The histogram below gives the distribution of test scores for a sample of
students in a school in Alaska. Approximately how many students received a
score between 70.5 and 80?
Answer:
The correct answer is B.
Approximately 200 students received a test score between 70.5 and 80.
Find the
vertex of this
quadratic.
([?], [ ]
2
1
X
-4 -3 -2 -1 0 1 2 3 4
-1
-2
-3
-4
Answer:
The vertex of the parabola is \(V(x,y) = (0, 3)\).
Step-by-step explanation:
In this case, the vertex of the parabola is the absolute maximum of the graph, that is, the point \(V(x,y) = (0, 3)\). Mathematically speaking, the vertex of the parabola is represents the only point of the range (\(y\)) which is related to an only value of the domain (\(x\)).
.
Recording transactions
using the accounting equation
Let's work out some examples by recording these transactions using the accounting
equation
1.
2.
3.
4.
5.
6.
7.
8.
9.
Mr. Apino sets up a stall selling football shirts in Kejetia. He begins by
putting GhC 3,000 into the business bank account.
Apino obtains a loan of GhC 4,000 from brother to purchase a motor ven
Apino buys a market stall and pays GhC 500 by cheque
Apino buys football shirts for Ghc 1,800 on credit
Apino pays GhC 1,000 by cheque to suppliers for some of the shirts
purchased
Apino sells 50% of the shirts (cost= Ghc 900) for GhC 1,200 in cash
Apino sells shirts to another shop owner for Ghc 900 cash. These shirts cost
GhC 500
Apino withdraws cash of GhC 2,000 and shirts with value GhC 200 for
personal use
Apino sells shirts that cost GhC 300 for GhC250 cash due to their colour."
1. Assets: +GhC 3,000 ; Equity: +GhC 3,000 2. Assets: +GhC 4,000 ; Liabilities: +GhC 4,000 3. Assets: -GhC 500 ; Assets: +GhC 500 4. Assets: +GhC 1,800; Liabilities: +GhC 1,800 5. Assets: -GhC 1,000 ; Liabilities: -GhC 1,000 6. Assets: +GhC 1,200; Equity: +GhC 300; Assets: -GhC 450 7. Assets: +GhC 900; Equity: +GhC 400; Assets: -GhC 250 8. Assets: -GhC 2,200; Equity: -GhC 2,200, 9. Assets: +GhC 250 ; Equity: -GhC 50; Assets: -GhC 300.
Describe Accounting?Accounting is the process of recording, classifying, analyzing, and summarizing financial transactions of a business or organization. The goal of accounting is to provide accurate and timely information about the financial position, performance, and cash flows of a business to various stakeholders, including investors, creditors, management, and government agencies.
1. Mr. Apino sets up a stall selling football shirts in Kejetia. He begins by putting GhC 3,000 into the business bank account.
Assets: +GhC 3,000 (Cash)
Equity: +GhC 3,000 (Capital)
2. Apino obtains a loan of GhC 4,000 from brother to purchase a motor ven
Assets: +GhC 4,000 (Cash)
Liabilities: +GhC 4,000 (Loan Payable)
3. Apino buys a market stall and pays GhC 500 by cheque
Assets: -GhC 500 (Cash)
Assets: +GhC 500 (Market Stall)
4. Apino buys football shirts for Ghc 1,800 on credit
Assets: +GhC 1,800 (Inventory)
Liabilities: +GhC 1,800 (Accounts Payable)
5. Apino pays GhC 1,000 by cheque to suppliers for some of the shirts purchased
Assets: -GhC 1,000 (Cash)
Liabilities: -GhC 1,000 (Accounts Payable)
6. Apino sells 50% of the shirts (cost= Ghc 900) for GhC 1,200 in cash
Assets: +GhC 1,200 (Cash)
Equity: +GhC 300 (Revenue)
Assets: -GhC 450 (Cost of Goods Sold)
7. Apino sells shirts to another shop owner for Ghc 900 cash. These shirts cost GhC 500
Assets: +GhC 900 (Cash)
Equity: +GhC 400 (Profit)
Assets: -GhC 250 (Cost of Goods Sold)
8.Apino withdraws cash of GhC 2,000 and shirts with value GhC 200 for personal use
Assets: -GhC 2,200 (Cash, Inventory)
Equity: -GhC 2,200 (Withdrawals)
9. Apino sells shirts that cost GhC 300 for GhC250 cash due to their colour.
Assets: +GhC 250 (Cash)
Equity: -GhC 50 (Loss)
Assets: -GhC 300 (Cost of Goods Sold)
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Ariane borrows $200 on a 6−year loan. She is charged 5% simple interest per year. How much interest is she charged for 6 years? What is the total amount she has to pay back?
After 6 years, Ariane is charged $
in interest. She pays a total amount of $
.
Answer:
she is charged 80 in interest for 4 years, the total she has to pay back is 480
Step-by-step explanation:
An aquarium holds 11.35 cubic feet of water, and is 2.6 feet long and 1.1 feet wide. What is its depth? Round your answer to the nearest whole number.
The depth is
feet.
The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).
To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,
which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).
Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.
Substituting these values into the formula for volume,
we get:11.35 = 2.6 × 1.1 × h
Simplifying this expression:
11.35 = 2.86h
Dividing both sides by 2.6 × 1.1,
we get:h ≈ 3.64 feet (rounded to two decimal places)
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are 4 and 16/5 proportional?
Answer:
No
Step-by-step explanation:
Because when you divide 16/5 it's 3 1/5
3 1/5< 4
On a 7 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong?Give your answer as a fraction
Solution
- This is a Binomial probability question. The formula for Binomial probability is:
\(\begin{gathered} P(r)=\sum\text{ }^nC_rp^rq^{n-r} \\ where, \\ n=The\text{ total number of trials} \\ r=\text{ The number of successful trials\lparen where answer is correct\rparen} \\ p=\text{ The probability of success \lparen The probability of getting a question } \\ right) \end{gathered}\)- We have been given:
\(\begin{gathered} n=7 \\ \text{ since there can only be two answers, it means that the} \\ \text{ probability of getting a question correct is:} \\ p=\frac{1}{2} \\ q=1-p=\frac{1}{2} \\ \\ \text{ The probability of getting at least 1 question wrong means the } \\ probability\text{ of getting 1, 2, 3, 4, 5, 6, or 7 question wrong.} \\ \\ \text{ Instead of calculating all these probabilities, we can simply say} \\ P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)=1-P(0) \end{gathered}\)- Thus, we have:
\(\begin{gathered} P(0)=^7C_0(\frac{1}{2})^0(\frac{1}{2})^7 \\ P(0)=\frac{1}{128} \\ \\ 1-P(0)=1-\frac{1}{128}=\frac{127}{128} \end{gathered}\)Final Answer
The answer is
\(\frac{127}{128}\)Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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What is the estimate of 25,686
Answer:
depends, you can see the explanation.
Step-by-step explanation:
if you are rounding to the tens place it would be 25,690.
hundreds place - 25,700
thousands place - 26,000
An account pays 7% per year simple interest. In year 1, the amount in the
account is
$950. How much is in the account in year 6?
The amount in year 6 is $1282.5.
What is simple interest?
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
rate of interest = 7%
time = 1 year
Amount on first year = $950
First we will calculate simple interest for 5 years, because amount is available for 1 year.
SI =PRT
SI = 950(7/100)1
SI = $332.5
Therefore, the amount after 6 years = 950+332.5
=$1282.5
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Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Share 30 000 bags of 20kg rice in the ratio 2:3:4:6 among Villages A, B, C and D in that order. (2 marks) How many bags of 20 kg rice will Villages B and C get?
Answer:
2+3+4+6 = 15 parts
Village B gets 3 of 15 parts
3/15 * 30000 = 6000 bags
Village C gets 4 of 15 parts
4/15 * 6000 = 8000 bags
Answer:
each "share" needs "15" (2+3+4+6) "portions/bags"
2000 distributions
A-4000 bags/80000 kg
B-6000 bags/120000 kg
C-8000 bags/1680000 kg
D-12000 bags/240000 kg
Step-by-step explanation:
Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
Answer:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
Step-by-step explanation:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
What is the y component of a vector defined as 12.2m at -31.9°?
-6.45m
10.4m
6.45m
-10.4m
The y component of a vector defined as 12.2 m at -31.9° will be the negative 6.45 m. Then the correct option is A.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
Then the y component of a vector defined as 12.2 m at -31.9° will be
y = 12.2 x sin (-31.9°)
y = 12.2 x (-0.528)
y = -6.4469 ≈ -6.45 m
Then the correct option is A.
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Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 20 minutes in 5 hours. How long did they rest in 8 hours?
Answer:
32
Step-by-step explanation:
you have to find how many min in a hour so 20 divided by 5 is 4 then 4x8 is 32
Simplify the following without a calculator ( a) √3 × √3 (b)( 2√7)² (c) 3√6 × 4√6
A right triangle has one interior angle that measures 38% Which of these is the measure of a different interior angle of the triangle?
The measure of a different interior angle of the triangle is 52 degrees.
What is the measure of the missing interior angle ?A right angled triangle is a triangle with one of the angles as 90 degrees.
The sum of the interior angle of a triangle is 180 degrees.
Given the data in the question;
Measure of angle a = 38 degreeMeasure of angle b = ?Measure of angle c = 90 degreeSince the sum of the interior angle of a triangle is 180 degrees.
Angle a + Angle b + Angle c = 180
38 + Angle b + 90 = 180
Angle b + 128 = 180
Angle b = 180 - 128
Angle b = 52 degrees.
Therefore, the measure of the second angle is 52 degrees.
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WILL MARK BRAINLIEST!
I thought of a three-digit number. If I add all the possible two-digit numbers made by using only the digits of this number, then one third of this sum is equal to the number I thought of. What is the number I thought of?
Answer:
198
Step-by-step explanation:
If you add 11,18, 19, 81, 88, 89, 91, 98, 99 then the sum would be 594 then dividing by 3 would be 198.
PLZ MARK BRAINLIEST!!!
y = 3/4x - 14, y = 4/3x + 12 Parallel Perpendicular Neither
We are given two line equations, we are asked to tell if they are parallel, perpendicular, or neither.
Two lines are parallel if they have the same slope. The slope of the line is the number that multiplies the variable "x" in the line equations, therefore, the slopes for each lines are:
\(m_1=\frac{3}{4}\)\(m_{2\text{ }}=\frac{4}{3}\)since the slopes are different, the lines are not parallel.
Two lines are perpendicular if the following relation between slopes is given
\(m_1=-\frac{1}{m_2}\)Apllying the previous formula for the slopes of the given lines
\(m_1=-\frac{1}{\frac{4}{3}}=-\frac{3}{4}\ne m_2\)
That means the lines are not perpendicular, therefore the answer is "neither"
Charles decided that his old car could not make a 1200 mile trip; it might break down. Rather than take a chance on a big repair bill, and breaking down on the road, he decided to rent a car. The rental is $99 for a special three day weekend rate, with unlimited miles. If the rental car gets 30 miles per gallon and Charles has to pay $3.85 per gallon for gas, what is the total cost of gasoline and rental for the trip
Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total cost is composed by:
The rental fee of $99.The gasoline cost, of $3.85 per gallon, considering that 1200/30 = 40 gallons were used.Hence, the total cost is given by:
C = $3.85 x 40 + $99 = $253.
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Answer:
C = $3.85 x 40 + $99 = $253.
Step-by-step explanation:
I took the test
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:64
Step-by-step explanation:
its simple just divde 36
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval -2<= x <= 0?
The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.
Answer:
×e[-2,0}Why;-2<x<0
Write the compound inequality in interval rotationso the answer is;×e[-2,0}brainliest me thanks for later
Answer:
D) The exponential function decays at three-fourths the rate of the quadratic function.
Step-by-step explanation:
Kayden owns a small business selling ice-cream. He knows that in the last week 16 customers paid cash, 33 customers used a debit card, and 6 customers used a credit card.
If next week, he is expecting 400 customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.
Answer:
In linear equation, The number of customers who will pay by debit card will be 44.
Which equation is linear?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
16 + 33 + 6 = 55 customers.
That means that the fraction of the customers, who paid by debit card, was
6/55
In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.
we simply say that we expect the same fraction, 1/30 if customers use credit cards.
for the absolute number of predicted debit card customers we multiply the predicted number of customers by the expected fraction
400 × 6/55 = 2400 /55 = 43.63 ≈ 44
Therefore the number of customers who will pay by debit card will be 44.
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For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?
The value of common ration r is 4.
Given that,
a₁ = 9
a₅ = 2304
We know that,
A geometric sequence is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.
The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.
Since we know that nth term of GP is,
\(a_{n}\) = a₁ \(r^{n-1}\)
Therefore,
a₅ = a₁ \(r^{4}\) = 2304
⇒ 9 x \(r^{4}\) = 2304
⇒ \(r^{4}\) = 256
⇒ r = 4
Hence, r = 4
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In a different tug of war, one team pulls with a force of 50 newtons at an angle of 30 degrees from the positive x-axis, and a second team pulls with a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total force and angle applied to the central ring. How did they get the following answer?34.8 N at 2.5 degrees from the positive x-axis
Answer:
34.8 N at 2.5 degrees from the positive x-axis
Step-by-step explanation:
From the given information:
The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.
\(F_x = F cos A\\\\ F_y = Fsin A\)
Given that
\(F_1 = 50 \ N\)
\(\theta_1 = 30 ^0 \ \ \ (x-axis)\)
\(F_{1x} = F_1 \times Cos A_1\)
= 50 × cos 30
= 43.3 N
\(F_{1y} = F_1 \times Sin \ A_1\)
= 50 × sin 30
= 25 N
Similarly;
\(F_2 = 25 \ N\)
\(\theta_2 = 250 ^0 \ \ \ ( x-axis)\)
\(F_{2x} = F_2 \times cos \ A_2\)
= 25 × cos 250
= - 8.55 N
\(F_{2y} = F_2 \times A_2\)
= 25 × sin 250
= -23.5 N
The total net force;
\(F_{net} = F_{(net)}_x + F_{(net)}_y\)
\(F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j\)
\(F_{net} = (43.3 - 8.55) i + (25-23.5 ) j\)
\(F_{net} =34.75 i + 1.5 j\)
\(|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}\)
\(|F_{net} | = \sqrt{34.75^2 + 1.5^2}\)
\(|F_{net} | = 34.8 \ N\)
Finally, the direction of the angle for the net force is:
\(tan \theta = \dfrac{F_{net_y}}{F_{net_x}}\)
\(\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)\)
\(\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)\)
\(\theta = tan^{-1}( 0.043165)\)
\(\theta \simeq 2.5^0\ with \ positive \ x-axis\)
Convert
431 base 10 divided by 112base 10
Answer:
543 i think?
Step-by-step explanation:
PLEASE THIS IS THE LAST QUESTION I HAVE
Answer:
=468 m^2
Step-by-step explanation:
Surface area of a prism is
SA = 2 (lw + wh + hl) where l is length, w is width and h is height
SA = 2 ( 12*6 + 6*9 + 9*12)
= 2 ( 72+54+108)
= 2(234)
=468 m^2
what is the equivalent fraction of 13%
Is this a proportion? 1.44/8 = 1.7/10
Answer:
No
Step-by-step explanation:
Because the equation needs to have a variable
Milan is on the swim team. Each day he swims 850m. How far does he swim in 5 days?
Answer:
4250 m
Step-by-step explanation:
1 day = 850
5 days = 850×5
= 4250