weight in kilograms and then calculate the total dosage per day.
You can convert the patient's weight from pounds (lb) to kilograms (kg) by dividing the weight by 2.2.
So,
315/2.2 = 142.72 kg
Next, we can use this weight to determine the dosage per day:
3 mg/kg * 142.72 kg = 428.16 mg
Now, since the physician ordered twice a day, we will multiply the dosage per day with 2:
428.16 mg * 2 = 856.32 mg
So the patient receives 856.32 mg of medication each day.
Step-by-step explanation:
true or false 3 times the speed will have 9 times the force of impact
Answer: true
Step-by-step explanation:
What is the distance between the two points shown below?
Answer:
[tex]distance = \sqrt{ {( - 3 - ( - 3))}^{2} + {(4 - 0)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]
A roller-rink floor is shown below. Each end is semi-circle. What is its area? Use t = 3.14
85 ft
20 ft
40 ft
a. A = 4500 ft2b. A = 4564 ft2
c. A = 4656 ft?
d. A = 4730 ft?
Please someone help me
️️
Answer:
6884
Step-by-step explanation:
8x8x5
Write an equation perpendicular to the line y=2/3x+6, and passing through the point (-3,6)
Answer:
y = -3/2x + 1 1/2
Step-by-step explanation:
the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.
6 = -3/2(-3) + b
6 = 4.5 + b
1.5 = b
An employment agency required 20 secretarial candidates to type the same manuscript. The number of errors found in each manuscript is summarized in the histogram. Find the empirical probability that a candidate has less than four errors in the typed manuscript.
Answer:
The probability that a candidate has less than 4 errors is 0.40
Step-by-step explanation:
Given
[tex]n(S)= 20[/tex] --- candidates
See attachment for histogram
Required
[tex]P(x < 4)[/tex]
From the attached histogram, the errors less than 4 are: 0 or 1 and 2 or 3
And the corresponding frequencies are: 5 and 3, respectively.
So:
[tex]P(x < 4) = P(0\ or\ 1) + P(2\ or\ 3)[/tex]
This gives:
[tex]P(x < 4) = \frac{n(0\ or\ 1)}{n(S)} + \frac{n(2\ or\ 3)}{n(S)}[/tex]
Substitute 5, 3 and 20 for n(0 or 1), n(2 or 3) and n(S), respectively
[tex]P(x < 4) = \frac{5}{20} + \frac{3}{20}[/tex]
Take LCM
[tex]P(x < 4) = \frac{5+3}{20}[/tex]
[tex]P(x < 4) = \frac{8}{20}[/tex]
[tex]P(x < 4) = 0.40[/tex]
1
Select the correct answer from each drop-down menu.
Prism M and pyramid N have the same base area and the same height Cylinder P and prism Q have the same height and the same base perimeter.
Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures
have the same volume.
and
Answer:
i cant see it
Step-by-step explanation:
Answer:
A. cone Z
B. cylinder Y
Step-by-step explanation:
The figures cone Z and cylinder Y have the same volume.
Anything would be greatly appreciated!!
As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.
What is meant by polygon's surface area?The region that a particular polygon occupies in a two-dimensional plane, whether it be a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as its area. Depending on how they are shaped, different types of polygons have different areas or formulas for areas. One way to think of a polygonal surface is as a surface made up of polygonal faces. All of the polygons must belong to the same type (triangles, quadrilaterals or whatever). The user must ensure that each polygon's vertices all sit in a plane if the polygons are of a higher order than triangles. The collection of polygons or faces collectively make up the object's "skin." A wide range of solids and surfaces can be graphically represented using this technique.Therefore the correct option is C) 12 + 4√5 square unit
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Help plz:)))I’ll mark u Brainliest
Answer:
H=12
Step-by-step explanation:
· The line plot shows the numbers of hours volunteers worked at the food pantry. PLSS HELP
Answer:
C - 2[tex]\frac{1}{2}[/tex] hours
Step-by-step explanation:
8[tex]\frac{1}{2}[/tex] - 6 = 2[tex]\frac{1}{2}[/tex].
rashaads car used 2/3 of a gallon to travel 14 1/2 miles .How many miles can the car go on one gallon of gas
Answer:
21.75 or 21 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
What I did was 14.5 / 2 to see how many miles were on a 1/3 gallon, then multiplied that answer (which was 7.25) by 3 to get the full 3/3 or 1 gallon.
Can any1 help with this pls
----------------------------------------------------------------------------------
Answer:
c
Step-by-step explanation:
because it is yhe smaller temmpertatuer
Answer:
C. >
hope this helps
have a good day :)
Step-by-step explanation:
You need to give 250 mcg of adrenaline, and you have a 1 mL ampoule of 1:1000 adrenaline. How many mL do you want?
The volume of adrenaline you want is 0.25mL
How to determine the volume you wantFrom the question, we have the following parameters that can be used in our computation:
Amount to give = 250 mcg of adrenaline
Available = 1 mL of 1 : 1000 of adrenaline
The expression 1 mL of 1 : 1000 of adrenaline means that
1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)
So, we have
Available = 1 mL * 1000 microgram/mL
Evaluate
Available = 1000 micrograms
This can be expressed as
Available = 1000 mcg
So, we have
Amount to give = 250 mcg of adrenaline
Available = 1000 mcg of adrenaline
When converted to mL, we have
Available = 1 mL of 1 : 1000 of adrenaline
Divide by 4
Amount = 1 mL of 1/4 : 1000/4 of adrenaline
Evaluate
Amount = 1 mL of 1/4 : 250 of adrenaline
This implies that
Amount = 1 mL of 1/4
Evaluate
Amount = 0.25 mL
So, the amount is 0.25 mL
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¿En cuanto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres?
Answer:
L.4118.36.
Step-by-step explanation:
Para determinar en cuánto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres se debe realizar el siguiente cálculo de interés compuesto:
3000 x (1 + 0.08 / 4)^4x4 = X
3000 x (1 + 0.02)^16 = X
3000 x 1.02^16 = X
3000 x 1.3727 = X
4118.357 = X
Por lo tanto, tras 4 años de inversión al 8% de interés compuesto anual capitalizable por trimestres, la inversión valdrá L.4118.36.
-50 POINTS- don’t explain
Answer:
3
Step-by-step explanation:
like you said don't explain
Help me fast!!!! :)
Answer my other questions plz
Answer:
x = 20°
Step-by-step explanation:
Angles on a straight line = 180°
Therefore,
3x° + 80° + 2x° = 180°
Add like terms
5x + 80 = 180
Subtract 80 from each side
5x + 80 - 80 = 180 - 80
5x = 100
Divide both sides by 5
5x/5 = 100/5
x = 20°
The amount of vitamin C found in one cup of six
varieties of orange juice is shown below. What is the
median amount of vitamin C in the different varieties?
104 mg, 85 mg, 83 mg, 100 mg, 89 mg
Answer:
Question:The amount of vitamin C found in one cup of six varieties of orange juice is shown below. What is the median amount of vitamin C in the different varieties?104 mg, 85 mg, 83 mg, 100 mg, 89 mgSolution:First thing first, we've to arrange the data in an ascending order=> 83mg ,85mg ,89mg ,100 mg ,104 mg
Now ,Since the no. of observation is odd(here,5), we'd apply this formula[tex] = > (\frac{n + 1}{2})[/tex]
Where ,n= No. of observations, Hence, the median of the above data[tex] = > ( \frac{5 + 1}{2}) \\ = > \frac{6}{2} \\ = > 3[/tex]
is the third observation ↦89mg[tex] \\ \\ [/tex]
Hope it helps
-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
The median amount of vitamin C in the different varieties is 89mg.
what is median?The median is the value that's exactly in the middle of a dataset when it is ordered.
Given:
104, 85, 83, 100, 89
On arranging the given data:
83, 85, 89, 100, 104
as, the data is in odd number.
So,
median = (n+1)/2
=(5+1)/2
=3
The third element is 89.
Hence, the median amount of vitamin C in the different varieties is 89mg.
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accellus geometry help :) please
T:
Change each denominator to the given denominator. Check if the domain changed.
If yes, state the changes.
12
y = x
x-y
to a denominator of x - y
The domain of the expression
The new expression is -12/(x - y) and the domain is x ≠ y
How to change the denominator?From the question, we have the following parameters that can be used in our computation:
12/(y - x)
Multiply the fraction by 1
So, we have the following representation
12/(y - x) * 1
Express 1 as -1/-1
This gives
12/(y - x) * -1/-1
So, we have
-12/(x - y)
It should be noted that the domain remains the same
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Please help me! I need to answer this question and I don’t know how do to it if someone can help me please
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The graph of f(x) has a relative minimum where its first derivative (f'(x)) is zero and its second derivative (f''(x)) is positive. (Function f(x) is concave upward when f''(x) > 0.) Since the second derivative is the slope of the first derivative, this means the local minimum will be at the x-value where f'(x) = 0 and is crossing the x-axis from below.
The graph of f'(x) shows a local minimum at x = 1.
__
Desmos does not allow us to define f'(x) directly, so we have called it f₁(x). The function f(x) is the integral of that—shown as the dashed orange line. We wanted you to see the f(x) curve so you could see it has a local minimum at x=1.
In a set of 100 ACT scores that are normally distributed and with a mean of 23 and standard
deviation of 4.69, (a) how many scores are expected to be lower than 18.31 (one standard
deviation below the mean)? (b) How many of the 100 scores are expected to be below 32.38 (two
standard deviations above the mean)?
a). The number of scores which are expected to be lower than 18.31 is; 16 scores.
b). The number of scorers that are expected to be below 32.38 is; 98 scores.
Calculations involving normal distribution.As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.
First, since the mean is given as; 23 and the standard deviation is; 4.69.
By observation; 23 - 4.69 = 18.31 and
23 + 4.69 + 4.69 = 32.38.
a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.
Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.
b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.
Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.
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A marketing executive surveyed 1,000 shoppers at a grocery store to determine the highest price shoppers are willing to pay for a gallon of ice cream. His data is shown in the table.
Highest Price (in dollars)
Number of Shoppers
5
365
6
406
8
120
10
94
12
5
Based on the data, of 10,000 shoppers, which BEST estimates the number of shoppers that would be willing to pay at least $8.00 for a gallon of ice cream?
A
120
c
B
219
с
1,200
D
2,190
Answer:
c
Step-by-step explanation
120/1000 people bought 8 dollar ice cream. 120/1000 = 0.12 = 12% so 12% of 10000 is 1200