Answers
9514 1404 393
Answer:
F ∪ H = [2, ∞)
F ∩ H = (6, ∞)
Step-by-step explanation:
Graphs of the two sets are shown in the attachment. Set F is shown in red; set H is shown in blue. The solid dot means the point is included in the set, equivalent to a square bracket in interval notation. The open dot means the point is not included in the set, equivalent to a round bracket (parenthesis) in interval notation.
F ∪ H
The union of two sets is the set that contains elements that are members of either set. Here, set F includes all of the elements of set H, so the union of the to sets is simply set F.
F∪H = F = [2, ∞)
__
F ∩ H
The intersection of two sets is the set of elements that are common to both sets. Here, every element of set H is also an element of set F, but not vice versa. So, the intersection of the sets is equivalent to set H.
F∩H = H = (6, ∞)
Related Questions
If two lines have different slopes, the solution is no solution. True or false? PLS HELP ASAP WILL GIVE BRAINLIEST
Answers
Answer:
the answer is true
Step-by-step explanation:
i took it on edg
The zeros of a function f(x) are 8 (double root) and -3 and the y-intercept is -768. Write the equation of f(x) in factored form.
Answers
9514 1404 393
Answer:
f(x) = -4(x +3)(x -8)²
Step-by-step explanation:
Each zero (z) gives rise to a factor (x -z). The given zeros mean the factored form is ...
f(x) = a(x -8)²(x +3)
The value of this at x=0 is ...
f(0) = a(-8)²(3) = 192a
We want the value to be -768, so ...
-768 = 192a
-4 = a . . . . . . . . divide by the coefficient of 'a'
Then the factored form is ...
f(x) = -4(x +3)(x -8)²
Andre wrote the inequality to plan his time. Describe what 3x + 10 ≤ 30 represent in this inequality.
Answers
Step-by-step explanation:
3x + 10 ≤ 30 3x ≤ 30 - 10 3x ≤ 20x ≤ 20/3A third-grade class is using plaster of Paris to make impressions of their hands. Each student needs 12 ounces of plaster to make an impression. There are a total of 20 students in the class. How many pounds of plaster will the teacher need for the activity?
Answers
Answer:
15 pounds of plaster
Step-by-step explanation:
First, convert ounces to pounds.
In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.
[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]
Cross multiply and solve for x:
16x = 12
x = 0.75
So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:
20(0.75)
= 15
So, the teacher will need 15 pounds of plaster
Answer:
15 pounds
Step-by-step explanation:
The data below shows the grams of fat for a variety of snacks. Morris wants to calculate the standard error of the sample mean for this set of data. Snack Grams of Fat Snack 1 9 Snack 2 13 Snack 3 21 Snack 4 30 Snack 5 31 Snack 6 31 Snack 7 34 Snack 8 25 Snack 9 28 Snack 10 20 What is the standard error for this set of data
Answers
Answer:
the standard error of data set is 2.628
Step-by-step explanation:
Given the data in the question;
set;
x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20
To get the standard of Error for this data set, we use the formual
S.E = s / √n
First we determine the mean average;
Mean x' = ∑x / n = ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10
x' = 242 / 10
Mean x' = 24.2
Next we find the standard deviation s:
x (x-x')²
9 231.04
13 125.44
21 10.24
30 33.64
31 46.24
31 46.24
34 96.04
25 0.64
28 14.44
20 17.64
Total ∑(x-x')² = 621.6
so Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 ) = 621.6 / 9
Variance = 69.0667
Standard deviation S = √Variance
Standard deviation S = √69.0667
Standard deviation S = 8.3106
So we substitute into our formula to get the standard of error;
S.E = 8.3106 / √10
S.E = 2.628
Therefore, the standard error of data set is 2.628
Answer:
2.63
Step-by-step explanation:
help me I got 25 missing assignments
Answers
Answer:
think it's the last one
Step-by-step explanation:
sorry if i'm wrong
a portion of 7200 is invested at 5 1/2 percent interest, and the rest is invested at 5 percent interest. if the yearly income from the money is rs. 387 how much is invested at each rate ?
Answers
Answer:
A 5.5% = 5400 B 5% = 1800
Step-by-step explanation:
A + B = 7200
A * 0.055 + B * 0.05 = $387
A = 7200 - B
(7200 - B)*0.055 + B*0.05 = 387
396 - 0.055B + 0.05B = 387
396 - 0.005B = 387
0.005B = 9
B = 1800
A = 7200 - B = 7200 - 1800
A = 5400
Can someone please help me?!!!!
Answers
Answer:
The answer is:
0.18
0.92
0.15
1.80
How do I find the length
Answers
Round .335 to
the nearest:
tenths
hundredths
Answers
Hundredths=0.34
What is the completely factored form of this polynomial? 4x^4+12x^2+9
Answers
Answer:
(2x^2+3)^2
Step-by-step explanation:
See image below:)
The manager of a new supermarket wished to estimate the likely expenditure of his customers. A sample of till slips from a similar supermarket describing the weekly amount spent by 500 randomly selected customers was collected and analysed. This expenditure was found to be approximately normally distributed with a mean of $50 and a standard deviation of $15.
Find the probability that any shopper selected at random spends more than $80 per week?
Find the percentage of shoppers who are expected to spend between $30 and 80 per week?
Answers
Answer:
0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.
88.54% of shoppers are expected to spend between $30 and 80 per week.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
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.
Normally distributed with a mean of $50 and a standard deviation of $15.
This means that [tex]\mu = 50, \sigma = 15[/tex]
Find the probability that any shopper selected at random spends more than $80 per week?
This is 1 subtracted by the p-value of Z when X = 80. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 50}{15}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.
Find the percentage of shoppers who are expected to spend between $30 and 80 per week?
The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 30.
X = 80
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 50}{15}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772
X = 30
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 50}{15}[/tex]
[tex]Z = -1.33[/tex]
[tex]Z = -1.33[/tex] has a p-value of 0.0918
0.9772 - 0.0918 = 0.8854
0.8854*100% = 88.54%
88.54% of shoppers are expected to spend between $30 and 80 per week.
5/6 x 2/5 Help pls!!!
Answers
Step-by-step explanation:
10/30
hope this helps.............
Find the volume of the solid. Round your answer to the nearest tenth
Answers
Answer:
Solution given:
Volume of cone=⅓πr²h
Volume of cylinder=πr²h
1.
volume =πr²h=π*(10/2)²*6=471.23mm³
2.
Volume =πr²h=π*8*12.5=314.16in³
3.
volume =⅓πr²h=⅓*π*4²*3=50.26cm³
4.
Volume =⅓πr²h=⅓*π*(8/2)²*12=201.06in³
At two digits is such that the Sum of its to digits is ten. if the digit are reversed the number formed exceed the original number by 18. Find the number
Answers
Answer:
46
Step-by-step explanation:
the number is 46
Assume that y varies inversely with the
square of x, then solve.
When x is 5, y is 4/5. Find y when x is 8.
Answers
Answer:
y = 5/16
Step-by-step explanation:
[tex]y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}[/tex]
Plz tell the AWANSER proper
Answers
Answer:
12 each
Step-by-step explanation:
60 / 5 = 12 each
Expand ( x - 1/x^2)^4
Answers
Answer:
We want to expand the expression:
[tex](x - \frac{1}{x^2} )^4[/tex]
We can just do it by brute force, this is:
First, rewrite our expression as the product of two square factors:
[tex](x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2[/tex]
Now we can expand each one these two factors:
[tex](x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}[/tex]
That can be simplified to
[tex]x^2 - \frac{2}{x} + \frac{1}{x^4}[/tex]
Now we can replace that in our original expression to get:
[tex](x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})[/tex]
Now we can expand that last product, to get:
[tex](x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2[/tex]
We can simplify that to:
[tex]x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}[/tex]
That is the expanded expression.
(easy math question please help) find the value of x question #9
Answers
Answer:
Step-by-step explanation:
25+125+(-5x)=180 degree(sum of interior angles of a triangle is 180 degree)
150-5x=180
-5x=180-150
x=30/-5
x=-6
I’m confused:/ can somebody help me??
Answers
Answer:
I got ya :D
the answer is
[tex] \binom{ - 18 \: \: \: 10 }{5 \: \: \: - 3} [/tex]
explanation in the attachment
solve for system of equations -x+2y=8, x-2y=-8
Answers
Answer:
0.. everything just cancels out
a warehouse has a height of
Answers
L*W*H
Hope this helps :D
Which best describes the strength of the model?
O a weak positive correlation
a strong positive correlation
a weak negative correlation
O a strong negative correlation
Answers
Answer: A weak positive correlation
Step-by-step explanation: Took the testtt
Answer:
Weak negative correlation
Step-by-step explanation:
From the data given, we can fit the model using technology,
The correlation Coefficient obtained is - 0.129 ; this value being negative means that there exist a negative relationship between the two variables. Also, the correlation Coefficient value is closer to 0 ; this also depicts a weak relation ship between the variables, hence, resulting in the conclusion that the variables have a weak negative correlation.
PLEASEEEE HELPPPPP IM BEGGING SOMEONE HELPPP PLEASEEEEEEEEE PLEASEEEEEEEE
Answers
Answer:
x = -1
y = 6
Step-by-step explanation:
We can multiply the second equation by two, so we can have opposite y terms:
2 (3x - 2y = -15)
6x - 4y = -30
Now, we can add the equations, and the y terms can cancel out:
7x + 4y = 17
+ 6x - 4y = -30
13x = -13
x = -1
Now, we can plug in x:
3(-1) - 2y = -15
-3 - 2y = -15
-2y = -12
y = 6
Y= 6
That’s the answer
HELP PLEASE
Question: 1. Line segment AB has endpoints A(8, 3) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:2. 2. Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.
Answers
Answer:
a) (6,4)
b) (5, 4.5)
Step-by-step explanation:
much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.
to set context, a midpoint would break the segment into a ratio of 1:1.
so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:
[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]
for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.
[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]
HELP!! Pauline Wong spends 3hours selling a used car and 5hours selling a new car. She works no more than 31hours per week. In order to receive a bonus, she must sell at least twoused car and twonew cars each week. In that case, she receives a bonus of $200for each used car and $300for each new car. How many new cars and how many used car should she try to sell to maximize her bonus? What is the maximum bonus?
a) Define the variables to use
b) Goal function
c) Constraints
Answers
Answer:
B)Goal Function
A person is in a plane 12.5 km above the ocean. How far from the plane can the person see out on the ocean? (The radius of Earth is 6378 km.)
The person can see approximately km.
(Type an integer or a decimal rounded to two dečimal places as needed.)
Answers
Answer:
Step-by-step explanation:
The line fron the airplane wich is tangent to earth surface is also perpendicular to the radius as you can see in the figure. So is valid to contruct the right-angled triangle as shown in the second figure.
[tex]r^2+(r+h)^2=x^2\\\\r=6378Km,~h=12.5Km\\\\x^2=81517374.25\\\\x=9028.7Km[/tex]
how many years (to two decimal places) will it take an investment of $17,000 to grow to $41,000 if it is invested at 2.95% compounded continuously
Answers
Answer:
30 years
Step-by-step explanation:
Given data
P=$17,000
A= $41,000
R=2.95%
the expressio for the time is
t= ln(A/P)/r
t= ln(41,000 /17000)/0.0295
t= ln(2.41176)/0.0295
t= 0.8803/0.0295
t= 29.8
about 30 years
A baseball is hit at an angle θ horizontal with the ground. Suppose the initial velocity is 100 feet per second. An outfielder catches the ball 300 feet from home plate. The range is determined by the following function: range=1/32 v_0^2 sin〖(2θ)〗. Find the angle.
Answers
Answer:
The angle of projection is 36.86 degree.
Step-by-step explanation:
speed, u = 100 ft/ s
range, R = 300 ft
Use the formula of range
[tex]R = \frac{u^2 sin2\theta}{g}\\\\300 =\frac{100\times 100 sin2\theta}{32}\\\\sin2\theta =0.96\\\\2\theta =73.74^o\\\\\theta = 36.86^o[/tex]
please answer this question
Answers
Answer:
328
Step-by-step explanation:
To find the lenght of the far left side use SOH, CAH, TOA
we have the hypotonouse and need the opposite side so we'll use SOH
sin(38)=x/26
26sin(38)=16
Then use pathagoreyous theroem to solve for the last side
a²+16²=26²
a= 20.4882
Then the area is just length*width so
16*20.4882=327.9599 which rounds to 328
Answer:
Solution given:
we have
sin 38=opposite/hypotenuse
opposite=breadth [w=b]=sin38*26=16
by using Pythagoras law
l²+b²=26²
l²=26²-16²
l=√420
l=20.5
now
Area =l*w=20.5*16=328cm²