Answer: y= -4/5 and x= 29/5
Step-by-step explanation:
From eqn2 , x= 5-y. Thus substituting in eqn1 will give
6(5-y)-4y=38
30-6y-4y=38
30-10y=38
-10y=38-30
-10y= 8
y=8/-10---> y= -4/5
Substituting y in eqn2 we have
x+(-4/5)=5
x=5+4/5
x=29/5
Look at the table and find the probability that a randomly chosen student is a light girl.
Answer:
18/80 = 9/40
Step-by-step explanation:
this is solid figure has six equal faces 12 edges and 8 vertices
A.rectangular prism
B.cube
C.cone
D.cylinder
Answer:
cube because it has six equal facwes
PLSSS HELP ASAP WILL GIVE BRAINLIEST
Solve by completing the square: 5x² + 20x + 32 = 0
Answer:
5x2 + 20x + 32 = 0 - 16977324
Step-by-step explanation:
(06.01 LC)
What conditions must be met to use z procedures in a
significance test about a population proportion? (4 points)
1. The sample size is greater than 30.
II. The population is greater than 10 times the sample size.
III. The probability of success multiplied by the sample size is
greater than or equal to 10, and the probability of failure
multiplied by the sample size is greater than or equal to 10.
Answer:
1. The sample size is greater than 30.
Step-by-step explanation:
z test is a statistical test, used for hypothesis testing, for verifying statistical significance of a population parameter (from sample statistic)
It is used when in case when the sample size is large, ie greater than 30. It is used when the data follows normal distribution. In case of small sample size, ie less than 30, t test is used.
5. Below is the data from randomly sampling 100 students in two different cities
regarding their favorite type of music.
City Pop Rock Rap Country
More students like rock in Hill than in Clark.
Hill
15
47
21
17
Clark 13
5
20
62
About the same number of students like rap in both cities.
е E
Which of the following inference can NOT be made based on the data above?
If more students were polled, the results would not change.
Most students like rock in Hill, but most students like country in
Clark.
Answer:
C
Step-by-step explanation:
In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie
Answer:
20
Step-by-step explanation:
In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?
Let x = number correct answers
because school a , gives the same correct and wrong answers, their equation can be represented as :
165 - 5x + 12x =
165 + 7x
School b gives no wrong answer. their equation can be represented as
65 + 12x
to fing the number of correct answers given, equate the two equations
165 + 7x = 65 + 12x
collect like terms
165 - 65 = 12x - 7x
100 = 5x
x = 20
What is the area of the rectangle
Answer:
B) [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
b = [tex]2\frac{1}{2}[/tex]
h = [tex]1\frac{1}{2}[/tex]
Work:
A = bh
A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]
A = [tex]\frac{15}{4}[/tex]
3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))
4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2
Answer:
3. B 10a
4. D 3
Step-by-step explanation:
the value of function lim (g(x)*h(x)) will be 10 a.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, For g(x)=5 and h(x)=2x
[tex]\lim_{x \to \ a }(g(x)*h(x))[/tex]
=> lim (5 * 2x)
=> lim 10x
=> 10a
for G(x)= X-10 And H(x)= 2x,
g(x)/ h(x) = (x - 10)/2x
[tex]\lim_{x \to \ -2} g(x)/ h(x)[/tex]
=> (-2- 10)/-4
=> 3
therefore, the value of function lim (g(x)*h(x)) will be 10 a.
Learn more about function here:
https://brainly.com/question/21145944
#SPJ2
find the LCM 72 ,216, 270
Answer:
1080
Step-by-step explanation:
72 = 2 × 2 × 2 × 3 × 3
216 = 2 × 2 × 2 × 3 × 3 × 3
270 = 2 × 3 × 3 × 3 × 5
LCM(72, 216, 270)
= 2 × 2 × 2 × 3 × 3 × 3 × 5
= 1080
==========================================
Explanation:
Write out the prime factorization of each value. A factor tree may help.
72 = 2^3*3^2216 = 2^3*3^3270 = 2*3^2*5The unique primes that show up are: 2, 3, 5
For the prime factor 2, the highest exponent is 3. So 2^3 is a factor of the LCM.For the prime factor 3, the highest exponent is 3. So 3^3 is a factor of the LCM.For the prime factor 5, the highest exponent is 1. So 5^1 is a factor of the LCMThe LCM is 2^3*3^3*5^1 = 8*27*5 = 1080
Find the total surface area of the pyramid.
4 in.
6 in.
6 in.
Answer:96
Step-by-step explanation:
Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS
Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
how do you find the height of a triangle (to calculate area)?
Answer:
The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:
Height of the triangle = 10.392And the area of the triangle is:
Area of the triangle = 31.176 units^2Step-by-step explanation:
When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:
(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:
(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2Now, we can replace the values in the formula obtained:
(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2(adjacent leg)^2 = 12^2 - 6^2(adjacent leg)^2 = 144 - 36(adjacent leg)^2 = 108Now, as we just need the adjacent leg, we take the square root of both sides:
adjacent leg = [tex]\sqrt{108}[/tex]adjacent leg = 10.392 approximately.Now, with these data, we can find the area of the triangle with the next formula:
Area of a triangle = (base * height) / 2And we replace the measurements:Area of a triangle = (6 * 10.392) / 2Area of a triangle = 31.176As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.
Work out the area of triangle ABC
2 root 5 cm
3 root 2 cm
Answers anyone I’m at risk for summer school ;-;
Answer:
1 is B 2 is D 3 is A 4 is A 5 is C 6 is A
I’ll give brainliest if u answer with 30 mins
Answer:
30 mins
Step-by-step explanation:
100 ÷ 10 • 2 • 4 ÷ 2
40
0.625
20
10
Answer:
40
Step-by-step explanation:
100/10*2*4/2
10*2*4/2
20*4/2
20*2
40
If this helps please mark as brainliest
Answer:
40
Step-by-step explanation:
100/10=10
10*2=20
20*4=80
80/2=40
At noon three students, Abby, Ben, and Cassie, are standing so that Abby is m west of Ben and Cassie is m east of Ben. While Ben stays in his initial position, Abby begins walking south at a constant rate of m/min and Cassie begins walking north at a constant rate of m/min. In how many minutes will the distance between Cassie and Ben be twice the distance between Abby and Ben?
Answer:
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .
A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .
solution 2
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.
In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in
minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .
Andre bought pencils in packs of 8. He gave 2 pencils to his sister and 3 pencils from each pack to his friends. The expression 8p-3p-2 represents the number of pencils Andre has left from p packs. Simplify the expression by combining like terms.
what is the answer?
Answer:
27
Step-by-step explanation:
he was left with no pencils
What is the slope of the line?
Answer:
the slope is 7/4
Step-by-step explanation:
ABC has vertices at A(3.2), B(1.4), and C(2.7).
What will be the new vertices after a 90° counter clockwise rotation about the origin?
Answer:
A = 1,4
B = 2,1
C = -4,-5
Step-by-step explanation:
The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5
An automobile travels 471 miles in 8 hours.
What is the average speed of the automobile to the nearest mile per hour?
A. 45 mph
B. 50 mph
C. 55 mph
D. 60 mph
O E 65 mph
The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?
3 x -2 x 4 x -3=
process !!!
Answer:
3 x -2 x 4 x -3 = 72.
Based on the data plotted, choose all that are correct.
A good line of best fit for the data is y = 15x + 55.
The data on the scatter plot shows a negative relationship.
If a student studies for 6 hours, they will receive a grade of about 100.
In general, the longer time spent studying, the higher the student's grade.
Answer:
- If a student studies for 6 hours, they will receive a grade of about 100.
- In general, the longer time spent studying, the higher the student's grade.
Step-by-step explanation:
Given
See attachment for plot
Required
Select all correct options
First, we determine the equation of best fit.
Pick two corresponding points on the plot
[tex](x_1,y_1) = (2,70)[/tex]
[tex](x_2,y_2) = (4,85)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{85 - 70}{4-2}[/tex]
[tex]m = \frac{15}{2}[/tex]
[tex]m = 7.5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 7.5(x - 2) + 70[/tex]
[tex]y = 7.5x - 15 + 70[/tex]
[tex]y = 7.5x +55[/tex]
The above represents the line of best fit.
By comparison, (a) is incorrect
We calculate the slope to be:
[tex]m = 7.5[/tex]
Since the slope is positive, then the relationship is positive (b is incorrect)
Also, the positive slope implies that, as x increases, y also increase.
Hence, (d) is correct.
For (c), we substitute 6 for x in the calculated equation of best fit
[tex]y = 7.5x +55[/tex]
[tex]y = 7.5 * 6 + 55[/tex]
[tex]y = 45 + 55[/tex]
[tex]y = 100[/tex]
This shows that (c) is true because 6 hours of study gives a grade of 100
Preciso de ajudar nessa questão que segue em anexo.
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
Question 17 of 25
What is the probability of flipping a coin 10 times and getting tails 8 times?
Round your answer to the nearest tenth of a percent.
O A. 4.4%
B. 1.0%
OC 20.5%
D. 11.7%
Answer:
B
Step-by-step explanation:
10 ÷ 8
=0.8
≈1% probability
help me with this plss
Answer:
175 AKA B
Step-by-step explanation:
40/8=5 5*35=175
In a group of 24 people, 10 study
Physics, 15 study Chemistry and
18 study at least one subject.
Find the number of people who
do not study any of the subject.
click the photo there is the answer
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena’s sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements.
Who every can answer this I will give brainliest!! Please help!
Complete question is;
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements. Make your selections bold.
A. The median height of the sample must be between 59 and 63 inches.
B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.
C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.
D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.
E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.
Answer:
Options A, B & E are true.
Step-by-step explanation:
We are told that Elena's mean absolute deviation is 2 inches.
This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.
This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.
Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.
In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.
Thus range given is okay.
In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.
In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.
The first three terms of arithmetic progression are -5,-1 and 3.Find the six term.
Answer:
15
Step-by-step explanation:
The pertinent general formula for this arithmetic progression is
a(n) = a(1) + d(n - 1), where d is the common difference. That difference is d = 4.
Here, a(n) = -5 + 4(n -1)
Therefore, a(6) = -5 + 4(5) = 15
Answer:
It is 15.
Step-by-step explanation:
Alright, first lets find the pattern. Since its a arithmetic sequence, it has something to do with adding/subtracting.
With the values, -5, -1, and 3. Notice something about them? -1 is 4 more than -5 & 3 is 4 more than -1. There's a pattern! The pattern is that for every new term, it is 4 more than the one before it.
With this, we can make a table to find the 6th term!
(Given)
1st Term: -5
2nd Term: -1
3rd Term: 3
Now, continue adding 4 to each term...
4th Term: 7
5th Term: 11
6th Term: 15
For the 6th term, it has been found that the answer's 15.