Answer:
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Step-by-step explanation:
Given that;
the frequencies of there alternatives are;
Frequency A = 60
Frequency B = 12
Frequency C = 48
Total = 60 + 12 + 48 = 120
Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;
Relative Frequency A = Frequency A / total = 60 / 120 = 0.5
Relative Frequency B = Frequency B / total = 12 / 120 = 0.1
Relative Frequency C = Frequency C / total = 48 / 120 = 0.4
therefore;
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
what linear equation in slope intercept from does this graph represent?
Answer:
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Step-by-step explanation:
The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.
We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].
Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).
Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.
Let's substitute in our points.
[tex]\frac{150-100}{3-0}[/tex]
Simplify.
[tex]\frac{50}{3}[/tex]
Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].
We'll put that in our equation for a line and...bam!
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
the Pythagorean theorem
please help answer all the questions
Answer:
Step-by-step explanation:
A.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]16^{2} +20^{2}= c^{2}[/tex]
256 + 400 = [tex]c^{2}[/tex]
656 = [tex]c^{2}[/tex]
25.6 = c
__________________________________________________________
B.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]25^{2}+ 10^{2} = c^{2}[/tex]
625 + 100 = [tex]c^{2}[/tex]
725 = [tex]c^{2}[/tex]
26.9 = c
__________________________________________________________
C.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]12^{2} +10^{2}= c^{2}[/tex]
144 + 100 = [tex]c^{2}[/tex]
244 = [tex]c^{2}[/tex]
15.6 = c
__________________________________________________________
D.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]26^{2}+ 24^{2} =c^{2}[/tex]
676 + 576 = [tex]c^{2}[/tex]
1,252 = [tex]c^{2}[/tex]
35.4
__________________________________________________________
Sry it takes a lot of time to put in these equations and all that
Hope it helped!
Which of the following terms correctly describe the object below?
Check all that apply.
Please helllp meeee !!!
Answer:
B
Step-by-step explanation:
8/5=1.6
Answer:
b
Step-by-step explanation:
8/5=1.6
The ellipse with center C(2, -3), vertices V(-8,-3) and V2(12,-3), and foci F1(-4,-3) and F2(8,-3). 6.
The ellipse with vertices V.(-1,-4) and V2(-1,6), and foci F(-1,-3) and F2(-1,5).
Answer:
(x-2)²/100 + (y+3)²/64 = 1
Step-by-step explanation:
C (2,-3): h=2 k=-3
semimajor axis (CV): a=12-2=10
center-foci: c=8-2=6
semi minor axis: b² = a²-c²= 100 - 36 = 64
equation: (x-h)²/a² + (y-k)²/b² = 1
(x-2)²/100 + (y+3)²/64 = 1
What 12x12 I need help please help me
Answer:
144
Step-by-step explanation:
-0- Easy :D
What is the reciprocal of 5/6
Answer:
6/5
Step-by-step explanation:
Answer:
The reciprocal of 5/6 would be 6/5
answer ??????????????????
Answer:
The answer is 5x
Step-by-step explanation:
please help me i’ll mark brainliest, comment, and rate 5 stars
Answer:
c...........................
Ace gained $ 176 by selling 32 meters cloth for $1496. Find his loss per meters he sold it for $1276
Answer:
Selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Step-by-step explanation:
Given that Ace earned $ 176 selling 32 meters of cloth at $ 1496, to find out his loss for each meter if he sold the total for $ 1276, the following calculation must be performed:
1496 - 176 = 1320 (stock price)
1320/32 = 41.25 (price per meter)
1276/32 = 39.87
41.25 - 39.87 = 1.37
Thus, selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Please help!!! Multiply. Write your answer in scientific notation. (5×10 – 8)(1×103)
20 pts
Answer:
4.326 x 10^ 3
Step-by-step explanation:
Correct me if wrong please :)
3.5x = 20 Round to nearest hundredths
place
Answer:
5.71
Step-by-step explanation:
x = 20/3.5 = 5.71
a triangle has 2 angles with measures of 40 degrees and 60 degrees. what is the measure of the third angle?
acute
obtuse
right
it doesnt make a triangle
Answer:
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180-40-60 = 80
80 degrees
80 degrees is an acute angle.
Answer:
It would be 80 degrees which is an acute angle
Step-by-step explanation:
A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!
Please help I don’t know how to do this
Answer:
12. 7
13. 6
Step-by-step explanation:
Answer: 12. x =7 13. x =6
Step-by-step explanation:
Both angles in the triangle has to equal to each other because they are both equivalent.
Set both expressions equal to each other and solve for x.
12. 5x = 35 Divide both sides by 5
x = 7
13. 3x = 5x - 12 Subtract 5x from both sides
-5x -5x
-2x = -12 Divide both sides by -2
x = 6
A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?
Answer:
$2750/month
Step-by-step explanation:
An anchor was dropped into the ocean. It sank 60 feet below sea level in 5 seconds. What integer represents the anchor’s change in elevation per second?
Answer:
1245.89
Step-by-step explanation:
fthgxdtyujbcxfdrtyuhjnb bcfdtyhjnbcxdftgyhjn cftyghjn vcfghjnbvfghj
Which polynomial can be factored using the binomial theorem?
81x2 + 117x + 169
81x2 + 234x + 169
6,561x4 – 9,477x3 + 13,689x2 – 19,773x + 28,561
6,561x4 – 18,954x3 + 27,378x2 – 39,546x + 28,561
Answer:
B.) 81x2 + 234x + 169
Step-by-step explanation:
divide the stars into 3 equal groups .
How many stars are in each group ?
what is 1/3 of 9 ?
Answer: 3
Step-by-step explanation: Divide 9 by 3
pls help asap!! no trolls
Answer:
7
Step-by-step explanation:
а>12-6
A student takes 25 minutes to solve 10 math problems in class if the student solve similar problems at the same rate how many minutes will it take the student to solve 12 math problems
Answer:
The answer would be 30 minutes
Step-by-step explanation:
Find how many ties 12 can go into 10. (Divide 12 divided by 10=1.2)
Multiply 25 times 1.2 (30)
Your answer would be 30 minutes
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest!!!
This graph and table show the total number of cars parked in a parking lot, n, after it was open for t hours.
Plot and table. Plot has horizontal axis from 0 to 3 in increments of 1, labeled t, and vertical axis from 0 to 18 in increments of 2, labeled n. Plot shows the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 6 right parenthesis, left parenthesis 2 comma 12 right parenthesis, and left parenthesis 3 comma 18 right parenthesis. Two-column table has column Time in hours left parenthesis t right parenthesis showing values 0, 1, 2, 3 and column Number of cars parked left parenthesis n right parenthesis showing values 0, 6, 12, 18.
What is an equation showing the relationship between n and t?
Enter your answer by filling in the box to complete the equation.
n =
Answer: n = 6t
Explanation: i took the test
Please help again!!!!!!!!
Answer:
94.077=90+4+0.07+0.007
Step-by-step explanation:
I hope this answered your question
Answer:
a) 94.077= 90+ 4+ 0.07 + 0.007Step-by-step explanation:
I hope it helps you ❤❤find all the real and complex zeros of f(x)=x^3-7x^2+4x-28
Answer:
For [tex]x \in\mathbb{C}[/tex]
[tex]x = -2i[/tex]
[tex]x = 2i[/tex]
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-7x^2+4x-28[/tex]
For [tex]f(x) = 0[/tex]
[tex]x^3-7x^2+4x-28 = 0[/tex]
We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.
[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]
Now we have
[tex](x^2+4)(x-7) = 0[/tex]
Therefore,
[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]
So,
[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]
Once [tex]\sqrt{-1} = i[/tex]
[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]
(8x-17)(5x+19)
Find the converse and x
[tex](8x-17)(5x+19)\\40x^{2}+152x-85x-323\\ 40x^{2}+67x-323[/tex]
Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.
Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.
Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .
Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.
The answer is C hope it helps
Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arithmetic) or exponential (geometric) relationship that is being described. Finally, write the function that represents the situation.
One square inch is infected by bacteria. For every hour that passes the amount of area infected by the bacteria doubles.
Answer:
it will be a continuous model
Step-by-step explanation:
weekend weekend assume every amount of area infected by the bed period doubles as hour passes
Please help ASAP!!!!!!!!!!!!!
Answer:
im horrible at this kinda stuff-but is it 18......? ive always been bad-so if im wrong-dont get mad-
Step-by-step explanation:
happy new year!
Which equation represents the relationship between the x-and y-values shown in the table?
Write the slope intercept form of the equation of the line through the given points
A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes. (Round your answer to two decimal places.
Answer:
76.09 pounds
Step-by-step explanation:
From the information given:
[tex]R_{in} = (\dfrac{1}{2} \ lb/gal ) *(6 \ gal/min)[/tex]
[tex]R_{in} =3 \ lb/min[/tex]
At a slower of 4 gal/min, the solution gets pumped out;
So,
[tex]R_{out} = \dfrac{4A}{100+(6-4)t }[/tex]
[tex]R_{out} = \dfrac{2A}{50+t }[/tex]
The differential of the equation is:
[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A=3 ---(1)[/tex]
For the linear differential equation, the integrating factor is determined as:
[tex]\int_e \dfrac{2}{50 +t}dt = e^{2 In|50+t|[/tex]
[tex]= (50+t)^2[/tex]
Multiplying [tex](50+t)^2[/tex] with the above integration factor;
[tex](50+t)^2 \dfrac{dA}{dt} + 2 (50+t) A = 3(50 +t)^2[/tex]
[tex]\dfrac{d}{dt}[ (50 +t)^2 A] = 3(50+t)^2[/tex]
[tex](50+t)^2 A = (50 +t)^3 + c[/tex]
[tex]A = (50 +t) + c (50 +t )^{-2}[/tex]
By using the given condition:
A(0) = 40
40 = 50 + c (50)⁻²
10 = c(50)⁻²
OR
c = -10 × 2500
c = -25000
A = (50 + t) - 25000(50 + t)⁻²
The number of pounds of salt in the tank after 30 min is:
A(30) = (50+30) - 25000(50 + 30)⁻²
[tex]A(30) = 80 - \dfrac{25000}{6400}[/tex]
[tex]A(30) = 76.09 \ pounds[/tex]
Thus, the number of pounds of salt in the tank after 30 min is 76.09 pounds.
