Answer: $98,835.
Step-by-step explanation:
Given: Annual profit at a chain of stores is normally distributed with a mean ([tex]\mu[/tex]) of $61,000 and a standard deviation([tex]\sigma[/tex]) of $23,000.
Let [tex]x[/tex] denoted the profit.
Let [tex]x_0[/tex] be the minimum profit required to have a party.
The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.
i.e. [tex]P(x>x_0)=0.05[/tex]
[tex]\Rightarrow\ P(\dfrac{x-\mu}{\sigma}>\dfrac{x_0-61000}{23000})=0.05\\\\\Rightarrow\ P(z>\dfrac{x_0-61000}{23000})=0.05\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\\Rightarrow\ \dfrac{x_0-61000}{23000}=1.645\ \ [\text{critical z-value for p-value 0.05=1.645}]\\\\\Rightarrow\ x_0-61000 =1.645\times 23000\\\\\Rightarrow\ x_0-61000 =37835\\\\\Rightarrow\ x_0=37835+61000\\\\\Rightarrow\ x_0=98835[/tex]
Hence, the annual profit required to have a party was $98,835.
If Kim owns 5 shares of stock and receives $12 per year how many shares of stock will she need to receive $24
Answer:
10
Step-by-step explanation:
one possible way to do this is to simply observe that 12*2 =24, so 5 shares must also be multiplied by 2
another way is to set up a proportion, 5/12=x/24, cross multiply, 5*24=12x, solve for x, x=(5*24)/12=10
Subtract. What is the (9 x 10 to the power of 10) - (4 x 10 to the power of 10) in scientific notation?Subtract. What is the (9 x 10 to the power of 10) - (4 x 10 to the power of 10) in scientific notation?
Answer:
5*10^10
Step-by-step explanation:
10 to the power of 10 is 10^10.
10^10*9 is 90000000000
10^10*4 is 40000000000
90000000000-40000000000=50000000000
5*10^10
How many solutions does this equation have?
-9s + 9 = -8s
help
Answer:
1 solution.
Step-by-step explanation:
Step 1: Write equation
-9s + 9 = -8s
Step 2: Solve for s
Add 9s to both sides: 9 = sRewrite: s = 9Step 3: Check
Plug in s to verify it's a solution.
-9(9) + 9 = -8(9)
-81 + 9 = -72
-72 = -72
Answer:
one solution s=9
Step-by-step explanation:
-9s + 9 =-8s, add 9s on both sides
+9s +9s
-------------------
9=s
A triangle has side lengths of (1.2u+1.8v)(1.2u+1.8v) centimeters, (6.5u+8.7w)(6.5u+8.7w) centimeters, and (5.8w-6.9v)(5.8w−6.9v) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? 13.5uw+3.6vw13.5uw+3.6vw 7.7u+1.8w+7.6v7.7u+1.8w+7.6v -1.1vw+15.2uw+3uv−1.1vw+15.2uw+3uv 14.5w-5.1v+7.7u14.5w−5.1v+7.7u
Answer:
7.7u - 5.1v + 14.5w
Step-by-step explanation:
Given length:
Side A = (1.2u+1.8v) centimeters,
Side B = (6.5u+8.7w) centimeters
Side C = (5.8w-6.9v) centimeters
Perimeter of a triangle = side A + side B + side C
= (1.2u+1.8v) + (6.5u+8.7w) + (5.8w-6.9v)
= 1.2u + 1.8v + 6.5u + 8.7w + 5.8w - 6.9v
Collect like terms
= 1.2u + 6.5u + 1.8v - 6.9v + 8.7w + 5.8w
= 7.7u - 5.1v + 14.5w
Therefore, the perimeter of the triangle is 7.7u - 5.1v + 14.5w
Plz help due today!!!
Answer:
55 is c
Step-by-step explanation:
what number times 4 equals 20? ...5
so times 11 and 5 and you'll get 55
Answer:
c=55
20/4 is 5
11*5=55
This is algebra 1
Determine if (2,4) is a solution to this inequality: y < 2x + 2. Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
To check if (2,4) is a solution to the inequality, y<2x+2, substitute the values of x and y in the inequality and see if it holds good for those values
y=4, x=2
Let's see if 4<2*2+2 => 4<4+2 => 4<6
And the inequality is true. So, (2,4) is a solution to this inequality
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Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.
Help fast Does the equation below represent a relation, a
function, both a relation and a function, or neither a
relation nor a function?
Sy = 2 - 92
it's both a function and relation a function because it has independent variable and dependent variable and it's a relation because there is a relationship between the values
which elephants weight 2.85 tons when rounded to the nearest hundredth? Is it
tiny: 2.805 tons
Lizzy: 2.861 tons
Raja: 2.842 tons
fanny: 2.849 tons
Those are the 4 chooses and I am confused on it
The elephant that weigh 2.85 tons after rounding up is [tex](fanny: 2.849 tons)[/tex]
We are required to round to nearest hundredth so that the elephant could have a weight of 2.85 tons.First option [tex]:2.805 tons[/tex]if we round this up starting from right hand side, if we round the 5 up then it will become 1 then we have [tex]2.81 tons[/tex]Second option: 2.861 tonsIf we round up, then since 1 is not up to 5 so it becomes zero, then we have[tex]2.86 tons[/tex]Third option: 2.842 tons If we round up, then since 2 is not up to 5 so it becomes zero, then we have[tex]2.84 tons[/tex]Fourth option:2.849 tonsif we round 9 up, it will become 1, then we will add it to 4, then we have [tex]2.45 ton.[/tex]Therefore, Fourth option is correct.
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Add.
(2x2+4−x3)+(−4x2+6x3−2)
Express the answer in standard form.
Enter your answer in the box.
The simplified form of the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in standard form is -2x^3 + 2x^2 + 2.
What is an expression?
An expression is a mathematical phrase that can contain numbers, variables, and operators. It represents a value or a calculation, but it is not simplified to a single value.
To simplify the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in the standard form, we can combine like terms and apply the order of operations.
Step 1: Add and subtract the terms inside the first set of parentheses:
2x^2 + 4 - x^3 + (-4x^2 + 6x^3 - 2)
Step 2: Combine like terms:
-2x^3 + 2x^2 + 4 - 2
Step 3: Rearrange the terms in standard form, which is the form with the variable with the highest exponent first, and the numerical constant last:
-2x^3 + 2x^2 - 2 + 4
Step 4: Combine the constant terms:
-2x^3 + 2x^2 + 2
Hence, The simplified form of the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in standard form is -2x^3 + 2x^2 + 2.
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Write a program that will solve a quadratic equation: ax2 + bx + c = 0. The program must ask the user to enter the values for a, b and c. It should then determine the discriminant of the parabola and based on the discriminant it should display the real roots: Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots. Use the if - then else structure in your program to decide the outcome of the program. User must then use the quadratic equation to solve for x: = − ± √ −
Answer:
x= -b ±√b²- 4ac/2a
Step-by-step explanation:
ax2 + bx + c = 0
Dividing the quadratic equation by a gives
x2 + b/ax + c/a = 0
x2 + b/ax = - c/a
Applying the square formula
(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a
(x+b/2a)^2= b²/4a² - c/a
(x+b/2a)^2= b²/4a² - 4ac/4a²
(x+b/2a)^2= b²- 4ac/4a²
Taking square root of both sides gives
(x+b/2a)= ±√b²- 4ac/2a
x= -b/2a±√b²- 4ac/2a
x= -b ±√b²- 4ac/2a
This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.
From this it is concluded that
Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.
This is because a square root of a value greater than 0 is possible and gives two values for roots of x.
The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.
The square root of a value greater equal to 0 gives a zero leaving behind only one real root.
Help me pleasee... thank you sm in advance.
The _______________________ is a ray that divides an angle into 2 congruent angles.
Answer:
Angle bisector
Step-by-step explanation:
A bisector cuts a line into two even parts, therefore an angle bisector would split an angle into two congruent angles, each that have exactly half the measure of the original angle.
Which points on the number line represent the quotients of these expressions? 12 divided by -6 and -15 divided by -3
Answer:
2,5
Step-by-step explanation:
basta isipin mo BWHAHAHAHAHHA balakadan
Answer:
Step-by-step explanation:
12 ÷(-6) = -2
-15÷(-3) = 5
Please help!
575 mL = __ L
0.987 m = __ mm
24 kg = __ g
1,350 cm = __ m
Answer:
575mL= 0.575 Liters
0.987 Meters = 987 Millimeters
24 Kilograms = 24000 Grams
1,350 cm = 13.5m
round to the nearest whole number 2.09
Answer:
the answer is 2
Step-by-step explanation:
this is because when you round 2.09 to the nearest whole number it is 2
Alfred and his 4 friends bought 13 1/4
pounds of gummy bears at 1.20 a pound. What is the total cost of the gummy bear?
Answer:
$15.90
Step-by-step explanation:
$1.20 x .25 is the cost of 1/4 pound = $ 0.30
13 lbs × 1.20 = $15.60
15.6 + .3=15.9
Triangle EFG has vertices E(-3,1), F(1,1), and G (4,5). Find the coordinates of the image of point F after a reflection across the x-axis.
Answer:
(1,-1)
Step-by-step explanation:
the coordinates of the image of point F after a reflection across the x-axis is (1,-1).
What is reflection?In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.
Here, given that,
Triangle EFG has vertices E(-3,1), F(1,1), and G (4,5).
We have to find the coordinates of the image of point F after a reflection across the x-axis.
Now, we know that,
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Hence, the coordinates of the image of point F after a reflection across the x-axis is (1,-1).
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Ainsley walks 3/5 mile in 1/3 of a day. Sarah walks 5/8 mile in 2/6 of a day. Who walked farther, Ainsley or Sarah? Find the unit rate for each girl and then tell who you think walked farther with the correct unit rate given below. *
[tex]Ainsley \: walked \: in \: \frac{1}{3} \: \: of \: a \: day \ \: = \frac{3}{5} mile[/tex]
[tex] = \frac{1}{3} \times 24 = \frac{3}{5} [/tex]
[tex]8 \: hours = \frac{3}{5} \: miles[/tex]
[tex]Sarah \: walked \: in \: \frac{2}{6} of \: a \: day \: = \frac{5}{8} miles[/tex]
[tex] \frac{2}{6} \times 24 = \frac{5}{8} [/tex]
[tex]8 \: hours \: = \frac{5}{8} \: miles[/tex]
Let us see who walked more :
[tex]Ainsley \: walked \: = \frac{3 \times 8}{40} [/tex]
[tex] = \frac{24}{40} \: miles[/tex]
[tex]Sarah \: walked \: = \frac{5 \times 5}{40} [/tex]
[tex] = \frac{25}{40} \: miles[/tex]
[tex] \frac{24}{40} < \frac{25}{40} [/tex]
Sarah walked farther than Ainsley .
[tex] \frac{25}{40} - \frac{24}{40} = \frac{1}{40} \: miles[/tex]
∴ Sarah walked farther than Ainsley by 1/40 miles .
PLS HELP 50 POINTS
Find the measures of angles A-G.
Answer:
Straight angle I hope if this helps please mark me as brainliest
Step-by-step explanation:
180° degrees
Answer:
A should be 42 and G should be i think 28-180 which is 152. hope that helps
PLz hep me with this qustion
Answer:
pretty sure its c
Step-by-step explanation:
Answer:
A is the answer.
Step-by-step explanation:
in 4 days a student studied 60 minutes which equation shows this relationship
Answer would be 4x=60
Answer:
4d = 60
Step-by-step explanation:
Let d represent the number of days.
4d = 60
‼️WILL LIST BRAINLIEST ‼️what is the equation?
Answer: 10 plus 13.50 plus another 13.50 for another 10 songs and then whatever is half of 13.50 which is 6.75 is the cost of the entire 25 songs which is 27 plus 6.75 and you would get 33.75 hope this helps
Step-by-step explanation:
Answer:
its 33.75
Step-by-step explanation:
pay attention
Each of your eight friends owes you 10$. use integer multiplaction to represent the total amount your friends owe you
Answer:
$80 bucks
Step-by-step explanation:
A file that is 228 megabytes is being downloaded. If the download is 19.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
I megabytes
5
?
I Don't Know
Submit
Answer:
44.9 megabytes
Step-by-step explanation:
all you need to do is find 19.7% of 228!
19.7% of 228 = 44.916
...!!.!.!.!.!.!.!.!.!.!.!.!.
Answer: It is proportional because 195/3 equals 65 and 325/5 equals 65 as well, so it is proportional.
Hope this helps! :)
As the driver of an 18-wheeler the maximum weight allowed for your truck in one state is 80,000 pounds. How many tons is that?
Answer: 40 tons
Step-by-step explanation:
One Ton= 2,000 lbs.
80,000/2,000= 40
Can anyone find X
Help, please
Please I need this help?
Answer:
6.35
Step-by-step explanation:
Solve for x in the figure below.
3x
H
4x+50
W
Answer:
x = 25
Step-by-step explanation:
3x + 4x + 5 = 180
7x + 5 = 180
- 5 - 5
7x = 175
x = 25
What is the value of x
9514 1404 393
Answer:
5 units
Step-by-step explanation:
In this geometry, all of the triangles are similar. So, the ratio of short side to long side can be ...
x/10 = 10/4x
4x^2 = 100 . . . . . cross multiply
x^2 = 25 . . . . . . . divide by 4
x = 5 . . . . . . . . . . square root