1) (1, -1), (0, -4), (3, 5), and (-2, -10).
2) (5, 2) and (-8, 2)
Suppose f is a linear function such that f(4) = 8 and f(7) = 3. Find the equation for f
Answer:
f(x) = -5/3 x +44/3
Step-by-step explanation:
helo : let f(x)= ax+b
f(4) = 8 means : a(4)+b=8 and f(7) = 3 means : a(7)+b=3
you have this system : 4a +b = 8....(*)
7a+b = 3 ....(**)
solve this system use (*) : b = 8 -4a and use (**) : b = 3-7a
so : 8-4a = 3-7a
-4a+7a = 3-8
3a = -5 so a = -5/3
but b =8-4a so : b= 8-4(-5/3) =8+20/3 =44/3
f(x) = -5/3 x +44/3
Adding and subtracting fractions with different denominators
Answer:
1)23/20
2)14/5
3)47
4)27/56
5)10/7
6)23/14
7)73/35
8)7/4
Step-by-step explanation:
1)multiply both fractions to get 20 as a common denominator
15/20+8/20=23/20
2)make 1 be 5/5
5/5+9/5=14/5
3)multiply both fractions to get 14 as a common denominator
26/14+21/14=47
4) multiply both sides to get 56 as a common denominator
35/56-8/56=27/56
5)make one 7/7
7/7+3/7=10/7
6)make 14 as the common denominator
2/14+21/14=23/14
7)make 35 the common denominator
28/35+45/35=73/35
8)make 1/2 be 2/4
5/4+2/4=7/4
Answer:
1.[tex]1\frac{3}{20}[/tex]
2.[tex]2\frac{4}{5}[/tex]
3.[tex]3\frac{5}{14}[/tex]
4.[tex]\frac{27}{56}[/tex]
5.[tex]1\frac{3}{7}[/tex]
6.[tex]1\frac{9}{14}[/tex]
7.[tex]2\frac{3}{35}[/tex]
8.[tex]1\frac{3}{4}[/tex]
Step-by-step explanation:
Given the following questions:
In order to add or subtract fractions we must find the common denominator, and then add the numerators. To subtract we complete the same steps but subtract the numerators instead of adding them. Of course, converting the improper fraction into a mixed number if needed.
Question one:
[tex]\frac{3}{4} +\frac{2}{5}[/tex]
[tex]CD=20[/tex]
[tex]\frac{3}{4} \times5=\frac{15}{20}[/tex]
[tex]\frac{2}{5} \times4=\frac{8}{20}[/tex]
[tex]\frac{15}{20} +\frac{8}{20}[/tex]
[tex]15+8=23[/tex]
[tex]=\frac{23}{20}[/tex]
Convert into mixed number:
[tex]\frac{23}{20}[/tex]
[tex]=\frac{23}{20}=23\div20=1\frac{3}{20}[/tex]
[tex]=1\frac{3}{20}[/tex]
Your first answer is indeed "1 3/20."
Question two:
[tex]1+\frac{9}{5}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]\frac{1}{1} +\frac{9}{5}[/tex]
[tex]CD=5[/tex]
[tex]\frac{1}{1} \times5=\frac{5}{5}[/tex]
[tex]\frac{9}{5} \times1=\frac{9}{5}[/tex]
[tex]\frac{5}{5} +\frac{9}{5}[/tex]
[tex]5+9=14[/tex]
[tex]=\frac{14}{5}[/tex]
Convert into mixed number:
[tex]\frac{14}{5}[/tex]
[tex]\frac{14}{5}\di=14\div5=2\frac{4}{5}[/tex]
[tex]=2\frac{4}{5}[/tex]
Your second answer is indeed "2 4/5."
Question three:
[tex]\frac{13}{7} +\frac{3}{2}[/tex]
[tex]CD=14[/tex]
[tex]\frac{13}{7} \times2=\frac{26}{14}[/tex]
[tex]\frac{3}{2}\times7=\frac{21}{14}[/tex]
[tex]\frac{26}{14} +\frac{21}{14}[/tex]
[tex]26+21=47=\frac{47}{14}[/tex]
[tex]=\frac{47}{14}[/tex]
Convert into mixed number:
[tex]\frac{47}{14}[/tex]
[tex]\frac{47}{14}=47\div14=3\frac{5}{14}[/tex]
[tex]=3\frac{5}{14}[/tex]
Your third answer is indeed "3 5/14."
Question four:
[tex]\frac{5}{8} -\frac{1}{7}[/tex]
[tex]CD=56[/tex]
[tex]\frac{5}{8} \times7=\frac{35}{56}[/tex]
[tex]\frac{1}{7} \times8=\frac{8}{56}[/tex]
[tex]\frac{35}{56} -\frac{8}{56}[/tex]
[tex]35-8=27[/tex]
[tex]=\frac{27}{56}[/tex]
Your fourth answer is indeed "27/56."
Question five:
[tex]1+\frac{3}{7}[/tex]
[tex]1=\frac{1}{1}[/tex]
[tex]CD=7[/tex]
[tex]\frac{1}{1}\times7=\frac{7}{7}[/tex]
[tex]\frac{3}{7} \times1=\frac{3}{7}[/tex]
[tex]\frac{7}{7} +\frac{3}{7}[/tex]
[tex]7+3=10[/tex]
[tex]=\frac{10}{7}[/tex]
Convert into mixed number:
[tex]\frac{10}{7}[/tex]
[tex]\frac{10}{7} =10\div7=1\frac{3}{7}[/tex]
[tex]=1\frac{3}{7}[/tex]
Your fifth answer is indeed "1 3/7."
Question six:
[tex]\frac{1}{7} +\frac{3}{2}[/tex]
[tex]CD=14[/tex]
[tex]\frac{1}{7} \times2=\frac{2}{14}[/tex]
[tex]\frac{3}{2} \times7=\frac{21}{14}[/tex]
[tex]\frac{2}{14} +\frac{21}{14}[/tex]
[tex]2+21=23[/tex]
[tex]=\frac{23}{14}[/tex]
Convert into mixed number:
[tex]\frac{23}{14}[/tex]
[tex]\frac{23}{14}=23\div14=1\frac{9}{14}[/tex]
[tex]=1\frac{9}{14}[/tex]
Your sixth answer is indeed "1 9/14."
Question seven:
[tex]\frac{4}{5} +\frac{9}{7}[/tex]
[tex]CD=35[/tex]
[tex]\frac{4}{5} \times7=\frac{28}{35}[/tex]
[tex]\frac{9}{7} \times5=\frac{45}{35}[/tex]
[tex]\frac{28}{35} +\frac{45}{35}[/tex]
[tex]28+45=73[/tex]
[tex]=\frac{73}{35}[/tex]
Convert into mixed number:
[tex]\frac{73}{35}[/tex]
[tex]=\frac{73}{35}=73\div35=2\frac{3}{35}[/tex]
[tex]=2\frac{3}{35}[/tex]
Your seventh answer is indeed "2 3/35."
Question eight:
[tex]\frac{5}{4} +\frac{1}{2}[/tex]
[tex]CD=8[/tex]
[tex]\frac{5}{4}\times2=\frac{10}{8}[/tex]
[tex]\frac{1}{2} \times4=\frac{4}{8}[/tex]
[tex]\frac{10}{8}+\frac{4}{8}[/tex]
[tex]10+4=14[/tex]
[tex]=\frac{14}{8}[/tex]
Simplify by reducing:
[tex]\frac{14}{8}[/tex]
[tex]\frac{14}{8}\div2=\frac{7}{4}[/tex]
[tex]=\frac{7}{4}[/tex]
Convert into mixed number:
[tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4} =7\div4=1\frac{3}{4}[/tex]
[tex]=1\frac{3}{4}[/tex]
Your final answer is indeed "1 3/4."
Hope this helps.
change the decimal to a fraction in simple form.
Answer:
The answer is 3/4
Answer:
it's 3/4
Step-by-step explanation:
.075 as a fraction is 75/1000 and 75 ÷ 1000 is 0.75 and 0.75 as a fraction is 3/4
Josephine has a box of 5 grey balls and 3 white balls. What is the probability that she will pull a grey ball?
Answer: 5 to 8
Step-by-step explanation:
Since there are 5 grey balls and 3 white balls, you add the number of white and grey balls to get the total balls which is 8, then put the number of grey balls over the 8 which comes to [tex]\frac{5}{8}[/tex] or 5 to 8 probability of getting a grey ball.
This also does not reduce so 5 to 8 is the final answer.
1.3.7Rock-paper-scissorsHave you ever played rock-paper-scissors (or Rochambeau)? It’s considered a "fair game" in that the two players are equally likely to win (like a coin toss). Both players simultaneously display one of three hand gestures (rock, paper, or scissors), and the objective is to display a gesture that defeats that of your opponent. The main gist is that rocks break scissors, scissors cut paper, and paper covers rock, which explored players’ choices in the game rock-paper-scissors.Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 times out of 400 games, Friend B chose scissors 20 times out of 120 games, and Friend C chose scissors 65 times out of 300 games. Suppose that for each friend you want to test whether the long-run proportion that the friend will pick scissors is less than 1/3.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The number of outcome is 3 (rock paper and scissors)
The number of game you and the first friend played is a = 400
The number of times friend A chose scissors is b = 100
The number of game you and the second friend played is c= 120
The number of times friend B chose scissors is d = 20
The number of game you and the third friend played is e = 300
The number of times friend B chose scissors is f = 65
Generally the probability of success of each outcome is
[tex]p = \frac{1}{3} = 0.33[/tex]
Generally the probability of failure of each outcome is
[tex]q = 1-p[/tex]
=> [tex]q = 1-\frac{1}{3}[/tex]
=> [tex]q = \frac{2}{3} = 0.67[/tex]
Generally the proportion of scissors chosen by friend A is mathematically represented as
[tex]p_1 = \frac{b}{a}[/tex]
=> [tex]p_1 = \frac{100}{400}[/tex]
=> [tex]p_1 = 0.25[/tex]
Generally the proportion of scissors chosen by friend B is mathematically represented as
[tex]p_2 = \frac{d}{c}[/tex]
=> [tex]p_2 = \frac{20}{120}[/tex]
=> [tex]p_2 = 0.167[/tex]
Generally the proportion of scissors chosen by friend B is mathematically represented as
[tex]p_3 = \frac{f}{e}[/tex]
=> [tex]p_3 = \frac{65}{300}[/tex]
=> [tex]p_3 = 0.2167[/tex]
Generally the standardized value for friend A is mathematically represented as
[tex]z_1 = \frac{p_1 - p}{\sqrt{\frac{p* q}{a} } }[/tex]
=> [tex]z_1 = \frac{0.25- 0.33}{\sqrt{\frac{0.33* 0.67}{400} } }[/tex]
=> [tex]z_1 = -3.4[/tex]
Generally the standardized value for friend B is mathematically represented as
[tex]z_2 = \frac{p_2 - p}{\sqrt{\frac{p* q}{c} } }[/tex]
=> [tex]z_2 = \frac{0.167- 0.33}{\sqrt{\frac{0.33* 0.67}{120} } }[/tex]
=> [tex]z_2 = -3.8 [/tex]
Generally the standardized value for friend C is mathematically represented as
[tex]z_3 = \frac{p_3 - p}{\sqrt{\frac{p* q}{e} } }[/tex]
=> [tex]z_3 = \frac{0.2167- 0.33}{\sqrt{\frac{0.33* 0.67}{300} } }[/tex]
=> [tex]z_3 = -4.17 [/tex]
Answer: C
reason: There are special rules to follow when an expression is raised to the power of 0 or 1. Remember these rules when using numerical expressions involving the exponents 0 and 1:
Any number raised to the power 0 is equal to 1. For example, 120 is equal to 1 and 300 is equal to 1. However, this rule does not apply when 0 is the base: 0 raised to any power other than 0 is equal to 0, and 00 is not defined.
Any number raised to the power 1 is equal to the number itself. For example, 121 is equal to 12, 301 is equal to 30, and 01 is equal to 0
A numerical expression contains numbers and operations but not the equality symbol (=). Here are some examples of numerical expressions:
15 + 4 − 2
56 ÷ 7 + 5 × 5 × 5
32 × 5 + 7
Numerical expressions can also be written in words, such as "nine times six minus seven" and "five divided by ten plus two."
Look at the expression 56 ÷ 7 + 5 × 5 × 5. Instead of writing 5 three times in the expression, we can replace it with a whole-number exponent. For that, we write 5 × 5 × 5 as 53:
56 ÷ 7 + 5 × 5 × 5
56 ÷ 7 + 53.
Let's write 2 × 3 × 3 × 3 × 3 × 3 × 3 with a whole-number exponent. Here, 3 is multiplied by itself and occurs 6 times in the expression. Instead of writing 3 six times, we can write 3 × 3 × 3 × 3 × 3 × 3 as 36. So, 2 × 3 × 3 × 3 × 3 × 3 × 3 is the same as 2 × 36.
Log4 (x^2-49) -5log4 (x+7)=
15 POINTS Please explain the answer. The graph of f(x) = x has been transformed to the graph of g (x) = x + 2.
Which of the transformations below have occurred? Select all that apply.
A. a translation 2 units upwards
B. a translation 2 units downward
c. a translation 2 units to the right
D. a translation 2 units to the left
Answer:
A.
Step-by-step explanation:
The graph was shifted (translated) 2 units upward.
This is because the 2 is being added onto the x. If you were to set x to 0, you result with a y of 2, making it the y-intercept.
Rule In Out 89 88 77 61 50 39 22
In Ascending order=22,39,50,61,77,88,89
The Product Rule: If there are n(A) ways to do A and n(B) ways to do B, then the number of ways to do A and B is n(A) × n(B). This is true if the number of ways of doing A and B are independent; the number of choices for doing B is the same regardless of which choice you made for A.
if there are two angles that are supplementary,and the first angle has a measure of 137, what is the measure of the second angle
Answer:
43°
Step-by-step explanation:
supplementary angles sum to 180° , then
second angle + 137° = 180° ( subtract 137° from both sides )
second angle = 43°
PLEASE HELP!!!
a^3 and a^7 are examples of __________________ with the same base. What is the missing blank?
Answer:
I'm not sure of the exact term in the blank, but a^3 and a^7 are both exponents with the same base meaning you can add the exponents to create one.
Step-by-step explanation:
write as a single power of 7.
7¹⁰ ÷ 7 =
Answer:
7^9
Step-by-step explanation:
when dividing you take away powers.
Answer:
7 to the power of 9
Step-by-step explanation:
7 by it self is 7 to the power of 1, and when you are dividing a power to subtract the power on top, so 10-1=9 and the answer is 7 to the power of 9 or 7^9
At the movies, Chris can buy 2 tickets for $20.50. At this rate, how much will it cost to buy 7 tickets?
Divide by 2 to find the unit rate and multiply by 7 to find the cost of 7 units.
20.5/2 = 10.25.
10.25 times 7 = 71.75
It will cost $71.75 to buy 7 tickets.
find the slope of the line below. enter your answer as a fraction or a decimal. use a slash mark (/) as the fraction bar if necessary.
Answer:
[tex]m = \frac{4}{3} = 1.3334[/tex]
Step-by-step explanation:
To find the slope of a line, all you have to do is determine 2 points that pass through this line;
for example, in this case,
(-4,-2) (4,4)
Use the equation;
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 4)}{4 - ( - 2)} = \frac{4 + 4}{4 + 2} [/tex]
[tex]m = \frac{8}{6} = \frac{4}{3} [/tex]
This line passes through the point (1,0) and that is your y-intercept.
[tex]y = \frac{4}{3} x + 1[/tex]
The requried slope of the given line is m = 3/4.
What is the slope of the line?The slope of the line is defined as the ratio of the rise and run of the straight line on the curve is given as;
m = (y₂ - y₁) / (x₂ - x₁)
Here,
From the graph, we have (-4, -2) and (4, 4).
The slope of the line is given as:
m = (y₂ - y₁) / (x₂ - x₁)
m = (4+2)/(4+4)
m = 6/8
m = 3/4
Thus, the requried slope of the given line is m = 3/4.
Learn more about slopes here:
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calculatethe distanc. 5 hours at 50 km/h
Answer:
250 km/h
Step-by-step explanation:
5x50=250
Hope it helps!
brainliest, ty!
Brainliest if correct
Answer:
4
Step-by-step explanation:
6 - (-12) / (-6)
6 + 12 / (-6) (because subtracting a negative is the same as adding)
6 + (-2)
4
I hope this helps! Have a lovely day! :)
(Give brainliest to the other person bc they got it right first)
Answer:
Evaluate 6-(-12) / (-6)
6+12 / -6(The minus change to plus because when 2 minuses meet they make +(plus))
6-2(This is 6-2 because 12 /-6 is -2 because the negative takes over it like dividing 12 by 6 but with not negative)
4
The answer is 4
Help me with question 1 and 2 only!
Answer:
question 1 : That symbol in question 1 represents 10 houses because 20/2 = 10 I.e it half (1/2) of the first one
question 2 : They built more than 100 houses In the following months:
January 2009
August 2009
December 2009
5(x-2)+3(2-x)
simplify
Answer:
=2x-4
Step-by-step explanation:
Answer:
The fully simplified form is2x-4
Step-by-step explanation:
Use Distributive property
5(x-2)=5x-10
3(2-x)=6-3x
5x-10+6-3x
Combine like terms
2x-4
A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to
water?
A. 2 to 9
B. 3 to 8
C. 3 to 9
D. 9 to 3
Answer: C. 3 to 9
You simply add 1 to each given value (8 and 2)
The ratio 9 to 3 represents the ratio of water to salt, so 3 to 9 is the ratio of salt to water.
Edit: Realized I had the parts mixed up, but the solution has been fixed
Directions
You cut a pizza cut into 2 equal slices and eat 1 slice, or 1/2
of the pizza. You cut another pizza of the same size cut into 4
equal slices, but you still only eat 1 slice. This time you've
eaten only 1/4 of the pizza, which is less than 1/2.
As you divide the pizza into more slices, the bottom number
(the denominator) gets bigger, but the size of each slice gets
smaller.
Drag the fractions in order from least to greatest.
1/3
1/4
1/2
1/8
Answer:
1/81/41/31/2Step-by-step explanation:
Directions
You cut a pizza cut into 2 equal slices and eat 1 slice, or 1/2
of the pizza. You cut another pizza of the same size cut into 4
equal slices, but you still only eat 1 slice. This time you've
eaten only 1/4 of the pizza, which is less than 1/2.
As you divide the pizza into more slices, the bottom number
(the denominator) gets bigger, but the size of each slice gets
smaller.
Drag the fractions in order from least to greatest.
1/3
1/4
1/2
1/8
-------------------
1/3 = 0.33
1/4 = 0.25
1/2 = 0.5
1/8 = 0.125
so
1/8
1/4
1/3
1/2
Step-by-step explanation:
IN ORDER OF INCREASING ORDER OR FROM LEAST TO GREATEST =1/8, 1/4, 1/3 ,1/2
X degree + X degree + (2x+3)degree + (2x+3) degree= 360 degrees
Answer:
Step-by-step explanation:
x + x + 2x + 3 + 2x + 3 = 360
6x + 6 = 360
Divide by 6
x + 1 = 60
x = 60 - 1 = 59
Select the correct answer.
y – 6 = 4(x- 4)
Which of the following shows a graph of the equation above?
Answer:
D) Graph Z
Step-by-step explanation:
Convert from point-slope to slope-intercept form
[tex]y-6=4(x-4)\\\\y-6=4x-16\\\\y=4x-10[/tex]
This tells us that the line intersects the y-axis at (0,-10) and that our slope is 4. Therefore, the best choice given the options is D, graph Z.
The linear equation y = 4x - 10 represents the graph z. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 6 = 4(x - 4)
Convert the equation into slope-intercept form. Then we have
y - 6 = 4(x - 4)
y - 6 = 4x - 16
y = 4x - 16 + 6
y = 4x - 10
The slope of the line is 4 and the y-intercept of the line is negative 10. Then the equation represents the graph z, then option D is correct.
More about the linear equation link is given below.
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18. A cell phone manufacturer found that,
on average, 1.25% of every 100 cell
phones produced by the company's
factory had a defective antenna. What
decimal is equivalent to 1.25%?
a
A 0.0125
B 0.125
C 1.25
D 12.5
Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.
Answer:
Rectangular prism X
Step-by-step explanation:
For rectangular prism X:
7*3*6=126 cm³
For rectangular prism Y:
5*2*11=110 cm³
Rectangular prism X holds more because 126 is greater than 110
Hope this helps :)
Find the area of the figure. (Sides meet at right angles.)
5 cm
4 cm
A cm
5 cm
5 cm
4 cm
4 cm
Answer:
80 cm²Step-by-step explanation:
to get the area of the given figure,
we need to split it in to two (see attached)
then area of a rectangle = length x width
A1 = 15 cm x 4 cm = 60 cm²
A2 = 5 cm x 4 cm = 20 cm²
Area = A1 + A2
= 60 + 20
= 80 cm²
Area in this figure will be 80cm².
How to calculate the area of the rectangle?The area of the rectangle can be calculated by the product of length and breadth of the rectangle.
A=l*b
where l is length and b is the breadth.
So according to asked question in the drawn figure,
connect the point B and G.
now this figure will give two rectangle i.e. ABGH and CDEF
Rectangle ABGH has length l=5cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²
Now CF=CB+BG+GF=5+5+5=15
Rectangle CDEF has length l=CF=15cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²
Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF
=20cm²+60cm²
=80cm²
Therefore area in this figure will be 80cm².
Learn more about area of the rectangle
here: https://brainly.com/question/2607596
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Tanisha and elicia and ana are cousins. Tanisha is twice as old as Ana, and Elicia is two years older than tanisha. the summ if all their ages is 37. use the 5D process to determine the age of each girl
Answer:
Tanisha = 14 years
Ana = 7 years
Elicia = 16 years
Step-by-step explanation:
Let T = age of Tanisha
Let A = age of Ana
Let E = age of Elicia
Tanisha is twice as old as Ana:
T = 2A
⇒ A = (1/2)T
Elicia is 2 years older than Tanisha:
E = 2 + T
Sum of all their ages is 37:
A + E + T = 37
Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:
⇒ (1/2)T + 2 + T + T = 37
⇒ (5/2)T = 35
⇒ T = 14
If T = 14, then
A = (1/2)T = (1/2) 14 = 7
If T = 14, then
E = 2 + T = 2 + 14 = 16
Can someone help me with this? i don’t quite understand this.
Answer:
Step 1) Rotate 90 degrees counterclockwise around the origin
Step 2) Shift 5 units down
=======================================================
Explanation:
Focus on one of the corner points of figure S.
I'll focus on (9,1)
Apply a 90 degree counterclockwise rotation on this point, and rotate it around the origin.
The rotation rule is [tex](x,y) \to (-y,x)[/tex]
This means [tex](9,1) \to (-1,9)[/tex] meaning (9,1) rotates to (-1,9)
Notice that (9,1) on figure S corresponds to (-1,4) on figure T.
This means after arriving to (-1,9), we need to somehow apply a shifting translation to get to (-1,4)
To get from (-1,9) to (-1,4) we shift the point down 5 units.
-----------------------
To recap:
We rotated (9,1) around the origin 90 degrees counterclockwise to get to (-1,9)Then we shifted (-1,9) down 5 units to get to (-1,4)If you apply that rotation and shifting rule to each of the four corner points of figure S, then you'll end up with figure T.
Figure S is known as the preimage while figure T is the image.
An airliner carries 200 passengers and has doors with a height of 72in. Height of men is normally distributed with a mean of 69 in, and a standard deviation of 2.8 in. and half of 200 passengers are men. Find z score of the sample means. Find the probability that mean height of 100 men is less than 72 in.
Answer:
Step-by-step explanation:
a) 0.6406; b) 1.000; c) C. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend; d) B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.
Stanley is building a rectangular fence 44feet of fencing. If the width is two less than half the length, what is the width of the fence? Write an equation and solve.
Answer:
The width of the fence measures 6 feet
Step-by-step explanation:
Firstly, we assign variables.
Let the width of the fence be represented by w and the length by l
Now let’s get what the length would be. width is 2 less than half length
w = l/2 - 2
or simply l/2 = w + 2
which is same as l = 2(w + 2)
Now the perimeter of the fencing is 44. The perimeter of a rectangle can be calculated using the formula
P = 2(l + w)
Now let’s insert what we have:
P = 44 and l = 2(w + 2)
44 = 2(2(w+2) + w)
44 = 2(2w + 4 + w)
44 = 2(3w + 4)
44 = 6w + 8
6w = 44-8
6w = 36
w = 36/6
w = 6 feet
Step-by-step explanation:
the radius of a clock is 8 3/4 in what is its area to the nearest whole number
Answer:
241 units² (nearest whole number)
Step-by-step explanation:
**Assuming the clock is a circular shape**
Area of a circle = [tex]\pi r^2[/tex]
Given:
radius = 8 3/4 in = 8.75 in⇒ area = [tex]\pi[/tex] × 8.75²
= 240.5281875...
= 241 units² (nearest whole number)
Answer:241
Step-by-step explanation:
A) 9.5106
B) 30.7768
C) 10.5146
D
Answer:
A
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