Each person who applies for an assembly job at Robert’s Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution. Length of Time (in minutes) Number 1 up to 4 4 4 up to 7 8 7 up to 10 14 10 up to 13 9 13 up to 16 5 16 up to 19 2 What is the standard deviation (in minutes)? 17.00 6.01 3.89 8.78
Answer:
3.89 minutes
Step-by-step explanation:
Firstly, we have this in a table using the range
There are 6 ranges
We put the frequency alongside
Afterwards we calculate the midpoint of the range
For example, midpoint of range 1-4 is (1+4)/2 = 5/2 = 2.5
We multiply the midpoint by the frequency which gives another column
Then we calculate the mean, where the mean is the summation of all frequencies and their midpoints
We subtract each midpoint from the mean, square the results, then multiply each by their frequency
Lastly, we apply the standard deviation formula
Please check attachment for the tabular representation and formulas
four students wrote expressions using the variable t below. If t represents a positive integer, whose expression had the greatest value?
Answer:
Devon
Step-by-step explanation:
lets use t=1 to compare
1. -5(12t+9)
if t = 1, -5(12+9) = -5(21) = negative number
2. 2(-6t-8)
if t = 1, 2(-6-8) = 2(-14) = negative number
3. -6(-2t+18)
if t = 1, -6(-2+18) = -6(16) = negative number
4. (-4(-3t-2)
if t = 1, -4(-3-2) = -4(-5) = 20 positive number
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0.2(3a + 6b) use distributive property
Answer:
0.6 a + 1.2 b
Step-by-step explanation:
41°
40°
X
X
O 40
39
0 41
Answer:
39
Step-by-step explanation:
just had it.
Please hurry and help me!
Answer:
The first one is 13/20 second one is 13/25 and the third is equally likely
Step-by-step explanation:
Please help me I appreciate it thank you so much
Answer:
yes
Step-by-step explanation:
math
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.8 gallons in the 15-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.90 per gallon. How much did Lou spend on gas?
Answer: You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
3. Then, the result is:
$26.98
The graph represents the journey of a bus from the bus stop to different locations Bus Journey 4 Distance (miles) La 5 X Time (hours) Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey (4 points) Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points) Part C: Is the graph linear or non-linear? Explain your answer (2 points)
Answer: if the bus takes 5 hours to go the distance then it will take the y,x distances to go the 5 hours.
Step-by-step explanation:
please answer asap I really need it til 2.00 p.m, A sporting good store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making theone-day sale price of the ski set $321.
Find the original selling price of the ski set ?
Answer:
the ski original price is 641
Step-by-step explanation:
Answer:
Step-by-step explanation:
you cant find the answer without knowing what discount was given sorry
pleaseee hellppp meeee
Answer:
The y-intercept is -3.2
Which shows a rational number plotted correctly on a number line?
A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.
A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.
A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.
A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.
Answer:
A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.Step-by-step explanation:
A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.
Incorrect. - 3.5>-4 and should be to the right of -4A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.
Correct. -21/2 = -10.5 < -10 is one space to the left of -10A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.
Incorrect. -7/2 =-3.5 > -4 should be to the left of -4.A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.
Incorrect. 9/2 = 4.5 > 4 should be to the right of 4.Answer:
B
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
Consider the figure below. If ∆ABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C’ ?
Answer: -7
Step-by-step explanation:
I’m doing the test
How do I solve this? Do I have to divide and do other steps?? Help please :/
Step-by-step explanation:
its decreasing so 2007 had 84.134 sheep farms so u gotta subract by a number to year 2080 and to get 79.300
write 5,020,700 in expanded form
5,000,000+20,0000+700
Help me please thank you I appreciate it
If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
O mZA= 15° and mzC= 35
O mZA+ mZB = 155°
O mZA+ mzC = 60
OMZA= 20° and m2C=30
Answer:
Option B m<ZA+m<ZB = 155° is correct option.
Step-by-step explanation:
We know that sum of angles of triangle is equal to 180°
And Isosceles triangle, 2 angles are same
So, let Angle 1 = x
Angle 2 = x
Angle 3 = 130°
Finding values of angle x
x+x+130=180
2x=180-130
2x=50
x=25
So, Angle 1 = 25 °
Angle 2 = 25°
As, angle B is greater than 90°, the sum of angles added must be greater than 90°
So, Option A, C and D can't be correct, as their sum is less than 90°
Option B m<ZA+m<ZB = 155° is correct option.
Verify:
m<ZA = 25° (as found earlier)
m<ZB = 130° (given)
So, m<ZA+m<ZB = 155°
25°+130° = 155°
The true statement about the given angles of the triangle is m∠A + m∠B = 155⁰.
Sum of angles of Isosceles triangle
The sum of angles of Isosceles triangle must add up to 180 degrees.
Base angles of the Isosceles triangleLet the base angles = x and x
x + x + 130 = 180 (sum of angles in a triangle)
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25
Given angle B = 130°
B + A = B + C = 130 + 25 = 155°
Thus, the true statement about the given angles of the triangle is m∠A + m∠B = 155⁰.
Learn more about angles of Isosceles triangle here: https://brainly.com/question/155625
PLS PLS HELP! WILL GIVE BRAINLIEST IF ALL QUESTIONS ARE ANSWERED AND IF THEY’RE RIGHT!
Brad made a graph showing how many students were absent from school every day last week.
Use the graph to answer the questions.
1. List the ordered pairs for the graphed points.
Write your answer in the space below.
2. How many students were absent on day 3? Explain how you know.
Write your answer in the space below.
3. On which day were the greatest number of students absent? How many students were absent that day?
Write your answer in the space below.
4. Is the relation represented by the graph a function? Why or why not?
Write your answer in the space below.
Answer:
1. (1,7),(2.10),(3,5),(4,7),(5,9)
2. There were 5 students absent on day 3. I know because it shows on the graph.
3. Day 2 was the greastes number of studnets absent. There were 10 students absent that day.
4. The relation represented is a function becasue for each x-value there is only one y-value.
Step-by-step explanation:
When using best subsets regression with a model that has four independent variables, a total of ________ different combinations of regression models will be considered.
a. 4
b. 15
c. 12
d. 18
Answer:
b. 15
Step-by-step explanation:
Given that:
There are 4 independent variables, then the subset regression total is 2⁴ = 16 attainable regression model.
However, out of these 16 regression models, 1 Model contains no predictors which only intercept 3 Model with [tex](X_1), (X_2), (X_3)[/tex], 3 Model with[tex](X_1,X_2), (X_1,X_3), (X_2,X_3)[/tex]. and 1 Model which comprises all the independent variables.
Therefore, when applying best subsets regression with a model that possesses four (4) independent variables, the number of different combinations of regression models that can be considered is 15.
LA cow's stomach produces about 20
cups of gastric acid each day. If I liter
equals 4.2 cups, how many liters is this?
Round your answer to the nearest liter.
A. 4 liters C. 80 liters
B. 5 liters D. 84 liters
find the area of the right triangle with a base of 38cm and the height of 26cm
a. 128cm
b.247cm
c.324cm
d.494cm
Which stalement correctly describes the diagram?
triangel b is a reflection of triangle a the x-axis triangle c
what is the common denominater of 1/5 and 7/10
Answer:
10 010 10 10 10 10 101 01 mo1
Step-by-step explanation:
Water is leaking out of an inverted conical tank at a rate of 10700 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 26 centimeters per minute when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Solution :
The diameter of the tank = 3 m = 300 cm
Radius of the tank = 1.5 m = 150 cm
Height of the tank = 8 m = 800 cm
The rate of increase of height of water level = 26 cm/min
∴ [tex]$\frac{dh}{dt} = 20 \ cm/min$[/tex]
The water is leaking at a rate of = 10700 cubic centimeters per min
∴ rate out = 10,700 [tex]$cm^3 / cm $[/tex]
At time 't', the height of water level is 'h' with radius 'r' and volume 'V'.
By the property of similarity of triangles we can write
[tex]$\frac{h}{r} = \frac{800}{150} $[/tex]
[tex]$\frac{h}{r} = \frac{16}{3} $[/tex]
[tex]$r = \frac{3}{16}h$[/tex]
Volume of water at time 't' is given as
[tex]$V= \frac{1}{3} \pi r^2 h $[/tex]
[tex]$V= \frac{1}{3} \pi \left(\frac{3}{16}h\right)^2 h $[/tex]
[tex]$V =\frac{3}{256} \pi h^3$[/tex]
Now differentiating w.r.t 't'
[tex]$\frac{dv}{dt} = \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]
The rate of increase in tank = rate of inward flow - rate of outward flow
[tex]$\frac{dv}{dt} $[/tex] = rate of inward flow - 10,700
rate of inflow = 10,700 + [tex]$ \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]
Substituting the values we get
rate of inflow = 10,700 + [tex]$ \frac{9}{256} \times 3.14 \times (250)^2 \times 26$[/tex]
∴ rate of inward flow = [tex]$1.9 \times 10^5 \ cm^3/min$[/tex]
The gym has 4 times as many baseballs than basketballs the gym has 25 total balls how many more baseballs than basket balls does the gym have
Let [tex]b[/tex] be the number of baseball and [tex]k[/tex] be the number of basket ball.
We have the following system:
[tex]\begin{cases}b=4k\\b+k=25\end{cases}[/tex]
Substitute the first equation into the second:
[tex]4k+k=25 \iff 5k=25 \iff k=5[/tex]
which yields
[tex]b=4k=4\cdot 5 = 20[/tex]
So, there are 20 baseballs and 5 basketballs, meaning that there are 15 more baseballs than basketballs.
Which phrase represents the meaning of the symbol ?
O less than
O equal to
O greater than
O divided by
Answer:
C. Greater than.
Step-by-step explanation:
Answer:
greater than
OR
C.
The regular price of a bicycle is $120. The bicycle is on sale for 20% off. Which expression is equal to the sale price, in dollars, of the bicycle?
Answer:
$96
Step-by-step explanation:
120 x .20 = 24
120 -24 =$96
If you divide a polynomial f(x) by the factor (x - 4), the remainder will be equal to f(-4). true or false ?
Answer:
FALSEStep-by-step explanation:
Given the polynomial f(x) divided by x-4
To check whether the remainder will be equal to f(-4), we need to get whether the value of x is -4 if we set x-4 to zero as shown;
x- 4 = 0
Add 4 to both sides
x - 4 + 4 = 0+4
x = 4
Since the value of x is 4 not -4 hence the remainder will NOT be equal to f(-4). The answer is false
Help quick please algebra one
Answer:
b. (5,-2)
Step-by-step explanation:
When we substitute the x and y values into the equation and simplify the equation we end up with these equations:
-2 ≤ 0
-2 ≥ -9
Once simplified, the equations are proven to be correct.
(I hope this helps)
Answer:
The answer is B, (5,-2)
Step-by-step explanation:
If you input the x and y values from (5,-2) into the system on inequalities both the equations end up being true, while all the other make one or more solution set incorrect when you input the x and y values.
What type of triangle can have one right angle?
acute
equilateral
isosceles
scalene
Find the midpoint M of the line segment joining the points: C = (2, 7) and D= (-8, –5)
Answer:
the answer is (-3, 1)
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Step-by-step explanation:
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