Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
How do you do this? Bearings. Please help
Answer:
Hi !
You need to use the "cosine rule" :
d² = 24² + 32² - (2 x 24 x 32)cos125°
So == > d² = 1600 - 1536cos125°
Then ==> d² = 2481.013406
Conclusion == > d = 49.8 nautical miles
The distance between the ships after 2 hours is 49.8 nautical miles
; )
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
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solve with ans : the compound interest of a sum of money in 1 years and 2 years are Rs 450 and Rs 945 respectively. find the rate of interest compounded yearly and the sum .
Answer:
The rate of interest compounded yearly =10%The sum compounded is Rs4,500Step-by-step explanation:
Compound Interest Formula, Amount, [tex]A(n)=P(1+r)^n[/tex]
Interest=Amount - Principal
[tex]I=P(1+r)^n-P[/tex]
At the end of 1 year, interest =Rs450, therefore:
[tex]450=P(1+r)-P\\450=P+Pr-P\\450=Pr[/tex]
At the end of 2 years, interest =Rs945, therefore:
[tex]945=P(1+r)^2-P\\945=P(1+r)(1+r)-P\\945=P(1+r+r+r^2)-P\\945=P(1+2r+r^2)-P\\945=P+2Pr+Pr^2-P\\945=2Pr+Pr^2[/tex]
Recall: Pr=450
Therefore:
[tex]945=2(450)+Pr^2\\945-900=Pr^2\\Pr^2=45[/tex]
Comparing Pr=450 and [tex]Pr^2=45[/tex]
[tex]\dfrac{Pr^2}{Pr}= \dfrac{45}{450}\\r=0.1[/tex]
Substitute r=0.1 to obtain P
0.1P=450
P=Rs4500
Therefore:
The rate of interest compounded yearly =0.1=10%The sum compounded is Rs4,500help i will give brainliest
Answer:
see below
Step-by-step explanation:
Formula: Center Not at Origin:
New point = k( x-a) +a, k( y-b) +b where k is the scale factor and ( a,b) is center of dilation
New point = -2( x-4) +4, k( y-6) +6
The scale factor is k = -2
Taking the top point ( 1,9)
New point = -2( 1-4) +4, -2( 9-6) +6
= -2(-3) +4 , -2(3) +6
6+4, -6+6
10,0
Taking the bottom left point ( 1,7)
New point = -2( 1-4) +4, -2( 7-6) +6
= -2(-3) +4 , -2(1) +6
6+4, -2+6
10,4
Taking the bottom right point ( 2,7)
New point = -2( 2-4) +4, -2( 7-6) +6
= -2(-2) +4 , -2(1) +6
4+4, -2+6
8,4
Find the values of a and b such that x^2-x+5=(x-a)^2+b
Answer:
a = 0.5 or 1/2
b = 19/4 or 4.75
Step-by-step explanation:
Step 1: Isolate x's
x² - x = -5
Step 2: Complete the Square
x² - x + 1/4 = -5 + 1/4
(x - 1/2)² = -19/4
Step 3: Move everything to one side
(x - 0.5)² + 4.75
Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5
Answer: b, c, and e
Step-by-step explanation:
I hope I helped
The standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the image attached at the end of answer.
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 2)/(- 4 + 10)
m = - 1/6
The standard form of the equation of straight line is given by -
y - y₂ = m(x - x₂)
y - 1 = -1/6(x + 4)
Therefore, the standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
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[Refer to the image attached for complete question]
the
square
(5x² + 6xy)²
is
Answer:
[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]
Step-by-step explanation:
[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]
Gives the above answer
Answer:
in the picture
Step-by-step explanation:
Izzy gets a loan of $2,800 with an APR of 3.5%. She will repay the loan in monthly payments for 9 months. To find the total amount of interest she will pay, Izzy uses an online calculator. What are the correct numbers she should enter?
Answer: Hold on
Step-by-step explanation: LEt me see this is tricky
Answer: P= 2,800, r= 0.035, n= 12, t= 0.75
Step-by-step explanation:
I guessed and got it right!
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom? THIS IS A RATIO!
Answer:
4:7
Step-by-step explanation:
The number of students in the class is:
boys + girls
12 + 16 = 28
There are 28 students.
The ratio of girls to students is:
16:28
Simplify the ratio.
4:7
Answer:
4:7
Step-by-step explanation:
I got it right on the test
linear equations: c+2c+12=75
Answer:
c = 21
Step-by-step explanation:
c + 2c + 12 = 75
Combine like terms.
3c + 12 = 75
Subtract 12 from both sides.
3c = 63
Divide 3 on both sides.
c = 21
the focal length F of a lens made by combining two lenses of focal length U and V is given I/F=I/U+I/V
A.make V the subject of the formula.
B.find V when F=6,U=10
Answer:
a). [tex]V=\frac{U.F}{U-F}[/tex]
b). V = 15 units
Step-by-step explanation:
Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,
[tex]\frac{1}{F}=\frac{1}{U}+\frac{1}{V}[/tex]
A). By solving the given formula,
[tex]\frac{1}{V}=\frac{1}{F}-\frac{1}{U}[/tex]
[tex]\frac{1}{V}=\frac{U-F}{U.F}[/tex]
[tex]V=\frac{U.F}{U-F}[/tex]
B). If F = 6 and U = 10 then we have to find the value of V.
By substituting the given values in the formula,
[tex]V=\frac{6\times 10}{10-6}[/tex]
[tex]V=\frac{60}{4}[/tex]
V = 15 units
Therefore, focal length (V) of the lens = 15 units
Simplify the radical /81d^6.
O 9d2
81d3
O 9d3
O 906
Answer:
The answer is option C.
Step-by-step explanation:
[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]
Hope this helps you
Answer:c
Step-by-step explanation:
expanding brackets (x + 3)(x + 10)
Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
=x²+13x+30 is the answer
Step-by-step explanation:
=(x+3)(x+10)
opening the brackets by multiplying
=x(x+10)+3(x+10)
=x²+10x+3x+30
=x²+13x+30
i hope this will help you :)
Some one help me understand
Answer:
Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:
2x + 31 = 7x - 24
-5x = -55
x = 11°.
between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
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PLEASEEE HELPPP IT DUE TODAYYY
Answer:
All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.
BRAINLIEST PLEASE HELP!!!!
Answer:
A. 2x + (-x + 2) = -1
Step-by-step explanation:
Well if we use x + y = 2 as the substitute we need to solve for y.
x + y = 2
-x to both sides
y = -x + 2
Substitute
2x + (-x + 2) = -1
Thus,
the answer is A. 2x + (-x + 2) = -1.
Hope this helps :)
Which type of transformation is shown? The transformation is a
factor y=2x^2+10x+12
Answer:
y=2(x+2)(x+3)
Step-by-step explanation:
First, we need to factor the right side:
y=2(x^2+5x+6)
Now, we can have an incomplete equation like this:
y=2(x+_)(x+_)
In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!
So, our factored form is
y=2(x+2)(x+3)
Please help me :))))
Answer:
12617.13
Step-by-step explanation:
250(1+0.103)^40= 12617.13
hope it help
Answer:
12617.13
Step-by-step explanation:
Calculate the volume of the following object:
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer:
5*5*5=125
volume of cylinder=137.44
137.44+125=262.44
Step-by-step explanation:
What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13
Answer:
sin = 12/13 and tan = 12/5
The value of sin α will be 12/13 and tan α will be 12/5 for the given triangle such that cosα= 5/13.
What is a trigonometric function?Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.
We know that
sin²α + cos²α =1 ⇒ sin²α = 1 - cos²α
Given that cosα = 5/13 so by putting it
sin²α = 1 - (5/13)²
sin²α = 144/169 ⇒ sinα = 12/13.
Now since tanα = sinα /cosα
tanα = (12/13) ÷ ( 5/13)
tanα = 12/5.
Hence the value of sinα will be 12/13 and tanα will be 12/5.
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helpp help meeee plsss pls
Answer: w might be 9
Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.
Answer:
9solution,
The two polygons are same.
[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]
[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]
Hope this helps...
Good luck on your assignment..
What's is the midpoint of a line segment with endpoints at (0,-8) and (-8,0)?
Answer:
The mod-point is (-4,-4)
Step-by-step explanation:
By using mid-point formula
M(x,y)=(x1+x2)/2 ,(y1+y2)/2
putting the values of the coordinates
M(x,y)=(0+-8)/2 ,(-8+0)/2
M(x,y)=-8/2 , -8/2
M(x,y)=(-4,-4)
So the mid-point is (-4.-4)
I hope this will help you :)
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 11 percent, has a YTM of 9 percent, and has 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 9 percent, has a YTM of 11 percent, and also has 15 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today?
Answer:
Price of Bond X : $1,162.89
Price of bond Y : $854.66
Step-by-step explanation:
Given the following information :
Bond X :
Face value = $1000
Yield to maturity (YTM) / market interest rate = 9%
Coupon rate = 11%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.
For Bond Y:
Face value = $1000
Yield to maturity (YTM) / market interest rate = 11%
Coupon rate = 9%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.
The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.
Answer:
(C)221.5 miles
Step-by-step explanation:
Given a triangle with two sides a and b and an included(an angle between the two given sides) angle [tex]\theta,[/tex]
Area of the Triangle [tex]=\dfrac12 ab\sin \theta[/tex]
[tex]a=32$ miles\\b=23 miles\\\theta =37^\circ[/tex]
Therefore, The area of the portion that will not be farmed
[tex]=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5$ square miles[/tex]
The correct option is C.
Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the end of 35 years Payments are made at the end of each period The paym ent size is $ (Round to the nearest cent.)
Answer:
$8,355.555
Step-by-step explanation:
Hello,
This question relates to compound interest and to solve it, we'll need to use the right formula.
C.P = P(1 + r/n)^nt
C.P = compound interest
P = principal
R = rate
N = number of times compounded
T = time
C.P = $47,000
P = ?
R = 5% = 0.05
N = 4
T = 35 years
Substituting the variables into the equation,
47,000 = P (1 + 0.05 / 4) ^ (4 × 35)
47,000 = P (1.0125) ^ 140
47,000 = P × 5.625
Divide both sides by 5.625 and solve for P
P = 47,000 / 5.625
P = $8,355.555
The initial investment was $8,355.555
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
solve for x. 5x=15+5
Answer: x=4
Step-by-step explanation:
5x=15+5
15+5=20
5x=20
divide 5 on both sides
20/5=4
x=4
Answer:
x=4
Step-by-step explanation:
5x=15+5 add
5x=20 divide
x=4 simplify