Answer:
it's equal to 21 when I say it's equal to 21
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
cho tứ giác lồi ABCD và điểm S không thuộc mặt phẳng(ABCD). có bao nhiêu mặt phẳng qua S và hai trong số bốn điểmA B C D
Step-by-step explanation:
Có 7 mặt phẳng
5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)
Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ
3
5
6) through: (-3, -3), perp. to y=-**-4
5
A) y = 2x + B) y=--x+ 2
*
3
C) y=-x+2 D) y=-x+ 2
5
3
Step-by-step explanation:
answer in the image above
I need to find the value of x?
Answer:
x=20
Step-by-step explanation:
120=6x
120/6=6x/6
20=x
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
27.5 miles per gallon
1 full tank = 15.45 gallons
27.5 x 15.45 = 424.875 miles
rounded to the nearest 100th: 424.88 miles
nearest 10th: 424.9 miles
nearest whole #: 425 miles
how much greater is the volume of the refrigerator than the volume of the top part
Answer:
volume quantity is hjaj
Find the mean birth weight of these 29 babies
Answer:
The mean is 6.14
Step-by-step explanation:
Given
See attachment
Required
The mean
Mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]
[tex]\bar x = \frac{178}{29}[/tex]
[tex]\bar x = 6.14[/tex]
Use the following formula for compound interest. If P dollars is invested at an annual interest rate r (expressed as a decimal) compounded n times yearly, the amount A after t years is given by
A= P(1+ r/n)^nt
Required:
What rate of interest is required so that $1000 will yield $1900 after 5 years if the interest rate is compounded monthly?
Answer:
12.906%/year
Step-by-step explanation:
Given data
Principal= $1000
Final Amount= $1900
Time= 5 years
The compound interest formula is given as
A= P(1+ r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)1/nt - 1]
r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]
r = 0.12906
Then convert r to R as a percentage
R = r * 100
R = 0.12906 * 100
R = 12.906%/year
if y=8, evaluate the following expression: 40-5y
Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k
Answer:
The value of k is 14.
Step-by-step explanation:
(x - 2) is a factor of the polynomial
[tex]x - 2 = 0 \rightarrow x = 2[/tex]
This means that [tex]p(2) = 0[/tex]
p(x) = 2x² + 3x - k
[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]
[tex]0 = 8 + 6 - k[/tex]
[tex]14 - k = 0[/tex]
[tex]k = 14[/tex]
The value of k is 14.
David has available 240 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?
Answer:
Below in bold.
Step-by-step explanation:
Perimeter = 2*width + 2*length
So
240 = 2w + 2l
120 = w + l
l = 120 - w
(a) Area = w*l
Substituting for l:
A = w(120 - w)
A = 120w - w^2
(b)
Finding the derivative:
A = 120w - w^2
A' = 120 - 2w
For a maximum area A' = 0, so:
120 - 2w = 0
2w = 120
w = 60 yards for maximum area.
(c)
Maximum area
= 120*60 - 60^2
= 3600 yd^2.
i need help plz help me
Answer:
a+2b
Step-by-step explanation:
2(a+2b)-a-2b
2a+4b-a-2b
=a+2b
Answer:
Step-by-step explana:2 ( a+ 2b) - a- 2b
=2a + 4b - a - 2b= a + 2b
Find the selling price of a $32 item after a 50% markup.
The selling price is $
Answer:
The seelijg price is $48.
Step-by-step explanation:
Markup is the amount a store adds to its cost of an item to come up with the selling price.
store cost + markup = selling price
If the markup on an item is 50%, then the store adds 50% of its cost to its cost to arrive at the selling price.
$32 + 50% of $32 =
= $32 + 0.5 * $32
= $32 + $16
= $48
Answer:
50% of 32 is 16 so it it 16$
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 =)
Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.
Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x
Just did this the other day...
The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,
Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).
Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].
Factor the denominator: 8x(x² - x - 5).
Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].
Further simplify the numerator: 3x² - 19x + 25.
Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].
To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:
Find a common denominator for the two fractions.
The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator.
(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)
Combine the fractions by subtracting them.
= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]
Factor the denominator of the resulting expression (if possible).
The denominator 8x(x² - x - 5) is already factored.
Simplify the expression, if possible.
= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]
Combine like terms in the numerator.
= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]
Simplify the numerator further.
= 3x² - 19x + 25 / [8x(x² - x - 5)]
Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].
learn more about expression here
brainly.com/question/34132400
#SPJ2
the fraction 6/10 is equivalent to which of the following? 12/24 or 24/40 or 3/6 or 16/20
Answer:
24/40
Step-by-step explanation:
You can multiply both the numerator and denominator by any number
Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.
Now since we know how to do it I'll just do the math for the rest.
Option 1:
6/10
6*2/10*2
12/20 and that doesn't match so it's wrong.
Option 2:
6/10
6*4/10*4
=
24/40
It matches so it's correct let's try option 4 just to check.
Option 4:
6/10
6*2/10*2
12/20
that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)
Answer: 24/40
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
If f(x) = x2 – 2x, find:
f(-3) = [?]
9514 1404 393
Answer:
15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
f(-3) = (-3)² -2(-3) = 9 +6
f(-3) = 15
15
Step-by-step explanation:
f(-3)=(-3)^2 - 2(-3)
= 9 + 6 = 15
The difference between two numbers is 7194. If the subtrahend is 12,806, find the minuend.
Answer: The minuend is 20000
Step-by-step explanation:
To calculate the minuend, we use the equation:
[tex]\text{Subtrahend}=\text{Minuend-Difference}[/tex]
We are given:
Difference between the two numbers = 7194
Subtraend = 12806
Putting values in above equation, we get:
[tex]\text{Minuend}=12806+7194\\\\\text{Minuend}=20000[/tex]
Hence, the minuend is 20000
Question 20
A transformer has 500 turns in its primary coil and 200 in the secondary coil.
a) If an AC voltage of 220 V and frequency 50 Hz is established in the primary coil, find the voltage
and the frequency induced in the secondary coil. (2)
9514 1404 393
Answer:
88 V50 HzStep-by-step explanation:
The secondary voltage is proportional to the primary voltage. The constant of proportionality is the ratio of secondary turns to primary turns.
The secondary voltage is ...
(200/500)(220 V) = 88 V
__
A transformer does not change the frequency.* The voltage in the secondary coil is still 50 Hz.
_____
* Most transformers are designed to operate as linear devices. It is possible to design a transformer (with special core material) that operates non-linearly, and/or that is "tuned" to a frequency other than the one exciting the primary. That is, the secondary voltage may be some harmonic of the primary voltage. This would be a relatively unusual application of a transformer, beyond the apparent scope of the question here.
In grade 6, there are 40 students. There are 8 girls, find the percentage of the boys?
Answer:
[tex]40 - 8 = 32 \\ \frac{32}{40} \times 100 \\ = 80\%[/tex]
how do i simplify 81^5 = 3x
Step-by-step explanation:
81/5=3x
x=81×1/5×3
x=81/15
20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.
Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.
Answer:
The answers for edge 2021 is
Step-by-step explanation:
16 and 10
A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?
Answer:
h≈2.65cm
r Radius
3
cm
V Volume
75
cm³
Using the formula
V=πr2h
Solving forh
h=V
πr2=75
π·32≈2.65258cm
hope it's help ful
4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each
Answer:
p=2
q=9
Step-by-step explanation:
4p+5q=53
6p+5q =57
A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)
Answer:
[tex]V=6912ft^3[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]D=40ft[/tex]
Radius [tex]r=d/2=>20ft[/tex]
Depth at south [tex]d_s=3ft[/tex]
Depth at north [tex]d_n=8ft[/tex]
Average depth of the pool
[tex]d_a=\frac{3+8}{2}[/tex]
[tex]d_a=5.5ft[/tex]
Generally the equation for Volume is mathematically given by
[tex]V=\pi r^2h[/tex]
[tex]V=3.142*(20)^25.5[/tex]
[tex]V=6912ft^3[/tex]
Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form
Answer:
Step-by-step explanation:
please help. question in picture
Answer:
Step-by-step explanation:
Question
At a certain university, intramural volleyball is chosen as an activity by 50% of the student population. How likely is it that a
randomly chosen student will or will not participate in intramural volleyball?
Answer:
50%
Step-by-step explanation:
50% of the student population chooses instramural volleyball, meaning 50% doesn't. So if a random student is chosen, then it is a 50% chance that they will choose volleyball and 50% chance they won't.
A checker board is a square board that is divided into smaller squares, with eight squares along each side. Describe how to find the number of small squares on a checker board without counting.
