Answer:
A. build the hasse diagram of A
Step-by-step explanation:
Sana nakatulong
Describe the graph of y=-x and compare it with the graph of y = x
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent. If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) = [tex]\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}[/tex]
= [tex]{^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}[/tex] + .......+ [tex]{^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}[/tex]
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076
Divide. 21,900 / 25. Enter the exact quotient
Help me
Answer:
107 %
3 %
100 /8
Step-by-step explanation:
The exact quotient is 876.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
21,900 / 25
Now,
Using long division,
25 ) 21,900 ( 876
200
190
175
150
150
0
We see that,
The quotient is 876.
Thus,
The exact quotient is 876.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
The television landscape has changed as networks compete with streaming services such as Netflix and Amazon. Suppose that CBS plans to conduct interviews with television viewers in an attempt to estimate the proportion of viewers in the 18–49 age group who watch “most” of their television on network television as opposed to streaming services. CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?
Answer:
A sample size of 1068 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
CBS wishes to have 95% confidence and a margin of error in its estimate of ±0.03. What sample size is required?
We need a sample size of n, and is found when M = 0.03.
We dont have an estimate for the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.03})^2[/tex]
[tex]n = 1067.1[/tex]
Rounding up,
A sample size of 1068 is required.
Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is
Answer:
dV ≈ 927.4 cm³
Step-by-step explanation:
Formula for volume of a cylinder is;
V = πr²h
Using differentials, we have;
dV = (dV/dr)dr + (dV/dh)dh
Now, dV/dr = 2πrh
dV/dh = πr²
Thus, at r = 24/2 = 12 cm
And at h = 60 cm, we have;
dV/dr = 2π(12 × 60)
dV/dr = 4523.89 cm²
Also;
dV/dh = π(12)²
dV/dh = 452.39 cm²
the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2
the metal in the sides is 0.05 cm thick. Thus; dh = 0.05
Thus;
dV = (4523.89 × 0.2) + (452.39 × 0.05)
dV ≈ 927.4 cm³
Solve the inequality
7x + 4) > 0.
Answer:
Step-by-step explanation:
7(x + 4) > 0
x+4 > 0
x > -4
Answer:
x>4
Step-by-step explanation:
7(x+4)>0
distrubute
7x+28>0
subtract 28 from both sides
7x>28
divide both sides by 7
x>4
Hope that helps :)
In a sample of 800 adults, 218 think that most celebrities are good role models. Two adults are selected from this sample without replacement. Find the probability that neither adult think celebrities are good role models
Answer:
582/800 * 581/799
brr i do NOT want to calculate that
PLEASE, SOMEONE, ANSWER THESE PLEASE THE ONE WITH THE CORRECT ANSWER WILL GET A LIKE AND THE CROWN BOTTON
Answer:
20,90 for the first one
50% for second one
Please help me with the problem
Exact Answers:
Area = 150.5*sqrt(3)Perimeter = 57+7*sqrt(3)Approximate Answers:
Area = 260.673646539Perimeter = 69.12435565======================================
Explanation:
Your diagram is 100% correct. Nice work.
To get the area of the trapezoid, we could use the area of a trapezoid formula below:
A = h*(b1+b2)/2
In this case, we have,
h = 7*sqrt(3) = heightb1 = 18 = base1b2 = 25 = base2the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.
So,
A = h*(b1+b2)/2
A = 7*sqrt(3)*(18+25)/2
A = 7*sqrt(3)*21.5
A = (7*21.5)*sqrt(3)
A = 150.5*sqrt(3)
This is the exact area.
The approximate area is roughly
150.5*sqrt(3) = 260.673646539
The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.
Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.
-----------------------------------
To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.
Adding the four exterior sides leads to:
7*sqrt(3)+18+14+25 = 57+7*sqrt(3)
This value is exact. It approximates to
57+7*sqrt(3) = 69.12435565
The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.
Step-by-step explanation:
solution given:
for rectangle
length [l]=18km
breadth [b]=7√3 km
for triangle
base[b1]=25-18=7km
height [h]=b=7√3km
for area :area of. (rectangle +triangle}=
l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²
now
perimeter=sum of all sides
=18+14+25+7√3=69.12km
is your answer
write the equation of the line passing through -1,3 that is parallel to y=4x-7 AND. write the equation of the line (y=-1/4x+9) passing through the given point (3,-7) that is perpendicular to the given line
Answer:
I hope that helped
Step-by-step explanation:
3x+4y=-5
6x+2y=8
7x+y=0
4x-5+y=0
Combine the like terms to create an equivalent expression
−5j+(−2j)+3
Answer: -7j+3
Step-by-step explanation:Simplify
I need help. what is 2e=2
Answer:
e=1
Step-by-step explanation:
2e=2
Divide both sides by 2
2e/2=2/2
Simplify
e=1
ANSWERED by NONE other than the #QUEEN herself aka #DRIPPQUEENMO!!
HOPE THIS HELPED!!
can someone help me please
Answer:
Step-by-step explanation:
Answer:
The correct answer is B. $6.50 per pound.
the difference between a two digit number and the number obtained by interchanging the position of its digit is 36 what is the difference between two digit of that number
Answer:
4
Step-by-step explanation:
Let 10x+y be the two digit number. y is the one's digit and x is the ten's digit.
Interchanging the digits gives the new number 10y+x.
We are given when we subtract these numbers we get 36.
(10x+y)-(10y+x)=36
Put like terms together
Remember the terms in the second are being subtracted from the terms in the first
(10x-x)+(y-10y)=36
9x-9y=36
Dividing both sides by 9 gives
x-y=4
The difference between the numbers is 4.
please help what is 4/8 divided by 4/20
Answer:
The correct answer is 2 and 1/2 or 5/2
Draw the line of reflection that reflects ABC onto AA'B'C'.
y
7
Pro
6-
5-
Ted
4
B'3
B
2
N
+
-7 -6
-5 -4 -3 -2
2 3
5
6
7
СТ
-2
C
-3-
Do 4 problems OOOO
Answer:
Line of reflection → x = 1
Step-by-step explanation:
Coordinates of B → (3, 2)
Coordinates of B' → (-1, 2)
If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.
Coordinates of the midpoint of the segment joining B and B'
= [tex](\frac{x_+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{3-1}{2},\frac{2+2}{2})[/tex]
= (1, 2)
Line of reflection will pass through this midpoint (1, 2)
Therefore, equation of the line of reflection will be,
x = 1
3. A pharmacist needs a blend of chemical containing 35% of manganese but she has one vial
at 40% and another at 25%. How many of each must be mixed to provide 100 pounds of
35% manganese?
Find the value of x
Answer:
x=13
Step-by-step explanation:
Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.
7x+23=114
Subtract 23 from both sides.
7x=91
Divide both sides by 7.
x=13
3601-589= What strategy did you use?
Answer:
3601
-589
———-
To
359(11)
-589
———-
3012
Step-by-step explanation:
14. circunferencia = 7.3 m (calcular
el radio ) *
Answer:
radius =1.1618m
Step-by-step explanation:
circumference of circle =7.3m
2πr=7.3
r=7.3/(2π)=1.1618m
Find the perimeter of the figure.
Answer:
Well I’m not sure what you want but I’ll give you both,
The perimeter is 25 units
The area is 28.5 units ^2
Step-by-step explanation:
Well to find perimeter just count every unit which is what I did and got 25 units.
To find the area jsut split them into two shapes and find the area for both.
Triangle formula: bh/2
Rectangle: Lw
Well we have 3 for base and 3 for height.
3*3=9
9/2=4.5
4.5 is the triangle
We got 3 for width and 8 for length
3*8=24
24 is the rectangle
Add them up
24+4.5= 28.5
28.5 units
Answer:
28.5?
Step-by-step explanation:
I did this a while ago in 5th grade
m
ABCDE ~ QRSTV
Find the missing side length, m.
S
C С
6
B В
D
R
T
8
8
12
A 8
E
12
V
m = [?]
12
Enter
please help fast :/ i’ll give you brainliest!!
Answer:
m=9Step-by-step explanation:
[tex]\frac{AB}{QR} =\frac{CD}{ST} \\\\\frac{8}{12}=\frac{6}{m} m=\frac{6*12}{8} \\\\m=9[/tex]
hope it helps...
Six trigonometric functions of -315.
Abby lives in a home worth $115,000. She has a mortgage of $98,000. She owes $5,200 on her
car that is worth $11,000. She has a credit card balance of $2,300. She also has a checking
account with a balance of $900 and $300 in gift cards. What is Abby's net worth?
Step-by-step explanation:
11500-98000 = 17000
11000-5200 = 5800
17000+5800 - 2300 + 900 + 300 = $21700
Answer: Abby's net worth would be around $21,400. $127,000 in assets, and around 105,000 in liabilities.
Step-by-step explanation: With the given information I added up the total and got around 127,000 in assets and 105,000 in liabilities, and when subtracted you will get Abby's net worth (answer), 21,400.
Hope This Helped, Have Great Day!
Please help me ASAP
Please help
Answer:
5 X 4
Step-by-step explanation:
If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.
Hope this helped!!
Hey please help i will mark you brainliest I need help honestly
I buy a 5 kg jar of sweets for £25. Then i divide the sweets into 125g packets and sell them for 99p each
Answer:
is that the whole question? it looks unfinished to me-
which subjects are required to study law and what levels of the subjects are needed
The ———— is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.
--Select-
Behavior Test
t Answ Polynomial Test
Odd Degree Test
Horizontal Line Test
Leading Coefficient Test
Dints] Distinct Zero Test
Even Degree Test
Vertical Line Test
AT10 3.2.001.
Answer:
I think it is the vertical line test. If you have any other questions let me know! :)
6p + 4 / 7 + 5p - 6 / 2 - 3p / 4 when p = 4
Step-by-step explanation:
Given p = 4,
substitute p= 4 into the expression
6p+4/7+5p-6/2-3p/4
[tex]6(4) + \frac{4}{7} + 5(4) - \frac{6}{2} - \frac{3(4)}{4} \\ = 24 + \frac{4}{7} + 20 - 3 - 3 \\ = 44 + \frac{4}{7} - 3 - 3 \\ = 38 + \frac{4}{7} \\ = 38 \frac{4}{7} [/tex]