Answer:
x = -2 y = -7
x = -1 y = -4
x = 0 y = -1
x = 1 y = 2
x = 0 y = 5
Also, I am sorry that it took so long for someone to answer.
Hope that this helps!
Suppose ACT Math score for a given year is normally distributed with mean 21 and standard deviation 3. According to the Empirical Rule, about 95% of the students that took the test got ACT Math scores in which interval
The Empirical Rule states that around 95% of the data in a normal distribution falls within two standard deviations of the mean. The mean ACT Math score in this case is 21, the standard deviation is 3, and the range is 15 to 27.
To determine the interval within which about 95% of the students' scores fall, we can use the Empirical Rule. Since two standard deviations encompass about 95% of the data, we multiply the standard deviation by 2 and add/subtract the result from the mean.
For the ACT Math scores:
Mean - 2 * Standard Deviation = 21 - (2 * 3) = 21 - 6 = 15
Mean + 2 * Standard Deviation = 21 + (2 * 3) = 21 + 6 = 27
Therefore, approximately 95% of the students' ACT Math scores would fall within the interval of 15 to 27.
This means that most of the students' scores are expected to be within this range, with fewer scores falling outside of it. It provides a general understanding of the distribution of scores and helps us identify the central range within which a large majority of the students' scores lie.
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The square of a negative integer has the same value as the sum of that integer plus 2. what is the integer?
Answer:
I don't know bc I can't figure it out sry
An equation is formed of two equal expressions. The negative integer stated in the statement is 1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the negative integer be represented by -a.
Given that the square of a negative integer has the same value as the sum of that integer plus 2. Therefore, the equation can be written as,
(-a)² = -a + 2
a² = -a + 2
a² + a -2 = 0
a² +2a - a -2 = 0
a(a+2) -1(a+2) = 0
(a-1)(a+2) = 0
a = 1, -2
Since a was a negative integer and we have already used the negative sign in the equation, therefore, the value of a is 1.
Hence, the negative integer stated in the statement is 1.
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I am so sorry if you keep seeing me ask for help
Answer:
67°-------------------
Given three interior angle measures of a triangle:
38°, 75° and xUse the triangle sum theorem to find the missing angle:
38 + 75 + x = 180x + 113 = 180x = 180 - 113x = 67So the missing angle is 67°.
how do i get the method on how to solve this x+5(-2)-1
Answer:
I forgot the name but I can show you how to do it lol
Step-by-step explanation:
x+5(-2)-1
x-10-1 we multiplied 5 and -2
x-11
x=11
how I did the last one is there is a non-existent 0 with an equal sign like my teacher says so we added 11 to both sides.
The data set {+3, -1, -2, +1} shows The moves a player made forward or backward in a board game graph the moves the player made explain the meaning of the role in the situation.
We have the data set:
\(\mleft\lbrace+3,-1,-2,+1\mright\rbrace\)This shows the moves a player made forward or backward in a board game. Then, graphically, this is:
In this situation, 0 means that the player stayed at his position.
if £555 are exchanged for€566.10 how much would be received for £60
Will give brainliest and ten points
t+7.45=13 3/4
Answer:
t = 6.3
Step-by-step explanation:
t = 13\(\frac{3}{4}\) - 7.45
t = \(\frac{55}{4}\)-7.45
t= 13.75 - 7.45
t = 6.3
Answer:
T would equal 6.3
Step-by-step explanation:
You can start out by converting 13 3/4 to a decimal, which would be 13.75.
Therefore leaving you with this equation:
t + 7.45 = 13.75
Next, you subtract.
t + 7.45 = 13.75
-7.45 -7.45
---------------------------
Therefore leaving you with your answer of 6.3 or 6 3/10. I hope this helps! :)
Explain, true or false- when the percent of change is a decrease, the original amount will be greater than the new amount.
The prime factorizations of 16 and 24 are shown below.
Prime factorization of 16: 2, 2, 2, 2
Prime factorization of 24: 2, 2, 2,3
Using the prime factorizations, what is the greatest common factor of 16 and 24?
O 2
O 2'2
© 2'2'2
O 2 2 2 2'3
The greatest common factor of 16 and 24 is 2×2×2
What is the greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given that, The prime factorizations of 16 and 24 are shown below.
Prime factorization of 16: 2, 2, 2, 2
Prime factorization of 24: 2, 2, 2, 3
Now, choosing the common factors = 2, 2, 2
Therefore, the GCF = 2, 2, 2
Hence, The GCF of 16 and 24 is 2, 2, 2
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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K = {(x, y) | x - y = 5}, and the domain of x = 0, 2, 4
Answer:
The range = {-5 , -3 , -1}
Step-by-step explanation:
Verified
(Solving Equations Using Square and Cube Roots LC)
Solve y3 = −27.
Answer:
y3=-27
-27:3=y
-9=y
but i guess with cube root
cube root of -27 which is -3 and -3×3=-9
im not sure but if im worng someone corret me please
Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos. Graphically solve a system of equations in order to determine the number of bananas, x,x, and the number of mangos, y,y, that Chee bought.
We get the number of bananas as 8 and the number of mangoes as 4.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos.
We can write the system of equations as -
x = 2y ..... (1)
(1/2)x + 2y = 12 ..... (2)
We can write equation (2) as -
(1/2) x 2y + 2y = 12
3y = 12
y = 4
then -
x = 8
Therefore, we get the number of bananas as 8 and the number of mangoes as 4.
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URGENT!
in how many ways can 7 books be arranged in a shelf if three particular books must stay together?
Answer:
5040 ways
Step-by-step explanation:
We need to place 3 particular books so that they are always together.
let 3 books are one books
we have 5 books
these can be arranged in ⁵P5 = 5! = 12O
total books = 3 × 2 = 6
Required no. of books are 120×6 = 720.
Ellason wants to solve the following system using the elimination method:
5x + 2y = 30
x + y = 8
What number should the equation x + y = 8 be multiplied by to eliminate y? (4 points)
(-3) + (+3) + (-8) + (+12)
Answer:
The answer to your question is 4
answer is positive 4. -3 plus 3 equals nothing -8 plus 12 is positive 4
PLEASE HELP!
WILL GIVE 20 PTS!!!
Answer:
Stay with the B point you can move the other A and C points and for the second question is B) the answer
Step-by-step explanation:
Life is just one have fun
circumference of circle whose radius is 7cm
Answer:
43.98 cm
Step-by-step explanation:
\(C=2\pi r\) where r is the radius
Plug the radius 7 cm into the equation as r
\(C=2\pi (7)\\C=14\pi \\C=43.98\)
Therefore, the circumference of the circle is approximately 43.98 cm.
I hope this helps!
Express 600g as a ratio of 1kg
please show working.
3:5
Step-by-step explanation:
change the kilogram into gram and then divide it
Answer:
3 : 5
Step-by-step explanation:
The quantities must have the same units
1 Kg = 1000 g , then
600 : 1000 ( divide both parts by 200 )
= 3 : 5 ← in simplest form
A patient describes having vivid dreams to the nurse. The nurse understands that these occur during which stage of sleep?
a. Rapid eye movement (REM) sleep
b. Stage 2 nonrapid eye movement sleep
c. Stage 3 nonrapid eye movement sleep
d. Stage 4 nonrapid eye movement sleep
Option a is the correct answer. The patient's description of vivid dreams is most likely occurring during rapid eye movement (REM) sleep.
During fast eye development (REM) rest, the mind is exceptionally dynamic, yet the muscles are loose, bringing about the trademark quick eye developments that give this stage its name. It is during REM rest that most dreaming happens. These fantasies will generally be clear, close to home, and frequently strange, and can be serious to such an extent that they might awaken the sleeper. Interestingly, during non-REM rest, the mind is less dynamic, and dreams are ordinarily less striking and vital. The way that the patient depicted clear dreams is serious areas of strength for a that they were in REM rest, as opposed to one of the non-REM stages.
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You are driving down a highway and you pass mile marker 45. A while later, you pass mile marker 112. The highway is perfectly straight between marker 45 and marker 112. As you pass mile marker 112 , what is your distance, relative to mile marker 45 , to the nearest mile?
The distance, relative to mile marker 45, to the nearest mile when passing mile marker 112 on a straight highway is 67 miles.
When you pass mile marker 112 on a perfectly straight highway between marker 45 and marker 112, the distance covered is 112 - 45 = 67 miles. This means that you have traveled a total of 67 miles from mile marker 45 to mile marker 112.
To determine the distance relative to mile marker 45, we consider the distance remaining from mile marker 112.
Since you have passed mile marker 112, the remaining distance to cover until you reach the nearest mile relative to marker 45 is the difference between 112 and the nearest mile greater than 112.
Let's assume the nearest mile greater than 112 is 113.
Therefore, the remaining distance is 113 - 112 = 1 mile.
In conclusion, when passing mile marker 112 on the straight highway, the distance relative to mile marker 45 to the nearest mile is 67 miles.
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PRETEST: The Number System
What is the fractional equivalent of the repeating decimal 0.2?
0339
off
O
O
6/N
27
5 of 13 QUESTIONS
SUBMIT
The fractional equivalent of the repeating decimal 0.2 is 2/9
How to determine the fractional equivalent of the repeating decimalFrom the question, we have the following parameters that can be used in our computation:
Repeating decimal = 0.2
Represent properly
So, we have
Repeating decimal = 0.2222
Express as fraction
So, we have
Fraction = 2/(10 - n)
In this case
n = 1
So, we have
Fraction = 2/(10 - 1)
Evaluate
Fraction = 2/9
Hence, the fractional equivalent is 2/9
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What is the area of the parallelogram below?
Answer:
8
Step-by-step explanation:
length = 4
width= 2
4 x 2 = 8
Just count the squares like you would normally do to a rectangle and do the area like you would normally do with a rectangle
PLEASE ANSWER ASAP
Which explanation justifies how the area of a sector of a circle is derived?
A. The sector of a circle is a fractional part of the circle. Determine the fraction of the
circle that the sector represents. Multiply this fraction by the area of the entire circle.
B. Determine the percent of the sector of the circle divided by the degrees in a circle. Then find the number of triangles within a circle. Divide the two numbers and multiply by the area of the circle.
C. Find how many sector pieces fit in a circle. Divide this number by the total degrees in a circle. Then multiply the quotient by the diameter of the circle.
D. The sector of a circle represents a part of a whole circle. Determine how many sections of the sectors will fit in the circle. Multiply this number by 180 and then multiply it by the area of the circle.
Answer:
The correct explanation is **A.**
The area of a sector of a circle is derived by determining the fraction of the circle that the sector represents. This fraction is then multiplied by the area of the entire circle.
For example, if a sector of a circle has an angle of 60 degrees, then it represents 1/6 of the circle. The area of the sector is then calculated as follows:
```
Area of sector = (1/6) * Area of circle
```
```
Area of sector = (1/6) * πr²
```
```
Area of sector = (πr²) / 6
```
The other explanations are incorrect.
* Explanation B is incorrect because the number of triangles within a circle is not relevant to the area of a sector.
* Explanation C is incorrect because the number of sector pieces that fit in a circle does not determine the area of a sector.
* Explanation D is incorrect because the number of sections of the sectors that fit in the circle does not determine the area of a sector.
Step-by-step explanation:
what is the relationship between the volume of the cone inscribed in a hemisphere and the volume of the hemisphere?
Answer:
The volume of the hemisphere is 2/3 of the volume of the cone.
Step-by-step explanation:
pa brainly po and thanks
i give brainlesss if u help me
Answer:
91,858
Step-by-step explanation:
This is the right answer
Answer: the answer is B hope it helps
Step-by-step explanation:
16,468 plus 75,390 = 91858
H + 11 < 16 what do u divide by and what would be the answer?
Step-by-step explanation:
please answer this question quickly
Answer:
H<5
Step-by-step explanation:
u solve it as a normal equation but with the symbol <.
Write the fraction 7/8 as an equivalent fraction with the given denominator 40
Answer:
35/40
Step-by-step explanation:
7/8, with the given denominator 40
So how do we get 8, to turn into 40?
Simple multiplication.
8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.
So
7x5 = 35
The answer should be 35/40
1000 tickets were sold. Adult tickets cost $8.50, children's cost $4.50, and a total of $5700 was collected. How many tickets of each kind were sold?
Answer:
300 adult tickets and 700 children's tickets
Step-by-step explanation:
Let the number of adult tickets sold be a and the number of children's tickets sold be c.
a +c= 1000 -----(1)
Total amount collected
= (number of adult ticket)(cost of an adult ticket) +(number of children's tickets)(cost of a children's ticket)
a(8.50) +c(4.50)= 5700
8.5a +4.5c= 5700 -----(2)
From (1):
a= 1000 -c -----(3)
Substitute (3) into (2):
8.5(1000 -c) +4.5c= 5700
Expand:
8500 -8.5c +4.5c= 5700
Simplify:
8500 -4c= 5700
4c= 8500 -5700
4c= 2800
Divide both sides by 4:
c= 2800 ÷4
c= 700
Substitute c= 700 into (3):
a= 1000 -700
a= 300
Thus, 300 adult tickets and 700 children's tickets were sold.
Please Show your work, equations, etc. I will name Brainliest!!!! (: A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?
Answer:
200 ft^2
Step-by-step explanation:
The surface area of the pyramid is the sum of the area of the base and the areas of the 4 congruent triangular sides.
SA = LW + 4 * bh/2
SA = 10 ft * 10 ft + 4 * (10 ft)(5 ft)/2
SA = 100 ft^2 + 2(50 ft^2)
SA = 200 ft^2
(P.S. It's impossible to make a pyramid with these dimensions.)
Answer:
\(\boxed{\sf 200 \ feet^2}\)
Step-by-step explanation:
The 3D shape is a square-based pyramid.
The surface area of a square-based pyramid is given as:
\(\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2\)
Plug in the values.
\(\sf SA=2 \times 10 \times 5 + 10^2\)
\(\sf SA=100 + 100\)
\(\sf SA=200\)