Answer:
( - infinity, -3 ] [ -2, infinity )
square bracket means it includes the end point.
Step-by-step explanation:
(-∞, -3]U [-2,∞)
examples of subtraction of two fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.
Answer:
Step-by-step explanation:
3/5 - 2/5 = (3-2)/5 = 1/5
7/10 - 3/10 = (7-3)/10 = 4/10 = 2/5
which is an irrational number
Answer:
The irrational number is [tex]\sqrt{\frac{5}{3}}[/tex].
__________________________________
Definition : In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Answer:
Step-by-step explanation:
I'm not sure but I think it's A
I'm not sure!!
(pls do not vote ..)
Bye!
Instant Dinner comes in packages with weights that are normally distributed, with a standard deviation of 0.5 oz. If 2.3% of the dinners weigh more than 13.2 oz, what is the mean weight?
Answer:
12.2
Step-by-step explanation:
2.3%= 0.023
So that is the probability that it will be over 13.2 oz, or .977 is the prob that it will be below 13.2
z-score = (real score - mean)/standard deviation
I found .977 at a z-score of 2.00
so 2.00 = (13.2-m)/0.5
=> m=12.2
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university.
No. of absences 0 1 2 3 4 5 6 7 8 9
Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2
a) Which variable is the explanatory variable?
b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form).
c) Compute the correlation coefficient
d) Does a linear relation exist between the number of absences and the final grade? Justify your answer.
e) Write out the least-squares regression line equation.
f) Compute and draw the residual (on your scatter plot) for a student who misses 5 class meetings.
g) Explain the slope in context.
h) Is the y-intercept meaningful in this situation? Explain.
i) Compute and interpret the coefficient of determination.
j) Construct a residual plot to verify the requirements of the least-squares regression model.
Ava was traveling in her car at 38 miles per hour (miles/h). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilometers per hour (km/h).
Answer:
Step-by-step explanation:
o.6214 miles= 1km
1 mile=1/0.6214 =(10000)/6214 km
38 miles=(10000)/6214 ×38 ≈61.1 km/hr
b. If you take one spin, what is your expected value?
Answer:
3/7
Step-by-step explanation:
Expected Value:
3(1/7) + 1(2/7) + 0(2/7) - 1(2/7) = 3/7
Expected value when we take one spin = 3/7
What is the expected value?It is the sum of values multiplied by their respective probabilities.
How do we calculate the expected value after one spin?We have 2 red, 2 purple, 2 yellow, and 1 blue sector.
Total number of Sectors = 7
∴Probability of landing on red sector = 2/7
∴Probability of landing on purple sector = 2/7
∴Probability of landing on yellow sector = 2/7
∴Probability of landing on blue sector = 1/7
Points on blue sector = 3, on yellow sector = 1, on purple sector = 0, and on red sector = -1.
X 3 1 0 -1
P(X) 1/7 2/7 2/7 2/7
Expected Value = ∑X.P(X)
=3.(1/7) + 1(2/7) + 0(2/7) - 1(2/7)
= 3/7
Learn more about Expected Values on
https://brainly.com/question/15858152
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Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines shown below, which one would be closest to the number of days overdue?
Answer: 21 days overdue
Explanation: Since her fine was same as the amount on the following day. 21 will be closest to the number of day overdue so it is 21 days.
Answer:
22
Explanation:
They are saying that it has to be the closest number to the number of days overdue, cannot be neither 10 nor 14, and it cannot be 18 because that's one day from the days it's been overdue, and the question is saying: Her fine was the same as the amount on the following day. The graph shows us that it is about 1 more day than 18, so the only reasonable answer here is 22.
Also, I got it correct on edg =)
Anyone knows what the answer for this is I am really confused on it
Can someone help 12 points on the line
Answer:
x=6
Step-by-step explanation:
We can write this as a ratio
x 9
---- = --------
10 15
Using cross products
15x = 10*9
15x = 90
Divide by 15
15x/15 = 90/15
x =6
Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.
Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°
A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles. How much does he put in each bottle?
Answer:
4/15 gallon per bottle
Step-by-step explanation:
First, we find the remaining fraction of fertilizer after using 1/5. Using our fraction calculator, we see:
1 - 1/5 = 4/5
To find the amount of fertilizer per bottle, we then divide 4/5 by 3 and we get:
4/15 gallon per bottle
2hr 57min+3hrs42min
Answer:
6 hrs 33 minutes
Step-by-step explanation:
2hr 57min
+3hrs42min
----------------------
5 hrs 99 minutes
But 1 hr = 60 minutes so subtract 60 minutes and add 1 hour
6 hrs 33 minutes
Answer:
6hr 39 min
Step-by-step explanation:
Add both
2hr 57 min
+ 3hr 42 min
5hr 99 min
we know that 1 hr = 60 min
then , 99 min = 1hr 39 min
so, 5hr + 1hr 39min
= 6hr 39 min
A,B and C are the vertices of a triangle,
A has coordinates (4,6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
prove that DE is parallel to BC.
Answer:
SSS (side, side, side)
hope it helps:))!!!
Solve the system by graphing. Write the solution as an ordered pair.
y = 13x + 2
y = –x – 2
PLEASE HELP!!!!!
Answer:
the answer to the question is - 2 over 7 and - 12 over 7
Identify the solutions to the quadratic equation.
Check all that apply.
x2 + 3x-28 = 0
D A. X=4
B. X= 3
O C. x= -5
O D. X = 28
O E. x= -7
Answer:
A and E
Step-by-step explanation:
x²+3x-28=0
x²+7x-4x-28=0
x(x+7)-4(x+7)=0
(x-4)(x+7)=0
x=4, x= -7
Please give brainliest if it helps
A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months (INC. Magazine, February 2012). A categorical response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 180 companies are summarized as follows.
a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. At a .05 level of significance, what is your conclusion?
b. Discuss any differences in the employment plans for private and public companies over the next 12 months.
Answer:
employment plan for the next 12 months is not independent of the type of company
Step-by-step explanation:
H0 : employment plan for the next 12 months is independent of the type of company
H1 : employment plan for the next 12 months is not independent of the type of company
The Chisquare statistic, χ² :
χ² = (observed - Expected)²/ Expected
Given the data:
Observed values :
_________________ Company
Emp plan ________ private _____ public _total
Add employees _____ 37 ________ 32 __ 69
No change__________19 ________ 34 __53
Layoff employees ____ 16 ________ 42__58
Total ______________72 ________108 _ 180
The expected value counts :
(Row total * column total) / grand total
Expected Values:
27.6 ___41.4
21.2 ___ 31.8
23.2 ___34.8
Chi-Squared Values:
3.20145 ___2.1343
0.228302__ 0.152201
2.23448 ____1.48965
χ² = (3.20145 + 2.1343 + 0.228302 + 0.152201 + 2.23448 + 1.48965)
χ² = 9.440383
Degree of freedom, df (row - 1) * (column - 1) = (3-1) * (2 - 1) = 2 * 1 = 2
Pvalue from Chisquare statistic, df = 2
Pvalue = 0.008913
Since ;
Pvalue < α ; We reject the null and conclude that employment plan for the next 12 months is not independent of the type of company.
55 squared- 45 squared=
Answer:1000
Step-by-step explanation:
Create a tree diagram that shows all the possible outcomes for tossing a coin and spinning a spinner with six equal sections numbered 1 through 6.
Step-by-step explanation:
We can use a tree diagram to help list all the possible outcomes.
probability tree coin dice
From the diagram, n(S) = 12
This may help you....
plzzz mark me as brainlist....
In the following distribution, P(X<2) = 0.35, and expected value is 1.9
X 0 1 2 3 4
P(X) 0.10 A 0.35 B C
Required:
a. Use the fact that P(X< 2) = 0.35 to find the value of A.
b. Determine the value of B.
c. Determine the value of C.
Solution :
We have :
X 0 1 2 3 4
P(X) 0.10 A 0.35 B C
a). P(X < 2) = 0.35
P(X < 2) = P(X = 0) + P(X = 1) = 0.35
⇒ 0.10 + A = 0.35
⇒ A = 0.25
So the value of A is 0.25
b). The total probability = 1
So ,
0.10 + A + 0.35 + B + C = 1
0.10 + 0.25 + 0.35 + B + C = 1
B + C = 1 - 0.70
B + C = 0.30 ......(i)
We have the expected value = 1.9
So, [tex]$\sum X P(X) = 19$[/tex] for x = 0, 1, 2, 3, 4
⇒ (0 x 0.10) + (1 x 0.25) + (2 x 0.35) + (3 x B) + (4 x C) = 1.9
⇒ 0 + 0.25 + 0.70 + 3B + 4C = 1.9
⇒ 3B + 4C = 1.9 - 0.95
⇒ 3B + 4C = 0.95 ...................(ii)
From (i), we take the value of B = 0.30 - C and substitute it in the equation (i), we get,
⇒ 3( 0.30 - C) + 4C = 0.95
⇒ 0.90 - 3C + 4C = 0.95
⇒ C = 0.95 - 0.90
= 0.05
Now substituting the value of C = 0.05 in (ii), we get,
⇒ B = 0.05 = 0.30
⇒ B = 0.25
c). The value of C is 0.05
14.32 × 1.2,...........
Answer:
17.18400
Step-by-step explanation:
When rounded to the nearest whole number, it's 17.
Hope this helped :)
find the derivatives of f(X)=25
Answer:
The derivative of any constant number is 0.
So,
Differentiating with respect to "x",
d f(x)/dx
=d 25/dx
=0
What equation is always true?
Answer: 4)
Step-by-step explanation: angles 2 and 3 equal 7 because they are both missing angle 4 to make it either 180 degrees or 360 degrees respectively.
es urjente
Identifica los elementos de una ecuación
18 – 3x = 14x + 1 b) y – 5y + 16 = 0 c) 6m – m + 8 = 9m
Primer Miembro
Segundo Miembro
Incógnita
Coeficiente
Términos independientes
Answer:
Espera espera espera.......
primer miembro es el independiente
incógnitas es la letra literal x b y c m
coeficiente es el resultado de la división
terminos independientes son aquellos los que no tienen cualquier letra 18 16 8
Step-by-step explanation:
espero que ayude
A metal cube dissolves in acid such that an edge of the cube decreases by 0.53 mm/min. How fast is the volume of the Cube changing when the edge is 6.3 mm?
Answer:
The volume of the cube is decreasing at a rate of 63.1071 cubic millimeters per minute.
Step-by-step explanation:
The volume of a cube is given by:
[tex]V=s^3[/tex]
Implicitly differentiate the equation with respect to time t:
[tex]\displaystyle \frac{dV}{dt}=3s^2\frac{ds}{dt}[/tex]
The edge of the cube decreases by 0.53 mm/min. Therefore, ds/dt = -0.53.
When the edge is 6.3 mm, s = 6.3.
Substitute and evaluate:
[tex]\displaystyle \frac{dV}{dt}=3(6.3)^2\left(-0.53\right)=-63.1071\text{ mm}^3/\text{min}[/tex]
The volume of the cube is decreasing at a rate of 63.1071 cubic millimeters per minute.
how many solutions does this system have?
Answer:
B. One
Step-by-step explanation:
Multiply the first equation by 2 and then add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}2x+8y=18,\\-2x+y=0\end{cases}[/tex]
Adding both equations:
[tex]8x+y=18,\\9y=18,\\y=2[/tex]
Substituting [tex]y=2[/tex]:
[tex]-2x+2=0,\\-2x-2,\\x=1[/tex]
Therefore the only solution to the system of equations is (1, 2) and the system has one solution.
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 72 cm, what is the
length of the diagonal?
The length of the diagonal is
cm.
Give your answer to 2 decimal places.
Answer:
Step-by-step explanation:
W=2L-2
A=72
LW=72
L(2L-2) = 72
2L^2 -2L= 72
2L^2 -2L-72=0
L^2 - L -36 = 0
L= -5.52 or 6.52(neg # not a solution)
W=11.04
L=6.52
DIAG = [tex]\sqrt{11.04^2+6.52^2}[/tex] = 12.82
~~~~~~~~~~~~~~
What is the radius of a sphere with a volume of 11411 m ^3 to the nearest tenth of a meter
Answer:
r = 22.5
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
[tex]11411=\frac{4}{3} \pi r^{3}[/tex]
[tex]r^{3}=3(\frac{11411}{3})[/tex]
[tex]r^{3}=11411[/tex]
∛r³ = ∛11411
r = 22.5134076467
22.5134076467 rounded to the nearest tenth is 22.5
Answer:
its 14
Step-by-step explanation:
If U = { 1 , 2 , 3 , 4 , 5 ,6 , 7 , 8 , 9 }. A={1 , 2 , 3 , 4 } , B= {2 , 4 , 6 , 8 } .Find
(i) ( − )′ (ii) ∩
Answer:
(A - B)' = {2, 4, 5, 6, 7, 8, 9}
(A n B) = {2, 4}
Step-by-step explanation:
Given the set :
U = { 1 , 2 , 3 , 4 , 5 ,6 , 7 , 8 , 9 }
A={1 , 2 , 3 , 4 } , B= {2 , 4 , 6 , 8 }
(A - B) = elements of A which are not in B
(A - B) = {1, 3}
(A - B)' = the complement of A - B ; element in the universal set which are not in A - B
(A - B)' = {2, 4, 5, 6, 7, 8, 9}
(A n B) = elements in both set A and set B
(A n B) = {2, 4}
The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?
Find the z score for each state.
Answer:
The z-score for a home priced at $200,000 in Florida is of -2.5.
The z-score for a home priced at $200,000 in Ohio is of 2.5.
The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. Home of $200,000.
This means that [tex]\mu = 240, \sigma = 16, X = 200[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{200 - 240}{16}[/tex]
[tex]Z = -2.5[/tex]
The z-score for a home priced at $200,000 in Florida is of -2.5.
The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Home of $200,000.
This means that [tex]\mu = 170, \sigma = 12, X = 200[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{200 - 170}{12}[/tex]
[tex]Z = 2.5[/tex]
The z-score for a home priced at $200,000 in Ohio is of 2.5.
Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?
The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.
HELP PLEASE ASAP What is the product of any integer and -1?
Answer:
A
Step-by-step explanation:
The product is opposite of the integer
For example
2 * -1 = -2
