Answer:
The answer to this question can be defined as follows:
In option a "0.0067".
In option b "0.1755".
In option c "0.5595".
Step-by-step explanation:
It is about the distribution of Poisson:
[tex]\lambda = 5 (rate)[/tex]
t = 1
The formula for calculating Mean:
[tex]\to \mu = \lambda \times t[/tex]
[tex]\to P(X=x) = \frac{e^{-\mu} \mu^{x}}{x!}[/tex]
calculate the value of Mean:
[tex]\to \mu =5 \times 1\\\\ \to \mu= 5[/tex]
In point a:
When the value of x is equal to 0:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{0}}{0!}[/tex]
[tex]= \frac{e^{-5} \times 1 }{0}\\\\ = 0.0067 \times 1 \\\\ = 0.0067[/tex]
In point b:
When the value of x is equal to 5:
[tex]\to P(X = 0) = \frac{e^{-5} 5^{5}}{5!}[/tex]
[tex]= \frac{e^{-5} \times 3125 }{120}\\\\ = \frac{0.0067 \times 3125}{120} \\\\ = \frac{21.0560}{120}\\\\ =0.1754 \\\\[/tex]
In point c:
When the value of x is equal to 5:
[tex]\to P(X \ge 5) = 1 - P(X < 5) \\\\ \to P(X \ge 5) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4) \\\\ \to P(X \ge 5) = 0.5595[/tex]
x is a normally distributed variable with mean μ = 17 and standard deviation σ = 3 find:
a) P(x >21)
b) P(x < 15)
c) P(16 < x < 25)
Answer:
a)0.09176
b)0.22065
c)0.62551
Step-by-step explanation:
a) p(x>21) = p(z> (21-17)/3)=p(z>1.333) = 1-.90824= 0.09176 (subtracting from one because we are looking at the right side of the graph from the Z-table)
b)p(x<15) = p(z< (15-17)/3)=p(z<-.6667) = 0.22065
c)p(16 < x < 25)= (z(16-17)/3 < p < z(25-17)/3)= z(-.333) < p < z(2.667)=.99621 -.37070 = 0.62551
-2x+3-(5-6x) simplify please
Answer:
4x-2
Step-by-step explanation:
First, distribute the minus sign.
-2x+3-(5-6x)
-2x+3+ -1(5)+ -1(-6x)
-2x+3+ (-5) + (6x)
-2x+3-5+6x
Next, combine like terms.
-2x+3-5+6x
(-2x+6x)+(3-5)
4x+(-2)
4x-2
Answer:
4x - 2
Step-by-step explanation:
-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )
-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)
4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)
4x -2( After that subtract 3-5 ad the answer is -2)
THE FINAL ANSWER BECOMES 4x - 2
HOPE IT HELPED
-5(5 – 2x) = -95
show work and all steps please
Answer:
x = -7
Step-by-step explanation:
See the photo attached.
Solve the inequality. 6x + 14 > 20
???????
Answer:
x > 1
Step-by-step explanation:
6x + 14 > 20
-14 -14
6x > 6
/6 /6
x>1
Consigna:
Resuelve el siguiente problema:
Para comprar un juego de mesa para divertirnos en familia durante la pandemia. yo aporté un quinto (6)
del total del precio, mi hermana María aportó la sexta parte (') y mi papá aporto el resto que faltaba.
¿Qué parte del costo del del juego aportó mi papá? Si pagamos el total de $90, ¿Cuánto dinero puso
cada uno?
DATOS
GRÁFICOS O DIBUJOS OPERACIONES
RESULTADOS
Answer:
El padre pago el 63% del valor del juego, es decir, $57.
Step-by-step explanation:
Si el valor total del juego es de $90, y el redactor aportó una quinta parte del total del precio, el total aportado por él es de $18 (90 / 5 = 18). A su vez, su hermana María aportó una sexta parte del valor, es decir $15 (90 / 6 = 15). Por ende, el padre de los niños aportó $57 (90 - 18 - 15 = 57), es decir, el 63% del valor total.
3. Casey wants to do some baking. She has 6 cups of flour. One of the recipes she wants
to make calls for 3 cups of flour. Another recipe calls for cup of flour. The final recipe
calls for 2 cups of flour.
Will Casey have enough flour to make all three recipes? If so, wills she have any left
over? How much?
Step-by-step explanation:
assuming cup of flower means 1 cup of flower
3+2+1=6
She has enough to make the three recipes and she has nothing left over
6.204 = 6 + 0.2+ ? What is it?
Answer:
0.004
Step-by-step explanation:
6.204 = 6 + 0.2 + 0.044.
The answer is 0.004.
Multiply. 1/4 x 2/5 Express your answer in simplest form. 1/3 1/10 2/9 3/20
Answer: 1/10
Step-by-step explanation:
1/10 which means that 2/9 Was the wrong answer
The table shows the number of pounds a dog lost or gained over the past month. A 2-column table with 4 rows. Column 1 is labeled Week with entries 1, 2, 3, 4. Column 2 is labeled pounds with entries 2 and one-half, negative 1, 1, negative 3 and one-half In which week did the dog have the greatest weight change? Week 1 Week 2 Week 3 Week 4
Answer:
column 2
Step-by-step explanation:
Answer:
week 4 so D
Step-by-step explanation:
31-X + (2 x + 1)] = x - 1.
X =
Answer:
answer is X= 2/1 ×5+2 ok
Two jugs and 4 bottles hold 40 ounces. One jug and 3 bottles hold 25 ounces. How many ounces does 1 jug hold?
Answer:
5 ounces
Step-by-step explanation:
Let the capacity of jug be j, bottle be b
[tex]2j + 4b = 40 \\ j + 3b = 25 \\ j = 25 - 3b \\ \\ therefore \: 50 - 6b + 4b = 40 \\ 2b = 10 \\ b = 5[/tex]
Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?
Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given 5 numbers with a mean of 12, then
[tex]\frac{sum}{5}[/tex] = 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
[tex]\frac{60-x}{4}[/tex] = 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
what is does p equal if 8-p = -12 -3p
Answer:
8-p=-12-3p
8+12-p = -3p
20 = -3p + p
20 = -2p
20/-2 = p
-10 = p
ans. p = -10
...
simplify: 6 + √27 / 3
Answer:
6 + √27 / 3
6+ (3√3/3)
6+√3
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
So, the first step if simplifying the square root. Since 27/3 is equal to 9, you now have to take the square root of 9.
6+[tex]\sqrt{27/3}[/tex]=?
Since 27/3 is equal to 9, you now have to take the square root of 9.
6+[tex]\sqrt{9}[/tex]=?
The square root of 9 is 3.
So, you end up with this:
6+3=12
A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?
18.20 acres
Step-by-step explanation:28×65% =
= 28×65/100
= 1820/100
= 18.20 acres
5.1436 rounded to the nearest tenth
Answer:
5.1
Step-by-step explanation:
we have
5.1436
since 4 is less than five we cannot pass the 1 to 2
so it stays like
5.1
You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.
Answer:
24 m
Step-by-step explanation:
The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.
The lenght of the triangular garden = 16 - 10 = 6 m
Lenght of the height = 8 - 0 = 8 m
Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.
Coordinates of the two vertices = (10, 0) and (16, 8).
[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (10, 0) = (x_1, y_1) [/tex]
[tex] (16, 8) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]
[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Length of fencing = 6 + 8 + 10 = 24 m
The sum of the measures of the angles of a triangle is 180. The sum of the measure of the second and third angle is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and ,z represent the measures of the first second and third angles
Answer:
x = 30 degrees
y = 67 degrees
z = 83 degrees
Step-by-step explanation:
Since x, y , and z are the angle measure for the first, second and third angle respectively, we can write the following equations following the statements given:
The sum of the measures of the angles of a triangle is 180:
(1) x + y + z = 180
The sum of the measure of the second and third angle is five times the measure of the first angle:
(2) y + z = 5 x
The third angle is 16 more than the second:
(3) z = y + 16
Now we solve the system of three equations. We use the third equation to replace z in the second one:
y + (y + 16) = 5 x
then : 2 y = 5 x - 16; then y = 2.5 x - 8
So , now we can replace this expression for y in the third equation:
z = (2.5 x - 8) +16 = 2.5 x + 8
and finally we made the replacements of y and z shown above in bold, in the first equation:
x + (2.5 x - 8) + (2.5 x + 8) = 180
x + 5 x = 180
6 x = 180
then x = 180/6 = 30 degrees
From this, we get the value of the other angles:
y = 2.5 (30) - 8 = 67 degrees
z = 2.5 (30) +8 = 83 degrees
Zach bought 200 shares of Goshen stock 20 years ago for $21.35 per share. He sold all 200
shares today for $43 per share.
a. What was the total purchase price for the 200 shares?
b. What was the total selling price for the 200 shares?
C. What was the capital gain for the 200 shares?
Answer:
4,330
Step-by-step explanation:
Multiply 21.35 times 200 and you get 4,270, then multiply 200 times 43 and you will get 8,600. then subtract and you will get 4,330
The answers are :
a) The total purchase price for the 200 shares was $4270.
b) The total selling price for the 200 shares was $8600.
c) The capital gain for the 200 shares was $4330.
What is the unitary method ?
The unitary method is a method in which you find the value of one unit and then the value of a required no. of units.
It is given that 20 years ago Zach bought 200 shares.
Price of 1 share = $21.35
a)
The total purchase price for the 200 shares was :
= 200 × $21.35
= $4270
b)
It is given that Zach sold 200 shares today.
Price of 1 share = $43
The total selling price for the 200 shares was :
= 200 × $43
= $8600
c)
The capital gain for the 200 shares was :
= $8600 - $4270
= $4330
Therefore , the answers are :
a) The total purchase price for the 200 shares was $4270.
b) The total selling price for the 200 shares was $8600.
c) The capital gain for the 200 shares was $4330.
Learn more about unitary methods here :
https://brainly.com/question/8083231
#SPJ1
Match each situation to the simulation that represents it.
Answer: rolling aa six sided die- fiona is deciding which forest
selecting a playing card- Athena has to select 1 student
spinning a spinner - Jenny isa picking a marble
Step-by-step explanation:
Answer:
Fiona- Rolling A Six-Sided Die.
Althea- Selecting A Playing Card From
The Hearts Suit.
Jenny-Spinning A Spinner Divided Into
Five Equal Sections
if f(x)=2x-1, what does f(10) equal
Answer:
f(10) = 19Step-by-step explanation:
f(x) = 2x - 1
To find f(10) substitute the value of x that's 10 into f(x). That is for every x in f (x) replace it with 10
We have
f(10) = 2(10) - 1
= 20 - 1
We have the final answer as
f(10) = 19Hope this helps you
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x^2 + y^2 = 9
Answer:
The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Step-by-step explanation:
Given that,
The equation of cylinder is
[tex]x^2+y^2=9[/tex]
The part of the surface z = xy
The coordinates is,
[tex]z_{x}=y[/tex]
[tex]z_{y}=x[/tex]
We need to calculate the value of ds
Using formula of ds
[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]
Put the value in to the formula
[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)
We know that.
The polar coordinates,
[tex]x=r\cos\theta[/tex]
[tex]y=r\sin\theta[/tex]
The general equation of cylinder is
[tex]x^2+y^2=r^2[/tex]
compare from given equation
[tex]x^2+y^2=3^2[/tex]
0<=θ<=2π, 0<=r<=3
Area element in polar coordinates is,
[tex]dA=r dr d\theta[/tex]
Put the value of dA in equation (I)
[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)
We need to calculate the area of surface
Using equation (II)
[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]
[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]
[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]
[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
The mean and standard deviation of a normal distribution are 150 and 12
respectively. What percentage of values lie between:
a) 138 and 162
b) 126 and 174
c) 126 and 162
d) 162 and 174
a) (150 - 138) / 12 = 1 deviation or 34%
(162 - 150) / 12 = 1 deviation or 34%
34% + 34% = 68%
b) (150 - 126) / 12 = 2 deviations or 47.5%
(174 - 150) / 12 = 2 deviations or 47.5%
47.5% + 47.5% =95%
c) (150 - 126) / 12 = 2 deviations or 47.5%
(162 - 150) / 12 = 1 deviation or 34%
47.5% + 34% = 81.5%
d) (162 - 150) / 12 = 1 deviation or 34%
(174 - 150) / 12 = 2 deviations or 47.5%
This problem is a little different. We have to subtract 34% from 47.5%
47.5% - 34% = 13.5%
Can you solve (x-2)(x+3)=5 by solving x-2=5 and x+3=5? Explain
Will MARK BRAINLIEST
Answer:
Yes you can.
Step-by-step explanation:
You can because you can just subsitute x-2=5 and x+3=5 into the equation.
Answer:
x=3±/5
Step-by-step explanation:
i don't actually know how to do certain symbols sorry but i hope you know what this means
When 3.9 is added to 6 times a number, the result is 57.3. Find the number
Answer: 8.9
Step-by-step explanation:
Let x = the number you are finding
SOLVE:
3.9+6x=57.3 ⇔ Given
6x=53.4 ⇔ subtract 3.9 on both sides
x=8.9 ⇔ Divide 6 on both sides
ANSWER:
The number is 8.9
How much is X? NEED HELP RIGHT NOW 20 POINTS!!!
I don’t get thiss so can someone help me
Step-by-step explanation:
use algabraic expreshens it will help trust me
Solve the system using elimination.
7x + 10y = 27
X-10y = -19
The solution is
(Simplify your answer. Type an ordered pair.)
The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
6+3.245
Find the sum
Answer:
9.245
Step-by-step explanation:
6 + 3.245 = 9.245
Answer: 9.245
have a nice day:) ;)
What is answer 2x+8= -4
Answer:
x=-6
Step-by-step explanation:
2x=-4-8
2x=-12
2x/2=-12/2
x=-6
Answer:
x = - 6
Step-by-step explanation:
2x+8 = 4
Subtract 8 from both sides:
2x+8-8 = - 4 - 8
Simplify :
2x = -12
Divide both sides by 2 :
2x/2 = -12/2
Simplify :
-12/2 : -6
x = -6
Hope it Helps :) !!