Answer:
x=5/3, y= 4 2/3
Step-by-step explanation:
y=4x−2
y=x+3
x+3=4x-2
3=3x-2
5=3x
x=5/3
y=4(5/3)−2
y=6 2/3-2
y= 4 2/3
which of the following is the best way of selecting a random sample
Answer:
I believe its c because a b and d are far off
Step-by-step explanation:
Find the sum: 4√3+11√12
15√15
15√3
26√3
48√3
Answer:
26√3
Step-by-step explanation:
4√3+11√12
We know that sqrt(ab) = sqrt(a) sqrt(b)
4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]
4√3+11*[tex]2 \sqrt{3}[/tex]
4√3+22 [tex]\sqrt{3}[/tex]
Combine like terms
26√3
Answer:
[tex]26\sqrt{3}[/tex]
Step-by-step explanation:
Simplify them:
[tex]11\sqrt{12} = 22\sqrt{3}[/tex]
[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]
−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis
Answer:
[tex](-5,-8).[/tex]
Step-by-step explanation:
Given the equation
[tex]-3x+7y=5x+2y[/tex]
We need to find the missing value of the coordinate; (-5, __)
First, we collect like terms
[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]
When x=-5
[tex]-8*-5=-5y\\\\40=-5y[/tex]
Dividing both sides by -5
[tex]y=-8[/tex]
The missing value of the coordinate (-5,y) is -8.
Thus, the complete solution to the equation is [tex](-5,-8).[/tex]
A normal distribution curve, where x=70 and o=15, was created by a teacher using her students' grades. What information about their preformances can be obtained by analyzing the curve?
Answer:
- The mean, median and modal students' grades are all grade 70.
- The degree of spread of the grades about the mean grade is in grade value of the standard deviation, 15.
- Half of the class score grade 70 and beyond and half of the class also score grade 70 and below.
- 68% of the class score between grade 55 and 85.
- 95% of the class score between grade 40 and 100.
Step-by-step explanation:
If the normal distribution curve of the students' grades has a xbar = 70, and a σ = 15, it translates that the mean, median and the modal student grade is 70 because a normal distribution is that symmetric about the center of the distribution and the spread of the grades away from grade 70 is in grade scores of 15, the standard deviation.
It also directly mean that half of the distribution exist at grade 70 and above and the other half exists at grade 70 and below.
The empirical rule also explains further that 68% of the distribution exists between one standard deviation of the mean, that is;
68% of the distribution exists between (70±15) = (55, 85)
95% of the distribution exists between two standard deviations of the mean.
[70±(2×15)] = (40, 100)
Hope this Helps!!!
Answer:
Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85.
Step-by-step explanation:
What did you include in your response? Check all that apply.
The mean and median of the scores is 70.
Most of the scores are between 55 and 85.
Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.
In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.
9514 1404 393
Answer:
∠I = 59.0°
Step-by-step explanation:
The applicable trig relation is ...
Tan = Opposite/Adjacent
tan(I) = JK/KI = 90/54
I = arctan(90/54) ≈ 59.04°
The measure of angle I is about 59.0°.
Please help will award brainliest to whoever helps and give you 30 points
Part of the roof of a factory is devoted to mechanical support and part to green space. The area G that is designated as green space can be modeled by the polynomial 2x^2 - 7x and the area M that is devoted to mechanical support can be modeled by the polynomial x^2 - 9x + 24. Given that the area R of the roof is 36 square yards, write and solve a quadratic equation to find the total area of the green space. **Use the positive value for your solution.
(Hint: R = G + M)
i think i is 56 do you have answer choices?
Which box plot represents the data above?
W.
X.
Y.
Z.
Answer:
where's the data
Step-by-step explanation:
Which quadrilateral is not always a parallelogram?
A) rectangle
B) rhombus
C) square
D) trapezoid
Answer:
D
Step-by-step explanation:
Trapezoid
Answer:
D is the answer..
Trapezoid
A circular swimming pool has a diameter of 23 feet. What is the distance around the swimming pool?
Answer:
72.22 ft
Step-by-step explanation:
The circumference is calculated by pi x d
Answer:
About 72.3 feet
To be exact: The distance around the pool is 23π feet
Step-by-step explanation:
The question asks for the distance around the pool.
What does that mean?
It sounds similar to circumference of the circle shaped pool.
So, use the formula: C = (pi)*d
C = (pi) * 23 feet
C = 3.1415926 * 23 = 72.256 feet (approximately)
one person has corona virus then ten more people catch it how many people have corona virus
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1 - Person already infected
10 - People who got the virus
1 + 10 = 11
Subtract (3x^3+4x^2)-(2x^3+3x^2-x)
Answer:
X^3 + x^2 + x
Step-by-step explanation:
First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.
8+16÷4·3+5·4·25·2 =
solve the equation
Answer:
1020
Step-by-step explanation:
8+16÷4·3+5·4·25·2
PEMDAS
Multiply and divide from left to right
8+4·3+5·4·25·2
8+12+5·4·25·2
8+12+1000
Then add
1020
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]
For x = 78, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
36x^2 + 84xy + 49y^2 = ?
A. (6x + 7y)(6x - 7y)
B. (12x + 7y)(3x - 7y)
C. (6x + 7y)^2
D. (6x - 7y)^2
Answer:
The answer is C
Step-by-step explanation:
what is (4x+1)(4x+1)
Answer:
(4x+1)^2
Step-by-step explanation:
Anything times itself is itself squared
Answer:
8x+2
Step-by-step explanation:
(4x+1) (4x+1)
= 8x + 2
The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed. What is the independent variable in this relationship?
Answer:
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Step-by-step explanation:
From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Reduce the following mixed number 2 2/8
Answer:
2 1/4
Step-by-step explanation:
2 2/8
The top and bottom of the fraction can be divided by 2
2 1/4
need help will give brainliest and 5 stars
Answer:
(-2, -2)
Step-by-step explanation:
You have to find the lowest point of the graph. That would be 2 to the left of the origin and 2 down. Note that the scale on the graph differs for the x- and y-axis.
area of isosceles triangle
Answer:
You find the base and height then divide by 2
Step-by-step explanation:
Answer:
height x 2 divided by 1/2
Step-by-step explanation:
What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet.
Answer:
252 ft²
Step-by-step explanation:
A triangular prism has three rectangles and two triangles, to find the surface area, first find the surface area of thee rectangles and then the surface area of the triangles. After that add all the surface area.
For rectangle 1, surface area = 20 × 3 = 60 ft²
For rectangle 2, surface area = 20 × 4 = 80 ft²
For rectangle 3, surface area = 20 × 5 = 100 ft²
The triangle has height, base and hypotenuse. 5 ft is the hypotenuse and the height and base are 3 ft and 4 ft.
5² = 3² + 4²
For the triangle, the surface area = 1/2 × base × height = 1/2 × 3 × 4 = 6 ft²
Total surface are = 60 + 80 + 100 + 2(6) = 252 ft²
PLZ HELP!! :)
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
Answer:
30%
Step-by-step explanation:
Seems as if that lamb was thiccccca than what you thought
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?
Answer:
£40
Step-by-step explanation:
£30 represents 3 parts of the ratio that Fiona got.
Divide £30 by 3 to find the value of one part of the ratio
£30 ÷ 3 = £10 ← value of 1 part of the ratio
They won £30 + £10 = £40
Hey can anyone pls help me in dis real quick!!!!!
Answer:
1) you use any parallel lines or rectangles we can double the triangle to get the area and then divide by 2 as we know the length is 92.5yards and we know the width is 53.5 yards.
We would x these by each other and then divide by 2.
We have the width 53 1/2 yards wide and convert this to decimal if we want.
= 53.5 yards.
We then can count the yards for the length = 90 hash marks = 90 yards+ 2.5
= 92.5yards.
We square then add to find the hypotenuse diagonal line but it is an estimate as the lines inscribed subtends into the corner and it becomes a little larger as bottom line is used. Diagonal is found after by doing a reverse equation on the area.
53.5 x 92.5 then divide by 2 = 4948.75/2 = 2474.375
then 2474.375/ 26.75 = 92.5
This proves the line is isosceles and also find the height of the triangle.
But only as an estimate as the actual line distends
Last answer is B and W are equal measures this is because we do not see a right angle and if we bisected the triangle from the goal line to the left side we would prove the midpoint goal line is actually equal and makes lines of play isosceles where two sides are the same at point B and W.
So the answer is 1 yard as B runs the length of the goal back to a position of diagonal run.
The diagonal length is 92.5 yards
Step-by-step explanation:
The perpendicular bisector of chord AB is y=-2x+8, and the perpendicular bisector of chord BC is y= 3x-2. Recall the properties of chords. How can these equations be used to find the center of the circle that represents the whole plate
Answer:
We equate the two expressions since they both pass through the center of the circle.
The coordinate of the center of the circle is (2,4)
Step-by-step explanation:
From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.
Since both equations would pass through the center of the circle, we equate them.
So, -2x+8 = 3x-2
Solving for x, we have
3x + 2x = 8 + 2
5x = 10
x = 10/5
x = 2
Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.
y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4
So, the coordinate of the center of the circle is (2,4)
Personal Answer:
The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.
Plato Sample Answer:
Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.
I hope this helps!
Which arc measures 180°
А.
8
AE
BD
d or DC
Hope this helps!! :)
cards in a pack are black or red in the ratio black : red=2 : 5
What fraction of the cards are red?
Answer:
5/7
Step-by-step explanation:
There are 5 red cards and 7 cards in total. Add the number of black card , 2, to the number of red cards, 5, to get the total number of cards. Then, put the number of red cards as the numerator an the total number of cards as the denominator.
Feel free to correct me if I'm wrong
Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.
Answer:
whar state ment
Step-by-step explanation:
Frank measured 56 cm. The actual length was 61 cm. Which expression shows his percent error?
Answer: 8.54701% difference
Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%
If nominal GDP is 2400 and the money supply is 400, what is the velocity?
Answer:
The velocity of money is 6.
Step-by-step explanation:
Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.
Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.
i.e V = [tex]\frac{P * Y}{M}[/tex]
where: V is the velocity of money, P x Y is the nominal GDP i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.
Given that, nominal GDP = 2400 and money supply = 400, then;
V = [tex]\frac{2400}{400}[/tex]
= 6
Therefore the velocity of money is 6.
A plumber laying five hundred meters of drain pipe requires twenty men working for ten days. What length in meters would be laid by fifty men in five days?
Answer: 625 meters
Step-by-step explanation: Five hundred meters of pipe would require twenty men working for ten days.
First, we have to find the rate of work for one man. This is calculated thus:
(500m) ÷ (20men × 10 days) = 500 ÷ 200 = (5/2) = 2.5 meters per day
From the rate of work of one man, we can then calculate the length in meters that fifty men can lay in five days. This is calculated thus:
50 men × (5/2) × 5 days = 50 × 2.5 × 5 = 625 meters.
Therefore, fifty men working together would lay six hundred and twenty five (625) meters of pipe in five days.
