Answer:
Step-by-step explanation:
Like terms have same variables. Combine like terms.
2) (-4x + 6) + (x - 5) = -4x + 6 + x - 5
= -4x + x + 6 - 5
= -3x + 1
4) (-2x + 10) + (-8x - 1) = -2x + 10 - 8x - 1
= - 2x - 8x + 10 - 1
= - 10x + 9
6) (8x + 9) + (-6x - 1) = 8x + 9 - 6x - 1
= 8x - 6x + 9 - 1
= 2x + 8
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
Look at the arrows in the drawings below. Indicate whether the arrows are parallel, perpendicular, or neither.
Answer:
In A and D the arrows are perpendicular, in B they are parallel and in C they are neither parallel nor perpendicular.
Step-by-step explanation:
ANSWER QUICKLY
what are 2 things you are allowed to assume for proofs if the picture show for congruency
Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.
Step-by-step explanation:
Pls help extra points and mark brainlist easy reading
Answer:
A should be the answer pls brainliest
Step-by-step explanation:
I need help please..
Answer:
Charlotte: 7
Step-by-step explanation:
You can subtract 29 on both sides to get 7=p
35 points! Will mark Brainliest! Real answers only!
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Answer:
Yea the answer is right
Step-by-step explanation:
MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST
Answer:
79.4
Step-by-step explanation:
(85+90+68+75+79) / 5 =79.4
What expressions are equivalent to -4/3 p -2/5
Answer:
-3/6
Step-by-step explanation:
integer rules
EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.
Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
Is the number of increments in part B positive or negative?
positive
Step-by-step explanation:
Answer:
The number of increments is positive.
Step-by-step explanation:
got it on edmentum :)
Urgent!!!! Solve 3∣∣x+2∣∣<12.
Graph the solutions on the number line.
Step-by-step explanation:
First, you have to solve the inequality of x :
| x + 2 | < 12
x + 2 < 12
x < 10
AND
- x - 2 < 12
- x < 14
x > - 14
Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
Find each difference.
A: (−5)−6
B: 35−(−8)
C: −438−(−114)
Answer:
A = -11
B = 43
C = -324
Step-by-step explanation:
-5 - 6 = -11
35 + 8 = 43
-438 + 114 = -324
3x + 4y + 4 > 0
how would i solve this?
Here another oneeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
DAMMMMM U KNOW ME TOO WELLL
Step-by-step explanation:
Answer:
the anime is fire force
Step-by-step explanation:
In Year 198 of the Solar Era in Tokyo, Special Fire Force's are fighting against a phenomenon called Spontaneous Human Combustion where humans beings are turned into living infernos called “Infernals.” While the Infernals are First Generation cases of spontaneous human combustion
_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour
= Political behaviour
Step-by-step explanation:
political behaviour consists of activities that are
not required as part of one's formal
role in the organization
Please solve this problem
Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.
Write an equation that relates the total slices of pizza, T, to the number of guest, g.
Thanks
Answer:
3g + 8 = T
Step-by-step explanation:
3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.
Hope this helps :D
Marissa counted 29 coins in her change purse which contained d dimes and q quarters. The value of the coins is $5.00. How many dimes and how many quarters are in her change purse?
Answer:
15 dimes 14 quarters
Step-by-step explanation:
d+q=29
10d+25q=500
10d+10q=290
15q=210
q=14
d=15
Answer:
29 bucks a piece equlas is de 5 dollar tip is de dog and is the rare dollarido ok yes is good dooddood okokokokokkokokokokok so ther is you answar
Step-by-step explanation:
three integers have a mean of 7, a median of 5 and a range of 14. find the three integers
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
Use the graph to the right to write an equation of the line.
The equation is
(Simplify your answer. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation.)
PLEASE HELP
Answer:
Using the point (-2,-4) it would be:
y + 4 = 1/3(x + 2)
Using the point (4,-2) it would be:
y + 2 = 1/2 (x - 4)
Step-by-step explanation:
hope this helps :)
Need help with this:(
Answer:
x=0
y=-3
Step-by-step explanation:
Find the area of the Composite Shape.
PLEASE HELP!
Answer:
[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]
[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]
Step-by-step explanation:
Important Information:
Area of a circle= [tex]\pi r^2[/tex]
Area of a triangle= [tex]\frac{base*height}{2}[/tex]
Diameter of a cirlce= [tex]2*radius[/tex]
Method:
The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.
The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.
Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.
The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.
The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).
Step by Step:
1) Multiply 3 by 2.
[tex]3*2=6[/tex]
2) Multiply 6 by 9.
[tex]6*9=54 inches^2[/tex]
3) Divide 54 by 2.
[tex]54/2=27inches^2[/tex]
4) Multiply pi by 3 squared.
[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]
5) Divide 28.27 by 2.
[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]
6) Add 27 to 14.14.
[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]
(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1
Answer:
2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.
Step-by-step explanation:
c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).
The slopes of the asymptotes of the hyperbola are +3 and -3.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The standard equation for a hyperbola with a horizontal transverse axis is:
[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]
where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.
Comparing this to the given equation:
[tex]x^2/2^2 - y^2/6^2 = 1[/tex]
We can see that h = k = 0, a = 2, and b = 6.
The slopes of the asymptotes are given by:
±(b/a)
So, the slopes of the asymptotes are:
±(6/2) = ±3
Therefore,
The slopes of the asymptotes of the hyperbola are +3 and -3.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
What is the slope of the line through (2, 10) and (-2, 17)?
Suppose a purchasing manager wants to determine the average cost of machined metal parts in the US. How many machined metal parts would they have to sample? The manager wants to be 90% confident with a margin of error of 6.74. Suppose that the costs of the metal parts ranges from 93 to 220. When entering the values into JMP, round the planning value for the standard deviation to four values after the decimal. Round final answer as you normally would.
Answer:
they will have to sample 60 machined metal parts
Step-by-step explanation:
Given that;
Margin of Error E = 6.74
at 90% Confidence Interval, z = 1.645 { from table }
Range R = maximum range - minimum range = 220 - 93 = 127
standard deviation σ = R / 4 = 127/4= 31.7500
How many machined metal parts would they have to sample n = ?
to get our sample size, we use the following formula
n = [ zσ / E ]²
we substitute in our values
n = [ 1.645 × 31.7500 / 6.74 ]²
n = [ 52.2287 / 6.74 ]²
n = [ 7.7490 ]²
n = 60.047 ≈ 60
Therefore, they will have to sample 60 machined metal parts
You can use the margin of error with the z value and standard deviation to get the result.
The number of metal machine parts would be 60.
Given that:The confidence level needed is 90%The margin of error is 6.74The cost of metal parts ranges from 93 to 200To find:The number of machined metal parts that have to be sampled.
Finding the range of the distribution:Range = Max. value - min. value = 220 - 93 = 127
Finding the standard deviation:The standard deviation is approximately the quarter of the range of the distribution.
Thus, [tex]\sigma = 127 \div 4 = 31.75[/tex]
For 90% confidence, the z value is 1.645 (from z tables)
Thus, from the formula for size of sample, we have:
[tex]n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60[/tex]
The number of metal machine parts would be 60.
Learn more about sample size here:
https://brainly.com/question/25894237
Stefan sells Jin a bicycle for $176 and a helmet for $16. The total cost for Jin is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Step-by-step explanation:
Given that:
Selling price of bicycle = $176
Selling price of helmet = $16
Total price = 176+16 = $192
This is 160% of what Stefan paid originally.
Let,
x be the original amount paid by Stefan.
160% of x = 192
[tex]\frac{160}{100}x=192\\1.6x=192[/tex]
Dividing both sides by 1.6
[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]
Original amount paid by Stefan = $120
Profit = 192 - 120 = $72
Hence
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
1. How would you describe the strugure of the Yavapai-Apache Nation's government? 2. What is one check or balance mentioned in this section of the constitution?
I will give brainliest
$200 at 6% for 10 years find the interest and find the balance of the account
Answer:
358
Stefffffffffffffffffffffffffffp-by-step explanation:
Please help me !!!!!!
Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
i think its b
Step-by-step explanation:
y = - x + 4 y = 2x - 8
Answer:
{y,x} = {0,4}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = 2x - 8
// Plug this in for variable y in equation [1]
[1] (2x-8) + x = 4
[1] 3x = 12
// Solve equation [1] for the variable x
[1] 3x = 12
[1] x = 4
// By now we know this much :
y = 2x-8
x = 4
// Use the x value to solve for y
y = 2(4)-8 = 0