Given that 2 of the angles are congruent, we can conclude that the others angles are congruent too, because the sum of inner angles of a triangle is equal to 180. So the additional information we need is
\(\angle B\cong\angle E\)And having that we could use AAA criteria. Also we could need AC = DF and use ASA criteria.
Factor the expression to find the zeros
Answer:
k = (1 , 4)
Step-by-step explanation:
here's your solution
==> k^2 - 5k + 4. [ is expression ]
==> by using middle term split
==> k^2 - 4k - k + 4
==> taking common from each
==> k(k - 4) - 1 (k - 4)
==> (k - 1) , (k - 4).
==> k - 1 = 0
==> k = 1
==> k - 4 = 0
==> k = 4
hence , k = (1 , 4)
hope it helps
x3 +y3 when x=3 and y=4
Simplify the following expressions
a. 2/5- 1/6 b. 3/7-7/14 c. 5/8- 2/3
The population of a city has been increasing 3.6% each year. The population in 2005 was 80,000.
The area of a rectangular ink pad is 28 square centimeters. It is 7 centimeters wide. How tall is it?
Answer:
4 cm
Step-by-step explanation:
The area is found by the length times width. You already know that the area is 28 and the width is 7. All you have to do is divided 28 by 7 to get 4.
Answer:
4 cm
Step-by-step explanation:
28=7*W
W=28/7
W=4 inches
72 divided by 3 = 3x(x+2)
Answer:
Just divide 72 ÷3
Step-by-step explanation:
72÷3=3x(x+2)
--------
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
y
20
18
46
14
12
10
8
6
4
2 G
2
D
LL
E
F
4 6 8 10 12 14 16 18 20
X
Complete the steps to find the area of the kite.
What is GE?
Square root of
What is DF?
✓units
Square root of
units
What is the area of the kite to the nearest unit?
square units
The lengths of the diagonals are:
GE = 8√5 units
DE = 4√5 Units
Area = 80 sq. units
How to find the distance between two coordinates?We have been given an image of a kite on coordinate plane.
To find the length of GE we will use distance formula:
Distance = √[x₂ - x₁)² + (y₂ - y₁)²]
Substituting coordinates of point G and E in above formula we will get,
GE = √[16 - 0)² + (8 - 0)²]
GE = √(256 + 64)
GE = √320
GE = 8√5 units
Similarly we will find the length of diagonal DF using distance formula.
DF = √[14 - 10)² + (2 - 10)²]
DE = √(16 + 64)
DE = √80
DE = 4√5 Units
Area of kite is given by the formula:
Area = (p * q)/2
where p and q are diagonals of kite.
Thus:
Area = ( 8√5 * 4√5)/2
Area = 80 sq. units
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when the bread doubles its size, how much does the distance between any two raisins will change?
The distance between two raisins will increase by a factor of the square root of 2.
As the bread dough rises and doubles in size, each linear dimension of the dough, including the distance between the raisins, will also double. This means that the distance between two raisins will increase by a factor of 2.
However, since the change in distance is related to a change in the linear dimension, and not the area, the increase in distance is proportional to the square root of 2, not 2. This means that the distance between the two raisins will increase by a factor of the square root of 2, or approximately 1.41.
This increase in distance between the raisins is a result of the increase in the volume of the dough, as the yeast ferments the sugars in the dough, producing carbon dioxide and causing the dough to rise. The increase in volume causes the dough to stretch, resulting in the increased distance between the raisins.
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Which is more affected by skewness, the IQR or standard deviation? a.IQR b. Neither one is affected. c. Standard Deviation d.Both are affected the same amount.
Standard deviation affects the skewness more.
For skewed data, which should you use: IQR or standard deviation?In data sets containing outliers or skewed distributions, the interquartile range is the most accurate indicator of variability. It's unlikely to be impacted by outliers because it's based on numbers that come from the center half of the distribution.
What are IQR and Standard Deviation?A measure of dispersion that demonstrates how closely a set of data's values resemble the mean is called standard deviation.
Outliers in a data set or a skewed data distribution might have an impact on the standard deviation.
Interquartile Range (IQR) is a spread indicator that depicts the variation between a data set's first and third quartiles.
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PLEASE HELPPPPPPPPPPPP!
Answer:
10
Step-by-step explanation:
\(2^{2} +10^{2} =c^{2}\)
4+100=\(c^{2}\)
c=\(\sqrt{104}\)
c=10.198
Round to nearest thousandth
c=10
Hope this helps :)
Comment if you need more help :) :)
Assume the hold time of callers to a cable company is normally distributed with a mean of 4.9 minutes and a standard deviation of .9 minute. determine the percent of callers who are on hold for at least 5.4 minutes
Approximately 28.81% of callers are on hold for at least 5.4 minutes.
The percentage of callers who are on hold for at least 5.4 minutes can be determined by calculating the z-score and finding the area under the normal curve to the right of that z-score.
First, we need to calculate the z-score for a caller who is on hold for 5.4 minutes:
z = (5.4 - 4.9) / 0.9 = 0.56
Next, we can use a standard normal distribution table or calculator to find the area under the curve to the right of the z-score. The area to the right of 0.56 is 0.2881.
Therefore, approximately 28.81% of callers are on hold for at least 5.4 minutes.
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The sum of five times a number and 26 is 19
Answer:
The answer for the unknown would be:
-12
Step-by-step explanation:
This is because ,
5n+26=19
5n+26=19
31n-31n=19-31n
therefore, (unknown) n= -12
The number will be -1.4 such that the sum of 5 times and 26 is 19.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say that number is x
Then,
5 times = 5x
So,
5x + 26 = 19
5x = -7
x = -7/5 = -1.4
Hence "The number will be -1.4 such that the sum of 5 times and 26 is 19".
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How do you graph a quadratic form?
The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.
the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.
Steps to plot graph of quadratic function.
a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.
\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).
This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).
So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
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y=¼ x + 2.5
y=⅕ x + 3
solve using substitution or elimination
Answer:
x=1/10
Y=5
Step-by-step explanation:
1/4x+2.5 =1/5x+ 3
x=1/10
Y=1/4×1/10+2.5
Y=5
×=1/10
Y=5
Answer:
Step-by-step explanation:
Qd=95−4P
Qs=5+P
a. What is Qd if P=5 ? b. What is P if Qs=20 ? β=9 c. If Qd=Qs, solve for P.
P = 90 is the solution for the given equation.
Given: Qd=95−4
PQs=5+P
To find Qd if P=5:
Put P = 5 in the equation
Qd=95−4P
Qd = 95 - 4 x 5
Qd = 75
So, Qd = 75.
To find P if Qs = 20:
Put Qs = 20 in the equation
Qs = 5 + PP
= Qs - 5P
= 20 - 5P
= 15
So, P = 15.
To solve Qd=Qs, substitute Qd and Qs with their respective values.
Qd = Qs
95 - 4P = 5 + P
Subtract P from both sides.
95 - 4P - P = 5
Add 4P to both sides.
95 - P = 5
Subtract 95 from both sides.
- P = - 90
Divide both sides by - 1.
P = 90
Thus, P = 90 is the solution for the given equation.
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Which angles are coterminal with 3π2? Select each correct answer. Responses −7π2 negative fraction numerator 7 pi over denominator 2 end fraction π2 fraction numerator pi over denominator 2 end fraction 11π2 fraction numerator 11 pi over denominator 2 end fraction −π2
Coterminal angles are angles that are measured from the positive x-axis. The coterminal angle of 3π/2 is -π/2 .
What are coterminal angles?Coterminal angles are angles that are measured from the positive x-axis of the coordinate plane.
Given to us
Angle = 3π/2
As we have given the angle 3π/2 from the positive x-axis but it is from the anticlockwise direction. To find the same angle from the clockwise direction we will deduct this angle from 360°(2π) and add a negative sign to show that it is been calculated from the clockwise direction.
2π-3π/2
=4π-3π/2
=π/2
Thus, the measure of the angel from the x-axis in the clockwise direction can be denoted as -π/2.
Hence, the coterminal angle of 3π/2 is -π/2 .
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Answer:
11pi/2 and -pi/2
Step-by-step explanation:
I took the test
PLZ ANSWER NOW I NEED IT KNOW PLEASE
B answer
Step-by-step explanation:
b is the asnwwr because 6+5=11, 3+5=8, 0+5=5
Which of the following is RS? pls answer asap thank you
Answer:
not sure
Step-by-step explanation:
but I think it's c tell me if I'm correct please but I'm not sure if u have no time just click C)
Answer:
c
Step-by-step explanation:
Find the measures of the interior angles of the triangle.
The angles of the triangle will be A = 88°, B = 48° and C = 44°.
What is a triangle's definition?
A triangle is a two-dimensional closed form with three straight sides and three angles. It is made up of three non-collinear points joined together. The sum of a triangle's internal angles is always 180 degrees. Triangles are classed according to the lengths of their sides and the angles they form.
Now,
In a triangle, the sum of the all three angles = 180 °. Therefore, we can use this fact to set up an equation to solve for x:
A + B + C = 180°
Substituting the given angles, we get:
x + 48 + (x - 44) = 180
Simplifying the left side, we get:
2x + 4 = 180
Subtracting 4 from both sides, we get:
2x = 176
Dividing by 2, we get:
x = 88
Now that we know x, we can find the measures of angles A and C:
A = x = 88 °
C = x - 44 = 88 - 44 = 44°
Therefore, the angles of the triangle are:
A = 88 °
B = 48 °
C = 44 °
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Find the standard form of the equation of the circle with endpoints of a diameter at the points
(4,8) and (2,6).
The perimeter of the garden shown is 8x+5
units. Find the length of the missing side.
?
х
χ
5x + 2
Answer:
x +3
Step-by-step explanation:
known sides add up to 7x + 2
subtract that from the perimeter to get the length of the missing side:
(8x + 5) - (7x + 2) = x + 3
A construction crew will build a new railroad track which passes through the point (8,5) and is parallel to the one
modeled by the line. What equation models the path of the new track?
Answer:
y = \(-\frac{2}{9}x+\frac{61}{9}\)
Step-by-step explanation:
Let the equation of the new railroad track passing through the point \((x_1,y_1)\) and slope = m₁ is,
\(y-y_1=m_1(x-x_1)\)
Slope of the given line = \(\frac{y_2-y_1}{x_2-x_1}\)
Slope of the line passing through (-3, 1) and (6, -1) will be,
m₂ = \(\frac{1+1}{-3-6}\)
m₂ = \(-\frac{2}{9}\)
Since, railroad track and the given line are parallel,
m₁ = m₂ = \(-\frac{2}{9}\)
Therefore, equation of the railroad track passing through (8, 5) and slope = \(-\frac{2}{9}\) will be,
y - 5 = \(-\frac{2}{9}(x-8)\)
y = \(-\frac{2}{9}x+\frac{16}{9}+5\)
y = \(-\frac{2}{9}x+\frac{61}{9}\)
Answer:
BRAINLIEST PLEASEEEEEE
y-5=-2/9(x-8)
Step-by-step explanation:
I had the exact same question and just kept getting it wrong until it gave me the right one.
Pick one please and thank u
roger drives at a constant speed he travels 440 miles in 8 hors how many miles does roger travel in one hour
To find how many miles Roger travels in one hour, we need to divide the total distance he traveled by the time he took:
miles per hour = total miles ÷ total time
In this case, Roger traveled 440 miles in 8 hours, so:
miles per hour = 440 miles ÷ 8 hours
miles per hour = 55 miles per hour
Therefore, Roger travels 55 miles in one hour.
Answer:
To find how many miles Roger travels in one hour, we can divide the total distance he traveled by the total time he took to travel that distance.
We are given that Roger traveled 440 miles in 8 hours, so:
miles per hour = total distance / total time
miles per hour = 440 miles / 8 hours
miles per hour = 55 miles per hour
Therefore, Roger travels 55 miles in one hour.
Hope This Helps!
This is the hardest question you guys will ever see!
What is 2+2!
Also answer my other question form my acc while you are doin that:)
Answer:
4
Step-by-step explanation:
2 plus 2 = 4
Answer:
OMG 2+2?!?!?! lol 4 xD I'll answer your other too.
Step-by-step explanation:
Question 1 of 10
Using the graph as your guide, complete the following statement.
The discriminant of the function is
101
HA
-10
10
The discriminant of the function is positive
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the discriminant of the function be represented as D
Now , the value of D is
D = ( b² - 4ac )
And , when ( b² - 4ac ) is positive, we get two real solutions
When a quadratic function contacts the x-axis on two different occasions, the function should be positive in this case. When the quadratic function intersects the x-axis precisely on one occasion, the function should be equal to zero.
When the x-axis shouldn't cross the function graph, the function should be smaller than zero.
Hence , the discriminant of the function is positive
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The complete question is attached below :
Using the graph as your guide, complete the following statement.
The discriminant of the function is
suppose x is a normal random variable with exam image and exam image find p(3.6 < x < 53.5). a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above.
After using the test statistic z, P(3.6<X<53.5) = 0.967.
In the given question, suppose X is a normal random variable with mean 35 and sdev 10.
We have to find P(3.6<X<53.5).
Fro the given question,
Mean x = 35
sdev s = 10
Z = X - mu / sd
P(3.6<X<53.5) = P ( 3.6-35/10 < Z < 53.5-35/10 )
P(3.6<X<53.5) = P ( -31.4/10 < Z < 18.5/10 )
P(3.6<X<53.5) = P ( -3.14 < Z < 1.85 )
P(3.6<X<53.5) = P ( Z < 1.85) - P ( Z < -3.14)
left tail of both
P(3.6<X<53.5) = 0.9678 - 0.0008
P(3.6<X<53.5) = 0.967
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The right answer is:
Suppose X is a normal random variable with mean 35 and sdev 10. Find P(3.6<X<53.5)
Vince's birthday party is going to be at his favorite science museum next weekend. He has 8 friends who want to see the Dinosaur Discovery show and 4 friends who want to see the Wild Weather show. Typically, the Dinosaur Discovery show costs d dollars per ticket, and the Wild Weather show costs w dollars per ticket. But next weekend, all tickets are half price! Pick all the expressions that represent the total cost of his friends' tickets.
Answer:
See explanation
Step-by-step explanation:
Dinosaur Discovery show = 8 friends
Wild Weather show = 4 friends
Cost of Dinosaur Discovery show = $d
Cost of Wild Weather show = $w
At regular price:
Total cost of his friends' tickets = 8 * d + 4 * w
= 8d + 4w
At half price
Total cost of his friends' tickets =
8 * 1/2d + 4 * 1/2w
= 8/2d + 4/2w
= 4d + 2w
Total cost of his friends' tickets = 4d + 2w
to plan the budget for next year a college needs to estimate what impact the current economic downturn might have on student requests for financial aid. historically this college has provided aid to 35% of its students. officials look at a random sample of this year's applications to see what proportion indicate a need for financial aid. based on these data they create a 90% confidence interval of (32%, 40%). could this confidence interval be used to test the hypothesis h0: p
Yes; since 35% is in the confidence interval they fail to reject the null hypothesis, concluding that there is not strong evidence of any change in financial aid requests. The correct answer is 5.
To test the hypothesis, we need to calculate the test statistic z and compare it with the critical value at the 0.10 level of significance. The test statistic is calculated as:
z = (p-bar - p) / √(p(1-p)/n)
where p-bar is the sample proportion, p is the hypothesized proportion, and n is the sample size.
In this case, p = 0.35, n is not given, but we can use the midpoint of the confidence interval as an estimate of p-bar. So, p-bar= (0.32 + 0.40) / 2 = 0.36.
Substituting these values, we get:
z = (0.36 - 0.35) / √(0.35(1-0.35)/n) = 0.15√(n)
Using a z-table or calculator, we find that the critical value for a one-tailed test at the 0.10 level of significance is 1.28.
Since the calculated z-value (0.15√(n)) is less than the critical value of 1.28, we fail to reject the null hypothesis. We can conclude that there is not strong evidence to suggest that the proportion of students requiring financial aid has changed from the historical value of 35%.
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Complete Question:
To plan the budget for next year, a college needs to estimate what impact the current economic downturn might have on student requests for financial aid. Historically this college has provided aid to 35% of its students. Officials look at a random sample of this year's applications to see what proportion indicate a need for financial aid. Based on these data they create a 90% confidence interval of (32%, 40%). Could this confidence interval be used to test the hypothesis H0: p = 0.35 versus Ha: p 0.35 at the a 0.10 level of significance?
1. Yes; since 35% is in the confidence interval they accept the null hypothesis, concluding that the percentage of students requiring financial aid will stay the same.
2. No, because financial aid anmounts may not be normally distributed.
3. No, because they only used a sample of the applicants instead of all of them.
4. Yes; since 35% is not at the center of the confidence interval they reject the null hypothesis concluding that the percentage of students requiring aid will change.
5. Yes; since 35% is in the confidence interval they fail to reject the null hypothesis, concluding that there is not strong evidence of any change in financial aid requests.