How many wholes are in 19/3?
Answer:
6 wholes
Step-by-step explanation:
\( \frac{19}{3} = 6 \frac{1}{3} \)
So there are 6 wholes in 19/3.
You are deciding whether to buy a car for 19,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $260 for 36 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Does the total cost of pursuing the car at the end of the lease agree to exceed the cost of purchasing the car at the outset? A. Yes, total cost of the car at the end of lose is $…. B. No, the total cost of the car at the end of the lease is $….
Answer:A.yes, the total cost of the of the car at the end of the lease is $19160
Step-by-step explanation:
first it would be easiest to figure out the monthly payments
260 x 36=9360
then add the lease fee
9360+800=10160
lastly add the cost of the purchase of the car
9000+10160=19160
lastly compare the prices
19160>19000
Leonard spent 1 fourth of his money on a sandwich. He spent 2 times as much on a gift for his brother as on some comic books. He had 3 over 8 of his money left. What fraction of his money did he spend on the comic books?
Answer:
1/8
Step-by-step explanation:
Leonard spent 1 fourth of his money on a sandwich.
Fraction of money spent on sandwich = 1/4
He spent 2 times as much on a gift for his brother as on some comic books.
= 1/4 × 2
= 2/8
Hence, Fraction of money spent on Comic books = 2/8
He had 3 over 8 of his money left.
Let us represent his total money has: 1
The fraction of his money that he spent on the comic books is calculated as:
= 1 -( 1/4 + 2/8+ 3/8)
Lowest Common Denominator = 8
= 1 - (2 +2 + 3/8)
= 1- 7/8
= 1/8
Therefore, the fraction of his money that he spent on the comic books is 1/8
Without graphing, find the slope of the line that goes through. MUST SHOW WORK
Answer:
-3/2
Step-by-step explanation:
Slope = y2 - y1 over x2 - x1
-5 - (-2) = -3
-1 - (-3) = 2
Answer: - 3/2
The heights of married men are approximately normally distributed with a mean of 70 inches and a standard deviation of 2 inches, while the heights of married women are approximately normally distributed with a mean of 65 inches and a standard deviation of 3 inches. Consider the two variables to be independent. Determine the probability that a randomly selected married woman is taller than a randomly selected married man.
The heights of married men are approximately normally distributed with a mean of 70 inches and a standard deviation of 2 inches, while the heights of married women are approximately normally distributed with a mean of 65 inches and a standard deviation of 3 inches. Consider the two variables to be independent. Determine the probability that a randomly selected married woman is taller than a randomly selected married man.
According to the problem statement, the two variables are independent. Therefore, we need to find the probability of P(Woman > Man). We have the following information given: Mean height of married men = 70 inches Standard deviation of married men = 2 inches Mean height of married women = 65 inches Standard deviation of married women
= 3 inches We need to calculate the probability of a randomly selected married woman being taller than a randomly selected married man. To do this, we need to calculate the difference in their means and the standard deviation of the difference. \(μW - μM = 65 - 70 = -5σ2W - σ2M = 9 + 4 = 13σW - M = √13σW - M = √13/(√2)σW - M = 3.01\)Now, we can standardize the normal distribution using the formula,
(X - μ)/σ, where X is the value we want to standardize, μ is the mean of the distribution, and σ is the standard deviation of the distribution. \(P(Woman > Man) = P(Z > (W - M)/σW-M) = P(Z > (0 - (-5))/3.01) = P(Z > 1.66)\) Using the normal distribution table, we can find the probability of Z > 1.66 to be 0.0485. Therefore, the probability of a randomly selected married woman being taller than a randomly selected married man is 0.0485.
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Which sum or difference is equivalent to the following expression?
2x+3/4
A. x/2 + 3/4
B. x/2 - 3/4
C. 3x/4 + 3/4
D. 8x +24
The expression that is equivalent to (2x + 3)/4 is: A. x/2 + 3/4.
How to Find Expressions that are Equivalent?Express the given expressions in their simplest form to determine the expression that is equivalent to (2x + 3)/4.
A. x/2 + 3/4
Find the common denominator. The common denominator is 4. Therefore:
= 2(x) + 1(3)/4
= (2x + 3)/4
x/2 + 3/4 ≠ (2x + 3)/4
Thus, the expression, x/2 + 3/4 is equivalent to (2x + 3)/4.
B. x/2 - 3/4 = (2x - 3)/4
Therefore, x/2 - 3/4 ≠ (2x + 3)/4
C. 3x/4 + 3/4 = (3x + 3)/4
Therefore, 3x/4 + 3/4 ≠ (2x + 3)/4
D. 8x + 24 ≠ (2x + 3)/4
Therefore, 8x + 24 ≠ (2x + 3)/4
In summary, we can conclude that, the expressions, x/2 - 3/4, 3x/4 + 3/4, and 8x +24x/2 + 3/4 is not equivalent to (2x + 3)/4. Thus, the expression that is equivalent to (2x + 3)/4 is: A. x/2 + 3/4.
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Drag the tiles to the correct boxes to complete the pairs.
Match the graphs with the functions they represent.
Answer:
Step-by-step explanation:
Equation of a parabola with vertex (h, k) is given by,
y - k = a(x - h)²
Equation of a function 'f' with vertex (0, 3) will be,
y - 3 = a(x - 0)²
y - 3 = ax²
Since, graph of this function passes through (1, 4),
4 - 3 = a(1)²
a = 1
Therefore, equation will be,
y - 3 = (x - 0)²
f(x) = x² + 3
Equation of function 'g' with vertex at (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph passes through (1, -1),
-1 = a(1)² - 3
a = 2
Therefore, equation will be,
y = 2x²- 3
g(x) = 2x² - 3
Equation of the function 'j' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax²- 3
Since, the graph of the function passes through (1, -5),
-5 = a(1)² - 3
a = -2
Therefore, function 'j' will be,
j(x) = -2x² - 3
Equation of the function 'h' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph of the function passes through (2, 1)
1 + 3 = a(2)²
4 = 4a
a = 1
Therefore, equation of the function 'h' will be,
h(x) = x² - 3
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4). Everything to the right of the line is shaded. Which linear inequality is represented by the graph?
Answer:
y<= 1/3x-4
Step-by-step explanation:
Its an inequality thats why
Thirty samples of size 4 of the customer waiting time at a call center for a health insurance company resulted in an overall mean of 10.4 minutes and average range of 0.9 minutes . Compute the control limits for x and r charts.
the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).
To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:
For the x-bar chart:
Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar
Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar
For the R chart:
Upper Control Limit (UCL) for R = D4 * R-bar
Lower Control Limit (LCL) for R = D3 * R-bar
Where:
x-double-bar = Overall mean of the sample means
R-bar = Overall mean of the sample ranges
A2 = Constant from the control chart constants table
D4 = Constant from the control chart constants table
D3 = Constant from the control chart constants table
For sample sizes of 4, the control chart constants are as follows:
A2 = 0.729
D4 = 2.281
D3 = 0
Given the information you provided:
Overall mean (x-double-bar) = 10.4 minutes
Average range (R-bar) = 0.9 minutes
Let's calculate the control limits:
For the x-bar chart:
UCL for x-bar = 10.4 + 0.729 * 0.9
= 10.4 + 0.6561
= 11.0561 minutes
LCL for x-bar = 10.4 - 0.729 * 0.9
= 10.4 - 0.6561
= 9.7439 minutes
For the R chart:
UCL for R = 2.281 * 0.9
= 2.0529 minutes
LCL for R = 0
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Justine found 6-feet of string with which to make 8 bracelets. If each bracelet was the same length, how long was each bracelet?
Answer:
9 inches
Step-by-step explanation:
There is 6 feet of string that is used to make 8 bracelets. If each bracelet has the same length, you would divide 6 by 8 to find the equal amount of string each bracelet gets. 6/8 can be simplified into 3/4 which also equals 9/12 and since each foot equals 12 inches, 9/12 would be 9 inches over 12 inches or a foot so 9/12 would equal 9 inches.
Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. A zoo has 17 monkeys and 12 chimpanzees. 12 to 17, 12:17, 17 60 12, 17:12, 1 C 17 to 22. 17:22 • D 1740 12. 12:12 17 to 12. 12:17 12
Answer: B
in three ways we have;
\(17\text{ to }12,\text{ }17\colon12,\text{ }\frac{17}{12}\)Explanation:
We want to write the ratio of the situation in three ways, comparing the first quantity to the second quantity.
Given that;
A zoo has 17 monkeys and 12 chimpanzees
so, we want to compare the number of Monkeys to the number of Chimpanzees.
There are 17 Monkeys to 12 Chimpanzees.
\(17\text{ to }12\)Writing in other ways, we have;
\(17\colon12\)and lastly in fraction;
\(\frac{17}{12}\)Therefore, in three ways we have;
\(17\text{ to }12,\text{ }17\colon12,\text{ }\frac{17}{12}\)
I really need help..im confused
Subtract 6
24
18
12
?
DONE
Answer
6
we keep subtracting by 6
12-6 = 6
A = 6
The price was
The price of a watch was increased
by 20%
to £196
what was the price before
the
Increase
Answer: $165
Step-by-step explanation: Divide the new price by 1, + the percent of increase. 198 / 1.20 = 165
MARK AS BRAINLIEST PLEASE! ;D
Pls Help Pls Pls PLs
The number of minutes that it will take to remove all at the same time is: 60 minutes
How to solve Algebra Word Problems?Given that:
- The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes.
Here we need to find out how many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time.
Based on the above information, the calculation is as follows:
Here we have to determine the L.C.M of each number:
12 = 2 * 2 * 3
15 = 3 * 5
20 = 2 * 2 * 5
Final LCM = 2 * 2 * 3 * 5 = 60
Therefore we can conclude that He will remove all trays at every 60 minutes interval.
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Solve the equation below.
3/2x - 2.2 = 2(0.7x - 1)
Answer:
x = 2
Step-by-step explanation:
3/2x - 2.2 = 2(0.7x - 1)
3/2x - 2.2 = 1.4x - 2
0.1x - 2.2 = -2
0.1x = 0.2
x = 2
What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)
(10, 18)
(2, 10)
(-1, 4)
(1, 5)
Answer:
The midpoint is ( 1,5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
( -4+6)/2 = 2/2 =1
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
( -4+14)/2 = 10/2 =5
The midpoint is ( 1,5)
oh and alsoo can someone plzzzzz add an explanation
Answer:
Brian sold 35 tickets
Step-by-step explanation:
42/6 = 7
7 x 5 = 35
35/42 = 5/6
Brian sold 35 tickets
(I know this isn't part of the question, but Brain didn't sell 7 tickets)
what's 50×40005698÷32÷5÷33×22+8900
Answer:
8343420.417
Explanation:
Using the BIDMAS Rule. It stands for Brackets, Indices , Division, Multiplication, Addition and Subtraction.
First we solve all the division parts:
40005698÷32÷5÷33
= 7576.837
Now multiplying:
7576.837 x 50 x 22
= 8334520.417
Lastly addition:
8334520.417 + 8900
= 8343420.417
Help me with this please
Answer: sorry i can't read the question
Step-by-step explanation:
in Chicago, the temperature was 3 degrees. By 5am, it had dropped 15 degrees. What was the temperature at 5am?
ASAP! Solve the system of inequalities by graphing.
{ y ≤ -4x - 1
{ y > 3x - 1
The solution to these system of inequalities is the point of intersection of the lines representing each inequality as depicted by graph C.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).First of all, we would plot a graph of the inequality y ≤ -4x - 1. Also, you should take note that the border line is solid because the inequality is (≤).
Also, the related equation is given by:
y = -4x - 1
At point (0, 0), we have:
0 ≤ 4(0) - 1
0 ≤ -1 (False).
Therefore, the lower half of the line would be shaded because the solution doesn't contain the point (0, 0).
For the second inequality, we have:
y > 3x - 1
0 > 3(0) - 1
0 > -1 (False).
In conclusion, the solution to these system of inequalities is the point of intersection of the lines on the graph representing each inequality as depicted in the image attached below.
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What is the measurement of this angle?
2.1 Convert the following common fractions to decimal fraction. 2.1.2.
\( \frac{9}{25} \)
The decimal fraction that represents the given fraction is: 0.36.
How to convert to decimal fractionsTo convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:
1. 25 divided by 9
This cannot go so, we put a zero and a decimal point as follows: 0.
Then we add 0 to 90
2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3
3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.
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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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b Identify the coefficient and the number of terms in the
following expression.
15x2 + 8
A.) Coefficient: x, number of terms: 1
B.) Coefficient: 2, number of terms: 2
C.) Coefficient: 8, number of terms: 1
D.) Coefficient: 15, number of terms: 2
Hello! :D can someone help me solve this system of equations in the picture
By identifying the intersection between the graphs, we conclude that the solution is (-3, 4).
How to solve the system of equations?To graphically solve a system of equations, we need to graph the equations of the system in the same coordinate axis, and then find the intersection points between the graphs.
Here we already have the equations graphed, so we only should find the points of intersection.
We can see two red lines, we can see that the lines intersect at the point (-3, 4). This means that the solution of the system of equations is the point (-3, 4).
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7-(c-3)-2C+3 (4-с) please help quickly
The answer to the expression given is 22 - 6c
Given the expression:
7-(c-3)-2C+3 (4-с)open the brackets
7 - c + 3 - 2c + 12 - 3c
collect like terms
7 + 3 + 12 - c - 2c - 3c
22 - 6c
Since the expression can't be simplified further, the answer would be 22 - 6c
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The length of PR is 18. Find the length of ST.
Round your answer to the nearest tenth.
The length of ST obtained using Pythagorean Theorem is about 13.2 units
What is the Pythagorean Theorem?Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is the sum of the square of the other two legs of the triangle.
The length of the segment \(\overline{PR}\) = 18
\(\overline{RS}\) = \(\overline{SP}\) = 16 (Radial length of the same circle)
Triangle ΔSRP is an isosceles triangle, therefore, ∠SRP ≅ ∠SPR
\(\overline{ST}\) ≅ \(\overline{ST}\) (Reflexive property of congruence)
Triangles ΔRST and ΔPST are congruent by the Hypotenuse Leg, HL rule of congruent triangles
Therefore; RT ≅ PT
RT + PT = 18
RT + RT = 18
2 × RT = 18
RT = 18/2 = 9
RT = 9
Therefore, ST, can be obtained using Pythagoras Theorem as follows;
ST = √(16² - 9²) = 5·√7 ≈ 13.2
The length of the side ST is about 13.2 units long
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If a right triangle has two legs a=7 and b=4, what is the length of the hypotenuse