Answer:
4 : 7
Step-by-step explanation:
First, you can start by moving all the terms to one side:
14x^2 + 6xy - 8y^2 = 0
Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:
2(7x^2 + 3xy - 4y^2) = 0
In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:
2(7x^2 + 7xy - 4xy - 4y^2) = 0
Now, we can start to factor by grouping:
2( 7x[x + y] - 4y[x + y] ) = 0
And we can factor out [x + y]:
2(x + y)(7x - 4y) = 0
So, we can use the zero product property to get two equations:
x + y = 0
and
7x - 4y = 0
You get:
x = -y
and
7x = 4y
We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7
find the axis of symmetry of the parabola
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4
Answer:
B
Step-by-step explanation:
Use the distributive property to find the equivalent expression. 9(2 + 3x) =
Answer:
9(2+3x)
9*2+9*3x
18+27x
Step-by-step explanation:
Which of the following equations is a solution for 5745?
A. 45 = 5
B. x2 = 45
C.x = 45
D.NXS = 45
Answer:
c
Step-by-step explanation:
Which equation represents the data in this function table?
A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3
Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
The answer is not b
Step-by-step explanation:
Which figure shows a reflection of pre-image QRS over the line t?
I need help PLSSSSS 50 points!!!
line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?
Answer: Section formula
Step-by-step explanation:
Given
The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2
To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.
We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically
In AJKL, 1 = 620 inches, k = 910 inches and ZK=53°. Find all possible values of ZL,
to the nearest degree.
Answer:
33 degrees is your answer
Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?
Answer:
D
Step-by-step explanation:
Plz help me well mark brainliest if correct!.,....
Answer:
6cm
Step-by-step explanation:
I did 24 divided by 4 since a square has 4 sides
Find the value of x or y so that the line through the points has the given slope.
Answer:
x= -6
Step-by-step explanation:
(-1+5)/(x+3) = -4/3
4/(x+3)= -4/3
-4(x+3)= 3(4)
-4x-12= 12
-4x= 24
x= -6
A. 20
b. 5
c. 40
d. 45
Answer:
C, 40
Step-by-step explanation:
You can set up the equation as 20+4x=180
180 is the total angle of the line
4x=160 and divide each side by 4
x=40
Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)
Answer:
8
Step-by-step explanation:
4x2=8
Find the value of x UREGENT HELP PLEASE
Answer:
15.3
Step-by-step explanation:
Cos 32 = x/18
Cos 32 = 0.848048096
x/18 = 0.848048096
x = 15.3 (rounded)
Simplify -4(2x - 3) + 7 x – 1.
Answer:
-x+11
Step-by-step explanation:
can someone plz help
Determine whether each ordered pair is a solution of the inequality-3x-4y<6
Answer:
it's (6,0) I can't explain though
It is commonly said that 10 of people are left-handed, but Lilianna suspected that a higher proportion of art students at her university are left-handed. To test this theory, she took a sample of 150 art students and found that p^=14% of the sample was left-handed.
To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation. She took a sample of n=150 students from a population where 10% of the students were left-handed, and she recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples. Here are the sample proportions from her 50 samples:
She wants to test H0:p=10% vs. Ha:p>10% where p is the proportion of art students at her university who are left-handed.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p^=14%.
Answer: p-value ≈ 0.08
Step-by-step explanation:
The approximate p-value of the test is 0.0136 as per the data given in question.
What is p-value?The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true.
To find the approximate p-value of the test, we need to compare the sample proportion p^ to the hypothesized proportion p0 = 10% under the null hypothesis H0:p=10% vs. Ha:p>10%.
Since the sample size n is large (n = 150) and the null hypothesis assumes a normal distribution.
We can use the normal approximation to the binomial distribution. Under the null hypothesis, the test statistic z is given by:
z = (p^ - p0) / sqrt(p0 * (1 - p0) / n)
Plugging in the values, we get:
z = (0.14 - 0.1) / sqrt(0.1 * 0.9 / 150)
z = 2.22
The approximate p-value for this one-tailed test can be found by looking up the area to the right of z = 2.22 under the standard normal distribution.
Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.22 is approximately 0.0136.
Therefore, the approximate p-value of the test is 0.0136. This means that if the true proportion of left-handed art students at the university is 10%, there is approximately a 1.36% chance of getting a sample proportion of 14% or higher by random chance alone.
For more details regarding p-value, visit:
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What is z if x = 25, u = 22, o= 6, and
n = 9?
A. -2.5
B. -1.5
C. 1.5
D. 2.5
Answer:
what's the equation????
11. You earn $500 in 80 hours. At that rate. how much would you eam in 200 hours?
Answer:
Should be 1250$
Answer:
1250
Step-by-step explanation:
First we divide 500 divide by 80 that will give you 6.25
So then you multiply 6.25 by 80 to get sure then if you are sure, yo will multiply 6.25 by 200 that will give you, 1,250.
How many 1/3s are in 1 2/3?
Answer:
12
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3/3+2/3 = 5/3
Answer is 5
What is the measure of arc BC?
9514 1404 393
Answer:
100°
Step-by-step explanation:
Arc BC is twice the measure of inscribed angle BEC, so is ...
arc BC = 2×50°
arc BC = 100°
Answer:
Step-by-step explanation:
The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.
Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape
Answer:
circle
radius
infinite
Step-by-step explanation:
have a wonderful day <3
If z is the complex number then IzI = 5 represents the equation of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
The equation of the circle.
IzI = 5.
The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.
And the modulus represents the radius of the circle.
Therefore, the modulus represents the radius of the circle.
To learn more about the circle;
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Tina has 8 pounds of flour to bake cookies. She uses 1/2 of a cup of flour to make each batch. How many batches of cookies can she make?
Group of answer choices
16
8
1/16
9
Struggling with these last two. Thanks so much!!
Answer:
1. C
2. D
Step-by-step explanation:
1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.
2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1
The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.
so the equation is y=x+6, which is just the last option, let's say D, but just rearranged
How many fifths must be added to 3.4 to total 4?
Please Help Immediately
What is an example of a regular polygon?
Answer:A few examples of regular polygons are a triangle, quadrilateral, pentagon, hexagon, heptagon, and a decagon.