Step-by-step explanation:
A.Rational because by using the discrmant formula, Since our coefficients are integers, and if we get a perfect square, inside a radicand , we will have a rational numbers.
For example:
[tex] \sqrt{ {7}^{2} - 4(4)(3) } = \sqrt{49 - 48} = \sqrt{1} = 1[/tex]
Since root 1, is a perfect square, we will have rational roots.
B.
[tex] {b}^{2} - 4ac < 0[/tex]
[tex]49 - 16c < 0[/tex]
[tex] - 16c < - 49[/tex]
[tex]c > \frac{49}{16} [/tex]
If c is greater than 49/16, we will have no x intercepts.
recent report suggests the proportion of general us population who believe in extraterrestrial life is 0.47. choose the appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life in greater than the general population?
The null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population
The appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life is greater than the general population can be expressed as follows:
Null hypothesis: The proportion of college students who believe in extraterrestrial life is equal to or less than the general population, or
H0: p <= 0.47
Alternative hypothesis: The proportion of college students who believe in extraterrestrial life is greater than the general population, or
Ha: p > 0.47
where p is the true proportion of college students who believe in extraterrestrial life.
In other words, the null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population (i.e., there is no difference between the two populations), while the alternative hypothesis assumes that the proportion of college students who believe in extraterrestrial life is higher than the general population.
For more such questions on probability
https://brainly.com/question/24756209
#SPJ4
PLEASE HELP! O is the centre of a sphere and has coordinates (2, -3,5). If AB is a diameter of the sphere
and A has coordinates (5, 1, 1), find the coordinates of B. Give your answer as an ordered
triple (x, y, z).
Answer:
(-2, -6, -6)
Step-by-step explanation:
The center of the sphere, O, and point A, are located on the same diameter of the sphere, AB. Thus, the line segment joining these two points is the radius of the sphere. Therefore, the length of the line segment, OA = OB = r, where r is the radius of the sphere.
We can find the length of the line segment, OA, using the distance formula:
√((5 - 2)^2 + (1 + 3)^2 + (1 - 5)^2) = √(3^2 + 4^2 + (-4)^2) = √49 = 7
Since OA = OB = 7, the coordinates of B can be found by subtracting the radius, 7, from the x, y, and z-coordinates of point A:
B = (5 - 7, 1 - 7, 1 - 7) = (-2, -6, -6)Therefore, the coordinates of B are (-2, -6, -6).
a. Starting with the number 10, build a sequence of 5 numbers.
Answer:
Step-by-step explanation:
10, 20, 30, 40, 50
amy invested $223 in the banck and a year later has $280,98 . by what percent has changed
Cool Down: Bacteria Population
The graph shows the bacteria population on a petri dish as a function of the days d since an
antibiotic is introduced.
number of bacteria
1,000,000
Interpreting Exponential Functions
500,000
(0, 1000000)
(1, 900000)
2
(2, 810000)
4
time in days
6
8
00
10
The approximate value of f(4.5) is 550000.
What is the exponential function?Exponents are used in exponential functions, as the name suggests. But take note that an exponential function does not have a constant as its base and a variable as its exponent (A function is a power function rather than an exponential function if its base is a variable and its exponent is a constant).
From the given graph, the coordinate points are (0, 1000000), (1, 900000) and (2, 810000)
We know that, f(x)=mx+c
Here, (0, 1000000) and (1, 900000)
Now, m=(900000-1000000)/(1-0)
m=-100000/(1-0)
m=-100000
Substitute b=-100000 and (x, y)=(0, 1000000) in y=mx+c
1000000=-100000(0)+c
c=1000000
Substitute m=-100000 and c=1000000 in y=mx+c, we get
y=-100000x+1000000
The approximate value of f(4.5)
Now, y=-100000(4.5)+1000000
y=550000
Therefore, the approximate value of f(4.5) is 550000.
Learn more about the exponential function here:
brainly.com/question/11487261.
#SPJ9
Match the functions with their periods. y = - 3 tan 3 x y = 6 sin 3 x y = - 4 cot x 4 y = 2 cos 2 x 3 y = - 2 3 sec x 5 3 π arrowRight 2 π 3 arrowRight π 3 arrowRight 10 π arrowRight
The functions are matched with their periods as follows:
y = - 3 tan 3 x has a period of π/3.y = 6 sin 3 x has a period of 2π/3.y = - 4 cot x 4 has a period of π.y = 2 cos 2 x 3 has a period of 3π.y = - 2 3 sec x 5 has a period of 2π/5.What is the rationale for the above responses?The period of a trigonometric function is the smallest positive value of "T" for which the function repeats itself.
Note that to determine the period of a function, we need to identify how the function changes over one cycle. The period can then be obtained by dividing the length of the cycle by the number of complete cycles in the full range of the function.
1) y = - 3 tan 3 x: The period of the tangent function is π/b, where b is the coefficient of x. So, the period of y = - 3 tan 3 x is π/3.
2) y = 6 sin 3 x: The period of the sine function is 2π/b, where b is the coefficient of x. So, the period of y = 6 sin 3 x is 2π/3.
3 )y = - 4 cot x 4: The period of the cotangent function is π/b, where b is the coefficient of x. So, the period of y = - 4 cot x 4 is π.
4) y = 2 cos 2 x 3: The period of the cosine function is 2π/b, where b is the coefficient of x. So, the period of y = 2 cos 2 x 3 is 3π.
5 )y = - 2 3 sec x 5: The period of the secant function is 2π/b, where b is the coefficient of x. So, the period of y = - 2 3 sec x 5 is 2π/5.
Learn more about Periods in Math:
https://brainly.com/question/9634608
#SPJ1
Fatina uses 7.8 pints of white paint and blue paint to paint her bedroom walls 3/5 of this amount is white paint and the rest is blue paint how many pints of blue paint did she use to paint her bedroom walls
Using the fractional value of blue paint to white paint, the number of pints of blue paint Fatina used to paint her bedroom walls is 3.12 pints.
What is a fractional value?A fractional value is a proportional quantity of the whole value.
Fractional values are depicted in decimals, fractions, or percentages.
The total quantity of white and blue paints used on the bedroom walls = 7.8 pints
The fraction of the white paint = 3/5
The fraction of the blue paint = 2/5 (1- 3/5)
2/5 of 7.8 = 3.12 pints
Thus, proportionately, we can conclude that the blue paint Fatina used was 3.12 pints.
Learn more about fractional values and proportions at https://brainly.com/question/28384110.
#SPJ1
Kathy uses 3.12 pint of white paint to paint her bedroom walls
How many pints of blue paint did she use?Total amount of paint ( Blue and white paint)= 7.8 pints
Amount of blue paint=3/5 x 7.8 = 4.68Pints
amount of white paint = Total amount of paint - amount of blue paint
= 7.6 pints - 4.68 pints
=3.12 pint of white paint
In conclusion, she uses 3.12 pint of white paint to paint her bedroom walls
Learn more about quantity on https://brainly.com/question/12986460
#SPJ1
12. Solve the problem.
According to a college survey, 22% of all students work full time. Find the mean for the
number of students who work full time in samples of size 16.
00.2
03.5
04.0
02.8
The mean for the number of students who work full-time in
samples of size 16 are 3.5.
What is the expected value?We understand The expected value, also known as the expected average in the field of probability theory, is a generalization of the weighted average.
Given, 22% of all students work full-time, per a college poll.
Now, If we choose a sample of 16 students the mean number of students working full-time is,
= 16(22/100)
= 16×0.22
= 3.5.
learn more about expected value here :
https://brainly.com/question/29574962
#SPJ9
write a two column proof. fill in the missing reasons for the correct statements. given: ABCD is a rectangle. L, M, N, and P are the midpoints of AB, BC, CD, and DA respectively. prove: NM≈PL
The properties of midpoints and rectangles to show that a quadrilateral with vertices at the midpoints of the sides of a rectangle is a rhombus.
In this problem, we will prove that a quadrilateral with vertices at the midpoints of the sides of a rectangle is a rhombus. This is an important result in geometry and is often used in solving more complex problems.
Let us consider a rectangle ABCD with sides AB, BC, CD, and DA. Let P, Q, R, and S be the midpoints of the sides AB, BC, CD, and DA, respectively.
We need to prove that PQRS is a rhombus, which means we need to show that all sides of PQRS are equal.
First, we can observe that PQ and SR are parallel to AD, and QR and PS are parallel to AB. This is because P and S are midpoints of AB and AD, and Q and R are midpoints of BC and CD, respectively. Therefore, PQ and SR are both half the length of AD, and QR and PS are both half the length of AB.
Next, we can use the fact that the opposite sides of a rectangle are equal. This means that AD = BC and AB = CD. Therefore, PQ and SR have the same length, as they are both half of AD. Similarly, QR and PS have the same length, as they are both half of AB.
Thus, we have shown that all sides of PQRS are equal, which means that PQRS is a rhombus.
To know more about rectangle here.
https://brainly.com/question/8663941
#SPJ4
Complete Question:
ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.
Andrea is three times Nick's age. In 10 years, Andrea will be twelve years older than Nick.
What are their ages now?
Answer:
Nick is 6
Andrea is 18
Step-by-step explanation:
Sounds like a system of equations
Letting...
a = Andrea
n = Nick
Since she's 3 times the age, the first equation will be
a = 3n
Since in 10 years, Andrea will be 12 years older than Nick, we can write
a = n + 12
Since we have two a = ,we can set them equal to each other
3n = n + 12
Subtracting n
3n - n = 12
Now combining the n's (n is the same as 1n)
2n = 12
And last but not least, we can divide by 2
n = 6... so Nick is 6 right now.
Going back to our first equation of a = 3n, if we plug 6 in
a = 6(3) = 18.
Making Andrea 18 right now
Diego’s history teacher writes a test for the class with 30 problems. The test is worth 50 points and has two types of problems: multiple choice worth 1 point each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning. Diego’s history teacher writes a test for the class with 30 question. The test is worth 50 points and has two types of questions: multiple choice worth 1 points each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning
there are 10 short answer questions on the test, we get this answer after solving.
Let's assume that the number of multiple choice questions on the test is "m", and the number of short answer questions is "s".
From the given information, we can set up a system of equations:
m + s = 30 (The total number of questions on the test is 30)
1m + 3s = 50 (The total number of points on the test is 50)
To solve for "s", we can use the first equation to find "m" in terms of "s":
m = 30 - s
Then we can substitute this expression for "m" into the second equation:
1(30 - s) + 3s = 50
Simplifying and solving for "s", we get:
30 - s + 3s = 50
2s = 20
s = 10
Therefore, there are 10 short answer questions on the test.
To learn more expression click here
brainly.com/question/13428941
#SPJ4
Complete Question
Diego’s history teacher writes a test for the class with 30 question. The test is worth 50 points and has two types of questions: multiple choice worth 1 points each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning.
help please it's for today
2. In this institute, 150 students are in 1st year of ESO; 148, 2nd of ESO; 73, 3rd of ESO; 60, 4th of ESO; 150, high school and 204, training cycles. What percentage of students do cycles?
3. A merchant gives a clearance discount of 20% on all items. Indicate what the prices of the following items will be:
a) Skirt: €40
b) Jacket: €55
c) Pants: €35
d) Sweater: €28
4. I want to buy a 60 horsepower Seat Ibiza that costs €12,400. If I get a 15% dealer discount, how much will I pay for the car?
5. The price of a television has risen by 25% compared to last year. What is the current price if last year it was €510.80?
6. The Netflix connection is €17.25, we get a 20% discount. How much will the connection cost us?
7. A family buys a refrigerator that costs €840. Pay 30% in cash and the rest in 6 monthly installments. What is the amount of each term?
8. I paid €48 for a video game that cost €60. What percentage have I been discounted?
9. A car cost €12,000 at the beginning of the year. The Central Government gives a subsidy to buyers of €3000 for the old car, if it is more than 10 years old. How much will the car cost with the bonus and what % will we save?
10. What interest does a capital of €3000 produce at 4.5% per annum over 5 years?
11. What is the capital that a bank will return to us after 6 months to deposit €3700 at 7.5% per annum?
The percentage of students doing cycles is 37.98% ((204/535)*100).
What is a Percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it.
A % is a number without dimensions and without a measurement system.
The other answers are:
a) The skirt will cost €32 after the discount.b) The jacket will cost €44 after the discount.c) The pants will cost €28 after the discount.d) The sweater will cost €22.40 after the discount.After the dealer discount, the car will cost €10,540 (€12,400 * 0.85).
The current price of the television is €638.50 (€510.80 * 1.25).
The Netflix connection will cost €13.80 after the discount (€17.25 * 0.8).
The family will pay €252 in cash (30% of €840), and the amount of each monthly installment will be €126.
You have been discounted by 20% ((60-48)/60*100).
The car will cost €9,000 with the bonus (€12,000 - €3,000), and the family will save 25% of the original price (€3,000/€12,000*100).
The capital will produce €683.10 of interest (€3000 * 0.045 * 5).
The capital that the bank will return is €3,855 (€3700 + (€3700 * 0.075 * 6/12)).
Read more about percentages here:
https://brainly.com/question/24877689
#SPJ1
Oliver tries to cut a piece of metal 30 centimeters long the price of metal ends up being 29. 4 centimeters long what is the percent error
The percent error in the specified situation is 2%.
The actual length of the metal is 30 centimeters, and the measured length is 29.4 centimeters. The difference between the actual and measured lengths is:
30 - 29.4 = 0.6 centimeters
The absolute error is the magnitude of this difference:
|0.6| = 0.6 centimeters
To find the percent error, we divide the absolute error by the actual value and multiply by 100:
percent error = (absolute error / actual value) x 100%
= (0.6 / 30) x 100%
= 2%
Therefore, the percent error is 2%.
You can learn more about percent error at
https://brainly.com/question/1600371
#SPJ4
A stamp book contains a mixture of 27c second class stamps and 32c first class stamps. The
total value of stamps in the book is exactly $6.00.
How many 27c stamps are there in the book?
A 5
B 8
C 10
D 12
E 22
Answer:
8
Step-by-step explanation:
Let's call the number of 27c stamps in the book "x". The number of 32c stamps in the book would then be $6.00 / $0.32 = 18.75 stamps, but since stamps come in whole numbers, we'll round down to 18 stamps. So the total number of stamps in the book is x + 18.
The total value of the 27c stamps is $0.27 * x. The total value of the 32c stamps is $0.32 * 18 = $5.76. The total value of both stamp types is $6.00, so we have the following equation:
$0.27x + $5.76 = $6.00
Solving for x:
$0.27x = $0.24
x = $0.24 / $0.27 = 8.89 stamps, rounded down to the nearest whole number, which is 8 stamps.
So the answer is B) 8.
NEED THIS ASAP
Find m/EFG.
m/EFG
Answer: 41 degrees
Step-by-step explanation:
121-39=82
82/2=41
which of the following is a difference between panel and pooled cross-sectional data? group of answer choices a panel data set consists of data on different cross-sectional units over a given period of time while a pooled data set consists of data on the same cross-sectional units over a given period of time. a panel data set consists of data on the same cross-sectional units over a given period of time while a pooled data set consists of data on different cross-sectional units over a given period of time a panel data consists of data on a single variable measured at a given point in time while a pooled data set consists of data on the same cross-sectional units over a given period of time. a panel data set consists of data on a single variable measured at a given point in time while a pooled data set consists of data on more than one variable at a given point in time.
From the following, a panel data set consists of data on the same cross-sectional units over a given period of time while a pooled data set consists of data on different cross-sectional units over a given period of time is the difference between panel and pooled cross-sectional data.
Panel data refers to samples of the same cross-sectional units observed at multiple points in time.
For example we will follow the same set of households X, Y and Z, for each time period we collect data i.e. in 1990 and we will also interview the same households in 1995.
Pooled data occur when we have a “time series of cross sections,” but the observations in each cross section do not necessarily refer to the same unit.
For example we will take household income data on households X, Y and Z, in 1990. And then we will take the same income data on households G, F and A in 1995. Although we are interested in the same data, we are taking different samples (using different households) in different time periods.
To know more about panel data
https://brainly.com/question/30657393
#SPJ4
Simplify g³ x g³‼️‼️‼️
Answer:
[tex]g^6[/tex]
Step-by-step explanation:
When multiplying exponents, for example
[tex]x^2 * x^5[/tex]
Their power values are added together to get
[tex]x^2 * x^5 = x * x * x* x* x* x* x = x^7[/tex]
Answer:
[tex]g^6[/tex]
Step-by-step explanation:
because, [tex]g^3*g^3[/tex] is basically [tex]g^(^3^+^3^)[/tex] which is [tex]g^(^6^)[/tex] = [tex]g^6[/tex]
A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x , y), which ordered pair represents the center of the new circle after the transformation?
A(-x,y)
B(-x,-y)
C(x,y)
D(x,-y)
The required ordered pair represents the center of the new circle after the transformation is (-x,y). Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
Here,
If a circle is reflected across the y-axis, its center, which was originally located at (x, y), will move to a new location that is the same distance from the y-axis but on the opposite side. Since the y-coordinate does not change during a reflection across the y-axis, the y-coordinate of the new center will remain the same as the original, which is y.
However, the x-coordinate will be negated, since the reflection across the y-axis involves flipping points to the opposite side of the y-axis. Therefore, the center of the new circle will have the coordinates (-x, y).
So the answer is A) (-x, y).
Learn more about transformation here:
brainly.com/question/18065245
#SPJ9
15. Miss Jackson wrote this number sentence on the board.
7x = 36
Which procedure could be used to find a value for x that will make the number
sentence true?
A. Subtract 7 from 7x, and subtract 7 from 36.
B. Multiply 7x by 7, and multiply 36 by 7.
C. Divide 7x by 7, and divide 36 by 7.
D. Add 7 to 7x, and add 7 to 36.
The formula area of a trapezoid is A=1/2 h(b_1+b_2) solve for b_1
Please help ASAP
Answer: b1 = [tex]\frac{2A}{h} -b2[/tex]
Step-by-step explanation:
Algebra my friend...Algebra
So:
A = 0.5h(b1+b2)
A/(0.5h) =b1+b2
.: A/(0.5h) - b2 = b1
In other words:
b1 = [tex]\frac{A}{0.5h} -b2[/tex]
The 0.5 in the denominator can be rearranged to get the final answer:
b1 = [tex]\frac{2A}{h} -b2[/tex]
In 10 words or fewer, write your own definition of slope.
Answer: An incline, a slant up or down.
Step-by-step explanation:
Use synthetic division to find the result when 4x^4-7x^3+7x^2-12x+15 is divided by x-1. If there is a remainder, express the result in the form q(x)+r(x)/b(x)
When given expression (4x⁴-7x³+7x²-12x+15)/(x-1) is solved, result in the form q(x)+r(x)/b(x) will be -7x² + 4 + 19/(x-1).
What precisely are expressions?Expressions in mathematics are mathematical statements that are made up of at least two sentences that contain numbers, variables, or both, and are connected by an operator. Addition, subtraction, multiplication, and division are examples of mathematical operations. For example, x + y is an equation that separates the terms x and y by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.
e.g. A number is 6 times larger than another number, x. This statement may be expressed mathematically as x/2 + 6. Complex issues are solved using mathematical expressions.
Now,
Given expression to solve is (4x⁴-7x³+7x²-12x+15)/(x-1)
then dividing this
=4x⁴/x-1-7x³/x-1+7x²/x-1-12x/x-1+15/x-1
=4x³-3x²+4x-8+7/x-1 in form of q(x)+r(x)/b(x)
= 4x⁴/x-1-7x³/x-1+7x²/x-1-12x/x-1+15/x-1
= -7x² + 4 + 19/(x-1)
hence,
When given expression (4x⁴-7x³+7x²-12x+15)/(x-1) is solved, result in the form q(x)+r(x)/b(x) will be -7x² + 4 + 19/(x-1).
To know more about expressions visit the link
https://brainly.com/question/13947055?referrer=searchResults
#SPJ1
A baker initially makes 10 loaves of bread and sells 2 loaves each day.
What equation models the situation, where x is time in days and y is number of loaves?
Y=2x+10
Y=2x-10
Y=-2x+10
Y=-2x-10
Answer:
y = 2x + 10
Step-by-step explanation:
y = 2x + 10
y is the total number of loaves of bread.
x is the number of days.
If the baker baked for ten days, he would have 30 loaves of bread
y = 2x + 10
y = 2(10) + 10
y = 20 + 10
y = 30
If he baked for 50 days, he would have baked 110 loaves
y = 2x + 10
y = 2(50) + 10
y = 100 + 10
y = 110
And so on and so on...
What is the equation of a horizontal line passing through the point (−3, 8)
which of the following is the best interpretation of the power of a significance test? responses power is the probability of detecting an effect if no effect exists. power is the probability of detecting an effect if no effect exists. power is the probability of detecting an effect if an effect exists. power is the probability of detecting an effect if an effect exists. power is the probability of detecting an effect whether or not an effect exists. power is the probability of detecting an effect whether or not an effect exists. power is the probability of not detecting an effect if no effect exists. power is the probability of not detecting an effect if no effect exists. power is the probability of not detecting an effect if an effect exists.
The power in a significance test is the probability of detecting a true effect, while the probability of making a type II error is the complementary probability of power.
A significance test is a statistical method used to determine whether an observed difference or effect is statistically significant or simply due to chance.
Power is defined as the probability of detecting an effect in a significance test if an effect truly exists. In other words, it is the probability of correctly rejecting the null hypothesis (H0) when the alternative hypothesis (Ha) is true. The null hypothesis assumes that there is no significant difference between two groups, while the alternative hypothesis states that there is a significant difference.
Mathematically, power is calculated using the following formula:
Power = 1 - β
Where β is the probability of making a type II error, which is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. In other words, it is the probability of not detecting an effect when an effect truly exists.
Therefore, power and β are complementary probabilities. If power is high, β is low, and vice versa. A significance test with a low power has a higher chance of making a type II error, meaning that it can fail to detect a real effect. Conversely, a test with a high power has a lower chance of making a type II error, meaning that it can detect a real effect more accurately.
To know more about probability here
https://brainly.com/question/11234923
#SPJ4
there are two urns containing colored balls. the first urn contains 50 red balls and 50 blue balls. the second urn contains 30 red balls and 70 blue balls. one of the two urns is randomly chosen (both urns have equal probability of being chosen) and then a ball is drawn at random from one of the two urns. if a red ball is drawn, what is the probability that it came from the first urn?
If a red ball is drawn from two urns containing colored balls , then the probability that it came from the first urn is 0.625 or 62.5% .
Let A = the event that the first urn is chosen, and
B is = the event that a red ball is drawn.
We have to find P(A|B), which means , the probability that the first urn was chosen given that a red ball was drawn.
So , By Bayes' theorem:
we have , P(A|B) = P(B|A) × P(A) / P(B) ;
Since each urn has an equal probability of being chosen, we have P(A) = P(B) = 1/2 ; and
the probability of drawing a red ball is the same regardless of which urn was chosen.
We need to find P(B|A), the probability of drawing a red ball from the first urn is 50/100 = 0.5 ;
To find P(B), the overall probability of drawing a red ball, we can use the law of total probability:
that is ; P(B) = P(B|A) × P(A) + P(B|A') × P(A') ;
where A' = event that the second urn was chosen.
Now , we find P(B|A'), which is the probability of drawing a red ball from the second urn is = 30/100 = 0.3 ;
We know that P(A') = 1/2 = 0.5 , because there are only 2 urns.
So , we have : P(A|B) = P(B|A)×P(A) / P(B) ;
= (0.5×0.5) / (0.5×0.5 + 0.3×0.5)
= 5/8
= 0.625
Therefore, the probability that the red ball came from the first urn is 0.625 or 62.5% .
Learn more about Probability here
https://brainly.com/question/29251004
#SPJ4
The length of a rectangle is three times
its width. Which expression represents
the perimeter of the rectangle, if w
represents the width of the rectangle?
Heyy! Johnny Sins back with another answer for yall!
Lets see here....
The perimeter of a rectangle can be found by adding the lengths of all four sides. If the length of the rectangle is three times its width, we can write the expression for the length as 3w. Therefore, the expression for the perimeter would be:
P = 2(width) + 2(length)
P = 2w + 2(3w)
P = 2w + 6w
P = 8w
So the perimeter of the rectangle can be represented by the expression 8w.
___________________________________________________________
Pretty easy huh? Well no worries just give me 5 stars and a thanks. 2 buttons. So simple huh?
Love, Johnny Sins :)
106-5(22-2+5 so does anyone know the anwer+
Let’s see who gets this right..
If each base angle in an isosceles triangle is 10 degrees larger then the vertex angle, find the measure of the vertex angle.Write the equation how to use to solve for the vertex angle?
The measure of the vertex angle is 53.3degrees, the equation is 3x+20=180.
What is an isosceles right angled triangle?It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The triangles on either side of the diagonals are isosceles and congruent.
Given;
Each base angle in an isosceles triangle is 10 degrees larger then the vertex angle.
The addition of the internal angles of triangle is 180
So, let vertex angle be x
The other two sides will be x+10,
x+x+10+x+10=180
3x+20=180
x=160/3
x=53.3
Therefore, the vertex angle of the triangle will be 53.3degrees.
Learn more about isosceles right angled triangle here:
https://brainly.com/question/27190025
#SPJ1
