Answer:
The median number of hours worked per week for the sample of 13 high school science teachers is 52.
Step-by-step explanation:
Median of a data set:
The median of a data set is the element that separates the lower 50% of the set from the upper 50%.
If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.
If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.
In this question:
Hours worked for the sample of 13 high school science teachers:
55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56
Sorting in an ascending way:
48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63
Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.
The median number of hours worked per week for the sample of 13 high school science teachers is 52.
The manager of a furniture factory finds that it costs $2400 to manufacture 60 chairs in one day and $4800 to produce 260 chairs in one day.
A) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.
B. What is the slope of the graph? What does it represent?
C) What is the y-intercept of the graph? What does it represent?
Answer:
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
Step-by-step explanation:
Given that:
X1 = 60 chairs ; y1 = 2400
X2 = 260 chairs ; y2 = 4800
Obtain the slope ; m
m = y2 - y1 / x2 - x1
m = 4800 - 2400 / 260 - 60
m = 2400 / 200
m = 12
Using the point slope relation:
y - y1 = m(x - x1)
y - 2400 = 12(x - 60)
y - 2400 = 12x - 720
y = 12x - 720 + 2400
y = 12x + 1680
C(x) = 12x + 1680
From the general slope intercept equation :
y = mx + c
m = slope ; c = intercept
Hence,
C(x) = 12x + 1680
Slope = 12
Intercept = 1680
Simplify the expression. -3(1+n)-6n
Answer:
− 3 − 9 n
Step-by-step explanation:
Simplify the expression
Find the Simple Interest
$700 deposited at an interest rate of 1.5% for 3 years
Answer:
$31.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.5%/100 = 0.015 per year,
then, solving our equation
I = 700 × 0.015 × 3 = 31.5
I = $ 31.50
The simple interest accumulated
on a principal of $ 700.00
at a rate of 1.5% per year
for 3 years is $ 31.50.
3 1/5 x 4 1/2 ayuda por favor
Answer:
14 2/5
Step-by-step explanation:
HELP PLEASE ILL GIVE YOU BRAINLEST IF U GIVE ME THE CORRECT ANSWER FOR THE QUESTION IN THE PIC
Answer:
b. f(3.5) = 52
Hope this helps!
F(-1)=4-3x
F(2)=4-3x
There are several climate zones on Earth. One type of zone is identified by shading on the map below. Together, the darker shaded areas on the map form Earth's temperate zor
EARTH'S TEMPERATE CLIMATE ZONE
North
America
Europe
CV
Africa
America
stralia
Antarctica
Based on the position of the temperate zone, how would you describe its climate?
It is the driest zone because it is close to the equator.
Climate in this zone is mild, without extreme heat or cold.
It is the wettest zone because of its nearness to Earth's poles.
Temperatures in the zone are extremely cold because of the high elevation.
Answer:
s
Step-by-step explanation:
s
The perimeter of a rectangle is 32 meters. The length is 5 less than twice the width. Find the length and the width of the rectangle.
length:___ Width:____
si el peso de la figura es de 80 N cuales son las tensiones en las cuerdas a y b
Answer: Can you translate for me? I don't know spanish.
Step-by-step explanation:
:)
I only need the answer FAST!!
Answer:
d.
Step-by-step explanation:
Answer:
2 points per minute is a required answer
Calculate the length of the diagonal AB
Answer:
AB = [tex]5\sqrt{3}[/tex] cm
Step-by-step explanation:
The diagonal of the bottom square is the hypotenuse of two right triangles with legs 5 and 5
So, the length of that diagonal, say x, of a 45-45-90 triangle where x is the hypotenuse is x = [tex]5\sqrt{2}[/tex]
Now that diagonal is a leg of the right triangle where AB is the hypotenuse and 5 is the length of the other leg.
So, [tex]x^{2} + 5^{2} = AB^{2}[/tex] = [tex](5\sqrt{2} )^{2}[/tex] + 25
= 50 + 25
= 75
Therefore AB = [tex]\sqrt{75}[/tex] = [tex]5\sqrt{3}[/tex]
Please hELLPPPPP:(((((((((((((((((
what is the value of x in this problem
Answer:
x = 12
Step-by-step explanation:
Based on the altitude theorem of a right triangle, since x is the altitude/height, therefore,
x = √(4*36)
x = √144
x = 12
15/3 x 2/2= what is the answer there are more than one I need help fast
Answer:
the answer is 5
Step-by-step explanation:
15/3=5
2/2=1
5×1=5
Answer:
5
Step-by-step explanation:
First multiply the numerators and denominators.
15 x 2 = 30
3 x 2 = 6
Then divide
30/6 = 5
За + 4 = 25 whats the answer
Answer: 7
Step-by-step explanation:
3a + 4 = 21
Step 1 subtract 4 from both sides.
3a+4−4=25−4
3a = 21
Step 2: Divide both sides by 3.
3a / 3 = 1
21 / 3 = 7
a = 7
r+4 at r=13 help me
The value of the expression is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
r + 4
When r = 13
r + 4
= 13 + 4
= 17
Thus,
The value is 17.
Learn more about expressions here:
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The coordinates of point T are (0,4). The midpoint of ST is (5,-7). Find the coordinates of point S.
Answer:
(10, -18)
Step-by-step explanation:
midpoint formula: (sum of both x-values/2, sum of both y-values/2)
(0 + x)/2 = 5
x = 10
(4 + y)/2 = -7
y = -18
what is 1 4/5 + (-3 4/10) show your work !
Answer:
[tex]-\frac{8}{5} = -1\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]1 \frac{4}{5} = \frac{9}{5}[/tex]
[tex]-3 \frac{4}{10} = -\frac{34}{10} = -\frac{17}{5}[/tex]
Multiply the whole number by the denominator and add that to the numerator. I simplified [tex]-\frac{34}{10}[/tex] by dividing by two getting [tex]-\frac{17}{5}[/tex]. Then add [tex]\frac{9}{5}[/tex] and [tex]-\frac{17}{5}[/tex] together. Then put [tex]-\frac{8}{5}[/tex] into a mixed fraction. How many times does 5 go into 8 and what is the remainder? The answer is -1 times and the remainder is 3. The mixed fraction is [tex]-1 \frac{3}{5}[/tex].
The expression 1 4/10 + (-3 4/10 gives the value -1 3/5.
What are Mixed Fractions?Mixed fractions are type of fractions which consist of a whole number part and a fractional part.
Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.
Given expression is,
1 4/5 + (-3 4/10)
Since a positive and negative combined, it becomes negative.
Also mixed fractions can be converted into improper fractions.
1 4/5 + (-3 4/10) = 1 4/5 - 3 4/10
= [(1 × 5 + 4) / 5] - [(3 × 10 + 4) / 10]
= (9 / 5) - (34 / 10)
Making the denominator of first fraction equal by multiplying with 2 on both numerator and denominator,
1 4/5 + (-3 4/10) = [(9 × 2) / (5 × 2)] - [34 / 10]
= (18 / 10) - (34 / 10)
= -16 / 10
= -1 6/10
= -1 3/5
Hence the value of the expression is -1 3/5.
Learn more about Mixed Fractions here :
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Katie got a loan for $10,000. The interest rate is 5%. How much interest will she pay in one year?
Answer: 10,000 x 0.05 = $500
0.05 is equal to 5%
$500
Please brainlyist
n
The Federal Reserve
manages the nation's currency and money supply by
manipulating interest rates and acting as a lender to banks.
overseeing bank collections and payments on loans.
dictating criteria and setting loan terms for banks.
offering investment advice and adjusting interest rates.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Financials.
Hence,according to the statement given above, the correct answer is
option 1.)
===> Manipulating interest rates and acting as a lender to the banks.
Help me pls pls pls
Answer:
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what is 35 degrees in one second
Answer:
35.0169°
Step-by-step explanation:
35.0169°
I hope this helps you!!
If sally had two apples and jerry have her 5 more how many does she have now.
Answer:
7
Step-by-step explanation:
2 + 5 = 7
ME AJUDEM PFVV!!(CONTA NA FOTO)
(espero que esto ayude) La respuesta es D que es [tex]\frac{2}{3}[/tex]
HELP!!!! PLEASE SOMEONE SHOW ME HOW TO DO THIS PROBLUM!!! WILL GIVE BRAINLIST
What is the exact circumference of a circle with a radius of 3 ft?
Enter your answer in the box.
a
ft
Answer:
C≈18.85 ft
this is the answer I think
Answer:
The answer is 18.85ft
Step-by-step explanation:
To explain is the radius is 3ft and the circumference is 2nr
To show how to solve will be like this and look down here C=2πr=2·π·3≈18.84956ft
18.84956ft round to the nearest is 18.85ft
what is the surface area of a cube with the dimensions of 3in by 3in by 3in?
Answer:
54
Step-by-step explanation:
2. A container of oil holds 585 gallons. How many
containers each holding 4.5 gallons will be needed if
all the oil is to be transferred to the smaller
containers?
Answer:
130
Step-by-step explanation:
585/4.5=130
Subtract. Write your answer in simplest form.
5 1/2- 1 2/7
Answer:
5 1/2- 1 2/7
11/2-9/7
(11×7-9×2)/14
59/14
4 3/14
Last week a pound of grapes cost $3. This week they are 12% more expensive.
What is the current price of a pound of grapes?
Enter your answer in the box
Answer:
3.36
Step-by-step explanation:
3+12%=3.36
1 Frederick planted a tree in his backyard. He is 6 feet tall and his shadow along the ground has a length of 8 feet. The tree is currently casting a shadow along the ground that has a length of 24 feet. How tall is the tree?
Answer:
72 ft. 6ft x8ft +24=72 ft