Answer:
The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
Step-by-step explanation:
We are given
Average of 3 quiz grades = 17
Grade of quiz 1 = 14
Grade of quiz 2 = 19
We need to find Grade of quiz 3
The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]
Using formula and finding the grade of quiz 3
[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]
So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2
Answer:
D. About 2700 in^2
Step-by-step explanation:
The area of a circle A = πd²/4 where d = diameter of circle.
A/d² = π/4 = k the proportionality constant.
So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.
So, we have
A₁/d₁² = A₂/d₂²
A₂ = A₁d₂²/d₁²
A₂ = A₁(d₂/d₁)²
substituting the values of the variables, we have
A₂ = 300 in²(60 in/20 in)²
A₂ = 300 in²(3)²
A₂ = 300 in²(9)
A₂ = 2700 in²
So, the area of circle B is about 2700 in²
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean, μ = 272 days and standard deviation, σ = 16 days. (a) What proportion of pregnancies lasts more than 300 days? (b) What proportion of pregnancies lasts between 260 and 284 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 252 days? (d) A "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies unusual?
Answer:
a) 0.04
b) 0.54674
c) 0.10565
d) It is not unusual to have preterm babies
Step-by-step explanation:
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean, μ = 272 days and standard deviation, σ = 16 days.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
(a) What proportion of pregnancies lasts more than 300 days?
z = 300 - 272/16
= 1.75
Probability/proportion value from Z-Table:
P(x<300) = 0.95994
P(x>300) = 1 - P(x<300) = 0.040059
Approximately = 0.04
(b) What proportion of pregnancies lasts between 260 and 284 days?
For x = 260 days
z = 260 - 272/16
= -0.75
Probability value from Z-Table:
P(x = 260) = 0.22663
For x = 284
z= 284 - 272/16
= 0.75
Probability value from Z-Table:
P(x = 284) = 0.77337
The proportion of pregnancies lasts between 260 and 284 days is
P(x= 284) - P(x = 260)
0.77337 - 0.22663
= 0.54674
(c) What is the probability that a randomly selected pregnancy lasts no more than 252 days?
No more than means less than or equal to, hence, we are to find
P ≤ 252 days
Hence,
z = 252 - 272/16
= -1.25
Probability value from Z-Table:
P(x ≤ 252) = 0.10565
(d) A "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies unusual?
We find the probability of 236 days
For x = 236
z = 236 - 272/16
z = -2.25
Probability value from Z-Table:
P(x<236) = 0.012224
Converting to percentage = 1.2224%
Hence, it is not unusual to have preterm babies
The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion.
Which statements are true?
Select each correct answer.
~ The car makes a complete revolution in 8 s.
~ The radius of the Ferris wheel is 26 m.
~ If the car is loaded at 0 s, then people are loaded at the lowest height of the Ferris wheel.
~ The maximum height of the Ferris wheel above ground is 40 m.
Answer:
bruh if your question is
"What is the maximum height of the Ferris wheel? "
its 80m
Step-by-step explanation:
ive looked for the question nd couldnt find it so i sarcificed my grade for yall, welcome
The values of the Ferris wheel.
The Ferris wheel is a ride that is fired by the upright rotating wheel and is able of carrying multiple passengers. The table shows us the value of the height of a car of the Ferris wheel and as it travels in a circular motion. The time and height of the second and meters are given.
Thus the answer is if the car is loaded at 0 s, then people are at the lowest part.
The wheel data shows that in 2 seconds the height of the wheel is about 26 meters and in 16 seconds the height of the wheel is about 6 meters. Thus the car is located at 0s and people are at the lowest height of the wheel.Hence the option C is correct.Learn more about the height of a car.
brainly.com/question/21434433.
Is 4 x 2/3 greater than 4?
Answer:
No
Step-by-step explanation:
4 is larger than 1, and 2/3 is less than 1, so if you multiply 4 by anything less than 1 you get a product that is less that the first factor.
Answer:
No
Step-by-step explanation:
What survival rate in the 10th year would make the average
rate of loss over the 10-year period equal to 38.0%?
Answer:
The answer is "63%"
Step-by-step explanation:
please find the complete question in the attached file.
Time= 10 year =38.0%
let,
x=rate
[tex]\to 38 = \frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10}[/tex]
[tex]\to 38 = \frac{(343 + x )}{10}\\\\\to 380 = (343 + x )\\\\\to 380 - 343 = x \\\\\to x= 37\%[/tex]
The rate of survival differs from the rate of loss, meaning the rate of survival were:
[tex]= 1 - loss\ rate \\\\= 1 - 37\% \\\\= 1 - \frac{37}{100} \\\\= \frac{100-37}{100} \\\\= \frac{63}{100} \\\\=63 \%[/tex]
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What’s it the slope of the line
Answer:
3/4
Step-by-step explanation:
the graph point starts at the y-intercept 1 and then moves 4 digits forward and 3 digit upward
Answer:
Since the slope doesn't go down we can safely ignore -3/4 and -4/3.
The slope goes up 3 and 4 to the right.
y = 3
x = 4
y/x
so the answer is 3/4
The area model shows 2 and one-third. What is 2 times 2 and one-third?
Answer:
14/3 or 4.6
Step-by-step explanation:
4. A bottle contains 68 teaspoons of solution. The solution drops out of the bottle
at a constant rate during a 102-minute experiment. The bottle is completely empty
just as the experiment ends. At what rate does the number of teaspoons of
solution in the bottle change?
Answer:
The rate of solution change is 2/3 teaspoons per minute
Step-by-step explanation:
Here, we want to calculate rate
From what we have in the question,
68 teaspoons of solution dropped out entirely within 102 minutes
So the rate is takes to drop out per minute will be:
68/102 = 2/3 teaspoon per minute
please help. its on ratio
Why is it important to have a plan for proof before writing the proof? Explain why it helps and what can happen without a plan for proof. *WILL GIVE 15 POINTS TO BEST ANSWER*
Answer:
The reason why it helps to have a plan of proof before writing the proof is that the proof plan is the collection of recollected knowledge about the question that will ensure that the required proof is achieved
The proof plan is equivalent to a virtual construction, consisting of the required parts and how the parts fit together, that obeys or satisfies the actual conditions when the written, step by step on paper
Without a proof plan, the required parts of the proof and therefore how the parts will fit to provide the proof will be absent as well as the non required parts written down to provide a proof without a plan can be confounding
Step-by-step explanation:
HELP!!!!!!!!!!!!!! I ONLY HAVE 5 MIN TO TURN THIS IN!!!!
Answer:
I think A but I might be wrong
Find the gradient of the line segment between the points (-4,-5) and (2,-4).
Give your answer in its simplest form.
Answer:
1/6
Step-by-step explanation:
gradient= change in y/ change in x
-4--5/2--4= 1/6
1/6 is the gradient
The gradient of the line segment in its simplest form is: 1/6.
What is the Gradient of a Line Segment?Gradient of a line segment = slope.Slope (m) = change in y / change in x.Given the following points, (-4,-5) and (2,-4) are on a line segment:
Gradient (m) = change in y / change in x
Gradient (m) = (-4 -(-5))/(2 -(-4))
Gradient (m) = 1/6
Therefore, the gradient of the line segment in its simplest form is: 1/6.
Learn more about gradient of a line segment on:
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What is the place value of the 3 in the number 40,328,960
ana buys a sweater for $25.60, and it is on sale for 35% off. what is the amount of the discount?
Answer:
16.64
Step-by-step explanation:
First times 25.60 by 35
Which is 896 then divide by 100
You should get 8.96
And then subtract it from 25.60
You get 16.64
therefore 25.60, 35% off is 16.64
11-11-29 Daily work ( Go math 4.3)
La Corona que herón mando elaborar tenía una masa de 1.5 kg y ocupaba un volumen de 300 cm ¿Era de oro dicha Corona? (Obten la respuesta utilizando el principio de arquímedes)
Answer:
Esta no es una corona de oro porque la densidad del oro es de 19,3 g / cm ^ 3
Step-by-step explanation:
La densidad de la corona se puede obtener del principio de Arquímedes.
Arquímedes descubrió que la fuerza de empuje hacia arriba sobre un sólido es igual al peso del fluido desplazado. entonces, cuando insertamos la corona en un cilindro de medición con un volumen específico, el volumen de agua desplazado es el volumen de la corona.
Dado que tenemos el volumen de la corona como 300 cm ^ 3 y su masa como 1,5 Kg.
La densidad de la corona = 1500 g / 300 cm ^ 3 = 5 g / cm ^ 3
Esta no es una corona de oro porque la densidad del oro es de 19,3 g / cm ^ 3
Conociendo la masa y el volumen de la corona de Herón, queremos saber si esta estaba hecha de oro o no.
Veremos que los datos proporcionados no coinciden con los que tendría el oro puro.
Sabemos que cada material conocido tiene una dada densidad a una dada temperatura. (Donde densidad es el cociente entre masa y volumen)
Particularmente, sabemos qe el oro tiene una densidad de 19.300 kg/m^3
En este caso, sabemos que la corona tiene una masa de 1.5kg y un volumen de 300cm^3
Notar que las unidades de volumen son diferentes, por lo que devemos cambiarlas:
1m = 100cm
entonces:
1cm = 0.01m
(1cm)^3 = 1cm^3 = (0.01m)^3
Entonces tendremos:
V = 300cm^3 = 0.000001*300 m^3 = 0.0003 m^3
Ahora podemos calcular la densidad como:
D = masa/volumen = 1.5kg/0.0003 m^3 = 5000 kg/m^3
Notar que esto es un tercio de la densidad del oro, asi que no, esto no es oro.
Sí quieres aprender más, puedes leer.
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There are 12 pencils and 24 map colors to be boxed. Each box must contain only one type of item, and every item must be boxed. What is the most that can be placed in a box so that each box has the same number of items?
Answer:
the answer is 2
Step-by-step explanation:
The way I no this is because I used division and got two for each box. 24 divided by 12 = 2 for every box
how you will know if the equation is polynomial
Answer:
for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Here are some examples: This is NOT a polynomial termbecause the variable has a negative exponent.
Step-by-step explanation:
A bakery uses a muffin recipe that uses 1/2 cup of milk for every batch of 12 muffins...... Select Each Correct Answer............
A.(1/24 cup of milk is used to make each muffin.)....B(.1/24 cup of milk is used to make each muffin) C.(1/6 cup of milk is used to make each muffin.) D.(1 cup of milk is used to make each muffin). E. (1 cup of milk is used to make every 12 muffins). F.( 1 cup of milk is used to make every 24 muffins)
(1/2)/12=1/24. So A is correct. There is no difference between A and B... F is also correct....we multiply 12 by 2 to get 1 cup per 24 muffins.
Sally spent a long time searching for the perfect tree. She could look in 6 stores in 45 minutes. If she shopped for 2 hours, how many stores did she visit?
Answer:
24
Step-by-step explanation:
Sally visited 16 stores when shopping for 2 hours.
Since Sally could look in 6 stores in 45 minutes. Hence:
Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.
Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes
Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores
Therefore Sally visited 16 stores in 2 hours.
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Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?
Answer:
Total cost= $768.66
Step-by-step explanation:
Giving the following information:
Production= 15 units
Standard quantity= 14 pounds per unit
Standard cost= $3.66 per pound
First, we need to calculate the total pounds required to make the hamburgers:
Total pounds= 14*15
Total pounds= 210 pounds
Now, the total cost:
Total cost= 210*3.66
Total cost= $768.66
Cam bought the items listed on the sign. If he was charged $42.25 for which item was he charged twice?
Answer: For which item was he charged twice? 42.25 – 29.50 = 12.75, so he was charged twice for the hat.
It may be incorrect! This is in my math book and it was this answer. Please forgive me if it’s incorrect!
Help me with my geometry work?
Answer:
D SSS
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
The sides with two lines running through it are equal in length (the lines mean that they are equal)
The sides with one line running through it are equal in length
The third common side is the side that connects the two triangles together.
Please help with this assignment
Answer:
3
Step-by-step explanation:
Answer:
24 yards long
Solve the equation. Determine the number of solution. -8(x - 3) = -8x-24
No solution
O One solution
0 Infinitely many solutions
The answer is no solution
Find the value of each variable
Answer:
Step-by-step explanation:
[tex]\sqrt{c^2 + c^2 }[/tex] = 9√2
c√2 = 9√2 ⇒ c = 9
b = 2c ⇒ b = 18
d = [tex]\sqrt{18^2 - 9^2 }[/tex] = [tex]\sqrt{(18 - 9)(18+9)}[/tex] = √243 = 9√3
a = c = 9
b = 18
d = 9√3
Help!
Find the distance between A and B .
Answer:
2.6
Step-by-step explanation:
1.3-(-1.3)
1.3+1.3
2.6
which value is equivalent to 3^2+5x2-8
12,400 × [] = 124
What number should go in the box to make the equation true?
Answer:
100
Step-by-step explanation:
inverse operation: 12,400 divided by 124